TSTP Solution File: SWW294+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW294+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 : n021.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 14:40:11 EDT 2024
% Result : Theorem 27.66s 27.85s
% Output : Proof 27.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW294+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n021.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 01:49:33 EDT 2024
% 0.13/0.34 % CPUTime :
% 27.66/27.85 % SZS status Theorem for theBenchmark
% 27.66/27.85 % SZS output start Proof for theBenchmark
% 27.66/27.85
% 27.66/27.85 % Formula: fact_ext ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I6_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I6_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u5) != hAPP(c_Com_Ocom_OBODY, _u7)) | ( _u5 = _u7) )).
% 27.66/27.85 cnf(fact_com_Osimps_I6_J-2, axiom, ( ( _u6 != _u8) | ( hAPP(c_Com_Ocom_OBODY, _u6) = hAPP(c_Com_Ocom_OBODY, _u8)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u9) | ( c_Groups_Ozero__class_Ozero(_u9) != _u10) | ( _u10 = c_Groups_Ozero__class_Ozero(_u9)) )).
% 27.66/27.85 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u9) | ( _u10 != c_Groups_Ozero__class_Ozero(_u9)) | ( c_Groups_Ozero__class_Ozero(_u9) = _u10) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I7_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I7_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY, _u11)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I15_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I15_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), hAPP(c_Com_Ocom_OBODY, _u12)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_bool_Osize_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_bool_Osize_I1_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_bool_Osize_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_bool_Osize_I2_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_size__literal__def ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_size__literal__def-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_String_Oliteral), _u13) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_char__size ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_char__size-1, axiom, ( ( c_String_Ochar_Ochar__size(_u14) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat_Osize_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 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)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_bool_Osize_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 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)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_bool_Osize_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 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)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_size__char ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_size__char-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_String_Ochar), _u15) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I9_J ( axiom ) converted to clauses:
% 27.66/27.85 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)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 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)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_char_Osize_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_char_Osize_I1_J-1, axiom, ( ( c_String_Ochar_Ochar__size(hAPP(hAPP(c_String_Ochar_OChar, _u16), _u17)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat_Osize_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 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)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I8_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I8_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(_u18, _u19, _u20)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I16_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I16_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCall(_u21, _u22, _u23)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I2_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(_u24, _u25)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I10_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I10_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OAss(_u26, _u27)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I70_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I70_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u28, _u29, _u30, _u31, _u32, _u33, _u34, _u35, _u36, hAPP(c_Com_Ocom_OBODY, _u37)) = hAPP(_u35, _u37)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_semigroup_Oassoc ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_semigroup_Oassoc-1, axiom, ( ( hAPP(hAPP(_u39, hAPP(hAPP(_u39, _u40), _u41)), _u42) = hAPP(hAPP(_u39, _u40), hAPP(hAPP(_u39, _u41), _u42))) | ~c_Groups_Osemigroup(_u38, _u39) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__monoid_Ocomm__neutral ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__monoid_Ocomm__neutral-1, axiom, ( ( hAPP(hAPP(_u44, _u46), _u45) = _u46) | ~c_Groups_Ocomm__monoid(_u43, _u44, _u45) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I8_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I8_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(_u47, _u48)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I20_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I20_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(_u49, _u50, _u51)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I9_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I9_J-1, axiom, ( ( c_Com_Ocom_OAss(_u52, _u53) != c_Com_Ocom_OSKIP) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I32_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I32_J-1, axiom, ( ( c_Com_Ocom_OAss(_u54, _u55) != c_Com_Ocom_OCall(_u56, _u57, _u58)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I21_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I21_J-1, axiom, ( ( c_Com_Ocom_OCall(_u59, _u60, _u61) != c_Com_Ocom_OSKIP) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I33_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I33_J-1, axiom, ( ( c_Com_Ocom_OCall(_u62, _u63, _u64) != c_Com_Ocom_OAss(_u65, _u66)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I1_J-1, axiom, ( ( c_Com_Ocom_OAss(_u71, _u73) != c_Com_Ocom_OAss(_u75, _u77)) | ( _u71 = _u75) )).
% 27.66/27.85 cnf(fact_com_Osimps_I1_J-2, axiom, ( ( c_Com_Ocom_OAss(_u71, _u73) != c_Com_Ocom_OAss(_u75, _u77)) | ( _u73 = _u77) )).
% 27.66/27.85 cnf(fact_com_Osimps_I1_J-3, axiom, ( ( _u72 != _u76) | ( _u74 != _u78) | ( c_Com_Ocom_OAss(_u72, _u74) = c_Com_Ocom_OAss(_u76, _u78)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_char_Oinject ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_char_Oinject-1, axiom, ( ( hAPP(hAPP(c_String_Ochar_OChar, _u83), _u85) != hAPP(hAPP(c_String_Ochar_OChar, _u87), _u89)) | ( _u83 = _u87) )).
% 27.66/27.85 cnf(fact_char_Oinject-2, axiom, ( ( hAPP(hAPP(c_String_Ochar_OChar, _u83), _u85) != hAPP(hAPP(c_String_Ochar_OChar, _u87), _u89)) | ( _u85 = _u89) )).
% 27.66/27.85 cnf(fact_char_Oinject-3, axiom, ( ( _u84 != _u88) | ( _u86 != _u90) | ( hAPP(hAPP(c_String_Ochar_OChar, _u84), _u86) = hAPP(hAPP(c_String_Ochar_OChar, _u88), _u90)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I7_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I7_J-1, axiom, ( ( c_Com_Ocom_OCall(_u97, _u99, _u101) != c_Com_Ocom_OCall(_u103, _u105, _u107)) | ( _u97 = _u103) )).
% 27.66/27.85 cnf(fact_com_Osimps_I7_J-2, axiom, ( ( c_Com_Ocom_OCall(_u97, _u99, _u101) != c_Com_Ocom_OCall(_u103, _u105, _u107)) | ( _u99 = _u105) )).
% 27.66/27.85 cnf(fact_com_Osimps_I7_J-3, axiom, ( ( c_Com_Ocom_OCall(_u97, _u99, _u101) != c_Com_Ocom_OCall(_u103, _u105, _u107)) | ( _u101 = _u107) )).
% 27.66/27.85 cnf(fact_com_Osimps_I7_J-4, axiom, ( ( _u98 != _u104) | ( _u100 != _u106) | ( _u102 != _u108) | ( c_Com_Ocom_OCall(_u98, _u100, _u102) = c_Com_Ocom_OCall(_u104, _u106, _u108)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I64_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I64_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u109, _u110, _u111, _u112, _u113, _u114, _u115, _u116, _u117, c_Com_Ocom_OSKIP) = _u110) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I65_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I65_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u118, _u119, _u120, _u121, _u122, _u123, _u124, _u125, _u126, c_Com_Ocom_OAss(_u127, _u128)) = hAPP(hAPP(_u120, _u127), _u128)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I71_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I71_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u129, _u130, _u131, _u132, _u133, _u134, _u135, _u136, _u137, c_Com_Ocom_OCall(_u138, _u139, _u140)) = hAPP(hAPP(hAPP(_u137, _u138), _u139), _u140)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__size ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat__size-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u141) = _u141) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_char_Osize_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_char_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_String_Ochar), hAPP(hAPP(c_String_Ochar_OChar, _u142), _u143)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I31_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I31_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u144) != c_Com_Ocom_OAss(_u145, _u146)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I30_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I30_J-1, axiom, ( ( c_Com_Ocom_OAss(_u147, _u148) != hAPP(c_Com_Ocom_OBODY, _u149)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I62_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I62_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u150) != c_Com_Ocom_OCall(_u151, _u152, _u153)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I63_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I63_J-1, axiom, ( ( c_Com_Ocom_OCall(_u154, _u155, _u156) != hAPP(c_Com_Ocom_OBODY, _u157)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I18_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I18_J-1, axiom, ( ( c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY, _u158)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I19_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I19_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u159) != c_Com_Ocom_OSKIP) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_OSkip ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_OSkip-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u160, _u161, _u160) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln__elim__cases_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln__elim__cases_I1_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u162, _u163, _u164) | ( _u164 = _u162) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_Oequations_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_Oequations_I1_J-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u165, _u166, _u165) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_char_Orecs ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_char_Orecs-1, axiom, ( ( c_String_Ochar_Ochar__rec(_u167, _u168, hAPP(hAPP(c_String_Ochar_OChar, _u169), _u170)) = hAPP(hAPP(_u168, _u169), _u170)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_char_Osimps_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_char_Osimps_I2_J-1, axiom, ( ( c_String_Ochar_Ochar__case(_u171, _u172, hAPP(hAPP(c_String_Ochar_OChar, _u173), _u174)) = hAPP(hAPP(_u172, _u173), _u174)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WTs__elim__cases_I8_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WTs__elim__cases_I8_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u176))) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u175, _u176, _u177))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_OCall ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_OCall-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u178))) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u179, _u178, _u180))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_Oequations_I8_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_Oequations_I8_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u186))) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u184, _u186, _u188))) )).
% 27.66/27.85 cnf(fact_WT_Oequations_I8_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u187))) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u185, _u187, _u189))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_OAssign ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_OAssign-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u190, _u191), _u192, _u193, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u192), _u190), hAPP(_u191, _u192))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln__elim__cases_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln__elim__cases_I2_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OAss(_u194, _u195), _u196, _u197, _u198) | ( _u198 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u196), _u194), hAPP(_u195, _u196))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Orecs_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Orecs_I1_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u199, _u200, _u201, _u202, _u203, _u204, _u205, _u206, _u207, c_Com_Ocom_OSKIP) = _u200) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Orecs_I8_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Orecs_I8_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u208, _u209, _u210, _u211, _u212, _u213, _u214, _u215, _u216, c_Com_Ocom_OCall(_u217, _u218, _u219)) = hAPP(hAPP(hAPP(_u216, _u217), _u218), _u219)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_Oequations_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_Oequations_I2_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OAss(_u220, _u221))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_OAssign ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_OAssign-1, axiom, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OAss(_u222, _u223))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_Oequations_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSKIP)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_OSkip ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_OSkip-1, axiom, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSKIP)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_Oequations_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_Oequations_I2_J-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u224, _u225), _u226, _u227, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u226), _u224), hAPP(_u225, _u226))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Orecs_I7_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Orecs_I7_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u228, _u229, _u230, _u231, _u232, _u233, _u234, _u235, _u236, hAPP(c_Com_Ocom_OBODY, _u237)) = hAPP(_u235, _u237)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Orecs_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Orecs_I2_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u238, _u239, _u240, _u241, _u242, _u243, _u244, _u245, _u246, c_Com_Ocom_OAss(_u247, _u248)) = hAPP(hAPP(_u240, _u247), _u248)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_OAssign ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_OAssign-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u249, _u250)), _u251), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u251), _u249), hAPP(_u250, _u251)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc__elim__cases_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc__elim__cases_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u252, _u253)), _u254), _u255)) | ( _u255 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u254), _u252), hAPP(_u253, _u254))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_Oequations_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_Oequations_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u256, _u257)), _u258), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u258), _u256), hAPP(_u257, _u258)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WTs__elim__cases_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WTs__elim__cases_I4_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u259, _u260))) | hBOOL(hAPP(c_Com_OWT, _u259)) )).
% 27.66/27.85 cnf(fact_WTs__elim__cases_I4_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u259, _u260))) | hBOOL(hAPP(c_Com_OWT, _u260)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_OSemi ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_OSemi-1, axiom, ( ~c_Natural_Oevaln(_u261, _u262, _u263, _u264) | ~c_Natural_Oevaln(_u265, _u264, _u263, _u266) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u261, _u265), _u262, _u263, _u266) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I67_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I67_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u267, _u268, _u269, _u270, _u271, _u272, _u273, _u274, _u275, c_Com_Ocom_OSemi(_u276, _u277)) = hAPP(hAPP(_u271, _u276), _u277)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WTs__elim__cases_I5_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WTs__elim__cases_I5_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u278, _u279, _u280))) | hBOOL(hAPP(c_Com_OWT, _u279)) )).
% 27.66/27.85 cnf(fact_WTs__elim__cases_I5_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u278, _u279, _u280))) | hBOOL(hAPP(c_Com_OWT, _u280)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln__elim__cases_I5_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln__elim__cases_I5_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u281, _u282, _u283), _u284, _u285, _u286) | hBOOL(hAPP(_u281, _u284)) | c_Natural_Oevaln(_u283, _u284, _u285, _u286) )).
% 27.66/27.85 cnf(fact_evaln__elim__cases_I5_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u281, _u282, _u283), _u284, _u285, _u286) | c_Natural_Oevaln(_u282, _u284, _u285, _u286) | ~hBOOL(hAPP(_u281, _u284)) )).
% 27.66/27.85 cnf(fact_evaln__elim__cases_I5_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u281, _u282, _u283), _u284, _u285, _u286) | c_Natural_Oevaln(_u282, _u284, _u285, _u286) | c_Natural_Oevaln(_u283, _u284, _u285, _u286) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_OIfTrue ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_OIfTrue-1, axiom, ( ~hBOOL(hAPP(_u287, _u288)) | ~c_Natural_Oevaln(_u289, _u288, _u290, _u291) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u287, _u289, _u292), _u288, _u290, _u291) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_OIfFalse ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_OIfFalse-1, axiom, ( hBOOL(hAPP(_u293, _u294)) | ~c_Natural_Oevaln(_u295, _u294, _u296, _u297) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u293, _u298, _u295), _u294, _u296, _u297) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WTs__elim__cases_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WTs__elim__cases_I3_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, _u301)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u299, _u300, _u301))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I68_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I68_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u302, _u303, _u304, _u305, _u306, _u307, _u308, _u309, _u310, c_Com_Ocom_OCond(_u311, _u312, _u313)) = hAPP(hAPP(hAPP(_u307, _u311), _u312), _u313)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_OIfFalse ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_OIfFalse-1, axiom, ( hBOOL(hAPP(_u314, _u315)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u316), _u315), _u317)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u314, _u318, _u316)), _u315), _u317)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_OIfTrue ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_OIfTrue-1, axiom, ( ~hBOOL(hAPP(_u319, _u320)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u321), _u320), _u322)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u319, _u321, _u323)), _u320), _u322)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc__elim__cases_I5_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc__elim__cases_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u324, _u325, _u326)), _u327), _u328)) | hBOOL(hAPP(_u324, _u327)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u326), _u327), _u328)) )).
% 27.66/27.85 cnf(fact_evalc__elim__cases_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u324, _u325, _u326)), _u327), _u328)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u325), _u327), _u328)) | ~hBOOL(hAPP(_u324, _u327)) )).
% 27.66/27.85 cnf(fact_evalc__elim__cases_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u324, _u325, _u326)), _u327), _u328)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u325), _u327), _u328)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u326), _u327), _u328)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_OSemi ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_OSemi-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u329), _u330), _u331)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u332), _u331), _u333)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u329, _u332)), _u330), _u333)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc__elim__cases_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc__elim__cases_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u334), _u335)) | ( _u335 = _u334) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_OSkip ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_OSkip-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u336), _u336)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_Oequations_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_Oequations_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u343, _u345)), _u347), _u349)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u343), _u347), skolem2(_u349, _u347, _u345, _u343))) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u343, _u345)), _u347), _u349)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u345), skolem2(_u349, _u347, _u345, _u343)), _u349)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I4_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u344), _u348), _u338)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u346), _u338), _u350)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u344, _u346)), _u348), _u350)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_Oequations_I5_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_Oequations_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u356, _u358, _u360)), _u362), _u364)) | hBOOL(hAPP(_u356, _u362)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u360), _u362), _u364)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u356, _u358, _u360)), _u362), _u364)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u358), _u362), _u364)) | ~hBOOL(hAPP(_u356, _u362)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u356, _u358, _u360)), _u362), _u364)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u358), _u362), _u364)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u360), _u362), _u364)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I5_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u357, _u359, _u361)), _u363), _u365)) | ~hBOOL(hAPP(_u357, _u363)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u359), _u363), _u365)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I5_J-5, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u357, _u359, _u361)), _u363), _u365)) | hBOOL(hAPP(_u357, _u363)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u361), _u363), _u365)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_Oequations_I6_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_Oequations_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u371, _u373, _u375)), _u377), _u379)) | hBOOL(hAPP(_u371, _u377)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u375), _u377), _u379)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I6_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u371, _u373, _u375)), _u377), _u379)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u373), _u377), _u379)) | ~hBOOL(hAPP(_u371, _u377)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I6_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u371, _u373, _u375)), _u377), _u379)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u373), _u377), _u379)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u375), _u377), _u379)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I6_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u372, _u374, _u376)), _u378), _u380)) | ~hBOOL(hAPP(_u372, _u378)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u374), _u378), _u380)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I6_J-5, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u372, _u374, _u376)), _u378), _u380)) | hBOOL(hAPP(_u372, _u378)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u376), _u378), _u380)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com__det ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com__det-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u381), _u382), _u383)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u381), _u382), _u384)) | ( _u384 = _u383) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I44_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I44_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u385, _u386) != c_Com_Ocom_OCond(_u387, _u388, _u389)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I35_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I35_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u390, _u391) != c_Com_Ocom_OLocal(_u392, _u393, _u394)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I45_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I45_J-1, axiom, ( ( c_Com_Ocom_OCond(_u395, _u396, _u397) != c_Com_Ocom_OSemi(_u398, _u399)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I34_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I34_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u400, _u401, _u402) != c_Com_Ocom_OSemi(_u403, _u404)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I37_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I37_J-1, axiom, ( ( c_Com_Ocom_OCond(_u405, _u406, _u407) != c_Com_Ocom_OLocal(_u408, _u409, _u410)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I36_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I36_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u411, _u412, _u413) != c_Com_Ocom_OCond(_u414, _u415, _u416)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I3_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u421, _u423) != c_Com_Ocom_OSemi(_u425, _u427)) | ( _u421 = _u425) )).
% 27.66/27.85 cnf(fact_com_Osimps_I3_J-2, axiom, ( ( c_Com_Ocom_OSemi(_u421, _u423) != c_Com_Ocom_OSemi(_u425, _u427)) | ( _u423 = _u427) )).
% 27.66/27.85 cnf(fact_com_Osimps_I3_J-3, axiom, ( ( _u422 != _u426) | ( _u424 != _u428) | ( c_Com_Ocom_OSemi(_u422, _u424) = c_Com_Ocom_OSemi(_u426, _u428)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I4_J-1, axiom, ( ( c_Com_Ocom_OCond(_u435, _u437, _u439) != c_Com_Ocom_OCond(_u441, _u443, _u445)) | ( _u435 = _u441) )).
% 27.66/27.85 cnf(fact_com_Osimps_I4_J-2, axiom, ( ( c_Com_Ocom_OCond(_u435, _u437, _u439) != c_Com_Ocom_OCond(_u441, _u443, _u445)) | ( _u437 = _u443) )).
% 27.66/27.85 cnf(fact_com_Osimps_I4_J-3, axiom, ( ( c_Com_Ocom_OCond(_u435, _u437, _u439) != c_Com_Ocom_OCond(_u441, _u443, _u445)) | ( _u439 = _u445) )).
% 27.66/27.85 cnf(fact_com_Osimps_I4_J-4, axiom, ( ( _u436 != _u442) | ( _u438 != _u444) | ( _u440 != _u446) | ( c_Com_Ocom_OCond(_u436, _u438, _u440) = c_Com_Ocom_OCond(_u442, _u444, _u446)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I2_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u453, _u455, _u457) != c_Com_Ocom_OLocal(_u459, _u461, _u463)) | ( _u453 = _u459) )).
% 27.66/27.85 cnf(fact_com_Osimps_I2_J-2, axiom, ( ( c_Com_Ocom_OLocal(_u453, _u455, _u457) != c_Com_Ocom_OLocal(_u459, _u461, _u463)) | ( _u455 = _u461) )).
% 27.66/27.85 cnf(fact_com_Osimps_I2_J-3, axiom, ( ( c_Com_Ocom_OLocal(_u453, _u455, _u457) != c_Com_Ocom_OLocal(_u459, _u461, _u463)) | ( _u457 = _u463) )).
% 27.66/27.85 cnf(fact_com_Osimps_I2_J-4, axiom, ( ( _u454 != _u460) | ( _u456 != _u462) | ( _u458 != _u464) | ( c_Com_Ocom_OLocal(_u454, _u456, _u458) = c_Com_Ocom_OLocal(_u460, _u462, _u464)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_eval__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_eval__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u470), _u472), _u474)) | c_Natural_Oevaln(_u470, _u472, skolem3(_u474, _u472, _u470), _u474) )).
% 27.66/27.85 cnf(fact_eval__eq-2, axiom, ( ~c_Natural_Oevaln(_u471, _u473, _u466, _u475) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u471), _u473), _u475)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln__evalc ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln__evalc-1, axiom, ( ~c_Natural_Oevaln(_u476, _u477, _u478, _u479) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u476), _u477), _u479)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_Oequations_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u480), _u480)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_Oequations_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_Oequations_I3_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, _u488)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u484, _u486, _u488))) )).
% 27.66/27.85 cnf(fact_WT_Oequations_I3_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u489)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u485, _u487, _u489))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_OLocal ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_OLocal-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u490)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u491, _u492, _u490))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_Oequations_I5_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_Oequations_I5_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u499, _u501, _u503), _u505, _u507, _u509) | hBOOL(hAPP(_u499, _u505)) | c_Natural_Oevaln(_u503, _u505, _u507, _u509) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I5_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u499, _u501, _u503), _u505, _u507, _u509) | c_Natural_Oevaln(_u501, _u505, _u507, _u509) | ~hBOOL(hAPP(_u499, _u505)) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I5_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u499, _u501, _u503), _u505, _u507, _u509) | c_Natural_Oevaln(_u501, _u505, _u507, _u509) | c_Natural_Oevaln(_u503, _u505, _u507, _u509) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I5_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u500, _u502, _u504), _u506, _u508, _u510) | ~hBOOL(hAPP(_u500, _u506)) | ~c_Natural_Oevaln(_u502, _u506, _u508, _u510) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I5_J-5, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u500, _u502, _u504), _u506, _u508, _u510) | hBOOL(hAPP(_u500, _u506)) | ~c_Natural_Oevaln(_u504, _u506, _u508, _u510) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_Oequations_I6_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_Oequations_I6_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u517, _u519, _u521), _u523, _u525, _u527) | hBOOL(hAPP(_u517, _u523)) | c_Natural_Oevaln(_u521, _u523, _u525, _u527) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I6_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u517, _u519, _u521), _u523, _u525, _u527) | c_Natural_Oevaln(_u519, _u523, _u525, _u527) | ~hBOOL(hAPP(_u517, _u523)) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I6_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u517, _u519, _u521), _u523, _u525, _u527) | c_Natural_Oevaln(_u519, _u523, _u525, _u527) | c_Natural_Oevaln(_u521, _u523, _u525, _u527) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I6_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u518, _u520, _u522), _u524, _u526, _u528) | ~hBOOL(hAPP(_u518, _u524)) | ~c_Natural_Oevaln(_u520, _u524, _u526, _u528) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I6_J-5, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u518, _u520, _u522), _u524, _u526, _u528) | hBOOL(hAPP(_u518, _u524)) | ~c_Natural_Oevaln(_u522, _u524, _u526, _u528) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I41_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I41_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u529) != c_Com_Ocom_OLocal(_u530, _u531, _u532)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I40_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I40_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u533, _u534, _u535) != hAPP(c_Com_Ocom_OBODY, _u536)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_Oequations_I5_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_Oequations_I5_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u540, _u542, _u544))) | hBOOL(hAPP(c_Com_OWT, _u542)) )).
% 27.66/27.85 cnf(fact_WT_Oequations_I5_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u540, _u542, _u544))) | hBOOL(hAPP(c_Com_OWT, _u544)) )).
% 27.66/27.85 cnf(fact_WT_Oequations_I5_J-3, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u543)) | ~hBOOL(hAPP(c_Com_OWT, _u545)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u541, _u543, _u545))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_OIf ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_OIf-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u546)) | ~hBOOL(hAPP(c_Com_OWT, _u547)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u548, _u546, _u547))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I55_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I55_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u549) != c_Com_Ocom_OCond(_u550, _u551, _u552)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I54_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I54_J-1, axiom, ( ( c_Com_Ocom_OCond(_u553, _u554, _u555) != hAPP(c_Com_Ocom_OBODY, _u556)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_Oequations_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_Oequations_I4_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u564, _u566), _u568, _u570, _u572) | c_Natural_Oevaln(_u564, _u568, _u570, skolem4(_u572, _u570, _u568, _u566, _u564)) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I4_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u564, _u566), _u568, _u570, _u572) | c_Natural_Oevaln(_u566, skolem4(_u572, _u570, _u568, _u566, _u564), _u570, _u572) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I4_J-3, axiom, ( ~c_Natural_Oevaln(_u565, _u569, _u571, _u558) | ~c_Natural_Oevaln(_u567, _u558, _u571, _u573) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u565, _u567), _u569, _u571, _u573) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I22_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I22_J-1, axiom, ( ( c_Com_Ocom_OAss(_u574, _u575) != c_Com_Ocom_OLocal(_u576, _u577, _u578)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I23_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I23_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u579, _u580, _u581) != c_Com_Ocom_OAss(_u582, _u583)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I43_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I43_J-1, axiom, ( ( c_Com_Ocom_OCall(_u584, _u585, _u586) != c_Com_Ocom_OLocal(_u587, _u588, _u589)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I42_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I42_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u590, _u591, _u592) != c_Com_Ocom_OCall(_u593, _u594, _u595)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I10_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I10_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u596, _u597, _u598)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I11_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I11_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u599, _u600, _u601) != c_Com_Ocom_OSKIP) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_Oequations_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_Oequations_I4_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u604, _u606))) | hBOOL(hAPP(c_Com_OWT, _u604)) )).
% 27.66/27.85 cnf(fact_WT_Oequations_I4_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u604, _u606))) | hBOOL(hAPP(c_Com_OWT, _u606)) )).
% 27.66/27.85 cnf(fact_WT_Oequations_I4_J-3, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u605)) | ~hBOOL(hAPP(c_Com_OWT, _u607)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u605, _u607))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_OSemi ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_OSemi-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u608)) | ~hBOOL(hAPP(c_Com_OWT, _u609)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u608, _u609))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I26_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I26_J-1, axiom, ( ( c_Com_Ocom_OAss(_u610, _u611) != c_Com_Ocom_OCond(_u612, _u613, _u614)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I27_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I27_J-1, axiom, ( ( c_Com_Ocom_OCond(_u615, _u616, _u617) != c_Com_Ocom_OAss(_u618, _u619)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I57_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I57_J-1, axiom, ( ( c_Com_Ocom_OCall(_u620, _u621, _u622) != c_Com_Ocom_OCond(_u623, _u624, _u625)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I56_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I56_J-1, axiom, ( ( c_Com_Ocom_OCond(_u626, _u627, _u628) != c_Com_Ocom_OCall(_u629, _u630, _u631)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I14_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I14_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u632, _u633, _u634)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I15_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I15_J-1, axiom, ( ( c_Com_Ocom_OCond(_u635, _u636, _u637) != c_Com_Ocom_OSKIP) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I49_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I49_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u638) != c_Com_Ocom_OSemi(_u639, _u640)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I48_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I48_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u641, _u642) != hAPP(c_Com_Ocom_OBODY, _u643)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I24_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I24_J-1, axiom, ( ( c_Com_Ocom_OAss(_u644, _u645) != c_Com_Ocom_OSemi(_u646, _u647)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I25_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I25_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u648, _u649) != c_Com_Ocom_OAss(_u650, _u651)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I50_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I50_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u652, _u653) != c_Com_Ocom_OCall(_u654, _u655, _u656)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I51_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I51_J-1, axiom, ( ( c_Com_Ocom_OCall(_u657, _u658, _u659) != c_Com_Ocom_OSemi(_u660, _u661)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I12_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I12_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u662, _u663)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I13_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I13_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u664, _u665) != c_Com_Ocom_OSKIP) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Orecs_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Orecs_I3_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u666, _u667, _u668, _u669, _u670, _u671, _u672, _u673, _u674, c_Com_Ocom_OLocal(_u675, _u676, _u677)) = hAPP(hAPP(hAPP(hAPP(_u669, _u675), _u676), _u677), c_Com_Ocom_Ocom__rec(_u666, _u667, _u668, _u669, _u670, _u671, _u672, _u673, _u674, _u677))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Orecs_I5_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Orecs_I5_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u678, _u679, _u680, _u681, _u682, _u683, _u684, _u685, _u686, c_Com_Ocom_OCond(_u687, _u688, _u689)) = hAPP(hAPP(hAPP(hAPP(hAPP(_u683, _u687), _u688), _u689), c_Com_Ocom_Ocom__rec(_u678, _u679, _u680, _u681, _u682, _u683, _u684, _u685, _u686, _u688)), c_Com_Ocom_Ocom__rec(_u678, _u679, _u680, _u681, _u682, _u683, _u684, _u685, _u686, _u689))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Orecs_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Orecs_I4_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u690, _u691, _u692, _u693, _u694, _u695, _u696, _u697, _u698, c_Com_Ocom_OSemi(_u699, _u700)) = hAPP(hAPP(hAPP(hAPP(_u694, _u699), _u700), c_Com_Ocom_Ocom__rec(_u690, _u691, _u692, _u693, _u694, _u695, _u696, _u697, _u698, _u699)), c_Com_Ocom_Ocom__rec(_u690, _u691, _u692, _u693, _u694, _u695, _u696, _u697, _u698, _u700))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I66_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I66_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u701, _u702, _u703, _u704, _u705, _u706, _u707, _u708, _u709, c_Com_Ocom_OLocal(_u710, _u711, _u712)) = hAPP(hAPP(hAPP(_u704, _u710), _u711), _u712)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc__elim__cases_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc__elim__cases_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u714, _u715)), _u716), _u717)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u714), _u716), skolem5(_u717, _u716, _u715, _u714))) )).
% 27.66/27.85 cnf(fact_evalc__elim__cases_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u714, _u715)), _u716), _u717)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u715), skolem5(_u717, _u716, _u715, _u714)), _u717)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln__elim__cases_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln__elim__cases_I4_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u719, _u720), _u721, _u722, _u723) | c_Natural_Oevaln(_u719, _u721, _u722, skolem6(_u723, _u722, _u721, _u720, _u719)) )).
% 27.66/27.85 cnf(fact_evaln__elim__cases_I4_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u719, _u720), _u721, _u722, _u723) | c_Natural_Oevaln(_u720, skolem6(_u723, _u722, _u721, _u720, _u719), _u722, _u723) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc__evaln ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc__evaln-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u725), _u726), _u727)) | c_Natural_Oevaln(_u725, _u726, skolem7(_u727, _u726, _u725), _u727) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_OLocal ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_OLocal-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u728), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u729), c_Com_Ovname_OLoc(_u730)), hAPP(_u731, _u729))), _u732)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u730, _u731, _u728)), _u729), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u732), c_Com_Ovname_OLoc(_u730)), hAPP(hAPP(c_Natural_Ogetlocs, _u729), _u730)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_OLocal ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_OLocal-1, axiom, ( ~c_Natural_Oevaln(_u733, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u734), c_Com_Ovname_OLoc(_u735)), hAPP(_u736, _u734)), _u737, _u738) | c_Natural_Oevaln(c_Com_Ocom_OLocal(_u735, _u736, _u733), _u734, _u737, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u738), c_Com_Ovname_OLoc(_u735)), hAPP(hAPP(c_Natural_Ogetlocs, _u734), _u735))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_Oequations_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_Oequations_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u746, _u748, _u750)), _u752), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u754), c_Com_Ovname_OLoc(_u746)), hAPP(hAPP(c_Natural_Ogetlocs, _u752), _u746)))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u754), c_Com_Ovname_OLoc(_u746)), hAPP(hAPP(c_Natural_Ogetlocs, _u752), _u746)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem8(_u754, _u752, _u750, _u748, _u746)), c_Com_Ovname_OLoc(_u746)), hAPP(hAPP(c_Natural_Ogetlocs, _u752), _u746))) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u746, _u748, _u750)), _u752), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u754), c_Com_Ovname_OLoc(_u746)), hAPP(hAPP(c_Natural_Ogetlocs, _u752), _u746)))) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u750), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u752), c_Com_Ovname_OLoc(_u746)), hAPP(_u748, _u752))), skolem8(_u754, _u752, _u750, _u748, _u746))) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I3_J-3, axiom, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u755), c_Com_Ovname_OLoc(_u747)), hAPP(hAPP(c_Natural_Ogetlocs, _u753), _u747)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, _u740), c_Com_Ovname_OLoc(_u747)), hAPP(hAPP(c_Natural_Ogetlocs, _u753), _u747))) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u751), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u753), c_Com_Ovname_OLoc(_u747)), hAPP(_u749, _u753))), _u740)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u747, _u749, _u751)), _u753), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u755), c_Com_Ovname_OLoc(_u747)), hAPP(hAPP(c_Natural_Ogetlocs, _u753), _u747)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_Oequations_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_Oequations_I3_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u764, _u766, _u768), _u770, _u772, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u774), c_Com_Ovname_OLoc(_u764)), hAPP(hAPP(c_Natural_Ogetlocs, _u770), _u764))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u774), c_Com_Ovname_OLoc(_u764)), hAPP(hAPP(c_Natural_Ogetlocs, _u770), _u764)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem9(_u774, _u772, _u770, _u768, _u766, _u764)), c_Com_Ovname_OLoc(_u764)), hAPP(hAPP(c_Natural_Ogetlocs, _u770), _u764))) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I3_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u764, _u766, _u768), _u770, _u772, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u774), c_Com_Ovname_OLoc(_u764)), hAPP(hAPP(c_Natural_Ogetlocs, _u770), _u764))) | c_Natural_Oevaln(_u768, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u770), c_Com_Ovname_OLoc(_u764)), hAPP(_u766, _u770)), _u772, skolem9(_u774, _u772, _u770, _u768, _u766, _u764)) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I3_J-3, axiom, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u775), c_Com_Ovname_OLoc(_u765)), hAPP(hAPP(c_Natural_Ogetlocs, _u771), _u765)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, _u757), c_Com_Ovname_OLoc(_u765)), hAPP(hAPP(c_Natural_Ogetlocs, _u771), _u765))) | ~c_Natural_Oevaln(_u769, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u771), c_Com_Ovname_OLoc(_u765)), hAPP(_u767, _u771)), _u773, _u757) | c_Natural_Oevaln(c_Com_Ocom_OLocal(_u765, _u767, _u769), _u771, _u773, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u775), c_Com_Ovname_OLoc(_u765)), hAPP(hAPP(c_Natural_Ogetlocs, _u771), _u765))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_OBody ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_OBody-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u776))), _u777), _u778)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u776)), _u777), _u778)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc__elim__cases_I6_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc__elim__cases_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u779)), _u780), _u781)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u779))), _u780), _u781)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WTs__elim__cases_I6_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WTs__elim__cases_I6_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, _u783)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u782, _u783))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_OWhileFalse ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_OWhileFalse-1, axiom, ( hBOOL(hAPP(_u784, _u785)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u784, _u786)), _u785), _u785)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_OWhileTrue ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_OWhileTrue-1, axiom, ( ~hBOOL(hAPP(_u787, _u788)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u789), _u788), _u790)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u787, _u789)), _u790), _u791)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u787, _u789)), _u788), _u791)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_OWhileTrue ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_OWhileTrue-1, axiom, ( ~hBOOL(hAPP(_u792, _u793)) | ~c_Natural_Oevaln(_u794, _u793, _u795, _u796) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u792, _u794), _u796, _u795, _u797) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u792, _u794), _u793, _u795, _u797) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_OWhileFalse ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_OWhileFalse-1, axiom, ( hBOOL(hAPP(_u798, _u799)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u798, _u800), _u799, _u801, _u799) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I5_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I5_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u806, _u808) != c_Com_Ocom_OWhile(_u810, _u812)) | ( _u806 = _u810) )).
% 27.66/27.85 cnf(fact_com_Osimps_I5_J-2, axiom, ( ( c_Com_Ocom_OWhile(_u806, _u808) != c_Com_Ocom_OWhile(_u810, _u812)) | ( _u808 = _u812) )).
% 27.66/27.85 cnf(fact_com_Osimps_I5_J-3, axiom, ( ( _u807 != _u811) | ( _u809 != _u813) | ( c_Com_Ocom_OWhile(_u807, _u809) = c_Com_Ocom_OWhile(_u811, _u813)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_vname_Osimps_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_vname_Osimps_I2_J-1, axiom, ( ( c_Com_Ovname_OLoc(_u816) != c_Com_Ovname_OLoc(_u818)) | ( _u816 = _u818) )).
% 27.66/27.85 cnf(fact_vname_Osimps_I2_J-2, axiom, ( ( _u817 != _u819) | ( c_Com_Ovname_OLoc(_u817) = c_Com_Ovname_OLoc(_u819)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_Oequations_I8_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_Oequations_I8_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), _u831, _u833, _u835) | ( _u835 = _u831) | hBOOL(hAPP(_u827, _u831)) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I8_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), _u831, _u833, _u835) | ( _u835 = _u831) | c_Natural_Oevaln(_u829, _u831, _u833, skolem10(_u835, _u833, _u831, _u829, _u827)) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I8_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), _u831, _u833, _u835) | ( _u835 = _u831) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), skolem10(_u835, _u833, _u831, _u829, _u827), _u833, _u835) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I8_J-4, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), _u831, _u833, _u835) | ~hBOOL(hAPP(_u827, _u831)) | c_Natural_Oevaln(_u829, _u831, _u833, skolem10(_u835, _u833, _u831, _u829, _u827)) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I8_J-5, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), _u831, _u833, _u835) | ~hBOOL(hAPP(_u827, _u831)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), skolem10(_u835, _u833, _u831, _u829, _u827), _u833, _u835) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I8_J-6, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u828, _u830), _u832, _u834, _u836) | ( _u836 != _u832) | hBOOL(hAPP(_u828, _u832)) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I8_J-7, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u828, _u830), _u832, _u834, _u836) | ~hBOOL(hAPP(_u828, _u832)) | ~c_Natural_Oevaln(_u830, _u832, _u834, _u821) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u828, _u830), _u821, _u834, _u836) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_Oequations_I7_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_Oequations_I7_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u843, _u845), _u847, _u849, _u847) | ~hBOOL(hAPP(_u843, _u847)) | c_Natural_Oevaln(_u845, _u847, _u849, skolem11(_u849, _u847, _u845, _u843)) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I7_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u843, _u845), _u847, _u849, _u847) | ~hBOOL(hAPP(_u843, _u847)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u843, _u845), skolem11(_u849, _u847, _u845, _u843), _u849, _u847) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I7_J-3, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u844, _u846), _u848, _u850, _u848) | hBOOL(hAPP(_u844, _u848)) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I7_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u844, _u846), _u848, _u850, _u848) | ~c_Natural_Oevaln(_u846, _u848, _u850, _u838) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u844, _u846), _u838, _u850, _u848) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_Oequations_I8_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_Oequations_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), _u861), _u863)) | ( _u863 = _u861) | hBOOL(hAPP(_u857, _u861)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), _u861), _u863)) | ( _u863 = _u861) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u859), _u861), skolem12(_u863, _u861, _u859, _u857))) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I8_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), _u861), _u863)) | ( _u863 = _u861) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), skolem12(_u863, _u861, _u859, _u857)), _u863)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I8_J-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), _u861), _u863)) | ~hBOOL(hAPP(_u857, _u861)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u859), _u861), skolem12(_u863, _u861, _u859, _u857))) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I8_J-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), _u861), _u863)) | ~hBOOL(hAPP(_u857, _u861)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), skolem12(_u863, _u861, _u859, _u857)), _u863)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I8_J-6, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u858, _u860)), _u862), _u864)) | ( _u864 != _u862) | hBOOL(hAPP(_u858, _u862)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I8_J-7, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u858, _u860)), _u862), _u864)) | ~hBOOL(hAPP(_u858, _u862)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u860), _u862), _u852)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u858, _u860)), _u852), _u864)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_Oequations_I7_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_Oequations_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u870, _u872)), _u874), _u874)) | ~hBOOL(hAPP(_u870, _u874)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u872), _u874), skolem13(_u874, _u872, _u870))) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I7_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u870, _u872)), _u874), _u874)) | ~hBOOL(hAPP(_u870, _u874)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u870, _u872)), skolem13(_u874, _u872, _u870)), _u874)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I7_J-3, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u871, _u873)), _u875), _u875)) | hBOOL(hAPP(_u871, _u875)) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I7_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u871, _u873)), _u875), _u875)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u873), _u875), _u866)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u871, _u873)), _u866), _u875)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_While ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_While-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u876)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u877, _u876))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_Oequations_I6_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_Oequations_I6_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, _u882)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u880, _u882))) )).
% 27.66/27.85 cnf(fact_WT_Oequations_I6_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u883)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u881, _u883))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I58_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I58_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u884, _u885) != hAPP(c_Com_Ocom_OBODY, _u886)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I59_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I59_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u887) != c_Com_Ocom_OWhile(_u888, _u889)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I52_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I52_J-1, axiom, ( ( c_Com_Ocom_OCond(_u890, _u891, _u892) != c_Com_Ocom_OWhile(_u893, _u894)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I53_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I53_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u895, _u896) != c_Com_Ocom_OCond(_u897, _u898, _u899)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I29_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I29_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u900, _u901) != c_Com_Ocom_OAss(_u902, _u903)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I28_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I28_J-1, axiom, ( ( c_Com_Ocom_OAss(_u904, _u905) != c_Com_Ocom_OWhile(_u906, _u907)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I61_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I61_J-1, axiom, ( ( c_Com_Ocom_OCall(_u908, _u909, _u910) != c_Com_Ocom_OWhile(_u911, _u912)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I60_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I60_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u913, _u914) != c_Com_Ocom_OCall(_u915, _u916, _u917)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I38_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I38_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u918, _u919, _u920) != c_Com_Ocom_OWhile(_u921, _u922)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I39_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I39_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u923, _u924) != c_Com_Ocom_OLocal(_u925, _u926, _u927)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I47_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I47_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u928, _u929) != c_Com_Ocom_OSemi(_u930, _u931)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I46_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I46_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u932, _u933) != c_Com_Ocom_OWhile(_u934, _u935)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I17_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I17_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u936, _u937) != c_Com_Ocom_OSKIP) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I16_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I16_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u938, _u939)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Orecs_I6_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Orecs_I6_J-1, axiom, ( ( c_Com_Ocom_Ocom__rec(_u940, _u941, _u942, _u943, _u944, _u945, _u946, _u947, _u948, c_Com_Ocom_OWhile(_u949, _u950)) = hAPP(hAPP(hAPP(_u946, _u949), _u950), c_Com_Ocom_Ocom__rec(_u940, _u941, _u942, _u943, _u944, _u945, _u946, _u947, _u948, _u950))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_Oequations_I9_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_Oequations_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u954)), _u956), _u958)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u954))), _u956), _u958)) )).
% 27.66/27.85 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, _u955))), _u957), _u959)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u955)), _u957), _u959)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osimps_I69_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osimps_I69_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u960, _u961, _u962, _u963, _u964, _u965, _u966, _u967, _u968, c_Com_Ocom_OWhile(_u969, _u970)) = hAPP(hAPP(_u966, _u969), _u970)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_vname_Osize_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_vname_Osize_I2_J-1, axiom, ( ( c_Com_Ovname_Ovname__size(c_Com_Ovname_OLoc(_u971)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc__elim__cases_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc__elim__cases_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u973, _u974, _u975)), _u976), _u977)) | ( _u977 = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem14(_u977, _u976, _u975, _u974, _u973)), c_Com_Ovname_OLoc(_u973)), hAPP(hAPP(c_Natural_Ogetlocs, _u976), _u973))) )).
% 27.66/27.85 cnf(fact_evalc__elim__cases_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u973, _u974, _u975)), _u976), _u977)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u975), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u976), c_Com_Ovname_OLoc(_u973)), hAPP(_u974, _u976))), skolem14(_u977, _u976, _u975, _u974, _u973))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln__elim__cases_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln__elim__cases_I3_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u979, _u980, _u981), _u982, _u983, _u984) | ( _u984 = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem15(_u984, _u983, _u982, _u981, _u980, _u979)), c_Com_Ovname_OLoc(_u979)), hAPP(hAPP(c_Natural_Ogetlocs, _u982), _u979))) )).
% 27.66/27.85 cnf(fact_evaln__elim__cases_I3_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u979, _u980, _u981), _u982, _u983, _u984) | c_Natural_Oevaln(_u981, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u982), c_Com_Ovname_OLoc(_u979)), hAPP(_u980, _u982)), _u983, skolem15(_u984, _u983, _u982, _u981, _u980, _u979)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_vname_Osize_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_vname_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname), c_Com_Ovname_OLoc(_u985)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_OBody ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_OBody-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u986)), _u987, _u988, _u989) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u986), _u987, hAPP(c_Nat_OSuc, _u988), _u989) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_vname_Osimps_I6_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_vname_Osimps_I6_J-1, axiom, ( ( c_Com_Ovname_Ovname__case(_u990, _u991, _u992, c_Com_Ovname_OLoc(_u993)) = hAPP(_u992, _u993)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_vname_Orecs_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_vname_Orecs_I2_J-1, axiom, ( ( c_Com_Ovname_Ovname__rec(_u994, _u995, _u996, c_Com_Ovname_OLoc(_u997)) = hAPP(_u996, _u997)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_Oequations_I9_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_Oequations_I9_J-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1002), _u1004, hAPP(c_Nat_OSuc, _u1006), _u1008) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1002)), _u1004, _u1006, _u1008) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I9_J-2, axiom, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1003)), _u1005, _u1007, _u1009) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1003), _u1005, hAPP(c_Nat_OSuc, _u1007), _u1009) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_OBody ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_OBody-1, axiom, ( ( hAPP(c_Com_Obody, _u1010) = c_Option_Ooption_ONone(tc_Com_Ocom)) | hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1010))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT_Oequations_I7_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT_Oequations_I7_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1014))) | ( hAPP(c_Com_Obody, _u1014) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), skolem16(_u1014))) )).
% 27.66/27.85 cnf(fact_WT_Oequations_I7_J-2, axiom, ( ( hAPP(c_Com_Obody, _u1015) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _u1012)) | hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1015))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_OCall ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_OCall-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1016)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1017), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1018, _u1017))), _u1019)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u1020, _u1016, _u1018)), _u1017), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1019), hAPP(c_Natural_Ogetlocs, _u1017))), _u1020), hAPP(hAPP(c_Natural_Ogetlocs, _u1019), c_Com_ORes)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_OCall ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_OCall-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1021), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1022), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1023, _u1022)), _u1024, _u1025) | c_Natural_Oevaln(c_Com_Ocom_OCall(_u1026, _u1021, _u1023), _u1022, _u1024, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1025), hAPP(c_Natural_Ogetlocs, _u1022))), _u1026), hAPP(hAPP(c_Natural_Ogetlocs, _u1025), c_Com_ORes))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln__Suc ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln__Suc-1, axiom, ( ~c_Natural_Oevaln(_u1027, _u1028, _u1029, _u1030) | c_Natural_Oevaln(_u1027, _u1028, hAPP(c_Nat_OSuc, _u1029), _u1030) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln_Oequations_I10_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln_Oequations_I10_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u1039, _u1041, _u1043), _u1045, _u1047, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1049), hAPP(c_Natural_Ogetlocs, _u1045))), _u1039), hAPP(hAPP(c_Natural_Ogetlocs, _u1049), c_Com_ORes))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1049), hAPP(c_Natural_Ogetlocs, _u1045))), _u1039), hAPP(hAPP(c_Natural_Ogetlocs, _u1049), c_Com_ORes)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem17(_u1049, _u1047, _u1045, _u1043, _u1041, _u1039)), hAPP(c_Natural_Ogetlocs, _u1045))), _u1039), hAPP(hAPP(c_Natural_Ogetlocs, skolem17(_u1049, _u1047, _u1045, _u1043, _u1041, _u1039)), c_Com_ORes))) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I10_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u1039, _u1041, _u1043), _u1045, _u1047, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1049), hAPP(c_Natural_Ogetlocs, _u1045))), _u1039), hAPP(hAPP(c_Natural_Ogetlocs, _u1049), c_Com_ORes))) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1041), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1045), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1043, _u1045)), _u1047, skolem17(_u1049, _u1047, _u1045, _u1043, _u1041, _u1039)) )).
% 27.66/27.85 cnf(fact_evaln_Oequations_I10_J-3, axiom, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1050), hAPP(c_Natural_Ogetlocs, _u1046))), _u1040), hAPP(hAPP(c_Natural_Ogetlocs, _u1050), c_Com_ORes)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1032), hAPP(c_Natural_Ogetlocs, _u1046))), _u1040), hAPP(hAPP(c_Natural_Ogetlocs, _u1032), c_Com_ORes))) | ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1042), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1046), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1044, _u1046)), _u1048, _u1032) | c_Natural_Oevaln(c_Com_Ocom_OCall(_u1040, _u1042, _u1044), _u1046, _u1048, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1050), hAPP(c_Natural_Ogetlocs, _u1046))), _u1040), hAPP(hAPP(c_Natural_Ogetlocs, _u1050), c_Com_ORes))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc_Oequations_I10_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc_Oequations_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u1058, _u1060, _u1062)), _u1064), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1066), hAPP(c_Natural_Ogetlocs, _u1064))), _u1058), hAPP(hAPP(c_Natural_Ogetlocs, _u1066), c_Com_ORes)))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1066), hAPP(c_Natural_Ogetlocs, _u1064))), _u1058), hAPP(hAPP(c_Natural_Ogetlocs, _u1066), c_Com_ORes)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem18(_u1066, _u1064, _u1062, _u1060, _u1058)), hAPP(c_Natural_Ogetlocs, _u1064))), _u1058), hAPP(hAPP(c_Natural_Ogetlocs, skolem18(_u1066, _u1064, _u1062, _u1060, _u1058)), c_Com_ORes))) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u1058, _u1060, _u1062)), _u1064), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1066), hAPP(c_Natural_Ogetlocs, _u1064))), _u1058), hAPP(hAPP(c_Natural_Ogetlocs, _u1066), c_Com_ORes)))) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1060)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1064), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1062, _u1064))), skolem18(_u1066, _u1064, _u1062, _u1060, _u1058))) )).
% 27.66/27.85 cnf(fact_evalc_Oequations_I10_J-3, axiom, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1067), hAPP(c_Natural_Ogetlocs, _u1065))), _u1059), hAPP(hAPP(c_Natural_Ogetlocs, _u1067), c_Com_ORes)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1052), hAPP(c_Natural_Ogetlocs, _u1065))), _u1059), hAPP(hAPP(c_Natural_Ogetlocs, _u1052), c_Com_ORes))) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1061)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1065), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1063, _u1065))), _u1052)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u1059, _u1061, _u1063)), _u1065), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1067), hAPP(c_Natural_Ogetlocs, _u1065))), _u1059), hAPP(hAPP(c_Natural_Ogetlocs, _u1067), c_Com_ORes)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc__elim__cases_I7_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc__elim__cases_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u1069, _u1070, _u1071)), _u1072), _u1073)) | ( _u1073 = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem19(_u1073, _u1072, _u1071, _u1070, _u1069)), hAPP(c_Natural_Ogetlocs, _u1072))), _u1069), hAPP(hAPP(c_Natural_Ogetlocs, skolem19(_u1073, _u1072, _u1071, _u1070, _u1069)), c_Com_ORes))) )).
% 27.66/27.85 cnf(fact_evalc__elim__cases_I7_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u1069, _u1070, _u1071)), _u1072), _u1073)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1070)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1072), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1071, _u1072))), skolem19(_u1073, _u1072, _u1071, _u1070, _u1069))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln__elim__cases_I7_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln__elim__cases_I7_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u1075, _u1076, _u1077), _u1078, _u1079, _u1080) | ( _u1080 = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem20(_u1080, _u1079, _u1078, _u1077, _u1076, _u1075)), hAPP(c_Natural_Ogetlocs, _u1078))), _u1075), hAPP(hAPP(c_Natural_Ogetlocs, skolem20(_u1080, _u1079, _u1078, _u1077, _u1076, _u1075)), c_Com_ORes))) )).
% 27.66/27.85 cnf(fact_evaln__elim__cases_I7_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u1075, _u1076, _u1077), _u1078, _u1079, _u1080) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1076), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1078), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1077, _u1078)), _u1079, skolem20(_u1080, _u1079, _u1078, _u1077, _u1076, _u1075)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WT__bodiesD ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WT__bodiesD-1, axiom, ( ~c_Com_OWT__bodies | hBOOL(hAPP(c_Com_OWT, _u1082)) | ( hAPP(c_Com_Obody, _u1081) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _u1082)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln__elim__cases_I6_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln__elim__cases_I6_J-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1084), _u1085, _u1086, _u1087) | ( _u1086 = hAPP(c_Nat_OSuc, skolem21(_u1087, _u1086, _u1085, _u1084))) )).
% 27.66/27.85 cnf(fact_evaln__elim__cases_I6_J-2, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1084), _u1085, _u1086, _u1087) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1084)), _u1085, skolem21(_u1087, _u1086, _u1085, _u1084), _u1087) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_option_Osize_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_option_Osize_I1_J-1, axiom, ( ( c_Option_Ooption_Ooption__size(_u1088, _u1089, c_Option_Ooption_ONone(_u1088)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_WTs__elim__cases_I7_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_WTs__elim__cases_I7_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1091))) | ( hAPP(c_Com_Obody, _u1091) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), skolem22(_u1091))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_the_Osimps ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_the_Osimps-1, axiom, ( ( hAPP(c_Option_Othe(_u1092), hAPP(c_Option_Ooption_OSome(_u1092), _u1093)) = _u1093) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_not__None__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_not__None__eq-1, axiom, ( ( _u1098 = c_Option_Ooption_ONone(_u1100)) | ( _u1098 = hAPP(c_Option_Ooption_OSome(_u1100), skolem23(_u1100, _u1098))) )).
% 27.66/27.85 cnf(fact_not__None__eq-2, axiom, ( ( _u1099 != hAPP(c_Option_Ooption_OSome(_u1101), _u1095)) | ( _u1099 != c_Option_Ooption_ONone(_u1101)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_not__Some__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_not__Some__eq-1, axiom, ( ( _u1106 = hAPP(c_Option_Ooption_OSome(_u1108), skolem24(_u1108, _u1106))) | ( _u1106 = c_Option_Ooption_ONone(_u1108)) )).
% 27.66/27.85 cnf(fact_not__Some__eq-2, axiom, ( ( _u1107 != c_Option_Ooption_ONone(_u1109)) | ( _u1107 != hAPP(c_Option_Ooption_OSome(_u1109), _u1103)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_option_Osimps_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_option_Osimps_I3_J-1, axiom, ( ( hAPP(c_Option_Ooption_OSome(_u1110), _u1111) != c_Option_Ooption_ONone(_u1110)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_option_Oinject ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_option_Oinject-1, axiom, ( ( _u1117 = _u1119) | ( hAPP(c_Option_Ooption_OSome(_u1115), _u1117) != hAPP(c_Option_Ooption_OSome(_u1115), _u1119)) )).
% 27.66/27.85 cnf(fact_option_Oinject-2, axiom, ( ( _u1118 != _u1120) | ( hAPP(c_Option_Ooption_OSome(_u1116), _u1118) = hAPP(c_Option_Ooption_OSome(_u1116), _u1120)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_option_Osimps_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_option_Osimps_I2_J-1, axiom, ( ( c_Option_Ooption_ONone(_u1121) != hAPP(c_Option_Ooption_OSome(_u1121), _u1122)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_option_Osize_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_option_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u1123)), hAPP(c_Option_Ooption_OSome(_u1123), _u1124)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_option_Osize_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_option_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u1125)), c_Option_Ooption_ONone(_u1125)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Suc__neq__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u1126) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u1127)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( hAPP(c_Nat_OSuc, _u1128) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Suc__not__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u1129) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u1130)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u1131)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_vname_Osize_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_vname_Osize_I1_J-1, axiom, ( ( c_Com_Ovname_Ovname__size(c_Com_Ovname_OGlb(_u1132)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_vname_Osize_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_vname_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname), c_Com_Ovname_OGlb(_u1133)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_option_Osize_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_option_Osize_I2_J-1, axiom, ( ( c_Option_Ooption_Ooption__size(_u1134, _u1135, hAPP(c_Option_Ooption_OSome(_u1134), _u1136)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1135, _u1136)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u1137) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), _u1138), _u1139)), _u1140) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), _u1138), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), _u1139), _u1140))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1141) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1142), _u1143) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1142), _u1144)) | ( _u1143 = _u1144) )).
% 27.66/27.85 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1141) | ( _u1143 != _u1144) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1142), _u1143) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1142), _u1144)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1145) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1145), _u1146), _u1147) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1145), _u1148), _u1147)) | ( _u1146 = _u1148) )).
% 27.66/27.85 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1145) | ( _u1146 != _u1148) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1145), _u1146), _u1147) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1145), _u1148), _u1147)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1149) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1149), _u1150), _u1151) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1149), _u1150), _u1152)) | ( _u1151 = _u1152) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1153) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1153), _u1154), _u1155) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1153), _u1154), _u1156)) | ( _u1155 = _u1156) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1157) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1157), _u1158), _u1159) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1157), _u1160), _u1159)) | ( _u1158 = _u1160) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat__add__right__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1164), _u1166) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1168), _u1166)) | ( _u1164 = _u1168) )).
% 27.66/27.85 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u1165 != _u1169) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1165), _u1167) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1169), _u1167)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u1175 = _u1177) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1173), _u1175) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1173), _u1177)) )).
% 27.66/27.85 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u1176 != _u1178) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1174), _u1176) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1174), _u1178)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1179), _u1180)), _u1181) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1179), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1180), _u1181))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat__add__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1182), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1183), _u1184)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1183), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1182), _u1184))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat__add__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1185), _u1186) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1186), _u1185)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_vname_Osimps_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_vname_Osimps_I1_J-1, axiom, ( ( c_Com_Ovname_OGlb(_u1189) != c_Com_Ovname_OGlb(_u1191)) | ( _u1189 = _u1191) )).
% 27.66/27.85 cnf(fact_vname_Osimps_I1_J-2, axiom, ( ( _u1190 != _u1192) | ( c_Com_Ovname_OGlb(_u1190) = c_Com_Ovname_OGlb(_u1192)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 27.66/27.85 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)), _u1193) = _u1193) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1194), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1194) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1197), _u1199) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1197 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85 cnf(fact_add__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1197), _u1199) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1199 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85 cnf(fact_add__is__0-3, axiom, ( ( _u1198 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1200 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1198), _u1200) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u1202 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1201), _u1202) != _u1201) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__Suc__shift-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1203)), _u1204) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1203), hAPP(c_Nat_OSuc, _u1204))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1205)), _u1206) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1205), _u1206))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1207), hAPP(c_Nat_OSuc, _u1208)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1207), _u1208))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u1209) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1209), c_Groups_Ozero__class_Ozero(_u1209)), _u1210) = _u1210) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1211) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1211), c_Groups_Ozero__class_Ozero(_u1211)), _u1212) = _u1212) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1213) | ( c_Groups_Ozero__class_Ozero(_u1213) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1213), _u1214), _u1214)) | ( _u1214 = c_Groups_Ozero__class_Ozero(_u1213)) )).
% 27.66/27.85 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1213) | ( _u1214 != c_Groups_Ozero__class_Ozero(_u1213)) | ( c_Groups_Ozero__class_Ozero(_u1213) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1213), _u1214), _u1214)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u1215) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1215), _u1216), c_Groups_Ozero__class_Ozero(_u1215)) = _u1216) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1217) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1217), _u1218), c_Groups_Ozero__class_Ozero(_u1217)) = _u1218) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1221), _u1223)) | ( _u1221 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1221 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85 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), _u1221), _u1223)) | ( _u1221 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1223 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.85 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), _u1221), _u1223)) | ( _u1223 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1221 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85 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), _u1221), _u1223)) | ( _u1223 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1223 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.85 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), _u1222), _u1224)) | ( _u1222 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1224 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85 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), _u1222), _u1224)) | ( _u1222 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1224 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__is__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1227), _u1229) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1227 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85 cnf(fact_add__is__1-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1227), _u1229) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1227 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1229 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.85 cnf(fact_add__is__1-3, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1227), _u1229) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1229 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85 cnf(fact_add__is__1-4, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1227), _u1229) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1229 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1229 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.85 cnf(fact_add__is__1-5, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1228), _u1230) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1228 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1230 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85 cnf(fact_add__is__1-6, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1228), _u1230) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1228 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1230 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_vname_Osimps_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_vname_Osimps_I3_J-1, axiom, ( ( c_Com_Ovname_OGlb(_u1231) != c_Com_Ovname_OLoc(_u1232)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_vname_Osimps_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_vname_Osimps_I4_J-1, axiom, ( ( c_Com_Ovname_OLoc(_u1233) != c_Com_Ovname_OGlb(_u1234)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Suc__inject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u1235) != hAPP(c_Nat_OSuc, _u1236)) | ( _u1235 = _u1236) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat_Oinject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u1239) != hAPP(c_Nat_OSuc, _u1241)) | ( _u1239 = _u1241) )).
% 27.66/27.85 cnf(fact_nat_Oinject-2, axiom, ( ( _u1240 != _u1242) | ( hAPP(c_Nat_OSuc, _u1240) = hAPP(c_Nat_OSuc, _u1242)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Suc__n__not__n-1, axiom, ( ( hAPP(c_Nat_OSuc, _u1243) != _u1243) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u1244 != hAPP(c_Nat_OSuc, _u1244)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat_Osize_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1245)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u1245)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat_Osize_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat_Osize_I2_J-1, axiom, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u1246)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u1246)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_vname_Orecs_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_vname_Orecs_I1_J-1, axiom, ( ( c_Com_Ovname_Ovname__rec(_u1247, _u1248, _u1249, c_Com_Ovname_OGlb(_u1250)) = hAPP(_u1248, _u1250)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_vname_Osimps_I5_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_vname_Osimps_I5_J-1, axiom, ( ( c_Com_Ovname_Ovname__case(_u1251, _u1252, _u1253, c_Com_Ovname_OGlb(_u1254)) = hAPP(_u1252, _u1254)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I14_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I14_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u1255, _u1256)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1256)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I6_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I6_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u1257, _u1258)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u1258)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I13_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I13_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u1259, _u1260, _u1261)) = 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), _u1260)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1261))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I5_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I5_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u1262, _u1263, _u1264)) = 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(_u1263)), c_Com_Ocom_Ocom__size(_u1264))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I11_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I11_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u1265, _u1266, _u1267)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1267)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I3_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u1268, _u1269, _u1270)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u1270)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I12_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I12_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u1271, _u1272)) = 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), _u1271)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1272))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_com_Osize_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_com_Osize_I4_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u1273, _u1274)) = 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(_u1273)), c_Com_Ocom_Ocom__size(_u1274))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1275) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1275), c_Groups_Ozero__class_Ozero(_u1275)), _u1276) = _u1276) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1277) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1277), _u1278), c_Groups_Ozero__class_Ozero(_u1277)) = _u1278) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1279) | ( _u1280 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1279), _u1280), _u1281)) | ( _u1281 = c_Groups_Ozero__class_Ozero(_u1279)) )).
% 27.66/27.85 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1279) | ( _u1281 != c_Groups_Ozero__class_Ozero(_u1279)) | ( _u1280 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1279), _u1280), _u1281)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1282) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1282), _u1283), _u1283) != c_Groups_Ozero__class_Ozero(_u1282)) | ( _u1283 = c_Groups_Ozero__class_Ozero(_u1282)) )).
% 27.66/27.85 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1282) | ( _u1283 != c_Groups_Ozero__class_Ozero(_u1282)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1282), _u1283), _u1283) = c_Groups_Ozero__class_Ozero(_u1282)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_option_Osimps_I5_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_option_Osimps_I5_J-1, axiom, ( ( hAPP(c_Option_Ooption_Ooption__case(_u1284, _u1285, _u1286, _u1287), hAPP(c_Option_Ooption_OSome(_u1285), _u1288)) = hAPP(_u1287, _u1288)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_option_Orecs_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_option_Orecs_I2_J-1, axiom, ( ( c_Option_Ooption_Ooption__rec(_u1289, _u1290, _u1291, _u1292, hAPP(c_Option_Ooption_OSome(_u1290), _u1293)) = hAPP(_u1292, _u1293)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_option_Osimps_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_option_Osimps_I4_J-1, axiom, ( ( hAPP(c_Option_Ooption_Ooption__case(_u1294, _u1295, _u1296, _u1297), c_Option_Ooption_ONone(_u1295)) = _u1296) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_option_Orecs_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_option_Orecs_I1_J-1, axiom, ( ( c_Option_Ooption_Ooption__rec(_u1298, _u1299, _u1300, _u1301, c_Option_Ooption_ONone(_u1299)) = _u1300) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_is__none__code_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_is__none__code_I2_J-1, axiom, ( ~c_Option_Ois__none(_u1302, hAPP(c_Option_Ooption_OSome(_u1302), _u1303)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_is__none__def ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_is__none__def-1, axiom, ( ~c_Option_Ois__none(_u1306, _u1308) | ( _u1308 = c_Option_Ooption_ONone(_u1306)) )).
% 27.66/27.85 cnf(fact_is__none__def-2, axiom, ( ( _u1309 != c_Option_Ooption_ONone(_u1307)) | c_Option_Ois__none(_u1307, _u1309) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_is__none__code_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_is__none__code_I1_J-1, axiom, ( c_Option_Ois__none(_u1310, c_Option_Ooption_ONone(_u1310)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1311) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1311), _u1312), _u1313) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1311), _u1313), _u1312)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1314) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1314), _u1315), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1314), _u1316), _u1317)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1314), _u1316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1314), _u1315), _u1317))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1318) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1318), _u1319), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1318), _u1320), _u1321)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1318), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1318), _u1319), _u1320)), _u1321)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1322) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1322), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1322), _u1323), _u1324)), _u1325) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1322), _u1323), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1322), _u1324), _u1325))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1326) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1326), _u1327), _u1328)), _u1329) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1326), _u1327), _u1329)), _u1328)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1330) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1330), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1330), _u1331), _u1332)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1330), _u1333), _u1334)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1330), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1330), _u1331), _u1333)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1330), _u1332), _u1334))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__nat__aux_Osimps_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__nat__aux_Osimps_I2_J-1, axiom, ( ~class_Rings_Osemiring__1(_u1335) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u1335, _u1336, hAPP(c_Nat_OSuc, _u1337), _u1338) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u1335, _u1336, _u1337, hAPP(_u1336, _u1338))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__nat__aux_Osimps_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__nat__aux_Osimps_I1_J-1, axiom, ( ~class_Rings_Osemiring__1(_u1339) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u1339, _u1340, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1341) = _u1341) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evalc__WHILE__case ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evalc__WHILE__case-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), _u1345), _u1346)) | ( _u1346 = _u1345) | hBOOL(hAPP(_u1343, _u1345)) )).
% 27.66/27.85 cnf(fact_evalc__WHILE__case-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), _u1345), _u1346)) | ( _u1346 = _u1345) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1344), _u1345), skolem25(_u1346, _u1345, _u1344, _u1343))) )).
% 27.66/27.85 cnf(fact_evalc__WHILE__case-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), _u1345), _u1346)) | ( _u1346 = _u1345) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), skolem25(_u1346, _u1345, _u1344, _u1343)), _u1346)) )).
% 27.66/27.85 cnf(fact_evalc__WHILE__case-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), _u1345), _u1346)) | ~hBOOL(hAPP(_u1343, _u1345)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1344), _u1345), skolem25(_u1346, _u1345, _u1344, _u1343))) )).
% 27.66/27.85 cnf(fact_evalc__WHILE__case-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), _u1345), _u1346)) | ~hBOOL(hAPP(_u1343, _u1345)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), skolem25(_u1346, _u1345, _u1344, _u1343)), _u1346)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_evaln__WHILE__case ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_evaln__WHILE__case-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), _u1350, _u1351, _u1352) | ( _u1352 = _u1350) | hBOOL(hAPP(_u1348, _u1350)) )).
% 27.66/27.85 cnf(fact_evaln__WHILE__case-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), _u1350, _u1351, _u1352) | ( _u1352 = _u1350) | c_Natural_Oevaln(_u1349, _u1350, _u1351, skolem26(_u1352, _u1351, _u1350, _u1349, _u1348)) )).
% 27.66/27.85 cnf(fact_evaln__WHILE__case-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), _u1350, _u1351, _u1352) | ( _u1352 = _u1350) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), skolem26(_u1352, _u1351, _u1350, _u1349, _u1348), _u1351, _u1352) )).
% 27.66/27.85 cnf(fact_evaln__WHILE__case-4, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), _u1350, _u1351, _u1352) | ~hBOOL(hAPP(_u1348, _u1350)) | c_Natural_Oevaln(_u1349, _u1350, _u1351, skolem26(_u1352, _u1351, _u1350, _u1349, _u1348)) )).
% 27.66/27.85 cnf(fact_evaln__WHILE__case-5, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), _u1350, _u1351, _u1352) | ~hBOOL(hAPP(_u1348, _u1350)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), skolem26(_u1352, _u1351, _u1350, _u1349, _u1348), _u1351, _u1352) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_pair__box_Osize_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_pair__box_Osize_I1_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__size(_u1353, _u1354, _u1355, _u1356, c_Nitpick_Opair__box_OPairBox(_u1353, _u1354, _u1357, _u1358)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1355, _u1357)), hAPP(_u1356, _u1358))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sum_Osize_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sum_Osize_I2_J-1, axiom, ( ( c_Sum__Type_Osum_Osum__size(_u1359, _u1360, _u1361, _u1362, hAPP(c_Sum__Type_OInr(_u1360, _u1359), _u1363)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1362, _u1363)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sum_Osize_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sum_Osize_I1_J-1, axiom, ( ( c_Sum__Type_Osum_Osum__size(_u1364, _u1365, _u1366, _u1367, hAPP(c_Sum__Type_OInl(_u1364, _u1365), _u1368)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1366, _u1368)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_option_Oexhaust ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_option_Oexhaust-1, axiom, ( ( _u1370 = c_Option_Ooption_ONone(_u1371)) | ( _u1370 = hAPP(c_Option_Ooption_OSome(_u1371), skolem27(_u1371, _u1370))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 27.66/27.85 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, _u1372))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat_Oexhaust ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat_Oexhaust-1, axiom, ( ( _u1374 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1374 = hAPP(c_Nat_OSuc, skolem28(_u1374))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zero__induct ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zero__induct-1, axiom, ( ~hBOOL(hAPP(_u1376, _u1377)) | hBOOL(hAPP(_u1376, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u1376, hAPP(c_Nat_OSuc, skolem29(_u1377, _u1376)))) )).
% 27.66/27.85 cnf(fact_zero__induct-2, axiom, ( ~hBOOL(hAPP(_u1376, _u1377)) | hBOOL(hAPP(_u1376, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1376, skolem29(_u1377, _u1376))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__zeroE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1378), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Suc__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1379), _u1380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1379)), hAPP(c_Nat_OSuc, _u1380))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_lessI ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_lessI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1381), hAPP(c_Nat_OSuc, _u1381))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_pair__box_Oinject ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_pair__box_Oinject-1, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u1388, _u1390, _u1392, _u1394) != c_Nitpick_Opair__box_OPairBox(_u1388, _u1390, _u1396, _u1398)) | ( _u1392 = _u1396) )).
% 27.66/27.85 cnf(fact_pair__box_Oinject-2, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u1388, _u1390, _u1392, _u1394) != c_Nitpick_Opair__box_OPairBox(_u1388, _u1390, _u1396, _u1398)) | ( _u1394 = _u1398) )).
% 27.66/27.85 cnf(fact_pair__box_Oinject-3, axiom, ( ( _u1393 != _u1397) | ( _u1395 != _u1399) | ( c_Nitpick_Opair__box_OPairBox(_u1389, _u1391, _u1393, _u1395) = c_Nitpick_Opair__box_OPairBox(_u1389, _u1391, _u1397, _u1399)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__not__refl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1400), _u1400)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat__neq__iff-1, axiom, ( ( _u1403 = _u1405) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1403), _u1405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1405), _u1403)) )).
% 27.66/27.85 cnf(fact_nat__neq__iff-2, axiom, ( ( _u1404 != _u1406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1404), _u1406)) )).
% 27.66/27.85 cnf(fact_nat__neq__iff-3, axiom, ( ( _u1404 != _u1406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1406), _u1404)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u1407 = _u1408) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1407), _u1408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1408), _u1407)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__irrefl__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1409), _u1409)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__not__refl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1410), _u1411)) | ( _u1411 != _u1410) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__not__refl3-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1412), _u1413)) | ( _u1412 != _u1413) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat__less__cases-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1414), _u1415)) | ( _u1414 = _u1415) | hBOOL(hAPP(hAPP(_u1416, _u1415), _u1414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1415), _u1414)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1418), _u1419)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1420), _u1419))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1417), _u1418), _u1420)) )).
% 27.66/27.85 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1417), _u1418), _u1420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1418), _u1419)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1420), _u1419))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1422), _u1423)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1422), _u1424))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1421), _u1423), _u1424)) )).
% 27.66/27.85 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1421), _u1423), _u1424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1422), _u1423)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1422), _u1424))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1425), _u1426), _u1427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1425), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1425), _u1426), _u1428)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1425), _u1427), _u1428))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1429) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1429), _u1430), _u1431)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1429), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1429), _u1432), _u1430)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1429), _u1432), _u1431))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1433), _u1434), _u1435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1433), _u1436), _u1437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1433), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1433), _u1434), _u1436)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1433), _u1435), _u1437))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1438), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1438), _u1439), _u1440)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1438), _u1441), _u1440))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1438), _u1439), _u1441)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1442), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1442), _u1443), _u1444)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1442), _u1443), _u1445))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1442), _u1444), _u1445)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_not__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1446), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_neq0__conv-1, axiom, ( ( _u1448 = 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)), _u1448)) )).
% 27.66/27.85 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)), _u1449)) | ( _u1449 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__nat__zero__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1450), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_gr__implies__not0-1, axiom, ( ( _u1452 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1451), _u1452)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_gr0I-1, axiom, ( ( _u1453 = 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)), _u1453)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Suc__less__SucD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1454)), hAPP(c_Nat_OSuc, _u1455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1454), _u1455)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 27.66/27.85 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)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1458), hAPP(c_Nat_OSuc, _u1459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1458), _u1459)) | ( _u1458 = _u1459) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__trans__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1460), _u1461)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1461), _u1462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1460)), _u1462)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Suc__lessI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1463), _u1464)) | ( hAPP(c_Nat_OSuc, _u1463) = _u1464) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1463)), _u1464)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1465), _u1466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1465), hAPP(c_Nat_OSuc, _u1466))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__antisym-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), _u1467), hAPP(c_Nat_OSuc, _u1468))) | ( _u1468 = _u1467) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_not__less__less__Suc__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1469), _u1470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1469), hAPP(c_Nat_OSuc, _u1470))) | ( _u1469 = _u1470) )).
% 27.66/27.85 cnf(fact_not__less__less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1469), _u1470)) | ( _u1469 != _u1470) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1469), hAPP(c_Nat_OSuc, _u1470))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Suc__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1473)), hAPP(c_Nat_OSuc, _u1475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1473), _u1475)) )).
% 27.66/27.85 cnf(fact_Suc__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1474), _u1476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1474)), hAPP(c_Nat_OSuc, _u1476))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1479), hAPP(c_Nat_OSuc, _u1481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1479), _u1481)) | ( _u1479 = _u1481) )).
% 27.66/27.85 cnf(fact_less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1480), hAPP(c_Nat_OSuc, _u1482))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1480), _u1482)) )).
% 27.66/27.85 cnf(fact_less__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1480), hAPP(c_Nat_OSuc, _u1482))) | ( _u1480 != _u1482) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_not__less__eq-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), _u1487), hAPP(c_Nat_OSuc, _u1485))) )).
% 27.66/27.85 cnf(fact_not__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1488), hAPP(c_Nat_OSuc, _u1486))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1486), _u1488)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1489), _u1490)), _u1491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1489), _u1491)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__add__eq__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1492), _u1493)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1494), _u1493) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1492), _u1495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1494), _u1495)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1496), _u1497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1498), _u1499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1496), _u1498)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1497), _u1499))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1500), _u1501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1500), _u1502)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1501), _u1502))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_trans__less__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1503), _u1504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1503), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1505), _u1504))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_trans__less__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1506), _u1507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1506), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1507), _u1508))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat__add__left__cancel__less-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1514), _u1516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1512), _u1514)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1512), _u1516))) )).
% 27.66/27.85 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1515), _u1517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1513), _u1515)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1513), _u1517))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1518), _u1519)), _u1519)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1520), _u1521)), _u1520)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1522), _u1523), c_Groups_Ozero__class_Ozero(_u1522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1522), _u1524), c_Groups_Ozero__class_Ozero(_u1522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1522), _u1523), _u1524)), c_Groups_Ozero__class_Ozero(_u1522))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1525), c_Groups_Ozero__class_Ozero(_u1525)), _u1526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1525), c_Groups_Ozero__class_Ozero(_u1525)), _u1527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1525), c_Groups_Ozero__class_Ozero(_u1525)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1525), _u1526), _u1527))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1528), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1528), _u1529), _u1529)), c_Groups_Ozero__class_Ozero(_u1528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1528), _u1529), c_Groups_Ozero__class_Ozero(_u1528))) )).
% 27.66/27.85 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1528), _u1529), c_Groups_Ozero__class_Ozero(_u1528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1528), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1528), _u1529), _u1529)), c_Groups_Ozero__class_Ozero(_u1528))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1530) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), c_Groups_Ozero__class_Ozero(_u1530)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1530), _u1531), _u1531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), c_Groups_Ozero__class_Ozero(_u1530)), _u1531)) )).
% 27.66/27.85 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1530) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), c_Groups_Ozero__class_Ozero(_u1530)), _u1531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), c_Groups_Ozero__class_Ozero(_u1530)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1530), _u1531), _u1531))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1532), _u1533), _u1533)), c_Groups_Ozero__class_Ozero(_u1532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), _u1533), c_Groups_Ozero__class_Ozero(_u1532))) )).
% 27.66/27.85 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), _u1533), c_Groups_Ozero__class_Ozero(_u1532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1532), _u1533), _u1533)), c_Groups_Ozero__class_Ozero(_u1532))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 27.66/27.85 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)), _u1537)) | ( _u1537 = hAPP(c_Nat_OSuc, skolem30(_u1537))) )).
% 27.66/27.85 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u1538 != hAPP(c_Nat_OSuc, _u1535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1538)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__Suc0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1540), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u1540 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85 cnf(fact_less__Suc0-2, axiom, ( ( _u1541 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1541), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1546), hAPP(c_Nat_OSuc, _u1548))) | ( _u1546 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1546 = hAPP(c_Nat_OSuc, skolem31(_u1548, _u1546))) )).
% 27.66/27.85 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1546), hAPP(c_Nat_OSuc, _u1548))) | ( _u1546 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem31(_u1548, _u1546)), _u1548)) )).
% 27.66/27.85 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1547), hAPP(c_Nat_OSuc, _u1549))) | ( _u1547 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1547), hAPP(c_Nat_OSuc, _u1549))) | ( _u1547 != hAPP(c_Nat_OSuc, _u1543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1543), _u1549)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1552), _u1554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1554)) )).
% 27.66/27.85 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), _u1553), _u1555))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1553)) )).
% 27.66/27.85 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), _u1553), _u1555))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1555)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__add__Suc1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1556), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1556), _u1557)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__add__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1558), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1559), _u1558)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__iff__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1564), _u1566)) | ( _u1566 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1564), skolem32(_u1566, _u1564)))) )).
% 27.66/27.85 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u1567 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1565), _u1561))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1565), _u1567)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_pair__box_Osize_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_pair__box_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u1568, _u1569)), c_Nitpick_Opair__box_OPairBox(_u1568, _u1569, _u1570, _u1571)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_pair__box_Osimps_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_pair__box_Osimps_I2_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__case(_u1572, _u1573, _u1574, _u1575, c_Nitpick_Opair__box_OPairBox(_u1572, _u1573, _u1576, _u1577)) = hAPP(hAPP(_u1575, _u1576), _u1577)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_pair__box_Orecs ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_pair__box_Orecs-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u1578, _u1579, _u1580, _u1581, c_Nitpick_Opair__box_OPairBox(_u1578, _u1579, _u1582, _u1583)) = hAPP(hAPP(_u1581, _u1582), _u1583)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1584), c_Groups_Ozero__class_Ozero(_u1584)), _u1585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1584), _u1586), _u1587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1584), _u1586), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1584), _u1585), _u1587))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sum_Osimps_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sum_Osimps_I4_J-1, axiom, ( ( hAPP(c_Sum__Type_OInr(_u1588, _u1589), _u1590) != hAPP(c_Sum__Type_OInl(_u1589, _u1588), _u1591)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Inr__not__Inl ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Inr__not__Inl-1, axiom, ( ( hAPP(c_Sum__Type_OInr(_u1592, _u1593), _u1594) != hAPP(c_Sum__Type_OInl(_u1593, _u1592), _u1595)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sum_Osimps_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sum_Osimps_I3_J-1, axiom, ( ( hAPP(c_Sum__Type_OInl(_u1596, _u1597), _u1598) != hAPP(c_Sum__Type_OInr(_u1597, _u1596), _u1599)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Inl__not__Inr ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Inl__not__Inr-1, axiom, ( ( hAPP(c_Sum__Type_OInl(_u1600, _u1601), _u1602) != hAPP(c_Sum__Type_OInr(_u1601, _u1600), _u1603)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sum_Osize_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sum_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_sum(_u1604, _u1605)), hAPP(c_Sum__Type_OInl(_u1604, _u1605), _u1606)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sum_Osize_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sum_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_sum(_u1607, _u1608)), hAPP(c_Sum__Type_OInr(_u1608, _u1607), _u1609)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1610), _u1611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1610), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1612), _u1611))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u1613) | ( _u1614 = _u1615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1613), _u1614), _u1615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1613), _u1615), _u1614)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sum_Osimps_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sum_Osimps_I2_J-1, axiom, ( ( _u1624 = _u1626) | ( hAPP(c_Sum__Type_OInr(_u1620, _u1622), _u1624) != hAPP(c_Sum__Type_OInr(_u1620, _u1622), _u1626)) )).
% 27.66/27.85 cnf(fact_sum_Osimps_I2_J-2, axiom, ( ( _u1625 != _u1627) | ( hAPP(c_Sum__Type_OInr(_u1621, _u1623), _u1625) = hAPP(c_Sum__Type_OInr(_u1621, _u1623), _u1627)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Inr__inject ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Inr__inject-1, axiom, ( ( _u1630 = _u1631) | ( hAPP(c_Sum__Type_OInr(_u1628, _u1629), _u1630) != hAPP(c_Sum__Type_OInr(_u1628, _u1629), _u1631)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sum_Osimps_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sum_Osimps_I1_J-1, axiom, ( ( _u1640 = _u1642) | ( hAPP(c_Sum__Type_OInl(_u1636, _u1638), _u1640) != hAPP(c_Sum__Type_OInl(_u1636, _u1638), _u1642)) )).
% 27.66/27.85 cnf(fact_sum_Osimps_I1_J-2, axiom, ( ( _u1641 != _u1643) | ( hAPP(c_Sum__Type_OInl(_u1637, _u1639), _u1641) = hAPP(c_Sum__Type_OInl(_u1637, _u1639), _u1643)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Inl__inject ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Inl__inject-1, axiom, ( ( _u1646 = _u1647) | ( hAPP(c_Sum__Type_OInl(_u1644, _u1645), _u1646) != hAPP(c_Sum__Type_OInl(_u1644, _u1645), _u1647)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1648), _u1649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1648), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1649), _u1650))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Projl_Osimps ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Projl_Osimps-1, axiom, ( ( c_Sum__Type_OProjl(_u1651, _u1652, hAPP(c_Sum__Type_OInl(_u1651, _u1652), _u1653)) = _u1653) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Projr_Osimps ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Projr_Osimps-1, axiom, ( ( c_Sum__Type_OProjr(_u1654, _u1655, hAPP(c_Sum__Type_OInr(_u1655, _u1654), _u1656)) = _u1656) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sum_Orecs_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sum_Orecs_I1_J-1, axiom, ( ( c_Sum__Type_Osum_Osum__rec(_u1657, _u1658, _u1659, _u1660, _u1661, hAPP(c_Sum__Type_OInl(_u1657, _u1659), _u1662)) = hAPP(_u1660, _u1662)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sum_Orecs_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sum_Orecs_I2_J-1, axiom, ( ( c_Sum__Type_Osum_Osum__rec(_u1663, _u1664, _u1665, _u1666, _u1667, hAPP(c_Sum__Type_OInr(_u1665, _u1663), _u1668)) = hAPP(_u1667, _u1668)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Suml_Osimps ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Suml_Osimps-1, axiom, ( ( hAPP(c_Sum__Type_OSuml(_u1669, _u1670, _u1671, _u1672), hAPP(c_Sum__Type_OInl(_u1669, _u1671), _u1673)) = hAPP(_u1672, _u1673)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Sumr_Osimps ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Sumr_Osimps-1, axiom, ( ( hAPP(c_Sum__Type_OSumr(_u1674, _u1675, _u1676, _u1677), hAPP(c_Sum__Type_OInr(_u1674, _u1676), _u1678)) = hAPP(_u1677, _u1678)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__nat__0__less__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__nat__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1679), c_Groups_Ozero__class_Ozero(_u1679)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1679), _u1680))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1680)) )).
% 27.66/27.85 cnf(fact_of__nat__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u1679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1680)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1679), c_Groups_Ozero__class_Ozero(_u1679)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1679), _u1680))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__imp__Suc__add ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__imp__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1682), _u1683)) | ( _u1683 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1682), skolem33(_u1683, _u1682)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__imp__add__positive ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__imp__add__positive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1685), _u1686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem34(_u1686, _u1685))) )).
% 27.66/27.85 cnf(fact_less__imp__add__positive-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1685), _u1686)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1685), skolem34(_u1686, _u1685)) = _u1686) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_gr0__implies__Suc ( axiom ) converted to clauses:
% 27.66/27.85 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)), _u1688)) | ( _u1688 = hAPP(c_Nat_OSuc, skolem35(_u1688))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__nat__eq__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__nat__eq__iff-1, axiom, ( ~class_Nat_Osemiring__char__0(_u1689) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1689), _u1690) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1689), _u1691)) | ( _u1690 = _u1691) )).
% 27.66/27.85 cnf(fact_of__nat__eq__iff-2, axiom, ( ~class_Nat_Osemiring__char__0(_u1689) | ( _u1690 != _u1691) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1689), _u1690) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1689), _u1691)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Sumr__inject ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Sumr__inject-1, axiom, ( ( _u1695 = _u1696) | ( c_Sum__Type_OSumr(_u1692, _u1693, _u1694, _u1695) != c_Sum__Type_OSumr(_u1692, _u1693, _u1694, _u1696)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Suml__inject ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Suml__inject-1, axiom, ( ( _u1700 = _u1701) | ( c_Sum__Type_OSuml(_u1697, _u1698, _u1699, _u1700) != c_Sum__Type_OSuml(_u1697, _u1698, _u1699, _u1701)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_int__eq__0__conv ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_int__eq__0__conv-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1703) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u1703 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85 cnf(fact_int__eq__0__conv-2, axiom, ( ( _u1704 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1704) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_int__0 ( axiom ) converted to clauses:
% 27.66/27.85 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)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zless__iff__Suc__zadd ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zless__iff__Suc__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1709), _u1711)) | ( _u1711 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1709), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem36(_u1711, _u1709))))) )).
% 27.66/27.85 cnf(fact_zless__iff__Suc__zadd-2, axiom, ( ( _u1712 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1710), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1706)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1710), _u1712)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zless__int ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1715)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1715), _u1717)) )).
% 27.66/27.85 cnf(fact_zless__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1716), _u1718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1716)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1718))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zadd__int ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1719)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1720)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1719), _u1720))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zadd__int__left ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1721)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1722)), _u1723)) = 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), _u1721), _u1722))), _u1723)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zero__less__int__conv ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1725)) )).
% 27.66/27.85 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)), _u1726)) | 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), _u1726))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__nat__less__0__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__nat__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1727), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1727), _u1728)), c_Groups_Ozero__class_Ozero(_u1727))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__nat__0 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__nat__0-1, axiom, ( ~class_Rings_Osemiring__1(_u1729) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1729), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u1729)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__nat__less__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__nat__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1730), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1730), _u1731)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1730), _u1732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1731), _u1732)) )).
% 27.66/27.85 cnf(fact_of__nat__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u1730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1731), _u1732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1730), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1730), _u1731)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1730), _u1732))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__imp__of__nat__less ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__imp__of__nat__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1734), _u1735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1733), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1733), _u1734)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1733), _u1735))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__nat__less__imp__less ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__nat__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1736), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1736), _u1737)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1736), _u1738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1737), _u1738)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__nat__add ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__nat__add-1, axiom, ( ~class_Rings_Osemiring__1(_u1739) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1739), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1740), _u1741)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1739), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1739), _u1740)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1739), _u1741))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_lift__Suc__mono__less ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_lift__Suc__mono__less-1, axiom, ( ~class_Orderings_Oorder(_u1743) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1743), hAPP(_u1744, skolem37(_u1746, _u1745, _u1744, _u1743))), hAPP(_u1744, hAPP(c_Nat_OSuc, skolem37(_u1746, _u1745, _u1744, _u1743))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1745), _u1746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1743), hAPP(_u1744, _u1745)), hAPP(_u1744, _u1746))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_lift__Suc__mono__less__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_lift__Suc__mono__less__iff-1, axiom, ( ~class_Orderings_Oorder(_u1748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), hAPP(_u1749, skolem38(_u1751, _u1750, _u1749, _u1748))), hAPP(_u1749, hAPP(c_Nat_OSuc, skolem38(_u1751, _u1750, _u1749, _u1748))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), hAPP(_u1749, _u1750)), hAPP(_u1749, _u1751))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1750), _u1751)) )).
% 27.66/27.85 cnf(fact_lift__Suc__mono__less__iff-2, axiom, ( ~class_Orderings_Oorder(_u1748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), hAPP(_u1749, skolem38(_u1751, _u1750, _u1749, _u1748))), hAPP(_u1749, hAPP(c_Nat_OSuc, skolem38(_u1751, _u1750, _u1749, _u1748))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1750), _u1751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), hAPP(_u1749, _u1750)), hAPP(_u1749, _u1751))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1752)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1753)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1752), _u1753))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_transfer__int__nat__relations_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1756)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1758))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1756), _u1758)) )).
% 27.66/27.85 cnf(fact_transfer__int__nat__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1757), _u1759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1757)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1759))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_transfer__int__nat__numerals_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 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))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u1760) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1760), _u1761), _u1762)) | ( _u1761 = _u1762) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1760), _u1762), _u1761)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u1763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1763), _u1764), _u1765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1763), _u1765), _u1764)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u1766) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1766), _u1767), _u1768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1766), _u1769), _u1767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1766), _u1769), _u1768)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1770) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1770), _u1771), _u1772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1770), _u1772), _u1773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1770), _u1771), _u1773)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u1774) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1774), _u1775), _u1776)) | ( _u1775 != _u1777) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1774), _u1777), _u1776)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_int__less__0__conv ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1778)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_int__int__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_int__int__eq-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1781) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1783)) | ( _u1781 = _u1783) )).
% 27.66/27.85 cnf(fact_int__int__eq-2, axiom, ( ( _u1782 != _u1784) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1782) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1784)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_transfer__int__nat__relations_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_transfer__int__nat__relations_I1_J-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1787) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1789)) | ( _u1787 = _u1789) )).
% 27.66/27.85 cnf(fact_transfer__int__nat__relations_I1_J-2, axiom, ( ( _u1788 != _u1790) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1788) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1790)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zadd__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1791), _u1792) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1792), _u1791)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zadd__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1793), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1794), _u1795)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1794), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1793), _u1795))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1796), _u1797)), _u1798) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1796), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1797), _u1798))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1799), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u1799) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1800) = _u1800) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zless__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1801), _u1802)) | ( _u1801 = _u1802) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1802), _u1801)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1803), _u1804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1803), _u1805)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1804), _u1805))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u1806) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1806), _u1807), _u1807)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u1808) | ( _u1809 = _u1810) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1808), _u1809), _u1810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1808), _u1810), _u1809)) )).
% 27.66/27.85 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u1808) | ( _u1809 != _u1810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1808), _u1809), _u1810)) )).
% 27.66/27.85 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u1808) | ( _u1809 != _u1810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1808), _u1810), _u1809)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u1811) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1812), _u1813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1813), _u1812)) | ( _u1812 = _u1813) )).
% 27.66/27.85 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1812), _u1813)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1813), _u1812)) )).
% 27.66/27.85 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1812), _u1813)) | ( _u1812 != _u1813) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1814), _u1815), _u1816)) | ( _u1815 = _u1816) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1814), _u1816), _u1815)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u1817) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1817), _u1818), _u1819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1817), _u1819), _u1818)) | ( _u1819 = _u1818) )).
% 27.66/27.85 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u1817) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1817), _u1818), _u1819)) | ( _u1819 != _u1818) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1817), _u1819), _u1818)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u1820) | ( _u1821 = _u1822) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1820), _u1821), _u1822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1820), _u1822), _u1821)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u1823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1823), _u1824), _u1825)) | ( _u1824 != _u1825) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u1826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1826), _u1827), _u1828)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1826), _u1828), _u1827)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u1829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1829), _u1830), _u1831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1829), _u1831), _u1830)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u1832) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1832), _u1833), _u1834)) | ( _u1833 != _u1834) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u1835) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1835), _u1836), _u1837)) | ( _u1837 != _u1836) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u1838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1838), _u1839), _u1840)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1838), _u1840), _u1839)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u1841) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), _u1842), _u1843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), _u1843), _u1842)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u1844) | ( _u1845 != _u1846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1844), _u1846), _u1847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1844), _u1845), _u1847)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u1848) | ( _u1849 != _u1850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1848), _u1851), _u1850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1848), _u1851), _u1849)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u1852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1852), _u1853), _u1854)) | ( _u1854 != _u1855) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1852), _u1853), _u1855)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zero__less__imp__eq__int ( axiom ) converted to clauses:
% 27.66/27.85 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)), _u1857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem39(_u1857))) )).
% 27.66/27.85 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)), _u1857)) | ( _u1857 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem39(_u1857))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__0__less__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__int__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1858), c_Groups_Ozero__class_Ozero(_u1858)), hAPP(c_Int_Oring__1__class_Oof__int(_u1858), _u1859))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1859)) )).
% 27.66/27.85 cnf(fact_of__int__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1858), c_Groups_Ozero__class_Ozero(_u1858)), hAPP(c_Int_Oring__1__class_Oof__int(_u1858), _u1859))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__less__0__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__int__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1860), hAPP(c_Int_Oring__1__class_Oof__int(_u1860), _u1861)), c_Groups_Ozero__class_Ozero(_u1860))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1861), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.85 cnf(fact_of__int__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1861), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1860), hAPP(c_Int_Oring__1__class_Oof__int(_u1860), _u1861)), c_Groups_Ozero__class_Ozero(_u1860))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zmult__zless__mono2__lemma ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zmult__zless__mono2__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1862), _u1863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1864)) | 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), _u1864)), _u1862)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1864)), _u1863))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_negative__zless__0 ( axiom ) converted to clauses:
% 27.66/27.85 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, _u1865)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_split__nat ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_split__nat-1, axiom, ( ~hBOOL(hAPP(_u1870, hAPP(c_Int_Onat, _u1872))) | ( _u1872 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1866)) | hBOOL(hAPP(_u1870, _u1866)) )).
% 27.66/27.85 cnf(fact_split__nat-2, axiom, ( ~hBOOL(hAPP(_u1870, hAPP(c_Int_Onat, _u1872))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1872), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u1870, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.85 cnf(fact_split__nat-3, axiom, ( hBOOL(hAPP(_u1871, hAPP(c_Int_Onat, _u1873))) | ( _u1873 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem40(_u1873, _u1871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1873), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.85 cnf(fact_split__nat-4, axiom, ( hBOOL(hAPP(_u1871, hAPP(c_Int_Onat, _u1873))) | ( _u1873 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem40(_u1873, _u1871))) | ~hBOOL(hAPP(_u1871, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.85 cnf(fact_split__nat-5, axiom, ( hBOOL(hAPP(_u1871, hAPP(c_Int_Onat, _u1873))) | ~hBOOL(hAPP(_u1871, skolem40(_u1873, _u1871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1873), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.85 cnf(fact_split__nat-6, axiom, ( hBOOL(hAPP(_u1871, hAPP(c_Int_Onat, _u1873))) | ~hBOOL(hAPP(_u1871, skolem40(_u1873, _u1871))) | ~hBOOL(hAPP(_u1871, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zero__less__nat__eq ( axiom ) converted to clauses:
% 27.66/27.85 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, _u1875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1875)) )).
% 27.66/27.85 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)), _u1876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u1876))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_negative__zless ( axiom ) converted to clauses:
% 27.66/27.85 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, _u1877)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1878))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_int__Suc ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_int__Suc-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1879)) = 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), _u1879))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 27.66/27.85 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)), _u1881)), _u1881)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1881), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.85 cnf(fact_odd__less__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1882), 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)), _u1882)), _u1882)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1883) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1883), _u1884), _u1884) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1883), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1883), c_Groups_Oone__class_Oone(_u1883)), c_Groups_Oone__class_Oone(_u1883))), _u1884)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1885) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1885), _u1886), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1885), _u1887), _u1886)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1885), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1885), _u1887), c_Groups_Oone__class_Oone(_u1885))), _u1886)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1888) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1888), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), _u1889), _u1890)), _u1890) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1888), _u1889), c_Groups_Oone__class_Oone(_u1888))), _u1890)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1891) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1891), c_Groups_Oone__class_Oone(_u1891)), _u1892)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1891), c_Groups_Oone__class_Oone(_u1891)), _u1893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1891), c_Groups_Oone__class_Oone(_u1891)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1891), _u1892), _u1893))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u1894) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1894), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1894), _u1895), _u1896)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1894), _u1895), hAPP(c_Groups_Ouminus__class_Ouminus(_u1894), _u1896))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u1897) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1897), _u1898), _u1899)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1897), hAPP(c_Groups_Ouminus__class_Ouminus(_u1897), _u1898)), _u1899)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u1900) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1900), hAPP(c_Groups_Ouminus__class_Ouminus(_u1900), _u1901)), _u1902) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1900), _u1901), hAPP(c_Groups_Ouminus__class_Ouminus(_u1900), _u1902))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u1903) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1903), hAPP(c_Groups_Ouminus__class_Ouminus(_u1903), _u1904)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1903), _u1905)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1903), _u1904), _u1905)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1906) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1906), _u1907), _u1907) != c_Groups_Oone__class_Oone(_u1906)) | ( _u1907 = c_Groups_Oone__class_Oone(_u1906)) | ( _u1907 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1906), c_Groups_Oone__class_Oone(_u1906))) )).
% 27.66/27.85 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1906) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1906), _u1907), _u1907) = c_Groups_Oone__class_Oone(_u1906)) | ( _u1907 != c_Groups_Oone__class_Oone(_u1906)) )).
% 27.66/27.85 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1906) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1906), _u1907), _u1907) = c_Groups_Oone__class_Oone(_u1906)) | ( _u1907 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1906), c_Groups_Oone__class_Oone(_u1906))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u1908) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1908), _u1909), _u1909) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1908), _u1910), _u1910)) | ( _u1909 = _u1910) | ( _u1909 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1908), _u1910)) )).
% 27.66/27.85 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u1908) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1908), _u1909), _u1909) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1908), _u1910), _u1910)) | ( _u1909 != _u1910) )).
% 27.66/27.85 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u1908) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1908), _u1909), _u1909) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1908), _u1910), _u1910)) | ( _u1909 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1908), _u1910)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__1 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__int__1-1, axiom, ( ~class_Rings_Oring__1(_u1911) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1911), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u1911)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u1912) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1912), _u1913) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1912), hAPP(c_Groups_Ouminus__class_Ouminus(_u1912), c_Groups_Oone__class_Oone(_u1912))), _u1913)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zminus__zminus-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1914)) = _u1914) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__minus ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__int__minus-1, axiom, ( ~class_Rings_Oring__1(_u1915) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1915), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1916)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1915), hAPP(c_Int_Oring__1__class_Oof__int(_u1915), _u1916))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__mult ( axiom ) converted to clauses:
% 27.66/27.85 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))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1920) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1920), c_Groups_Oone__class_Oone(_u1920)), _u1921) = _u1921) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1922) = _u1922) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1923) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1923), _u1924), c_Groups_Oone__class_Oone(_u1923)) = _u1924) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1925), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u1925) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1926) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), _u1927), _u1928) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), _u1928), _u1927)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1929), _u1930) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1930), _u1929)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1931) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1931), _u1932), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1931), _u1933), _u1934)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1931), _u1933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1931), _u1932), _u1934))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1935) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1935), _u1936), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1935), _u1937), _u1938)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1935), _u1936), _u1937)), _u1938)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1939)), _u1940) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1939), _u1940))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__eq__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__int__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u1941) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1941), _u1942) != hAPP(c_Int_Oring__1__class_Oof__int(_u1941), _u1943)) | ( _u1942 = _u1943) )).
% 27.66/27.85 cnf(fact_of__int__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u1941) | ( _u1942 != _u1943) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1941), _u1942) = hAPP(c_Int_Oring__1__class_Oof__int(_u1941), _u1943)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1944) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1944), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1944), _u1945), _u1946)), _u1947) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1944), _u1945), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1944), _u1946), _u1947))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 27.66/27.85 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), _u1948), _u1949)), _u1950) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1948), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1949), _u1950))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1951) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1951), _u1952), _u1953)), _u1954) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1951), _u1952), _u1954)), _u1953)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1955) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1956), _u1957)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1958), _u1959)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1958), _u1959)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1960) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1961), _u1962)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1963), _u1964)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1961), _u1962)), _u1964))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1965) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1966), _u1967)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1968), _u1969)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1966), _u1968)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1967), _u1969))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1970) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1970), hAPP(c_Groups_Ouminus__class_Ouminus(_u1970), _u1971)) = _u1971) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u1972) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1972), c_Groups_Oone__class_Oone(_u1972)), _u1973) = _u1973) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1974) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1974), c_Groups_Oone__class_Oone(_u1974)), _u1975) = _u1975) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u1976) | ( c_Groups_Oone__class_Oone(_u1976) != _u1977) | ( _u1977 = c_Groups_Oone__class_Oone(_u1976)) )).
% 27.66/27.85 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u1976) | ( _u1977 != c_Groups_Oone__class_Oone(_u1976)) | ( c_Groups_Oone__class_Oone(_u1976) = _u1977) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u1978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1978), _u1979), c_Groups_Oone__class_Oone(_u1978)) = _u1979) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1980) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1980), _u1981), c_Groups_Oone__class_Oone(_u1980)) = _u1981) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1982) | ( _u1983 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1982), _u1984)) | ( _u1984 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1982), _u1983)) )).
% 27.66/27.85 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1982) | ( _u1984 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1982), _u1983)) | ( _u1983 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1982), _u1984)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1985) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1985), _u1986) != _u1987) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1985), _u1987) = _u1986) )).
% 27.66/27.85 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1985) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1985), _u1987) != _u1986) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1985), _u1986) = _u1987) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1988) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1988), _u1989) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1988), _u1990)) | ( _u1989 = _u1990) )).
% 27.66/27.85 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1988) | ( _u1989 != _u1990) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1988), _u1989) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1988), _u1990)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1991) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1993)), _u1994) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1994))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__nat__mult ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__nat__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u1995) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1995), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1996), _u1997)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1995), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1995), _u1996)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1995), _u1997))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__nat__1 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__nat__1-1, axiom, ( ~class_Rings_Osemiring__1(_u1998) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1998), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u1998)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__of__nat ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__int__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u1999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2000), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1999), _u2000) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1999), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1999), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2000))))) )).
% 27.66/27.85 cnf(fact_of__int__of__nat-2, axiom, ( ~class_Rings_Oring__1(_u1999) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2000), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1999), _u2000) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1999), hAPP(c_Int_Onat, _u2000))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__zminus__int ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2001))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__1 ( axiom ) converted to clauses:
% 27.66/27.85 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))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 27.66/27.85 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)), _u2002)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2002), _u2003) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2002 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.66/27.85 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)), _u2002)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2002), _u2003) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2003 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.66/27.85 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)), _u2002)) | ( _u2002 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2003 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2002), _u2003) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u2004) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2004), c_Groups_Ozero__class_Ozero(_u2004)) = c_Groups_Ozero__class_Ozero(_u2004)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u2005) | ( c_Groups_Ozero__class_Ozero(_u2005) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2005), _u2006)) | ( c_Groups_Ozero__class_Ozero(_u2005) = _u2006) )).
% 27.66/27.85 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u2005) | ( c_Groups_Ozero__class_Ozero(_u2005) != _u2006) | ( c_Groups_Ozero__class_Ozero(_u2005) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2005), _u2006)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2007) | ( _u2008 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2007), _u2008)) | ( _u2008 = c_Groups_Ozero__class_Ozero(_u2007)) )).
% 27.66/27.85 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2007) | ( _u2008 != c_Groups_Ozero__class_Ozero(_u2007)) | ( _u2008 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2007), _u2008)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u2009) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2009), _u2010) != c_Groups_Ozero__class_Ozero(_u2009)) | ( _u2010 = c_Groups_Ozero__class_Ozero(_u2009)) )).
% 27.66/27.85 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u2009) | ( _u2010 != c_Groups_Ozero__class_Ozero(_u2009)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2009), _u2010) = c_Groups_Ozero__class_Ozero(_u2009)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2011) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2011), _u2012) != _u2012) | ( _u2012 = c_Groups_Ozero__class_Ozero(_u2011)) )).
% 27.66/27.85 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2011) | ( _u2012 != c_Groups_Ozero__class_Ozero(_u2011)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2011), _u2012) = _u2012) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2013) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2013), _u2014), hAPP(c_Groups_Ouminus__class_Ouminus(_u2013), _u2015))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2013), _u2015), hAPP(c_Groups_Ouminus__class_Ouminus(_u2013), _u2014))) )).
% 27.66/27.85 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2013) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2013), _u2015), hAPP(c_Groups_Ouminus__class_Ouminus(_u2013), _u2014))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2013), _u2014), hAPP(c_Groups_Ouminus__class_Ouminus(_u2013), _u2015))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2016) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2016), hAPP(c_Groups_Ouminus__class_Ouminus(_u2016), _u2017)), _u2018)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2016), hAPP(c_Groups_Ouminus__class_Ouminus(_u2016), _u2018)), _u2017)) )).
% 27.66/27.85 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2016) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2016), hAPP(c_Groups_Ouminus__class_Ouminus(_u2016), _u2018)), _u2017)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2016), hAPP(c_Groups_Ouminus__class_Ouminus(_u2016), _u2017)), _u2018)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2019) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2019), hAPP(c_Groups_Ouminus__class_Ouminus(_u2019), _u2020)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2019), _u2021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2019), _u2021), _u2020)) )).
% 27.66/27.85 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2019) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2019), _u2021), _u2020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2019), hAPP(c_Groups_Ouminus__class_Ouminus(_u2019), _u2020)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2019), _u2021))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u2022) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2022), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2022), _u2023), _u2024)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2022), hAPP(c_Groups_Ouminus__class_Ouminus(_u2022), _u2023)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2022), _u2024))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u2025) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2025), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2025), _u2026), _u2027)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2025), hAPP(c_Groups_Ouminus__class_Ouminus(_u2025), _u2027)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2025), _u2026))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u2028) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2028), _u2029), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2028), hAPP(c_Groups_Ouminus__class_Ouminus(_u2028), _u2029)), _u2030)) = _u2030) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u2031) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2031), hAPP(c_Groups_Ouminus__class_Ouminus(_u2031), _u2032)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2031), _u2032), _u2033)) = _u2033) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2034) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2034), c_Groups_Ozero__class_Ozero(_u2034)), _u2035) = c_Groups_Ozero__class_Ozero(_u2034)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2036) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2036), _u2037), c_Groups_Ozero__class_Ozero(_u2036)) = c_Groups_Ozero__class_Ozero(_u2036)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u2038) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2038), c_Groups_Ozero__class_Ozero(_u2038)), _u2039) = c_Groups_Ozero__class_Ozero(_u2038)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u2040) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2040), _u2041), c_Groups_Ozero__class_Ozero(_u2040)) = c_Groups_Ozero__class_Ozero(_u2040)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u2042) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2042), _u2043), _u2044) != c_Groups_Ozero__class_Ozero(_u2042)) | ( _u2043 = c_Groups_Ozero__class_Ozero(_u2042)) | ( _u2044 = c_Groups_Ozero__class_Ozero(_u2042)) )).
% 27.66/27.85 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u2042) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2042), _u2043), _u2044) = c_Groups_Ozero__class_Ozero(_u2042)) | ( _u2043 != c_Groups_Ozero__class_Ozero(_u2042)) )).
% 27.66/27.85 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u2042) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2042), _u2043), _u2044) = c_Groups_Ozero__class_Ozero(_u2042)) | ( _u2044 != c_Groups_Ozero__class_Ozero(_u2042)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u2045) | ( _u2046 = c_Groups_Ozero__class_Ozero(_u2045)) | ( _u2047 = c_Groups_Ozero__class_Ozero(_u2045)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2045), _u2046), _u2047) != c_Groups_Ozero__class_Ozero(_u2045)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u2048) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2048), _u2049), _u2050) != c_Groups_Ozero__class_Ozero(_u2048)) | ( _u2049 = c_Groups_Ozero__class_Ozero(_u2048)) | ( _u2050 = c_Groups_Ozero__class_Ozero(_u2048)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u2051) | ( c_Groups_Oone__class_Oone(_u2051) != c_Groups_Ozero__class_Ozero(_u2051)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u2052) | ( c_Groups_Ozero__class_Ozero(_u2052) != c_Groups_Oone__class_Oone(_u2052)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 27.66/27.85 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)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__int ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2053)) = _u2053) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2054) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2055), _u2056)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2057), _u2058)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2055), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2057), _u2056))) | ( _u2055 = _u2057) | ( _u2056 = _u2058) )).
% 27.66/27.85 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2054) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2055), _u2056)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2057), _u2058)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2055), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2057), _u2056))) | ( _u2055 != _u2057) )).
% 27.66/27.85 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2054) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2055), _u2056)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2057), _u2058)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2055), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2057), _u2056))) | ( _u2056 != _u2058) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2059) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2059), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2059), _u2060), _u2061)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2059), _u2062), _u2061)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2059), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2059), _u2060), _u2062)), _u2061)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2063) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2063), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2063), _u2064), _u2065)), _u2066) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2063), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2063), _u2064), _u2066)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2063), _u2065), _u2066))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2067) | ( _u2068 = _u2069) | ( _u2070 = _u2071) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2070)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2069), _u2071)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2071)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2069), _u2070))) )).
% 27.66/27.85 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2067) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2070)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2069), _u2071)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2071)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2069), _u2070))) | ( _u2068 != _u2069) )).
% 27.66/27.85 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2067) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2070)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2069), _u2071)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2071)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2069), _u2070))) | ( _u2070 != _u2071) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2072) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2072), _u2073), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2072), _u2074), _u2075)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2072), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2072), _u2073), _u2074)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2072), _u2073), _u2075))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u2076) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2076), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2076), _u2077), _u2078)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2076), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2076), _u2079), _u2078)), _u2080)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2076), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2076), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2076), _u2077), _u2079)), _u2078)), _u2080)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u2081) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2081), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2081), _u2082), _u2083)), _u2084) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2081), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2081), _u2082), _u2084)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2081), _u2083), _u2084))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2085), _u2086)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2085)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2086))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2087), _u2088)), _u2089) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2087), _u2089)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2088), _u2089))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2090), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2091), _u2092)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2090), _u2091)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2090), _u2092))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__int__eq ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2093)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2093)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_one__less__nat__eq ( axiom ) converted to clauses:
% 27.66/27.85 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, _u2095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2095)) )).
% 27.66/27.85 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)), _u2096)) | 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, _u2096))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), c_Groups_Ozero__class_Ozero(_u2097)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2097), _u2098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), _u2098), c_Groups_Ozero__class_Ozero(_u2097))) )).
% 27.66/27.85 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), _u2098), c_Groups_Ozero__class_Ozero(_u2097))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), c_Groups_Ozero__class_Ozero(_u2097)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2097), _u2098))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), hAPP(c_Groups_Ouminus__class_Ouminus(_u2099), _u2100)), c_Groups_Ozero__class_Ozero(_u2099))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), c_Groups_Ozero__class_Ozero(_u2099)), _u2100)) )).
% 27.66/27.85 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), c_Groups_Ozero__class_Ozero(_u2099)), _u2100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), hAPP(c_Groups_Ouminus__class_Ouminus(_u2099), _u2100)), c_Groups_Ozero__class_Ozero(_u2099))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), hAPP(c_Groups_Ouminus__class_Ouminus(_u2101), _u2102)), _u2102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), c_Groups_Ozero__class_Ozero(_u2101)), _u2102)) )).
% 27.66/27.85 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), c_Groups_Ozero__class_Ozero(_u2101)), _u2102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), hAPP(c_Groups_Ouminus__class_Ouminus(_u2101), _u2102)), _u2102)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2103), _u2104), hAPP(c_Groups_Ouminus__class_Ouminus(_u2103), _u2104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2103), _u2104), c_Groups_Ozero__class_Ozero(_u2103))) )).
% 27.66/27.85 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2103), _u2104), c_Groups_Ozero__class_Ozero(_u2103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2103), _u2104), hAPP(c_Groups_Ouminus__class_Ouminus(_u2103), _u2104))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u2105) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), _u2106), _u2107) != c_Groups_Ozero__class_Ozero(_u2105)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2105), _u2106) = _u2107) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u2108) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2108), hAPP(c_Groups_Ouminus__class_Ouminus(_u2108), _u2109)), _u2109) = c_Groups_Ozero__class_Ozero(_u2108)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u2110) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2110), hAPP(c_Groups_Ouminus__class_Ouminus(_u2110), _u2111)), _u2111) = c_Groups_Ozero__class_Ozero(_u2110)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u2112) | ( _u2113 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2112), _u2114)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2112), _u2113), _u2114) = c_Groups_Ozero__class_Ozero(_u2112)) )).
% 27.66/27.85 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u2112) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2112), _u2113), _u2114) != c_Groups_Ozero__class_Ozero(_u2112)) | ( _u2113 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2112), _u2114)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u2115) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2115), _u2116), hAPP(c_Groups_Ouminus__class_Ouminus(_u2115), _u2116)) = c_Groups_Ozero__class_Ozero(_u2115)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__0 ( axiom ) converted to clauses:
% 27.66/27.85 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)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_transfer__nat__int__numerals_I1_J ( axiom ) converted to clauses:
% 27.66/27.85 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))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u2117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), _u2118), _u2118)), c_Groups_Ozero__class_Ozero(_u2117))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2120), _u2121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2122), _u2121))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), c_Groups_Ozero__class_Ozero(_u2119)), _u2121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2121), c_Groups_Ozero__class_Ozero(_u2119))) )).
% 27.66/27.85 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2120), _u2121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2122), _u2121))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), c_Groups_Ozero__class_Ozero(_u2119)), _u2121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2122), _u2120)) )).
% 27.66/27.85 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2120), _u2121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2122), _u2121))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2120), _u2122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2121), c_Groups_Ozero__class_Ozero(_u2119))) )).
% 27.66/27.85 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2120), _u2121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2122), _u2121))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2120), _u2122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2122), _u2120)) )).
% 27.66/27.85 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2119) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2120), _u2121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2122), _u2121))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), c_Groups_Ozero__class_Ozero(_u2119)), _u2121)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2120), _u2122)) )).
% 27.66/27.85 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2119) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2120), _u2121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2122), _u2121))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2121), c_Groups_Ozero__class_Ozero(_u2119))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2122), _u2120)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2126))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), c_Groups_Ozero__class_Ozero(_u2123)), _u2124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2124), c_Groups_Ozero__class_Ozero(_u2123))) )).
% 27.66/27.85 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2126))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), c_Groups_Ozero__class_Ozero(_u2123)), _u2124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2126), _u2125)) )).
% 27.66/27.85 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2126))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2125), _u2126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2124), c_Groups_Ozero__class_Ozero(_u2123))) )).
% 27.66/27.85 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2126))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2125), _u2126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2126), _u2125)) )).
% 27.66/27.85 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2123) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2126))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), c_Groups_Ozero__class_Ozero(_u2123)), _u2124)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2125), _u2126)) )).
% 27.66/27.85 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2123) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2126))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2124), c_Groups_Ozero__class_Ozero(_u2123))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2126), _u2125)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2127), c_Groups_Ozero__class_Ozero(_u2127)), _u2128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2127), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2127), _u2128), _u2129)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2127), _u2128), _u2130))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2127), _u2129), _u2130)) )).
% 27.66/27.85 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2127), c_Groups_Ozero__class_Ozero(_u2127)), _u2128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2127), _u2129), _u2130)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2127), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2127), _u2128), _u2129)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2127), _u2128), _u2130))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2131) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), _u2132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), _u2133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2131), _u2132), _u2133))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2134), c_Groups_Ozero__class_Ozero(_u2134)), _u2135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2134), _u2136), c_Groups_Ozero__class_Ozero(_u2134))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2134), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2134), _u2135), _u2136)), c_Groups_Ozero__class_Ozero(_u2134))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2137), c_Groups_Ozero__class_Ozero(_u2137)), _u2138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2137), _u2139), c_Groups_Ozero__class_Ozero(_u2137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2137), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2137), _u2139), _u2138)), c_Groups_Ozero__class_Ozero(_u2137))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2140) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2140), c_Groups_Ozero__class_Ozero(_u2140)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2140), _u2141), _u2142))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2140), c_Groups_Ozero__class_Ozero(_u2140)), _u2141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2140), c_Groups_Ozero__class_Ozero(_u2140)), _u2142)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2143) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2143), c_Groups_Ozero__class_Ozero(_u2143)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2143), _u2144), _u2145))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2143), c_Groups_Ozero__class_Ozero(_u2143)), _u2145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2143), c_Groups_Ozero__class_Ozero(_u2143)), _u2144)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), _u2147), c_Groups_Ozero__class_Ozero(_u2146))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2146), _u2147), _u2148)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2146), _u2147), _u2149))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), _u2149), _u2148)) )).
% 27.66/27.85 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), _u2147), c_Groups_Ozero__class_Ozero(_u2146))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), _u2149), _u2148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2146), _u2147), _u2148)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2146), _u2147), _u2149))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2150), _u2151), c_Groups_Ozero__class_Ozero(_u2150))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2150), c_Groups_Ozero__class_Ozero(_u2150)), _u2152)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2150), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2150), _u2151), _u2152)), c_Groups_Ozero__class_Ozero(_u2150))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2153), _u2154), c_Groups_Ozero__class_Ozero(_u2153))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2153), _u2155), c_Groups_Ozero__class_Ozero(_u2153))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2153), c_Groups_Ozero__class_Ozero(_u2153)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2153), _u2154), _u2155))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2156), _u2157), _u2158)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2156), c_Groups_Ozero__class_Ozero(_u2156)), _u2159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2156), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2156), _u2157), _u2159)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2156), _u2158), _u2159))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2160), _u2161), _u2162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2160), c_Groups_Ozero__class_Ozero(_u2160)), _u2163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2160), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2160), _u2163), _u2161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2160), _u2163), _u2162))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u2164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2164), _u2165), _u2166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2164), c_Groups_Ozero__class_Ozero(_u2164)), _u2167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2164), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2164), _u2167), _u2165)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2164), _u2167), _u2166))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2168), _u2169), _u2170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2168), _u2171), c_Groups_Ozero__class_Ozero(_u2168))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2168), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2170), _u2171)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2169), _u2171))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2172), _u2173), _u2174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2172), _u2175), c_Groups_Ozero__class_Ozero(_u2172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2172), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2175), _u2174)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2175), _u2173))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2176), c_Groups_Oone__class_Oone(_u2176)), c_Groups_Ozero__class_Ozero(_u2176))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2177), c_Groups_Ozero__class_Ozero(_u2177)), c_Groups_Oone__class_Oone(_u2177))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2178) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2178), _u2179), _u2179)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2178), _u2180), _u2180)) != c_Groups_Ozero__class_Ozero(_u2178)) | ( _u2179 = c_Groups_Ozero__class_Ozero(_u2178)) )).
% 27.66/27.85 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2178) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2178), _u2179), _u2179)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2178), _u2180), _u2180)) != c_Groups_Ozero__class_Ozero(_u2178)) | ( _u2180 = c_Groups_Ozero__class_Ozero(_u2178)) )).
% 27.66/27.85 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2178) | ( _u2179 != c_Groups_Ozero__class_Ozero(_u2178)) | ( _u2180 != c_Groups_Ozero__class_Ozero(_u2178)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2178), _u2179), _u2179)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2178), _u2180), _u2180)) = c_Groups_Ozero__class_Ozero(_u2178)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2181) | ( _u2182 = c_Groups_Ozero__class_Ozero(_u2181)) | ( _u2183 != _u2184) | ( _u2185 = _u2186) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2181), _u2183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2181), _u2182), _u2185)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2181), _u2184), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2181), _u2182), _u2186))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2187) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2187), _u2188), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2187), _u2188), c_Groups_Oone__class_Oone(_u2187)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2189)), _u2189) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_negative__eq__positive ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2192)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2194)) | ( _u2192 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85 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), _u2192)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2194)) | ( _u2194 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85 cnf(fact_negative__eq__positive-3, axiom, ( ( _u2193 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2195 != 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), _u2193)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2195)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_not__int__zless__negative ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2196)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2197)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zmult__zless__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2198), _u2199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2200), _u2198)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2200), _u2199))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 27.66/27.85 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))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 27.66/27.85 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)), _u2201)), _u2201) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zless__add1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2204), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2206), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2204), _u2206)) | ( _u2204 = _u2206) )).
% 27.66/27.85 cnf(fact_zless__add1__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2205), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2207), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2205), _u2207)) )).
% 27.66/27.85 cnf(fact_zless__add1__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2205), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2207), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u2205 != _u2207) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__0 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__int__0-1, axiom, ( ~class_Rings_Oring__1(_u2208) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2208), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u2208)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__0__eq__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__int__0__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u2209) | ( c_Groups_Ozero__class_Ozero(_u2209) != hAPP(c_Int_Oring__1__class_Oof__int(_u2209), _u2210)) | ( _u2210 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.85 cnf(fact_of__int__0__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u2209) | ( _u2210 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u2209) = hAPP(c_Int_Oring__1__class_Oof__int(_u2209), _u2210)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__eq__0__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__int__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u2211) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2211), _u2212) != c_Groups_Ozero__class_Ozero(_u2211)) | ( _u2212 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.85 cnf(fact_of__int__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u2211) | ( _u2212 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2211), _u2212) = c_Groups_Ozero__class_Ozero(_u2211)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__less__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__int__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2213) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2213), hAPP(c_Int_Oring__1__class_Oof__int(_u2213), _u2214)), hAPP(c_Int_Oring__1__class_Oof__int(_u2213), _u2215))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2214), _u2215)) )).
% 27.66/27.85 cnf(fact_of__int__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2213) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2214), _u2215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2213), hAPP(c_Int_Oring__1__class_Oof__int(_u2213), _u2214)), hAPP(c_Int_Oring__1__class_Oof__int(_u2213), _u2215))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__add ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__int__add-1, axiom, ( ~class_Rings_Oring__1(_u2216) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2216), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2217), _u2218)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2216), hAPP(c_Int_Oring__1__class_Oof__int(_u2216), _u2217)), hAPP(c_Int_Oring__1__class_Oof__int(_u2216), _u2218))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__of__nat__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__int__of__nat__eq-1, axiom, ( ~class_Rings_Oring__1(_u2219) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2219), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2220)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2219), _u2220)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__mono__iff ( axiom ) converted to clauses:
% 27.66/27.85 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)), _u2221)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2222)), hAPP(c_Int_Onat, _u2221))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2222), _u2221)) )).
% 27.66/27.85 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)), _u2221)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2222), _u2221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2222)), hAPP(c_Int_Onat, _u2221))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zless__nat__conj ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zless__nat__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2225)), hAPP(c_Int_Onat, _u2227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2227)) )).
% 27.66/27.85 cnf(fact_zless__nat__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2225)), hAPP(c_Int_Onat, _u2227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2225), _u2227)) )).
% 27.66/27.85 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)), _u2228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2226), _u2228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2226)), hAPP(c_Int_Onat, _u2228))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zless__nat__eq__int__zless ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zless__nat__eq__int__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2231), hAPP(c_Int_Onat, _u2233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2231)), _u2233)) )).
% 27.66/27.85 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), _u2232)), _u2234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2232), hAPP(c_Int_Onat, _u2234))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2235) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2235), c_Groups_Ozero__class_Ozero(_u2235)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2235), _u2236), _u2236)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2235), _u2237), _u2237)))) | ( _u2236 != c_Groups_Ozero__class_Ozero(_u2235)) | ( _u2237 != c_Groups_Ozero__class_Ozero(_u2235)) )).
% 27.66/27.85 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2235) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2235), c_Groups_Ozero__class_Ozero(_u2235)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2235), _u2236), _u2236)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2235), _u2237), _u2237)))) | ( _u2236 = c_Groups_Ozero__class_Ozero(_u2235)) )).
% 27.66/27.85 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2235) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2235), c_Groups_Ozero__class_Ozero(_u2235)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2235), _u2236), _u2236)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2235), _u2237), _u2237)))) | ( _u2237 = c_Groups_Ozero__class_Ozero(_u2235)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u2238) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2238), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2238), _u2239), _u2239)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2238), _u2240), _u2240))), c_Groups_Ozero__class_Ozero(_u2238))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2241) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2241), c_Groups_Ozero__class_Ozero(_u2241)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2241), c_Groups_Oone__class_Oone(_u2241)), c_Groups_Oone__class_Oone(_u2241)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__nat__Suc ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__nat__Suc-1, axiom, ( ~class_Rings_Osemiring__1(_u2242) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2242), hAPP(c_Nat_OSuc, _u2243)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2242), c_Groups_Oone__class_Oone(_u2242)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2242), _u2243))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_int__Suc0__eq__1 ( axiom ) converted to clauses:
% 27.66/27.85 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)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__aux__def ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat__aux__def-1, axiom, ( ( c_Int_Onat__aux(_u2244, _u2245) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u2244)), _u2245)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_negD ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_negD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2247), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2247 = 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(_u2247))))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u2248) | ( _u2249 != c_Groups_Ozero__class_Ozero(_u2248)) | ( c_Groups_Osgn__class_Osgn(_u2248, _u2249) = c_Groups_Ozero__class_Ozero(_u2248)) )).
% 27.66/27.85 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u2248) | ( _u2249 = c_Groups_Ozero__class_Ozero(_u2248)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2248), c_Groups_Ozero__class_Ozero(_u2248)), _u2249)) | ( c_Groups_Osgn__class_Osgn(_u2248, _u2249) = c_Groups_Oone__class_Oone(_u2248)) )).
% 27.66/27.85 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u2248) | ( _u2249 = c_Groups_Ozero__class_Ozero(_u2248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2248), c_Groups_Ozero__class_Ozero(_u2248)), _u2249)) | ( c_Groups_Osgn__class_Osgn(_u2248, _u2249) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2248), c_Groups_Oone__class_Oone(_u2248))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u2250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2250), _u2251), c_Groups_Ozero__class_Ozero(_u2250))) | ( c_Groups_Osgn__class_Osgn(_u2250, _u2251) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2250), c_Groups_Oone__class_Oone(_u2250))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u2252) | ( c_Groups_Osgn__class_Osgn(_u2252, _u2253) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2252), c_Groups_Oone__class_Oone(_u2252))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2252), _u2253), c_Groups_Ozero__class_Ozero(_u2252))) )).
% 27.66/27.85 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u2252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2252), _u2253), c_Groups_Ozero__class_Ozero(_u2252))) | ( c_Groups_Osgn__class_Osgn(_u2252, _u2253) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2252), c_Groups_Oone__class_Oone(_u2252))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zsgn__def ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zsgn__def-1, axiom, ( ( _u2255 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2255) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.85 cnf(fact_zsgn__def-2, axiom, ( ( _u2256 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2256)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2256) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.66/27.85 cnf(fact_zsgn__def-3, axiom, ( ( _u2256 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2256)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2256) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Suc__nat__eq__nat__zadd1 ( axiom ) converted to clauses:
% 27.66/27.85 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)), _u2257)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u2257)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2257))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__less__iff ( axiom ) converted to clauses:
% 27.66/27.85 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)), _u2258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2258)), _u2259)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2258), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2259))) )).
% 27.66/27.85 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)), _u2258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2258), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2258)), _u2259)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u2260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2260), _u2261), _u2262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2260), _u2263), _u2262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2260), c_Groups_Ozero__class_Ozero(_u2260)), _u2264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2260), c_Groups_Ozero__class_Ozero(_u2260)), _u2265)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2260), _u2264), _u2265) != c_Groups_Oone__class_Oone(_u2260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2260), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2260), _u2264), _u2261)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2260), _u2265), _u2263))), _u2262)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u2266) | ( c_Groups_Osgn__class_Osgn(_u2266, _u2267) != c_Groups_Oone__class_Oone(_u2266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2266), c_Groups_Ozero__class_Ozero(_u2266)), _u2267)) )).
% 27.66/27.85 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u2266) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2266), c_Groups_Ozero__class_Ozero(_u2266)), _u2267)) | ( c_Groups_Osgn__class_Osgn(_u2266, _u2267) = c_Groups_Oone__class_Oone(_u2266)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u2268) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2268), _u2269), _u2269)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_le0 ( axiom ) converted to clauses:
% 27.66/27.85 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)), _u2270)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_negative__zle ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2271))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2272))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u2273 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2273), _u2274)) | ( _u2274 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2273 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2280), _u2282)) | ~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, _u2278)), _u2280)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2278)), _u2282))) )).
% 27.66/27.85 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2281), _u2283)) | 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, _u2279)), _u2281)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2279)), _u2283))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_le__square ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_le__square-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2284), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2284), _u2284))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_le__cube-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2285), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2285), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2285), _u2285)))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 27.66/27.85 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)), _u2286) = _u2286) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2289), _u2291)) | ( _u2289 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.66/27.85 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), _u2289), _u2291)) | ( _u2291 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.66/27.85 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u2290 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2292 != 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), _u2290), _u2292)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2293), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2293) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2294), _u2295) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2295), _u2294)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2298), _u2300) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2298 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.66/27.85 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2298), _u2300) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2300 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.66/27.85 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u2299 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2301 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2299), _u2301) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2302), _u2303)), _u2304) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2303), _u2304))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2305), _u2306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2305), _u2307)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2306), _u2307))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2308), _u2309)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2310), _u2308)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2310), _u2309))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_mult__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2311), _u2312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2313), _u2314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2311), _u2313)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2312), _u2314))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zle__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2315), _u2316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2316), _u2315)) | ( _u2315 = _u2316) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zle__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2317), _u2318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2318), _u2319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2317), _u2319)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zle__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2320), _u2321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2321), _u2320)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_zle__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2322), _u2322)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u2323) | ( c_Groups_Osgn__class_Osgn(_u2323, c_Groups_Osgn__class_Osgn(_u2323, _u2324)) = c_Groups_Osgn__class_Osgn(_u2323, _u2324)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u2325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2325), _u2326), _u2327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2325), _u2327), _u2326)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u2328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2329, _u2328)), _u2330), _u2331)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2328), hAPP(_u2330, _u2332)), hAPP(_u2331, _u2332))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u2333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2333), _u2334), _u2335)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2333), _u2336), _u2334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2333), _u2336), _u2335)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u2337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2337), _u2338), _u2339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2337), _u2339), _u2338)) | ( _u2339 = _u2338) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2340) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2340), _u2341), _u2342)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2340), _u2342), _u2343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2340), _u2341), _u2343)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u2344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2344), _u2345), _u2346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2344), _u2346), _u2345)) | ( _u2345 = _u2346) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u2347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2347), _u2348), _u2349)) | ( _u2348 != _u2350) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2347), _u2350), _u2349)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u2351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2351), _u2352), _u2353)) | ( _u2353 != _u2354) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2351), _u2352), _u2354)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u2355) | ( _u2356 != _u2357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2355), _u2358), _u2357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2355), _u2358), _u2356)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u2359) | ( _u2360 != _u2361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2359), _u2361), _u2362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2359), _u2360), _u2362)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__antisym__conv-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__eq(_u2363), _u2365), _u2364)) | ( _u2365 = _u2364) )).
% 27.66/27.85 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u2363) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2363), _u2364), _u2365)) | ( _u2365 != _u2364) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2363), _u2365), _u2364)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u2366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2367, _u2366)), _u2368), _u2369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2366), hAPP(_u2368, _u2370)), hAPP(_u2369, _u2370))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u2371) | ( _u2372 != _u2373) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2371), _u2372), _u2373)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u2374) | ( _u2375 != _u2376) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2374), _u2375), _u2376)) )).
% 27.66/27.85 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u2374) | ( _u2375 != _u2376) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2374), _u2376), _u2375)) )).
% 27.66/27.85 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u2374) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2374), _u2375), _u2376)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2374), _u2376), _u2375)) | ( _u2375 = _u2376) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2377) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2377), _u2378), _u2379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2377), _u2379), _u2378)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u2382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2383, _u2382)), _u2384), _u2385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2382), hAPP(_u2384, _u2380)), hAPP(_u2385, _u2380))) )).
% 27.66/27.85 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u2382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2382), hAPP(_u2384, skolem42(_u2385, _u2384, _u2383, _u2382))), hAPP(_u2385, skolem42(_u2385, _u2384, _u2383, _u2382)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2383, _u2382)), _u2384), _u2385)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__nat__le__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__nat__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2386), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2386), _u2387)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2386), _u2388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2387), _u2388)) )).
% 27.66/27.85 cnf(fact_of__nat__le__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u2386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2387), _u2388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2386), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2386), _u2387)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2386), _u2388))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_zle__int ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2391)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2393))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2391), _u2393)) )).
% 27.66/27.85 cnf(fact_zle__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2392), _u2394)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2392)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2394))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_transfer__int__nat__relations_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2397)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2397), _u2399)) )).
% 27.66/27.85 cnf(fact_transfer__int__nat__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2398), _u2400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2398)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2400))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_of__int__le__iff ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_of__int__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2401), hAPP(c_Int_Oring__1__class_Oof__int(_u2401), _u2402)), hAPP(c_Int_Oring__1__class_Oof__int(_u2401), _u2403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2402), _u2403)) )).
% 27.66/27.85 cnf(fact_of__int__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2402), _u2403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2401), hAPP(c_Int_Oring__1__class_Oof__int(_u2401), _u2402)), hAPP(c_Int_Oring__1__class_Oof__int(_u2401), _u2403))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2406), _u2408))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2406)) )).
% 27.66/27.85 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), _u2406), _u2408))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2408)) )).
% 27.66/27.85 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))), _u2407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2409)) | 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), _u2407), _u2409))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2413), _u2415)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2413), _u2417))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2415), _u2417)) )).
% 27.66/27.85 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), _u2414), _u2416)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2414), _u2418))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2414)) )).
% 27.66/27.85 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), _u2414), _u2416)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2414), _u2418))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2416), _u2418)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 27.66/27.85 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), _u2422), _u2424)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2426), _u2424))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2422), _u2426)) )).
% 27.66/27.85 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), _u2423), _u2425)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2427), _u2425))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2425)) )).
% 27.66/27.85 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), _u2423), _u2425)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2427), _u2425))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2423), _u2427)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_transfer__nat__int__relations_I3_J ( axiom ) converted to clauses:
% 27.66/27.85 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)), _u2428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2428)), hAPP(c_Int_Onat, _u2429))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2428), _u2429)) )).
% 27.66/27.85 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)), _u2428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2428), _u2429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2428)), hAPP(c_Int_Onat, _u2429))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u2430) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2431), _u2432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2430), _u2432), _u2431)) )).
% 27.66/27.85 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u2430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2430), _u2432), _u2431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2431), _u2432)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u2433) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2433), _u2434), _u2435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2433), _u2435), _u2434)) )).
% 27.66/27.85 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u2433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2433), _u2435), _u2434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2433), _u2434), _u2435)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2436) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2436), _u2437), _u2438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2436), _u2438), _u2437)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u2439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2439), _u2440), _u2441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2439), _u2440), _u2441)) )).
% 27.66/27.85 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u2439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2439), _u2440), _u2441)) | ( _u2440 != _u2441) )).
% 27.66/27.85 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u2439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2439), _u2440), _u2441)) | ( _u2440 = _u2441) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2439), _u2440), _u2441)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u2442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2442), _u2443), _u2444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), _u2443), _u2444)) )).
% 27.66/27.85 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u2442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2442), _u2443), _u2444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), _u2444), _u2443)) )).
% 27.66/27.85 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u2442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), _u2443), _u2444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), _u2444), _u2443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2442), _u2443), _u2444)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u2445) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), _u2446), _u2447)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2445), _u2446), _u2447)) | ( _u2446 = _u2447) )).
% 27.66/27.85 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u2445) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), _u2446), _u2447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2445), _u2446), _u2447)) )).
% 27.66/27.85 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u2445) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), _u2446), _u2447)) | ( _u2446 != _u2447) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_leI ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u2448) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2448), _u2449), _u2450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2448), _u2450), _u2449)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u2451) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2451), _u2452), _u2453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2451), _u2453), _u2452)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u2454) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2454), _u2455), _u2456)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2454), _u2455), _u2456)) | ( _u2455 = _u2456) )).
% 27.66/27.85 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u2454) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2454), _u2455), _u2456)) | ( _u2455 != _u2456) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2454), _u2455), _u2456)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u2457) | ( _u2458 = _u2459) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2457), _u2458), _u2459)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2457), _u2458), _u2459)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u2460) | ( _u2461 = _u2462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2460), _u2462), _u2461)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2460), _u2462), _u2461)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_leD ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u2463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2463), _u2464), _u2465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2463), _u2465), _u2464)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u2466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2466), _u2467), _u2468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2466), _u2467), _u2468)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u2469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2469), _u2470), _u2471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2469), _u2470), _u2471)) | ( _u2470 = _u2471) )).
% 27.66/27.85 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u2469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2469), _u2470), _u2471)) | ( _u2470 != _u2471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2469), _u2470), _u2471)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u2472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2472), _u2473), _u2474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2472), _u2473), _u2474)) | ( _u2473 = _u2474) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u2475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2475), _u2476), _u2477)) | ( _u2476 = _u2477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2475), _u2476), _u2477)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u2478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2478), _u2479), _u2480)) | ( _u2480 = _u2479) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2478), _u2479), _u2480)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2481), _u2482), _u2483)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2481), _u2483), _u2484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2481), _u2482), _u2484)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u2485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2485), _u2486), _u2487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2485), _u2488), _u2486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2485), _u2488), _u2487)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2489) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2489), _u2490), _u2491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2489), _u2491), _u2492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2489), _u2490), _u2492)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u2493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2494), _u2495)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2493), _u2496), _u2494)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2493), _u2496), _u2495)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2497), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2497), _u2498), _u2499)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2497), _u2498), _u2500))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2497), _u2499), _u2500)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2501), _u2502), _u2503)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2501), _u2504), _u2503))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), _u2502), _u2504)) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2505), _u2506), _u2507)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2505), _u2508), _u2509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2505), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2505), _u2506), _u2508)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2505), _u2507), _u2509))) )).
% 27.66/27.85
% 27.66/27.85 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 27.66/27.85 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2510), _u2511), _u2512)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2510), _u2513), _u2511)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2510), _u2513), _u2512))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2514) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2514), _u2515), _u2516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2514), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2514), _u2515), _u2517)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2514), _u2516), _u2517))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2518), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2518), _u2519), _u2520)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2518), _u2519), _u2521))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2518), _u2520), _u2521)) )).
% 27.66/27.86 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2518), _u2520), _u2521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2518), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2518), _u2519), _u2520)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2518), _u2519), _u2521))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2522), _u2523), _u2524)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2522), _u2525), _u2524))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2522), _u2523), _u2525)) )).
% 27.66/27.86 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2522), _u2523), _u2525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2522), _u2523), _u2524)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2522), _u2525), _u2524))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2529), _u2531) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2533), _u2531)) | ( _u2529 = _u2533) | ( _u2531 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2530), _u2532) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2534), _u2532)) | ( _u2530 != _u2534) )).
% 27.66/27.86 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2530), _u2532) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2534), _u2532)) | ( _u2532 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2538), _u2540) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2538), _u2542)) | ( _u2540 = _u2542) | ( _u2538 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2539), _u2541) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2539), _u2543)) | ( _u2541 != _u2543) )).
% 27.66/27.86 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2539), _u2541) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2539), _u2543)) | ( _u2539 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2546), _u2548) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2546 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2548 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2547), _u2549) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2547 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2547), _u2549) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2549 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2550), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2551) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u2557 = _u2559) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2555)), _u2557) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2555)), _u2559)) )).
% 27.66/27.86 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u2558 != _u2560) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2556)), _u2558) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2556)), _u2560)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__0__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2562), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2562 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_le__0__eq-2, axiom, ( ( _u2563 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2563), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u2564)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2565), _u2566), _u2567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2565), hAPP(c_Groups_Ouminus__class_Ouminus(_u2565), _u2567)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2565), _u2566))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2568), hAPP(c_Groups_Ouminus__class_Ouminus(_u2568), _u2569)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2568), _u2570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2568), _u2570), _u2569)) )).
% 27.66/27.86 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2568), _u2570), _u2569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2568), hAPP(c_Groups_Ouminus__class_Ouminus(_u2568), _u2569)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2568), _u2570))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2571), hAPP(c_Groups_Ouminus__class_Ouminus(_u2571), _u2572)), _u2573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2571), hAPP(c_Groups_Ouminus__class_Ouminus(_u2571), _u2573)), _u2572)) )).
% 27.66/27.86 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2571), hAPP(c_Groups_Ouminus__class_Ouminus(_u2571), _u2573)), _u2572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2571), hAPP(c_Groups_Ouminus__class_Ouminus(_u2571), _u2572)), _u2573)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2574), _u2575), hAPP(c_Groups_Ouminus__class_Ouminus(_u2574), _u2576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2574), _u2576), hAPP(c_Groups_Ouminus__class_Ouminus(_u2574), _u2575))) )).
% 27.66/27.86 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2574), _u2576), hAPP(c_Groups_Ouminus__class_Ouminus(_u2574), _u2575))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2574), _u2575), hAPP(c_Groups_Ouminus__class_Ouminus(_u2574), _u2576))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2578), _u2579)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2577), _u2578)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2577), _u2579))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 27.66/27.86 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), _u2580), _u2581)), _u2582) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2580), _u2582)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2581), _u2582))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 27.66/27.86 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, _u2583)), _u2583)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_not__less__eq__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2586), _u2588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2588)), _u2586)) )).
% 27.66/27.86 cnf(fact_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2589)), _u2587)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2587), _u2589)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2592), hAPP(c_Nat_OSuc, _u2594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2592), _u2594)) | ( _u2592 = hAPP(c_Nat_OSuc, _u2594)) )).
% 27.66/27.86 cnf(fact_le__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2593), hAPP(c_Nat_OSuc, _u2595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2593), _u2595)) )).
% 27.66/27.86 cnf(fact_le__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2593), hAPP(c_Nat_OSuc, _u2595))) | ( _u2593 != hAPP(c_Nat_OSuc, _u2595)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2598)), hAPP(c_Nat_OSuc, _u2600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2598), _u2600)) )).
% 27.66/27.86 cnf(fact_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2599), _u2601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2599)), hAPP(c_Nat_OSuc, _u2601))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2602), _u2603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2602), hAPP(c_Nat_OSuc, _u2603))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2604), hAPP(c_Nat_OSuc, _u2605))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2604), _u2605)) | ( _u2604 = hAPP(c_Nat_OSuc, _u2605)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Suc__leD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2606)), _u2607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2606), _u2607)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 27.66/27.86 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))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2608), _u2609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2608), _u2609)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_less__or__eq__imp__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2610), _u2611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2610), _u2611)) )).
% 27.66/27.86 cnf(fact_less__or__eq__imp__le-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2610), _u2611)) | ( _u2610 != _u2611) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__neq__implies__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2612), _u2613)) | ( _u2612 = _u2613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2612), _u2613)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_less__imp__le__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2614), _u2615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2614), _u2615)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2618), _u2620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2618), _u2620)) | ( _u2618 = _u2620) )).
% 27.66/27.86 cnf(fact_le__eq__less__or__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2619), _u2621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2619), _u2621)) )).
% 27.66/27.86 cnf(fact_le__eq__less__or__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2619), _u2621)) | ( _u2619 != _u2621) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__less__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2624), _u2626)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2624), _u2626)) )).
% 27.66/27.86 cnf(fact_nat__less__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2624), _u2626)) | ( _u2624 != _u2626) )).
% 27.66/27.86 cnf(fact_nat__less__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2625), _u2627)) | ( _u2625 = _u2627) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2625), _u2627)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2628), _u2629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2629), _u2630))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2631), _u2632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2631), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2633), _u2632))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__add2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2634), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2635), _u2634))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__add1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2636), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2636), _u2637))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__iff__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2642), _u2644)) | ( _u2644 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2642), skolem43(_u2644, _u2642))) )).
% 27.66/27.86 cnf(fact_le__iff__add-2, axiom, ( ( _u2645 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2643), _u2639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2643), _u2645)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__add__left__cancel__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2651), _u2653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2649), _u2651)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2649), _u2653))) )).
% 27.66/27.86 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2652), _u2654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2650), _u2652)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2650), _u2654))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_trans__le__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2655), _u2656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2656), _u2657))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_trans__le__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2658), _u2659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2658), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2660), _u2659))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2661), _u2662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2661), _u2663)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2662), _u2663))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2664), _u2665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2666), _u2667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2664), _u2666)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2665), _u2667))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__leD2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2669), _u2670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2668), _u2669)), _u2670)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 27.66/27.86 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), _u2671), _u2672)), _u2673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2671), _u2673)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 27.66/27.86 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), _u2674), _u2675)), _u2676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2674), _u2676)) )).
% 27.66/27.86 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), _u2674), _u2675)), _u2676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2675), _u2676)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2679), _u2681)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2679), _u2681)) )).
% 27.66/27.86 cnf(fact_zless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2679), _u2681)) | ( _u2679 != _u2681) )).
% 27.66/27.86 cnf(fact_zless__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2680), _u2682)) | ( _u2680 = _u2682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2680), _u2682)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zadd__left__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2683), _u2684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2685), _u2683)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2685), _u2684))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_evaln__nonstrict ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_evaln__nonstrict-1, axiom, ( ~c_Natural_Oevaln(_u2686, _u2687, _u2688, _u2689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2688), _u2690)) | c_Natural_Oevaln(_u2686, _u2687, _u2690, _u2689) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__le__eq__zle ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u2691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2691)), hAPP(c_Int_Onat, _u2692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2691), _u2692)) )).
% 27.66/27.86 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)), _u2691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2691), _u2692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2691)), hAPP(c_Int_Onat, _u2692))) )).
% 27.66/27.86 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)), _u2692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2691)), hAPP(c_Int_Onat, _u2692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2691), _u2692)) )).
% 27.66/27.86 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)), _u2692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2691), _u2692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2691)), hAPP(c_Int_Onat, _u2692))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__mult__distrib ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u2693)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2693), _u2694)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2693)), hAPP(c_Int_Onat, _u2694))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u2695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2696)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2695)), hAPP(c_Int_Onat, _u2696)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), _u2696))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_of__int__0__le__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_of__int__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2697), c_Groups_Ozero__class_Ozero(_u2697)), hAPP(c_Int_Oring__1__class_Oof__int(_u2697), _u2698))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2698)) )).
% 27.66/27.86 cnf(fact_of__int__0__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2697), c_Groups_Ozero__class_Ozero(_u2697)), hAPP(c_Int_Oring__1__class_Oof__int(_u2697), _u2698))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_of__int__le__0__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_of__int__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2699), hAPP(c_Int_Oring__1__class_Oof__int(_u2699), _u2700)), c_Groups_Ozero__class_Ozero(_u2699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2700), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_of__int__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2700), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2699), hAPP(c_Int_Oring__1__class_Oof__int(_u2699), _u2700)), c_Groups_Ozero__class_Ozero(_u2699))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u2701) | ( c_Groups_Osgn__class_Osgn(_u2701, _u2702) != c_Groups_Ozero__class_Ozero(_u2701)) | ( _u2702 = c_Groups_Ozero__class_Ozero(_u2701)) )).
% 27.66/27.86 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u2701) | ( _u2702 != c_Groups_Ozero__class_Ozero(_u2701)) | ( c_Groups_Osgn__class_Osgn(_u2701, _u2702) = c_Groups_Ozero__class_Ozero(_u2701)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u2703) | ( c_Groups_Osgn__class_Osgn(_u2703, c_Groups_Ozero__class_Ozero(_u2703)) = c_Groups_Ozero__class_Ozero(_u2703)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u2704) | ( c_Groups_Osgn__class_Osgn(_u2704, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2704), _u2705), _u2706)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2704), c_Groups_Osgn__class_Osgn(_u2704, _u2705)), c_Groups_Osgn__class_Osgn(_u2704, _u2706))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__mult__distrib__neg ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__mult__distrib__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2707), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2707), _u2708)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2707))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2708)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2709), c_Groups_Ozero__class_Ozero(_u2709)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2709), _u2710), _u2710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2709), c_Groups_Ozero__class_Ozero(_u2709)), _u2710)) )).
% 27.66/27.86 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2709), c_Groups_Ozero__class_Ozero(_u2709)), _u2710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2709), c_Groups_Ozero__class_Ozero(_u2709)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2709), _u2710), _u2710))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2711), _u2712), _u2712)), c_Groups_Ozero__class_Ozero(_u2711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), _u2712), c_Groups_Ozero__class_Ozero(_u2711))) )).
% 27.66/27.86 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), _u2712), c_Groups_Ozero__class_Ozero(_u2711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2711), _u2712), _u2712)), c_Groups_Ozero__class_Ozero(_u2711))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2713) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2713), c_Groups_Ozero__class_Ozero(_u2713)), _u2714)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2713), c_Groups_Ozero__class_Ozero(_u2713)), _u2715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2713), c_Groups_Ozero__class_Ozero(_u2713)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2713), _u2714), _u2715))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2716) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2716), c_Groups_Ozero__class_Ozero(_u2716)), _u2717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2716), c_Groups_Ozero__class_Ozero(_u2716)), _u2718)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2716), _u2717), _u2718) != c_Groups_Ozero__class_Ozero(_u2716)) | ( _u2717 = c_Groups_Ozero__class_Ozero(_u2716)) )).
% 27.66/27.86 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2716) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2716), c_Groups_Ozero__class_Ozero(_u2716)), _u2717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2716), c_Groups_Ozero__class_Ozero(_u2716)), _u2718)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2716), _u2717), _u2718) != c_Groups_Ozero__class_Ozero(_u2716)) | ( _u2718 = c_Groups_Ozero__class_Ozero(_u2716)) )).
% 27.66/27.86 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2716) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2716), c_Groups_Ozero__class_Ozero(_u2716)), _u2717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2716), c_Groups_Ozero__class_Ozero(_u2716)), _u2718)) | ( _u2717 != c_Groups_Ozero__class_Ozero(_u2716)) | ( _u2718 != c_Groups_Ozero__class_Ozero(_u2716)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2716), _u2717), _u2718) = c_Groups_Ozero__class_Ozero(_u2716)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2719) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2719), c_Groups_Ozero__class_Ozero(_u2719)), _u2720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2719), _u2721), _u2722)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2719), _u2721), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2719), _u2720), _u2722))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2723), c_Groups_Ozero__class_Ozero(_u2723)), _u2724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2723), _u2725), _u2726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2723), _u2725), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2723), _u2726), _u2724))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2727), _u2728), c_Groups_Ozero__class_Ozero(_u2727))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2727), _u2729), c_Groups_Ozero__class_Ozero(_u2727))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2727), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2727), _u2728), _u2729)), c_Groups_Ozero__class_Ozero(_u2727))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2731), _u2732)), c_Groups_Ozero__class_Ozero(_u2730))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), c_Groups_Ozero__class_Ozero(_u2730)), _u2731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), _u2732), c_Groups_Ozero__class_Ozero(_u2730))) )).
% 27.66/27.86 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2731), _u2732)), c_Groups_Ozero__class_Ozero(_u2730))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), _u2731), c_Groups_Ozero__class_Ozero(_u2730))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), c_Groups_Ozero__class_Ozero(_u2730)), _u2732)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u2733) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), c_Groups_Ozero__class_Ozero(_u2733)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2733), _u2734), _u2735))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), c_Groups_Ozero__class_Ozero(_u2733)), _u2734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), c_Groups_Ozero__class_Ozero(_u2733)), _u2735)) )).
% 27.66/27.86 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u2733) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), c_Groups_Ozero__class_Ozero(_u2733)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2733), _u2734), _u2735))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), _u2734), c_Groups_Ozero__class_Ozero(_u2733))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), _u2735), c_Groups_Ozero__class_Ozero(_u2733))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2737), _u2738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2739), _u2740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), c_Groups_Ozero__class_Ozero(_u2736)), _u2738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), c_Groups_Ozero__class_Ozero(_u2736)), _u2739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2736), _u2737), _u2739)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2736), _u2738), _u2740))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u2741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2741), _u2742), _u2743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2741), _u2744), _u2745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2741), c_Groups_Ozero__class_Ozero(_u2741)), _u2742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2741), c_Groups_Ozero__class_Ozero(_u2741)), _u2744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2741), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2741), _u2742), _u2744)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2741), _u2743), _u2745))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u2746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2746), _u2747), _u2748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2746), _u2749), c_Groups_Ozero__class_Ozero(_u2746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2746), _u2749), _u2748)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2746), _u2749), _u2747))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u2750) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2750), _u2751), _u2752)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2750), _u2753), c_Groups_Ozero__class_Ozero(_u2750))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2750), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2750), _u2752), _u2753)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2750), _u2751), _u2753))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u2754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2754), _u2755), _u2756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2754), c_Groups_Ozero__class_Ozero(_u2754)), _u2757)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2754), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2754), _u2757), _u2755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2754), _u2757), _u2756))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2758), _u2759), _u2760)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2758), c_Groups_Ozero__class_Ozero(_u2758)), _u2761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2758), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2758), _u2761), _u2759)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2758), _u2761), _u2760))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2762), _u2763), _u2764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2762), c_Groups_Ozero__class_Ozero(_u2762)), _u2765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2762), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2762), _u2763), _u2765)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2762), _u2764), _u2765))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u2766) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2766), _u2767), c_Groups_Ozero__class_Ozero(_u2766))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2766), _u2768), c_Groups_Ozero__class_Ozero(_u2766))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2766), c_Groups_Ozero__class_Ozero(_u2766)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2766), _u2767), _u2768))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2769), _u2770), c_Groups_Ozero__class_Ozero(_u2769))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2769), c_Groups_Ozero__class_Ozero(_u2769)), _u2771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2769), _u2770), _u2771)), c_Groups_Ozero__class_Ozero(_u2769))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2772) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2772), c_Groups_Ozero__class_Ozero(_u2772)), _u2773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2772), _u2774), c_Groups_Ozero__class_Ozero(_u2772))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2772), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2772), _u2774), _u2773)), c_Groups_Ozero__class_Ozero(_u2772))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2775) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2775), c_Groups_Ozero__class_Ozero(_u2775)), _u2776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2775), _u2777), c_Groups_Ozero__class_Ozero(_u2775))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2775), _u2776), _u2777)), c_Groups_Ozero__class_Ozero(_u2775))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2778), c_Groups_Ozero__class_Ozero(_u2778)), _u2779)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2778), c_Groups_Ozero__class_Ozero(_u2778)), _u2780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2778), c_Groups_Ozero__class_Ozero(_u2778)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2778), _u2779), _u2780))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2781), _u2782), _u2783)), c_Groups_Ozero__class_Ozero(_u2781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), c_Groups_Ozero__class_Ozero(_u2781)), _u2782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2782), c_Groups_Ozero__class_Ozero(_u2781))) )).
% 27.66/27.86 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2781), _u2782), _u2783)), c_Groups_Ozero__class_Ozero(_u2781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), c_Groups_Ozero__class_Ozero(_u2781)), _u2782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), c_Groups_Ozero__class_Ozero(_u2781)), _u2783)) )).
% 27.66/27.86 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2781), _u2782), _u2783)), c_Groups_Ozero__class_Ozero(_u2781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2783), c_Groups_Ozero__class_Ozero(_u2781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2782), c_Groups_Ozero__class_Ozero(_u2781))) )).
% 27.66/27.86 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2781), _u2782), _u2783)), c_Groups_Ozero__class_Ozero(_u2781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2783), c_Groups_Ozero__class_Ozero(_u2781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), c_Groups_Ozero__class_Ozero(_u2781)), _u2783)) )).
% 27.66/27.86 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2781) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2781), _u2782), _u2783)), c_Groups_Ozero__class_Ozero(_u2781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), c_Groups_Ozero__class_Ozero(_u2781)), _u2782)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2783), c_Groups_Ozero__class_Ozero(_u2781))) )).
% 27.66/27.86 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2781) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2781), _u2782), _u2783)), c_Groups_Ozero__class_Ozero(_u2781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2782), c_Groups_Ozero__class_Ozero(_u2781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), c_Groups_Ozero__class_Ozero(_u2781)), _u2783)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2784), _u2785), _u2786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), _u2785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), _u2785), c_Groups_Ozero__class_Ozero(_u2784))) )).
% 27.66/27.86 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2784), _u2785), _u2786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), _u2785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), _u2786), c_Groups_Ozero__class_Ozero(_u2784))) )).
% 27.66/27.86 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2784), _u2785), _u2786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), _u2786)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), _u2785), c_Groups_Ozero__class_Ozero(_u2784))) )).
% 27.66/27.86 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2784), _u2785), _u2786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), _u2786)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), _u2786), c_Groups_Ozero__class_Ozero(_u2784))) )).
% 27.66/27.86 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2784) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2784), _u2785), _u2786))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), _u2785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), _u2786)) )).
% 27.66/27.86 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2784) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2784), _u2785), _u2786))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), _u2785), c_Groups_Ozero__class_Ozero(_u2784))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), _u2786), c_Groups_Ozero__class_Ozero(_u2784))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u2787) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2787), c_Groups_Ozero__class_Ozero(_u2787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2787), _u2788), _u2788))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2789), _u2790), _u2791)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2789), _u2792), _u2793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2789), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2789), _u2790), _u2792)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2789), _u2791), _u2793))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2794), _u2795), _u2796)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2794), _u2797), _u2798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2794), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2794), _u2795), _u2797)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2794), _u2796), _u2798))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2799) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2799), c_Groups_Ozero__class_Ozero(_u2799)), c_Groups_Oone__class_Oone(_u2799))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2800), c_Groups_Oone__class_Oone(_u2800)), c_Groups_Ozero__class_Ozero(_u2800))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2801), c_Groups_Ozero__class_Ozero(_u2801)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2801), _u2802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2801), _u2802), c_Groups_Ozero__class_Ozero(_u2801))) )).
% 27.66/27.86 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2801), _u2802), c_Groups_Ozero__class_Ozero(_u2801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2801), c_Groups_Ozero__class_Ozero(_u2801)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2801), _u2802))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2803), _u2804), hAPP(c_Groups_Ouminus__class_Ouminus(_u2803), _u2804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2803), _u2804), c_Groups_Ozero__class_Ozero(_u2803))) )).
% 27.66/27.86 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2803), _u2804), c_Groups_Ozero__class_Ozero(_u2803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2803), _u2804), hAPP(c_Groups_Ouminus__class_Ouminus(_u2803), _u2804))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2805), hAPP(c_Groups_Ouminus__class_Ouminus(_u2805), _u2806)), c_Groups_Ozero__class_Ozero(_u2805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2805), c_Groups_Ozero__class_Ozero(_u2805)), _u2806)) )).
% 27.66/27.86 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2805), c_Groups_Ozero__class_Ozero(_u2805)), _u2806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2805), hAPP(c_Groups_Ouminus__class_Ouminus(_u2805), _u2806)), c_Groups_Ozero__class_Ozero(_u2805))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2807), hAPP(c_Groups_Ouminus__class_Ouminus(_u2807), _u2808)), _u2808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2807), c_Groups_Ozero__class_Ozero(_u2807)), _u2808)) )).
% 27.66/27.86 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2807), c_Groups_Ozero__class_Ozero(_u2807)), _u2808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2807), hAPP(c_Groups_Ouminus__class_Ouminus(_u2807), _u2808)), _u2808)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2811), _u2813) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2811 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.86 cnf(fact_mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2811), _u2813) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2813 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.86 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u2812 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2814 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2812), _u2814) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zero__le__imp__of__nat ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zero__le__imp__of__nat-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2815) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2815), c_Groups_Ozero__class_Ozero(_u2815)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2815), _u2816))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_of__nat__0__le__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_of__nat__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2817) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2817), c_Groups_Ozero__class_Ozero(_u2817)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2817), _u2818))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2819), _u2820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2821), _u2819)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2821), _u2820))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2822), _u2823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2824)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2822), _u2824)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2823), _u2824))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 27.66/27.86 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), _u2828), _u2830)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2832), _u2830))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2830)) )).
% 27.66/27.86 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), _u2828), _u2830)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2832), _u2830))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2828), _u2832)) )).
% 27.66/27.86 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)), _u2831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2829), _u2833)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2829), _u2831)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2833), _u2831))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 27.66/27.86 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), _u2837), _u2839)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2837), _u2841))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2837)) )).
% 27.66/27.86 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), _u2837), _u2839)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2837), _u2841))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2839), _u2841)) )).
% 27.66/27.86 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)), _u2838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2840), _u2842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2838), _u2840)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2838), _u2842))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 27.66/27.86 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), _u2845), _u2847))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2845)) )).
% 27.66/27.86 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), _u2845), _u2847))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2847)) )).
% 27.66/27.86 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)), _u2846)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2848)) | 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), _u2846), _u2848))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2854), _u2856)) | ~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, _u2852)), _u2854)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2852)), _u2856))) )).
% 27.66/27.86 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2855), _u2857)) | 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, _u2853)), _u2855)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2853)), _u2857))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2858)), _u2859) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2859), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2858), _u2859))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2860), hAPP(c_Nat_OSuc, _u2861)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2860), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2860), _u2861))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 27.66/27.86 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))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Suc__le__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2862)), _u2863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2862), _u2863)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2864), _u2865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2865), hAPP(c_Nat_OSuc, _u2864))) | ( _u2865 = _u2864) )).
% 27.66/27.86 cnf(fact_le__less__Suc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2864), _u2865)) | ( _u2865 != _u2864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2865), hAPP(c_Nat_OSuc, _u2864))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Suc__leI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2866), _u2867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2866)), _u2867)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__imp__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2868), _u2869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2868), hAPP(c_Nat_OSuc, _u2869))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Suc__le__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2872)), _u2874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2872), _u2874)) )).
% 27.66/27.86 cnf(fact_Suc__le__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2873), _u2875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2873)), _u2875)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_less__Suc__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2878), hAPP(c_Nat_OSuc, _u2880))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2878), _u2880)) )).
% 27.66/27.86 cnf(fact_less__Suc__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2879), _u2881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2879), hAPP(c_Nat_OSuc, _u2881))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_less__eq__Suc__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2884), _u2886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2884)), _u2886)) )).
% 27.66/27.86 cnf(fact_less__eq__Suc__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2885)), _u2887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2885), _u2887)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Suc__eq__plus1-1, axiom, ( ( hAPP(c_Nat_OSuc, _u2888) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2888), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( hAPP(c_Nat_OSuc, _u2889) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2889)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u2890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2891)) | 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), _u2890), _u2891))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zero__zle__int ( axiom ) converted to clauses:
% 27.66/27.86 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), _u2892))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J ( axiom ) converted to clauses:
% 27.66/27.86 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), _u2893))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_transfer__int__nat__quantifiers_I2_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u2894)) | ~hBOOL(hAPP(_u2899, _u2894)) | hBOOL(hAPP(_u2899, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem44(_u2899)))) )).
% 27.66/27.86 cnf(fact_transfer__int__nat__quantifiers_I2_J-2, axiom, ( ~hBOOL(hAPP(_u2900, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2896))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem45(_u2900))) )).
% 27.66/27.86 cnf(fact_transfer__int__nat__quantifiers_I2_J-3, axiom, ( ~hBOOL(hAPP(_u2900, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2896))) | hBOOL(hAPP(_u2900, skolem45(_u2900))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_transfer__int__nat__quantifiers_I1_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_transfer__int__nat__quantifiers_I1_J-1, axiom, ( hBOOL(hAPP(_u2906, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2902))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem46(_u2906))) )).
% 27.66/27.86 cnf(fact_transfer__int__nat__quantifiers_I1_J-2, axiom, ( hBOOL(hAPP(_u2906, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2902))) | ~hBOOL(hAPP(_u2906, skolem46(_u2906))) )).
% 27.66/27.86 cnf(fact_transfer__int__nat__quantifiers_I1_J-3, axiom, ( ~hBOOL(hAPP(_u2907, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem47(_u2907)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2904)) | hBOOL(hAPP(_u2907, _u2904)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 27.66/27.86 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))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_eq__nat__nat__iff ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2909)) | ( hAPP(c_Int_Onat, _u2908) != hAPP(c_Int_Onat, _u2909)) | ( _u2908 = _u2909) )).
% 27.66/27.86 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)), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2909)) | ( _u2908 != _u2909) | ( hAPP(c_Int_Onat, _u2908) = hAPP(c_Int_Onat, _u2909)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_ex__nat ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_ex__nat-1, axiom, ( ~hBOOL(hAPP(_u2915, _u2910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem48(_u2915))) )).
% 27.66/27.86 cnf(fact_ex__nat-2, axiom, ( ~hBOOL(hAPP(_u2915, _u2910)) | hBOOL(hAPP(_u2915, hAPP(c_Int_Onat, skolem48(_u2915)))) )).
% 27.66/27.86 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)), _u2912)) | ~hBOOL(hAPP(_u2916, hAPP(c_Int_Onat, _u2912))) | hBOOL(hAPP(_u2916, skolem49(_u2916))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_all__nat ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_all__nat-1, axiom, ( ~hBOOL(hAPP(_u2922, skolem50(_u2922))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2918)) | hBOOL(hAPP(_u2922, hAPP(c_Int_Onat, _u2918))) )).
% 27.66/27.86 cnf(fact_all__nat-2, axiom, ( hBOOL(hAPP(_u2923, _u2920)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem51(_u2923))) )).
% 27.66/27.86 cnf(fact_all__nat-3, axiom, ( hBOOL(hAPP(_u2923, _u2920)) | ~hBOOL(hAPP(_u2923, hAPP(c_Int_Onat, skolem51(_u2923)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_transfer__nat__int__relations_I1_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u2924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2925)) | ( hAPP(c_Int_Onat, _u2924) != hAPP(c_Int_Onat, _u2925)) | ( _u2924 = _u2925) )).
% 27.66/27.86 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)), _u2924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2925)) | ( _u2924 != _u2925) | ( hAPP(c_Int_Onat, _u2924) = hAPP(c_Int_Onat, _u2925)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zadd__zless__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2926), _u2927)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2928), _u2929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2926), _u2928)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2927), _u2929))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u2930)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2931)) | 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), _u2930), _u2931))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_int__mult ( axiom ) converted to clauses:
% 27.66/27.86 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), _u2932), _u2933)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2932)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2933))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmult__int ( axiom ) converted to clauses:
% 27.66/27.86 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), _u2934)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2935)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2934), _u2935))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 27.66/27.86 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), _u2936)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2937)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2936), _u2937))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zle__iff__zadd ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zle__iff__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2942), _u2944)) | ( _u2944 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2942), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem52(_u2944, _u2942)))) )).
% 27.66/27.86 cnf(fact_zle__iff__zadd-2, axiom, ( ( _u2945 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2943), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2943), _u2945)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_int__1 ( axiom ) converted to clauses:
% 27.66/27.86 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)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_transfer__int__nat__numerals_I2_J ( axiom ) converted to clauses:
% 27.66/27.86 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))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_transfer__nat__int__numerals_I2_J ( axiom ) converted to clauses:
% 27.66/27.86 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))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2946), _u2947), c_Groups_Ozero__class_Ozero(_u2946))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2946), _u2948), c_Groups_Ozero__class_Ozero(_u2946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2946), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2946), _u2947), _u2948)), c_Groups_Ozero__class_Ozero(_u2946))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2949), _u2950), c_Groups_Ozero__class_Ozero(_u2949))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2949), _u2951), c_Groups_Ozero__class_Ozero(_u2949))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2949), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2949), _u2950), _u2951)), c_Groups_Ozero__class_Ozero(_u2949))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2952), c_Groups_Ozero__class_Ozero(_u2952)), _u2953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2952), _u2954), _u2955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2952), _u2954), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2952), _u2953), _u2955))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2956), c_Groups_Ozero__class_Ozero(_u2956)), _u2957)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2956), _u2958), _u2959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2956), _u2958), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2956), _u2957), _u2959))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_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(_u2960), c_Groups_Ozero__class_Ozero(_u2960)), _u2962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2960), c_Groups_Ozero__class_Ozero(_u2960)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2960), _u2961), _u2962))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2963), c_Groups_Ozero__class_Ozero(_u2963)), _u2964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2963), c_Groups_Ozero__class_Ozero(_u2963)), _u2965)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2963), c_Groups_Ozero__class_Ozero(_u2963)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2963), _u2964), _u2965))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2966) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2966), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2966), _u2967), _u2968)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2966), _u2967), _u2969))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2966), c_Groups_Ozero__class_Ozero(_u2966)), _u2967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2966), _u2968), _u2969)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2970) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2970), _u2971), _u2972)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2970), _u2973), _u2972))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2970), c_Groups_Ozero__class_Ozero(_u2970)), _u2972)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2970), _u2971), _u2973)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2974) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2974), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2974), _u2975), _u2976)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2974), _u2975), _u2977))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2974), c_Groups_Ozero__class_Ozero(_u2974)), _u2975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2974), _u2976), _u2977)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u2978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2978), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2978), _u2979), _u2980)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2978), _u2979), _u2981))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2978), c_Groups_Ozero__class_Ozero(_u2978)), _u2979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2978), _u2980), _u2981)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2982) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2982), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2982), _u2983), _u2984)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2982), _u2985), _u2984))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2982), c_Groups_Ozero__class_Ozero(_u2982)), _u2984)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2982), _u2983), _u2985)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u2986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2986), _u2987), _u2988)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2986), _u2989), _u2988))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2986), c_Groups_Ozero__class_Ozero(_u2986)), _u2988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2986), _u2987), _u2989)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2990) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2990), _u2991), _u2992)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2990), _u2993), _u2994)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2990), c_Groups_Ozero__class_Ozero(_u2990)), _u2991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2990), c_Groups_Ozero__class_Ozero(_u2990)), _u2993)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2990), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2990), _u2991), _u2993)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2990), _u2992), _u2994))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2995) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2995), _u2996), _u2997)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2995), _u2998), _u2999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2995), c_Groups_Ozero__class_Ozero(_u2995)), _u2996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2995), c_Groups_Ozero__class_Ozero(_u2995)), _u2998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2995), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2995), _u2996), _u2998)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2995), _u2997), _u2999))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3000) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3000), _u3001), _u3002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3000), _u3003), _u3004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3000), c_Groups_Ozero__class_Ozero(_u3000)), _u3001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3000), c_Groups_Ozero__class_Ozero(_u3000)), _u3003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3000), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3000), _u3001), _u3003)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3000), _u3002), _u3004))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3005), _u3006), _u3007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3005), _u3008), _u3009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3005), c_Groups_Ozero__class_Ozero(_u3005)), _u3007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3005), c_Groups_Ozero__class_Ozero(_u3005)), _u3008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3005), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3005), _u3006), _u3008)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3005), _u3007), _u3009))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3010), _u3011), c_Groups_Ozero__class_Ozero(_u3010))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3010), _u3011), _u3012)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3010), _u3011), _u3013))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3010), _u3013), _u3012)) )).
% 27.66/27.86 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3010), _u3011), c_Groups_Ozero__class_Ozero(_u3010))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3010), _u3013), _u3012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3010), _u3011), _u3012)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3010), _u3011), _u3013))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3014), c_Groups_Ozero__class_Ozero(_u3014)), _u3015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3014), _u3015), _u3016)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3014), _u3015), _u3017))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), _u3016), _u3017)) )).
% 27.66/27.86 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3014), c_Groups_Ozero__class_Ozero(_u3014)), _u3015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), _u3016), _u3017)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3014), _u3015), _u3016)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3014), _u3015), _u3017))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u3018) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3018), c_Groups_Ozero__class_Ozero(_u3018)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3018), _u3019), _u3019)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3018), _u3020), _u3020)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3021) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3021), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3021), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3021), _u3022), _u3022)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3021), _u3023), _u3023))), c_Groups_Ozero__class_Ozero(_u3021))) | ( _u3022 = c_Groups_Ozero__class_Ozero(_u3021)) )).
% 27.66/27.86 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3021) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3021), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3021), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3021), _u3022), _u3022)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3021), _u3023), _u3023))), c_Groups_Ozero__class_Ozero(_u3021))) | ( _u3023 = c_Groups_Ozero__class_Ozero(_u3021)) )).
% 27.66/27.86 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3021) | ( _u3022 != c_Groups_Ozero__class_Ozero(_u3021)) | ( _u3023 != c_Groups_Ozero__class_Ozero(_u3021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3021), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3021), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3021), _u3022), _u3022)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3021), _u3023), _u3023))), c_Groups_Ozero__class_Ozero(_u3021))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u3024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3024), c_Groups_Ozero__class_Ozero(_u3024)), _u3025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3024), c_Groups_Ozero__class_Ozero(_u3024)), _u3026)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3024), _u3026), c_Groups_Oone__class_Oone(_u3024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3024), _u3026), _u3025)), _u3025)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u3027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3027), c_Groups_Ozero__class_Ozero(_u3027)), _u3028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3027), c_Groups_Ozero__class_Ozero(_u3027)), _u3029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3027), _u3029), c_Groups_Oone__class_Oone(_u3027))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3027), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3027), _u3028), _u3029)), _u3028)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u3030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3030), c_Groups_Osgn__class_Osgn(_u3030, _u3031)), c_Groups_Ozero__class_Ozero(_u3030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3030), _u3031), c_Groups_Ozero__class_Ozero(_u3030))) )).
% 27.66/27.86 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u3030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3030), _u3031), c_Groups_Ozero__class_Ozero(_u3030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3030), c_Groups_Osgn__class_Osgn(_u3030, _u3031)), c_Groups_Ozero__class_Ozero(_u3030))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u3032) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3032), c_Groups_Ozero__class_Ozero(_u3032)), c_Groups_Osgn__class_Osgn(_u3032, _u3033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3032), c_Groups_Ozero__class_Ozero(_u3032)), _u3033)) )).
% 27.66/27.86 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u3032) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3032), c_Groups_Ozero__class_Ozero(_u3032)), _u3033)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3032), c_Groups_Ozero__class_Ozero(_u3032)), c_Groups_Osgn__class_Osgn(_u3032, _u3033))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 27.66/27.86 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))), _u3034)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3035)) | 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), _u3035), _u3034))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 27.66/27.86 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))), _u3036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3036), _u3037))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 27.66/27.86 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))), _u3038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3038), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3039), _u3038))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_int__le__0__conv ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3041)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3041 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_int__le__0__conv-2, axiom, ( ( _u3042 != 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), _u3042)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__0__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__0__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u3044) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3044), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_nat__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3045), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u3045) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__le__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__le__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3046), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u3046) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3048)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3048)) )).
% 27.66/27.86 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)), _u3049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3049)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__0__le ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3050)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u3050)) = _u3050) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_int__eq__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_int__eq__iff-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3053) != _u3055) | ( _u3053 = hAPP(c_Int_Onat, _u3055)) )).
% 27.66/27.86 cnf(fact_int__eq__iff-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3053) != _u3055) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3055)) )).
% 27.66/27.86 cnf(fact_int__eq__iff-3, axiom, ( ( _u3054 != hAPP(c_Int_Onat, _u3056)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3056)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3054) = _u3056) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_int__nat__eq ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3058)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u3058)) = _u3058) )).
% 27.66/27.86 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)), _u3059)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u3059)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zle__add1__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3062), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3064), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3062), _u3064)) )).
% 27.66/27.86 cnf(fact_zle__add1__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3063), _u3065)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3063), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3065), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3068), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3068), _u3070)) )).
% 27.66/27.86 cnf(fact_add1__zle__eq-2, axiom, ( ~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), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3069), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3071)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3072), _u3073)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3072), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3073)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_int__zle__neg ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3076)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3078)))) | ( _u3076 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 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), _u3076)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3078)))) | ( _u3078 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_int__zle__neg-3, axiom, ( ( _u3077 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3079 != 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), _u3077)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3079)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_negative__zle__0 ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3080))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u3081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3081), _u3082), _u3083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3081), _u3084), _u3083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3081), c_Groups_Ozero__class_Ozero(_u3081)), _u3085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3081), c_Groups_Ozero__class_Ozero(_u3081)), _u3086)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3081), _u3085), _u3086) != c_Groups_Oone__class_Oone(_u3081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3081), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3081), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3081), _u3085), _u3082)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3081), _u3086), _u3084))), _u3083)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_transfer__nat__int__relations_I2_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3087)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3087)), hAPP(c_Int_Onat, _u3088))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3087), _u3088)) )).
% 27.66/27.86 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)), _u3087)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3087), _u3088)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3087)), hAPP(c_Int_Onat, _u3088))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__less__eq__zless ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3089)), hAPP(c_Int_Onat, _u3090))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3089), _u3090)) )).
% 27.66/27.86 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)), _u3089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3089), _u3090)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3089)), hAPP(c_Int_Onat, _u3090))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__eq__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__eq__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u3093) != _u3095) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3093)) | ( _u3093 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3095)) )).
% 27.66/27.86 cnf(fact_nat__eq__iff-2, axiom, ( ( hAPP(c_Int_Onat, _u3093) != _u3095) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3093)) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_nat__eq__iff-3, axiom, ( ( hAPP(c_Int_Onat, _u3094) = _u3096) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3094)) | ( _u3096 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_nat__eq__iff-4, axiom, ( ( hAPP(c_Int_Onat, _u3094) = _u3096) | ( _u3094 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3094)) )).
% 27.66/27.86 cnf(fact_nat__eq__iff-5, axiom, ( ( hAPP(c_Int_Onat, _u3094) = _u3096) | ( _u3094 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3096)) | ( _u3096 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__eq__iff2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__eq__iff2-1, axiom, ( ( _u3099 != hAPP(c_Int_Onat, _u3101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3101)) | ( _u3101 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3099)) )).
% 27.66/27.86 cnf(fact_nat__eq__iff2-2, axiom, ( ( _u3099 != hAPP(c_Int_Onat, _u3101)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3101)) | ( _u3099 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_nat__eq__iff2-3, axiom, ( ( _u3100 = hAPP(c_Int_Onat, _u3102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3102)) | ( _u3100 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_nat__eq__iff2-4, axiom, ( ( _u3100 = hAPP(c_Int_Onat, _u3102)) | ( _u3102 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3100)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3102)) )).
% 27.66/27.86 cnf(fact_nat__eq__iff2-5, axiom, ( ( _u3100 = hAPP(c_Int_Onat, _u3102)) | ( _u3102 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3100)) | ( _u3100 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3104)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3103)), hAPP(c_Int_Onat, _u3104)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3103), _u3104))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__add__distrib ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3106)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3105), _u3106)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3105)), hAPP(c_Int_Onat, _u3106))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3107)) | 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)), _u3107))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_not__zle__0__negative ( axiom ) converted to clauses:
% 27.66/27.86 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, _u3108))))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_of__nat__nat ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_of__nat__nat-1, axiom, ( ~class_Rings_Oring__1(_u3109) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3110)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3109), hAPP(c_Int_Onat, _u3110)) = hAPP(c_Int_Oring__1__class_Oof__int(_u3109), _u3110)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u3111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3111), c_Groups_Ozero__class_Ozero(_u3111)), _u3112)) | ( c_Groups_Osgn__class_Osgn(_u3111, _u3112) = c_Groups_Oone__class_Oone(_u3111)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3113)) | ( _u3113 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3114), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3113), _u3115))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3114), _u3113)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3115)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3116)) | ( _u3116 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3116), _u3118))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3118), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3119), _u3120)), _u3121) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3122), _u3123)), _u3124)) | ~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), _u3122), _u3123)), _u3124)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3121), _u3119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3124)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3122)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3122), _u3119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3123), _u3120)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3125), _u3126)), _u3127)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3125), _u3128)), _u3129))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3129), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3125), _u3129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3125), _u3127)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3128), _u3126)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3130), _u3131)), _u3132) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3133), _u3134)), _u3135)) | ~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), _u3133), _u3134)), _u3135))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3135), _u3133)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3133)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3133), _u3130)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3131), _u3134)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3136), _u3137)), _u3138)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3136), _u3139)), _u3140))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3138), _u3136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3140), _u3136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3137), _u3139)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3141), _u3142)), _u3143)), 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)), _u3143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3142), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3144), _u3145)), _u3146))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3146), _u3144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3145)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3147)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3147), _u3148)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3147), _u3149))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3148), _u3149)) )).
% 27.66/27.86 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)), _u3147)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3148), _u3149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3147), _u3148)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3147), _u3149))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3150), _u3151)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3151), _u3150)) | ( _u3150 = _u3151) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3152), _u3153)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3153), _u3154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3152), _u3154)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_eq__imp__le-1, axiom, ( ( _u3155 != _u3156) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3155), _u3156)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__le__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3157), _u3158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3158), _u3157)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3159), _u3159)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u3160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3161, _u3160)), _u3162), _u3163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3161, _u3160)), _u3162), _u3163)) )).
% 27.66/27.86 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u3160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3161, _u3160)), _u3162), _u3163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3161, _u3160)), _u3163), _u3162)) )).
% 27.66/27.86 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u3160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3161, _u3160)), _u3162), _u3163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3161, _u3160)), _u3163), _u3162)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3161, _u3160)), _u3162), _u3163)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3167), _u3169) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3167), _u3171)) | ( _u3167 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3169 = _u3171) )).
% 27.66/27.86 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3168), _u3170) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3168), _u3172)) | ( _u3168 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3168), _u3170) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3168), _u3172)) | ( _u3170 != _u3172) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3173), _u3174)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3175), _u3174)), _u3176)) = 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), _u3173), _u3175)), _u3174)), _u3176)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3177)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3177), _u3178) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3177), _u3179)) | ( _u3178 = _u3179) )).
% 27.66/27.86 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)), _u3177)) | ( _u3178 != _u3179) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3177), _u3178) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3177), _u3179)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3180), _u3181)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3180), _u3182))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3181), _u3182)) )).
% 27.66/27.86 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)), _u3180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3181), _u3182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3180), _u3181)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3180), _u3182))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_transfer__morphism__nat__int ( axiom ) converted to clauses:
% 27.66/27.86 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))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3183), _u3184), _u3185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3183), hAPP(c_Groups_Ouminus__class_Ouminus(_u3183), _u3185)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3183), _u3184))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3186), hAPP(c_Groups_Ouminus__class_Ouminus(_u3186), _u3187)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3186), _u3188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3186), _u3188), _u3187)) )).
% 27.66/27.86 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u3186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3186), _u3188), _u3187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3186), hAPP(c_Groups_Ouminus__class_Ouminus(_u3186), _u3187)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3186), _u3188))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_ex__least__nat__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_ex__least__nat__less-1, axiom, ( hBOOL(hAPP(_u3191, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3191, _u3192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem53(_u3192, _u3191)), _u3192)) )).
% 27.66/27.86 cnf(fact_ex__least__nat__less-2, axiom, ( hBOOL(hAPP(_u3191, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3191, _u3192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3189), skolem53(_u3192, _u3191))) | ~hBOOL(hAPP(_u3191, _u3189)) )).
% 27.66/27.86 cnf(fact_ex__least__nat__less-3, axiom, ( hBOOL(hAPP(_u3191, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3191, _u3192)) | hBOOL(hAPP(_u3191, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem53(_u3192, _u3191)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u3204, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3206, _u3208))) | ( _u3208 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3204, _u3206)) )).
% 27.66/27.86 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u3204, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3206, _u3208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3193), _u3208)) | ( _u3206 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3208), _u3194)), _u3193)) | hBOOL(hAPP(_u3204, _u3193)) )).
% 27.66/27.86 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u3204, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3206, _u3208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3208), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3208), _u3195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3195), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3206 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3208), _u3196)), _u3195)) | hBOOL(hAPP(_u3204, _u3195)) )).
% 27.66/27.86 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = 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)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = 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)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = 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)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = 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)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = 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)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.66/27.86 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3211)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3211), _u3212)) | 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), _u3212), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3213, _u3210))), _u3211))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3214)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3215), _u3216)) | 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), _u3216), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3217, _u3214))), _u3215)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3216), _u3214))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3218)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3219), _u3220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3220), 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), _u3219), _u3218)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3219), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3221, _u3218))), _u3220))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u3222) | ( c_Divides_Odiv__class_Omod(_u3222, c_Divides_Odiv__class_Omod(_u3222, _u3223, _u3224), _u3224) = c_Divides_Odiv__class_Omod(_u3222, _u3223, _u3224)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3225) | ( c_Divides_Odiv__class_Omod(_u3225, c_Groups_Ozero__class_Ozero(_u3225), _u3226) = c_Groups_Ozero__class_Ozero(_u3225)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3227) | ( c_Divides_Odiv__class_Omod(_u3227, _u3228, c_Groups_Ozero__class_Ozero(_u3227)) = _u3228) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u3229) | ( c_Divides_Odiv__class_Omod(_u3229, _u3230, _u3230) = c_Groups_Ozero__class_Ozero(_u3229)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u3231) | ( c_Divides_Odiv__class_Omod(_u3231, _u3232, _u3233) != c_Divides_Odiv__class_Omod(_u3231, _u3234, _u3233)) | ( c_Divides_Odiv__class_Omod(_u3231, _u3235, _u3233) != c_Divides_Odiv__class_Omod(_u3231, _u3236, _u3233)) | ( c_Divides_Odiv__class_Omod(_u3231, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3231), _u3232), _u3235), _u3233) = c_Divides_Odiv__class_Omod(_u3231, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3231), _u3234), _u3236), _u3233)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u3237) | ( c_Divides_Odiv__class_Omod(_u3237, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3237), c_Divides_Odiv__class_Omod(_u3237, _u3238, _u3239)), _u3240), _u3239) = c_Divides_Odiv__class_Omod(_u3237, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3237), _u3238), _u3240), _u3239)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u3241) | ( c_Divides_Odiv__class_Omod(_u3241, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3241), _u3242), c_Divides_Odiv__class_Omod(_u3241, _u3243, _u3244)), _u3244) = c_Divides_Odiv__class_Omod(_u3241, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3241), _u3242), _u3243), _u3244)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u3245) | ( c_Divides_Odiv__class_Omod(_u3245, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3245), _u3246), _u3247), _u3248) = c_Divides_Odiv__class_Omod(_u3245, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3245), c_Divides_Odiv__class_Omod(_u3245, _u3246, _u3248)), c_Divides_Odiv__class_Omod(_u3245, _u3247, _u3248)), _u3248)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u3249) | ( c_Divides_Odiv__class_Omod(_u3249, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3249), _u3250), _u3251), _u3252) = c_Divides_Odiv__class_Omod(_u3249, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3249), c_Divides_Odiv__class_Omod(_u3249, _u3250, _u3252)), _u3251), _u3252)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u3253) | ( c_Divides_Odiv__class_Omod(_u3253, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3253), _u3254), _u3255), _u3256) = c_Divides_Odiv__class_Omod(_u3253, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3253), _u3254), c_Divides_Odiv__class_Omod(_u3253, _u3255, _u3256)), _u3256)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3257) | ( c_Divides_Odiv__class_Omod(_u3257, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3257), _u3258), _u3259), _u3258) = c_Divides_Odiv__class_Omod(_u3257, _u3259, _u3258)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3260) | ( c_Divides_Odiv__class_Omod(_u3260, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3260), _u3261), _u3262), _u3262) = c_Divides_Odiv__class_Omod(_u3260, _u3261, _u3262)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u3263) | ( c_Divides_Odiv__class_Omod(_u3263, _u3264, _u3265) != c_Divides_Odiv__class_Omod(_u3263, _u3266, _u3265)) | ( c_Divides_Odiv__class_Omod(_u3263, _u3267, _u3265) != c_Divides_Odiv__class_Omod(_u3263, _u3268, _u3265)) | ( c_Divides_Odiv__class_Omod(_u3263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3263), _u3264), _u3267), _u3265) = c_Divides_Odiv__class_Omod(_u3263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3263), _u3266), _u3268), _u3265)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u3269) | ( c_Divides_Odiv__class_Omod(_u3269, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3269), c_Divides_Odiv__class_Omod(_u3269, _u3270, _u3271)), _u3272), _u3271) = c_Divides_Odiv__class_Omod(_u3269, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3269), _u3270), _u3272), _u3271)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u3273) | ( c_Divides_Odiv__class_Omod(_u3273, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3273), _u3274), _u3275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3273), _u3276), _u3275)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3273), c_Divides_Odiv__class_Omod(_u3273, _u3274, _u3276)), _u3275)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u3277) | ( c_Divides_Odiv__class_Omod(_u3277, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3277), _u3278), _u3279), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3277), _u3278), _u3280)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3277), _u3278), c_Divides_Odiv__class_Omod(_u3277, _u3279, _u3280))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u3281) | ( c_Divides_Odiv__class_Omod(_u3281, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3281), _u3282), _u3283), _u3284) = c_Divides_Odiv__class_Omod(_u3281, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3281), c_Divides_Odiv__class_Omod(_u3281, _u3282, _u3284)), c_Divides_Odiv__class_Omod(_u3281, _u3283, _u3284)), _u3284)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u3285) | ( c_Divides_Odiv__class_Omod(_u3285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3285), _u3286), _u3287), _u3288) = c_Divides_Odiv__class_Omod(_u3285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3285), c_Divides_Odiv__class_Omod(_u3285, _u3286, _u3288)), _u3287), _u3288)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u3289) | ( c_Divides_Odiv__class_Omod(_u3289, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3289), _u3290), _u3291), _u3292) = c_Divides_Odiv__class_Omod(_u3289, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3289), _u3290), c_Divides_Odiv__class_Omod(_u3289, _u3291, _u3292)), _u3292)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__minus__cong ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__minus__cong-1, axiom, ( ~class_Divides_Oring__div(_u3293) | ( c_Divides_Odiv__class_Omod(_u3293, _u3294, _u3295) != c_Divides_Odiv__class_Omod(_u3293, _u3296, _u3295)) | ( c_Divides_Odiv__class_Omod(_u3293, hAPP(c_Groups_Ouminus__class_Ouminus(_u3293), _u3294), _u3295) = c_Divides_Odiv__class_Omod(_u3293, hAPP(c_Groups_Ouminus__class_Ouminus(_u3293), _u3296), _u3295)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__minus__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__minus__eq-1, axiom, ( ~class_Divides_Oring__div(_u3297) | ( c_Divides_Odiv__class_Omod(_u3297, hAPP(c_Groups_Ouminus__class_Ouminus(_u3297), _u3298), _u3299) = c_Divides_Odiv__class_Omod(_u3297, hAPP(c_Groups_Ouminus__class_Ouminus(_u3297), c_Divides_Odiv__class_Omod(_u3297, _u3298, _u3299)), _u3299)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3300) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3301, _u3301) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3302), _u3303), _u3304) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3302), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3303, _u3304)), _u3304)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3305), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3306, _u3307)), _u3307) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3305), _u3306), _u3307)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__zminus2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmod__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3308, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3309)) = 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), _u3308), _u3309))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__zminus__zminus ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmod__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3310), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3311)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3310, _u3311))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zminus__zmod ( axiom ) converted to clauses:
% 27.66/27.86 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, _u3312, _u3313)), _u3313) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3312), _u3313)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3314) | ( c_Divides_Odiv__class_Omod(_u3314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3314), _u3315), _u3316), _u3316) = c_Groups_Ozero__class_Ozero(_u3314)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3317) | ( c_Divides_Odiv__class_Omod(_u3317, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3317), _u3318), _u3319), _u3318) = c_Groups_Ozero__class_Ozero(_u3317)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3320) | ( c_Divides_Odiv__class_Omod(_u3320, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3320), _u3321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3320), _u3322), _u3323)), _u3323) = c_Divides_Odiv__class_Omod(_u3320, _u3321, _u3323)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3324) | ( c_Divides_Odiv__class_Omod(_u3324, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3324), _u3325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3324), _u3326), _u3327)), _u3326) = c_Divides_Odiv__class_Omod(_u3324, _u3325, _u3326)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u3328) | ( c_Divides_Odiv__class_Omod(_u3328, _u3329, c_Groups_Oone__class_Oone(_u3328)) = c_Groups_Ozero__class_Ozero(_u3328)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3330, _u3331)), _u3330)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3333)) | 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, _u3332, _u3333))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_neg__mod__bound-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3334), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3334), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3335, _u3334))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3337, _u3336)), _u3336)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3342, _u3344) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3342 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3344), skolem58(_u3344, _u3342))) )).
% 27.66/27.86 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u3343 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3345), _u3339)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3343, _u3345) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__zminus2__not__zero ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmod__zminus2__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3346, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3347)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3346, _u3347) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__zminus1__not__zero ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3348), _u3349) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3348, _u3349) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3350), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3351), _u3350)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3350, _u3351) = _u3350) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_neg__mod__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3352), 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, _u3353, _u3352)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_neg__mod__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3352), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3352), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3353, _u3352))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_neg__mod__sign-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3354), 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, _u3355, _u3354)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3356)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3356), _u3357)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3356, _u3357) = _u3356) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3358)) | 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, _u3359, _u3358))) )).
% 27.66/27.86 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)), _u3358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3359, _u3358)), _u3358)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3360)) | 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, _u3361, _u3360))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3362) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3362), _u3363), _u3363) = _u3363) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3364) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3364), _u3365), _u3365) = _u3365) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3366) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3366), _u3367), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3366), _u3367), _u3368)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3366), _u3367), _u3368)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3369) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3369), hAPP(c_Groups_Ouminus__class_Ouminus(_u3369), _u3370)) = _u3370) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u3371) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3372, _u3371)), _u3373), _u3374) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3371), hAPP(_u3373, _u3374))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3375) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3375), _u3376) != hAPP(c_Groups_Ouminus__class_Ouminus(_u3375), _u3377)) | ( _u3376 = _u3377) )).
% 27.66/27.86 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u3375) | ( _u3376 != _u3377) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3375), _u3376) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3375), _u3377)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3378), _u3379)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3378, _u3379) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3378), _u3379)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u3380 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3381), _u3382)), _u3383)) | ( _u3381 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3380, _u3381) = _u3383) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3381), _u3383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3383), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u3380 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3381), _u3382)), _u3383)) | ( _u3381 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3380, _u3381) = _u3383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3383), _u3381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3381)) )).
% 27.66/27.86 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u3380 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3381), _u3382)), _u3383)) | ( _u3381 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3380, _u3381) = _u3383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3383), _u3381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3381), _u3383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3383), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3384)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3385), _u3386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3386), 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), _u3385), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3387, _u3384))), _u3386)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_z3mod__def ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3390)) | ( c_SMT_Oz3mod(_u3392, _u3390) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3392, _u3390)) )).
% 27.66/27.86 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)), _u3391)) | ( c_SMT_Oz3mod(_u3393, _u3391) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3393, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3391))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_split__pos__lemma ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3398)) | ~hBOOL(hAPP(hAPP(_u3399, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3400), _u3398)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3400, _u3398))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3394), _u3398)) | ( _u3400 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3398), _u3395)), _u3394)) | hBOOL(hAPP(hAPP(_u3399, _u3395), _u3394)) )).
% 27.66/27.86 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)), _u3398)) | hBOOL(hAPP(hAPP(_u3399, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3400), _u3398)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3400, _u3398))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem60(_u3400, _u3399, _u3398))) )).
% 27.66/27.86 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)), _u3398)) | hBOOL(hAPP(hAPP(_u3399, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3400), _u3398)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3400, _u3398))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem60(_u3400, _u3399, _u3398)), _u3398)) )).
% 27.66/27.86 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)), _u3398)) | hBOOL(hAPP(hAPP(_u3399, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3400), _u3398)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3400, _u3398))) | ( _u3400 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3398), skolem59(_u3400, _u3399, _u3398))), skolem60(_u3400, _u3399, _u3398))) )).
% 27.66/27.86 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)), _u3398)) | hBOOL(hAPP(hAPP(_u3399, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3400), _u3398)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3400, _u3398))) | ~hBOOL(hAPP(hAPP(_u3399, skolem59(_u3400, _u3399, _u3398)), skolem60(_u3400, _u3399, _u3398))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_split__neg__lemma ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_split__neg__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u3406, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3407), _u3405)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3407, _u3405))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), _u3401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3401), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3407 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3405), _u3402)), _u3401)) | hBOOL(hAPP(hAPP(_u3406, _u3402), _u3401)) )).
% 27.66/27.86 cnf(fact_split__neg__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3406, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3407), _u3405)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3407, _u3405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), skolem62(_u3407, _u3406, _u3405))) )).
% 27.66/27.86 cnf(fact_split__neg__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3406, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3407), _u3405)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3407, _u3405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem62(_u3407, _u3406, _u3405)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_split__neg__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3406, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3407), _u3405)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3407, _u3405))) | ( _u3407 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3405), skolem61(_u3407, _u3406, _u3405))), skolem62(_u3407, _u3406, _u3405))) )).
% 27.66/27.86 cnf(fact_split__neg__lemma-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3406, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3407), _u3405)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3407, _u3405))) | ~hBOOL(hAPP(hAPP(_u3406, skolem61(_u3407, _u3406, _u3405)), skolem62(_u3407, _u3406, _u3405))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__zmult2__eq ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3408)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3409, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3410), _u3408)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3410), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3409), _u3410), _u3408))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3409, _u3410))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u3411, _u3412))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_divmod__int__rel__div__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_divmod__int__rel__div__eq-1, axiom, ( ( _u3413 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3414), _u3415)), _u3416)) | ( _u3414 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3413), _u3414) = _u3415) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3414), _u3416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3416), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_divmod__int__rel__div__eq-2, axiom, ( ( _u3413 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3414), _u3415)), _u3416)) | ( _u3414 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3413), _u3414) = _u3415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3416), _u3414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3414)) )).
% 27.66/27.86 cnf(fact_divmod__int__rel__div__eq-3, axiom, ( ( _u3413 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3414), _u3415)), _u3416)) | ( _u3414 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3413), _u3414) = _u3415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3416), _u3414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3414), _u3416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3416), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_split__zdiv ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_split__zdiv-1, axiom, ( ~hBOOL(hAPP(_u3428, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3430), _u3432))) | ( _u3432 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3428, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_split__zdiv-2, axiom, ( ~hBOOL(hAPP(_u3428, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3430), _u3432))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3417), _u3432)) | ( _u3430 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3432), _u3418)), _u3417)) | hBOOL(hAPP(_u3428, _u3418)) )).
% 27.66/27.86 cnf(fact_split__zdiv-3, axiom, ( ~hBOOL(hAPP(_u3428, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3430), _u3432))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3432), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3432), _u3419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3419), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3430 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3432), _u3420)), _u3419)) | hBOOL(hAPP(_u3428, _u3420)) )).
% 27.66/27.86 cnf(fact_split__zdiv-4, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-5, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = 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(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-6, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-7, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-8, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-9, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-10, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, 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(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-11, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-12, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-13, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-14, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-15, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = 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(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-16, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-17, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-18, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-19, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-20, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = 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(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-21, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-22, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-23, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-24, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-25, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = 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(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-26, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-27, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-28, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-29, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-30, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ( _u3433 = 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(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-31, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-32, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-33, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-34, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-35, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, 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(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-36, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-37, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-38, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-39, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-40, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, 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(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-41, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-42, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-43, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-44, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-45, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, 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(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-46, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-47, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-48, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-49, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-50, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, 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(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-51, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.66/27.86 cnf(fact_split__zdiv-52, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.66/27.86 cnf(fact_split__zdiv-53, axiom, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_split__div_H ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_split__div_H-1, axiom, ( ~hBOOL(hAPP(_u3439, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3441), _u3443))) | ( _u3443 = 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), _u3443), skolem67(_u3443, _u3441, _u3439))), _u3441)) )).
% 27.66/27.86 cnf(fact_split__div_H-2, axiom, ( ~hBOOL(hAPP(_u3439, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3441), _u3443))) | ( _u3443 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3443), hAPP(c_Nat_OSuc, skolem67(_u3443, _u3441, _u3439))))) )).
% 27.66/27.86 cnf(fact_split__div_H-3, axiom, ( ~hBOOL(hAPP(_u3439, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3441), _u3443))) | ( _u3443 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3439, skolem67(_u3443, _u3441, _u3439))) )).
% 27.66/27.86 cnf(fact_split__div_H-4, axiom, ( ~hBOOL(hAPP(_u3439, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3441), _u3443))) | hBOOL(hAPP(_u3439, 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), _u3443), skolem67(_u3443, _u3441, _u3439))), _u3441)) )).
% 27.66/27.86 cnf(fact_split__div_H-5, axiom, ( ~hBOOL(hAPP(_u3439, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3441), _u3443))) | hBOOL(hAPP(_u3439, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3443), hAPP(c_Nat_OSuc, skolem67(_u3443, _u3441, _u3439))))) )).
% 27.66/27.86 cnf(fact_split__div_H-6, axiom, ( ~hBOOL(hAPP(_u3439, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3441), _u3443))) | hBOOL(hAPP(_u3439, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u3439, skolem67(_u3443, _u3441, _u3439))) )).
% 27.66/27.86 cnf(fact_split__div_H-7, axiom, ( hBOOL(hAPP(_u3440, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3442), _u3444))) | ( _u3444 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3440, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.86 cnf(fact_split__div_H-8, axiom, ( hBOOL(hAPP(_u3440, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3442), _u3444))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3444), _u3435)), _u3442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3442), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3444), hAPP(c_Nat_OSuc, _u3435)))) | ~hBOOL(hAPP(_u3440, _u3435)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__add1__eq ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3445), _u3446)), _u3447) = 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), _u3445), _u3447)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3446), _u3447))), 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, _u3445, _u3447)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3446, _u3447))), _u3447))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__int ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3448), _u3449)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3448)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3449))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Divides_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3450)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3451)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3450), _u3451))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mult1__eq ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3452), _u3453)), _u3454) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3453), _u3454))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3453, _u3454))), _u3454))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult2__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3455, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3456), _u3457)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3456), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3455), _u3456), _u3457))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3455, _u3456))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__le__dividend ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3458), _u3459)), _u3458)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__le__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3460), _u3461)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3460), _u3462)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3461), _u3462))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__zero ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zdiv__zero-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3463) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3464), _u3465) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3464, _u3465)), _u3465)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mult2__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__mult2__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3467), _u3468)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3466), _u3467)), _u3468)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3469), _u3470)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3469, _u3470) = _u3469) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 27.66/27.86 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, _u3471, _u3472)), _u3471)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3473), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3474, _u3475)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3473), _u3474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3473), _u3475))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 27.66/27.86 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, _u3476, _u3477)), _u3478) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3476), _u3478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3477), _u3478))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__zminus__zminus ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3479)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3480)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3479), _u3480)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__zminus2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zdiv__zminus2-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3481), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3482)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3481)), _u3482)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3483) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3483), c_Groups_Ozero__class_Ozero(_u3483)), _u3484) = c_Groups_Ozero__class_Ozero(_u3483)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__by__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3485) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3485), _u3486), c_Groups_Ozero__class_Ozero(_u3485)) = c_Groups_Ozero__class_Ozero(_u3485)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u3487) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3487), _u3488), c_Groups_Oone__class_Oone(_u3487)) = _u3488) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__div__distrib ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3489)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3489), _u3490)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3489)), hAPP(c_Int_Onat, _u3490))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Divides_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3492)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3491)), hAPP(c_Int_Onat, _u3492)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3491), _u3492))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__1-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3493), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u3493) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3494), _u3495)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3494), _u3495) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__mult__div__cancel__disj ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__mult__div__cancel__disj-1, axiom, ( ( _u3499 != 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), _u3499), _u3501)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3499), _u3503)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_nat__mult__div__cancel__disj-2, axiom, ( ( _u3500 = 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), _u3500), _u3502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3500), _u3504)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3502), _u3504)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3505, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__Suc-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3508, _u3510)) != _u3510) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3508), _u3510) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_mod__Suc-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3509, _u3511)) = _u3511) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3509), _u3511) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3509, _u3511))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3512)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3513)) | 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), _u3512), _u3513))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3515, _u3514)), _u3514)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_pos__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3517), _u3516)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 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)), _u3516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3517), 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), _u3517), _u3516)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_neg__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_neg__imp__zdiv__neg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3518), 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), _u3519), _u3518)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3519)) )).
% 27.66/27.86 cnf(fact_neg__imp__zdiv__neg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3518), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3519), _u3518)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__neg__pos__less0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__neg__pos__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3520), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3520), _u3521)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zdiv__self-1, axiom, ( ( _u3522 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3522), _u3522) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3527, _u3529) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3527 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3529), skolem68(_u3529, _u3527))) )).
% 27.66/27.86 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u3528 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3530), _u3524)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3528, _u3530) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3532), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3533, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u3533) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 27.66/27.86 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, _u3534, _u3535)), _u3535) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3536), _u3537)), _u3538), _u3537) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3538, _u3537)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3539), _u3540)), _u3541) = 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), _u3539), _u3541)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3540), _u3541))), 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, _u3539, _u3541)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3540, _u3541))), _u3541))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__int ( axiom ) converted to clauses:
% 27.66/27.86 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, _u3542, _u3543)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3542), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3543))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Divides_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3544), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3545)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3544, _u3545))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mult__mult1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u3546) | ( _u3547 = c_Groups_Ozero__class_Ozero(_u3546)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3546), _u3547), _u3548)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3546), _u3547), _u3549)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3546), _u3548), _u3549)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mult__mult2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u3550) | ( _u3551 = c_Groups_Ozero__class_Ozero(_u3550)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3550), _u3552), _u3551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3550), _u3553), _u3551)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3550), _u3552), _u3553)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mult__self1__is__id ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__mult__self1__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u3554) | ( _u3555 = c_Groups_Ozero__class_Ozero(_u3554)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3554), _u3555), _u3556)), _u3555) = _u3556) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mult__self2__is__id ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__mult__self2__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u3557) | ( _u3558 = c_Groups_Ozero__class_Ozero(_u3557)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3557), _u3559), _u3558)), _u3558) = _u3559) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mult__mult1__if ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__mult__mult1__if-1, axiom, ( ~class_Divides_Osemiring__div(_u3560) | ( _u3561 != c_Groups_Ozero__class_Ozero(_u3560)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3560), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3560), _u3561), _u3562)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3560), _u3561), _u3563)) = c_Groups_Ozero__class_Ozero(_u3560)) )).
% 27.66/27.86 cnf(fact_div__mult__mult1__if-2, axiom, ( ~class_Divides_Osemiring__div(_u3560) | ( _u3561 = c_Groups_Ozero__class_Ozero(_u3560)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3560), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3560), _u3561), _u3562)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3560), _u3561), _u3563)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3560), _u3562), _u3563)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__self ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u3564) | ( _u3565 = c_Groups_Ozero__class_Ozero(_u3564)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3564), _u3565), _u3565) = c_Groups_Oone__class_Oone(_u3564)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u3566) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3566), c_Divides_Odiv__class_Omod(_u3566, _u3567, _u3568)), _u3568) = c_Groups_Ozero__class_Ozero(_u3566)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__le__mono2 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3569)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3569), _u3570)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3571), _u3570)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3571), _u3569))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mult__self__is__m ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3572)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3573), _u3572)), _u3572) = _u3573) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mult__self1__is__m ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3574)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3574), _u3575)), _u3574) = _u3575) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__mult__div__cancel1 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3576)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3576), _u3577)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3576), _u3578)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3577), _u3578)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__less__dividend ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3580), _u3579)), _u3580)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3583), _u3585) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3585 = 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)), _u3583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3583), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3583), _u3585) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3585 = 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)), _u3583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3585), _u3583)) )).
% 27.66/27.86 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3583), _u3585) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3585 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3583), _u3585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3583), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3583), _u3585) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3585 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3583), _u3585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3585), _u3583)) )).
% 27.66/27.86 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3584), _u3586) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3586 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3584), _u3586) = 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)), _u3584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3584), _u3586)) )).
% 27.66/27.86 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3584), _u3586) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3584), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3586), _u3584)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3587)) | ~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), _u3588), _u3587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3588)) )).
% 27.66/27.86 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)), _u3587)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3588), _u3587))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3589)) | ~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), _u3590), _u3589))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3589), _u3590)) )).
% 27.66/27.86 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)), _u3589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3589), _u3590)) | 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), _u3590), _u3589))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3591)) | ~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), _u3591), _u3592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3592), _u3591)) )).
% 27.66/27.86 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)), _u3591)) | ~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), _u3591), _u3592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3592)) )).
% 27.66/27.86 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)), _u3591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3592), _u3591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3592)) | 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), _u3591), _u3592))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3594), _u3595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3593), _u3595)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3593), _u3594))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3597), 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), _u3596), _u3597)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3598), _u3599)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3598), _u3599) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3600), 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), _u3601), _u3600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3601), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3600), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3601), 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), _u3601), _u3600))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3602), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3602), _u3603)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zdiv__mono2__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3604), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3605), _u3606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3604), _u3605)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3604), _u3606))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3607), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3608), _u3607)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3607), _u3608) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zdiv__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3609), _u3610)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3609), _u3611)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3610), _u3611))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3612), _u3613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3614), 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), _u3613), _u3614)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3612), _u3614))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3616, _u3615)), _u3615)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3617)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3617), _u3618)), _u3617)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3619)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3621), _u3619)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3620), _u3621)), _u3619)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3622), _u3623)), _u3624)), _u3623) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3624), _u3623)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__zdiv__equality ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmod__zdiv__equality-1, axiom, ( ( _u3625 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3626), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3625), _u3626))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3625, _u3626))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__zmult1__eq ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3627), _u3628)), _u3629) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3627), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3628), _u3629))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3627), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3628, _u3629))), _u3629))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__zmod__equality ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3630), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3631), _u3630))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3631, _u3630))), _u3632) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3631), _u3632)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__zmod__equality2 ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3633), _u3634)), _u3634)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3633, _u3634))), _u3635) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3633), _u3635)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mult__self2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3636) | ( _u3637 = c_Groups_Ozero__class_Ozero(_u3636)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3636), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3636), _u3638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3636), _u3637), _u3639))), _u3637) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3636), _u3639), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3636), _u3638), _u3637))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mult__self1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3640) | ( _u3641 = c_Groups_Ozero__class_Ozero(_u3640)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3640), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3640), _u3642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3640), _u3643), _u3641))), _u3641) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3640), _u3643), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3640), _u3642), _u3641))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__add__self2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3644) | ( _u3645 = c_Groups_Ozero__class_Ozero(_u3644)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3644), _u3646), _u3645)), _u3645) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3644), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3644), _u3646), _u3645)), c_Groups_Oone__class_Oone(_u3644))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__add__self1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3647) | ( _u3648 = c_Groups_Ozero__class_Ozero(_u3647)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3647), _u3648), _u3649)), _u3648) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3647), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3647), _u3649), _u3648)), c_Groups_Oone__class_Oone(_u3647))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_semiring__div__class_Omod__div__equality_H ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_semiring__div__class_Omod__div__equality_H-1, axiom, ( ~class_Divides_Osemiring__div(_u3650) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3650), c_Divides_Odiv__class_Omod(_u3650, _u3651, _u3652)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3650), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3650), _u3651), _u3652)), _u3652)) = _u3651) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__div__equality2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__div__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u3653) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3653), _u3654), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3653), _u3655), _u3654))), c_Divides_Odiv__class_Omod(_u3653, _u3655, _u3654)) = _u3655) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__div__equality ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__div__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u3656) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3656), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3656), _u3657), _u3658)), _u3658)), c_Divides_Odiv__class_Omod(_u3656, _u3657, _u3658)) = _u3657) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mod__equality2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__mod__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u3659) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3659), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3659), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3659), _u3660), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3659), _u3661), _u3660))), c_Divides_Odiv__class_Omod(_u3659, _u3661, _u3660))), _u3662) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3659), _u3661), _u3662)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mod__equality ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__mod__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u3663) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3663), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3663), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3663), _u3664), _u3665)), _u3665)), c_Divides_Odiv__class_Omod(_u3663, _u3664, _u3665))), _u3666) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3663), _u3664), _u3666)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_split__div ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_split__div-1, axiom, ( ~hBOOL(hAPP(_u3674, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3676), _u3678))) | ( _u3678 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3674, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.86 cnf(fact_split__div-2, axiom, ( ~hBOOL(hAPP(_u3674, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3676), _u3678))) | ( _u3678 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3667), _u3678)) | ( _u3676 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3678), _u3668)), _u3667)) | hBOOL(hAPP(_u3674, _u3668)) )).
% 27.66/27.86 cnf(fact_split__div-3, axiom, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ( _u3679 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem70(_u3679, _u3677, _u3675)), _u3679)) )).
% 27.66/27.86 cnf(fact_split__div-4, axiom, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ( _u3679 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3677 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3679), skolem69(_u3679, _u3677, _u3675))), skolem70(_u3679, _u3677, _u3675))) )).
% 27.66/27.86 cnf(fact_split__div-5, axiom, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ( _u3679 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3675, skolem69(_u3679, _u3677, _u3675))) )).
% 27.66/27.86 cnf(fact_split__div-6, axiom, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ~hBOOL(hAPP(_u3675, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3679 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_split__div-7, axiom, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ~hBOOL(hAPP(_u3675, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem70(_u3679, _u3677, _u3675)), _u3679)) )).
% 27.66/27.86 cnf(fact_split__div-8, axiom, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ~hBOOL(hAPP(_u3675, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3677 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3679), skolem69(_u3679, _u3677, _u3675))), skolem70(_u3679, _u3677, _u3675))) )).
% 27.66/27.86 cnf(fact_split__div-9, axiom, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ~hBOOL(hAPP(_u3675, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3675, skolem69(_u3679, _u3677, _u3675))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_split__mod ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_split__mod-1, axiom, ( ~hBOOL(hAPP(_u3687, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3689, _u3691))) | ( _u3691 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3687, _u3689)) )).
% 27.66/27.86 cnf(fact_split__mod-2, axiom, ( ~hBOOL(hAPP(_u3687, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3689, _u3691))) | ( _u3691 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3680), _u3691)) | ( _u3689 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3691), _u3681)), _u3680)) | hBOOL(hAPP(_u3687, _u3680)) )).
% 27.66/27.86 cnf(fact_split__mod-3, axiom, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ( _u3692 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem72(_u3692, _u3690, _u3688)), _u3692)) )).
% 27.66/27.86 cnf(fact_split__mod-4, axiom, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ( _u3692 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3690 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3692), skolem71(_u3692, _u3690, _u3688))), skolem72(_u3692, _u3690, _u3688))) )).
% 27.66/27.86 cnf(fact_split__mod-5, axiom, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ( _u3692 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3688, skolem72(_u3692, _u3690, _u3688))) )).
% 27.66/27.86 cnf(fact_split__mod-6, axiom, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ~hBOOL(hAPP(_u3688, _u3690)) | ( _u3692 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_split__mod-7, axiom, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ~hBOOL(hAPP(_u3688, _u3690)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem72(_u3692, _u3690, _u3688)), _u3692)) )).
% 27.66/27.86 cnf(fact_split__mod-8, axiom, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ~hBOOL(hAPP(_u3688, _u3690)) | ( _u3690 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3692), skolem71(_u3692, _u3690, _u3688))), skolem72(_u3692, _u3690, _u3688))) )).
% 27.66/27.86 cnf(fact_split__mod-9, axiom, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ~hBOOL(hAPP(_u3688, _u3690)) | ~hBOOL(hAPP(_u3688, skolem72(_u3692, _u3690, _u3688))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__lemma ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3693)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3694), _u3695)) | 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), _u3695), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3696, _u3693))), _u3694)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3695), _u3693))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__times__mod__eq ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3697)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3697), _u3698)), _u3697) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__mod__distrib ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3700)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3699, _u3700)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3699), hAPP(c_Int_Onat, _u3700))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Divides_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3701)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3702)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3701), hAPP(c_Int_Onat, _u3702)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3701, _u3702))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_split__div__lemma ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3703), _u3704)), _u3705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3703), hAPP(c_Nat_OSuc, _u3704)))) | ( _u3704 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3705), _u3703)) )).
% 27.66/27.86 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)), _u3703)) | ( _u3704 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3705), _u3703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3703), _u3704)), _u3705)) )).
% 27.66/27.86 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)), _u3703)) | ( _u3704 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3705), _u3703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3703), hAPP(c_Nat_OSuc, _u3704)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_z3div__def ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3708)) | ( c_SMT_Oz3div(_u3710, _u3708) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3710), _u3708)) )).
% 27.66/27.86 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)), _u3709)) | ( c_SMT_Oz3div(_u3711, _u3709) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3711), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3709)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__zminus1__eq__if ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zdiv__zminus1__eq__if-1, axiom, ( ( _u3712 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3713, _u3712) != 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), _u3713)), _u3712) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3713), _u3712))) )).
% 27.66/27.86 cnf(fact_zdiv__zminus1__eq__if-2, axiom, ( ( _u3712 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3713, _u3712) = 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), _u3713)), _u3712) = 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), _u3713), _u3712))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiv__zminus2__eq__if ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zdiv__zminus2__eq__if-1, axiom, ( ( _u3714 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3715, _u3714) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3715), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3714)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3715), _u3714))) )).
% 27.66/27.86 cnf(fact_zdiv__zminus2__eq__if-2, axiom, ( ( _u3714 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3715, _u3714) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3715), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3714)) = 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), _u3715), _u3714))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__div__geq ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3716), _u3717)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3717), _u3716) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3717), _u3716)), _u3716))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__div__decomp ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__div__decomp-1, axiom, ( ~class_Divides_Osemiring__div(_u3718) | ( _u3719 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3718), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3718), _u3719), _u3720)), _u3720)), c_Divides_Odiv__class_Omod(_u3718, _u3719, _u3720))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3722)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3721)), hAPP(c_Int_Onat, _u3722)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u3721, _u3722))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_incr__mult__lemma ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3727)) | ~hBOOL(hAPP(_u3726, _u3724)) | hBOOL(hAPP(_u3726, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3727), _u3725)))) | hBOOL(hAPP(_u3726, skolem73(_u3727, _u3726, _u3725))) )).
% 27.66/27.86 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)), _u3725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3727)) | ~hBOOL(hAPP(_u3726, _u3724)) | hBOOL(hAPP(_u3726, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3727), _u3725)))) | ~hBOOL(hAPP(_u3726, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem73(_u3727, _u3726, _u3725)), _u3725))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3729), _u3730), _u3731)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3729), c_Groups_Ozero__class_Ozero(_u3729)), skolem74(_u3731, _u3730, _u3729))) )).
% 27.66/27.86 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3729), _u3730), _u3731)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3729), skolem74(_u3731, _u3730, _u3729)), c_Groups_Oone__class_Oone(_u3729))) )).
% 27.66/27.86 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3729), _u3730), _u3731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3729), skolem74(_u3731, _u3730, _u3729)), _u3730)), _u3731)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3732), _u3733)), _u3734) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3732), _u3734)), _u3733)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u3735) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3735), _u3736), _u3737) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3735), _u3738), _u3739)) | ( _u3736 != _u3737) | ( _u3738 = _u3739) )).
% 27.66/27.86 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u3735) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3735), _u3736), _u3737) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3735), _u3738), _u3739)) | ( _u3738 != _u3739) | ( _u3736 = _u3737) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_of__int__diff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_of__int__diff-1, axiom, ( ~class_Rings_Oring__1(_u3740) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3740), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3741), _u3742)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3740), hAPP(c_Int_Oring__1__class_Oof__int(_u3740), _u3741)), hAPP(c_Int_Oring__1__class_Oof__int(_u3740), _u3742))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u3743) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3744, _u3743)), _u3745), _u3746), _u3747) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3743), hAPP(_u3745, _u3747)), hAPP(_u3746, _u3747))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_of__nat__diff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_of__nat__diff-1, axiom, ( ~class_Rings_Oring__1(_u3748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3749), _u3750)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3748), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3750), _u3749)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3748), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3748), _u3750)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3748), _u3749))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiff__int ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zdiff__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3751), _u3752)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3752)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3751)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3752), _u3751))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3753) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3753), _u3754), _u3755) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3753), _u3756), _u3757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3753), _u3754), _u3755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3753), _u3756), _u3757)) )).
% 27.66/27.86 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3753) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3753), _u3754), _u3755) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3753), _u3756), _u3757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3753), _u3756), _u3757)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3753), _u3754), _u3755)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u3758) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3758), _u3759), _u3760) != c_Groups_Ozero__class_Ozero(_u3758)) | ( _u3759 = _u3760) )).
% 27.66/27.86 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u3758) | ( _u3759 != _u3760) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3758), _u3759), _u3760) = c_Groups_Ozero__class_Ozero(_u3758)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u3761) | ( _u3762 != _u3763) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3761), _u3762), _u3763) = c_Groups_Ozero__class_Ozero(_u3761)) )).
% 27.66/27.86 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u3761) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3761), _u3762), _u3763) != c_Groups_Ozero__class_Ozero(_u3761)) | ( _u3762 = _u3763) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u3764) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3764), _u3765), _u3765) = c_Groups_Ozero__class_Ozero(_u3764)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u3766) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3766), _u3767), c_Groups_Ozero__class_Ozero(_u3766)) = _u3767) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3768) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3768), _u3769), _u3770) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3768), _u3771), _u3772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3768), _u3769), _u3770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3768), _u3771), _u3772)) )).
% 27.66/27.86 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3768) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3768), _u3769), _u3770) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3768), _u3771), _u3772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3768), _u3771), _u3772)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3768), _u3769), _u3770)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3773) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3773), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3773), _u3774), _u3775)), _u3775) = _u3774) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3776) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3776), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3776), _u3777), _u3778)), _u3778) = _u3777) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u3779) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3779), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3779), _u3780), _u3781)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3779), _u3781), _u3780)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u3782) | ( c_Divides_Odiv__class_Omod(_u3782, _u3783, _u3784) != c_Divides_Odiv__class_Omod(_u3782, _u3785, _u3784)) | ( c_Divides_Odiv__class_Omod(_u3782, _u3786, _u3784) != c_Divides_Odiv__class_Omod(_u3782, _u3787, _u3784)) | ( c_Divides_Odiv__class_Omod(_u3782, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3782), _u3783), _u3786), _u3784) = c_Divides_Odiv__class_Omod(_u3782, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3782), _u3785), _u3787), _u3784)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u3788) | ( c_Divides_Odiv__class_Omod(_u3788, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3788), _u3789), _u3790), _u3791) = c_Divides_Odiv__class_Omod(_u3788, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3788), c_Divides_Odiv__class_Omod(_u3788, _u3789, _u3791)), c_Divides_Odiv__class_Omod(_u3788, _u3790, _u3791)), _u3791)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u3792) | ( c_Divides_Odiv__class_Omod(_u3792, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3792), _u3793), _u3794), _u3795) = c_Divides_Odiv__class_Omod(_u3792, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3792), c_Divides_Odiv__class_Omod(_u3792, _u3793, _u3795)), _u3794), _u3795)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u3796) | ( c_Divides_Odiv__class_Omod(_u3796, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3796), _u3797), _u3798), _u3799) = c_Divides_Odiv__class_Omod(_u3796, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3796), _u3797), c_Divides_Odiv__class_Omod(_u3796, _u3798, _u3799)), _u3799)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diffs0__imp__equal-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3800), _u3801) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3801), _u3800) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3800 = _u3801) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__self__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3802), _u3802) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3803), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3803) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3804) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__Suc__Suc ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3805)), hAPP(c_Nat_OSuc, _u3806)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3805), _u3806)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__diff__diff ( axiom ) converted to clauses:
% 27.66/27.86 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, _u3807)), _u3808)), hAPP(c_Nat_OSuc, _u3809)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3807), _u3808)), _u3809)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3810), _u3811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3810), _u3812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3812), _u3811)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3812), _u3810))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_less__imp__diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3813), _u3814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3813), _u3815)), _u3814)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__geq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3816), _u3817)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3816, _u3817) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3816), _u3817), _u3817)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3820), _u3822)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3820, _u3822) = _u3820) )).
% 27.66/27.86 cnf(fact_mod__if-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3821), _u3823)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3821, _u3823) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3821), _u3823), _u3823)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3824), _u3825)), _u3825) = _u3824) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3826), _u3827)), _u3826) = _u3827) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3828), _u3829)), _u3830) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3828), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3829), _u3830))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3831), _u3832)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3831), _u3833)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3832), _u3833)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3834), _u3835)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3836), _u3835)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3834), _u3836)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3837), _u3838)), _u3837)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3839), _u3840)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3841), _u3840)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3841), _u3839))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3842), _u3843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3842), _u3844)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3843), _u3844))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3845), _u3846)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3846), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3846), _u3845)) = _u3845) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3847), _u3848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3847), _u3849)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3848), _u3847) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3849), _u3847)) | ( _u3848 = _u3849) )).
% 27.66/27.86 cnf(fact_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3847), _u3848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3847), _u3849)) | ( _u3848 != _u3849) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3848), _u3847) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3849), _u3847)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3850), _u3851)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3850), _u3852)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3851), _u3850)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3852), _u3850)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3851), _u3852)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3853), _u3854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3853), _u3855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3854), _u3853)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3855), _u3853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3854), _u3855)) )).
% 27.66/27.86 cnf(fact_le__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3853), _u3854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3853), _u3855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3854), _u3855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3854), _u3853)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3855), _u3853))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__mod__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3856), _u3857)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3857, _u3856) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3857), _u3856), _u3856)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3858), _u3859)), _u3860) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3858), _u3860)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3859), _u3860))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3861), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3862), _u3863)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3861), _u3862)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3861), _u3863))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3864), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3865), _u3866)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3864), _u3865)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3864), _u3866))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3867), _u3868)), _u3869) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3867), _u3869)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3868), _u3869))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiff__zmod__left ( axiom ) converted to clauses:
% 27.66/27.86 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, _u3870, _u3871)), _u3872), _u3871) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3870), _u3872), _u3871)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiff__zmod__right ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3873), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3874, _u3875)), _u3875) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3873), _u3874), _u3875)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__diff__distrib ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3876)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3876), _u3877)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3877), _u3876)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3877)), hAPP(c_Int_Onat, _u3876))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zdiff__int__split ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zdiff__int__split-1, axiom, ( ~hBOOL(hAPP(_u3881, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3883), _u3885)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3885), _u3883)) | hBOOL(hAPP(_u3881, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3883)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3885)))) )).
% 27.66/27.86 cnf(fact_zdiff__int__split-2, axiom, ( ~hBOOL(hAPP(_u3881, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3883), _u3885)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3883), _u3885)) | hBOOL(hAPP(_u3881, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_zdiff__int__split-3, axiom, ( hBOOL(hAPP(_u3882, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3884), _u3886)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3886), _u3884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3884), _u3886)) )).
% 27.66/27.86 cnf(fact_zdiff__int__split-4, axiom, ( hBOOL(hAPP(_u3882, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3884), _u3886)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3886), _u3884)) | ~hBOOL(hAPP(_u3882, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_zdiff__int__split-5, axiom, ( hBOOL(hAPP(_u3882, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3884), _u3886)))) | ~hBOOL(hAPP(_u3882, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3884)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3886)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3884), _u3886)) )).
% 27.66/27.86 cnf(fact_zdiff__int__split-6, axiom, ( hBOOL(hAPP(_u3882, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3884), _u3886)))) | ~hBOOL(hAPP(_u3882, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3884)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3886)))) | ~hBOOL(hAPP(_u3882, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3887), _u3888), _u3889)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3887), _u3888), _u3889)), c_Groups_Ozero__class_Ozero(_u3887))) )).
% 27.66/27.86 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3887), _u3888), _u3889)), c_Groups_Ozero__class_Ozero(_u3887))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3887), _u3888), _u3889)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3890), _u3891), _u3892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3890), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3890), _u3891), _u3892)), c_Groups_Ozero__class_Ozero(_u3890))) )).
% 27.66/27.86 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3890), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3890), _u3891), _u3892)), c_Groups_Ozero__class_Ozero(_u3890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3890), _u3891), _u3892)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u3893) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3893), _u3894), _u3895)), _u3896) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3893), _u3897), _u3895)), _u3898)) | ( _u3896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3893), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3893), _u3897), _u3894)), _u3895)), _u3898)) )).
% 27.66/27.86 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u3893) | ( _u3896 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3893), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3893), _u3897), _u3894)), _u3895)), _u3898)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3893), _u3894), _u3895)), _u3896) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3893), _u3897), _u3895)), _u3898)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u3899) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3900), _u3901)), _u3902) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3903), _u3901)), _u3904)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3899), _u3900), _u3903)), _u3901)), _u3902) = _u3904) )).
% 27.66/27.86 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u3899) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3899), _u3900), _u3903)), _u3901)), _u3902) != _u3904) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3900), _u3901)), _u3902) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3903), _u3901)), _u3904)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u3905) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3905), c_Groups_Ozero__class_Ozero(_u3905)), _u3906) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3905), _u3906)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u3907) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3907), _u3908), _u3909) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3907), _u3908), hAPP(c_Groups_Ouminus__class_Ouminus(_u3907), _u3909))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u3910) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3910), _u3911), _u3912) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3910), _u3911), hAPP(c_Groups_Ouminus__class_Ouminus(_u3910), _u3912))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u3913) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3913), _u3914), hAPP(c_Groups_Ouminus__class_Ouminus(_u3913), _u3915)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3913), _u3914), _u3915)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u3916) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3916), _u3917), _u3918) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3916), _u3917), hAPP(c_Groups_Ouminus__class_Ouminus(_u3916), _u3918))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_less__bin__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3921), _u3923)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3921), _u3923)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 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), _u3922), _u3924)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3922), _u3924)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u3925)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3926)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3926), _u3925)), _u3926)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3929), _u3931))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3931), _u3929)) )).
% 27.66/27.86 cnf(fact_zero__less__diff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3932), _u3930)) | 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), _u3930), _u3932))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3933), _u3934)), hAPP(c_Nat_OSuc, _u3933))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__add__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3935), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3935), _u3936)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3937), _u3938)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3937), _u3938) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__is__0__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3941), _u3943) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3941), _u3943)) )).
% 27.66/27.86 cnf(fact_diff__is__0__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3942), _u3944)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3942), _u3944) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_less__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3948), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3950), _u3952))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3948), _u3952)), _u3950)) )).
% 27.66/27.86 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), _u3949), _u3953)), _u3951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3949), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3951), _u3953))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__diff__inverse-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3954), _u3955)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3955), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3954), _u3955)) = _u3954) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3956), _u3957)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3957)), _u3956) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3957), _u3956))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_less__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3958), _u3959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3958), _u3960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3959), _u3958)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3960), _u3958))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3959), _u3960)) )).
% 27.66/27.86 cnf(fact_less__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3958), _u3959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3958), _u3960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3959), _u3960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3959), _u3958)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3960), _u3958))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3961), _u3962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3963), _u3961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3961), _u3963)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3962), _u3963))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__add__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3964), _u3965)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3965), _u3966)), _u3964) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3965), _u3964)), _u3966)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__diff__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3967), _u3968)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3968), _u3967)), _u3969) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3968), _u3969)), _u3967)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__add__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3970), _u3971)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3972), _u3971)), _u3970) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3972), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3971), _u3970))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3973), _u3974)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3974), _u3973) != _u3975) | ( _u3974 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3975), _u3973)) )).
% 27.66/27.86 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3973), _u3974)) | ( _u3974 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3975), _u3973)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3974), _u3973) = _u3975) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3976), _u3977)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3977), _u3976)), _u3976) = _u3977) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__diff__conv2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3978), _u3979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3980), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3979), _u3978))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3980), _u3978)), _u3979)) )).
% 27.66/27.86 cnf(fact_le__diff__conv2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3978), _u3979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3980), _u3978)), _u3979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3980), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3979), _u3978))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__diff__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3981), _u3982)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3983), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3982), _u3981)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3983), _u3982)), _u3981)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__add__diff__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3984), _u3985)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3984), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3985), _u3984)) = _u3985) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__add__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3986), _u3987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3987), _u3988)), _u3986))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 27.66/27.86 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), _u3992), _u3994)), _u3996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3992), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3996), _u3994))) )).
% 27.66/27.86 cnf(fact_le__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3993), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3997), _u3995))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3993), _u3995)), _u3997)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__diff__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3998), _u3999)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4000), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3999), _u3998)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4000), _u3998)), _u3999)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4001), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4002)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4001), _u4002)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__int__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4003), _u4004) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4003), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4004))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4005), hAPP(c_Nat_OSuc, _u4006)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4005), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4006)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__Suc__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4007)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4007) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Divides_Omod__div__equality_H ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Divides_Omod__div__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4008, _u4009) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4008), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4008), _u4009)), _u4009))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__div__cancel ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4010), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4011), _u4010)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4011), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4011, _u4010))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__mod__equality_H ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4012), _u4013)), _u4013) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4012), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4012, _u4013))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_tsub__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4014), _u4015)) | ( c_Nat__Transfer_Otsub(_u4015, _u4014) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4015), _u4014)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4016), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4017)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4016), _u4017))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u4018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4018), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), _u4019), _u4020)), _u4021)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), _u4022), _u4020)), _u4023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4018), _u4021), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4018), _u4022), _u4019)), _u4020)), _u4023))) )).
% 27.66/27.86 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u4018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4018), _u4021), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4018), _u4022), _u4019)), _u4020)), _u4023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4018), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), _u4019), _u4020)), _u4021)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), _u4022), _u4020)), _u4023))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u4024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4024), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), _u4025), _u4026)), _u4027)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), _u4028), _u4026)), _u4029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4024), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4024), _u4025), _u4028)), _u4026)), _u4027)), _u4029)) )).
% 27.66/27.86 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u4024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4024), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4024), _u4025), _u4028)), _u4026)), _u4027)), _u4029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4024), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), _u4025), _u4026)), _u4027)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), _u4028), _u4026)), _u4029))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u4030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4030), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), _u4031), _u4032)), _u4033)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), _u4034), _u4032)), _u4035))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4030), _u4033), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4030), _u4034), _u4031)), _u4032)), _u4035))) )).
% 27.66/27.86 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u4030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4030), _u4033), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4030), _u4034), _u4031)), _u4032)), _u4035))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4030), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), _u4031), _u4032)), _u4033)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), _u4034), _u4032)), _u4035))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u4036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4037), _u4038)), _u4039)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4040), _u4038)), _u4041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4036), _u4037), _u4040)), _u4038)), _u4039)), _u4041)) )).
% 27.66/27.86 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u4036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4036), _u4037), _u4040)), _u4038)), _u4039)), _u4041)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4037), _u4038)), _u4039)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4040), _u4038)), _u4041))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__Suc__less ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4042)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4042), hAPP(c_Nat_OSuc, _u4043))), _u4042)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__pred ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4044)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4044), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u4044) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u4050, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4052), _u4054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4052), _u4054)) | hBOOL(hAPP(_u4050, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.86 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u4050, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4052), _u4054))) | ( _u4052 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4054), _u4045)) | hBOOL(hAPP(_u4050, _u4045)) )).
% 27.66/27.86 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u4051, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4053), _u4055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4053), _u4055)) | ( _u4053 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4055), skolem75(_u4055, _u4053, _u4051))) )).
% 27.66/27.86 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u4051, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4053), _u4055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4053), _u4055)) | ~hBOOL(hAPP(_u4051, skolem75(_u4055, _u4053, _u4051))) )).
% 27.66/27.86 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u4051, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4053), _u4055))) | ~hBOOL(hAPP(_u4051, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4053 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4055), skolem75(_u4055, _u4053, _u4051))) )).
% 27.66/27.86 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u4051, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4053), _u4055))) | ~hBOOL(hAPP(_u4051, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4051, skolem75(_u4055, _u4053, _u4051))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u4061, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4063), _u4065))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4063), _u4065)) | hBOOL(hAPP(_u4061, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.86 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u4061, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4063), _u4065))) | ( _u4063 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4065), _u4056)) | hBOOL(hAPP(_u4061, _u4056)) )).
% 27.66/27.86 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u4062, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4064), _u4066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4064), _u4066)) | ( _u4064 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4066), skolem76(_u4066, _u4064, _u4062))) )).
% 27.66/27.86 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u4062, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4064), _u4066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4064), _u4066)) | ~hBOOL(hAPP(_u4062, skolem76(_u4066, _u4064, _u4062))) )).
% 27.66/27.86 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u4062, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4064), _u4066))) | ~hBOOL(hAPP(_u4062, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4064 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4066), skolem76(_u4066, _u4064, _u4062))) )).
% 27.66/27.86 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u4062, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4064), _u4066))) | ~hBOOL(hAPP(_u4062, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4062, skolem76(_u4066, _u4064, _u4062))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zle__diff1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4069), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4071), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4069), _u4071)) )).
% 27.66/27.86 cnf(fact_zle__diff1__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4070), _u4072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4070), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4072), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__Suc__diff__eq2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__Suc__diff__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4073), _u4074)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4074), _u4073))), _u4075) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4074)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4073), _u4075))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__Suc__diff__eq1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__Suc__diff__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4076), _u4077)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4078), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4077), _u4076))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4078), _u4076)), hAPP(c_Nat_OSuc, _u4077))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4079), _u4080)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4079), _u4081)), _u4082) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4080), _u4081)), _u4083)) | ( _u4082 = 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), _u4080), _u4079)), _u4081)), _u4083)) )).
% 27.66/27.86 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4079), _u4080)) | ( _u4082 != 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), _u4080), _u4079)), _u4081)), _u4083)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4079), _u4081)), _u4082) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4080), _u4081)), _u4083)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4084), _u4085)) | ( 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), _u4084), _u4086)), _u4087)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4085), _u4086)), _u4088)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4087), 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), _u4085), _u4084)), _u4086)), _u4088))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__le__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4089), _u4090)) | ~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), _u4089), _u4091)), _u4092)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4090), _u4091)), _u4093))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4092), 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), _u4090), _u4089)), _u4091)), _u4093))) )).
% 27.66/27.86 cnf(fact_nat__le__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4089), _u4090)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4092), 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), _u4090), _u4089)), _u4091)), _u4093))) | 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), _u4089), _u4091)), _u4092)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4090), _u4091)), _u4093))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4094), _u4095)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4095), _u4096)), _u4097) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4094), _u4096)), _u4098)) | ( 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), _u4095), _u4094)), _u4096)), _u4097) = _u4098) )).
% 27.66/27.86 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4094), _u4095)) | ( 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), _u4095), _u4094)), _u4096)), _u4097) != _u4098) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4095), _u4096)), _u4097) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4094), _u4096)), _u4098)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4099), _u4100)) | ( 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), _u4100), _u4101)), _u4102)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4099), _u4101)), _u4103)) = 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), _u4100), _u4099)), _u4101)), _u4102)), _u4103)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__le__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4104), _u4105)) | ~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), _u4105), _u4106)), _u4107)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4104), _u4106)), _u4108))) | 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), _u4105), _u4104)), _u4106)), _u4107)), _u4108)) )).
% 27.66/27.86 cnf(fact_nat__le__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4104), _u4105)) | ~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), _u4105), _u4104)), _u4106)), _u4107)), _u4108)) | 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), _u4105), _u4106)), _u4107)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4104), _u4106)), _u4108))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__zminus2__eq__if ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmod__zminus2__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4111, _u4113) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4111, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4113)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86 cnf(fact_zmod__zminus2__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4112, _u4114) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4112, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4114)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4112, _u4114)), _u4114)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__zminus1__eq__if ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmod__zminus1__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4117, _u4119) != 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), _u4117), _u4119) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86 cnf(fact_zmod__zminus1__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4118, _u4120) = 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), _u4118), _u4120) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4120), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4118, _u4120))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmult__div__cancel ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4121), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4122), _u4121)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4122), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4122, _u4121))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zmod__zdiv__equality_H ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zmod__zdiv__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4123, _u4124) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4123), _u4124)), _u4124))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_tsub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4127), _u4129)) | ( c_Nat__Transfer_Otsub(_u4129, _u4127) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4129), _u4127)) )).
% 27.66/27.86 cnf(fact_tsub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4128), _u4130)) | ( c_Nat__Transfer_Otsub(_u4130, _u4128) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__pred_H ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4131)) | ( _u4131 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4131), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Suc__diff__1 ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4132)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4132), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u4132) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__less__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4133), _u4134)) | ~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), _u4133), _u4135)), _u4136)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4134), _u4135)), _u4137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4136), 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), _u4134), _u4133)), _u4135)), _u4137))) )).
% 27.66/27.86 cnf(fact_nat__less__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4133), _u4134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4136), 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), _u4134), _u4133)), _u4135)), _u4137))) | 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), _u4133), _u4135)), _u4136)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4134), _u4135)), _u4137))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__less__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4138), _u4139)) | ~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), _u4139), _u4140)), _u4141)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4138), _u4140)), _u4142))) | 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), _u4139), _u4138)), _u4140)), _u4141)), _u4142)) )).
% 27.66/27.86 cnf(fact_nat__less__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4138), _u4139)) | ~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), _u4139), _u4138)), _u4140)), _u4141)), _u4142)) | 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), _u4139), _u4140)), _u4141)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4138), _u4140)), _u4142))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__eq__if ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__eq__if-1, axiom, ( ( _u4145 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4145), _u4147) = _u4147) )).
% 27.66/27.86 cnf(fact_add__eq__if-2, axiom, ( ( _u4146 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4146), _u4148) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4146), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4148))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__if ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4150), _u4149)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4150), _u4149) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 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)), _u4149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4150), _u4149)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4150), _u4149) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4150), _u4149)), _u4149))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__geq ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4152), _u4151)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4152), _u4151) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4152), _u4151)), _u4151))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__eq__if-1, axiom, ( ( _u4155 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4155), _u4157) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_mult__eq__if-2, axiom, ( ( _u4156 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4156), _u4158) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4156), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4158))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_int__power__div__base ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4159)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4160)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4160), _u4159)), _u4160) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4160), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4159), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_decr__mult__lemma ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4165)) | ~hBOOL(hAPP(_u4164, _u4162)) | hBOOL(hAPP(_u4164, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4162), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4165), _u4163)))) | hBOOL(hAPP(_u4164, skolem77(_u4165, _u4164, _u4163))) )).
% 27.66/27.86 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)), _u4163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4165)) | ~hBOOL(hAPP(_u4164, _u4162)) | hBOOL(hAPP(_u4164, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4162), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4165), _u4163)))) | ~hBOOL(hAPP(_u4164, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem77(_u4165, _u4164, _u4163)), _u4163))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4167), 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), _u4167), _u4168))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4166))), _u4168)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4170), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4171), 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), _u4171), _u4170))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4169)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__mod__eq__lemma ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__mod__eq__lemma-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4173, _u4174) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4175, _u4174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4175), _u4173)) | ( _u4173 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4175), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4174), skolem78(_u4175, _u4174, _u4173)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__induct__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__induct__0-1, axiom, ( ~hBOOL(hAPP(_u4178, _u4179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4179), _u4177)) | hBOOL(hAPP(_u4178, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem79(_u4179, _u4178, _u4177)), _u4177)) )).
% 27.66/27.86 cnf(fact_mod__induct__0-2, axiom, ( ~hBOOL(hAPP(_u4178, _u4179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4179), _u4177)) | hBOOL(hAPP(_u4178, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u4178, skolem79(_u4179, _u4178, _u4177))) )).
% 27.66/27.86 cnf(fact_mod__induct__0-3, axiom, ( ~hBOOL(hAPP(_u4178, _u4179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4179), _u4177)) | hBOOL(hAPP(_u4178, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4178, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem79(_u4179, _u4178, _u4177)), _u4177))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_expand__Suc ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4180))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4180) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4180)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__gcd_Osimps ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__gcd_Osimps-1, axiom, ( ( _u4183 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u4185, _u4183) = _u4185) )).
% 27.66/27.86 cnf(fact_nat__gcd_Osimps-2, axiom, ( ( _u4184 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u4186, _u4184) = c_Nitpick_Onat__gcd(_u4184, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4186, _u4184))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_of__int__power ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_of__int__power-1, axiom, ( ~class_Rings_Oring__1(_u4187) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4187), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4188), _u4189)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4187), hAPP(c_Int_Oring__1__class_Oof__int(_u4187), _u4188)), _u4189)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_of__int__number__of__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_of__int__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4190) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4190), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4191)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4190), _u4191)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u4192) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4192), _u4193) != _u4194) | ( _u4194 = hAPP(c_Int_Onumber__class_Onumber__of(_u4192), _u4193)) )).
% 27.66/27.86 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u4192) | ( _u4194 != hAPP(c_Int_Onumber__class_Onumber__of(_u4192), _u4193)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4192), _u4193) = _u4194) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4195) | ~class_Int_Oring__char__0(_u4195) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4195), _u4196) != hAPP(c_Int_Onumber__class_Onumber__of(_u4195), _u4197)) | ( _u4196 = _u4197) )).
% 27.66/27.86 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4195) | ~class_Int_Oring__char__0(_u4195) | ( _u4196 != _u4197) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4195), _u4196) = hAPP(c_Int_Onumber__class_Onumber__of(_u4195), _u4197)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4198) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4198), hAPP(c_Groups_Oabs__class_Oabs(_u4198), _u4199)) = hAPP(c_Groups_Oabs__class_Oabs(_u4198), _u4199)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4200)), _u4201))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4202) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4202), _u4203), hAPP(c_Groups_Oabs__class_Oabs(_u4202), _u4203))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4204), hAPP(c_Groups_Oabs__class_Oabs(_u4204), _u4205)), _u4206)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4204), _u4205), _u4206)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4207) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4207), c_Groups_Ozero__class_Ozero(_u4207)) = c_Groups_Ozero__class_Ozero(_u4207)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4208) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4208), _u4209) != c_Groups_Ozero__class_Ozero(_u4208)) | ( _u4209 = c_Groups_Ozero__class_Ozero(_u4208)) )).
% 27.66/27.86 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4208) | ( _u4209 != c_Groups_Ozero__class_Ozero(_u4208)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4208), _u4209) = c_Groups_Ozero__class_Ozero(_u4208)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4210) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4210), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4210), hAPP(c_Groups_Oabs__class_Oabs(_u4210), _u4211)), hAPP(c_Groups_Oabs__class_Oabs(_u4210), _u4212))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4210), hAPP(c_Groups_Oabs__class_Oabs(_u4210), _u4211)), hAPP(c_Groups_Oabs__class_Oabs(_u4210), _u4212))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u4213) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4213), _u4214), _u4215)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4213), hAPP(c_Groups_Oabs__class_Oabs(_u4213), _u4214)), hAPP(c_Groups_Oabs__class_Oabs(_u4213), _u4215))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u4216) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4216), hAPP(c_Groups_Oabs__class_Oabs(_u4216), _u4217)), hAPP(c_Groups_Oabs__class_Oabs(_u4216), _u4217)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4216), _u4217), _u4217)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4218) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4218), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4218), _u4219), _u4220)) = hAPP(c_Groups_Oabs__class_Oabs(_u4218), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4218), _u4220), _u4219))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u4221) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4221), c_Groups_Oone__class_Oone(_u4221)) = c_Groups_Oone__class_Oone(_u4221)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4222) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4222), hAPP(c_Groups_Ouminus__class_Ouminus(_u4222), _u4223)) = hAPP(c_Groups_Oabs__class_Oabs(_u4222), _u4223)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4224) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4224), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4224), _u4225), _u4226)), _u4227) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4224), hAPP(hAPP(c_Power_Opower__class_Opower(_u4224), _u4225), _u4227)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4224), _u4226), _u4227))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__of__nat ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__of__nat-1, axiom, ( ~class_Rings_Olinordered__idom(_u4228) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4228), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4228), _u4229)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4228), _u4229)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__int__eq ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4230)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4230)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4231) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4231), hAPP(hAPP(c_Power_Opower__class_Opower(_u4231), _u4232), _u4233)), _u4234) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4231), _u4232), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4233), _u4234))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4235), _u4236)), _u4237) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4236), _u4237))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4238) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4238), _u4239), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4239) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 27.66/27.86 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, _u4240, _u4241)), _u4242), _u4241) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4240), _u4242), _u4241)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_of__nat__number__of__lemma ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_of__nat__number__of__lemma-1, axiom, ( ~class_Int_Onumber__ring(_u4243) | ~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), _u4244))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4243), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4244)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4243), _u4244)) )).
% 27.66/27.86 cnf(fact_of__nat__number__of__lemma-2, axiom, ( ~class_Int_Onumber__ring(_u4243) | 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), _u4244))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4243), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4244)) = c_Groups_Ozero__class_Ozero(_u4243)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_number__of__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4245) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4245), _u4246) = hAPP(c_Int_Oring__1__class_Oof__int(_u4245), _u4246)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__number__of ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4247) | ~class_Rings_Olinordered__idom(_u4247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4247), hAPP(c_Int_Onumber__class_Onumber__of(_u4247), _u4248)), c_Groups_Ozero__class_Ozero(_u4247))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4247), hAPP(c_Int_Onumber__class_Onumber__of(_u4247), _u4248)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4247), hAPP(c_Int_Onumber__class_Onumber__of(_u4247), _u4248))) )).
% 27.66/27.86 cnf(fact_abs__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4247) | ~class_Rings_Olinordered__idom(_u4247) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4247), hAPP(c_Int_Onumber__class_Onumber__of(_u4247), _u4248)), c_Groups_Ozero__class_Ozero(_u4247))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4247), hAPP(c_Int_Onumber__class_Onumber__of(_u4247), _u4248)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4247), _u4248)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4251)), _u4253))) | ( _u4251 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4253 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 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), _u4252)), _u4254))) | ( _u4252 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86 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), _u4252)), _u4254))) | ( _u4254 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4255) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4255), c_Groups_Ozero__class_Ozero(_u4255)), _u4256)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4255), _u4256) = _u4256) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4257), hAPP(c_Groups_Oabs__class_Oabs(_u4257), _u4258)), c_Groups_Ozero__class_Ozero(_u4257))) | ( _u4258 = c_Groups_Ozero__class_Ozero(_u4257)) )).
% 27.66/27.86 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4257) | ( _u4258 != c_Groups_Ozero__class_Ozero(_u4257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4257), hAPP(c_Groups_Oabs__class_Oabs(_u4257), _u4258)), c_Groups_Ozero__class_Ozero(_u4257))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4259), c_Groups_Ozero__class_Ozero(_u4259)), hAPP(c_Groups_Oabs__class_Oabs(_u4259), _u4260))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4261), hAPP(c_Groups_Oabs__class_Oabs(_u4261), _u4262)), c_Groups_Ozero__class_Ozero(_u4261))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4263), c_Groups_Ozero__class_Ozero(_u4263)), hAPP(c_Groups_Oabs__class_Oabs(_u4263), _u4264))) | ( _u4264 != c_Groups_Ozero__class_Ozero(_u4263)) )).
% 27.66/27.86 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4263) | ( _u4264 = c_Groups_Ozero__class_Ozero(_u4263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4263), c_Groups_Ozero__class_Ozero(_u4263)), hAPP(c_Groups_Oabs__class_Oabs(_u4263), _u4264))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4265), c_Groups_Ozero__class_Ozero(_u4265)), _u4266)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4265), _u4266) = _u4266) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4267) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4267), hAPP(c_Groups_Oabs__class_Oabs(_u4267), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), _u4268), _u4269))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(c_Groups_Oabs__class_Oabs(_u4267), _u4268)), hAPP(c_Groups_Oabs__class_Oabs(_u4267), _u4269)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u4270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4270), hAPP(c_Groups_Oabs__class_Oabs(_u4270), _u4271)), _u4272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4270), hAPP(c_Groups_Oabs__class_Oabs(_u4270), _u4273)), _u4274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4270), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4270), hAPP(c_Groups_Oabs__class_Oabs(_u4270), _u4271)), hAPP(c_Groups_Oabs__class_Oabs(_u4270), _u4273))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4270), _u4272), _u4274))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__triangle__ineq3-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4275) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4275), hAPP(c_Groups_Oabs__class_Oabs(_u4275), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4275), hAPP(c_Groups_Oabs__class_Oabs(_u4275), _u4276)), hAPP(c_Groups_Oabs__class_Oabs(_u4275), _u4277)))), hAPP(c_Groups_Oabs__class_Oabs(_u4275), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4275), _u4276), _u4277)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4278) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4278), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4278), hAPP(c_Groups_Oabs__class_Oabs(_u4278), _u4279)), hAPP(c_Groups_Oabs__class_Oabs(_u4278), _u4280))), hAPP(c_Groups_Oabs__class_Oabs(_u4278), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4278), _u4279), _u4280)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4281) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4281), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4281), hAPP(c_Groups_Oabs__class_Oabs(_u4281), _u4282)), hAPP(c_Groups_Oabs__class_Oabs(_u4281), _u4283))), hAPP(c_Groups_Oabs__class_Oabs(_u4281), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4281), _u4283), _u4282)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4284) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4284), hAPP(c_Groups_Oabs__class_Oabs(_u4284), _u4285)), _u4286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4284), hAPP(c_Groups_Ouminus__class_Ouminus(_u4284), _u4285)), _u4286)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4287), _u4288), _u4289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4287), hAPP(c_Groups_Ouminus__class_Ouminus(_u4287), _u4288)), _u4289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4287), hAPP(c_Groups_Oabs__class_Oabs(_u4287), _u4288)), _u4289)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), hAPP(c_Groups_Oabs__class_Oabs(_u4290), _u4291)), _u4292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), _u4291), _u4292)) )).
% 27.66/27.86 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), hAPP(c_Groups_Oabs__class_Oabs(_u4290), _u4291)), _u4292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), hAPP(c_Groups_Ouminus__class_Ouminus(_u4290), _u4291)), _u4292)) )).
% 27.66/27.86 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), _u4291), _u4292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), hAPP(c_Groups_Ouminus__class_Ouminus(_u4290), _u4291)), _u4292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), hAPP(c_Groups_Oabs__class_Oabs(_u4290), _u4291)), _u4292)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4293), hAPP(c_Groups_Ouminus__class_Ouminus(_u4293), _u4294)), hAPP(c_Groups_Oabs__class_Oabs(_u4293), _u4294))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u4295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), hAPP(c_Groups_Oabs__class_Oabs(_u4295), _u4296)), _u4297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), _u4296), _u4297)) )).
% 27.66/27.86 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u4295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), hAPP(c_Groups_Oabs__class_Oabs(_u4295), _u4296)), _u4297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), hAPP(c_Groups_Ouminus__class_Ouminus(_u4295), _u4296)), _u4297)) )).
% 27.66/27.86 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u4295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), _u4296), _u4297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), hAPP(c_Groups_Ouminus__class_Ouminus(_u4295), _u4296)), _u4297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), hAPP(c_Groups_Oabs__class_Oabs(_u4295), _u4296)), _u4297)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u4298) | ~class_Orderings_Olinorder(_u4298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4298), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4299)), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4300))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4298), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4300)), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4299))) )).
% 27.66/27.86 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u4298) | ~class_Orderings_Olinorder(_u4298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4298), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4300)), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4298), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4299)), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4300))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4301) | ~class_Rings_Osemiring(_u4301) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4301), hAPP(c_Int_Onumber__class_Onumber__of(_u4301), _u4302)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4301), _u4303), _u4304)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4301), hAPP(c_Int_Onumber__class_Onumber__of(_u4301), _u4302)), _u4303)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4301), hAPP(c_Int_Onumber__class_Onumber__of(_u4301), _u4302)), _u4304))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4305) | ~class_Rings_Osemiring(_u4305) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4305), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4305), _u4306), _u4307)), hAPP(c_Int_Onumber__class_Onumber__of(_u4305), _u4308)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4305), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4305), _u4306), hAPP(c_Int_Onumber__class_Onumber__of(_u4305), _u4308))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4305), _u4307), hAPP(c_Int_Onumber__class_Onumber__of(_u4305), _u4308)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4309) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), hAPP(hAPP(c_Power_Opower__class_Opower(_u4309), _u4310), _u4311)), _u4310) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4309), _u4310), hAPP(c_Nat_OSuc, _u4311))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4312) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), _u4313), hAPP(hAPP(c_Power_Opower__class_Opower(_u4312), _u4313), _u4314)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4312), _u4313), hAPP(c_Nat_OSuc, _u4314))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4315) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4315), _u4316), hAPP(c_Nat_OSuc, _u4317)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4315), _u4316), hAPP(hAPP(c_Power_Opower__class_Opower(_u4315), _u4316), _u4317))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_right__diff__distrib__number__of ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_right__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4318) | ~class_Rings_Oring(_u4318) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4318), hAPP(c_Int_Onumber__class_Onumber__of(_u4318), _u4319)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4318), _u4320), _u4321)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4318), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4318), hAPP(c_Int_Onumber__class_Onumber__of(_u4318), _u4319)), _u4320)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4318), hAPP(c_Int_Onumber__class_Onumber__of(_u4318), _u4319)), _u4321))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_left__diff__distrib__number__of ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_left__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4322) | ~class_Rings_Oring(_u4322) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4322), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4322), _u4323), _u4324)), hAPP(c_Int_Onumber__class_Onumber__of(_u4322), _u4325)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4322), _u4323), hAPP(c_Int_Onumber__class_Onumber__of(_u4322), _u4325))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4322), _u4324), hAPP(c_Int_Onumber__class_Onumber__of(_u4322), _u4325)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4326) | ~class_Rings_Olinordered__idom(_u4326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4326), hAPP(c_Int_Onumber__class_Onumber__of(_u4326), _u4327)), hAPP(c_Int_Onumber__class_Onumber__of(_u4326), _u4328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4327), _u4328)) )).
% 27.66/27.86 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4326) | ~class_Rings_Olinordered__idom(_u4326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4327), _u4328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4326), hAPP(c_Int_Onumber__class_Onumber__of(_u4326), _u4327)), hAPP(c_Int_Onumber__class_Onumber__of(_u4326), _u4328))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4329) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4329), _u4330), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4329)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4331) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4331), hAPP(hAPP(c_Power_Opower__class_Opower(_u4331), _u4332), _u4333)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4331), _u4332), _u4334)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4331), _u4332), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4333), _u4334))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4335) | ~class_Rings_Olinordered__idom(_u4335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4335), hAPP(c_Int_Onumber__class_Onumber__of(_u4335), _u4336)), hAPP(c_Int_Onumber__class_Onumber__of(_u4335), _u4337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4336), _u4337)) )).
% 27.66/27.86 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4335) | ~class_Rings_Olinordered__idom(_u4335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4336), _u4337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4335), hAPP(c_Int_Onumber__class_Onumber__of(_u4335), _u4336)), hAPP(c_Int_Onumber__class_Onumber__of(_u4335), _u4337))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u4338) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4338), hAPP(c_Int_Onumber__class_Onumber__of(_u4338), _u4339)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4338), hAPP(c_Int_Onumber__class_Onumber__of(_u4338), _u4340)), _u4341)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4338), hAPP(c_Int_Onumber__class_Onumber__of(_u4338), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4339), _u4340))), _u4341)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4342) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4342), hAPP(c_Int_Onumber__class_Onumber__of(_u4342), _u4343)), hAPP(c_Int_Onumber__class_Onumber__of(_u4342), _u4344)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4342), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4343), _u4344))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u4345) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4345), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4346), _u4347)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4345), hAPP(c_Int_Onumber__class_Onumber__of(_u4345), _u4346)), hAPP(c_Int_Onumber__class_Onumber__of(_u4345), _u4347))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4348)) | 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), _u4348), _u4349))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u4350) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4350), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4351), _u4352)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4350), hAPP(c_Int_Onumber__class_Onumber__of(_u4350), _u4351)), hAPP(c_Int_Onumber__class_Onumber__of(_u4350), _u4352))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u4353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4353), hAPP(c_Int_Onumber__class_Onumber__of(_u4353), _u4354)), hAPP(c_Int_Onumber__class_Onumber__of(_u4353), _u4355)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4353), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4354), _u4355))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u4356) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4356), hAPP(c_Int_Onumber__class_Onumber__of(_u4356), _u4357)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4356), hAPP(c_Int_Onumber__class_Onumber__of(_u4356), _u4358)), _u4359)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4356), hAPP(c_Int_Onumber__class_Onumber__of(_u4356), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4357), _u4358))), _u4359)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4360), _u4361)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4360) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_number__of__diff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_number__of__diff-1, axiom, ( ~class_Int_Onumber__ring(_u4362) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4362), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4363), _u4364)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4362), hAPP(c_Int_Onumber__class_Onumber__of(_u4362), _u4363)), hAPP(c_Int_Onumber__class_Onumber__of(_u4362), _u4364))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4365), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4366), _u4367)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4365), _u4366)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4365), _u4367))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_arith__simps_I30_J ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_arith__simps_I30_J-1, axiom, ( ~class_Int_Onumber__ring(_u4368) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4368), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4369)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4368), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4369))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_number__of__minus ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_number__of__minus-1, axiom, ( ~class_Int_Onumber__ring(_u4370) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4370), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4371)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4370), hAPP(c_Int_Onumber__class_Onumber__of(_u4370), _u4371))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u4372) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4372), _u4373) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4372), _u4373), c_Groups_Osgn__class_Osgn(_u4372, _u4373))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u4374) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4374), c_Groups_Osgn__class_Osgn(_u4374, _u4375)), hAPP(c_Groups_Oabs__class_Oabs(_u4374), _u4375)) = _u4375) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u4376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4377)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4376), hAPP(c_Groups_Oabs__class_Oabs(_u4376), _u4378)), _u4377) = hAPP(c_Groups_Oabs__class_Oabs(_u4376), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4376), _u4378), _u4377))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u4379) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), _u4380), _u4381)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4380)), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4381)) )).
% 27.66/27.86 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u4379) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), _u4380), _u4381)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4380)), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), _u4381), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 27.66/27.86 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u4379) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), _u4380), _u4381)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4380)), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), _u4380), c_Groups_Ozero__class_Ozero(_u4379))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4381)) )).
% 27.66/27.86 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u4379) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), _u4380), _u4381)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4380)), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), _u4380), c_Groups_Ozero__class_Ozero(_u4379))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), _u4381), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4382) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4382), hAPP(c_Groups_Oabs__class_Oabs(_u4382), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4382), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4382), _u4383), _u4384)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4382), _u4385), _u4386)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4382), hAPP(c_Groups_Oabs__class_Oabs(_u4382), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4382), _u4383), _u4385))), hAPP(c_Groups_Oabs__class_Oabs(_u4382), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4382), _u4384), _u4386))))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4387) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4387), hAPP(c_Groups_Oabs__class_Oabs(_u4387), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4387), _u4388), _u4389))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4387), hAPP(c_Groups_Oabs__class_Oabs(_u4387), _u4388)), hAPP(c_Groups_Oabs__class_Oabs(_u4387), _u4389)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4390), _u4391), c_Groups_Ozero__class_Ozero(_u4390))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4390), _u4391) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4390), _u4391)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(c_Groups_Ouminus__class_Ouminus(_u4392), hAPP(c_Groups_Oabs__class_Oabs(_u4392), _u4393))), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u4394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4394), _u4395), c_Groups_Ozero__class_Ozero(_u4394))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4394), _u4395) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4394), _u4395)) )).
% 27.66/27.86 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u4394) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4394), _u4395), c_Groups_Ozero__class_Ozero(_u4394))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4394), _u4395) = _u4395) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4397), c_Groups_Ozero__class_Ozero(_u4396))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4396), _u4397) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4396), _u4397)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4399)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u4399 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u4400 != 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), _u4400)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__number__of__diff1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__number__of__diff1-1, axiom, ( ~class_Int_Onumber__ring(_u4401) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4401), _u4402)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4401), _u4403)), _u4404)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4401), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4402), _u4403))), _u4404)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zabs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4406), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4406) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4406)) )).
% 27.66/27.86 cnf(fact_zabs__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4407), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4407) = _u4407) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_minus__number__of__mult ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_minus__number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u4408) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4408), hAPP(c_Groups_Ouminus__class_Ouminus(_u4408), hAPP(c_Int_Onumber__class_Onumber__of(_u4408), _u4409))), _u4410) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4408), hAPP(c_Int_Onumber__class_Onumber__of(_u4408), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4409))), _u4410)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__abs__mult__distrib ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4411), _u4412))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4411))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4412)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_diff__number__of__eq ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_diff__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4413) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4413), hAPP(c_Int_Onumber__class_Onumber__of(_u4413), _u4414)), hAPP(c_Int_Onumber__class_Onumber__of(_u4413), _u4415)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4413), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4414), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4415)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_add__number__of__diff2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_add__number__of__diff2-1, axiom, ( ~class_Int_Onumber__ring(_u4416) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4416), hAPP(c_Int_Onumber__class_Onumber__of(_u4416), _u4417)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4416), _u4418), hAPP(c_Int_Onumber__class_Onumber__of(_u4416), _u4419))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4416), hAPP(c_Int_Onumber__class_Onumber__of(_u4416), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4417), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4419)))), _u4418)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4420), _u4421), _u4422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4420), c_Groups_Ozero__class_Ozero(_u4420)), _u4421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4420), hAPP(hAPP(c_Power_Opower__class_Opower(_u4420), _u4421), _u4423)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4420), _u4422), _u4423))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4424) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4424), c_Groups_Oone__class_Oone(_u4424)), _u4425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4426)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4424), c_Groups_Oone__class_Oone(_u4424)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4424), _u4425), _u4426))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4427) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4427), c_Groups_Oone__class_Oone(_u4427)), _u4428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4427), hAPP(hAPP(c_Power_Opower__class_Opower(_u4427), _u4428), _u4429)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4427), _u4428), _u4430))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4429), _u4430)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Oone__class_Oone(_u4431)), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Power_Opower__class_Opower(_u4431), _u4432), _u4433)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4431), _u4432), _u4434))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4433), _u4434)) )).
% 27.66/27.86 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Oone__class_Oone(_u4431)), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4433), _u4434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Power_Opower__class_Opower(_u4431), _u4432), _u4433)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4431), _u4432), _u4434))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4436), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4438), c_Groups_Oone__class_Oone(_u4435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Power_Opower__class_Opower(_u4435), _u4438), _u4437)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4435), _u4438), _u4436))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4440), _u4441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Oone__class_Oone(_u4439))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), hAPP(hAPP(c_Power_Opower__class_Opower(_u4439), _u4442), _u4441)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4439), _u4442), _u4440))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), _u4444), c_Groups_Oone__class_Oone(_u4443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(hAPP(c_Power_Opower__class_Opower(_u4443), _u4444), hAPP(c_Nat_OSuc, _u4445))), c_Groups_Oone__class_Oone(_u4443))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_number__of__is__id-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4446) = _u4446) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4449)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4451))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4449), _u4451)) )).
% 27.66/27.86 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4450), _u4452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4450)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4452))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4455)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4457))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4455), _u4457)) )).
% 27.66/27.86 cnf(fact_less__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4456), _u4458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4456)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4458))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4459)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4460)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4459), _u4460))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4461)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4462)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4461), _u4462))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_minus__numeral__code_I5_J ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4463)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4463))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4466), _u4468) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4468 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4466 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.86 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4467), _u4469) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4469 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4467), _u4469) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4467 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 27.66/27.86 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))), _u4470) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4471), _u4472)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4471), _u4473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4472), _u4473)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4476), _u4478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4476)) | ( _u4478 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 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), _u4477), _u4479))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4477)) )).
% 27.66/27.86 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), _u4477), _u4479))) | ( _u4479 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_int__number__of__def ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_int__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4480) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u4480)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 27.66/27.86 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))), _u4481)) | 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), _u4481), _u4482))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__number__of__def ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4483) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4483))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__number__of ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_nat__number__of-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4484)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4484)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4485)), _u4486) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4485), _u4486))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zpower__int ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4487)), _u4488) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4487), _u4488))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_int__power ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4489), _u4490)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4489)), _u4490)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_minus__numeral__code_I6_J ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4491)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4492)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4491), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4492)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__eq__if-1, axiom, ( ( _u4495 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4497), _u4495) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_power__eq__if-2, axiom, ( ( _u4496 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4498), _u4496) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4498), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4498), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4496), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_int__eq__iff__number__of ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_int__eq__iff__number__of-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4501) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4503)) | ( _u4501 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4503))) )).
% 27.66/27.86 cnf(fact_int__eq__iff__number__of-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4501) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4503)) | 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), _u4503))) )).
% 27.66/27.86 cnf(fact_int__eq__iff__number__of-3, axiom, ( ( _u4502 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4504))) | ~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), _u4504))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4502) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4504)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_nat__power__eq ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4505)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4505), _u4506)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4505)), _u4506)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J ( axiom ) converted to clauses:
% 27.66/27.86 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)), _u4507)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4507)), _u4508) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4507), _u4508))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u4509) | ( _u4510 = c_Groups_Ozero__class_Ozero(_u4509)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4509), _u4510), _u4511) != c_Groups_Ozero__class_Ozero(_u4509)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4512) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4512), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4513), _u4514)), _u4515) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), hAPP(hAPP(c_Power_Opower__class_Opower(_u4512), _u4513), _u4515)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4512), _u4514), _u4515))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u4516) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4516), hAPP(hAPP(c_Power_Opower__class_Opower(_u4516), _u4517), _u4518)), _u4517) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4516), _u4517), hAPP(hAPP(c_Power_Opower__class_Opower(_u4516), _u4517), _u4518))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__one ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u4519) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4519), c_Groups_Oone__class_Oone(_u4519)), _u4520) = c_Groups_Oone__class_Oone(_u4519)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_of__nat__power ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_of__nat__power-1, axiom, ( ~class_Rings_Osemiring__1(_u4521) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4521), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4522), _u4523)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4521), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4521), _u4522)), _u4523)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u4524) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4524), _u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4526), _u4527)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4524), hAPP(hAPP(c_Power_Opower__class_Opower(_u4524), _u4525), _u4526)), _u4527)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_one__div__nat__number__of ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4528)) = 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), _u4528)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u4529) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4529), hAPP(hAPP(c_Power_Opower__class_Opower(_u4529), _u4530), _u4531)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4529), hAPP(c_Groups_Oabs__class_Oabs(_u4529), _u4530)), _u4531)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u4532) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4532), _u4533), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4533) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4534), c_Groups_Ozero__class_Ozero(_u4534)), _u4535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4534), c_Groups_Ozero__class_Ozero(_u4534)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4534), _u4535), _u4536))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), _u4538), _u4539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), c_Groups_Ozero__class_Ozero(_u4537)), _u4538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), hAPP(hAPP(c_Power_Opower__class_Opower(_u4537), _u4538), _u4540)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4537), _u4539), _u4540))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4541) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4541), c_Groups_Ozero__class_Ozero(_u4541)), _u4542)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4541), c_Groups_Ozero__class_Ozero(_u4541)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4541), _u4542), _u4543))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u4544) | ~class_Rings_Omult__zero(_u4544) | ~class_Rings_Ono__zero__divisors(_u4544) | ~class_Rings_Ozero__neq__one(_u4544) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4544), _u4545), _u4546) != c_Groups_Ozero__class_Ozero(_u4544)) | ( _u4545 = c_Groups_Ozero__class_Ozero(_u4544)) )).
% 27.66/27.86 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u4544) | ~class_Rings_Omult__zero(_u4544) | ~class_Rings_Ono__zero__divisors(_u4544) | ~class_Rings_Ozero__neq__one(_u4544) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4544), _u4545), _u4546) != c_Groups_Ozero__class_Ozero(_u4544)) | ( _u4546 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u4544) | ~class_Rings_Omult__zero(_u4544) | ~class_Rings_Ono__zero__divisors(_u4544) | ~class_Rings_Ozero__neq__one(_u4544) | ( _u4545 != c_Groups_Ozero__class_Ozero(_u4544)) | ( _u4546 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4544), _u4545), _u4546) = c_Groups_Ozero__class_Ozero(_u4544)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4547), c_Groups_Oone__class_Oone(_u4547)), _u4548)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4547), c_Groups_Oone__class_Oone(_u4547)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4547), _u4548), _u4549))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u4550) | ~class_Rings_Osemiring__0(_u4550) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4550), c_Groups_Ozero__class_Ozero(_u4550)), hAPP(c_Nat_OSuc, _u4551)) = c_Groups_Ozero__class_Ozero(_u4550)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4552), c_Groups_Oone__class_Oone(_u4552)), _u4553)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4552), _u4553), _u4554) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4552), _u4553), _u4555)) | ( _u4554 = _u4555) )).
% 27.66/27.86 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4552), c_Groups_Oone__class_Oone(_u4552)), _u4553)) | ( _u4554 != _u4555) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4552), _u4553), _u4554) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4552), _u4553), _u4555)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u4556) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4556), _u4557), hAPP(c_Nat_OSuc, _u4558)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4556), hAPP(hAPP(c_Power_Opower__class_Opower(_u4556), _u4557), _u4558)), _u4557)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u4559) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4559), _u4560), hAPP(c_Nat_OSuc, _u4561)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4559), _u4560), hAPP(hAPP(c_Power_Opower__class_Opower(_u4559), _u4560), _u4561))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u4562) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4562), _u4563), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4562)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__add ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u4564) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4564), _u4565), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4566), _u4567)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4564), hAPP(hAPP(c_Power_Opower__class_Opower(_u4564), _u4565), _u4566)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4564), _u4565), _u4567))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u4568) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4568), hAPP(hAPP(c_Power_Opower__class_Opower(_u4568), hAPP(c_Groups_Ouminus__class_Ouminus(_u4568), _u4569)), _u4570)) = hAPP(c_Groups_Oabs__class_Oabs(_u4568), hAPP(hAPP(c_Power_Opower__class_Opower(_u4568), _u4569), _u4570))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4571), hAPP(hAPP(c_Power_Opower__class_Opower(_u4571), _u4572), _u4573)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4571), _u4574), _u4573))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4571), c_Groups_Ozero__class_Ozero(_u4571)), _u4574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4571), _u4572), _u4574)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4575) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4575), _u4576), hAPP(c_Nat_OSuc, _u4577)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4575), _u4578), hAPP(c_Nat_OSuc, _u4577))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4575), c_Groups_Ozero__class_Ozero(_u4575)), _u4576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4575), c_Groups_Ozero__class_Ozero(_u4575)), _u4578)) | ( _u4576 = _u4578) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4579), hAPP(hAPP(c_Power_Opower__class_Opower(_u4579), _u4580), hAPP(c_Nat_OSuc, _u4581))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4579), _u4582), hAPP(c_Nat_OSuc, _u4581)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4579), c_Groups_Ozero__class_Ozero(_u4579)), _u4582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4579), _u4580), _u4582)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4583), c_Groups_Oone__class_Oone(_u4583)), _u4584)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4583), hAPP(hAPP(c_Power_Opower__class_Opower(_u4583), _u4584), _u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4583), _u4584), hAPP(hAPP(c_Power_Opower__class_Opower(_u4583), _u4584), _u4585)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4586) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4586), c_Groups_Oone__class_Oone(_u4586)), _u4587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4586), c_Groups_Oone__class_Oone(_u4586)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4586), _u4587), hAPP(hAPP(c_Power_Opower__class_Opower(_u4586), _u4587), _u4588)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u4589) | ~class_Rings_Osemiring__0(_u4589) | ( _u4590 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4589), c_Groups_Ozero__class_Ozero(_u4589)), _u4590) = c_Groups_Oone__class_Oone(_u4589)) )).
% 27.66/27.86 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u4589) | ~class_Rings_Osemiring__0(_u4589) | ( _u4590 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4589), c_Groups_Ozero__class_Ozero(_u4589)), _u4590) = c_Groups_Ozero__class_Ozero(_u4589)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4591), c_Groups_Oone__class_Oone(_u4591)), _u4592)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4591), c_Groups_Oone__class_Oone(_u4591)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4591), _u4592), hAPP(c_Nat_OSuc, _u4593)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), c_Groups_Oone__class_Oone(_u4594)), _u4595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), hAPP(hAPP(c_Power_Opower__class_Opower(_u4594), _u4595), _u4596)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4594), _u4595), _u4597))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4596), _u4597)) )).
% 27.66/27.86 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), c_Groups_Oone__class_Oone(_u4594)), _u4595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4596), _u4597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), hAPP(hAPP(c_Power_Opower__class_Opower(_u4594), _u4595), _u4596)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4594), _u4595), _u4597))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4598), c_Groups_Oone__class_Oone(_u4598)), _u4599)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4598), hAPP(hAPP(c_Power_Opower__class_Opower(_u4598), _u4599), _u4600)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4598), _u4599), _u4601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4600), _u4601)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4603), _u4604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4602), c_Groups_Oone__class_Oone(_u4602)), _u4605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4602), hAPP(hAPP(c_Power_Opower__class_Opower(_u4602), _u4605), _u4603)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4602), _u4605), _u4604))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u4606) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4606), c_Groups_Ozero__class_Ozero(_u4606)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4606), hAPP(c_Groups_Oabs__class_Oabs(_u4606), _u4607)), _u4608))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4609) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4610), _u4611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4609), c_Groups_Oone__class_Oone(_u4609)), _u4612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4609), hAPP(hAPP(c_Power_Opower__class_Opower(_u4609), _u4612), _u4610)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4609), _u4612), _u4611))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u4613) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4613), hAPP(c_Groups_Ouminus__class_Ouminus(_u4613), _u4614)), _u4615) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4613), hAPP(hAPP(c_Power_Opower__class_Opower(_u4613), hAPP(c_Groups_Ouminus__class_Ouminus(_u4613), c_Groups_Oone__class_Oone(_u4613))), _u4615)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4613), _u4614), _u4615))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4616), c_Groups_Ozero__class_Ozero(_u4616)), _u4617)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4616), _u4617), c_Groups_Oone__class_Oone(_u4616))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4616), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4616), _u4617), hAPP(hAPP(c_Power_Opower__class_Opower(_u4616), _u4617), _u4618))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4616), _u4617), _u4618))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4619) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4619), _u4620), _u4621) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4619), _u4622), _u4621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4619), c_Groups_Ozero__class_Ozero(_u4619)), _u4620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4619), c_Groups_Ozero__class_Ozero(_u4619)), _u4622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4621)) | ( _u4620 = _u4622) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nitpick_Onat__lcm__def ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Nitpick_Onat__lcm__def-1, axiom, ( ( c_Nitpick_Onat__lcm(_u4623, _u4624) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4623), _u4624)), c_Nitpick_Onat__gcd(_u4623, _u4624))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nitpick_Oint__gcd__def ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Nitpick_Oint__gcd__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u4625), _u4626) = 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), _u4625)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4626))))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_one__mod__nat__number__of ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4628))) | ( 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), _u4628)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.86 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), _u4629))) | ( 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), _u4629)) = 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), _u4629)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u4630) | ( c_Power_Opower__class_Opower(_u4630) = c_Power_Opower_Opower(_u4630, c_Groups_Oone__class_Oone(_u4630), c_Groups_Otimes__class_Otimes(_u4630))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_div__nat__number__of ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_div__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4633))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4633)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4635)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_div__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4634))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4634)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4636)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4634)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4636)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_mod__nat__number__of ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_mod__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4639))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4639), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4641)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86 cnf(fact_mod__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4640))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4642))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4640), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4642)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4640)) )).
% 27.66/27.86 cnf(fact_mod__nat__number__of-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4640))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4642))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4640), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4642)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4640), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4642)))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_Nitpick_Oint__lcm__def ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_Nitpick_Oint__lcm__def-1, axiom, ( ( c_Nitpick_Oint__lcm(_u4643, _u4644) = 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), _u4643)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4644))))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_not__neg__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_not__neg__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_not__neg__int ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_not__neg__int-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4645))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_not__neg__1 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_not__neg__1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_not__neg__eq__ge__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_not__neg__eq__ge__0-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4647)) )).
% 27.66/27.86 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)), _u4648)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4648)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_neg__def ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_neg__def-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_neg__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4651), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4651)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_neg__nat ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_neg__nat-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4652)) | ( hAPP(c_Int_Onat, _u4652) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_not__neg__nat ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_not__neg__nat-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4653)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u4653)) = _u4653) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4654, _u4655, _u4656), _u4657), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u4655) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_power_Opower_Opower__Suc ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_power_Opower_Opower__Suc-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4658, _u4659, _u4660), _u4661), hAPP(c_Nat_OSuc, _u4662)) = hAPP(hAPP(_u4660, _u4661), hAPP(hAPP(c_Power_Opower_Opower(_u4658, _u4659, _u4660), _u4661), _u4662))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_neg__imp__number__of__eq__0 ( axiom ) converted to clauses:
% 27.66/27.86 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), _u4663))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4663) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_neg__zminus__int ( axiom ) converted to clauses:
% 27.66/27.86 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, _u4664))))) )).
% 27.66/27.86
% 27.66/27.86 % Formula: fact_eq__nat__number__of ( axiom ) converted to clauses:
% 27.66/27.86 cnf(fact_eq__nat__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4667) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4669)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4669)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.86 cnf(fact_eq__nat__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4667) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4669)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4667))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4669))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4667) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.86 cnf(fact_eq__nat__number__of-3, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4667) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4669)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4667))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4669))) | ( _u4667 = _u4669) )).
% 27.66/27.86 cnf(fact_eq__nat__number__of-4, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670))) | ( _u4668 != _u4670) )).
% 27.66/27.86 cnf(fact_eq__nat__number__of-5, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670))) )).
% 27.66/27.86 cnf(fact_eq__nat__number__of-6, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4668 != _u4670) )).
% 27.66/27.86 cnf(fact_eq__nat__number__of-7, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668))) )).
% 27.66/27.86 cnf(fact_eq__nat__number__of-8, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670))) | ( _u4668 != _u4670) )).
% 27.66/27.86 cnf(fact_eq__nat__number__of-9, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670))) )).
% 27.66/27.87 cnf(fact_eq__nat__number__of-10, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4668 != _u4670) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__number__of__add__left ( axiom ) converted to clauses:
% 27.66/27.87 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), _u4674))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4674)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4676)), _u4678)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4676)), _u4678)) )).
% 27.66/27.87 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), _u4675))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4677))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4675)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4677)), _u4679)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4675)), _u4679)) )).
% 27.66/27.87 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), _u4675))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4677))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4675)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4677)), _u4679)) = 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), _u4675), _u4677))), _u4679)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_int__nat__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_int__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4681))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4681)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.87 cnf(fact_int__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4682))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4682)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4682)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_of__nat__number__of__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_of__nat__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4683) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4684))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4683), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4684)) = c_Groups_Ozero__class_Ozero(_u4683)) )).
% 27.66/27.87 cnf(fact_of__nat__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u4683) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4684))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4683), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4684)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4683), _u4684)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__nat__number__of__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u4687))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4687)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4689)) = 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), _u4689))) )).
% 27.66/27.87 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), _u4688))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4688)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4690)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4688)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4690)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__nat__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4693))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4693)), _u4695) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4695)) )).
% 27.66/27.87 cnf(fact_power__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4694))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4694)), _u4696) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4694)), _u4696))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Suc__nat__number__of__add ( axiom ) converted to clauses:
% 27.66/27.87 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), _u4699))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4699)), _u4701)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4701)) )).
% 27.66/27.87 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), _u4700))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4700)), _u4702)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4700))), _u4702)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Suc__nat__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Suc__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4704))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4704)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.66/27.87 cnf(fact_Suc__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4705))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4705)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4705))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zmod__minus1 ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u4706)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u4706) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4706), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__pos__neg__trivial ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u4707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4707), _u4708)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4707), _u4708) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_int__val__lemma ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_int__val__lemma-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem80(_u4713, _u4712, _u4711)), _u4711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4712, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4713), hAPP(_u4712, _u4711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem81(_u4713, _u4712, _u4711)), _u4711)) )).
% 27.66/27.87 cnf(fact_int__val__lemma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem80(_u4713, _u4712, _u4711)), _u4711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4712, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4713), hAPP(_u4712, _u4711))) | ( hAPP(_u4712, skolem81(_u4713, _u4712, _u4711)) = _u4713) )).
% 27.66/27.87 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(_u4712, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem80(_u4713, _u4712, _u4711)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4712, skolem80(_u4713, _u4712, _u4711))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4712, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4713), hAPP(_u4712, _u4711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem81(_u4713, _u4712, _u4711)), _u4711)) )).
% 27.66/27.87 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(_u4712, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem80(_u4713, _u4712, _u4711)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4712, skolem80(_u4713, _u4712, _u4711))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4712, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4713), hAPP(_u4712, _u4711))) | ( hAPP(_u4712, skolem81(_u4713, _u4712, _u4711)) = _u4713) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat0__intermed__int__val ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat0__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem82(_u4718, _u4717, _u4716)), _u4716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4717, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4718), hAPP(_u4717, _u4716))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem83(_u4718, _u4717, _u4716)), _u4716)) )).
% 27.66/27.87 cnf(fact_nat0__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem82(_u4718, _u4717, _u4716)), _u4716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4717, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4718), hAPP(_u4717, _u4716))) | ( hAPP(_u4717, skolem83(_u4718, _u4717, _u4716)) = _u4718) )).
% 27.66/27.87 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(_u4717, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem82(_u4718, _u4717, _u4716)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4717, skolem82(_u4718, _u4717, _u4716))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4717, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4718), hAPP(_u4717, _u4716))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem83(_u4718, _u4717, _u4716)), _u4716)) )).
% 27.66/27.87 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(_u4717, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem82(_u4718, _u4717, _u4716)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4717, skolem82(_u4718, _u4717, _u4716))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4717, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4718), hAPP(_u4717, _u4716))) | ( hAPP(_u4717, skolem83(_u4718, _u4717, _u4716)) = _u4718) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_eq__number__of__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_eq__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4719) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4719), _u4720) != hAPP(c_Int_Onumber__class_Onumber__of(_u4719), _u4721)) | c_Int_Oiszero(_u4719, hAPP(c_Int_Onumber__class_Onumber__of(_u4719), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4720), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4721)))) )).
% 27.66/27.87 cnf(fact_eq__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u4719) | ~c_Int_Oiszero(_u4719, hAPP(c_Int_Onumber__class_Onumber__of(_u4719), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4720), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4721)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4719), _u4720) = hAPP(c_Int_Onumber__class_Onumber__of(_u4719), _u4721)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__bin__simps_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__bin__simps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4722), c_Int_OMin) = c_Int_Osucc(_u4722)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nonzero__number__of__Min ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nonzero__number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u4723) | ~c_Int_Oiszero(_u4723, hAPP(c_Int_Onumber__class_Onumber__of(_u4723), c_Int_OMin)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I24_J ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I7_J ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u4724) | ~c_Int_Oiszero(_u4724, _u4725) | ( _u4725 = c_Groups_Ozero__class_Ozero(_u4724)) )).
% 27.66/27.87 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u4724) | ( _u4725 != c_Groups_Ozero__class_Ozero(_u4724)) | c_Int_Oiszero(_u4724, _u4725) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u4726) | c_Int_Oiszero(_u4726, c_Groups_Ozero__class_Ozero(_u4726)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u4727) | ~c_Int_Oiszero(_u4727, c_Groups_Oone__class_Oone(_u4727)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_bin__less__0__simps_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Int_OMin__def ( axiom ) converted to clauses:
% 27.66/27.87 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__Min ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u4728) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4728)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_neg__number__of__Min ( axiom ) converted to clauses:
% 27.66/27.87 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__minus1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__minus1-1, axiom, ( ~class_Int_Onumber__ring(_u4729) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4729), hAPP(c_Int_Onumber__class_Onumber__of(_u4729), c_Int_OMin)), _u4730) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4729), _u4730)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__minus1__right ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__minus1__right-1, axiom, ( ~class_Int_Onumber__ring(_u4731) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4731), _u4732), hAPP(c_Int_Onumber__class_Onumber__of(_u4731), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4731), _u4732)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_number__of__Min ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u4733) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4733), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4733), c_Groups_Oone__class_Oone(_u4733))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_arith__simps_I31_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_arith__simps_I31_J-1, axiom, ( ~class_Int_Onumber__ring(_u4734) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4734), c_Groups_Oone__class_Oone(_u4734)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4734), c_Int_OMin)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_abs__minus__one ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_abs__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u4735) | ~class_Rings_Olinordered__idom(_u4735) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4735), hAPP(c_Int_Onumber__class_Onumber__of(_u4735), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u4735)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zmod__minus1__right ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zmod__minus1__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4736, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pos__zmult__eq__1__iff__lemma ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_pos__zmult__eq__1__iff__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4737), _u4738) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4737 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4737 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zmult__eq__1__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zmult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4741), _u4743) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4741 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4741 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.66/27.87 cnf(fact_zmult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4741), _u4743) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4741 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4743 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.66/27.87 cnf(fact_zmult__eq__1__iff-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4741), _u4743) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4743 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4741 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.66/27.87 cnf(fact_zmult__eq__1__iff-4, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4741), _u4743) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4743 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4743 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.66/27.87 cnf(fact_zmult__eq__1__iff-5, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4742), _u4744) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4742 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4744 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.66/27.87 cnf(fact_zmult__eq__1__iff-6, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4742), _u4744) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4742 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u4744 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_of__int__m1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_of__int__m1-1, axiom, ( ~class_Int_Onumber__ring(_u4745) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4745), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4745), c_Int_OMin)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zdiv__minus1__right ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zdiv__minus1__right-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4746), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4746)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_succ__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_succ__def-1, axiom, ( ( c_Int_Osucc(_u4747) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4747), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_abs__power__minus__one ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_abs__power__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u4748) | ~class_Rings_Olinordered__idom(_u4748) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4748), hAPP(hAPP(c_Power_Opower__class_Opower(_u4748), hAPP(c_Int_Onumber__class_Onumber__of(_u4748), c_Int_OMin)), _u4749)) = c_Groups_Oone__class_Oone(_u4748)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__eq__minus1 ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u4750)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u4750) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_number__of__succ ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_number__of__succ-1, axiom, ( ~class_Int_Onumber__ring(_u4751) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4751), c_Int_Osucc(_u4752)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4751), c_Groups_Oone__class_Oone(_u4751)), hAPP(c_Int_Onumber__class_Onumber__of(_u4751), _u4752))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__number__of__add__1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__number__of__add__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4754), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4754)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.66/27.87 cnf(fact_nat__number__of__add__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4755), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4755)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4755))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__1__add__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__1__add__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4757), 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), _u4757)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.66/27.87 cnf(fact_nat__1__add__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4758), 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), _u4758)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4758))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_eq__special_I1_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_eq__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4759) | ( c_Groups_Ozero__class_Ozero(_u4759) != hAPP(c_Int_Onumber__class_Onumber__of(_u4759), _u4760)) | c_Int_Oiszero(_u4759, hAPP(c_Int_Onumber__class_Onumber__of(_u4759), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4760)))) )).
% 27.66/27.87 cnf(fact_eq__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4759) | ~c_Int_Oiszero(_u4759, hAPP(c_Int_Onumber__class_Onumber__of(_u4759), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4760)))) | ( c_Groups_Ozero__class_Ozero(_u4759) = hAPP(c_Int_Onumber__class_Onumber__of(_u4759), _u4760)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_eq__special_I3_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_eq__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4761) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4761), _u4762) != c_Groups_Ozero__class_Ozero(_u4761)) | c_Int_Oiszero(_u4761, hAPP(c_Int_Onumber__class_Onumber__of(_u4761), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4762), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 27.66/27.87 cnf(fact_eq__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4761) | ~c_Int_Oiszero(_u4761, hAPP(c_Int_Onumber__class_Onumber__of(_u4761), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4762), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4761), _u4762) = c_Groups_Ozero__class_Ozero(_u4761)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_neg__number__of__pred__iff__0 ( axiom ) converted to clauses:
% 27.66/27.87 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(_u4764)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4764) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.87 cnf(fact_neg__number__of__pred__iff__0-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4765) != 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(_u4765)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4769), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4769)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4771)), _u4773)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.87 cnf(fact_nat__number__of__mult__left-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4770), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4770)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4772)), _u4774)) = 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), _u4770), _u4772))), _u4774)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4777), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4777)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4779)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.87 cnf(fact_mult__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4778), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4778)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4780)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4778), _u4780))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pred__Pls ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_pred__Pls-1, axiom, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__Pls__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4781), c_Int_OPls) = _u4781) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u4782) = _u4782) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u4783) = c_Int_OPls) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__bin__simps_I1_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__bin__simps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4784), c_Int_OPls) = _u4784) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_minus__Pls ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_minus__Pls-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I40_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I40_J-1, axiom, ( ( c_Int_OMin != c_Int_OPls) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I37_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I37_J-1, axiom, ( ( c_Int_OPls != c_Int_OMin) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_succ__pred ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_succ__pred-1, axiom, ( ( c_Int_Osucc(c_Int_Opred(_u4785)) = _u4785) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u4786) | ( c_Groups_Ozero__class_Ozero(_u4786) = hAPP(c_Int_Onumber__class_Onumber__of(_u4786), c_Int_OPls)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u4787) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4787), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u4787)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u4788) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4788), _u4789), hAPP(c_Int_Onumber__class_Onumber__of(_u4788), c_Int_OPls)) = _u4789) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u4790) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4790), hAPP(c_Int_Onumber__class_Onumber__of(_u4790), c_Int_OPls)), _u4791) = _u4791) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 27.66/27.87 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Suc__diff__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Suc__diff__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4792)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4793)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4792)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4793), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4792)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I23_J ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I20_J ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I6_J ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I3_J ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_eq__number__of__Pls__Min ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_not__neg__number__of__Pls ( axiom ) converted to clauses:
% 27.66/27.87 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u4794) | c_Int_Oiszero(_u4794, hAPP(c_Int_Onumber__class_Onumber__of(_u4794), c_Int_OPls)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_succ__Min ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_succ__Min-1, axiom, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_le__iff__pred__less ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_le__iff__pred__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4797), _u4799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4797)), _u4799)) )).
% 27.66/27.87 cnf(fact_le__iff__pred__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4798)), _u4800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4798), _u4800)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pred__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_pred__def-1, axiom, ( ( c_Int_Opred(_u4801) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4801), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__Min ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u4802) = c_Int_Opred(_u4802)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__Min__right ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__Min__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4803), c_Int_OMin) = c_Int_Opred(_u4803)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__number__of__diff__1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__number__of__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4805), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4805)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.87 cnf(fact_nat__number__of__diff__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4806), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4806)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4806))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u4808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4808), c_Int_OPls)) )).
% 27.66/27.87 cnf(fact_eq__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4809), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4809)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_eq__number__of__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4811) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4811), c_Int_OPls)) )).
% 27.66/27.87 cnf(fact_eq__number__of__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4812), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4812) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 27.66/27.87 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u4815)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), _u4817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4817)) )).
% 27.66/27.87 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), _u4815)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), _u4817)) )).
% 27.66/27.87 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), _u4816)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4818))) | ~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_OPls), _u4818)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u4821)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4823))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4821), _u4823)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4821), c_Int_OPls)) )).
% 27.66/27.87 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), _u4822)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4824))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4822), _u4824)) )).
% 27.66/27.87 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), _u4822)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4824))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4822), c_Int_OPls)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4825) | ~class_Rings_Olinordered__idom(_u4825) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4825), c_Groups_Ozero__class_Ozero(_u4825)), hAPP(c_Int_Onumber__class_Onumber__of(_u4825), _u4826))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4826)) )).
% 27.66/27.87 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4825) | ~class_Rings_Olinordered__idom(_u4825) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4825), c_Groups_Ozero__class_Ozero(_u4825)), hAPP(c_Int_Onumber__class_Onumber__of(_u4825), _u4826))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4827) | ~class_Rings_Olinordered__idom(_u4827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4827), hAPP(c_Int_Onumber__class_Onumber__of(_u4827), _u4828)), c_Groups_Ozero__class_Ozero(_u4827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4828), c_Int_OPls)) )).
% 27.66/27.87 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4827) | ~class_Rings_Olinordered__idom(_u4827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4828), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4827), hAPP(c_Int_Onumber__class_Onumber__of(_u4827), _u4828)), c_Groups_Ozero__class_Ozero(_u4827))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4829) | ~class_Rings_Olinordered__idom(_u4829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4829), hAPP(c_Int_Onumber__class_Onumber__of(_u4829), _u4830)), c_Groups_Ozero__class_Ozero(_u4829))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4830), c_Int_OPls)) )).
% 27.66/27.87 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4829) | ~class_Rings_Olinordered__idom(_u4829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4830), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4829), hAPP(c_Int_Onumber__class_Onumber__of(_u4829), _u4830)), c_Groups_Ozero__class_Ozero(_u4829))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4831) | ~class_Rings_Olinordered__idom(_u4831) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4831), c_Groups_Ozero__class_Ozero(_u4831)), hAPP(c_Int_Onumber__class_Onumber__of(_u4831), _u4832))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4832)) )).
% 27.66/27.87 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4831) | ~class_Rings_Olinordered__idom(_u4831) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4831), c_Groups_Ozero__class_Ozero(_u4831)), hAPP(c_Int_Onumber__class_Onumber__of(_u4831), _u4832))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u4834))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4834)) )).
% 27.66/27.87 cnf(fact_less__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4835)) | 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), _u4835))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4838), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4838)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4840)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4840)) )).
% 27.66/27.87 cnf(fact_add__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4839), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4841), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4839)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4841)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4839)) )).
% 27.66/27.87 cnf(fact_add__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4839), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4841), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4839)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4841)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4839), _u4841))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_number__of__pred ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_number__of__pred-1, axiom, ( ~class_Int_Onumber__ring(_u4842) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4842), c_Int_Opred(_u4843)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4842), hAPP(c_Groups_Ouminus__class_Ouminus(_u4842), c_Groups_Oone__class_Oone(_u4842))), hAPP(c_Int_Onumber__class_Onumber__of(_u4842), _u4843))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_eq__special_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_eq__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4844) | ( c_Groups_Oone__class_Oone(_u4844) != hAPP(c_Int_Onumber__class_Onumber__of(_u4844), _u4845)) | c_Int_Oiszero(_u4844, hAPP(c_Int_Onumber__class_Onumber__of(_u4844), 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), _u4845)))) )).
% 27.66/27.87 cnf(fact_eq__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u4844) | ~c_Int_Oiszero(_u4844, hAPP(c_Int_Onumber__class_Onumber__of(_u4844), 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), _u4845)))) | ( c_Groups_Oone__class_Oone(_u4844) = hAPP(c_Int_Onumber__class_Onumber__of(_u4844), _u4845)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_eq__special_I4_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_eq__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u4846) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4846), _u4847) != c_Groups_Oone__class_Oone(_u4846)) | c_Int_Oiszero(_u4846, hAPP(c_Int_Onumber__class_Onumber__of(_u4846), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4847), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 27.66/27.87 cnf(fact_eq__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u4846) | ~c_Int_Oiszero(_u4846, hAPP(c_Int_Onumber__class_Onumber__of(_u4846), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4847), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4846), _u4847) = c_Groups_Oone__class_Oone(_u4846)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__special_I1_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4848) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4848), c_Groups_Oone__class_Oone(_u4848)), hAPP(c_Int_Onumber__class_Onumber__of(_u4848), _u4849)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4848), 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), _u4849)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__special_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4850) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4850), hAPP(c_Int_Onumber__class_Onumber__of(_u4850), _u4851)), c_Groups_Oone__class_Oone(_u4850)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4850), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4851), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__Suc__eq__div__add3 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_div__Suc__eq__div__add3-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4852), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4853)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4852), 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)))), _u4853))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Suc__div__eq__add3__div ( axiom ) converted to clauses:
% 27.66/27.87 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, _u4854)))), _u4855) = 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)))), _u4854)), _u4855)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u4858) != c_Int_OBit1(_u4860)) | ( _u4858 = _u4860) )).
% 27.66/27.87 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u4859 != _u4861) | ( c_Int_OBit1(_u4859) = c_Int_OBit1(_u4861)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u4864)), c_Int_OBit1(_u4866))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4864), _u4866)) )).
% 27.66/27.87 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4865), _u4867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4865)), c_Int_OBit1(_u4867))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I34_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4870)), c_Int_OBit1(_u4872))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4870), _u4872)) )).
% 27.66/27.87 cnf(fact_rel__simps_I34_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4871), _u4873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4871)), c_Int_OBit1(_u4873))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4876)), c_Int_OBit1(_u4878))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4876), _u4878)) )).
% 27.66/27.87 cnf(fact_less__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4877), _u4879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4877)), c_Int_OBit1(_u4879))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I17_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4882)), c_Int_OBit1(_u4884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4882), _u4884)) )).
% 27.66/27.87 cnf(fact_rel__simps_I17_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4883), _u4885)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4883)), c_Int_OBit1(_u4885))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u4886) != c_Int_OPls) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u4887)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I47_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I47_J-1, axiom, ( ( c_Int_OBit1(_u4889) != c_Int_OMin) | ( _u4889 = c_Int_OMin) )).
% 27.66/27.87 cnf(fact_rel__simps_I47_J-2, axiom, ( ( _u4890 != c_Int_OMin) | ( c_Int_OBit1(_u4890) = c_Int_OMin) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I43_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I43_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit1(_u4892)) | ( c_Int_OMin = _u4892) )).
% 27.66/27.87 cnf(fact_rel__simps_I43_J-2, axiom, ( ( c_Int_OMin != _u4893) | ( c_Int_OMin = c_Int_OBit1(_u4893)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Bit1__Min ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Bit1__Min-1, axiom, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4895)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4895), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.87 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4896), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4896)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u4898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4898)) )).
% 27.66/27.87 cnf(fact_rel__simps_I22_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4899))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4901)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4901), c_Int_OPls)) )).
% 27.66/27.87 cnf(fact_rel__simps_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4902), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4902)), c_Int_OPls)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u4903) = 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)), _u4903)), _u4903)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I30_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I30_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4905)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4905), c_Int_OMin)) )).
% 27.66/27.87 cnf(fact_rel__simps_I30_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4906), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4906)), c_Int_OMin)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I26_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u4908))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4908)) )).
% 27.66/27.87 cnf(fact_rel__simps_I26_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4909))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I13_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4911)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4911), c_Int_OMin)) )).
% 27.66/27.87 cnf(fact_rel__simps_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4912), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4912)), c_Int_OMin)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I9_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u4914))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4914)) )).
% 27.66/27.87 cnf(fact_rel__simps_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4915))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_neg__number__of__Bit1 ( axiom ) converted to clauses:
% 27.66/27.87 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(_u4917)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4917))) )).
% 27.66/27.87 cnf(fact_neg__number__of__Bit1-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4918))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4918)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_minus__Bit1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_minus__Bit1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u4919)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4919)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u4920) | ~class_Int_Oring__char__0(_u4920) | ~c_Int_Oiszero(_u4920, hAPP(c_Int_Onumber__class_Onumber__of(_u4920), c_Int_OBit1(_u4921))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_succ__Pls ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_succ__Pls-1, axiom, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u4922) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4922), c_Int_OBit1(_u4923)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4922), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4922), c_Groups_Oone__class_Oone(_u4922)), hAPP(c_Int_Onumber__class_Onumber__of(_u4922), _u4923))), hAPP(c_Int_Onumber__class_Onumber__of(_u4922), _u4923))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u4924) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4924), hAPP(c_Int_Onumber__class_Onumber__of(_u4924), c_Int_OBit1(c_Int_OPls))), _u4925) = _u4925) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u4926) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4926), _u4927), hAPP(c_Int_Onumber__class_Onumber__of(_u4926), c_Int_OBit1(c_Int_OPls))) = _u4927) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u4928) | ( c_Groups_Oone__class_Oone(_u4928) = hAPP(c_Int_Onumber__class_Onumber__of(_u4928), c_Int_OBit1(c_Int_OPls))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u4929) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4929), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u4929)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u4931))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4931)) )).
% 27.66/27.87 cnf(fact_rel__simps_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4932))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I29_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4934)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4934), c_Int_OPls)) )).
% 27.66/27.87 cnf(fact_rel__simps_I29_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4935), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4935)), c_Int_OPls)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 27.66/27.87 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 27.66/27.87 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__bin__simps_I4_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u4936)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u4936))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_minus__Min ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_minus__Min-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u4937) | ~c_Int_Oiszero(_u4937, hAPP(c_Int_Onumber__class_Onumber__of(_u4937), c_Int_OBit1(c_Int_OPls))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_numeral__3__eq__3 ( axiom ) converted to clauses:
% 27.66/27.87 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))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_numeral__1__eq__Suc__0 ( axiom ) converted to clauses:
% 27.66/27.87 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u4938) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4938), _u4939), 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(_u4938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4938), _u4939), _u4939)), _u4939)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 27.66/27.87 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))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Suc3__eq__add__3 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Suc3__eq__add__3-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4940))) = 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)))), _u4940)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_transfer__int__nat__numerals_I4_J ( axiom ) converted to clauses:
% 27.66/27.87 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))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_transfer__nat__int__numerals_I4_J ( axiom ) converted to clauses:
% 27.66/27.87 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))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4941) | ~class_Rings_Olinordered__idom(_u4941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4941), c_Groups_Oone__class_Oone(_u4941)), hAPP(c_Int_Onumber__class_Onumber__of(_u4941), _u4942))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4942)) )).
% 27.66/27.87 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u4941) | ~class_Rings_Olinordered__idom(_u4941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4941), c_Groups_Oone__class_Oone(_u4941)), hAPP(c_Int_Onumber__class_Onumber__of(_u4941), _u4942))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u4943) | ~class_Rings_Olinordered__idom(_u4943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4943), hAPP(c_Int_Onumber__class_Onumber__of(_u4943), _u4944)), c_Groups_Oone__class_Oone(_u4943))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4944), c_Int_OBit1(c_Int_OPls))) )).
% 27.66/27.87 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u4943) | ~class_Rings_Olinordered__idom(_u4943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4944), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4943), hAPP(c_Int_Onumber__class_Onumber__of(_u4943), _u4944)), c_Groups_Oone__class_Oone(_u4943))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4945) | ~class_Rings_Olinordered__idom(_u4945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4945), c_Groups_Oone__class_Oone(_u4945)), hAPP(c_Int_Onumber__class_Onumber__of(_u4945), _u4946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4946)) )).
% 27.66/27.87 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u4945) | ~class_Rings_Olinordered__idom(_u4945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4945), c_Groups_Oone__class_Oone(_u4945)), hAPP(c_Int_Onumber__class_Onumber__of(_u4945), _u4946))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u4947) | ~class_Rings_Olinordered__idom(_u4947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4947), hAPP(c_Int_Onumber__class_Onumber__of(_u4947), _u4948)), c_Groups_Oone__class_Oone(_u4947))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4948), c_Int_OBit1(c_Int_OPls))) )).
% 27.66/27.87 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u4947) | ~class_Rings_Olinordered__idom(_u4947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4948), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4947), hAPP(c_Int_Onumber__class_Onumber__of(_u4947), _u4948)), c_Groups_Oone__class_Oone(_u4947))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4949) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4949), hAPP(c_Int_Onumber__class_Onumber__of(_u4949), _u4950)), c_Groups_Oone__class_Oone(_u4949)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4949), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4950), c_Int_OBit1(c_Int_OPls)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4951) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4951), c_Groups_Oone__class_Oone(_u4951)), hAPP(c_Int_Onumber__class_Onumber__of(_u4951), _u4952)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4952))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Suc__diff__eq__diff__pred ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u4953)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4954)), _u4953) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4954), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4953), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Suc__mod__eq__add3__mod__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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, _u4955))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4956)) = 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)))), _u4955), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4956))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Suc__mod__eq__add3__mod ( axiom ) converted to clauses:
% 27.66/27.87 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, _u4957))), _u4958) = 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)))), _u4957), _u4958)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mod__Suc__eq__mod__add3 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mod__Suc__eq__mod__add3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4959, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4960)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4959, 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)))), _u4960))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Suc__div__eq__add3__div__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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, _u4961)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4962)) = 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)))), _u4961)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4962))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_neg__zmod__mult__2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_neg__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4963), 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)))), _u4964)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4963)) = 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), _u4964), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4963))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zmod__number__of__Bit1 ( axiom ) converted to clauses:
% 27.66/27.87 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), _u4967))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4969)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4967))) = 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), _u4969), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4967)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.66/27.87 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), _u4968))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4970)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4968))) = 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), _u4970)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4968)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_neg__zdiv__mult__2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_neg__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4971), 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)))), _u4972))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4971)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4972), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4971)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pos__zdiv__mult__2 ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u4973)) | ( 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)))), _u4974))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4973)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4974), _u4973)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pos__zmod__mult__2 ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u4975)) | ( 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)))), _u4976)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4975)) = 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, _u4976, _u4975)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_of__nat__double ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_of__nat__double-1, axiom, ( ~class_Rings_Osemiring__1(_u4977) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4978)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4977), 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)))), _u4978))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4977), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4977), hAPP(c_Int_Onat, _u4978))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4977), hAPP(c_Int_Onat, _u4978)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u4981) != c_Int_OBit0(_u4983)) | ( _u4981 = _u4983) )).
% 27.66/27.87 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u4982 != _u4984) | ( c_Int_OBit0(_u4982) = c_Int_OBit0(_u4984)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I31_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4987)), c_Int_OBit0(_u4989))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4987), _u4989)) )).
% 27.66/27.87 cnf(fact_rel__simps_I31_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4988), _u4990)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4988)), c_Int_OBit0(_u4990))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u4993)), c_Int_OBit0(_u4995))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4993), _u4995)) )).
% 27.66/27.87 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4994), _u4996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4994)), c_Int_OBit0(_u4996))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4999)), c_Int_OBit0(_u5001))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4999), _u5001)) )).
% 27.66/27.87 cnf(fact_rel__simps_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5000), _u5002)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5000)), c_Int_OBit0(_u5002))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5005)), c_Int_OBit0(_u5007))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5005), _u5007)) )).
% 27.66/27.87 cnf(fact_less__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5006), _u5008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5006)), c_Int_OBit0(_u5008))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u5010)) | ( c_Int_OPls = _u5010) )).
% 27.66/27.87 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u5011) | ( c_Int_OPls = c_Int_OBit0(_u5011)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u5013) != c_Int_OPls) | ( _u5013 = c_Int_OPls) )).
% 27.66/27.87 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u5014 != c_Int_OPls) | ( c_Int_OBit0(_u5014) = c_Int_OPls) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u5015) != c_Int_OBit1(_u5016)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u5017) != c_Int_OBit0(_u5018)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5019)), c_Int_OBit0(_u5020)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5019), _u5020))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u5021) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5021), _u5021)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u5022)), _u5023) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5022), _u5023))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__bin__simps_I7_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__bin__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5024)), c_Int_OBit0(_u5025)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5024), _u5025))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_minus__Bit0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_minus__Bit0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u5026)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5026))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I42_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I42_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit0(_u5027)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I45_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I45_J-1, axiom, ( ( c_Int_OBit0(_u5028) != c_Int_OMin) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5030)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5030), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.87 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5031), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5031)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5033)) )).
% 27.66/27.87 cnf(fact_rel__simps_I21_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5034))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I27_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5036)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5036), c_Int_OPls)) )).
% 27.66/27.87 cnf(fact_rel__simps_I27_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5037), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5037)), c_Int_OPls)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I32_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5040)), c_Int_OBit1(_u5042))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5040), _u5042)) )).
% 27.66/27.87 cnf(fact_rel__simps_I32_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5041), _u5043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5041)), c_Int_OBit1(_u5043))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5046)), c_Int_OBit1(_u5048))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5046), _u5048)) )).
% 27.66/27.87 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5047), _u5049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5047)), c_Int_OBit1(_u5049))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5051))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5051)) )).
% 27.66/27.87 cnf(fact_rel__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5052))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5054)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5054), c_Int_OPls)) )).
% 27.66/27.87 cnf(fact_rel__simps_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5055), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5055)), c_Int_OPls)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5058)), c_Int_OBit0(_u5060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5058), _u5060)) )).
% 27.66/27.87 cnf(fact_rel__simps_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5059), _u5061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5059)), c_Int_OBit0(_u5061))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5064)), c_Int_OBit0(_u5066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5064), _u5066)) )).
% 27.66/27.87 cnf(fact_less__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5065), _u5067)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5065)), c_Int_OBit0(_u5067))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5068)), c_Int_OBit1(_u5069)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5068), _u5069))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5070)), c_Int_OBit0(_u5071)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5070), _u5071))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__bin__simps_I3_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5072)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u5072))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__bin__simps_I9_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__bin__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5073)), c_Int_OBit0(_u5074)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5073), _u5074))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__bin__simps_I10_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__bin__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5075)), c_Int_OBit1(_u5076)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5075), _u5076))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I28_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I28_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5078)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5078), c_Int_OMin)) )).
% 27.66/27.87 cnf(fact_rel__simps_I28_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5079), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5079)), c_Int_OMin)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I8_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5081))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5081)) )).
% 27.66/27.87 cnf(fact_rel__simps_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5082))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zdiv__number__of__Bit0 ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5083))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5084))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5083)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5084))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_neg__number__of__Bit0 ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5086)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5086))) )).
% 27.66/27.87 cnf(fact_neg__number__of__Bit0-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5087))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5087)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pred__Bit0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_pred__Bit0-1, axiom, ( ( c_Int_Opred(c_Int_OBit0(_u5088)) = c_Int_OBit1(c_Int_Opred(_u5088))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pred__Bit1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_pred__Bit1-1, axiom, ( ( c_Int_Opred(c_Int_OBit1(_u5089)) = c_Int_OBit0(_u5089)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pred__Min ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_pred__Min-1, axiom, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u5090) | ~class_Int_Oring__char__0(_u5090) | ~c_Int_Oiszero(_u5090, hAPP(c_Int_Onumber__class_Onumber__of(_u5090), c_Int_OBit0(_u5091))) | c_Int_Oiszero(_u5090, hAPP(c_Int_Onumber__class_Onumber__of(_u5090), _u5091)) )).
% 27.66/27.87 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u5090) | ~class_Int_Oring__char__0(_u5090) | ~c_Int_Oiszero(_u5090, hAPP(c_Int_Onumber__class_Onumber__of(_u5090), _u5091)) | c_Int_Oiszero(_u5090, hAPP(c_Int_Onumber__class_Onumber__of(_u5090), c_Int_OBit0(_u5091))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_succ__Bit1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_succ__Bit1-1, axiom, ( ( c_Int_Osucc(c_Int_OBit1(_u5092)) = c_Int_OBit0(c_Int_Osucc(_u5092))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_succ__Bit0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_succ__Bit0-1, axiom, ( ( c_Int_Osucc(c_Int_OBit0(_u5093)) = c_Int_OBit1(_u5093)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u5094) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5094), c_Int_OBit0(_u5095)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5094), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5094), c_Groups_Ozero__class_Ozero(_u5094)), hAPP(c_Int_Onumber__class_Onumber__of(_u5094), _u5095))), hAPP(c_Int_Onumber__class_Onumber__of(_u5094), _u5095))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5098)), c_Int_OBit0(_u5100))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5098), _u5100)) )).
% 27.66/27.87 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5099), _u5101)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5099)), c_Int_OBit0(_u5101))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I33_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5104)), c_Int_OBit0(_u5106))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5104), _u5106)) )).
% 27.66/27.87 cnf(fact_rel__simps_I33_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5105), _u5107)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5105)), c_Int_OBit0(_u5107))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5110)), c_Int_OBit1(_u5112))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5110), _u5112)) )).
% 27.66/27.87 cnf(fact_less__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5111), _u5113)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5111)), c_Int_OBit1(_u5113))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5116)), c_Int_OBit1(_u5118))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5116), _u5118)) )).
% 27.66/27.87 cnf(fact_rel__simps_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5117), _u5119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5117)), c_Int_OBit1(_u5119))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u5120)), _u5121) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5120), _u5121))), _u5121)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I11_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_rel__simps_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5123)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5123), c_Int_OMin)) )).
% 27.66/27.87 cnf(fact_rel__simps_I11_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5124), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5124)), c_Int_OMin)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_rel__simps_I25_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5126))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5126)) )).
% 27.66/27.87 cnf(fact_rel__simps_I25_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5127)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5127))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__bin__simps_I5_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5128)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5128))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__bin__simps_I6_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5129)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5129))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__bin__simps_I8_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__bin__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5130)), c_Int_OBit1(_u5131)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u5130)), _u5131))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__Bit1__Bit1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__Bit1__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5132)), c_Int_OBit1(_u5133)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5132), c_Int_Osucc(_u5133)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u5134) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5134), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5134), c_Groups_Oone__class_Oone(_u5134)), c_Groups_Oone__class_Oone(_u5134))), hAPP(c_Int_Onumber__class_Onumber__of(_u5134), _u5135)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5134), c_Int_OBit0(_u5135))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5136))) | 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(_u5136)))) )).
% 27.66/27.87 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), _u5136))) | 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(_u5136)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u5137) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5137), hAPP(c_Int_Onumber__class_Onumber__of(_u5137), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5138) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5137), _u5138), _u5138)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u5139) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5139), _u5140), hAPP(c_Int_Onumber__class_Onumber__of(_u5139), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5139), _u5140), _u5140)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u5141) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5141), c_Groups_Oone__class_Oone(_u5141)), c_Groups_Oone__class_Oone(_u5141)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5141), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u5142) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5142), c_Groups_Ozero__class_Ozero(_u5142)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u5142)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5143) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5143), _u5144), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u5143)) | ( _u5144 = c_Groups_Ozero__class_Ozero(_u5143)) )).
% 27.66/27.87 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5143) | ( _u5144 != c_Groups_Ozero__class_Ozero(_u5143)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5143), _u5144), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u5143)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_numeral__2__eq__2 ( axiom ) converted to clauses:
% 27.66/27.87 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)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_semiring__norm_I115_J ( axiom ) converted to clauses:
% 27.66/27.87 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)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5145) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5145), _u5146), _u5146) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5145), _u5146), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u5147) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5147), _u5148), 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(_u5147), _u5148), _u5148)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 27.66/27.87 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))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__2__eq__Suc_H ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__2__eq__Suc_H-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5149), 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, _u5149))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__2__eq__Suc ( axiom ) converted to clauses:
% 27.66/27.87 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)))), _u5150) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5150))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u5151) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5151), c_Groups_Oone__class_Oone(_u5151)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5151)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power2__minus ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power2__minus-1, axiom, ( ~class_Rings_Oring__1(_u5152) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5152), hAPP(c_Groups_Ouminus__class_Ouminus(_u5152), _u5153)), 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(_u5152), _u5153), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 27.66/27.87 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)))), _u5154) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5154), _u5154)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__mult__2__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5155), 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), _u5155), _u5155)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u5156) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5156), _u5157), 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)))), _u5158)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5156), hAPP(hAPP(c_Power_Opower__class_Opower(_u5156), _u5157), _u5158)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_transfer__int__nat__numerals_I3_J ( axiom ) converted to clauses:
% 27.66/27.87 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))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_transfer__nat__int__numerals_I3_J ( axiom ) converted to clauses:
% 27.66/27.87 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))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_abs__power2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_abs__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u5159) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5159), hAPP(hAPP(c_Power_Opower__class_Opower(_u5159), _u5160), 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(_u5159), _u5160), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power2__abs ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power2__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u5161) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5161), hAPP(c_Groups_Oabs__class_Oabs(_u5161), _u5162)), 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(_u5161), _u5162), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 27.66/27.87 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)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mod2__Suc__Suc ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mod2__Suc__Suc-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _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))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div2__Suc__Suc ( axiom ) converted to clauses:
% 27.66/27.87 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, _u5164))), 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), _u5164), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zmod__number__of__Bit0 ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5165)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5166))) = hAPP(hAPP(c_Groups_Otimes__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), _u5165), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5166)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__self__div__2 ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5167), _u5167)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u5167) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u5168) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5168), c_Groups_Ozero__class_Ozero(_u5168)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5168), _u5169), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5170) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5170), hAPP(hAPP(c_Power_Opower__class_Opower(_u5170), _u5171), 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(_u5170), _u5172), 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(_u5170), c_Groups_Ozero__class_Ozero(_u5170)), _u5172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5170), _u5171), _u5172)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5173) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5173), _u5174), 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(_u5173), _u5175), 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(_u5173), c_Groups_Ozero__class_Ozero(_u5173)), _u5174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5173), c_Groups_Ozero__class_Ozero(_u5173)), _u5175)) | ( _u5174 = _u5175) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u5176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5176), c_Groups_Ozero__class_Ozero(_u5176)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5176), _u5177), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u5177 != c_Groups_Ozero__class_Ozero(_u5176)) )).
% 27.66/27.87 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u5176) | ( _u5177 = c_Groups_Ozero__class_Ozero(_u5176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5176), c_Groups_Ozero__class_Ozero(_u5176)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5176), _u5177), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u5178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5178), hAPP(hAPP(c_Power_Opower__class_Opower(_u5178), _u5179), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u5178))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5180) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5180), hAPP(hAPP(c_Power_Opower__class_Opower(_u5180), _u5181), 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(_u5180), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u5180)) | ( _u5181 = c_Groups_Ozero__class_Ozero(_u5180)) )).
% 27.66/27.87 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5180) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5180), hAPP(hAPP(c_Power_Opower__class_Opower(_u5180), _u5181), 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(_u5180), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u5180)) | ( _u5182 = c_Groups_Ozero__class_Ozero(_u5180)) )).
% 27.66/27.87 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u5180) | ( _u5181 != c_Groups_Ozero__class_Ozero(_u5180)) | ( _u5182 != c_Groups_Ozero__class_Ozero(_u5180)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5180), hAPP(hAPP(c_Power_Opower__class_Opower(_u5180), _u5181), 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(_u5180), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u5180)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u5183) | ~class_Int_Onumber(_u5183) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5183), hAPP(c_Int_Onumber__class_Onumber__of(_u5183), _u5184)), 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(_u5183), hAPP(c_Int_Onumber__class_Onumber__of(_u5183), _u5184)), hAPP(c_Int_Onumber__class_Onumber__of(_u5183), _u5184))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__2__cases ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__2__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5185), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u5185 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5185 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__2 ( axiom ) converted to clauses:
% 27.66/27.87 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)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power2__eq__1__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power2__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5186) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5186), _u5187), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u5186)) | ( _u5187 = c_Groups_Oone__class_Oone(_u5186)) | ( _u5187 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5186), c_Groups_Oone__class_Oone(_u5186))) )).
% 27.66/27.87 cnf(fact_power2__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5186) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5186), _u5187), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5186)) | ( _u5187 != c_Groups_Oone__class_Oone(_u5186)) )).
% 27.66/27.87 cnf(fact_power2__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5186) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5186), _u5187), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5186)) | ( _u5187 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5186), c_Groups_Oone__class_Oone(_u5186))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5188) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5188), _u5189), 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)))), _u5190)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5188), hAPP(hAPP(c_Power_Opower__class_Opower(_u5188), _u5189), _u5190)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5188), _u5189), _u5190))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__minus__even ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__minus__even-1, axiom, ( ~class_Rings_Oring__1(_u5191) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5191), hAPP(c_Groups_Ouminus__class_Ouminus(_u5191), _u5192)), 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)))), _u5193)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5191), _u5192), 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)))), _u5193))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5194) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5194), hAPP(hAPP(c_Power_Opower__class_Opower(_u5194), _u5195), 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(_u5194), _u5196), 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(_u5194), c_Groups_Ozero__class_Ozero(_u5194)), _u5196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5194), _u5195), _u5196)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u5197) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5197), c_Groups_Ozero__class_Ozero(_u5197)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5197), hAPP(hAPP(c_Power_Opower__class_Opower(_u5197), _u5198), 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(_u5197), _u5199), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5200), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5200), hAPP(hAPP(c_Power_Opower__class_Opower(_u5200), _u5201), 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(_u5200), _u5202), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5200))) | ( _u5201 = c_Groups_Ozero__class_Ozero(_u5200)) )).
% 27.66/27.87 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5200), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5200), hAPP(hAPP(c_Power_Opower__class_Opower(_u5200), _u5201), 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(_u5200), _u5202), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5200))) | ( _u5202 = c_Groups_Ozero__class_Ozero(_u5200)) )).
% 27.66/27.87 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u5200) | ( _u5201 != c_Groups_Ozero__class_Ozero(_u5200)) | ( _u5202 != c_Groups_Ozero__class_Ozero(_u5200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5200), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5200), hAPP(hAPP(c_Power_Opower__class_Opower(_u5200), _u5201), 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(_u5200), _u5202), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5200))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5203), c_Groups_Ozero__class_Ozero(_u5203)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5203), hAPP(hAPP(c_Power_Opower__class_Opower(_u5203), _u5204), 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(_u5203), _u5205), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5204 != c_Groups_Ozero__class_Ozero(_u5203)) | ( _u5205 != c_Groups_Ozero__class_Ozero(_u5203)) )).
% 27.66/27.87 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5203), c_Groups_Ozero__class_Ozero(_u5203)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5203), hAPP(hAPP(c_Power_Opower__class_Opower(_u5203), _u5204), 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(_u5203), _u5205), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5204 = c_Groups_Ozero__class_Ozero(_u5203)) )).
% 27.66/27.87 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u5203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5203), c_Groups_Ozero__class_Ozero(_u5203)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5203), hAPP(hAPP(c_Power_Opower__class_Opower(_u5203), _u5204), 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(_u5203), _u5205), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5205 = c_Groups_Ozero__class_Ozero(_u5203)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u5206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5206), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5206), hAPP(hAPP(c_Power_Opower__class_Opower(_u5206), _u5207), 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(_u5206), _u5208), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5206))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u5209) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5209), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5209), _u5210), _u5211)), 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(_u5209), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5209), hAPP(hAPP(c_Power_Opower__class_Opower(_u5209), _u5210), 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(_u5209), _u5211), 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(_u5209), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5209), hAPP(c_Int_Onumber__class_Onumber__of(_u5209), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5210)), _u5211))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u5212) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5212), c_Groups_Ozero__class_Ozero(_u5212)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5212), _u5213), 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)))), _u5214)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5215) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5215), _u5216), 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)))), _u5217))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5215), _u5216), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5215), hAPP(hAPP(c_Power_Opower__class_Opower(_u5215), _u5216), _u5217)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5215), _u5216), _u5217)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__odd__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__odd__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u5218) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5218), _u5219), 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)))), _u5220))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5218), _u5219), hAPP(hAPP(c_Power_Opower__class_Opower(_u5218), hAPP(hAPP(c_Power_Opower__class_Opower(_u5218), _u5219), _u5220)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__minus1__even ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__minus1__even-1, axiom, ( ~class_Rings_Oring__1(_u5221) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5221), hAPP(c_Groups_Ouminus__class_Ouminus(_u5221), c_Groups_Oone__class_Oone(_u5221))), 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)))), _u5222)) = c_Groups_Oone__class_Oone(_u5221)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zdiv__number__of__Bit1 ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5225))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5227))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5225))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5227)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5225))) )).
% 27.66/27.87 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), _u5226))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5228))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5226))) = 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), _u5228)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5226))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mod2__gr__0 ( axiom ) converted to clauses:
% 27.66/27.87 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, _u5230, 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, _u5230, 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)) )).
% 27.66/27.87 cnf(fact_mod2__gr__0-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5231, 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, _u5231, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__2__gt__zero ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u5232)) | 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), _u5232), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power2__diff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power2__diff-1, axiom, ( ~class_Int_Onumber__ring(_u5233) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5233), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5233), _u5234), _u5235)), 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(_u5233), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5233), hAPP(hAPP(c_Power_Opower__class_Opower(_u5233), _u5234), 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(_u5233), _u5235), 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(_u5233), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5233), hAPP(c_Int_Onumber__class_Onumber__of(_u5233), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5234)), _u5235))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_odd__0__le__power__imp__0__le ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_odd__0__le__power__imp__0__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u5236) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5236), c_Groups_Ozero__class_Ozero(_u5236)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5236), _u5237), 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)))), _u5238))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5236), c_Groups_Ozero__class_Ozero(_u5236)), _u5237)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_odd__power__less__zero ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_odd__power__less__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u5239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5239), _u5240), c_Groups_Ozero__class_Ozero(_u5239))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5239), hAPP(hAPP(c_Power_Opower__class_Opower(_u5239), _u5240), 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)))), _u5241)))), c_Groups_Ozero__class_Ozero(_u5239))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__minus1__odd ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__minus1__odd-1, axiom, ( ~class_Rings_Oring__1(_u5242) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5242), hAPP(c_Groups_Ouminus__class_Ouminus(_u5242), c_Groups_Oone__class_Oone(_u5242))), 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)))), _u5243))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5242), c_Groups_Oone__class_Oone(_u5242))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__m1__even ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__m1__even-1, axiom, ( ~class_Int_Onumber__ring(_u5244) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5244), hAPP(c_Int_Onumber__class_Onumber__of(_u5244), 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)))), _u5245)) = c_Groups_Oone__class_Oone(_u5244)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__m1__odd ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__m1__odd-1, axiom, ( ~class_Int_Onumber__ring(_u5246) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5246), hAPP(c_Int_Onumber__class_Onumber__of(_u5246), 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)))), _u5247))) = hAPP(c_Int_Onumber__class_Onumber__of(_u5246), c_Int_OMin)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Suc__n__div__2__gt__zero ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u5248)) | 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), _u5248), 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)))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_int__of__code ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_int__of__code-1, axiom, ( ( _u5250 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u5250) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.87 cnf(fact_int__of__code-2, axiom, ( ( _u5251 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5251, 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, _u5251) = hAPP(hAPP(c_Groups_Otimes__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), _u5251), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 27.66/27.87 cnf(fact_int__of__code-3, axiom, ( ( _u5251 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5251, 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, _u5251) = 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), _u5251), 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_one__code__numeral__code ( axiom ) converted to clauses:
% 27.66/27.87 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_half__gt__zero ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_half__gt__zero-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5252) | ~class_Int_Onumber__ring(_u5252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5252), c_Groups_Ozero__class_Ozero(_u5252)), _u5253)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5252), c_Groups_Ozero__class_Ozero(_u5252)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5252), _u5253), hAPP(c_Int_Onumber__class_Onumber__of(_u5252), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_half__gt__zero__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_half__gt__zero__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5254) | ~class_Int_Onumber__ring(_u5254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5254), c_Groups_Ozero__class_Ozero(_u5254)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5254), _u5255), hAPP(c_Int_Onumber__class_Onumber__of(_u5254), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5254), c_Groups_Ozero__class_Ozero(_u5254)), _u5255)) )).
% 27.66/27.87 cnf(fact_half__gt__zero__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5254) | ~class_Int_Onumber__ring(_u5254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5254), c_Groups_Ozero__class_Ozero(_u5254)), _u5255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5254), c_Groups_Ozero__class_Ozero(_u5254)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5254), _u5255), hAPP(c_Int_Onumber__class_Onumber__of(_u5254), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J ( axiom ) converted to clauses:
% 27.66/27.87 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)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__intermed__int__val ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5258), skolem84(_u5261, _u5260, _u5259, _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5258), skolem85(_u5261, _u5260, _u5259, _u5258))) )).
% 27.66/27.87 cnf(fact_nat__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5258), skolem84(_u5261, _u5260, _u5259, _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5261, _u5260, _u5259, _u5258)), _u5259)) )).
% 27.66/27.87 cnf(fact_nat__intermed__int__val-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5258), skolem84(_u5261, _u5260, _u5259, _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | ( hAPP(_u5260, skolem85(_u5261, _u5260, _u5259, _u5258)) = _u5261) )).
% 27.66/27.87 cnf(fact_nat__intermed__int__val-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5261, _u5260, _u5259, _u5258)), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5258), skolem85(_u5261, _u5260, _u5259, _u5258))) )).
% 27.66/27.87 cnf(fact_nat__intermed__int__val-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5261, _u5260, _u5259, _u5258)), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5261, _u5260, _u5259, _u5258)), _u5259)) )).
% 27.66/27.87 cnf(fact_nat__intermed__int__val-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5261, _u5260, _u5259, _u5258)), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | ( hAPP(_u5260, skolem85(_u5261, _u5260, _u5259, _u5258)) = _u5261) )).
% 27.66/27.87 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(_u5260, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5261, _u5260, _u5259, _u5258)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5260, skolem84(_u5261, _u5260, _u5259, _u5258))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5258), skolem85(_u5261, _u5260, _u5259, _u5258))) )).
% 27.66/27.87 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(_u5260, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5261, _u5260, _u5259, _u5258)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5260, skolem84(_u5261, _u5260, _u5259, _u5258))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5261, _u5260, _u5259, _u5258)), _u5259)) )).
% 27.66/27.87 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(_u5260, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5261, _u5260, _u5259, _u5258)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5260, skolem84(_u5261, _u5260, _u5259, _u5258))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | ( hAPP(_u5260, skolem85(_u5261, _u5260, _u5259, _u5258)) = _u5261) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_code__numeral__zero__minus__one ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5262) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5262), _u5263), c_Groups_Ozero__class_Ozero(_u5262)) = c_Groups_Ozero__class_Ozero(_u5262)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u5264) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5264), c_Groups_Ozero__class_Ozero(_u5264)), _u5265) = c_Groups_Ozero__class_Ozero(_u5264)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u5266) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5266), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5266), _u5267), _u5268)), _u5269) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5266), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5266), _u5267), _u5269)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5266), _u5268), _u5269))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5270) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5270), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5270), _u5271), _u5272)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5270), _u5273), _u5274)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5270), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5270), _u5271), _u5273)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5270), _u5272), _u5274))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u5275) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5275), _u5276), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5275), _u5277), _u5278)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5275), _u5276), _u5277)), _u5278)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__divide__distrib ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u5279) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5279), _u5280), _u5281)), _u5282) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5281), _u5282))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u5283) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5283), _u5284), c_Groups_Oone__class_Oone(_u5283)) = _u5284) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5285) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5285), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5286), _u5287)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5286), hAPP(c_Groups_Ouminus__class_Ouminus(_u5285), _u5287))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5288) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5288), hAPP(c_Groups_Ouminus__class_Ouminus(_u5288), _u5289)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5288), _u5290)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5288), _u5289), _u5290)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u5291) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5291), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5291), _u5292), _u5293)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5291), hAPP(c_Groups_Ouminus__class_Ouminus(_u5291), _u5292)), _u5293)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5294) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5294), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5294), _u5295), _u5296)), _u5297) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5294), hAPP(hAPP(c_Power_Opower__class_Opower(_u5294), _u5295), _u5297)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5294), _u5296), _u5297))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_abs__divide ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_abs__divide-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5298) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5298), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5298), _u5299), _u5300)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5298), hAPP(c_Groups_Oabs__class_Oabs(_u5298), _u5299)), hAPP(c_Groups_Oabs__class_Oabs(_u5298), _u5300))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5301) | ~c_Nat__Transfer_Ois__nat(_u5302) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5301), _u5302)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5303)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5304) | ~c_Nat__Transfer_Ois__nat(_u5305) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5304), _u5305)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Divides_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5306) | ~c_Nat__Transfer_Ois__nat(_u5307) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5306, _u5307)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Divides_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5308) | ~c_Nat__Transfer_Ois__nat(_u5309) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5308), _u5309)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5310) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5310), _u5311)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5312), _u5313), _u5314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), _u5313), c_Groups_Ozero__class_Ozero(_u5312))) )).
% 27.66/27.87 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5312), _u5313), _u5314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), _u5314), c_Groups_Ozero__class_Ozero(_u5312))) )).
% 27.66/27.87 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5312), _u5313), _u5314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), _u5313), c_Groups_Ozero__class_Ozero(_u5312))) )).
% 27.66/27.87 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5312), _u5313), _u5314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), _u5314), c_Groups_Ozero__class_Ozero(_u5312))) )).
% 27.66/27.87 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5312) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5312), _u5313), _u5314))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5314)) )).
% 27.66/27.87 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5312) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5312), _u5313), _u5314))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), _u5313), c_Groups_Ozero__class_Ozero(_u5312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), _u5314), c_Groups_Ozero__class_Ozero(_u5312))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), _u5316), _u5317)), c_Groups_Ozero__class_Ozero(_u5315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), c_Groups_Ozero__class_Ozero(_u5315)), _u5316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), _u5316), c_Groups_Ozero__class_Ozero(_u5315))) )).
% 27.66/27.87 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), _u5316), _u5317)), c_Groups_Ozero__class_Ozero(_u5315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), c_Groups_Ozero__class_Ozero(_u5315)), _u5316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), c_Groups_Ozero__class_Ozero(_u5315)), _u5317)) )).
% 27.66/27.87 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), _u5316), _u5317)), c_Groups_Ozero__class_Ozero(_u5315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), _u5317), c_Groups_Ozero__class_Ozero(_u5315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), _u5316), c_Groups_Ozero__class_Ozero(_u5315))) )).
% 27.66/27.87 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), _u5316), _u5317)), c_Groups_Ozero__class_Ozero(_u5315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), _u5317), c_Groups_Ozero__class_Ozero(_u5315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), c_Groups_Ozero__class_Ozero(_u5315)), _u5317)) )).
% 27.66/27.87 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), _u5316), _u5317)), c_Groups_Ozero__class_Ozero(_u5315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), c_Groups_Ozero__class_Ozero(_u5315)), _u5316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), _u5317), c_Groups_Ozero__class_Ozero(_u5315))) )).
% 27.66/27.87 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), _u5316), _u5317)), c_Groups_Ozero__class_Ozero(_u5315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), _u5316), c_Groups_Ozero__class_Ozero(_u5315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), c_Groups_Ozero__class_Ozero(_u5315)), _u5317)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5318), _u5319), _u5320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5318), c_Groups_Ozero__class_Ozero(_u5318)), _u5321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5318), _u5319), _u5321)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5318), _u5320), _u5321))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5322), _u5323), _u5324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5322), _u5325), c_Groups_Ozero__class_Ozero(_u5322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5322), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5322), _u5324), _u5325)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5322), _u5323), _u5325))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5326), _u5327), _u5328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5326), _u5329), c_Groups_Ozero__class_Ozero(_u5326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5326), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5326), _u5328), _u5329)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5326), _u5327), _u5329))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5330), _u5331), _u5332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5330), c_Groups_Ozero__class_Ozero(_u5330)), _u5333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5330), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5330), _u5331), _u5333)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5330), _u5332), _u5333))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5334), _u5335), c_Groups_Ozero__class_Ozero(_u5334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5334), _u5336), c_Groups_Ozero__class_Ozero(_u5334))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5334), c_Groups_Ozero__class_Ozero(_u5334)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5334), _u5335), _u5336))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5337), _u5338), c_Groups_Ozero__class_Ozero(_u5337))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5337), c_Groups_Ozero__class_Ozero(_u5337)), _u5339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5337), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5337), _u5338), _u5339)), c_Groups_Ozero__class_Ozero(_u5337))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5340) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5340), c_Groups_Ozero__class_Ozero(_u5340)), _u5341)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5340), _u5342), c_Groups_Ozero__class_Ozero(_u5340))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5340), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5340), _u5341), _u5342)), c_Groups_Ozero__class_Ozero(_u5340))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5343), c_Groups_Ozero__class_Ozero(_u5343)), _u5344)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5343), c_Groups_Ozero__class_Ozero(_u5343)), _u5345)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5343), c_Groups_Ozero__class_Ozero(_u5343)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5343), _u5344), _u5345))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5346), _u5347), _u5348)), c_Groups_Ozero__class_Ozero(_u5346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), c_Groups_Ozero__class_Ozero(_u5346)), _u5347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), _u5347), c_Groups_Ozero__class_Ozero(_u5346))) )).
% 27.66/27.87 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5346), _u5347), _u5348)), c_Groups_Ozero__class_Ozero(_u5346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), c_Groups_Ozero__class_Ozero(_u5346)), _u5347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), c_Groups_Ozero__class_Ozero(_u5346)), _u5348)) )).
% 27.66/27.87 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5346), _u5347), _u5348)), c_Groups_Ozero__class_Ozero(_u5346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), _u5348), c_Groups_Ozero__class_Ozero(_u5346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), _u5347), c_Groups_Ozero__class_Ozero(_u5346))) )).
% 27.66/27.87 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5346), _u5347), _u5348)), c_Groups_Ozero__class_Ozero(_u5346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), _u5348), c_Groups_Ozero__class_Ozero(_u5346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), c_Groups_Ozero__class_Ozero(_u5346)), _u5348)) )).
% 27.66/27.87 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5346) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5346), _u5347), _u5348)), c_Groups_Ozero__class_Ozero(_u5346))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), c_Groups_Ozero__class_Ozero(_u5346)), _u5347)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), _u5348), c_Groups_Ozero__class_Ozero(_u5346))) )).
% 27.66/27.87 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5346) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5346), _u5347), _u5348)), c_Groups_Ozero__class_Ozero(_u5346))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), _u5347), c_Groups_Ozero__class_Ozero(_u5346))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), c_Groups_Ozero__class_Ozero(_u5346)), _u5348)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5349) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5349), _u5350), _u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), _u5350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), _u5350), c_Groups_Ozero__class_Ozero(_u5349))) )).
% 27.66/27.87 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5349) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5349), _u5350), _u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), _u5350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), _u5351), c_Groups_Ozero__class_Ozero(_u5349))) )).
% 27.66/27.87 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5349) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5349), _u5350), _u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), _u5351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), _u5350), c_Groups_Ozero__class_Ozero(_u5349))) )).
% 27.66/27.87 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5349) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5349), _u5350), _u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), _u5351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), _u5351), c_Groups_Ozero__class_Ozero(_u5349))) )).
% 27.66/27.87 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5349), _u5350), _u5351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), _u5350)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), _u5351)) )).
% 27.66/27.87 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5349), _u5350), _u5351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), _u5350), c_Groups_Ozero__class_Ozero(_u5349))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), _u5351), c_Groups_Ozero__class_Ozero(_u5349))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5352) | ( _u5353 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5352), _u5354), _u5355)) | ( _u5355 = c_Groups_Ozero__class_Ozero(_u5352)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5352), _u5353), _u5355) = _u5354) )).
% 27.66/27.87 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5352) | ( _u5353 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5352), _u5354), _u5355)) | ( _u5355 != c_Groups_Ozero__class_Ozero(_u5352)) | ( _u5353 = c_Groups_Ozero__class_Ozero(_u5352)) )).
% 27.66/27.87 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5352) | ( _u5353 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5352), _u5354), _u5355)) | ( _u5355 != c_Groups_Ozero__class_Ozero(_u5352)) | ( _u5353 != c_Groups_Ozero__class_Ozero(_u5352)) )).
% 27.66/27.87 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5352) | ( _u5353 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5352), _u5354), _u5355)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5352), _u5353), _u5355) != _u5354) | ( _u5355 = c_Groups_Ozero__class_Ozero(_u5352)) )).
% 27.66/27.87 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5352) | ( _u5353 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5352), _u5354), _u5355)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5352), _u5353), _u5355) != _u5354) | ( _u5353 != c_Groups_Ozero__class_Ozero(_u5352)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5356) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5356), _u5357), _u5358) != _u5359) | ( _u5358 = c_Groups_Ozero__class_Ozero(_u5356)) | ( _u5357 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5356), _u5359), _u5358)) )).
% 27.66/27.87 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5356) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5356), _u5357), _u5358) != _u5359) | ( _u5358 != c_Groups_Ozero__class_Ozero(_u5356)) | ( _u5359 = c_Groups_Ozero__class_Ozero(_u5356)) )).
% 27.66/27.87 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5356) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5356), _u5357), _u5358) = _u5359) | ( _u5358 != c_Groups_Ozero__class_Ozero(_u5356)) | ( _u5359 != c_Groups_Ozero__class_Ozero(_u5356)) )).
% 27.66/27.87 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5356) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5356), _u5357), _u5358) = _u5359) | ( _u5357 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5356), _u5359), _u5358)) | ( _u5358 = c_Groups_Ozero__class_Ozero(_u5356)) )).
% 27.66/27.87 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5356) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5356), _u5357), _u5358) = _u5359) | ( _u5357 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5356), _u5359), _u5358)) | ( _u5359 != c_Groups_Ozero__class_Ozero(_u5356)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5360) | ( _u5361 = c_Groups_Ozero__class_Ozero(_u5360)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5360), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5360), _u5362), _u5361)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5360), _u5363), _u5361)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5360), _u5362), _u5363)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5364) | ( _u5365 = c_Groups_Ozero__class_Ozero(_u5364)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5364), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5364), _u5365), _u5366)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5364), _u5365), _u5367)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5364), _u5366), _u5367)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u5368) | ( _u5369 = c_Groups_Ozero__class_Ozero(_u5368)) | ( _u5370 = c_Groups_Ozero__class_Ozero(_u5368)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5368), _u5371), _u5369) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5368), _u5372), _u5370)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5368), _u5371), _u5370) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5368), _u5372), _u5369)) )).
% 27.66/27.87 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u5368) | ( _u5369 = c_Groups_Ozero__class_Ozero(_u5368)) | ( _u5370 = c_Groups_Ozero__class_Ozero(_u5368)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5368), _u5371), _u5370) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5368), _u5372), _u5369)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5368), _u5371), _u5369) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5368), _u5372), _u5370)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u5373) | ( _u5374 = c_Groups_Ozero__class_Ozero(_u5373)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5373), _u5375), _u5374) != _u5376) | ( _u5375 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5373), _u5376), _u5374)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u5377) | ( _u5378 = c_Groups_Ozero__class_Ozero(_u5377)) | ( _u5379 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5377), _u5380), _u5378)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5377), _u5379), _u5378) = _u5380) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5381) | ( _u5382 = c_Groups_Ozero__class_Ozero(_u5381)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5381), _u5383), _u5382) != _u5384) | ( _u5383 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5381), _u5384), _u5382)) )).
% 27.66/27.87 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5381) | ( _u5382 = c_Groups_Ozero__class_Ozero(_u5381)) | ( _u5383 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5381), _u5384), _u5382)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5381), _u5383), _u5382) = _u5384) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5385) | ( _u5386 = c_Groups_Ozero__class_Ozero(_u5385)) | ( _u5387 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5388), _u5386)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5385), _u5387), _u5386) = _u5388) )).
% 27.66/27.87 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5385) | ( _u5386 = c_Groups_Ozero__class_Ozero(_u5385)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5385), _u5387), _u5386) != _u5388) | ( _u5387 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5388), _u5386)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5389) | ( _u5390 = c_Groups_Ozero__class_Ozero(_u5389)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5389), _u5391), _u5390) != c_Groups_Oone__class_Oone(_u5389)) | ( _u5391 = _u5390) )).
% 27.66/27.87 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5389) | ( _u5390 = c_Groups_Ozero__class_Ozero(_u5389)) | ( _u5391 != _u5390) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5389), _u5391), _u5390) = c_Groups_Oone__class_Oone(_u5389)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u5392) | ( _u5393 = c_Groups_Ozero__class_Ozero(_u5392)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5392), _u5393), _u5393) = c_Groups_Oone__class_Oone(_u5392)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5394) | ( _u5395 != c_Groups_Ozero__class_Ozero(_u5394)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5394), _u5395), _u5395) = c_Groups_Ozero__class_Ozero(_u5394)) )).
% 27.66/27.87 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5394) | ( _u5395 = c_Groups_Ozero__class_Ozero(_u5394)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5394), _u5395), _u5395) = c_Groups_Oone__class_Oone(_u5394)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u5396) | ( _u5397 = c_Groups_Ozero__class_Ozero(_u5396)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5396), hAPP(c_Groups_Ouminus__class_Ouminus(_u5396), _u5398)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5396), _u5397)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5396), _u5398), _u5397)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u5399) | ( _u5400 = c_Groups_Ozero__class_Ozero(_u5399)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5399), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5399), _u5401), _u5400)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5399), _u5401), hAPP(c_Groups_Ouminus__class_Ouminus(_u5399), _u5400))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u5402) | ( _u5403 = c_Groups_Ozero__class_Ozero(_u5402)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5402), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5402), _u5404), _u5403)), _u5405) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5402), hAPP(hAPP(c_Power_Opower__class_Opower(_u5402), _u5404), _u5405)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5402), _u5403), _u5405))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nonzero__abs__divide ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nonzero__abs__divide-1, axiom, ( ~class_Fields_Olinordered__field(_u5406) | ( _u5407 = c_Groups_Ozero__class_Ozero(_u5406)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5408), _u5407)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), hAPP(c_Groups_Oabs__class_Oabs(_u5406), _u5408)), hAPP(c_Groups_Oabs__class_Oabs(_u5406), _u5407))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5409) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5409), c_Groups_Oone__class_Oone(_u5409)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5409), _u5410), _u5411)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5409), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5409), c_Groups_Oone__class_Oone(_u5409)), _u5410)), _u5411)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5412) | ~c_Nat__Transfer_Ois__nat(_u5413) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u5412, _u5413)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5414), _u5415), c_Groups_Ozero__class_Ozero(_u5414))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5414), _u5416), c_Groups_Ozero__class_Ozero(_u5414))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5414), c_Groups_Ozero__class_Ozero(_u5414)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5414), _u5415), _u5416))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5417), _u5418), c_Groups_Ozero__class_Ozero(_u5417))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5417), c_Groups_Ozero__class_Ozero(_u5417)), _u5419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5417), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5417), _u5418), _u5419)), c_Groups_Ozero__class_Ozero(_u5417))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u5420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5420), c_Groups_Ozero__class_Ozero(_u5420)), _u5421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5420), _u5421), _u5422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5420), c_Groups_Ozero__class_Ozero(_u5420)), _u5423)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5420), _u5423), _u5424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5420), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5420), _u5421), _u5424)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5420), _u5422), _u5423))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u5425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5425), c_Groups_Ozero__class_Ozero(_u5425)), _u5426)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5425), _u5426), _u5427)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5425), c_Groups_Ozero__class_Ozero(_u5425)), _u5428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5425), _u5428), _u5429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5425), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5425), _u5426), _u5429)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5425), _u5427), _u5428))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u5430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), c_Groups_Ozero__class_Ozero(_u5430)), _u5431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5430), _u5431), _u5432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), c_Groups_Ozero__class_Ozero(_u5430)), _u5433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), _u5433), _u5434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5430), _u5431), _u5434)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5430), _u5432), _u5433))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5435), c_Groups_Ozero__class_Ozero(_u5435)), _u5436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5435), _u5437), c_Groups_Ozero__class_Ozero(_u5435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5435), _u5436), _u5437)), c_Groups_Ozero__class_Ozero(_u5435))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), c_Groups_Ozero__class_Ozero(_u5438)), _u5439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5438), c_Groups_Ozero__class_Ozero(_u5438)), _u5440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), c_Groups_Ozero__class_Ozero(_u5438)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5438), _u5439), _u5440))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5441), _u5442), _u5443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5441), _u5444), c_Groups_Ozero__class_Ozero(_u5441))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5441), c_Groups_Ozero__class_Ozero(_u5441)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5441), _u5442), _u5443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5441), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5441), _u5444), _u5442)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5441), _u5444), _u5443))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5445) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5445), _u5446), _u5447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5445), c_Groups_Ozero__class_Ozero(_u5445)), _u5448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5445), c_Groups_Ozero__class_Ozero(_u5445)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5445), _u5447), _u5446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5445), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5445), _u5448), _u5447)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5445), _u5448), _u5446))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5449) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5449), _u5450), c_Groups_Ozero__class_Ozero(_u5449))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5449), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5449), _u5451), _u5450)), _u5452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5449), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5449), _u5452), _u5450)), _u5451)) )).
% 27.66/27.87 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5449) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5449), _u5450), c_Groups_Ozero__class_Ozero(_u5449))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5449), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5449), _u5452), _u5450)), _u5451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5449), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5449), _u5451), _u5450)), _u5452)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_neg__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5453), _u5454), c_Groups_Ozero__class_Ozero(_u5453))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5453), _u5455), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5453), _u5456), _u5454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5453), _u5456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5453), _u5455), _u5454))) )).
% 27.66/27.87 cnf(fact_neg__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5453), _u5454), c_Groups_Ozero__class_Ozero(_u5453))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5453), _u5456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5453), _u5455), _u5454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5453), _u5455), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5453), _u5456), _u5454))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5457) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5457), c_Groups_Ozero__class_Ozero(_u5457)), _u5458)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5457), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5457), _u5459), _u5458)), _u5460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5457), _u5459), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5457), _u5460), _u5458))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u5461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5461), c_Groups_Ozero__class_Ozero(_u5461)), _u5462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5461), _u5463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5461), _u5464), _u5462))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5461), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5461), _u5463), _u5462)), _u5464)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5465), c_Groups_Ozero__class_Ozero(_u5465)), _u5466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5465), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5465), _u5467), _u5466)), _u5468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5465), _u5467), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5465), _u5468), _u5466))) )).
% 27.66/27.87 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5465), c_Groups_Ozero__class_Ozero(_u5465)), _u5466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5465), _u5467), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5465), _u5468), _u5466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5465), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5465), _u5467), _u5466)), _u5468)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5469), c_Groups_Ozero__class_Ozero(_u5469)), _u5470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5469), _u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5469), _u5472), _u5470))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5469), _u5471), _u5470)), _u5472)) )).
% 27.66/27.87 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5469), c_Groups_Ozero__class_Ozero(_u5469)), _u5470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5469), _u5471), _u5470)), _u5472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5469), _u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5469), _u5472), _u5470))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475))) )).
% 27.66/27.87 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5475), c_Groups_Ozero__class_Ozero(_u5473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475)), _u5474)) )).
% 27.66/27.87 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5475), c_Groups_Ozero__class_Ozero(_u5473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5476)) )).
% 27.66/27.87 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5475), c_Groups_Ozero__class_Ozero(_u5473))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5476)) )).
% 27.66/27.87 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5475), c_Groups_Ozero__class_Ozero(_u5473))) )).
% 27.66/27.87 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5476)) )).
% 27.66/27.87 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) )).
% 27.66/27.87 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5475), c_Groups_Ozero__class_Ozero(_u5473))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5476)) )).
% 27.66/27.87 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5475), c_Groups_Ozero__class_Ozero(_u5473))) )).
% 27.66/27.87 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5476)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480)), _u5479)) )).
% 27.66/27.87 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5480), c_Groups_Ozero__class_Ozero(_u5477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480))) )).
% 27.66/27.87 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5480), c_Groups_Ozero__class_Ozero(_u5477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.66/27.87 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5480), c_Groups_Ozero__class_Ozero(_u5477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.66/27.87 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5480), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.66/27.87 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.66/27.87 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) )).
% 27.66/27.87 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480)), _u5479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5480), c_Groups_Ozero__class_Ozero(_u5477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.66/27.87 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5480), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.66/27.87 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_is__nat__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_is__nat__def-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5482)) )).
% 27.66/27.87 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)), _u5483)) | c_Nat__Transfer_Ois__nat(_u5483) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u5484) | ( _u5485 = c_Groups_Ozero__class_Ozero(_u5484)) | ( _u5486 = c_Groups_Ozero__class_Ozero(_u5484)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5484), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5487), _u5485)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5488), _u5486)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5487), _u5486)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5488), _u5485))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5486))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5489) | ( _u5490 = c_Groups_Ozero__class_Ozero(_u5489)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5489), _u5491), _u5490)), _u5492) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5489), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), _u5491), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5489), _u5490), _u5492))), _u5490)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5493) | ( _u5494 = c_Groups_Ozero__class_Ozero(_u5493)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5493), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5493), _u5495), _u5494)), _u5496) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5493), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5493), _u5495), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5493), _u5496), _u5494))), _u5494)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5497) | ( _u5498 = c_Groups_Ozero__class_Ozero(_u5497)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5497), _u5499), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5497), _u5500), _u5498)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5497), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5497), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5497), _u5498), _u5499)), _u5500)), _u5498)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5501) | ( _u5502 = c_Groups_Ozero__class_Ozero(_u5501)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5501), _u5503), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5501), _u5504), _u5502)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5501), _u5504), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5501), _u5503), _u5502))), _u5502)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__frac__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u5505) | ( _u5506 = c_Groups_Ozero__class_Ozero(_u5505)) | ( _u5507 = c_Groups_Ozero__class_Ozero(_u5505)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5505), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5505), _u5508), _u5506)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5505), _u5509), _u5507)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5505), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5505), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5505), _u5508), _u5507)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5505), _u5509), _u5506))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5505), _u5506), _u5507))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__diff__eq__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__diff__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5510) | ( _u5511 = c_Groups_Ozero__class_Ozero(_u5510)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5510), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5510), _u5512), _u5511)), _u5513) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5510), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5510), _u5512), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5510), _u5511), _u5513))), _u5511)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__divide__eq__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5514) | ( _u5515 = c_Groups_Ozero__class_Ozero(_u5514)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5514), _u5516), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5514), _u5517), _u5515)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5514), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5514), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5514), _u5515), _u5516)), _u5517)), _u5515)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__eq__eq__number__of1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__eq__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5518) | ~class_Int_Onumber(_u5518) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5518), _u5519), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520)) != _u5521) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520) = c_Groups_Ozero__class_Ozero(_u5518)) | ( _u5519 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5518), _u5521), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520))) )).
% 27.66/27.87 cnf(fact_divide__eq__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5518) | ~class_Int_Onumber(_u5518) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5518), _u5519), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520)) != _u5521) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520) != c_Groups_Ozero__class_Ozero(_u5518)) | ( _u5521 = c_Groups_Ozero__class_Ozero(_u5518)) )).
% 27.66/27.87 cnf(fact_divide__eq__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5518) | ~class_Int_Onumber(_u5518) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5518), _u5519), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520)) = _u5521) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520) != c_Groups_Ozero__class_Ozero(_u5518)) | ( _u5521 != c_Groups_Ozero__class_Ozero(_u5518)) )).
% 27.66/27.87 cnf(fact_divide__eq__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5518) | ~class_Int_Onumber(_u5518) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5518), _u5519), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520)) = _u5521) | ( _u5519 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5518), _u5521), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520) = c_Groups_Ozero__class_Ozero(_u5518)) )).
% 27.66/27.87 cnf(fact_divide__eq__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5518) | ~class_Int_Onumber(_u5518) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5518), _u5519), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520)) = _u5521) | ( _u5519 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5518), _u5521), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520))) | ( _u5521 != c_Groups_Ozero__class_Ozero(_u5518)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__eq__eq__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__eq__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5522) | ~class_Int_Onumber(_u5522) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5522), _u5523), _u5524) != hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)) | ( _u5524 = c_Groups_Ozero__class_Ozero(_u5522)) | ( _u5523 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5522), hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)), _u5524)) )).
% 27.66/27.87 cnf(fact_divide__eq__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5522) | ~class_Int_Onumber(_u5522) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5522), _u5523), _u5524) != hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)) | ( _u5524 != c_Groups_Ozero__class_Ozero(_u5522)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525) = c_Groups_Ozero__class_Ozero(_u5522)) )).
% 27.66/27.87 cnf(fact_divide__eq__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5522) | ~class_Int_Onumber(_u5522) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5522), _u5523), _u5524) = hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)) | ( _u5524 != c_Groups_Ozero__class_Ozero(_u5522)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525) != c_Groups_Ozero__class_Ozero(_u5522)) )).
% 27.66/27.87 cnf(fact_divide__eq__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5522) | ~class_Int_Onumber(_u5522) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5522), _u5523), _u5524) = hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)) | ( _u5523 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5522), hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)), _u5524)) | ( _u5524 = c_Groups_Ozero__class_Ozero(_u5522)) )).
% 27.66/27.87 cnf(fact_divide__eq__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5522) | ~class_Int_Onumber(_u5522) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5522), _u5523), _u5524) = hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)) | ( _u5523 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5522), hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)), _u5524)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525) != c_Groups_Ozero__class_Ozero(_u5522)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_eq__divide__eq__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_eq__divide__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5526) | ~class_Int_Onumber(_u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5526), _u5528), _u5529)) | ( _u5529 = c_Groups_Ozero__class_Ozero(_u5526)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5526), hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527)), _u5529) = _u5528) )).
% 27.66/27.87 cnf(fact_eq__divide__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5526) | ~class_Int_Onumber(_u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5526), _u5528), _u5529)) | ( _u5529 != c_Groups_Ozero__class_Ozero(_u5526)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) = c_Groups_Ozero__class_Ozero(_u5526)) )).
% 27.66/27.87 cnf(fact_eq__divide__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5526) | ~class_Int_Onumber(_u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5526), _u5528), _u5529)) | ( _u5529 != c_Groups_Ozero__class_Ozero(_u5526)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) != c_Groups_Ozero__class_Ozero(_u5526)) )).
% 27.66/27.87 cnf(fact_eq__divide__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5526) | ~class_Int_Onumber(_u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5526), _u5528), _u5529)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5526), hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527)), _u5529) != _u5528) | ( _u5529 = c_Groups_Ozero__class_Ozero(_u5526)) )).
% 27.66/27.87 cnf(fact_eq__divide__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5526) | ~class_Int_Onumber(_u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5526), _u5528), _u5529)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5526), hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527)), _u5529) != _u5528) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) != c_Groups_Ozero__class_Ozero(_u5526)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_eq__divide__eq__number__of1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_eq__divide__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5530) | ~class_Int_Onumber(_u5530) | ( _u5531 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5530), _u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533) = c_Groups_Ozero__class_Ozero(_u5530)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5530), _u5531), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533)) = _u5532) )).
% 27.66/27.87 cnf(fact_eq__divide__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5530) | ~class_Int_Onumber(_u5530) | ( _u5531 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5530), _u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533) != c_Groups_Ozero__class_Ozero(_u5530)) | ( _u5531 = c_Groups_Ozero__class_Ozero(_u5530)) )).
% 27.66/27.87 cnf(fact_eq__divide__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5530) | ~class_Int_Onumber(_u5530) | ( _u5531 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5530), _u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533) != c_Groups_Ozero__class_Ozero(_u5530)) | ( _u5531 != c_Groups_Ozero__class_Ozero(_u5530)) )).
% 27.66/27.87 cnf(fact_eq__divide__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5530) | ~class_Int_Onumber(_u5530) | ( _u5531 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5530), _u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5530), _u5531), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533)) != _u5532) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533) = c_Groups_Ozero__class_Ozero(_u5530)) )).
% 27.66/27.87 cnf(fact_eq__divide__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5530) | ~class_Int_Onumber(_u5530) | ( _u5531 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5530), _u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5530), _u5531), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533)) != _u5532) | ( _u5531 != c_Groups_Ozero__class_Ozero(_u5530)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u5534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5534), _u5535), _u5536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5534), _u5535), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5534), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5534), _u5535), _u5536)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5534), c_Groups_Oone__class_Oone(_u5534)), c_Groups_Oone__class_Oone(_u5534))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u5537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5537), _u5538), _u5539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5537), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5537), _u5538), _u5539)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5537), c_Groups_Oone__class_Oone(_u5537)), c_Groups_Oone__class_Oone(_u5537)))), _u5539)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__Numeral0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__Numeral0-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5540) | ~class_Int_Onumber__ring(_u5540) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5540), _u5541), hAPP(c_Int_Onumber__class_Onumber__of(_u5540), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u5540)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_abs__div__pos ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_abs__div__pos-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5542), c_Groups_Ozero__class_Ozero(_u5542)), _u5543)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5542), hAPP(c_Groups_Oabs__class_Oabs(_u5542), _u5544)), _u5543) = hAPP(c_Groups_Oabs__class_Oabs(_u5542), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5542), _u5544), _u5543))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__Numeral1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__Numeral1-1, axiom, ( ~class_Fields_Ofield(_u5545) | ~class_Int_Onumber__ring(_u5545) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5545), _u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5545), c_Int_OBit1(c_Int_OPls))) = _u5546) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__numeral__1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u5547) | ~class_Int_Onumber__ring(_u5547) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5547), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5547), c_Int_OBit1(c_Int_OPls))) = _u5548) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__minus1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__minus1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5549) | ~class_Int_Onumber__ring(_u5549) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5549), _u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5549), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5549), _u5550)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zero__code__numeral__code ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554)), _u5553)) )).
% 27.66/27.87 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), _u5554), c_Groups_Ozero__class_Ozero(_u5551))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554))) )).
% 27.66/27.87 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), _u5554), c_Groups_Ozero__class_Ozero(_u5551))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.66/27.87 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), _u5554), c_Groups_Ozero__class_Ozero(_u5551))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.66/27.87 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), _u5554), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.66/27.87 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.66/27.87 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554)), _u5553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) )).
% 27.66/27.87 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554)), _u5553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), _u5554), c_Groups_Ozero__class_Ozero(_u5551))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.66/27.87 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554)), _u5553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), _u5554), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.66/27.87 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554)), _u5553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), _u5556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557))) )).
% 27.66/27.87 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), _u5557), c_Groups_Ozero__class_Ozero(_u5555))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557)), _u5556)) )).
% 27.66/27.87 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), _u5557), c_Groups_Ozero__class_Ozero(_u5555))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5558)) )).
% 27.66/27.87 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), _u5557), c_Groups_Ozero__class_Ozero(_u5555))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5558)) )).
% 27.66/27.87 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), _u5557), c_Groups_Ozero__class_Ozero(_u5555))) )).
% 27.66/27.87 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5558)) )).
% 27.66/27.87 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), _u5556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) )).
% 27.66/27.87 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), _u5556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), _u5557), c_Groups_Ozero__class_Ozero(_u5555))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5558)) )).
% 27.66/27.87 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), _u5556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), _u5557), c_Groups_Ozero__class_Ozero(_u5555))) )).
% 27.66/27.87 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), _u5556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5558)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5559), c_Groups_Ozero__class_Ozero(_u5559)), _u5560)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5559), _u5561), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5559), _u5562), _u5560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5559), _u5561), _u5560)), _u5562)) )).
% 27.66/27.87 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5559), c_Groups_Ozero__class_Ozero(_u5559)), _u5560)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5559), _u5561), _u5560)), _u5562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5559), _u5561), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5559), _u5562), _u5560))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5563), c_Groups_Ozero__class_Ozero(_u5563)), _u5564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5563), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5563), _u5565), _u5564)), _u5566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5563), _u5565), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5563), _u5566), _u5564))) )).
% 27.66/27.87 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5563), c_Groups_Ozero__class_Ozero(_u5563)), _u5564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5563), _u5565), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5563), _u5566), _u5564))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5563), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5563), _u5565), _u5564)), _u5566)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u5567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5567), c_Groups_Ozero__class_Ozero(_u5567)), _u5568)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5567), _u5569), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5567), _u5570), _u5568))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5567), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5567), _u5569), _u5568)), _u5570)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5571), c_Groups_Ozero__class_Ozero(_u5571)), _u5572)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5571), _u5573), _u5572)), _u5574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5571), _u5573), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5571), _u5574), _u5572))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), _u5576), c_Groups_Ozero__class_Ozero(_u5575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5575), _u5577), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5575), _u5578), _u5576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5575), _u5578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5575), _u5577), _u5576))) )).
% 27.66/27.87 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), _u5576), c_Groups_Ozero__class_Ozero(_u5575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5575), _u5578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5575), _u5577), _u5576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5575), _u5577), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5575), _u5578), _u5576))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5579), _u5580), c_Groups_Ozero__class_Ozero(_u5579))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5579), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5579), _u5581), _u5580)), _u5582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5579), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5579), _u5582), _u5580)), _u5581)) )).
% 27.66/27.87 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5579), _u5580), c_Groups_Ozero__class_Ozero(_u5579))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5579), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5579), _u5582), _u5580)), _u5581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5579), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5579), _u5581), _u5580)), _u5582)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5583), _u5584), _u5585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5583), c_Groups_Ozero__class_Ozero(_u5583)), _u5586)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5583), c_Groups_Ozero__class_Ozero(_u5583)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5583), _u5585), _u5584))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5583), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5583), _u5586), _u5585)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5583), _u5586), _u5584))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5587), _u5588), _u5589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5587), _u5590), c_Groups_Ozero__class_Ozero(_u5587))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5587), c_Groups_Ozero__class_Ozero(_u5587)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), _u5588), _u5589))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5587), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5587), _u5590), _u5588)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5587), _u5590), _u5589))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__divide__eq__number__of1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))), _u5593)) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)), c_Groups_Ozero__class_Ozero(_u5591))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)), c_Groups_Ozero__class_Ozero(_u5591))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)), c_Groups_Ozero__class_Ozero(_u5591))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))), _u5593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))), _u5593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)), c_Groups_Ozero__class_Ozero(_u5591))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))), _u5593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))), _u5593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__divide__eq__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598)), _u5597)) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5598), c_Groups_Ozero__class_Ozero(_u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5598), c_Groups_Ozero__class_Ozero(_u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5598), c_Groups_Ozero__class_Ozero(_u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5598), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598)), _u5597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598)), _u5597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5598), c_Groups_Ozero__class_Ozero(_u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598)), _u5597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5598), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.66/27.87 cnf(fact_less__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598)), _u5597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__less__eq__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__less__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601))) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5601), c_Groups_Ozero__class_Ozero(_u5599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601)), _u5600)) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5601), c_Groups_Ozero__class_Ozero(_u5599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5601), c_Groups_Ozero__class_Ozero(_u5599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601)), _u5600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5601), c_Groups_Ozero__class_Ozero(_u5599))) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601)), _u5600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5601), c_Groups_Ozero__class_Ozero(_u5599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601)), _u5600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5601), c_Groups_Ozero__class_Ozero(_u5599))) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601)), _u5600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__less__eq__number__of1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__less__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), _u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)))) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)), c_Groups_Ozero__class_Ozero(_u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5604)) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)), c_Groups_Ozero__class_Ozero(_u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), _u5606)) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)), c_Groups_Ozero__class_Ozero(_u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), _u5606)) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)), c_Groups_Ozero__class_Ozero(_u5603))) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), _u5606)) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), _u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), _u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)), c_Groups_Ozero__class_Ozero(_u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), _u5606)) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), _u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)), c_Groups_Ozero__class_Ozero(_u5603))) )).
% 27.66/27.87 cnf(fact_divide__less__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), _u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), _u5606)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__diff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__diff-1, axiom, ( ~class_Fields_Ofield(_u5607) | ( _u5608 = c_Groups_Ozero__class_Ozero(_u5607)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5609), _u5610)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5607), _u5608), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5610), _u5609)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5607), hAPP(hAPP(c_Power_Opower__class_Opower(_u5607), _u5608), _u5610)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5607), _u5608), _u5609))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_minus1__divide ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_minus1__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5611) | ~class_Int_Onumber__ring(_u5611) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5611), c_Int_OMin)), _u5612) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5611), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5611), c_Groups_Oone__class_Oone(_u5611)), _u5612))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J ( axiom ) converted to clauses:
% 27.66/27.87 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)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__le__eq__number__of1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__le__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), _u5614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)))) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)), c_Groups_Ozero__class_Ozero(_u5613))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5614)) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)), c_Groups_Ozero__class_Ozero(_u5613))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), _u5616)) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)), c_Groups_Ozero__class_Ozero(_u5613))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), _u5616)) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)), c_Groups_Ozero__class_Ozero(_u5613))) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), _u5616)) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), _u5614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), _u5614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)), c_Groups_Ozero__class_Ozero(_u5613))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), _u5616)) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), _u5614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)), c_Groups_Ozero__class_Ozero(_u5613))) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), _u5614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), _u5616)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divide__le__eq__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divide__le__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), _u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619))) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), _u5619), c_Groups_Ozero__class_Ozero(_u5617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619)), _u5618)) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), _u5619), c_Groups_Ozero__class_Ozero(_u5617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), _u5619), c_Groups_Ozero__class_Ozero(_u5617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619)), _u5618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), _u5619), c_Groups_Ozero__class_Ozero(_u5617))) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619)), _u5618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), _u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), _u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), _u5619), c_Groups_Ozero__class_Ozero(_u5617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), _u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619)), _u5618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), _u5619), c_Groups_Ozero__class_Ozero(_u5617))) )).
% 27.66/27.87 cnf(fact_divide__le__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), _u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619)), _u5618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_le__divide__eq__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_le__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624)), _u5623)) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), _u5624), c_Groups_Ozero__class_Ozero(_u5621))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), _u5624), c_Groups_Ozero__class_Ozero(_u5621))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), _u5624), c_Groups_Ozero__class_Ozero(_u5621))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), _u5624), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624)), _u5623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), _u5624), c_Groups_Ozero__class_Ozero(_u5621))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), _u5624), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_le__divide__eq__number__of1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_le__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))), _u5627)) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)), c_Groups_Ozero__class_Ozero(_u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)), c_Groups_Ozero__class_Ozero(_u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)), c_Groups_Ozero__class_Ozero(_u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))), _u5627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))), _u5627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)), c_Groups_Ozero__class_Ozero(_u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))), _u5627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.66/27.87 cnf(fact_le__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))), _u5627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__of__aux__code ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__of__aux__code-1, axiom, ( ( _u5631 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5631, _u5633) = _u5633) )).
% 27.66/27.87 cnf(fact_nat__of__aux__code-2, axiom, ( ( _u5632 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5632, _u5634) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5632), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u5634))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_code__numeral_Osize_I1_J ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_code__numeral_Osize_I3_J ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_code__numeral_Osimps_I4_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_code__numeral_Osimps_I4_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5635, _u5636, _u5637, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5636) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_log_Osimps ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_log_Osimps-1, axiom, ( ( c_Random_Olog(_u5640, _u5642) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5640), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 27.66/27.87 cnf(fact_log_Osimps-2, axiom, ( ( c_Random_Olog(_u5640, _u5642) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5642), _u5640)) )).
% 27.66/27.87 cnf(fact_log_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5641), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5643), _u5641)) | ( c_Random_Olog(_u5641, _u5643) = 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(_u5641, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u5643), _u5641)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_field__le__epsilon ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_field__le__epsilon-1, axiom, ( ~class_Fields_Olinordered__field(_u5645) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5645), _u5646), _u5647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5645), c_Groups_Ozero__class_Ozero(_u5645)), skolem86(_u5647, _u5646, _u5645))) )).
% 27.66/27.87 cnf(fact_field__le__epsilon-2, axiom, ( ~class_Fields_Olinordered__field(_u5645) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5645), _u5646), _u5647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5645), _u5646), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5645), _u5647), skolem86(_u5647, _u5646, _u5645)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_minus__shift__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_minus__shift__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5651), _u5653)) | ( c_Random_Ominus__shift(_u5655, _u5651, _u5653) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5655), _u5651)), _u5653)) )).
% 27.66/27.87 cnf(fact_minus__shift__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5652), _u5654)) | ( c_Random_Ominus__shift(_u5656, _u5652, _u5654) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5652), _u5654)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_inc__shift__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_inc__shift__def-1, axiom, ( ( _u5659 != _u5661) | ( c_Random_Oinc__shift(_u5659, _u5661) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 27.66/27.87 cnf(fact_inc__shift__def-2, axiom, ( ( _u5660 = _u5662) | ( c_Random_Oinc__shift(_u5660, _u5662) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5662), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_code__numeral_Osize_I4_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5663)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u5663)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_code__numeral_Osize_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_code__numeral_Osize_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u5664)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u5664)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_subtract__code__numeral__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_subtract__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_minus__code__numeral__code ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_minus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5665), _u5666) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u5665), _u5666)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_code__numeral_Oinject ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_code__numeral_Oinject-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u5669) != c_Code__Numeral_OSuc__code__numeral(_u5671)) | ( _u5669 = _u5671) )).
% 27.66/27.87 cnf(fact_code__numeral_Oinject-2, axiom, ( ( _u5670 != _u5672) | ( c_Code__Numeral_OSuc__code__numeral(_u5670) = c_Code__Numeral_OSuc__code__numeral(_u5672)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_code__numeral_Osimps_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5673)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_code__numeral_Osimps_I3_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_code__numeral_Osimps_I3_J-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u5674) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_code__numeral_Osimps_I5_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_code__numeral_Osimps_I5_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5675, _u5676, _u5677, c_Code__Numeral_OSuc__code__numeral(_u5678)) = hAPP(_u5677, _u5678)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Suc__code__numeral__minus__one ( axiom ) converted to clauses:
% 27.66/27.87 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(_u5679)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u5679) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_negDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5680))) | ~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), _u5680)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5680)) = 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), _u5680)))) )).
% 27.66/27.87 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), _u5680))) | 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), _u5680)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5680)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5680)), 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), _u5680))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__nat__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5683), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5685)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5683)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5685)) )).
% 27.66/27.87 cnf(fact_diff__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5684), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5686)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5684)) = 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), _u5686), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5684)))), 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_code__numeral_Orecs_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_code__numeral_Orecs_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5687, _u5688, _u5689, c_Code__Numeral_OSuc__code__numeral(_u5690)) = hAPP(hAPP(_u5689, _u5690), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5687, _u5688, _u5689, _u5690))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__nat__step ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u5691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5691), _u5692)) | ( c_Divides_Odivmod__nat(_u5692, _u5691) = 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), _u5692), _u5691)), _u5691))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5692), _u5691), _u5691))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_code__numeral__not__eq__zero ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_code__numeral__not__eq__zero-1, axiom, ( ( _u5694 = 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)), _u5694)) )).
% 27.66/27.87 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)), _u5695)) | ( _u5695 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__nat__zero ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__nat__zero-1, axiom, ( ( c_Divides_Odivmod__nat(_u5696, 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)), _u5696)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Code__Numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Code__Numeral_Oof__nat__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, _u5699) != hAPP(c_Code__Numeral_Oof__nat, _u5701)) | ( _u5699 = _u5701) )).
% 27.66/27.87 cnf(fact_Code__Numeral_Oof__nat__inject-2, axiom, ( ( _u5700 != _u5702) | ( hAPP(c_Code__Numeral_Oof__nat, _u5700) = hAPP(c_Code__Numeral_Oof__nat, _u5702)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Code__Numeral_Oof__nat__code ( axiom ) converted to clauses:
% 27.66/27.87 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)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_fun__Compl__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_fun__Compl__def-1, axiom, ( ~class_Groups_Ouminus(_u5703) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5704, _u5703)), _u5705), _u5706) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5703), hAPP(_u5705, _u5706))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_fun__diff__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_fun__diff__def-1, axiom, ( ~class_Groups_Ominus(_u5707) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5708, _u5707)), _u5709), _u5710), _u5711) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5707), hAPP(_u5709, _u5711)), hAPP(_u5710, _u5711))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__nat__base ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__nat__base-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5712), _u5713)) | ( c_Divides_Odivmod__nat(_u5712, _u5713) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5712)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__eq__Suc__le__raw ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__eq__Suc__le__raw-1, axiom, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5714) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5714))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__number__of__Bit0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__number__of__Bit0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5715)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5715)), 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)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_times__code__numeral__code ( axiom ) converted to clauses:
% 27.66/27.87 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, _u5716)), hAPP(c_Code__Numeral_Oof__nat, _u5717)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5716), _u5717))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__nat__div__mod ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__nat__div__mod-1, axiom, ( ( c_Divides_Odivmod__nat(_u5718, _u5719) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5718), _u5719)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5718, _u5719))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__number__of__even ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__number__of__even-1, axiom, ( ~class_Int_Onumber__ring(_u5720) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5720), _u5721), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5722))) = hAPP(hAPP(c_HOL_OLet(_u5720, _u5720), hAPP(hAPP(c_Power_Opower__class_Opower(_u5720), _u5721), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5722))), hAPP(hAPP(c_COMBS(_u5720, _u5720, _u5720), c_Groups_Otimes__class_Otimes(_u5720)), c_COMBI(_u5720)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zpower__number__of__even ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zpower__number__of__even-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5724))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5724))), 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)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__number__of__even__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__number__of__even__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5725) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5725), _u5726)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5727))) = hAPP(hAPP(c_HOL_OLet(_u5725, _u5725), hAPP(hAPP(c_Power_Opower__class_Opower(_u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5725), _u5726)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5727))), hAPP(hAPP(c_COMBS(_u5725, _u5725, _u5725), c_Groups_Otimes__class_Otimes(_u5725)), c_COMBI(_u5725)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__nat__eq__if ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__nat__eq__if-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5730)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5732)), hAPP(c_Int_Onat, _u5730)) = hAPP(c_Int_Onat, _u5732)) )).
% 27.66/27.87 cnf(fact_diff__nat__eq__if-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5731)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5733)), hAPP(c_Int_Onat, _u5731)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5733), _u5731)), 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_negDivAlg__div__mod ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_negDivAlg__div__mod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5734), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5735)) | ( c_Divides_OnegDivAlg(_u5734, _u5735) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5734), _u5735)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5734, _u5735))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_negDivAlg__minus1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_negDivAlg__minus1-1, axiom, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u5736) = 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), _u5736), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_semiring__1__class_Oof__nat__code ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_semiring__1__class_Oof__nat__code-1, axiom, ( ~class_Rings_Osemiring__1(_u5737) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5737), _u5738) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u5737, hAPP(hAPP(c_COMBC(_u5737, _u5737, _u5737), c_Groups_Oplus__class_Oplus(_u5737)), c_Groups_Oone__class_Oone(_u5737)), _u5738, c_Groups_Ozero__class_Ozero(_u5737))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_adjust__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_adjust__eq-1, axiom, ( ( hAPP(c_Divides_Oadjust(_u5739), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5740), _u5741)) = 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), _u5741), _u5739)), 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)))), _u5740)), 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)))), _u5740)), _u5741)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zero__code__numeral__def ( axiom ) converted to clauses:
% 27.66/27.87 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_one__code__numeral__def ( axiom ) converted to clauses:
% 27.66/27.87 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__code__numeral__code ( axiom ) converted to clauses:
% 27.66/27.87 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, _u5744)), hAPP(c_Code__Numeral_Oof__nat, _u5746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5744), _u5746)) )).
% 27.66/27.87 cnf(fact_less__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5745), _u5747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5745)), hAPP(c_Code__Numeral_Oof__nat, _u5747))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_eq__number__of__Suc ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_eq__number__of__Suc-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5750) != hAPP(c_Nat_OSuc, _u5752)) | 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(_u5750))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5752))))) )).
% 27.66/27.87 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(_u5751))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5753))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5751) = hAPP(c_Nat_OSuc, _u5753)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Suc__eq__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Suc__eq__number__of-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5756) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5758)) | 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(_u5758))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5756))))) )).
% 27.66/27.87 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(_u5759))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5757))))) | ( hAPP(c_Nat_OSuc, _u5757) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5759)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_plus__code__numeral__code ( axiom ) converted to clauses:
% 27.66/27.87 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, _u5760)), hAPP(c_Code__Numeral_Oof__nat, _u5761)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5760), _u5761))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__eq__code__numeral__code ( axiom ) converted to clauses:
% 27.66/27.87 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, _u5764)), hAPP(c_Code__Numeral_Oof__nat, _u5766))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5764), _u5766)) )).
% 27.66/27.87 cnf(fact_less__eq__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), _u5767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5765)), hAPP(c_Code__Numeral_Oof__nat, _u5767))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__number__of__Bit1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5769))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5769)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.87 cnf(fact_nat__number__of__Bit1-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5770))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5770)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5770)), 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))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__number__of__Suc ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5773)), hAPP(c_Nat_OSuc, _u5775))) | 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(_u5773))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5775)))) )).
% 27.66/27.87 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(_u5774))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5776)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5774)), hAPP(c_Nat_OSuc, _u5776))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__Suc__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_less__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5779)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5781))) | 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(_u5781))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5779)), c_Int_Onat))))) )).
% 27.66/27.87 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(_u5782))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5780)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5780)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5782))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_le__number__of__Suc ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5785)), hAPP(c_Nat_OSuc, _u5787))) | 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(_u5785))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5787)))) )).
% 27.66/27.87 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(_u5786))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5788)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5786)), hAPP(c_Nat_OSuc, _u5788))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_le__Suc__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_le__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5791)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5793))) | 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(_u5793))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5791)), c_Int_Onat))))) )).
% 27.66/27.87 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(_u5794))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5792)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5792)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5794))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_subtract__code__numeral__code ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_subtract__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u5795)), hAPP(c_Code__Numeral_Oof__nat, _u5796)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5795), _u5796))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__number__of__odd ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__number__of__odd-1, axiom, ( ~class_Int_Onumber__ring(_u5797) | ~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), _u5798))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5797), _u5799), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5798))) = hAPP(hAPP(c_HOL_OLet(_u5797, _u5797), hAPP(hAPP(c_Power_Opower__class_Opower(_u5797), _u5799), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5798))), hAPP(hAPP(c_COMBS(_u5797, _u5797, _u5797), hAPP(hAPP(c_COMBB(_u5797, tc_fun(_u5797, _u5797), _u5797), c_Groups_Otimes__class_Otimes(_u5797)), hAPP(c_Groups_Otimes__class_Otimes(_u5797), _u5799))), c_COMBI(_u5797)))) )).
% 27.66/27.87 cnf(fact_power__number__of__odd-2, axiom, ( ~class_Int_Onumber__ring(_u5797) | 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), _u5798))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5797), _u5799), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5798))) = c_Groups_Oone__class_Oone(_u5797)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zpower__number__of__odd ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5802))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5804), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5802))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5804), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5802))), 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), _u5804))), c_COMBI(tc_Int_Oint)))) )).
% 27.66/27.87 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), _u5803))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5805), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5803))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_negDivAlg_Osimps ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_negDivAlg_Osimps-1, axiom, ( ( c_Divides_OnegDivAlg(_u5808, _u5810) = 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), _u5808), _u5810))) | ~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), _u5808), _u5810))) )).
% 27.66/27.87 cnf(fact_negDivAlg_Osimps-2, axiom, ( ( c_Divides_OnegDivAlg(_u5808, _u5810) = 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), _u5808), _u5810))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5810), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.87 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), _u5809), _u5811))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5811), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5809, _u5811) = hAPP(c_Divides_Oadjust(_u5811), c_Divides_OnegDivAlg(_u5809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5811)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_power__number__of__odd__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_power__number__of__odd__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5812) | ~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), _u5813))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5812), hAPP(c_Int_Onumber__class_Onumber__of(_u5812), _u5814)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5813))) = hAPP(hAPP(c_HOL_OLet(_u5812, _u5812), hAPP(hAPP(c_Power_Opower__class_Opower(_u5812), hAPP(c_Int_Onumber__class_Onumber__of(_u5812), _u5814)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5813))), hAPP(hAPP(c_COMBS(_u5812, _u5812, _u5812), hAPP(hAPP(c_COMBB(_u5812, tc_fun(_u5812, _u5812), _u5812), c_Groups_Otimes__class_Otimes(_u5812)), hAPP(c_Groups_Otimes__class_Otimes(_u5812), hAPP(c_Int_Onumber__class_Onumber__of(_u5812), _u5814)))), c_COMBI(_u5812)))) )).
% 27.66/27.87 cnf(fact_power__number__of__odd__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u5812) | 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), _u5813))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5812), hAPP(c_Int_Onumber__class_Onumber__of(_u5812), _u5814)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5813))) = c_Groups_Oone__class_Oone(_u5812)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_code__numeral_Orecs_I1_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_code__numeral_Orecs_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5815, _u5816, _u5817, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5816) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_negDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5818))) | ~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), _u5819)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5818)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5819), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5818)) = 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), _u5819)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5818)))) )).
% 27.66/27.87 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), _u5818))) | 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), _u5819)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5818)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5819), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5818)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5818)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5819), hAPP(hAPP(c_Groups_Otimes__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), _u5818))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_negDivAlg__eqn ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u5820)) | ~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), _u5821), _u5820))) | ( c_Divides_OnegDivAlg(_u5821, _u5820) = 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), _u5821), _u5820))) )).
% 27.66/27.87 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)), _u5820)) | 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), _u5821), _u5820))) | ( c_Divides_OnegDivAlg(_u5821, _u5820) = hAPP(c_Divides_Oadjust(_u5820), c_Divides_OnegDivAlg(_u5821, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5820)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_norm__frac_Osimps ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_norm__frac_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5824), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5826, _u5824) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5826), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5824))) )).
% 27.66/27.87 cnf(fact_norm__frac_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5825), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5827, _u5825) = 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))) | ( _u5827 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.87 cnf(fact_norm__frac_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5825), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5827, _u5825) = 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))) | ( _u5825 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.87 cnf(fact_norm__frac_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5825), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5827 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5825 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u5827, _u5825) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u5827), _u5825)), 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), _u5827))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5825)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__case__add__eq__if ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__case__add__eq__if-1, axiom, ( ( c_Nat_Onat_Onat__case(_u5828, _u5829, _u5830, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5831)), _u5832)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5828), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5831))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5828, _u5828), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5828, tc_fun(_u5828, _u5828)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5828, tc_fun(_u5828, _u5828)), tc_Int_Oint), c_If(_u5828)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u5828, _u5829, _u5830, _u5832))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5828, tc_Int_Oint), _u5830), 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)), _u5832))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_posDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5833))) | ~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), _u5833))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5833)) = 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))) )).
% 27.66/27.87 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), _u5833))) | 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), _u5833))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5833)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5833)), 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), _u5833))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_posDivAlg_Osimps ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_posDivAlg_Osimps-1, axiom, ( ( c_Divides_OposDivAlg(_u5836, _u5838) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5836), _u5838)) )).
% 27.66/27.87 cnf(fact_posDivAlg_Osimps-2, axiom, ( ( c_Divides_OposDivAlg(_u5836, _u5838) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5838), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.87 cnf(fact_posDivAlg_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5837), _u5839)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5839), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5837, _u5839) = hAPP(c_Divides_Oadjust(_u5839), c_Divides_OposDivAlg(_u5837, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5839)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_adjust__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_adjust__def-1, axiom, ( ( c_Divides_Oadjust(_u5840) = 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)), _u5840))))), 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)), _u5840))))), 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)))))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__case__0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__case__0-1, axiom, ( ( c_Nat_Onat_Onat__case(_u5841, _u5842, _u5843, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u5842) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__case__Suc ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__case__Suc-1, axiom, ( ( c_Nat_Onat_Onat__case(_u5844, _u5845, _u5846, hAPP(c_Nat_OSuc, _u5847)) = hAPP(_u5846, _u5847)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_posDivAlg__0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_posDivAlg__0-1, axiom, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5848) = 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_less__eq__nat_Osimps_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 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, _u5851)), _u5853)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5851), _u5853)) )).
% 27.66/27.87 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), _u5852), _u5854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5852)), _u5854)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_diff__Suc ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_diff__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5855), hAPP(c_Nat_OSuc, _u5856)) = 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), _u5855), _u5856))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_posDivAlg__div__mod ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u5857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5858)) | ( c_Divides_OposDivAlg(_u5857, _u5858) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5857), _u5858)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5857, _u5858))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__case__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__case__number__of-1, axiom, ( ( c_Nat_Onat_Onat__case(_u5859, _u5860, _u5861, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5862)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5859), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5862))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5859, _u5859), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5859, tc_fun(_u5859, _u5859)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5859, tc_fun(_u5859, _u5859)), tc_Int_Oint), c_If(_u5859)), c_Nat__Numeral_Oneg)), _u5860)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5859, tc_Int_Oint), _u5861), c_Int_Onat)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_posDivAlg__eqn ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u5863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5864), _u5863)) | ( c_Divides_OposDivAlg(_u5864, _u5863) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5864)) )).
% 27.66/27.87 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)), _u5863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5864), _u5863)) | ( c_Divides_OposDivAlg(_u5864, _u5863) = hAPP(c_Divides_Oadjust(_u5863), c_Divides_OposDivAlg(_u5864, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5863)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_posDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5865))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5866)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5865))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5866), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5865)) = 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), _u5866))) )).
% 27.66/27.87 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), _u5865))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5866)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5865))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5866), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5865)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5865)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5866), hAPP(hAPP(c_Groups_Otimes__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), _u5865))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_of__int__num ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_of__int__num-1, axiom, ( ~class_Rings_Oring__1(_u5867) | ( _u5868 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5867), _u5868) = c_Groups_Ozero__class_Ozero(_u5867)) )).
% 27.66/27.87 cnf(fact_of__int__num-2, axiom, ( ~class_Rings_Oring__1(_u5867) | ( _u5868 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5868), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5867), _u5868) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5867), hAPP(c_Int_Oring__1__class_Oof__int(_u5867), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5868)))) )).
% 27.66/27.87 cnf(fact_of__int__num-3, axiom, ( ~class_Rings_Oring__1(_u5867) | ( _u5868 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5868), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5867), _u5868) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u5867), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u5867, _u5867)), tc_fun(tc_Int_Oint, _u5867)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5867, _u5867), _u5867), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u5867, _u5867)), tc_fun(tc_Int_Oint, _u5867)), tc_Int_Oint), c_COMBB(tc_fun(_u5867, _u5867), _u5867, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u5867, tc_fun(tc_fun(_u5867, _u5867), _u5867), tc_Int_Oint), c_HOL_OLet(_u5867, _u5867)), c_Int_Oring__1__class_Oof__int(_u5867)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5867, _u5867), tc_fun(_u5867, _u5867)), hAPP(hAPP(c_COMBB(tc_fun(_u5867, tc_fun(_u5867, _u5867)), tc_fun(tc_fun(_u5867, _u5867), tc_fun(_u5867, _u5867)), tc_Int_Oint), c_COMBS(_u5867, _u5867, _u5867)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5867, _u5867), tc_fun(_u5867, tc_fun(_u5867, _u5867))), hAPP(hAPP(c_COMBB(tc_fun(_u5867, tc_fun(_u5867, _u5867)), tc_fun(tc_fun(_u5867, _u5867), tc_fun(_u5867, tc_fun(_u5867, _u5867))), tc_Int_Oint), c_COMBB(_u5867, tc_fun(_u5867, _u5867), _u5867)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5867, tc_fun(_u5867, _u5867)), tc_Int_Oint), c_If(_u5867)), 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(_u5867, _u5867, _u5867), c_Groups_Oplus__class_Oplus(_u5867)), c_COMBI(_u5867))))), hAPP(hAPP(c_COMBC(_u5867, _u5867, _u5867), hAPP(hAPP(c_COMBB(_u5867, tc_fun(_u5867, _u5867), _u5867), c_Groups_Oplus__class_Oplus(_u5867)), hAPP(hAPP(c_COMBS(_u5867, _u5867, _u5867), c_Groups_Oplus__class_Oplus(_u5867)), c_COMBI(_u5867)))), c_Groups_Oone__class_Oone(_u5867))))), c_Divides_Odivmod__int(_u5868, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__rec__add__eq__if ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__rec__add__eq__if-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5869, _u5870, _u5871), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5872)), _u5873)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5869), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5872))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5869, _u5869), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5869, tc_fun(_u5869, _u5869)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5869, tc_fun(_u5869, _u5869)), tc_Int_Oint), c_If(_u5869)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u5869, _u5870, _u5871), _u5873))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5869, _u5869), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5869, _u5869), tc_Int_Oint), _u5871), 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)), _u5873))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5869, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5869, _u5870, _u5871)), 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)), _u5873)))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__nat__rel__mult2__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__nat__rel__mult2__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(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5878)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5874, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5875), _u5878)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5876), _u5878)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5875), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5876, _u5878))), _u5877)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__nat__rel__mult1__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__nat__rel__mult1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5879, _u5880), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5881), _u5882))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5880)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5883), _u5879), _u5880), 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), _u5883), _u5881)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5883), _u5882)), _u5880))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5883), _u5882), _u5880)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_negDivAlg_Opsimps ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5884), _u5885))) | ( c_Divides_OnegDivAlg(_u5884, _u5885) = 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), _u5884), _u5885))) | ~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), _u5884), _u5885))) )).
% 27.66/27.87 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), _u5884), _u5885))) | ( c_Divides_OnegDivAlg(_u5884, _u5885) = 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), _u5884), _u5885))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5885), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.87 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), _u5884), _u5885))) | 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), _u5884), _u5885))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5885), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5884, _u5885) = hAPP(c_Divides_Oadjust(_u5885), c_Divides_OnegDivAlg(_u5884, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5885)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5891, _u5893), _u5895)) | ~hBOOL(hAPP(hAPP(_u5893, _u5886), _u5895)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5891, _u5893), _u5886)) )).
% 27.66/27.87 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5892, _u5894), _u5896)) | hBOOL(hAPP(hAPP(_u5894, skolem87(_u5896, _u5894, _u5892)), _u5896)) )).
% 27.66/27.87 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5892, _u5894), _u5896)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5892, _u5894), skolem87(_u5896, _u5894, _u5892))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5902, _u5904), _u5906)) | ~hBOOL(hAPP(hAPP(_u5904, _u5897), _u5906)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5902, _u5904), _u5897)) )).
% 27.66/27.87 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5903, _u5905), _u5907)) | hBOOL(hAPP(hAPP(_u5905, skolem88(_u5907, _u5905, _u5903)), _u5907)) )).
% 27.66/27.87 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5903, _u5905), _u5907)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5903, _u5905), skolem88(_u5907, _u5905, _u5903))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5908, _u5909), _u5910)) | ~hBOOL(hAPP(hAPP(_u5909, _u5911), _u5910)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5908, _u5909), _u5911)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__nat__rel__unique ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__nat__rel__unique-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5912, _u5913), _u5914)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5912, _u5913), _u5915)) | ( _u5914 = _u5915) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_accp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5916, tc_fun(_u5916, tc_HOL_Obool))), _u5917), _u5918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5916, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u5916, _u5918)), c_Wellfounded_Oaccp(_u5916, _u5917))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__rec__0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__rec__0-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5919, _u5920, _u5921), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u5920) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__rec__Suc ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__rec__Suc-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5922, _u5923, _u5924), hAPP(c_Nat_OSuc, _u5925)) = hAPP(hAPP(_u5924, _u5925), hAPP(c_Nat_Onat_Onat__rec(_u5922, _u5923, _u5924), _u5925))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__nat__rel__divmod__nat ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__nat__rel__divmod__nat-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5926, _u5927), c_Divides_Odivmod__nat(_u5926, _u5927))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__nat__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__nat__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5928, _u5929), _u5930)) | ( c_Divides_Odivmod__nat(_u5928, _u5929) = _u5930) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mod__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mod__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5931, _u5932), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5933), _u5934))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5931, _u5932) = _u5934) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_div__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5935, _u5936), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5937), _u5938))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5935), _u5936) = _u5937) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__nat__rel ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__nat__rel-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5939, _u5940), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5939), _u5940)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5939, _u5940)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__int__mod__div ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__int__mod__div-1, axiom, ( ( c_Divides_Odivmod__int(_u5941, _u5942) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5941), _u5942)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5941, _u5942))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__nat__rel__add1__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__nat__rel__add1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5943, _u5944), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5945), _u5946))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5947, _u5944), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5948), _u5949))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5944)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5943), _u5947), _u5944), 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), _u5945), _u5948)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5946), _u5949)), _u5944))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5946), _u5949), _u5944)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__rec__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_nat__rec__number__of-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5950, _u5951, _u5952), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5953)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5950), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5953))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5950, _u5950), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5950, tc_fun(_u5950, _u5950)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5950, tc_fun(_u5950, _u5950)), tc_Int_Oint), c_If(_u5950)), c_Nat__Numeral_Oneg)), _u5951)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5950, _u5950), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5950, _u5950), tc_Int_Oint), _u5952), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5950, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5950, _u5951, _u5952)), c_Int_Onat))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_posDivAlg_Opsimps ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5954), _u5955))) | ( c_Divides_OposDivAlg(_u5954, _u5955) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5954), _u5955)) )).
% 27.66/27.87 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), _u5954), _u5955))) | ( c_Divides_OposDivAlg(_u5954, _u5955) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5955), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.87 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), _u5954), _u5955))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5954), _u5955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5955), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5954, _u5955) = hAPP(c_Divides_Oadjust(_u5955), c_Divides_OposDivAlg(_u5954, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5955)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_norm__frac_Opsimps ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5956), _u5957))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5957), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5956, _u5957) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5956), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5957))) )).
% 27.66/27.87 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), _u5956), _u5957))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5957), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5956, _u5957) = 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))) | ( _u5956 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.87 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), _u5956), _u5957))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5957), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5956, _u5957) = 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))) | ( _u5957 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.87 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), _u5956), _u5957))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5957), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5956 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5957 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u5956, _u5957) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u5956), _u5957)), 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), _u5956))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5957)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Nitpick_OFrac__def ( axiom ) converted to clauses:
% 27.66/27.87 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))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__int__def ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u5960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5962)) | ( c_Divides_Odivmod__int(_u5960, _u5962) = c_Divides_OposDivAlg(_u5960, _u5962)) )).
% 27.66/27.87 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)), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5962)) | ( _u5960 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5960, _u5962) = 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))) )).
% 27.66/27.87 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)), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5962)) | ( _u5960 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5960, _u5962) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5960), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5962)))) )).
% 27.66/27.87 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)), _u5961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5963)) | ( c_Divides_Odivmod__int(_u5961, _u5963) = c_Divides_OnegDivAlg(_u5961, _u5963)) )).
% 27.66/27.87 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)), _u5961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5963)) | ( c_Divides_Odivmod__int(_u5961, _u5963) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5961), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5963)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_negDivAlg_Opinduct ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5966), _u5967))) | hBOOL(hAPP(hAPP(_u5968, _u5966), _u5967)) | 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(_u5968, _u5967, _u5966)), skolem90(_u5968, _u5967, _u5966)))) )).
% 27.66/27.87 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), _u5966), _u5967))) | hBOOL(hAPP(hAPP(_u5968, _u5966), _u5967)) | 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(_u5968, _u5967, _u5966)), skolem90(_u5968, _u5967, _u5966)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem90(_u5968, _u5967, _u5966)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5968, skolem89(_u5968, _u5967, _u5966)), hAPP(hAPP(c_Groups_Otimes__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(_u5968, _u5967, _u5966)))) )).
% 27.66/27.87 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), _u5966), _u5967))) | hBOOL(hAPP(hAPP(_u5968, _u5966), _u5967)) | ~hBOOL(hAPP(hAPP(_u5968, skolem89(_u5968, _u5967, _u5966)), skolem90(_u5968, _u5967, _u5966))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_negateSnd__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_negateSnd__eq-1, axiom, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5969), _u5970)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5969), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5970))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_prod__caseI ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_prod__caseI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u5971, _u5972), _u5973)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5974, _u5975, tc_HOL_Obool), _u5971), hAPP(hAPP(c_Product__Type_OPair(_u5974, _u5975), _u5972), _u5973))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_splitI ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u5976, _u5977), _u5978)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5979, _u5980, tc_HOL_Obool), _u5976), hAPP(hAPP(c_Product__Type_OPair(_u5979, _u5980), _u5977), _u5978))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_posDivAlg_Opinduct ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5983), _u5984))) | hBOOL(hAPP(hAPP(_u5985, _u5983), _u5984)) | 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(_u5985, _u5984, _u5983)), skolem92(_u5985, _u5984, _u5983)))) )).
% 27.66/27.87 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), _u5983), _u5984))) | hBOOL(hAPP(hAPP(_u5985, _u5983), _u5984)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem91(_u5985, _u5984, _u5983)), skolem92(_u5985, _u5984, _u5983))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem92(_u5985, _u5984, _u5983)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5985, skolem91(_u5985, _u5984, _u5983)), hAPP(hAPP(c_Groups_Otimes__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(_u5985, _u5984, _u5983)))) )).
% 27.66/27.87 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), _u5983), _u5984))) | hBOOL(hAPP(hAPP(_u5985, _u5983), _u5984)) | ~hBOOL(hAPP(hAPP(_u5985, skolem91(_u5985, _u5984, _u5983)), skolem92(_u5985, _u5984, _u5983))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__gcd_Opsimps ( axiom ) converted to clauses:
% 27.66/27.87 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), _u5986), _u5987))) | ( _u5987 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u5986, _u5987) = _u5986) )).
% 27.66/27.87 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), _u5986), _u5987))) | ( _u5987 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u5986, _u5987) = c_Nitpick_Onat__gcd(_u5987, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5986, _u5987))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__int__pdivmod ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__int__pdivmod-1, axiom, ( ( _u5990 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5990, _u5992) = 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))) )).
% 27.66/27.87 cnf(fact_divmod__int__pdivmod-2, axiom, ( ( _u5991 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5993 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5991, _u5993) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5991)) )).
% 27.66/27.87 cnf(fact_divmod__int__pdivmod-3, axiom, ( ( _u5991 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5993 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5991, _u5993) = 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, _u5993))), 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)), _u5993)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5991))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5993), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5991), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u5991, _u5993)), 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), _u5993))))), c_Divides_Opdivmod(_u5991, _u5993))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_apsnd__conv ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_apsnd__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u5994, _u5995, _u5996, _u5997), hAPP(hAPP(c_Product__Type_OPair(_u5996, _u5994), _u5998), _u5999)) = hAPP(hAPP(c_Product__Type_OPair(_u5996, _u5995), _u5998), hAPP(_u5997, _u5999))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Pair__inject ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Pair__inject-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6000, _u6001), _u6002), _u6003) != hAPP(hAPP(c_Product__Type_OPair(_u6000, _u6001), _u6004), _u6005)) | ( _u6002 = _u6004) )).
% 27.66/27.87 cnf(fact_Pair__inject-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6000, _u6001), _u6002), _u6003) != hAPP(hAPP(c_Product__Type_OPair(_u6000, _u6001), _u6004), _u6005)) | ( _u6003 = _u6005) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Pair__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Pair__eq-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6012, _u6014), _u6016), _u6018) != hAPP(hAPP(c_Product__Type_OPair(_u6012, _u6014), _u6020), _u6022)) | ( _u6016 = _u6020) )).
% 27.66/27.87 cnf(fact_Pair__eq-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6012, _u6014), _u6016), _u6018) != hAPP(hAPP(c_Product__Type_OPair(_u6012, _u6014), _u6020), _u6022)) | ( _u6018 = _u6022) )).
% 27.66/27.87 cnf(fact_Pair__eq-3, axiom, ( ( _u6017 != _u6021) | ( _u6019 != _u6023) | ( hAPP(hAPP(c_Product__Type_OPair(_u6013, _u6015), _u6017), _u6019) = hAPP(hAPP(c_Product__Type_OPair(_u6013, _u6015), _u6021), _u6023)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_split__paired__All ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_split__paired__All-1, axiom, ( ~hBOOL(hAPP(_u6033, skolem93(_u6037, _u6035, _u6033))) | hBOOL(hAPP(_u6033, hAPP(hAPP(c_Product__Type_OPair(_u6035, _u6037), _u6026), _u6025))) )).
% 27.66/27.87 cnf(fact_split__paired__All-2, axiom, ( ~hBOOL(hAPP(_u6034, hAPP(hAPP(c_Product__Type_OPair(_u6036, _u6038), skolem94(_u6038, _u6036, _u6034)), skolem95(_u6038, _u6036, _u6034)))) | hBOOL(hAPP(_u6034, _u6029)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_negateSnd__def ( axiom ) converted to clauses:
% 27.66/27.87 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))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_split__weak__cong ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_split__weak__cong-1, axiom, ( ( _u6039 != _u6040) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6041, _u6042, _u6043), _u6044), _u6039) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6041, _u6042, _u6043), _u6044), _u6040)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_split__conv ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6045, _u6046, _u6047), _u6048), hAPP(hAPP(c_Product__Type_OPair(_u6045, _u6046), _u6049), _u6050)) = hAPP(hAPP(_u6048, _u6049), _u6050)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_prod_Osimps_I2_J ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_prod_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6051, _u6052, _u6053), _u6054), hAPP(hAPP(c_Product__Type_OPair(_u6051, _u6052), _u6055), _u6056)) = hAPP(hAPP(_u6054, _u6055), _u6056)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_splitD ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_splitD-1, axiom, ( hBOOL(hAPP(hAPP(_u6059, _u6060), _u6061)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6057, _u6058, tc_HOL_Obool), _u6059), hAPP(hAPP(c_Product__Type_OPair(_u6057, _u6058), _u6060), _u6061))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_split__eta ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_split__eta-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u6062, _u6063, _u6064), hAPP(hAPP(c_COMBB(tc_fun(_u6063, tc_prod(_u6062, _u6063)), tc_fun(_u6063, _u6064), _u6062), hAPP(c_COMBB(tc_prod(_u6062, _u6063), _u6064, _u6063), _u6065)), c_Product__Type_OPair(_u6062, _u6063))) = _u6065) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_split__twice ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_split__twice-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6066, _u6067, _u6068), _u6069), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6070, _u6071, tc_prod(_u6066, _u6067)), _u6072), _u6073)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6070, _u6071, _u6068), hAPP(hAPP(c_COMBB(tc_fun(_u6071, tc_prod(_u6066, _u6067)), tc_fun(_u6071, _u6068), _u6070), hAPP(c_COMBB(tc_prod(_u6066, _u6067), _u6068, _u6071), hAPP(c_Product__Type_Oprod_Oprod__case(_u6066, _u6067, _u6068), _u6069))), _u6072)), _u6073)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pdivmod__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_pdivmod__def-1, axiom, ( ( c_Divides_Opdivmod(_u6074, _u6075) = 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), _u6074)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6075))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6074), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6075)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pdivmod__posDivAlg ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_pdivmod__posDivAlg-1, axiom, ( ( _u6078 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u6080, _u6078) = 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), _u6080))) )).
% 27.66/27.87 cnf(fact_pdivmod__posDivAlg-2, axiom, ( ( _u6079 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u6081, _u6079) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6081), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6079))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__int__code ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__int__code-1, axiom, ( ( _u6084 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6084, _u6086) = 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))) )).
% 27.66/27.87 cnf(fact_divmod__int__code-2, axiom, ( ( _u6085 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6087 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6085, _u6087) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6085)) )).
% 27.66/27.87 cnf(fact_divmod__int__code-3, axiom, ( ( _u6085 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6087 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6085, _u6087) = 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, _u6087))), 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, _u6085)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u6087))), c_Divides_Opdivmod(_u6085, _u6087)), 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), _u6087))))), c_Divides_Opdivmod(_u6085, _u6087))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__mod__code__numeral__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_div__mod__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u6088, _u6089) = 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), _u6088), _u6089)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6088, _u6089))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zmult2__lemma ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zmult2__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6090, _u6091), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6092), _u6093))) | ( _u6091 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6094)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6090, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6091), _u6094)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6092), _u6094)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6091), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6092, _u6094))), _u6093)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mod__pos__neg__1__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u6095)), 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), _u6095)) = 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), _u6095)))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__int__rel__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__int__rel__def-1, axiom, ( ( c_Divides_Odivmod__int__rel(_u6096, _u6097) = 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, _u6096))), 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), _u6097)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u6097))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u6097))))), 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)), _u6097)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u6097))), 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)))))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_norm__frac_Opinduct ( axiom ) converted to clauses:
% 27.66/27.87 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), _u6100), _u6101))) | hBOOL(hAPP(hAPP(_u6102, _u6100), _u6101)) | 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(_u6102, _u6101, _u6100)), skolem97(_u6102, _u6101, _u6100)))) )).
% 27.66/27.87 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), _u6100), _u6101))) | hBOOL(hAPP(hAPP(_u6102, _u6100), _u6101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem97(_u6102, _u6101, _u6100)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6102, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem96(_u6102, _u6101, _u6100))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem97(_u6102, _u6101, _u6100)))) )).
% 27.66/27.87 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), _u6100), _u6101))) | hBOOL(hAPP(hAPP(_u6102, _u6100), _u6101)) | ~hBOOL(hAPP(hAPP(_u6102, skolem96(_u6102, _u6101, _u6100)), skolem97(_u6102, _u6101, _u6100))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_splitD_H ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_splitD_H-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(_u6106, _u6107), _u6108), _u6109)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6103, _u6104, tc_fun(_u6105, tc_HOL_Obool)), _u6106), hAPP(hAPP(c_Product__Type_OPair(_u6103, _u6104), _u6107), _u6108)), _u6109)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_snd__eqD ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_snd__eqD-1, axiom, ( ( _u6113 = _u6114) | ( hAPP(c_Product__Type_Osnd(_u6110, _u6111), hAPP(hAPP(c_Product__Type_OPair(_u6110, _u6111), _u6112), _u6113)) != _u6114) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_snd__conv ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_snd__conv-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6115, _u6116), hAPP(hAPP(c_Product__Type_OPair(_u6115, _u6116), _u6117), _u6118)) = _u6118) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_snd__apsnd ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_snd__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6119, _u6120), hAPP(c_Product__Type_Oapsnd(_u6121, _u6120, _u6119, _u6122), _u6123)) = hAPP(_u6122, hAPP(c_Product__Type_Osnd(_u6119, _u6121), _u6123))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_apsnd__eq__conv ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_apsnd__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u6130, _u6132, _u6134, _u6136), _u6138) != hAPP(c_Product__Type_Oapsnd(_u6130, _u6132, _u6134, _u6140), _u6138)) | ( hAPP(_u6136, hAPP(c_Product__Type_Osnd(_u6134, _u6130), _u6138)) = hAPP(_u6140, hAPP(c_Product__Type_Osnd(_u6134, _u6130), _u6138))) )).
% 27.66/27.87 cnf(fact_apsnd__eq__conv-2, axiom, ( ( hAPP(_u6137, hAPP(c_Product__Type_Osnd(_u6135, _u6131), _u6139)) != hAPP(_u6141, hAPP(c_Product__Type_Osnd(_u6135, _u6131), _u6139))) | ( hAPP(c_Product__Type_Oapsnd(_u6131, _u6133, _u6135, _u6137), _u6139) = hAPP(c_Product__Type_Oapsnd(_u6131, _u6133, _u6135, _u6141), _u6139)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_snd__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_snd__def-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6142, _u6143), _u6144) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6142, _u6143, _u6143), hAPP(c_COMBK(tc_fun(_u6143, _u6143), _u6142), c_COMBI(_u6143))), _u6144)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mod__int__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mod__int__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6145, _u6146) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u6145, _u6146))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__int__rel__0 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__int__rel__0-1, axiom, ( ( _u6147 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u6147), 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)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_self__remainder ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_self__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6148, _u6148), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6149), _u6150))) | ( _u6148 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6150 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_unique__quotient ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_unique__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6151, _u6152), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6153), _u6154))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6151, _u6152), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6155), _u6156))) | ( _u6152 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6153 = _u6155) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_unique__remainder ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_unique__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6157, _u6158), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6159), _u6160))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6157, _u6158), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6161), _u6162))) | ( _u6158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6160 = _u6162) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__int__rel__neg ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__int__rel__neg-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6163), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6164)), _u6165)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6163, _u6164), hAPP(c_Divides_OnegateSnd, _u6165))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__int__correct ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__int__correct-1, axiom, ( ( _u6166 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6167, _u6166), c_Divides_Odivmod__int(_u6167, _u6166))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_self__quotient ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_self__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6168, _u6168), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6169), _u6170))) | ( _u6168 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6169 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__int__rel__mod ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__int__rel__mod-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6171, _u6172), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6173), _u6174))) | ( _u6172 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6171, _u6172) = _u6174) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__int__rel__div ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__int__rel__div-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6175, _u6176), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6177), _u6178))) | ( _u6176 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6175), _u6176) = _u6177) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_negDivAlg__correct ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_negDivAlg__correct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6179), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6180)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6179, _u6180), c_Divides_OnegDivAlg(_u6179, _u6180))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mod__neg__pos ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mod__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6181), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6182)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6181, _u6182) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u6181, _u6182))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__int__rel__div__mod ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__int__rel__div__mod-1, axiom, ( ( _u6183 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6184, _u6183), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6184), _u6183)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6184, _u6183)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_posDivAlg__correct ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u6185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6186)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6185, _u6186), c_Divides_OposDivAlg(_u6185, _u6186))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mod__pos__pos ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u6187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6188)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6187, _u6188) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u6187, _u6188))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mod__pos__pos__1__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u6189))) | ( 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), _u6189)) = 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), _u6189)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zadd1__lemma ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zadd1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6190, _u6191), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6192), _u6193))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6194, _u6191), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6195), _u6196))) | ( _u6191 = 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), _u6190), _u6194), _u6191), 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), _u6192), _u6195)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6193), _u6196)), _u6191))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6193), _u6196), _u6191)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zminus1__lemma ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zminus1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6197, _u6198), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6199), _u6200))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6197), _u6198), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u6200), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6199)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6199)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u6200), 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), _u6198), _u6200))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mod__pos__neg ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u6201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6202), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6201, _u6202) = 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), _u6201), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6202))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__nat__if ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__nat__if-1, axiom, ( ( c_Divides_Odivmod__nat(_u6207, _u6205) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6207)) | ( _u6205 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.87 cnf(fact_divmod__nat__if-2, axiom, ( ( c_Divides_Odivmod__nat(_u6207, _u6205) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6207), _u6205)) )).
% 27.66/27.87 cnf(fact_divmod__nat__if-3, axiom, ( ( _u6206 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6208), _u6206)) | ( c_Divides_Odivmod__nat(_u6208, _u6206) = 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), _u6208), _u6206), _u6206))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__int__relI ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__int__relI-1, axiom, ( ( _u6209 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6210), _u6211)), _u6212)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6209, _u6210), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6211), _u6212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6210), _u6212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6212), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.87 cnf(fact_divmod__int__relI-2, axiom, ( ( _u6209 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6210), _u6211)), _u6212)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6209, _u6210), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6211), _u6212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6212), _u6210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6210)) )).
% 27.66/27.87 cnf(fact_divmod__int__relI-3, axiom, ( ( _u6209 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6210), _u6211)), _u6212)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6209, _u6210), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6211), _u6212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6212), _u6210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6210), _u6212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6212), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mod__neg__neg ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mod__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6213), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6214), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6213, _u6214) = 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), _u6213), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6214))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_zmult1__lemma ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_zmult1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6215, _u6216), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6217), _u6218))) | ( _u6216 = 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), _u6219), _u6215), _u6216), 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), _u6219), _u6217)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6219), _u6218)), _u6216))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6219), _u6218), _u6216)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_equalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6220, tc_HOL_Obool)), _u6221), _u6222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6220, tc_HOL_Obool)), _u6222), _u6221)) | ( _u6221 = _u6222) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__pos__neg__1__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u6223)), 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), _u6223)) = 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), _u6223)))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_nat__gcd_Opinduct ( axiom ) converted to clauses:
% 27.66/27.87 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), _u6226), _u6227))) | hBOOL(hAPP(hAPP(_u6228, _u6226), _u6227)) | 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(_u6228, _u6227, _u6226)), skolem99(_u6228, _u6227, _u6226)))) )).
% 27.66/27.87 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), _u6226), _u6227))) | hBOOL(hAPP(hAPP(_u6228, _u6226), _u6227)) | ( skolem99(_u6228, _u6227, _u6226) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u6228, skolem99(_u6228, _u6227, _u6226)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem98(_u6228, _u6227, _u6226), skolem99(_u6228, _u6227, _u6226)))) )).
% 27.66/27.87 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), _u6226), _u6227))) | hBOOL(hAPP(hAPP(_u6228, _u6226), _u6227)) | ~hBOOL(hAPP(hAPP(_u6228, skolem98(_u6228, _u6227, _u6226)), skolem99(_u6228, _u6227, _u6226))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__neg__neg ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_div__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6229), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6230), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6229), _u6230) = 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), _u6229), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6230))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__number__of__Suc ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6231)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6232)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6232))), 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), _u6231)), c_Int_Onat))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__Suc__Suc ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6233)), hAPP(c_Nat_OSuc, _u6234)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6233), _u6234))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__le__iff__disj ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__le__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6235) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6235), _u6236), _u6237)), _u6238)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), _u6236), _u6238)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), _u6237), _u6238)) )).
% 27.66/27.87 cnf(fact_min__le__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6235) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6235), _u6236), _u6237)), _u6238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), _u6236), _u6238)) )).
% 27.66/27.87 cnf(fact_min__le__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6235) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6235), _u6236), _u6237)), _u6238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), _u6237), _u6238)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Ole__infE ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Ole__infE-1, axiom, ( ~class_Orderings_Olinorder(_u6239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6239), _u6240), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6239), _u6241), _u6242))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6239), _u6240), _u6241)) )).
% 27.66/27.87 cnf(fact_min__max_Ole__infE-2, axiom, ( ~class_Orderings_Olinorder(_u6239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6239), _u6240), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6239), _u6241), _u6242))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6239), _u6240), _u6242)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf__mono ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf__mono-1, axiom, ( ~class_Orderings_Olinorder(_u6243) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6243), _u6244), _u6245)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6243), _u6246), _u6247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6243), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6243), _u6244), _u6246)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6243), _u6245), _u6247))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf__greatest ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf__greatest-1, axiom, ( ~class_Orderings_Olinorder(_u6248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), _u6249), _u6250)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), _u6249), _u6251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), _u6249), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6248), _u6250), _u6251))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Ole__infI ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Ole__infI-1, axiom, ( ~class_Orderings_Olinorder(_u6252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6252), _u6253), _u6254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6252), _u6253), _u6255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6252), _u6253), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6252), _u6254), _u6255))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf__absorb2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u6256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6257), _u6258)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6256), _u6258), _u6257) = _u6257) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf__absorb1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u6259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6259), _u6260), _u6261)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6259), _u6260), _u6261) = _u6260) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Ole__infI2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Ole__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u6262) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6262), _u6263), _u6264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6262), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6262), _u6265), _u6263)), _u6264)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Ole__infI1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Ole__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u6266) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6266), _u6267), _u6268)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6266), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6266), _u6267), _u6269)), _u6268)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Ole__inf__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Ole__inf__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6270), _u6272), _u6273))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), _u6272)) )).
% 27.66/27.87 cnf(fact_min__max_Ole__inf__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6270), _u6272), _u6273))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), _u6273)) )).
% 27.66/27.87 cnf(fact_min__max_Ole__inf__iff-3, axiom, ( ~class_Orderings_Olinorder(_u6270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), _u6272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), _u6273)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6270), _u6272), _u6273))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Ole__iff__inf ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Ole__iff__inf-1, axiom, ( ~class_Orderings_Olinorder(_u6274) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6274), _u6275), _u6276)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6274), _u6275), _u6276) = _u6275) )).
% 27.66/27.87 cnf(fact_min__max_Ole__iff__inf-2, axiom, ( ~class_Orderings_Olinorder(_u6274) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6274), _u6275), _u6276) != _u6275) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6274), _u6275), _u6276)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf__le2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf__le2-1, axiom, ( ~class_Orderings_Olinorder(_u6277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6277), _u6278), _u6279)), _u6279)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf__le1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf__le1-1, axiom, ( ~class_Orderings_Olinorder(_u6280) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6280), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6280), _u6281), _u6282)), _u6281)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__0R ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6283), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__0L ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6284) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__add__distrib__left ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6285) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6285), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6285), _u6286), _u6287)), _u6288) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6285), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6285), _u6286), _u6288)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6285), _u6287), _u6288))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf_Oidem ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6289) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6289), _u6290), _u6290) = _u6290) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf_Ocommute ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u6291) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6291), _u6292), _u6293) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6291), _u6293), _u6292)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf__commute ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6294) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6294), _u6295), _u6296) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6294), _u6296), _u6295)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf_Oleft__idem ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6297) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6297), _u6298), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6297), _u6298), _u6299)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6297), _u6298), _u6299)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf__left__idem ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6300) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6300), _u6301), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6300), _u6301), _u6302)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6300), _u6301), _u6302)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf_Oleft__commute ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6303) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6303), _u6304), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6303), _u6305), _u6306)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6303), _u6305), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6303), _u6304), _u6306))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf__left__commute ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6307) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6307), _u6308), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6307), _u6309), _u6310)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6307), _u6309), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6307), _u6308), _u6310))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf_Oassoc ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u6311) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6311), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6311), _u6312), _u6313)), _u6314) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6311), _u6312), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6311), _u6313), _u6314))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf__assoc ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u6315) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6315), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6315), _u6316), _u6317)), _u6318) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6315), _u6316), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6315), _u6317), _u6318))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oless__infI2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oless__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u6319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6319), _u6320), _u6321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6319), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6319), _u6322), _u6320)), _u6321)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oless__infI1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oless__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u6323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6323), _u6324), _u6325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6323), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6323), _u6324), _u6326)), _u6325)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__less__iff__conj ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u6327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6327), _u6329), _u6330))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), _u6329)) )).
% 27.66/27.87 cnf(fact_min__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u6327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6327), _u6329), _u6330))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), _u6330)) )).
% 27.66/27.87 cnf(fact_min__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u6327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), _u6329)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), _u6330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6327), _u6329), _u6330))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__less__iff__disj ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__less__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6331), _u6332), _u6333)), _u6334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), _u6332), _u6334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), _u6333), _u6334)) )).
% 27.66/27.87 cnf(fact_min__less__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6331) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6331), _u6332), _u6333)), _u6334)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), _u6332), _u6334)) )).
% 27.66/27.87 cnf(fact_min__less__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6331) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6331), _u6332), _u6333)), _u6334)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), _u6333), _u6334)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__diff__distrib__left ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6335) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6335), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6335), _u6336), _u6337)), _u6338) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6335), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6335), _u6336), _u6338)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6335), _u6337), _u6338))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__diff ( axiom ) converted to clauses:
% 27.66/27.87 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), _u6339), _u6340)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6341), _u6340)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6339), _u6341)), _u6340)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_fst__conv ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_fst__conv-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6342, _u6343), hAPP(hAPP(c_Product__Type_OPair(_u6342, _u6343), _u6344), _u6345)) = _u6344) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_fst__eqD ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_fst__eqD-1, axiom, ( ( _u6348 = _u6350) | ( hAPP(c_Product__Type_Ofst(_u6346, _u6347), hAPP(hAPP(c_Product__Type_OPair(_u6346, _u6347), _u6348), _u6349)) != _u6350) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Pair__fst__snd__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Pair__fst__snd__eq-1, axiom, ( ( _u6355 != _u6357) | ( hAPP(c_Product__Type_Ofst(_u6359, _u6361), _u6355) = hAPP(c_Product__Type_Ofst(_u6359, _u6361), _u6357)) )).
% 27.66/27.87 cnf(fact_Pair__fst__snd__eq-2, axiom, ( ( _u6355 != _u6357) | ( hAPP(c_Product__Type_Osnd(_u6359, _u6361), _u6355) = hAPP(c_Product__Type_Osnd(_u6359, _u6361), _u6357)) )).
% 27.66/27.87 cnf(fact_Pair__fst__snd__eq-3, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6360, _u6362), _u6356) != hAPP(c_Product__Type_Ofst(_u6360, _u6362), _u6358)) | ( hAPP(c_Product__Type_Osnd(_u6360, _u6362), _u6356) != hAPP(c_Product__Type_Osnd(_u6360, _u6362), _u6358)) | ( _u6356 = _u6358) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_prod__eqI ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_prod__eqI-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6363, _u6364), _u6365) != hAPP(c_Product__Type_Ofst(_u6363, _u6364), _u6366)) | ( hAPP(c_Product__Type_Osnd(_u6363, _u6364), _u6365) != hAPP(c_Product__Type_Osnd(_u6363, _u6364), _u6366)) | ( _u6365 = _u6366) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_fst__apsnd ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_fst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6367, _u6368), hAPP(c_Product__Type_Oapsnd(_u6369, _u6368, _u6367, _u6370), _u6371)) = hAPP(c_Product__Type_Ofst(_u6367, _u6369), _u6371)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_fst__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_fst__def-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6372, _u6373), _u6374) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6372, _u6373, _u6372), c_COMBK(_u6372, _u6373)), _u6374)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__number__of ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__number__of-1, axiom, ( ~class_Int_Onumber(_u6375) | ~class_Orderings_Oord(_u6375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6375), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6376)), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6377))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6375), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6376)), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6377)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6376)) )).
% 27.66/27.87 cnf(fact_min__number__of-2, axiom, ( ~class_Int_Onumber(_u6375) | ~class_Orderings_Oord(_u6375) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6375), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6376)), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6377))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6375), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6376)), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6377)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6377)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_pair__collapse ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_pair__collapse-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6378, _u6379), hAPP(c_Product__Type_Ofst(_u6378, _u6379), _u6380)), hAPP(c_Product__Type_Osnd(_u6378, _u6379), _u6380)) = _u6380) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_surjective__pairing ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_surjective__pairing-1, axiom, ( ( _u6381 = hAPP(hAPP(c_Product__Type_OPair(_u6382, _u6383), hAPP(c_Product__Type_Ofst(_u6382, _u6383), _u6381)), hAPP(c_Product__Type_Osnd(_u6382, _u6383), _u6381))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_prod__case__beta ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_prod__case__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6384, _u6385, _u6386), _u6387), _u6388) = hAPP(hAPP(_u6387, hAPP(c_Product__Type_Ofst(_u6384, _u6385), _u6388)), hAPP(c_Product__Type_Osnd(_u6384, _u6385), _u6388))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__int__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_div__int__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6389), _u6390) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u6389, _u6390))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_mod__nat__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_mod__nat__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6391, _u6392) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u6391, _u6392))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_split__comp__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_split__comp__eq-1, axiom, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u6393, _u6394), _u6394, _u6395), hAPP(hAPP(c_COMBB(_u6396, tc_fun(_u6394, _u6395), tc_prod(_u6393, _u6394)), _u6397), hAPP(hAPP(c_COMBB(_u6393, _u6396, tc_prod(_u6393, _u6394)), _u6398), c_Product__Type_Ofst(_u6393, _u6394)))), c_Product__Type_Osnd(_u6393, _u6394)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u6393, _u6394, _u6395), hAPP(hAPP(c_COMBB(_u6396, tc_fun(_u6394, _u6395), _u6393), _u6397), _u6398))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_split__beta ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_split__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6399, _u6400, _u6401), _u6402), _u6403) = hAPP(hAPP(_u6402, hAPP(c_Product__Type_Ofst(_u6399, _u6400), _u6403)), hAPP(c_Product__Type_Osnd(_u6399, _u6400), _u6403))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_split__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_split__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6404, _u6405, _u6406), _u6407), _u6408) = hAPP(hAPP(_u6407, hAPP(c_Product__Type_Ofst(_u6404, _u6405), _u6408)), hAPP(c_Product__Type_Osnd(_u6404, _u6405), _u6408))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Diff__subset ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6409, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6409, tc_HOL_Obool)), _u6410), _u6411)), _u6410)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Diff__mono ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Diff__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6412, tc_HOL_Obool)), _u6413), _u6414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6412, tc_HOL_Obool)), _u6415), _u6416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6412, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6412, tc_HOL_Obool)), _u6413), _u6416)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6412, tc_HOL_Obool)), _u6414), _u6415))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_double__diff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_double__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6417, tc_HOL_Obool)), _u6418), _u6419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6417, tc_HOL_Obool)), _u6419), _u6420)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6417, tc_HOL_Obool)), _u6419), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6417, tc_HOL_Obool)), _u6420), _u6418)) = _u6418) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Compl__subset__Compl__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Compl__subset__Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6424, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6424, tc_HOL_Obool)), _u6426)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6424, tc_HOL_Obool)), _u6428))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6424, tc_HOL_Obool)), _u6428), _u6426)) )).
% 27.66/27.87 cnf(fact_Compl__subset__Compl__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6425, tc_HOL_Obool)), _u6429), _u6427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6425, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6425, tc_HOL_Obool)), _u6427)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6425, tc_HOL_Obool)), _u6429))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Compl__anti__mono ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Compl__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6430, tc_HOL_Obool)), _u6431), _u6432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6430, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6430, tc_HOL_Obool)), _u6432)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6430, tc_HOL_Obool)), _u6431))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_subset__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6433, tc_HOL_Obool)), _u6434), _u6434)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_set__eq__subset-1, axiom, ( ( _u6438 != _u6440) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6442, tc_HOL_Obool)), _u6438), _u6440)) )).
% 27.66/27.87 cnf(fact_set__eq__subset-2, axiom, ( ( _u6438 != _u6440) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6442, tc_HOL_Obool)), _u6440), _u6438)) )).
% 27.66/27.87 cnf(fact_set__eq__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6443, tc_HOL_Obool)), _u6439), _u6441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6443, tc_HOL_Obool)), _u6441), _u6439)) | ( _u6439 = _u6441) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_equalityD1-1, axiom, ( ( _u6444 != _u6445) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6446, tc_HOL_Obool)), _u6444), _u6445)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_equalityD2-1, axiom, ( ( _u6447 != _u6448) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6449, tc_HOL_Obool)), _u6448), _u6447)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6450, tc_HOL_Obool)), _u6451), _u6452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6450, tc_HOL_Obool)), _u6452), _u6453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6450, tc_HOL_Obool)), _u6451), _u6453)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_equalityE-1, axiom, ( ( _u6454 != _u6455) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6456, tc_HOL_Obool)), _u6454), _u6455)) )).
% 27.66/27.87 cnf(fact_equalityE-2, axiom, ( ( _u6454 != _u6455) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6456, tc_HOL_Obool)), _u6455), _u6454)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_psubset__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6460, tc_HOL_Obool)), _u6462), _u6464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6460, tc_HOL_Obool)), _u6462), _u6464)) )).
% 27.66/27.87 cnf(fact_psubset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6460, tc_HOL_Obool)), _u6462), _u6464)) | ( _u6462 != _u6464) )).
% 27.66/27.87 cnf(fact_psubset__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6461, tc_HOL_Obool)), _u6463), _u6465)) | ( _u6463 = _u6465) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6461, tc_HOL_Obool)), _u6463), _u6465)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_subset__iff__psubset__eq ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_subset__iff__psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6469, tc_HOL_Obool)), _u6471), _u6473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6469, tc_HOL_Obool)), _u6471), _u6473)) | ( _u6471 = _u6473) )).
% 27.66/27.87 cnf(fact_subset__iff__psubset__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6470, tc_HOL_Obool)), _u6472), _u6474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6470, tc_HOL_Obool)), _u6472), _u6474)) )).
% 27.66/27.87 cnf(fact_subset__iff__psubset__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6470, tc_HOL_Obool)), _u6472), _u6474)) | ( _u6472 != _u6474) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_psubset__imp__subset ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_psubset__imp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6475, tc_HOL_Obool)), _u6476), _u6477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6475, tc_HOL_Obool)), _u6476), _u6477)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_psubset__subset__trans ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_psubset__subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6478, tc_HOL_Obool)), _u6479), _u6480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6478, tc_HOL_Obool)), _u6480), _u6481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6478, tc_HOL_Obool)), _u6479), _u6481)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_subset__psubset__trans ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_subset__psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6482, tc_HOL_Obool)), _u6483), _u6484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6482, tc_HOL_Obool)), _u6484), _u6485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6482, tc_HOL_Obool)), _u6483), _u6485)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__Suc2 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6486), hAPP(c_Nat_OSuc, _u6487)) = 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)), _u6487)), _u6486)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__Suc1 ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6488)), _u6489) = 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), _u6488)), _u6489)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__neg__pos ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_div__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6490), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6491)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6490), _u6491) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u6490, _u6491))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__pos__pos ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u6492)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6493)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6492), _u6493) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u6492, _u6493))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__pos__pos__1__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u6494))) | ( 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), _u6494)) = 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), _u6494)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__pos__neg ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u6495)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6496), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6495), _u6496) = 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), _u6495), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6496))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__Suc__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u6497)), hAPP(c_Nat_OSuc, _u6498)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6497))), 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)), _u6498))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_prod__size__simp ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_prod__size__simp-1, axiom, ( ( c_Product__Type_Oprod_Oprod__size(_u6499, _u6500, _u6501, _u6502, _u6503) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u6501, hAPP(c_Product__Type_Ofst(_u6499, _u6500), _u6503))), hAPP(_u6502, hAPP(c_Product__Type_Osnd(_u6499, _u6500), _u6503)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_exI__realizer ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_exI__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6504, _u6505), _u6506)) | hBOOL(hAPP(hAPP(_u6504, hAPP(c_Product__Type_Osnd(_u6507, _u6508), hAPP(hAPP(c_Product__Type_OPair(_u6507, _u6508), _u6506), _u6505))), hAPP(c_Product__Type_Ofst(_u6507, _u6508), hAPP(hAPP(c_Product__Type_OPair(_u6507, _u6508), _u6506), _u6505)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_conjI__realizer ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_conjI__realizer-1, axiom, ( ~hBOOL(hAPP(_u6509, _u6510)) | ~hBOOL(hAPP(_u6511, _u6512)) | hBOOL(hAPP(_u6509, hAPP(c_Product__Type_Ofst(_u6513, _u6514), hAPP(hAPP(c_Product__Type_OPair(_u6513, _u6514), _u6510), _u6512)))) )).
% 27.66/27.87 cnf(fact_conjI__realizer-2, axiom, ( ~hBOOL(hAPP(_u6509, _u6510)) | ~hBOOL(hAPP(_u6511, _u6512)) | hBOOL(hAPP(_u6511, hAPP(c_Product__Type_Osnd(_u6513, _u6514), hAPP(hAPP(c_Product__Type_OPair(_u6513, _u6514), _u6510), _u6512)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__ord__min ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__ord__min-1, axiom, ( ~class_Orderings_Oord(_u6515) | ( c_Orderings_Oord__class_Omin(_u6515) = c_Orderings_Oord_Omin(_u6515, c_Orderings_Oord__class_Oless__eq(_u6515))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_prod_Orecs ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_prod_Orecs-1, axiom, ( ( c_Product__Type_Oprod_Oprod__rec(_u6516, _u6517, _u6518, _u6519, hAPP(hAPP(c_Product__Type_OPair(_u6516, _u6517), _u6520), _u6521)) = hAPP(hAPP(_u6519, _u6520), _u6521)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_double__complement ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_double__complement-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6522, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6522, tc_HOL_Obool)), _u6523)) = _u6523) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Compl__eq__Compl__iff ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Compl__eq__Compl__iff-1, axiom, ( ( _u6529 = _u6531) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6527, tc_HOL_Obool)), _u6529) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6527, tc_HOL_Obool)), _u6531)) )).
% 27.66/27.87 cnf(fact_Compl__eq__Compl__iff-2, axiom, ( ( _u6530 != _u6532) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6528, tc_HOL_Obool)), _u6530) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6528, tc_HOL_Obool)), _u6532)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_Diff__idemp ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_Diff__idemp-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6533, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6533, tc_HOL_Obool)), _u6534), _u6535)), _u6535) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6533, tc_HOL_Obool)), _u6534), _u6535)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_psubset__trans ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6536, tc_HOL_Obool)), _u6537), _u6538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6536, tc_HOL_Obool)), _u6538), _u6539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6536, tc_HOL_Obool)), _u6537), _u6539)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_div__nat__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_div__nat__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6540), _u6541) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u6540, _u6541))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_divmod__nat__rel__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_divmod__nat__rel__def-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6545, _u6547), _u6549)) | ( _u6545 = 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), _u6549)), _u6547)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6549))) )).
% 27.66/27.87 cnf(fact_divmod__nat__rel__def-2, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6545, _u6547), _u6549)) | ( _u6547 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6549) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.87 cnf(fact_divmod__nat__rel__def-3, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6545, _u6547), _u6549)) | ( _u6547 = 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)), _u6547)) | 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), _u6549))) )).
% 27.66/27.87 cnf(fact_divmod__nat__rel__def-4, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6545, _u6547), _u6549)) | ( _u6547 = 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)), _u6547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6549)), _u6547)) )).
% 27.66/27.87 cnf(fact_divmod__nat__rel__def-5, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6545, _u6547), _u6549)) | ( _u6547 = 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)), _u6547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6547), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6549))) )).
% 27.66/27.87 cnf(fact_divmod__nat__rel__def-6, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6545, _u6547), _u6549)) | ( _u6547 = 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)), _u6547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6549)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.87 cnf(fact_divmod__nat__rel__def-7, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( _u6548 = 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)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6548), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.87 cnf(fact_divmod__nat__rel__def-8, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( _u6548 = 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), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6548)) )).
% 27.66/27.87 cnf(fact_divmod__nat__rel__def-9, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( _u6548 = 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), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6548), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.87 cnf(fact_divmod__nat__rel__def-10, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6550) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6548 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.66/27.87 cnf(fact_divmod__nat__rel__def-11, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6550) != 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)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6548), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.87 cnf(fact_divmod__nat__rel__def-12, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6550) != 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), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6548)) )).
% 27.66/27.87 cnf(fact_divmod__nat__rel__def-13, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6550) != 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), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6548), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_range ( axiom ) converted to clauses:
% 27.66/27.87 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)), _u6551)) | 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(_u6551), _u6552))), _u6551)) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_New__DSequence_Opos__not__seq__def ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_New__DSequence_Opos__not__seq__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u6553), _u6554) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u6553, 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)))), _u6554)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_max__Suc__number__of ( axiom ) converted to clauses:
% 27.66/27.87 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), _u6555)), hAPP(c_Nat_OSuc, _u6556)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6555))), 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, _u6556))), 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)), _u6556))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_max__number__of__Suc ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_max__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6557)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6558)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6558))), 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, _u6557))), 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), _u6557)), c_Int_Onat))))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_apfst__apsnd ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_apfst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u6559, _u6560, _u6561, _u6562), hAPP(c_Product__Type_Oapsnd(_u6563, _u6561, _u6559, _u6564), _u6565)) = hAPP(hAPP(c_Product__Type_OPair(_u6560, _u6561), hAPP(_u6562, hAPP(c_Product__Type_Ofst(_u6559, _u6563), _u6565))), hAPP(_u6564, hAPP(c_Product__Type_Osnd(_u6559, _u6563), _u6565)))) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Osup__inf__absorb ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Osup__inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u6566) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6566), _u6567), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6566), _u6567), _u6568)) = _u6567) )).
% 27.66/27.87
% 27.66/27.87 % Formula: fact_min__max_Oinf__sup__absorb ( axiom ) converted to clauses:
% 27.66/27.87 cnf(fact_min__max_Oinf__sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u6569) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6569), _u6570), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6569), _u6570), _u6571)) = _u6570) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup__inf__distrib1 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup__inf__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u6572) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6572), _u6573), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6572), _u6574), _u6575)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6572), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6572), _u6573), _u6574)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6572), _u6573), _u6575))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Oinf__sup__distrib1 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Oinf__sup__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u6576) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6576), _u6577), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6576), _u6578), _u6579)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6576), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6576), _u6577), _u6578)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6576), _u6577), _u6579))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup__inf__distrib2 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup__inf__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u6580) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6580), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6580), _u6581), _u6582)), _u6583) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6580), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6580), _u6581), _u6583)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6580), _u6582), _u6583))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Oinf__sup__distrib2 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Oinf__sup__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u6584) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6584), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6584), _u6585), _u6586)), _u6587) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6584), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6584), _u6585), _u6587)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6584), _u6586), _u6587))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_max__less__iff__conj ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_max__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u6588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6588), _u6589), _u6590)), _u6591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), _u6589), _u6591)) )).
% 27.66/27.88 cnf(fact_max__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u6588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6588), _u6589), _u6590)), _u6591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), _u6590), _u6591)) )).
% 27.66/27.88 cnf(fact_max__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u6588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), _u6589), _u6591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), _u6590), _u6591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6588), _u6589), _u6590)), _u6591)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_less__max__iff__disj ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_less__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6592), _u6594), _u6595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), _u6594)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), _u6595)) )).
% 27.66/27.88 cnf(fact_less__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6592), _u6594), _u6595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), _u6594)) )).
% 27.66/27.88 cnf(fact_less__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6592), _u6594), _u6595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), _u6595)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Oless__supI1 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Oless__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u6596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6596), _u6597), _u6598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6596), _u6597), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6596), _u6598), _u6599))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Oless__supI2 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Oless__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u6600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6600), _u6601), _u6602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6600), _u6601), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6600), _u6603), _u6602))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_max__diff__distrib__left ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_max__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6604) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6604), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6604), _u6605), _u6606)), _u6607) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6604), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6604), _u6605), _u6607)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6604), _u6606), _u6607))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_le__max__iff__disj ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_le__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6608), _u6610), _u6611))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), _u6610)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), _u6611)) )).
% 27.66/27.88 cnf(fact_le__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6608), _u6610), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), _u6610)) )).
% 27.66/27.88 cnf(fact_le__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6608), _u6610), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), _u6611)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Ole__supE ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Ole__supE-1, axiom, ( ~class_Orderings_Olinorder(_u6612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6612), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6612), _u6613), _u6614)), _u6615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6612), _u6613), _u6615)) )).
% 27.66/27.88 cnf(fact_min__max_Ole__supE-2, axiom, ( ~class_Orderings_Olinorder(_u6612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6612), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6612), _u6613), _u6614)), _u6615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6612), _u6614), _u6615)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup__mono ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup__mono-1, axiom, ( ~class_Orderings_Olinorder(_u6616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6616), _u6617), _u6618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6616), _u6619), _u6620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6616), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6616), _u6617), _u6619)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6616), _u6618), _u6620))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup__least ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup__least-1, axiom, ( ~class_Orderings_Olinorder(_u6621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), _u6622), _u6623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), _u6624), _u6623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6621), _u6622), _u6624)), _u6623)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Ole__supI ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Ole__supI-1, axiom, ( ~class_Orderings_Olinorder(_u6625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6625), _u6626), _u6627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6625), _u6628), _u6627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6625), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6625), _u6626), _u6628)), _u6627)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup__absorb1 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u6629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6629), _u6630), _u6631)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6629), _u6631), _u6630) = _u6631) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup__absorb2 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u6632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6632), _u6633), _u6634)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6632), _u6633), _u6634) = _u6634) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Ole__supI2 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Ole__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u6635) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6635), _u6636), _u6637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6635), _u6636), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6635), _u6638), _u6637))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Ole__supI1 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Ole__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u6639) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6639), _u6640), _u6641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6639), _u6640), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6639), _u6641), _u6642))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Ole__sup__iff ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Ole__sup__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6643), _u6644), _u6645)), _u6646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), _u6644), _u6646)) )).
% 27.66/27.88 cnf(fact_min__max_Ole__sup__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6643), _u6644), _u6645)), _u6646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), _u6645), _u6646)) )).
% 27.66/27.88 cnf(fact_min__max_Ole__sup__iff-3, axiom, ( ~class_Orderings_Olinorder(_u6643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), _u6644), _u6646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), _u6645), _u6646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6643), _u6644), _u6645)), _u6646)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Ole__iff__sup ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Ole__iff__sup-1, axiom, ( ~class_Orderings_Olinorder(_u6647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6647), _u6648), _u6649)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6647), _u6648), _u6649) = _u6649) )).
% 27.66/27.88 cnf(fact_min__max_Ole__iff__sup-2, axiom, ( ~class_Orderings_Olinorder(_u6647) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6647), _u6648), _u6649) != _u6649) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6647), _u6648), _u6649)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_le__maxI2 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_le__maxI2-1, axiom, ( ~class_Orderings_Olinorder(_u6650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6650), _u6651), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6650), _u6652), _u6651))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_le__maxI1 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_le__maxI1-1, axiom, ( ~class_Orderings_Olinorder(_u6653) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6653), _u6654), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6653), _u6654), _u6655))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_max__0R ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_max__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6656), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6656) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_max__0L ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_max__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6657) = _u6657) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_max__add__distrib__left ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_max__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6658) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6658), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6658), _u6659), _u6660)), _u6661) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6658), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6658), _u6659), _u6661)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6658), _u6660), _u6661))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup_Oidem ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6662) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6662), _u6663), _u6663) = _u6663) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup_Ocommute ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u6664) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6664), _u6665), _u6666) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6664), _u6666), _u6665)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup__commute ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6667) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6667), _u6668), _u6669) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6667), _u6669), _u6668)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup_Oleft__idem ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6670) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6670), _u6671), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6670), _u6671), _u6672)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6670), _u6671), _u6672)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup__left__idem ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6673) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6673), _u6674), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6673), _u6674), _u6675)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6673), _u6674), _u6675)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup_Oleft__commute ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6676) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6676), _u6677), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6676), _u6678), _u6679)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6676), _u6678), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6676), _u6677), _u6679))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup__left__commute ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6680) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6680), _u6681), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6680), _u6682), _u6683)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6680), _u6682), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6680), _u6681), _u6683))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup_Oassoc ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u6684) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6684), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6684), _u6685), _u6686)), _u6687) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6684), _u6685), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6684), _u6686), _u6687))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Osup__assoc ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Osup__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u6688) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6688), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6688), _u6689), _u6690)), _u6691) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6688), _u6689), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6688), _u6690), _u6691))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_max__Suc__Suc ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_max__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6692)), hAPP(c_Nat_OSuc, _u6693)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6692), _u6693))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_apfst__conv ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_apfst__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u6694, _u6695, _u6696, _u6697), hAPP(hAPP(c_Product__Type_OPair(_u6694, _u6696), _u6698), _u6699)) = hAPP(hAPP(c_Product__Type_OPair(_u6695, _u6696), hAPP(_u6697, _u6698)), _u6699)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_fst__apfst ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_fst__apfst-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6700, _u6701), hAPP(c_Product__Type_Oapfst(_u6702, _u6700, _u6701, _u6703), _u6704)) = hAPP(_u6703, hAPP(c_Product__Type_Ofst(_u6702, _u6701), _u6704))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_apfst__eq__conv ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_apfst__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u6711, _u6713, _u6715, _u6717), _u6719) != hAPP(c_Product__Type_Oapfst(_u6711, _u6713, _u6715, _u6721), _u6719)) | ( hAPP(_u6717, hAPP(c_Product__Type_Ofst(_u6711, _u6715), _u6719)) = hAPP(_u6721, hAPP(c_Product__Type_Ofst(_u6711, _u6715), _u6719))) )).
% 27.66/27.88 cnf(fact_apfst__eq__conv-2, axiom, ( ( hAPP(_u6718, hAPP(c_Product__Type_Ofst(_u6712, _u6716), _u6720)) != hAPP(_u6722, hAPP(c_Product__Type_Ofst(_u6712, _u6716), _u6720))) | ( hAPP(c_Product__Type_Oapfst(_u6712, _u6714, _u6716, _u6718), _u6720) = hAPP(c_Product__Type_Oapfst(_u6712, _u6714, _u6716, _u6722), _u6720)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_snd__apfst ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_snd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6723, _u6724), hAPP(c_Product__Type_Oapfst(_u6725, _u6723, _u6724, _u6726), _u6727)) = hAPP(c_Product__Type_Osnd(_u6725, _u6724), _u6727)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_max__number__of ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_max__number__of-1, axiom, ( ~class_Int_Onumber(_u6728) | ~class_Orderings_Oord(_u6728) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6728), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6729)), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6730))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6728), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6729)), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6730)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6730)) )).
% 27.66/27.88 cnf(fact_max__number__of-2, axiom, ( ~class_Int_Onumber(_u6728) | ~class_Orderings_Oord(_u6728) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6728), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6729)), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6730))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6728), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6729)), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6730)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6729)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Odistrib__sup__le ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Odistrib__sup__le-1, axiom, ( ~class_Orderings_Olinorder(_u6731) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6731), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6731), _u6732), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6731), _u6733), _u6734))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6731), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6731), _u6732), _u6733)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6731), _u6732), _u6734)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_min__max_Odistrib__inf__le ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_min__max_Odistrib__inf__le-1, axiom, ( ~class_Orderings_Olinorder(_u6735) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6735), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6735), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6735), _u6736), _u6737)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6735), _u6736), _u6738))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6735), _u6736), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6735), _u6737), _u6738)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_minus__min__eq__max ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_minus__min__eq__max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6739) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6739), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6739), _u6740), _u6741)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6739), hAPP(c_Groups_Ouminus__class_Ouminus(_u6739), _u6740)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6739), _u6741))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_minus__max__eq__min ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_minus__max__eq__min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6742) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6742), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6742), _u6743), _u6744)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6742), hAPP(c_Groups_Ouminus__class_Ouminus(_u6742), _u6743)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6742), _u6744))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_nat__minus__add__max ( axiom ) converted to clauses:
% 27.66/27.88 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), _u6745), _u6746)), _u6746) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6745), _u6746)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_apsnd__apfst__commute ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_apsnd__apfst__commute-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u6747, _u6748, _u6749, _u6750), hAPP(c_Product__Type_Oapfst(_u6751, _u6749, _u6747, _u6752), _u6753)) = hAPP(c_Product__Type_Oapfst(_u6751, _u6749, _u6748, _u6752), hAPP(c_Product__Type_Oapsnd(_u6747, _u6748, _u6751, _u6750), _u6753))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_max__Suc2 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_max__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6754), hAPP(c_Nat_OSuc, _u6755)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6755), 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)), _u6755)), _u6754)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_max__Suc1 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_max__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6756)), _u6757) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6756), 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), _u6756)), _u6757)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_apsnd__apfst ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_apsnd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u6758, _u6759, _u6760, _u6761), hAPP(c_Product__Type_Oapfst(_u6762, _u6760, _u6758, _u6763), _u6764)) = hAPP(hAPP(c_Product__Type_OPair(_u6760, _u6759), hAPP(_u6763, hAPP(c_Product__Type_Ofst(_u6762, _u6758), _u6764))), hAPP(_u6761, hAPP(c_Product__Type_Osnd(_u6762, _u6758), _u6764)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_dual__min ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_dual__min-1, axiom, ( ~class_Orderings_Olinorder(_u6765) | ( c_Orderings_Oord_Omin(_u6765, hAPP(c_COMBC(_u6765, _u6765, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u6765))) = c_Orderings_Oord__class_Omax(_u6765)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_max__ord__max ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_max__ord__max-1, axiom, ( ~class_Orderings_Oord(_u6766) | ( c_Orderings_Oord__class_Omax(_u6766) = c_Orderings_Oord_Omax(_u6766, c_Orderings_Oord__class_Oless__eq(_u6766))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_code__numeral__decr ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_code__numeral__decr-1, axiom, ( ( _u6767 = 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, _u6767)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u6767))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Nitpick_Ozero__frac__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Nitpick_Ozero__frac__def-1, axiom, ( ( c_Nitpick_Ozero__frac(_u6768) = c_Nitpick_OAbs__Frac(_u6768, 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)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_pos__not__random__dseq__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_pos__not__random__dseq__def-1, axiom, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u6769, _u6770, _u6771, _u6772) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u6769, _u6770), _u6771), _u6772))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_code__numeral_Onat__of__inject ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_code__numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u6775) != hAPP(c_Code__Numeral_Onat__of, _u6777)) | ( _u6775 = _u6777) )).
% 27.66/27.88 cnf(fact_code__numeral_Onat__of__inject-2, axiom, ( ( _u6776 != _u6778) | ( hAPP(c_Code__Numeral_Onat__of, _u6776) = hAPP(c_Code__Numeral_Onat__of, _u6778)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Code__Numeral_Onat__of__inject ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Code__Numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u6781) != hAPP(c_Code__Numeral_Onat__of, _u6783)) | ( _u6781 = _u6783) )).
% 27.66/27.88 cnf(fact_Code__Numeral_Onat__of__inject-2, axiom, ( ( _u6782 != _u6784) | ( hAPP(c_Code__Numeral_Onat__of, _u6782) = hAPP(c_Code__Numeral_Onat__of, _u6784)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_nat__of__inverse ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_nat__of__inverse-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u6785)) = _u6785) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_of__nat__nat__of ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_of__nat__nat__of-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u6786)) = _u6786) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_nat__of__of__nat ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_nat__of__of__nat-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u6787)) = _u6787) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_less__code__numeral__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_less__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6790), _u6792)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6790)), hAPP(c_Code__Numeral_Onat__of, _u6792))) )).
% 27.66/27.88 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, _u6791)), hAPP(c_Code__Numeral_Onat__of, _u6793))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6791), _u6793)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_nat__of__number ( axiom ) converted to clauses:
% 27.66/27.88 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), _u6794)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6794)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_less__eq__code__numeral__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_less__eq__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6797), _u6799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6797)), hAPP(c_Code__Numeral_Onat__of, _u6799))) )).
% 27.66/27.88 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, _u6798)), hAPP(c_Code__Numeral_Onat__of, _u6800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6798), _u6800)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_nat__of__code ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_nat__of__code-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u6801) = c_Code__Numeral_Onat__of__aux(_u6801, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_nat__of__aux__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_nat__of__aux__def-1, axiom, ( ( c_Code__Numeral_Onat__of__aux(_u6802, _u6803) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6802)), _u6803)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Min_Oidem ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Min_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6804) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6804), _u6805), _u6805) = _u6805) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Max_Oidem ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Max_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6806) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6806), _u6807), _u6807) = _u6807) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_dual__max ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_dual__max-1, axiom, ( ~class_Orderings_Olinorder(_u6808) | ( c_Orderings_Oord_Omax(_u6808, hAPP(c_COMBC(_u6808, _u6808, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u6808))) = c_Orderings_Oord__class_Omin(_u6808)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Suc__code__numeral__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Suc__code__numeral__def-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u6809) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u6809)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_minus__code__numeral__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_minus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6810), _u6811) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6810)), hAPP(c_Code__Numeral_Onat__of, _u6811)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_plus__code__numeral__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_plus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u6812), _u6813) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6812)), hAPP(c_Code__Numeral_Onat__of, _u6813)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_div__code__numeral__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_div__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u6814), _u6815) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6814)), hAPP(c_Code__Numeral_Onat__of, _u6815)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_times__code__numeral__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_times__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u6816), _u6817) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6816)), hAPP(c_Code__Numeral_Onat__of, _u6817)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_mod__code__numeral__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_mod__code__numeral__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6818, _u6819) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u6818), hAPP(c_Code__Numeral_Onat__of, _u6819)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Nitpick_Oone__frac__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Nitpick_Oone__frac__def-1, axiom, ( ( c_Nitpick_Oone__frac(_u6820) = c_Nitpick_OAbs__Frac(_u6820, 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)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Nitpick_Onumber__of__frac__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Nitpick_Onumber__of__frac__def-1, axiom, ( ( c_Nitpick_Onumber__of__frac(_u6821, _u6822) = c_Nitpick_OAbs__Frac(_u6821, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6822), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Nitpick_Ofrac__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Nitpick_Ofrac__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u6823), _u6824), _u6825) = c_Nitpick_OAbs__Frac(_u6823, c_Nitpick_Onorm__frac(_u6824, _u6825))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_surjective__sum ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_surjective__sum-1, axiom, ( ( c_Sum__Type_Osum_Osum__case(_u6826, _u6827, _u6828, hAPP(hAPP(c_COMBB(tc_sum(_u6826, _u6828), _u6827, _u6826), _u6829), c_Sum__Type_OInl(_u6826, _u6828)), hAPP(hAPP(c_COMBB(tc_sum(_u6826, _u6828), _u6827, _u6828), _u6829), c_Sum__Type_OInr(_u6828, _u6826))) = _u6829) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_iterate_Osimps ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_iterate_Osimps-1, axiom, ( ( _u6835 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u6837, _u6839, _u6835, _u6841), _u6843) = hAPP(c_Product__Type_OPair(_u6837, _u6839), _u6843)) )).
% 27.66/27.88 cnf(fact_iterate_Osimps-2, axiom, ( ( _u6836 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u6838, _u6840, _u6836, _u6842), _u6844) = hAPP(hAPP(c_Product__Type_Oscomp(_u6840, _u6838, _u6840, tc_prod(_u6838, _u6840)), hAPP(_u6842, _u6844)), c_Random_Oiterate(_u6838, _u6840, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6836), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u6842))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_scomp__scomp ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_scomp__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u6845, _u6846, _u6847, _u6848), hAPP(hAPP(c_Product__Type_Oscomp(_u6845, _u6849, _u6850, tc_prod(_u6846, _u6847)), _u6851), _u6852)), _u6853) = hAPP(hAPP(c_Product__Type_Oscomp(_u6845, _u6849, _u6850, _u6848), _u6851), hAPP(hAPP(c_COMBC(_u6849, tc_fun(_u6846, tc_fun(_u6847, _u6848)), tc_fun(_u6850, _u6848)), hAPP(hAPP(c_COMBB(tc_fun(_u6850, tc_prod(_u6846, _u6847)), tc_fun(tc_fun(_u6846, tc_fun(_u6847, _u6848)), tc_fun(_u6850, _u6848)), _u6849), c_Product__Type_Oscomp(_u6850, _u6846, _u6847, _u6848)), _u6852)), _u6853))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_sum__case__KK ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_sum__case__KK-1, axiom, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u6854, _u6855, _u6856, hAPP(c_COMBK(_u6855, _u6854), _u6857), hAPP(c_COMBK(_u6855, _u6856), _u6857)), _u6858) = _u6857) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_sum__case__weak__cong ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_sum__case__weak__cong-1, axiom, ( ( _u6859 != _u6860) | ( hAPP(c_Sum__Type_Osum_Osum__case(_u6861, _u6862, _u6863, _u6864, _u6865), _u6859) = hAPP(c_Sum__Type_Osum_Osum__case(_u6861, _u6862, _u6863, _u6864, _u6865), _u6860)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_sum__case__inject ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_sum__case__inject-1, axiom, ( ( c_Sum__Type_Osum_Osum__case(_u6866, _u6867, _u6868, _u6869, _u6870) != c_Sum__Type_Osum_Osum__case(_u6866, _u6867, _u6868, _u6871, _u6872)) | ( _u6869 = _u6871) )).
% 27.66/27.88 cnf(fact_sum__case__inject-2, axiom, ( ( c_Sum__Type_Osum_Osum__case(_u6866, _u6867, _u6868, _u6869, _u6870) != c_Sum__Type_Osum_Osum__case(_u6866, _u6867, _u6868, _u6871, _u6872)) | ( _u6870 = _u6872) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_scomp__Pair ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_scomp__Pair-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u6873, _u6874, _u6875, tc_prod(_u6874, _u6875)), _u6876), c_Product__Type_OPair(_u6874, _u6875)) = _u6876) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Pair__scomp ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Pair__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u6877, _u6878, _u6877, _u6879), hAPP(c_Product__Type_OPair(_u6878, _u6877), _u6880)), _u6881) = hAPP(_u6881, _u6880)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_scomp__apply ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_scomp__apply-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6882, _u6883, _u6884, _u6885), _u6886), _u6887), _u6888) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6883, _u6884, _u6885), _u6887), hAPP(_u6886, _u6888))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_sum_Osimps_I6_J ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_sum_Osimps_I6_J-1, axiom, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u6889, _u6890, _u6891, _u6892, _u6893), hAPP(c_Sum__Type_OInr(_u6891, _u6889), _u6894)) = hAPP(_u6893, _u6894)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_sum_Osimps_I5_J ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_sum_Osimps_I5_J-1, axiom, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u6895, _u6896, _u6897, _u6898, _u6899), hAPP(c_Sum__Type_OInl(_u6895, _u6897), _u6900)) = hAPP(_u6898, _u6900)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_scomp__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_scomp__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6901, _u6902, _u6903, _u6904), _u6905), _u6906), _u6907) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6902, _u6903, _u6904), _u6906), hAPP(_u6905, _u6907))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_scomp__unfold ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_scomp__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6908, _u6909, _u6910, _u6911), _u6912), _u6913), _u6914) = hAPP(hAPP(_u6913, hAPP(c_Product__Type_Ofst(_u6909, _u6910), hAPP(_u6912, _u6914))), hAPP(c_Product__Type_Osnd(_u6909, _u6910), hAPP(_u6912, _u6914)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Nitpick_Oplus__frac__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Nitpick_Oplus__frac__def-1, axiom, ( ( c_Nitpick_Oplus__frac(_u6915, _u6916, _u6917) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u6915), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u6915), _u6916), hAPP(c_Nitpick_Odenom(_u6915), _u6917))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u6915), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u6915), tc_Int_Oint), c_Nitpick_Ofrac(_u6915)), 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(_u6915), _u6916))), 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(_u6915), _u6916))))), 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(_u6915), _u6917))), 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(_u6915), _u6917)))))), c_COMBI(tc_Int_Oint)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_internal__split__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_internal__split__def-1, axiom, ( ( c_Product__Type_Ointernal__split(_u6918, _u6919, _u6920) = c_Product__Type_Oprod_Oprod__case(_u6918, _u6919, _u6920)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_transfer__morphism__int__nat ( axiom ) converted to clauses:
% 27.66/27.88 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)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_New__DSequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_New__DSequence_Opos__decr__bind__def-1, axiom, ( ( _u6926 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u6928, _u6930, _u6932, _u6934), _u6926) = c_Lazy__Sequence_Oempty(_u6930)) )).
% 27.66/27.88 cnf(fact_New__DSequence_Opos__decr__bind__def-2, axiom, ( ( _u6927 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u6929, _u6931, _u6933, _u6935), _u6927) = c_Lazy__Sequence_Obind(_u6929, _u6931, hAPP(_u6933, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6927), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u6929, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6931)), _u6935), _u6927))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_New__DSequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_New__DSequence_Oneg__decr__bind__def-1, axiom, ( ( _u6941 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u6943, _u6945, _u6947, _u6949), _u6941) = c_Lazy__Sequence_Ohit__bound(_u6945)) )).
% 27.66/27.88 cnf(fact_New__DSequence_Oneg__decr__bind__def-2, axiom, ( ( _u6942 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u6944, _u6946, _u6948, _u6950), _u6942) = c_Lazy__Sequence_Ohb__bind(_u6944, _u6946, hAPP(_u6948, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6942), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u6944, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u6946))), _u6950), _u6942))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_internal__split__conv ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_internal__split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u6951, _u6952, _u6953), _u6954), hAPP(hAPP(c_Product__Type_OPair(_u6951, _u6952), _u6955), _u6956)) = hAPP(hAPP(_u6954, _u6955), _u6956)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Nitpick_Otimes__frac__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Nitpick_Otimes__frac__def-1, axiom, ( ( c_Nitpick_Otimes__frac(_u6957, _u6958, _u6959) = hAPP(hAPP(c_Nitpick_Ofrac(_u6957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6957), _u6958)), hAPP(c_Nitpick_Onum(_u6957), _u6959))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u6957), _u6958)), hAPP(c_Nitpick_Odenom(_u6957), _u6959)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Nitpick_Oof__frac__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Nitpick_Oof__frac__def-1, axiom, ( ~class_Rings_Oinverse(_u6960) | ~class_Rings_Oring__1(_u6960) | ( c_Nitpick_Oof__frac(_u6961, _u6960, _u6962) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6960), hAPP(c_Int_Oring__1__class_Oof__int(_u6960), hAPP(c_Nitpick_Onum(_u6961), _u6962))), hAPP(c_Int_Oring__1__class_Oof__int(_u6960), hAPP(c_Nitpick_Odenom(_u6961), _u6962)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Nitpick_Oinverse__frac__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Nitpick_Oinverse__frac__def-1, axiom, ( ( c_Nitpick_Oinverse__frac(_u6963, _u6964) = hAPP(hAPP(c_Nitpick_Ofrac(_u6963), hAPP(c_Nitpick_Odenom(_u6963), _u6964)), hAPP(c_Nitpick_Onum(_u6963), _u6964))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Nitpick_Ouminus__frac__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Nitpick_Ouminus__frac__def-1, axiom, ( ( c_Nitpick_Ouminus__frac(_u6965, _u6966) = c_Nitpick_OAbs__Frac(_u6965, 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(_u6965), _u6966))), hAPP(c_Nitpick_Odenom(_u6965), _u6966)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_New__Random__Sequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_New__Random__Sequence_Oneg__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u6967, _u6968, _u6969, _u6970, _u6971, _u6972, _u6973) = c_New__DSequence_Oneg__decr__bind(_u6967, _u6968, hAPP(hAPP(hAPP(_u6969, _u6971), _u6972), _u6973), hAPP(hAPP(c_COMBC(_u6967, 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(_u6968)))), hAPP(hAPP(c_COMBC(_u6967, 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(_u6968))))), hAPP(hAPP(c_COMBC(_u6967, 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(_u6968)))))), _u6970), _u6971)), _u6972)), _u6973))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Nitpick_Oless__frac__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Nitpick_Oless__frac__def-1, axiom, ( ~c_Nitpick_Oless__frac(_u6977, _u6979, _u6981) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6977), c_Nitpick_Oplus__frac(_u6977, _u6979, c_Nitpick_Ouminus__frac(_u6977, _u6981)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.88 cnf(fact_Nitpick_Oless__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6978), c_Nitpick_Oplus__frac(_u6978, _u6980, c_Nitpick_Ouminus__frac(_u6978, _u6982)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u6978, _u6980, _u6982) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Nitpick_Oless__eq__frac__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Nitpick_Oless__eq__frac__def-1, axiom, ( ~c_Nitpick_Oless__eq__frac(_u6986, _u6988, _u6990) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6986), c_Nitpick_Oplus__frac(_u6986, _u6988, c_Nitpick_Ouminus__frac(_u6986, _u6990)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.66/27.88 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(_u6987), c_Nitpick_Oplus__frac(_u6987, _u6989, c_Nitpick_Ouminus__frac(_u6987, _u6991)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u6987, _u6989, _u6991) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_New__Random__Sequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_New__Random__Sequence_Opos__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Opos__decr__bind(_u6992, _u6993, _u6994, _u6995, _u6996, _u6997, _u6998) = c_New__DSequence_Opos__decr__bind(_u6992, _u6993, hAPP(hAPP(hAPP(_u6994, _u6996), _u6997), _u6998), hAPP(hAPP(c_COMBC(_u6992, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6993))), hAPP(hAPP(c_COMBC(_u6992, 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(_u6993)))), hAPP(hAPP(c_COMBC(_u6992, 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(_u6993))))), _u6995), _u6996)), _u6997)), _u6998))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_New__DSequence_Oneg__bind__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_New__DSequence_Oneg__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__bind(_u6999, _u7000, _u7001, _u7002), _u7003) = c_Lazy__Sequence_Ohb__bind(_u6999, _u7000, hAPP(_u7001, _u7003), hAPP(hAPP(c_COMBC(_u6999, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u7000))), _u7002), _u7003))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_New__DSequence_Opos__empty__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_New__DSequence_Opos__empty__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__empty(_u7004), _u7005) = c_Lazy__Sequence_Oempty(_u7004)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_pos__empty__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_pos__empty__def-1, axiom, ( ( c_New__Random__Sequence_Opos__empty(_u7006, _u7007, _u7008, _u7009) = c_New__DSequence_Opos__empty(_u7006)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_neg__bind__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_neg__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u7010, _u7011, _u7012, _u7013), _u7014), _u7015), _u7016) = c_New__DSequence_Oneg__bind(_u7010, _u7011, hAPP(hAPP(hAPP(_u7012, _u7014), _u7015), _u7016), hAPP(hAPP(c_COMBC(_u7010, 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(_u7011)))), hAPP(hAPP(c_COMBC(_u7010, 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(_u7011))))), hAPP(hAPP(c_COMBC(_u7010, 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(_u7011)))))), _u7013), _u7014)), _u7015)), _u7016))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_New__DSequence_Opos__bind__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_New__DSequence_Opos__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__bind(_u7017, _u7018, _u7019, _u7020), _u7021) = c_Lazy__Sequence_Obind(_u7017, _u7018, hAPP(_u7019, _u7021), hAPP(hAPP(c_COMBC(_u7017, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u7018)), _u7020), _u7021))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7022, _u7023), _u7024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7025, tc_fun(_u7026, tc_HOL_Obool))), _u7022), _u7027)) | hBOOL(hAPP(hAPP(_u7027, _u7023), _u7024)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7030, _u7032), _u7033)) | hBOOL(hAPP(hAPP(_u7031, _u7032), _u7033)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7028, tc_fun(_u7029, tc_HOL_Obool))), _u7030), _u7031)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u7034, _u7035)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7036, tc_HOL_Obool)), _u7034), _u7037)) | hBOOL(hAPP(_u7037, _u7035)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u7039, _u7041)) | hBOOL(hAPP(_u7040, _u7041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7038, tc_HOL_Obool)), _u7039), _u7040)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_pos__bind__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_pos__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u7042, _u7043, _u7044, _u7045), _u7046), _u7047), _u7048) = c_New__DSequence_Opos__bind(_u7042, _u7043, hAPP(hAPP(hAPP(_u7044, _u7046), _u7047), _u7048), hAPP(hAPP(c_COMBC(_u7042, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u7043))), hAPP(hAPP(c_COMBC(_u7042, 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(_u7043)))), hAPP(hAPP(c_COMBC(_u7042, 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(_u7043))))), _u7045), _u7046)), _u7047)), _u7048))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_The__split ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_The__split-1, axiom, ( ( c_HOL_OThe(tc_prod(_u7049, _u7050), hAPP(c_Product__Type_Oprod_Oprod__case(_u7049, _u7050, tc_HOL_Obool), _u7051)) = c_HOL_OThe(tc_prod(_u7049, _u7050), hAPP(hAPP(c_COMBS(tc_prod(_u7049, _u7050), _u7050, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u7049, tc_fun(_u7050, tc_HOL_Obool), tc_prod(_u7049, _u7050)), _u7051), c_Product__Type_Ofst(_u7049, _u7050))), c_Product__Type_Osnd(_u7049, _u7050)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Random_Osimps ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Random_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u7056), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u7058, _u7060, _u7056, _u7062) = 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(_u7058)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u7058))) )).
% 27.66/27.88 cnf(fact_Random_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u7057), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u7059, _u7061, _u7057, _u7063) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u7059, 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(_u7059)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u7061, _u7063)), 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(_u7059)))), 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(_u7059)))), 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(_u7059)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u7059, 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(_u7059)))), 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(_u7059)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u7059, _u7061, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u7057), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u7063))), 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(_u7059)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u7059))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u7059)))), 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(_u7059)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u7059, 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(_u7059)))), 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(_u7059)))), 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(_u7059))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u7059)))), 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(_u7059)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u7059)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u7059))))), tc_prod(_u7059, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u7059)), hAPP(hAPP(c_COMBB(_u7059, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u7059)))), tc_prod(_u7059, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u7059)), c_Product__Type_Ofst(_u7059, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_exE__realizer ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_exE__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7066, hAPP(c_Product__Type_Osnd(_u7067, _u7068), _u7069)), hAPP(c_Product__Type_Ofst(_u7067, _u7068), _u7069))) | hBOOL(hAPP(_u7070, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7067, _u7068, _u7072), _u7071), _u7069))) | hBOOL(hAPP(hAPP(_u7066, skolem101(_u7072, _u7071, _u7070, _u7069, _u7068, _u7067, _u7066)), skolem100(_u7072, _u7071, _u7070, _u7069, _u7068, _u7067, _u7066))) )).
% 27.66/27.88 cnf(fact_exE__realizer-2, axiom, ( ~hBOOL(hAPP(hAPP(_u7066, hAPP(c_Product__Type_Osnd(_u7067, _u7068), _u7069)), hAPP(c_Product__Type_Ofst(_u7067, _u7068), _u7069))) | hBOOL(hAPP(_u7070, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7067, _u7068, _u7072), _u7071), _u7069))) | ~hBOOL(hAPP(_u7070, hAPP(hAPP(_u7071, skolem100(_u7072, _u7071, _u7070, _u7069, _u7068, _u7067, _u7066)), skolem101(_u7072, _u7071, _u7070, _u7069, _u7068, _u7067, _u7066)))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_beyond__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_beyond__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7075), _u7077)) | ( c_Quickcheck_Obeyond(_u7075, _u7077) = _u7077) )).
% 27.66/27.88 cnf(fact_beyond__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7076), _u7078)) | ( c_Quickcheck_Obeyond(_u7076, _u7078) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_beyond__zero ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_beyond__zero-1, axiom, ( ( c_Quickcheck_Obeyond(_u7079, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_The__split__eq ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_The__split__eq-1, axiom, ( ( c_HOL_OThe(tc_prod(_u7080, _u7081), hAPP(c_Product__Type_Oprod_Oprod__case(_u7080, _u7081, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u7080, tc_fun(_u7081, tc_HOL_Obool), tc_fun(_u7081, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u7081, tc_HOL_Obool), tc_fun(_u7081, tc_HOL_Obool)), _u7080), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u7081)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7080), c_fconj), hAPP(c_fequal, _u7082)))), hAPP(c_fequal, _u7083)))) = hAPP(hAPP(c_Product__Type_OPair(_u7080, _u7081), _u7082), _u7083)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_split__paired__The ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_split__paired__The-1, axiom, ( ( c_HOL_OThe(tc_prod(_u7084, _u7085), _u7086) = c_HOL_OThe(tc_prod(_u7084, _u7085), hAPP(c_Product__Type_Oprod_Oprod__case(_u7084, _u7085, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u7085, tc_prod(_u7084, _u7085)), tc_fun(_u7085, tc_HOL_Obool), _u7084), hAPP(c_COMBB(tc_prod(_u7084, _u7085), tc_HOL_Obool, _u7085), _u7086)), c_Product__Type_OPair(_u7084, _u7085))))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_divmod__nat__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_divmod__nat__def-1, axiom, ( ( c_Divides_Odivmod__nat(_u7087, _u7088) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u7087, _u7088))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Random__Sequence_Oempty__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Random__Sequence_Oempty__def-1, axiom, ( ( c_Random__Sequence_Oempty(_u7089, _u7090, _u7091) = 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(_u7089)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u7089))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_Random__Sequence_Osingle__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_Random__Sequence_Osingle__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u7092), _u7093), _u7094), _u7095) = 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(_u7092)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u7092), _u7093))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u7096, hAPP(c_fequal, _u7097)) = _u7097) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u7098, hAPP(hAPP(c_COMBC(_u7098, _u7098, tc_HOL_Obool), c_fequal), _u7099)) = _u7099) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_curry__def ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_curry__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u7100, _u7101, _u7102, _u7103), _u7104), _u7105) = hAPP(_u7103, hAPP(hAPP(c_Product__Type_OPair(_u7100, _u7101), _u7104), _u7105))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_curryI ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_curryI-1, axiom, ( ~hBOOL(hAPP(_u7106, hAPP(hAPP(c_Product__Type_OPair(_u7107, _u7108), _u7109), _u7110))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u7107, _u7108, tc_HOL_Obool, _u7106), _u7109), _u7110)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_curryD ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_curryD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u7111, _u7112, tc_HOL_Obool, _u7113), _u7114), _u7115)) | hBOOL(hAPP(_u7113, hAPP(hAPP(c_Product__Type_OPair(_u7111, _u7112), _u7114), _u7115))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_curryE ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_curryE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u7116, _u7117, tc_HOL_Obool, _u7118), _u7119), _u7120)) | hBOOL(hAPP(_u7118, hAPP(hAPP(c_Product__Type_OPair(_u7116, _u7117), _u7119), _u7120))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_curry__conv ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_curry__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u7121, _u7122, _u7123, _u7124), _u7125), _u7126) = hAPP(_u7124, hAPP(hAPP(c_Product__Type_OPair(_u7121, _u7122), _u7125), _u7126))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_split__curry ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_split__curry-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u7127, _u7128, _u7129), c_Product__Type_Ocurry(_u7127, _u7128, _u7129, _u7130)) = _u7130) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_curry__split ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_curry__split-1, axiom, ( ( c_Product__Type_Ocurry(_u7131, _u7132, _u7133, hAPP(c_Product__Type_Oprod_Oprod__case(_u7131, _u7132, _u7133), _u7134)) = _u7134) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_power__dvd__imp__le ( axiom ) converted to clauses:
% 27.66/27.88 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), _u7135), _u7136)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u7135), _u7137))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u7135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7136), _u7137)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_dvd__mult__cancel2 ( axiom ) converted to clauses:
% 27.66/27.88 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)), _u7138)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7139), _u7138)), _u7138)) | ( _u7139 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.66/27.88 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)), _u7138)) | ( _u7139 != 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), _u7139), _u7138)), _u7138)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_dvd__mult__cancel1 ( axiom ) converted to clauses:
% 27.66/27.88 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)), _u7140)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7140), _u7141)), _u7140)) | ( _u7141 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.66/27.88 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)), _u7140)) | ( _u7141 != 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), _u7140), _u7141)), _u7140)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_zdvd__mult__cancel1 ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_zdvd__mult__cancel1-1, axiom, ( ( _u7142 = 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), _u7142), _u7143)), _u7142)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7143) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.66/27.88 cnf(fact_zdvd__mult__cancel1-2, axiom, ( ( _u7142 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7143) != 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), _u7142), _u7143)), _u7142)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_arith__series__int ( axiom ) converted to clauses:
% 27.66/27.88 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), _u7144)), 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))), _u7145))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7146))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7146)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7144), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7144), 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), _u7146), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u7145))))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_dvd_Oorder__refl ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_dvd_Oorder__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7147), _u7147)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_dvd__0__right ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_dvd__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7148) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7148), _u7149), c_Groups_Ozero__class_Ozero(_u7148))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_dvd__1__left ( axiom ) converted to clauses:
% 27.66/27.88 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))), _u7150)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_setsum__abs ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7151) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7151), hAPP(c_Groups_Oabs__class_Oabs(_u7151), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7152, _u7151), _u7153), _u7154))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7152, _u7151), hAPP(hAPP(c_COMBB(_u7151, _u7151, _u7152), c_Groups_Oabs__class_Oabs(_u7151)), _u7153)), _u7154))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_setsum__abs__ge__zero ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_setsum__abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7155), c_Groups_Ozero__class_Ozero(_u7155)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7156, _u7155), hAPP(hAPP(c_COMBB(_u7155, _u7155, _u7156), c_Groups_Oabs__class_Oabs(_u7155)), _u7157)), _u7158))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_div__dvd__div ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_div__dvd__div-1, axiom, ( ~class_Divides_Osemiring__div(_u7159) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), _u7160), _u7161)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), _u7160), _u7162)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7159), _u7161), _u7160)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7159), _u7162), _u7160))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), _u7161), _u7162)) )).
% 27.66/27.88 cnf(fact_div__dvd__div-2, axiom, ( ~class_Divides_Osemiring__div(_u7159) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), _u7160), _u7161)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), _u7160), _u7162)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), _u7161), _u7162)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7159), _u7161), _u7160)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7159), _u7162), _u7160))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_dvd__0__left ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_dvd__0__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7163) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7163), c_Groups_Ozero__class_Ozero(_u7163)), _u7164)) | ( _u7164 = c_Groups_Ozero__class_Ozero(_u7163)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_dvd__add ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_dvd__add-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7165) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7165), _u7166), _u7167)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7165), _u7166), _u7168)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7165), _u7166), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7165), _u7167), _u7168))) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_one__dvd ( axiom ) converted to clauses:
% 27.66/27.88 cnf(fact_one__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7169) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7169), c_Groups_Oone__class_Oone(_u7169)), _u7170)) )).
% 27.66/27.88
% 27.66/27.88 % Formula: fact_dvd_Oless__asym ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oless__asym, axiom, $true).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oless__trans ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oless__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7173), _u7174)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7174), _u7173)) | ~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)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7173), _u7175)) )).
% 27.68/27.88 cnf(fact_dvd_Oless__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7173), _u7174)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7174), _u7173)) | ~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)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7175), _u7173)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oless__asym_H ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oless__asym_H, axiom, $true).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oless__le__trans ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oless__le__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)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7179), _u7180)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7178), _u7180)) )).
% 27.68/27.88 cnf(fact_dvd_Oless__le__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)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7179), _u7180)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7180), _u7178)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oord__less__eq__trans ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oord__less__eq__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)) | ( _u7182 != _u7183) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7181), _u7183)) )).
% 27.68/27.88 cnf(fact_dvd_Oord__less__eq__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)) | ( _u7182 != _u7183) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7183), _u7181)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oless__imp__not__eq2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oless__imp__not__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7184), _u7185)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7185), _u7184)) | ( _u7185 != _u7184) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oless__imp__not__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oless__imp__not__eq-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)) | ( _u7186 != _u7187) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oless__imp__not__less ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oless__imp__not__less, axiom, $true).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oless__imp__le ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oless__imp__le, axiom, $true).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oless__not__sym ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oless__not__sym, axiom, $true).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oless__imp__neq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oless__imp__neq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7194), _u7195)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7195), _u7194)) | ( _u7194 != _u7195) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Ole__less__trans ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Ole__less__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7196), _u7197)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7197), _u7198)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7198), _u7197)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7196), _u7198)) )).
% 27.68/27.88 cnf(fact_dvd_Ole__less__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7196), _u7197)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7197), _u7198)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7198), _u7197)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7198), _u7196)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oord__eq__less__trans ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oord__eq__less__trans-1, axiom, ( ( _u7199 != _u7200) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7200), _u7201)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7201), _u7200)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7199), _u7201)) )).
% 27.68/27.88 cnf(fact_dvd_Oord__eq__less__trans-2, axiom, ( ( _u7199 != _u7200) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7200), _u7201)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7201), _u7200)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7201), _u7199)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oorder__trans ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oorder__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7202), _u7203)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7203), _u7204)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7202), _u7204)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oantisym ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oantisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7205), _u7206)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7206), _u7205)) | ( _u7205 = _u7206) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__antisym ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7207), _u7208)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7208), _u7207)) | ( _u7207 = _u7208) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oord__le__eq__trans ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oord__le__eq__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7209), _u7210)) | ( _u7210 != _u7211) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7209), _u7211)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oord__eq__le__trans ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oord__eq__le__trans-1, axiom, ( ( _u7212 != _u7213) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7213), _u7214)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7212), _u7214)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Ole__neq__trans ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Ole__neq__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7215), _u7216)) | ( _u7215 = _u7216) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7216), _u7215)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Ole__imp__less__or__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Ole__imp__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7217), _u7218)) | ( _u7217 = _u7218) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7218), _u7217)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oantisym__conv ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oantisym__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7219), _u7220)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7220), _u7219)) | ( _u7220 = _u7219) )).
% 27.68/27.88 cnf(fact_dvd_Oantisym__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7219), _u7220)) | ( _u7220 != _u7219) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7220), _u7219)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oeq__refl ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oeq__refl-1, axiom, ( ( _u7221 != _u7222) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7221), _u7222)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oneq__le__trans ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oneq__le__trans-1, axiom, ( ( _u7223 = _u7224) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7223), _u7224)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7224), _u7223)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oless__le ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7227), _u7229)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7229), _u7227)) | ( _u7227 != _u7229) )).
% 27.68/27.88 cnf(fact_dvd_Oless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7228), _u7230)) | ( _u7228 = _u7230) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7230), _u7228)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Ole__less ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Ole__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7233), _u7235)) | ( _u7233 = _u7235) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7235), _u7233)) )).
% 27.68/27.88 cnf(fact_dvd_Ole__less-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7234), _u7236)) | ( _u7234 != _u7236) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Oeq__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Oeq__iff-1, axiom, ( ( _u7239 != _u7241) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7239), _u7241)) )).
% 27.68/27.88 cnf(fact_dvd_Oeq__iff-2, axiom, ( ( _u7239 != _u7241) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7241), _u7239)) )).
% 27.68/27.88 cnf(fact_dvd_Oeq__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7240), _u7242)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7242), _u7240)) | ( _u7240 = _u7242) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_lessThan__eq__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_lessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7243) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u7243), _u7244) != hAPP(c_SetInterval_Oord__class_OlessThan(_u7243), _u7245)) | ( _u7244 = _u7245) )).
% 27.68/27.88 cnf(fact_lessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7243) | ( _u7244 != _u7245) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u7243), _u7244) = hAPP(c_SetInterval_Oord__class_OlessThan(_u7243), _u7245)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__trans ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__trans-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7246) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7246), _u7247), _u7248)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7246), _u7248), _u7249)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7246), _u7247), _u7249)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__refl ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__refl-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7250) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7250), _u7251), _u7251)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__power__same ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__power__same-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7252) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7252), _u7253), _u7254)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7252), hAPP(hAPP(c_Power_Opower__class_Opower(_u7252), _u7253), _u7255)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7252), _u7254), _u7255))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__mod__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__mod__iff-1, axiom, ( ~class_Divides_Osemiring__div(_u7256) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7256), _u7257), _u7258)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7256), _u7257), c_Divides_Odiv__class_Omod(_u7256, _u7259, _u7258))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7256), _u7257), _u7259)) )).
% 27.68/27.88 cnf(fact_dvd__mod__iff-2, axiom, ( ~class_Divides_Osemiring__div(_u7256) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7256), _u7257), _u7258)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7256), _u7257), _u7259)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7256), _u7257), c_Divides_Odiv__class_Omod(_u7256, _u7259, _u7258))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_mod__mod__cancel ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_mod__mod__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u7260) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7260), _u7261), _u7262)) | ( c_Divides_Odiv__class_Omod(_u7260, c_Divides_Odiv__class_Omod(_u7260, _u7263, _u7262), _u7261) = c_Divides_Odiv__class_Omod(_u7260, _u7263, _u7261)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__mod ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__mod-1, axiom, ( ~class_Divides_Osemiring__div(_u7264) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7264), _u7265), _u7266)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7264), _u7265), _u7267)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7264), _u7265), c_Divides_Odiv__class_Omod(_u7264, _u7266, _u7267))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__mod__imp__dvd ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__mod__imp__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u7268) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7268), _u7269), c_Divides_Odiv__class_Omod(_u7268, _u7270, _u7271))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7268), _u7269), _u7271)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7268), _u7269), _u7270)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__int ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_zdvd__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7274), _u7276)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7274)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7276))) )).
% 27.68/27.88 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), _u7275)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7277))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7275), _u7277)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__int__nat__relations_I4_J ( axiom ) converted to clauses:
% 27.68/27.88 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), _u7280)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7282))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7280), _u7282)) )).
% 27.68/27.88 cnf(fact_transfer__int__nat__relations_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7281), _u7283)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7281)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7283))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__mult__right ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__mult__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7284) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7284), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7284), _u7285), _u7286)), _u7287)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7284), _u7286), _u7287)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__mult__left ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__mult__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7288) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7288), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7288), _u7289), _u7290)), _u7291)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7288), _u7289), _u7291)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvdI ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvdI-1, axiom, ( ~class_Rings_Odvd(_u7292) | ( _u7293 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7292), _u7294), _u7295)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7292), _u7294), _u7293)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_mult__dvd__mono ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_mult__dvd__mono-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7296) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7296), _u7297), _u7298)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7296), _u7299), _u7300)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7296), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7296), _u7297), _u7299)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7296), _u7298), _u7300))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__mult ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7301) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7301), _u7302), _u7303)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7301), _u7302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7301), _u7304), _u7303))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__mult2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__mult2-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7305) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7305), _u7306), _u7307)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7305), _u7306), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7305), _u7307), _u7308))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__triv__right ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__triv__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7309) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7309), _u7310), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7309), _u7311), _u7310))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__triv__left ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__triv__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7312) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7312), _u7313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7312), _u7313), _u7314))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__abs__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__abs__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7315) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7315), _u7316), hAPP(c_Groups_Oabs__class_Oabs(_u7315), _u7317))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7315), _u7316), _u7317)) )).
% 27.68/27.88 cnf(fact_dvd__abs__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7315) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7315), _u7316), _u7317)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7315), _u7316), hAPP(c_Groups_Oabs__class_Oabs(_u7315), _u7317))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_abs__dvd__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_abs__dvd__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7318) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7318), hAPP(c_Groups_Oabs__class_Oabs(_u7318), _u7319)), _u7320)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7318), _u7319), _u7320)) )).
% 27.68/27.88 cnf(fact_abs__dvd__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7318) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7318), _u7319), _u7320)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7318), hAPP(c_Groups_Oabs__class_Oabs(_u7318), _u7319)), _u7320)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__if__abs__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__if__abs__eq-1, axiom, ( ~class_Rings_Olinordered__idom(_u7321) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7321), _u7322) != hAPP(c_Groups_Oabs__class_Oabs(_u7321), _u7323)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7321), _u7322), _u7323)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__diff__nat ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__diff__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7324), _u7325)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7324), _u7326)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7324), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7325), _u7326))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__zmod ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_zdvd__zmod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7327), _u7328)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7327), _u7329)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7327), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7328, _u7329))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__zmod__imp__zdvd ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_zdvd__zmod__imp__zdvd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7330), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7331, _u7332))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7330), _u7332)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7330), _u7331)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_uminus__dvd__conv_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_uminus__dvd__conv_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7335), _u7337)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7335)), _u7337)) )).
% 27.68/27.88 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), _u7336)), _u7338)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7336), _u7338)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_uminus__dvd__conv_I2_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_uminus__dvd__conv_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7341), _u7343)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7341), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7343))) )).
% 27.68/27.88 cnf(fact_uminus__dvd__conv_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7342), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7344))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7342), _u7344)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__zdiffD ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_zdvd__zdiffD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7345), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7346), _u7347))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7345), _u7347)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7345), _u7346)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__reduce ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__reduce-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7350), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7352), _u7350))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7350), _u7352)) )).
% 27.68/27.88 cnf(fact_dvd__reduce-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7351), _u7353)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7351), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7353), _u7351))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_of__nat__setsum ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_of__nat__setsum-1, axiom, ( ~class_Rings_Osemiring__1(_u7354) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7354), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7355, tc_Nat_Onat), _u7356), _u7357)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7355, _u7354), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7354, _u7355), c_Nat_Osemiring__1__class_Oof__nat(_u7354)), _u7356)), _u7357)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__diff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__diff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u7358) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7358), _u7359), _u7360)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7358), _u7359), _u7361)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7358), _u7359), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7358), _u7360), _u7361))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_minus__dvd__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_minus__dvd__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u7362) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7362), hAPP(c_Groups_Ouminus__class_Ouminus(_u7362), _u7363)), _u7364)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7362), _u7363), _u7364)) )).
% 27.68/27.88 cnf(fact_minus__dvd__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u7362) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7362), _u7363), _u7364)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7362), hAPP(c_Groups_Ouminus__class_Ouminus(_u7362), _u7363)), _u7364)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__minus__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__minus__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u7365) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7365), _u7366), hAPP(c_Groups_Ouminus__class_Ouminus(_u7365), _u7367))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7365), _u7366), _u7367)) )).
% 27.68/27.88 cnf(fact_dvd__minus__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u7365) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7365), _u7366), _u7367)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7365), _u7366), hAPP(c_Groups_Ouminus__class_Ouminus(_u7365), _u7367))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__lessThan__Suc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__lessThan__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7368) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7368), _u7369), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7370))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7368), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7368), _u7369), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7370))), hAPP(_u7369, _u7370))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_of__int__setsum ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_of__int__setsum-1, axiom, ( ~class_Rings_Oring__1(_u7371) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7371), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7372, tc_Int_Oint), _u7373), _u7374)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7372, _u7371), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7371, _u7372), c_Int_Oring__1__class_Oof__int(_u7371)), _u7373)), _u7374)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_nat__dvd__1__iff__1 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_nat__dvd__1__iff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7376), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( _u7376 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.88 cnf(fact_nat__dvd__1__iff__1-2, axiom, ( ( _u7377 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7377), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__commute ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__commute-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7378) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7379, _u7378), hAPP(hAPP(c_COMBC(_u7379, tc_fun(_u7380, tc_HOL_Obool), _u7378), hAPP(hAPP(c_COMBB(tc_fun(_u7380, _u7378), tc_fun(tc_fun(_u7380, tc_HOL_Obool), _u7378), _u7379), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7380, _u7378)), _u7381)), _u7382)), _u7383) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7380, _u7378), hAPP(hAPP(c_COMBC(_u7380, tc_fun(_u7379, tc_HOL_Obool), _u7378), hAPP(hAPP(c_COMBB(tc_fun(_u7379, _u7378), tc_fun(tc_fun(_u7379, tc_HOL_Obool), _u7378), _u7380), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7379, _u7378)), hAPP(c_COMBC(_u7379, _u7380, _u7378), _u7381))), _u7383)), _u7382)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__antisym__abs ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_zdvd__antisym__abs-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7384), _u7385)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7385), _u7384)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7384) = hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7385)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__0 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7386) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7387, _u7386), hAPP(c_COMBK(_u7386, _u7387), c_Groups_Ozero__class_Ozero(_u7386))), _u7388) = c_Groups_Ozero__class_Ozero(_u7386)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__addf ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7389) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7390, _u7389), hAPP(hAPP(c_COMBS(_u7390, _u7389, _u7389), hAPP(hAPP(c_COMBB(_u7389, tc_fun(_u7389, _u7389), _u7390), c_Groups_Oplus__class_Oplus(_u7389)), _u7391)), _u7392)), _u7393) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7389), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7390, _u7389), _u7391), _u7393)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7390, _u7389), _u7392), _u7393))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__product ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__product-1, axiom, ( ~class_Rings_Osemiring__0(_u7394) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7394), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7395, _u7394), _u7396), _u7397)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7398, _u7394), _u7399), _u7400)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7395, _u7394), hAPP(hAPP(c_COMBC(_u7395, tc_fun(_u7398, tc_HOL_Obool), _u7394), hAPP(hAPP(c_COMBB(tc_fun(_u7398, _u7394), tc_fun(tc_fun(_u7398, tc_HOL_Obool), _u7394), _u7395), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7398, _u7394)), hAPP(hAPP(c_COMBC(_u7395, tc_fun(_u7398, _u7394), tc_fun(_u7398, _u7394)), hAPP(hAPP(c_COMBB(tc_fun(_u7394, _u7394), tc_fun(tc_fun(_u7398, _u7394), tc_fun(_u7398, _u7394)), _u7395), c_COMBB(_u7394, _u7394, _u7398)), hAPP(hAPP(c_COMBB(_u7394, tc_fun(_u7394, _u7394), _u7395), c_Groups_Otimes__class_Otimes(_u7394)), _u7396))), _u7399))), _u7400)), _u7397)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__left__distrib ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__left__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u7401) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7401), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7402, _u7401), _u7403), _u7404)), _u7405) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7402, _u7401), hAPP(hAPP(c_COMBC(_u7402, _u7401, _u7401), hAPP(hAPP(c_COMBB(_u7401, tc_fun(_u7401, _u7401), _u7402), c_Groups_Otimes__class_Otimes(_u7401)), _u7403)), _u7405)), _u7404)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__right__distrib ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__right__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u7406) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7406), _u7407), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7408, _u7406), _u7409), _u7410)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7408, _u7406), hAPP(hAPP(c_COMBB(_u7406, _u7406, _u7408), hAPP(c_Groups_Otimes__class_Otimes(_u7406), _u7407)), _u7409)), _u7410)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__subtractf ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u7411) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7412, _u7411), hAPP(hAPP(c_COMBS(_u7412, _u7411, _u7411), hAPP(hAPP(c_COMBB(_u7411, tc_fun(_u7411, _u7411), _u7412), c_Groups_Ominus__class_Ominus(_u7411)), _u7413)), _u7414)), _u7415) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7411), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7412, _u7411), _u7413), _u7415)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7412, _u7411), _u7414), _u7415))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__negf ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__negf-1, axiom, ( ~class_Groups_Oab__group__add(_u7416) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7417, _u7416), hAPP(hAPP(c_COMBB(_u7416, _u7416, _u7417), c_Groups_Ouminus__class_Ouminus(_u7416)), _u7418)), _u7419) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7416), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7417, _u7416), _u7418), _u7419))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__divide__distrib ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__divide__distrib-1, axiom, ( ~class_Fields_Ofield(_u7420) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7420), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7421, _u7420), _u7422), _u7423)), _u7424) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7421, _u7420), hAPP(hAPP(c_COMBC(_u7421, _u7420, _u7420), hAPP(hAPP(c_COMBB(_u7420, tc_fun(_u7420, _u7420), _u7421), c_Rings_Oinverse__class_Odivide(_u7420)), _u7422)), _u7424)), _u7423)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_abs__setsum__abs ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_abs__setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7425) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7425), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7426, _u7425), hAPP(hAPP(c_COMBB(_u7425, _u7425, _u7426), c_Groups_Oabs__class_Oabs(_u7425)), _u7427)), _u7428)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7426, _u7425), hAPP(hAPP(c_COMBB(_u7425, _u7425, _u7426), c_Groups_Oabs__class_Oabs(_u7425)), _u7427)), _u7428)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__nat__int__relations_I4_J ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7430)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7429)), hAPP(c_Int_Onat, _u7430))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7429), _u7430)) )).
% 27.68/27.88 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)), _u7429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7430)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7429), _u7430)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7429)), hAPP(c_Int_Onat, _u7430))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__int__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7433), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7435))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7433))), _u7435)) )).
% 27.68/27.88 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), _u7434))), _u7436)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7434), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7436))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_int__dvd__iff ( axiom ) converted to clauses:
% 27.68/27.88 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), _u7439)), _u7441)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7439), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7441)))) )).
% 27.68/27.88 cnf(fact_int__dvd__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7440), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7442)))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7440)), _u7442)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_lessThan__subset__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_lessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7443, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7443), _u7444)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7443), _u7445))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7443), _u7444), _u7445)) )).
% 27.68/27.88 cnf(fact_lessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7443), _u7444), _u7445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7443, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7443), _u7444)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7443), _u7445))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__mult__cancel__left ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__mult__cancel__left-1, axiom, ( ~class_Rings_Oidom(_u7446) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7446), _u7447), _u7448)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7446), _u7447), _u7449))) | ( _u7447 = c_Groups_Ozero__class_Ozero(_u7446)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7446), _u7448), _u7449)) )).
% 27.68/27.88 cnf(fact_dvd__mult__cancel__left-2, axiom, ( ~class_Rings_Oidom(_u7446) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7446), _u7447), _u7448)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7446), _u7447), _u7449))) | ( _u7447 != c_Groups_Ozero__class_Ozero(_u7446)) )).
% 27.68/27.88 cnf(fact_dvd__mult__cancel__left-3, axiom, ( ~class_Rings_Oidom(_u7446) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7446), _u7447), _u7448)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7446), _u7447), _u7449))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7446), _u7448), _u7449)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__mult__cancel__right ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__mult__cancel__right-1, axiom, ( ~class_Rings_Oidom(_u7450) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7451), _u7452)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7453), _u7452))) | ( _u7452 = c_Groups_Ozero__class_Ozero(_u7450)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7450), _u7451), _u7453)) )).
% 27.68/27.88 cnf(fact_dvd__mult__cancel__right-2, axiom, ( ~class_Rings_Oidom(_u7450) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7451), _u7452)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7453), _u7452))) | ( _u7452 != c_Groups_Ozero__class_Ozero(_u7450)) )).
% 27.68/27.88 cnf(fact_dvd__mult__cancel__right-3, axiom, ( ~class_Rings_Oidom(_u7450) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7451), _u7452)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7453), _u7452))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7450), _u7451), _u7453)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__imp__mod__0 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__imp__mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7454) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7454), _u7455), _u7456)) | ( c_Divides_Odiv__class_Omod(_u7454, _u7456, _u7455) = c_Groups_Ozero__class_Ozero(_u7454)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__eq__mod__eq__0 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__eq__mod__eq__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7457) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7457), _u7458), _u7459)) | ( c_Divides_Odiv__class_Omod(_u7457, _u7459, _u7458) = c_Groups_Ozero__class_Ozero(_u7457)) )).
% 27.68/27.88 cnf(fact_dvd__eq__mod__eq__0-2, axiom, ( ~class_Divides_Osemiring__div(_u7457) | ( c_Divides_Odiv__class_Omod(_u7457, _u7459, _u7458) != c_Groups_Ozero__class_Ozero(_u7457)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7457), _u7458), _u7459)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_lessThan__strict__subset__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_lessThan__strict__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7460, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7460), _u7461)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7460), _u7462))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7460), _u7461), _u7462)) )).
% 27.68/27.88 cnf(fact_lessThan__strict__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7460), _u7461), _u7462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7460, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7460), _u7461)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7460), _u7462))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_div__add ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_div__add-1, axiom, ( ~class_Divides_Osemiring__div(_u7463) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7463), _u7464), _u7465)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7463), _u7464), _u7466)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7463), _u7465), _u7466)), _u7464) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7463), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7463), _u7465), _u7464)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7463), _u7466), _u7464))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_div__mult__div__if__dvd ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_div__mult__div__if__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u7467) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7467), _u7468), _u7469)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7467), _u7470), _u7471)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7467), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7467), _u7469), _u7468)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7467), _u7471), _u7470)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7467), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7467), _u7469), _u7471)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7467), _u7468), _u7470))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__div__mult ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__div__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u7472) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7472), _u7473), _u7474)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7472), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7472), _u7474), _u7473)), _u7475) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7472), _u7474), _u7475)), _u7473)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__div__mult__self ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__div__mult__self-1, axiom, ( ~class_Divides_Osemiring__div(_u7476) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7476), _u7477), _u7478)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7476), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7476), _u7478), _u7477)), _u7477) = _u7478) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_div__mult__swap ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_div__mult__swap-1, axiom, ( ~class_Divides_Osemiring__div(_u7479) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7479), _u7480), _u7481)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7479), _u7482), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7479), _u7481), _u7480)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7479), _u7482), _u7481)), _u7480)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__mult__div__cancel ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__mult__div__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u7483) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7483), _u7484), _u7485)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7483), _u7484), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7483), _u7485), _u7484)) = _u7485) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__neg__div ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__neg__div-1, axiom, ( ~class_Divides_Oring__div(_u7486) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7486), _u7487), _u7488)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7486), hAPP(c_Groups_Ouminus__class_Ouminus(_u7486), _u7488)), _u7487) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7486), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7486), _u7488), _u7487))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__div__neg ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__div__neg-1, axiom, ( ~class_Divides_Oring__div(_u7489) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7489), _u7490), _u7491)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7489), _u7491), hAPP(c_Groups_Ouminus__class_Ouminus(_u7489), _u7490)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7489), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7489), _u7491), _u7490))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_le__imp__power__dvd ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_le__imp__power__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7492) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7493), _u7494)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7492), hAPP(hAPP(c_Power_Opower__class_Opower(_u7492), _u7495), _u7493)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7492), _u7495), _u7494))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__power__le ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__power__le-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7496) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7496), _u7497), _u7498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7499), _u7500)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7496), hAPP(hAPP(c_Power_Opower__class_Opower(_u7496), _u7497), _u7499)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7496), _u7498), _u7500))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_power__le__dvd ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_power__le__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7501) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7501), hAPP(hAPP(c_Power_Opower__class_Opower(_u7501), _u7502), _u7503)), _u7504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7505), _u7503)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7501), hAPP(hAPP(c_Power_Opower__class_Opower(_u7501), _u7502), _u7505)), _u7504)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_div__power ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_div__power-1, axiom, ( ~class_Divides_Osemiring__div(_u7506) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7506), _u7507), _u7508)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7506), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7506), _u7508), _u7507)), _u7509) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7506), hAPP(hAPP(c_Power_Opower__class_Opower(_u7506), _u7508), _u7509)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7506), _u7507), _u7509))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__antisym__nonneg ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7511)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7510), _u7511)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7511), _u7510)) | ( _u7510 = _u7511) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__not__zless ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7512)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7512), _u7513)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7513), _u7512)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__mono ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_zdvd__mono-1, axiom, ( ( _u7514 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7515), _u7516)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7514), _u7515)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7514), _u7516))) )).
% 27.68/27.88 cnf(fact_zdvd__mono-2, axiom, ( ( _u7514 = 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), _u7514), _u7515)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7514), _u7516))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7515), _u7516)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__mult__cancel ( axiom ) converted to clauses:
% 27.68/27.88 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), _u7517), _u7518)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7517), _u7519))) | ( _u7517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7518), _u7519)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__period ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_zdvd__period-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7520), _u7521)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7522), _u7523))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7522), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7524), _u7521))), _u7523))) )).
% 27.68/27.88 cnf(fact_zdvd__period-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7520), _u7521)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7522), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7524), _u7521))), _u7523))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7522), _u7523))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__reduce ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_zdvd__reduce-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7528), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7530), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7528), _u7532)))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7528), _u7530)) )).
% 27.68/27.88 cnf(fact_zdvd__reduce-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7529), _u7531)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7529), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7531), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7529), _u7533)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__1__iff__1 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__1__iff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7535), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u7535 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.88 cnf(fact_dvd__1__iff__1-2, axiom, ( ( _u7536 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7536), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_nat__dvd__not__less ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7537), _u7538)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7538), _u7537)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_nat__mult__dvd__cancel__disj ( axiom ) converted to clauses:
% 27.68/27.88 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), _u7542), _u7544)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7542), _u7546))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7544), _u7546)) )).
% 27.68/27.88 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), _u7543), _u7545)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7543), _u7547))) | ( _u7543 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.88 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), _u7543), _u7545)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7543), _u7547))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7545), _u7547)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__mult__div__cancel ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_zdvd__mult__div__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7548), _u7549)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7548), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7549), _u7548)) = _u7549) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zmod__eq__dvd__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_zmod__eq__dvd__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7553, _u7555) != c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7557, _u7555)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7555), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7553), _u7557))) )).
% 27.68/27.88 cnf(fact_zmod__eq__dvd__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7556), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7554), _u7558))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7554, _u7556) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7558, _u7556)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__diffD ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__diffD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7559), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7560), _u7561))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7559), _u7561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7561), _u7560)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7559), _u7560)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__diffD1 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__diffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7562), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7563), _u7564))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7562), _u7563)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7564), _u7563)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7562), _u7564)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd1__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_zdvd1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7566), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7566) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.88 cnf(fact_zdvd1__eq-2, axiom, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7567) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7567), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_abs__div ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_abs__div-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7568), _u7569)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7569), _u7568)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7569)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7568))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_nat__dvd__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_nat__dvd__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7572)), _u7574)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7572)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7572), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7574))) )).
% 27.68/27.88 cnf(fact_nat__dvd__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7572)), _u7574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7572)) | ( _u7574 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.88 cnf(fact_nat__dvd__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7573)), _u7575)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7573)) | ( _u7575 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.88 cnf(fact_nat__dvd__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7573)), _u7575)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7573), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7573)) )).
% 27.68/27.88 cnf(fact_nat__dvd__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7573)), _u7575)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7573), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7575))) | ( _u7575 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_arith__series__general ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_arith__series__general-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7576) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7576), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7576), c_Groups_Oone__class_Oone(_u7576)), c_Groups_Oone__class_Oone(_u7576))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7576), hAPP(hAPP(c_COMBB(_u7576, _u7576, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u7576), _u7577)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u7576, _u7576), hAPP(hAPP(c_COMBB(_u7576, tc_fun(_u7576, _u7576), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u7576)), c_Nat_Osemiring__1__class_Oof__nat(_u7576))), _u7578))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7579))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7576), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7576), _u7579)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7576), _u7577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7576), _u7577), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7576), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7576), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7579), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u7578))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_unity__coeff__ex ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_unity__coeff__ex-1, axiom, ( ~class_Rings_Odvd(_u7584) | ~class_Rings_Osemiring__0(_u7584) | ~hBOOL(hAPP(_u7585, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7584), _u7586), _u7580))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7584), _u7586), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7584), skolem102(_u7586, _u7585, _u7584)), c_Groups_Ozero__class_Ozero(_u7584)))) )).
% 27.68/27.88 cnf(fact_unity__coeff__ex-2, axiom, ( ~class_Rings_Odvd(_u7584) | ~class_Rings_Osemiring__0(_u7584) | ~hBOOL(hAPP(_u7585, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7584), _u7586), _u7580))) | hBOOL(hAPP(_u7585, skolem102(_u7586, _u7585, _u7584))) )).
% 27.68/27.88 cnf(fact_unity__coeff__ex-3, axiom, ( ~class_Rings_Odvd(_u7584) | ~class_Rings_Osemiring__0(_u7584) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7584), _u7586), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7584), _u7582), c_Groups_Ozero__class_Ozero(_u7584)))) | ~hBOOL(hAPP(_u7585, _u7582)) | hBOOL(hAPP(_u7585, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7584), _u7586), skolem103(_u7586, _u7585, _u7584)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_inf__period_I4_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_inf__period_I4_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u7589) | ~class_Rings_Odvd(_u7589) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7589), _u7590), _u7591)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7589), _u7590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7589), _u7595), _u7592))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7589), _u7590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7589), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7589), _u7595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7589), _u7593), _u7591))), _u7592))) )).
% 27.68/27.88 cnf(fact_inf__period_I4_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u7589) | ~class_Rings_Odvd(_u7589) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7589), _u7590), _u7591)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7589), _u7590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7589), _u7596), _u7592))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7589), _u7590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7589), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7589), _u7596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7589), _u7594), _u7591))), _u7592))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_inf__period_I3_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_inf__period_I3_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u7599) | ~class_Rings_Odvd(_u7599) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7599), _u7600), _u7601)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7599), _u7600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7599), _u7605), _u7602))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7599), _u7600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7599), _u7605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7599), _u7603), _u7601))), _u7602))) )).
% 27.68/27.88 cnf(fact_inf__period_I3_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u7599) | ~class_Rings_Odvd(_u7599) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7599), _u7600), _u7601)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7599), _u7600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7599), _u7606), _u7602))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7599), _u7600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7599), _u7606), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7599), _u7604), _u7601))), _u7602))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__eq__mod__eq__0__number__of ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__eq__mod__eq__0__number__of-1, axiom, ( ~class_Divides_Osemiring__div(_u7607) | ~class_Int_Onumber(_u7607) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7607), hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7608)), hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7609))) | ( c_Divides_Odiv__class_Omod(_u7607, hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7609), hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7608)) = c_Groups_Ozero__class_Ozero(_u7607)) )).
% 27.68/27.88 cnf(fact_dvd__eq__mod__eq__0__number__of-2, axiom, ( ~class_Divides_Osemiring__div(_u7607) | ~class_Int_Onumber(_u7607) | ( c_Divides_Odiv__class_Omod(_u7607, hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7609), hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7608)) != c_Groups_Ozero__class_Ozero(_u7607)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7607), hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7608)), hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7609))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__div__div__eq__mult ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__div__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u7610) | ( _u7611 = c_Groups_Ozero__class_Ozero(_u7610)) | ( _u7612 = c_Groups_Ozero__class_Ozero(_u7610)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7610), _u7611), _u7613)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7610), _u7612), _u7614)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7610), _u7613), _u7611) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7610), _u7614), _u7612)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7610), _u7613), _u7612) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7610), _u7611), _u7614)) )).
% 27.68/27.88 cnf(fact_dvd__div__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u7610) | ( _u7611 = c_Groups_Ozero__class_Ozero(_u7610)) | ( _u7612 = c_Groups_Ozero__class_Ozero(_u7610)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7610), _u7611), _u7613)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7610), _u7612), _u7614)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7610), _u7613), _u7612) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7610), _u7611), _u7614)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7610), _u7613), _u7611) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7610), _u7614), _u7612)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__div__eq__mult ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u7615) | ( _u7616 = c_Groups_Ozero__class_Ozero(_u7615)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7615), _u7616), _u7617)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7615), _u7617), _u7616) != _u7618) | ( _u7617 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7615), _u7618), _u7616)) )).
% 27.68/27.88 cnf(fact_dvd__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u7615) | ( _u7616 = c_Groups_Ozero__class_Ozero(_u7615)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7615), _u7616), _u7617)) | ( _u7617 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7615), _u7618), _u7616)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7615), _u7617), _u7616) = _u7618) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__imp__le ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_zdvd__imp__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7619), _u7620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7619), _u7620)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_zdvd__iff__zmod__eq__0__number__of ( axiom ) converted to clauses:
% 27.68/27.88 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), _u7623)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7625))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7625), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7623)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.88 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), _u7626), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7624)) != 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), _u7624)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7626))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__imp__le ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__imp__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7627), _u7628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7628)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7627), _u7628)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__mult__cancel ( axiom ) converted to clauses:
% 27.68/27.88 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), _u7629), _u7630)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7629), _u7631))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7629)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7630), _u7631)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_nat__mult__dvd__cancel1 ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7632)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7632), _u7633)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7632), _u7634))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7633), _u7634)) )).
% 27.68/27.88 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)), _u7632)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7633), _u7634)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7632), _u7633)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7632), _u7634))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__imp__le__int ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__imp__le__int-1, axiom, ( ( _u7635 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7636), _u7635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7636)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7635))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd__power ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd__power-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7637) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7637), _u7639), hAPP(hAPP(c_Power_Opower__class_Opower(_u7637), _u7639), _u7638))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7638)) )).
% 27.68/27.88 cnf(fact_dvd__power-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7637) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7637), _u7639), hAPP(hAPP(c_Power_Opower__class_Opower(_u7637), _u7639), _u7638))) | ( _u7639 != c_Groups_Oone__class_Oone(_u7637)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Ostrict__monoD ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Ostrict__monoD-1, axiom, ( ~class_Orderings_Oorder(_u7640) | ~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7640, 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)))), _u7641) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7642), _u7643)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7643), _u7642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7640), hAPP(_u7641, _u7642)), hAPP(_u7641, _u7643))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_arith__series__nat ( axiom ) converted to clauses:
% 27.68/27.88 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), _u7644)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u7645))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7646))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7646), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7646), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7645))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_OmonoD ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_OmonoD-1, axiom, ( ~class_Orderings_Oorder(_u7647) | ~c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7647, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7648) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7649), _u7650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7647), hAPP(_u7648, _u7649)), hAPP(_u7648, _u7650))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__natinterval__difff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__natinterval__difff-1, axiom, ( ~class_Groups_Oab__group__add(_u7651) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7652), _u7653)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7651), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u7651, _u7651), hAPP(hAPP(c_COMBB(_u7651, tc_fun(_u7651, _u7651), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u7651)), _u7654)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7651, tc_Nat_Onat), _u7654), 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, _u7652, _u7653)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7651), hAPP(_u7654, _u7652)), hAPP(_u7654, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7653), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 27.68/27.88 cnf(fact_setsum__natinterval__difff-2, axiom, ( ~class_Groups_Oab__group__add(_u7651) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7652), _u7653)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7651), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u7651, _u7651), hAPP(hAPP(c_COMBB(_u7651, tc_fun(_u7651, _u7651), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u7651)), _u7654)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7651, tc_Nat_Onat), _u7654), 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, _u7652, _u7653)) = c_Groups_Ozero__class_Ozero(_u7651)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_gauss__sum ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_gauss__sum-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7655) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7655), c_Groups_Oone__class_Oone(_u7655)), c_Groups_Oone__class_Oone(_u7655))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7655), c_Nat_Osemiring__1__class_Oof__nat(_u7655)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u7656))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7655), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7655), _u7656)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7655), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7655), _u7656)), c_Groups_Oone__class_Oone(_u7655)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__shift__lb__Suc0__0 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__shift__lb__Suc0__0-1, axiom, ( ( hAPP(_u7657, 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), _u7657), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7658)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u7657), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7658))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Ostrict__mono__mono ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Ostrict__mono__mono-1, axiom, ( ~class_Orderings_Oorder(_u7659) | ~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7659, 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)))), _u7660) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7659, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7660) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastatMost__subset__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastatMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u7661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7661, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7662, _u7663)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7664, _u7665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7662), _u7663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7664), _u7662)) )).
% 27.68/27.88 cnf(fact_atLeastatMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u7661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7661, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7662, _u7663)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7664, _u7665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7662), _u7663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7663), _u7665)) )).
% 27.68/27.88 cnf(fact_atLeastatMost__subset__iff-3, axiom, ( ~class_Orderings_Oorder(_u7661) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7661, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7662, _u7663)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7664, _u7665))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7662), _u7663)) )).
% 27.68/27.88 cnf(fact_atLeastatMost__subset__iff-4, axiom, ( ~class_Orderings_Oorder(_u7661) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7661, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7662, _u7663)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7664, _u7665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7664), _u7662)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7663), _u7665)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__shift__bounds__cl__Suc__ivl ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__shift__bounds__cl__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7666) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7666), _u7667), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7668), hAPP(c_Nat_OSuc, _u7669))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7666), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7666, tc_Nat_Onat), _u7667), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7668, _u7669))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__shift__bounds__cl__nat__ivl ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__shift__bounds__cl__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7670) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7670), _u7671), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7672), _u7673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7674), _u7673))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7670), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7670, tc_Nat_Onat), _u7671), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u7673))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7672, _u7674))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_int__setsum ( axiom ) converted to clauses:
% 27.68/27.88 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(_u7675, tc_Nat_Onat), _u7676), _u7677)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7675, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7675), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7676)), _u7677)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__nat__int__sum__prod2_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_transfer__nat__int__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7678, tc_Nat_Onat), _u7679), _u7680) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7678, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7678), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7679)), _u7680))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastatMost__psubset__iff-1, axiom, ( ~class_Orderings_Oorder(_u7681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7682), _u7683)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7682)) )).
% 27.68/27.88 cnf(fact_atLeastatMost__psubset__iff-2, axiom, ( ~class_Orderings_Oorder(_u7681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7682), _u7683)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7683), _u7685)) )).
% 27.68/27.88 cnf(fact_atLeastatMost__psubset__iff-3, axiom, ( ~class_Orderings_Oorder(_u7681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7682), _u7683)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7681), _u7684), _u7682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7681), _u7683), _u7685)) )).
% 27.68/27.88 cnf(fact_atLeastatMost__psubset__iff-4, axiom, ( ~class_Orderings_Oorder(_u7681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7685)) )).
% 27.68/27.88 cnf(fact_atLeastatMost__psubset__iff-5, axiom, ( ~class_Orderings_Oorder(_u7681) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7682), _u7683)) )).
% 27.68/27.88 cnf(fact_atLeastatMost__psubset__iff-6, axiom, ( ~class_Orderings_Oorder(_u7681) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7683), _u7685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7681), _u7684), _u7682)) )).
% 27.68/27.88 cnf(fact_atLeastatMost__psubset__iff-7, axiom, ( ~class_Orderings_Oorder(_u7681) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7683), _u7685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7681), _u7683), _u7685)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__head__Suc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__head__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7687), _u7688)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7686), _u7689), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7687, _u7688)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7686), hAPP(_u7689, _u7687)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7686), _u7689), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7687), _u7688)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__cl__ivl__Suc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__cl__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7691)), _u7692)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7690), _u7693), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7692, hAPP(c_Nat_OSuc, _u7691))) = c_Groups_Ozero__class_Ozero(_u7690)) )).
% 27.68/27.88 cnf(fact_setsum__cl__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7690) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7691)), _u7692)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7690), _u7693), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7692, hAPP(c_Nat_OSuc, _u7691))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7690), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7690), _u7693), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7692, _u7691))), hAPP(_u7693, hAPP(c_Nat_OSuc, _u7691)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__ub__add__nat ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__ub__add__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7695), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7696), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7694), _u7697), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7695, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7696), _u7698))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7694), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7694), _u7697), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7695, _u7696))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7694), _u7697), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7696), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7696), _u7698))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ex__nat__less ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ex__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7699), _u7705)) | ~hBOOL(hAPP(_u7707, _u7699)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem104(_u7707, _u7705)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7705))) )).
% 27.68/27.88 cnf(fact_ex__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7699), _u7705)) | ~hBOOL(hAPP(_u7707, _u7699)) | hBOOL(hAPP(_u7707, skolem104(_u7707, _u7705))) )).
% 27.68/27.88 cnf(fact_ex__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7701), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7706))) | ~hBOOL(hAPP(_u7708, _u7701)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem105(_u7708, _u7706)), _u7706)) )).
% 27.68/27.88 cnf(fact_ex__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7701), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7706))) | ~hBOOL(hAPP(_u7708, _u7701)) | hBOOL(hAPP(_u7708, skolem105(_u7708, _u7706))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_all__nat__less ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_all__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7710), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7715))) | hBOOL(hAPP(_u7717, _u7710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem106(_u7717, _u7715)), _u7715)) )).
% 27.68/27.88 cnf(fact_all__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7710), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7715))) | hBOOL(hAPP(_u7717, _u7710)) | ~hBOOL(hAPP(_u7717, skolem106(_u7717, _u7715))) )).
% 27.68/27.88 cnf(fact_all__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7712), _u7716)) | hBOOL(hAPP(_u7718, _u7712)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem107(_u7718, _u7716)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7716))) )).
% 27.68/27.88 cnf(fact_all__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7712), _u7716)) | hBOOL(hAPP(_u7718, _u7712)) | ~hBOOL(hAPP(_u7718, skolem107(_u7718, _u7716))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sum__diff__distrib ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sum__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u7720, skolem108(_u7722, _u7721, _u7720))), hAPP(_u7721, skolem108(_u7722, _u7721, _u7720)))) | ( 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), _u7721), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7722))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u7720), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7722))) = 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)), _u7721)), _u7720)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7722))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_geometric__sum ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_geometric__sum-1, axiom, ( ~class_Fields_Ofield(_u7723) | ( _u7724 = c_Groups_Oone__class_Oone(_u7723)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7723), hAPP(c_Power_Opower__class_Opower(_u7723), _u7724)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7725)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7723), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7723), hAPP(hAPP(c_Power_Opower__class_Opower(_u7723), _u7724), _u7725)), c_Groups_Oone__class_Oone(_u7723))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7723), _u7724), c_Groups_Oone__class_Oone(_u7723)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ex__nat__less__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ex__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7726), _u7732)) | ~hBOOL(hAPP(_u7734, _u7726)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem109(_u7734, _u7732)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7732))) )).
% 27.68/27.88 cnf(fact_ex__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7726), _u7732)) | ~hBOOL(hAPP(_u7734, _u7726)) | hBOOL(hAPP(_u7734, skolem109(_u7734, _u7732))) )).
% 27.68/27.88 cnf(fact_ex__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7728), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7733))) | ~hBOOL(hAPP(_u7735, _u7728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem110(_u7735, _u7733)), _u7733)) )).
% 27.68/27.88 cnf(fact_ex__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7728), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7733))) | ~hBOOL(hAPP(_u7735, _u7728)) | hBOOL(hAPP(_u7735, skolem110(_u7735, _u7733))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_all__nat__less__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_all__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7737), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7742))) | hBOOL(hAPP(_u7744, _u7737)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem111(_u7744, _u7742)), _u7742)) )).
% 27.68/27.88 cnf(fact_all__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7737), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7742))) | hBOOL(hAPP(_u7744, _u7737)) | ~hBOOL(hAPP(_u7744, skolem111(_u7744, _u7742))) )).
% 27.68/27.88 cnf(fact_all__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7739), _u7743)) | hBOOL(hAPP(_u7745, _u7739)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem112(_u7745, _u7743)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7743))) )).
% 27.68/27.88 cnf(fact_all__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7739), _u7743)) | hBOOL(hAPP(_u7745, _u7739)) | ~hBOOL(hAPP(_u7745, skolem112(_u7745, _u7743))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastLessThan__eq__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastLessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7746), _u7747), _u7748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7746), _u7749), _u7750)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7746, _u7747), _u7748) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7746, _u7749), _u7750)) | ( _u7747 = _u7749) )).
% 27.68/27.88 cnf(fact_atLeastLessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7746), _u7747), _u7748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7746), _u7749), _u7750)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7746, _u7747), _u7748) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7746, _u7749), _u7750)) | ( _u7748 = _u7750) )).
% 27.68/27.88 cnf(fact_atLeastLessThan__eq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u7746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7746), _u7747), _u7748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7746), _u7749), _u7750)) | ( _u7747 != _u7749) | ( _u7748 != _u7750) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7746, _u7747), _u7748) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7746, _u7749), _u7750)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastLessThan__inj_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastLessThan__inj_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u7751) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7751, _u7752), _u7753) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7751, _u7754), _u7755)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7751), _u7752), _u7753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7751), _u7754), _u7755)) | ( _u7752 = _u7754) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastLessThan__inj_I2_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastLessThan__inj_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u7756) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7756, _u7757), _u7758) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7756, _u7759), _u7760)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7756), _u7757), _u7758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7756), _u7759), _u7760)) | ( _u7758 = _u7760) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastLessThanSuc__atLeastAtMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastLessThanSuc__atLeastAtMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7761), hAPP(c_Nat_OSuc, _u7762)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7761, _u7762)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeast0LessThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeast0LessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7763) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7763)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastLessThan__subset__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastLessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7764) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7764, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7764, _u7765), _u7766)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7764, _u7767), _u7768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7764), _u7766), _u7765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7764), _u7767), _u7765)) )).
% 27.68/27.88 cnf(fact_atLeastLessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7764) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7764, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7764, _u7765), _u7766)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7764, _u7767), _u7768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7764), _u7766), _u7765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7764), _u7766), _u7768)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__shift__bounds__Suc__ivl ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__shift__bounds__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7769) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7769), _u7770), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7771)), hAPP(c_Nat_OSuc, _u7772))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7769), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7769, tc_Nat_Onat), _u7770), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7771), _u7772))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__shift__bounds__nat__ivl ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__shift__bounds__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7773) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7773), _u7774), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7775), _u7776)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7777), _u7776))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7773), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7773, tc_Nat_Onat), _u7774), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u7776))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7775), _u7777))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__diff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__diff-1, axiom, ( ~class_Orderings_Olinorder(_u7778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7778), _u7779), _u7780)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7778, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7778, _u7779), _u7781)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7778, _u7779), _u7780)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7778, _u7780), _u7781)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__add__nat__ivl ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__add__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7783), _u7784)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7784), _u7785)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7782), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7782), _u7786), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7783), _u7784))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7782), _u7786), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7784), _u7785))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7782), _u7786), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7783), _u7785))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__diff__nat__ivl ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__diff__nat__ivl-1, axiom, ( ~class_Groups_Oab__group__add(_u7787) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7788), _u7789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7789), _u7790)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7787), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7787), _u7791), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7788), _u7790))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7787), _u7791), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7788), _u7789))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7787), _u7791), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7789), _u7790))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__shift__lb__Suc0__0__upt ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__shift__lb__Suc0__0__upt-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7792) | ( hAPP(_u7793, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u7792)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7792), _u7793), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7794)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7792), _u7793), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7794))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__head__upt__Suc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__head__upt__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7796), _u7797)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7795), _u7798), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7796), _u7797)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7795), hAPP(_u7798, _u7796)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7795), _u7798), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7796)), _u7797)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__op__ivl__Suc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__op__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7799) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7800), _u7801)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7799), _u7802), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7801), hAPP(c_Nat_OSuc, _u7800))) = c_Groups_Ozero__class_Ozero(_u7799)) )).
% 27.68/27.88 cnf(fact_setsum__op__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7799) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7800), _u7801)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7799), _u7802), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7801), hAPP(c_Nat_OSuc, _u7800))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7799), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7799), _u7802), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7801), _u7800))), hAPP(_u7802, _u7800))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_aset_I8_J ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7808), _u7805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7808), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7805), _u7806))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem113(_u7808, _u7807, _u7806, _u7805)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7806))) )).
% 27.68/27.88 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)), _u7806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7808), _u7805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7808), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7805), _u7806))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem114(_u7808, _u7807, _u7806, _u7805)), _u7807)) )).
% 27.68/27.88 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)), _u7806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7808), _u7805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7808), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7805), _u7806))) | ( _u7805 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem114(_u7808, _u7807, _u7806, _u7805)), skolem113(_u7808, _u7807, _u7806, _u7805))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_bset_I6_J ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7811), _u7814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7811), _u7812)), _u7814)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem115(_u7814, _u7813, _u7812, _u7811)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7812))) )).
% 27.68/27.88 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)), _u7812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7811), _u7814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7811), _u7812)), _u7814)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem116(_u7814, _u7813, _u7812, _u7811)), _u7813)) )).
% 27.68/27.88 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)), _u7812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7811), _u7814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7811), _u7812)), _u7814)) | ( _u7811 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem116(_u7814, _u7813, _u7812, _u7811)), skolem115(_u7814, _u7813, _u7812, _u7811))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_periodic__finite__ex ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem121(_u7822, _u7821)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | hBOOL(hAPP(_u7822, skolem117(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, skolem119(_u7822, _u7821))) )).
% 27.68/27.88 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)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem121(_u7822, _u7821)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | hBOOL(hAPP(_u7822, skolem117(_u7822, _u7821))) | hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem119(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem120(_u7822, _u7821)), _u7821)))) )).
% 27.68/27.88 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)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(_u7822, skolem121(_u7822, _u7821))) | hBOOL(hAPP(_u7822, skolem117(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, skolem119(_u7822, _u7821))) )).
% 27.68/27.88 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)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(_u7822, skolem121(_u7822, _u7821))) | hBOOL(hAPP(_u7822, skolem117(_u7822, _u7821))) | hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem119(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem120(_u7822, _u7821)), _u7821)))) )).
% 27.68/27.88 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)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem121(_u7822, _u7821)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | ~hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem118(_u7822, _u7821)), _u7821)))) | ~hBOOL(hAPP(_u7822, skolem119(_u7822, _u7821))) )).
% 27.68/27.88 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)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem121(_u7822, _u7821)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | ~hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem118(_u7822, _u7821)), _u7821)))) | hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem119(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem120(_u7822, _u7821)), _u7821)))) )).
% 27.68/27.88 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)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(_u7822, skolem121(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem118(_u7822, _u7821)), _u7821)))) | ~hBOOL(hAPP(_u7822, skolem119(_u7822, _u7821))) )).
% 27.68/27.88 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)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(_u7822, skolem121(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem118(_u7822, _u7821)), _u7821)))) | hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem119(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem120(_u7822, _u7821)), _u7821)))) )).
% 27.68/27.88 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)), _u7821)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7819), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | ~hBOOL(hAPP(_u7822, _u7819)) | hBOOL(hAPP(_u7822, skolem122(_u7822, _u7821))) | hBOOL(hAPP(_u7822, skolem117(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, skolem119(_u7822, _u7821))) )).
% 27.68/27.88 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)), _u7821)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7819), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | ~hBOOL(hAPP(_u7822, _u7819)) | hBOOL(hAPP(_u7822, skolem122(_u7822, _u7821))) | hBOOL(hAPP(_u7822, skolem117(_u7822, _u7821))) | hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem119(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem120(_u7822, _u7821)), _u7821)))) )).
% 27.68/27.88 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)), _u7821)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7819), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | ~hBOOL(hAPP(_u7822, _u7819)) | hBOOL(hAPP(_u7822, skolem122(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem118(_u7822, _u7821)), _u7821)))) | ~hBOOL(hAPP(_u7822, skolem119(_u7822, _u7821))) )).
% 27.68/27.88 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)), _u7821)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7819), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | ~hBOOL(hAPP(_u7822, _u7819)) | hBOOL(hAPP(_u7822, skolem122(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem118(_u7822, _u7821)), _u7821)))) | hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem119(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem120(_u7822, _u7821)), _u7821)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_bset_I5_J ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7829), _u7832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7829), _u7830)), _u7832)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem123(_u7832, _u7831, _u7830, _u7829)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7830))) )).
% 27.68/27.88 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)), _u7830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7829), _u7832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7829), _u7830)), _u7832)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem124(_u7832, _u7831, _u7830, _u7829)), _u7831)) )).
% 27.68/27.88 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)), _u7830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7829), _u7832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7829), _u7830)), _u7832)) | ( _u7829 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem124(_u7832, _u7831, _u7830, _u7829)), skolem123(_u7832, _u7831, _u7830, _u7829))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastLessThanPlusOne__atLeastAtMost__int ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastLessThanPlusOne__atLeastAtMost__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7833), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7834), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7833, _u7834)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_aset_I7_J ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7840), _u7837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7840), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7837), _u7838))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem125(_u7840, _u7839, _u7838, _u7837)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7838))) )).
% 27.68/27.88 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)), _u7838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7840), _u7837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7840), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7837), _u7838))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem126(_u7840, _u7839, _u7838, _u7837)), _u7839)) )).
% 27.68/27.88 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)), _u7838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7840), _u7837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7840), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7837), _u7838))) | ( _u7837 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem126(_u7840, _u7839, _u7838, _u7837)), skolem125(_u7840, _u7839, _u7838, _u7837))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_bset_I9_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_bset_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), _u7845)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7843), _u7847))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7843), _u7845)), _u7847))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem127(_u7847, _u7846, _u7845, _u7844, _u7843)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7845))) )).
% 27.68/27.88 cnf(fact_bset_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), _u7845)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7843), _u7847))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7843), _u7845)), _u7847))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem128(_u7847, _u7846, _u7845, _u7844, _u7843)), _u7846)) )).
% 27.68/27.88 cnf(fact_bset_I9_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), _u7845)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7843), _u7847))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7843), _u7845)), _u7847))) | ( _u7843 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem128(_u7847, _u7846, _u7845, _u7844, _u7843)), skolem127(_u7847, _u7846, _u7845, _u7844, _u7843))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_aset_I9_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_aset_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), _u7852)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7850), _u7854))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7850), _u7852)), _u7854))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem129(_u7854, _u7853, _u7852, _u7851, _u7850)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7852))) )).
% 27.68/27.88 cnf(fact_aset_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), _u7852)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7850), _u7854))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7850), _u7852)), _u7854))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem130(_u7854, _u7853, _u7852, _u7851, _u7850)), _u7853)) )).
% 27.68/27.88 cnf(fact_aset_I9_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), _u7852)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7850), _u7854))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7850), _u7852)), _u7854))) | ( _u7850 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem130(_u7854, _u7853, _u7852, _u7851, _u7850)), skolem129(_u7854, _u7853, _u7852, _u7851, _u7850))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_bset_I10_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_bset_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), _u7859)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7857), _u7861))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7857), _u7859)), _u7861))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem131(_u7861, _u7860, _u7859, _u7858, _u7857)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7859))) )).
% 27.68/27.88 cnf(fact_bset_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), _u7859)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7857), _u7861))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7857), _u7859)), _u7861))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem132(_u7861, _u7860, _u7859, _u7858, _u7857)), _u7860)) )).
% 27.68/27.88 cnf(fact_bset_I10_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), _u7859)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7857), _u7861))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7857), _u7859)), _u7861))) | ( _u7857 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem132(_u7861, _u7860, _u7859, _u7858, _u7857)), skolem131(_u7861, _u7860, _u7859, _u7858, _u7857))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_aset_I10_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_aset_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), _u7866)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7868))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7866)), _u7868))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem133(_u7868, _u7867, _u7866, _u7865, _u7864)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7866))) )).
% 27.68/27.88 cnf(fact_aset_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), _u7866)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7868))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7866)), _u7868))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem134(_u7868, _u7867, _u7866, _u7865, _u7864)), _u7867)) )).
% 27.68/27.88 cnf(fact_aset_I10_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), _u7866)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7868))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7866)), _u7868))) | ( _u7864 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem134(_u7868, _u7867, _u7866, _u7865, _u7864)), skolem133(_u7868, _u7867, _u7866, _u7865, _u7864))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7869)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7869) = 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, _u7869)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__head ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__head-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7871), _u7872)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7870), _u7873), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7871, _u7872)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7870), hAPP(_u7873, _u7871)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7870), _u7873), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7871, _u7872)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_Ostrict__monoI ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_Ostrict__monoI-1, axiom, ( ~class_Orderings_Oorder(_u7876) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7876, 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)))), _u7877) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem135(_u7877, _u7876)), skolem136(_u7877, _u7876))) )).
% 27.68/27.88 cnf(fact_dvd_Ostrict__monoI-2, axiom, ( ~class_Orderings_Oorder(_u7876) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7876, 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)))), _u7877) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem136(_u7877, _u7876)), skolem135(_u7877, _u7876))) )).
% 27.68/27.88 cnf(fact_dvd_Ostrict__monoI-3, axiom, ( ~class_Orderings_Oorder(_u7876) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7876, 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)))), _u7877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7876), hAPP(_u7877, skolem135(_u7877, _u7876))), hAPP(_u7877, skolem136(_u7877, _u7876)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__uminus__greaterThanAtMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__uminus__greaterThanAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7878) | ( hAPP(c_Set_Oimage(_u7878, _u7878, c_Groups_Ouminus__class_Ouminus(_u7878)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7878, _u7879, _u7880)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7878, hAPP(c_Groups_Ouminus__class_Ouminus(_u7878), _u7880)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7878), _u7879))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__uminus__atLeastLessThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__uminus__atLeastLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7881) | ( hAPP(c_Set_Oimage(_u7881, _u7881, c_Groups_Ouminus__class_Ouminus(_u7881)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7881, _u7882), _u7883)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7881, hAPP(c_Groups_Ouminus__class_Ouminus(_u7881), _u7883), hAPP(c_Groups_Ouminus__class_Ouminus(_u7881), _u7882))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__image ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__image-1, axiom, ( ( hAPP(c_Set_Oimage(_u7884, _u7885, _u7886), hAPP(c_Set_Oimage(_u7887, _u7884, _u7888), _u7889)) = hAPP(c_Set_Oimage(_u7887, _u7885, hAPP(hAPP(c_COMBB(_u7884, _u7885, _u7887), _u7886), _u7888)), _u7889)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__nat__int__set__relations_I4_J ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7892), _u7894)) | 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)), _u7892)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7894))) )).
% 27.68/27.88 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)), _u7893)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7895))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7893), _u7895)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__nat__int__set__relations_I5_J ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7898), _u7900)) | 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)), _u7898)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7900))) )).
% 27.68/27.88 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)), _u7899)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7901))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7899), _u7901)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__nat__int__set__relations_I3_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_transfer__nat__int__set__relations_I3_J-1, axiom, ( ( _u7904 != _u7906) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7904) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7906)) )).
% 27.68/27.88 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)), _u7905) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7907)) | ( _u7905 = _u7907) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_subset__image__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_subset__image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7915, tc_HOL_Obool)), _u7917), hAPP(c_Set_Oimage(_u7919, _u7915, _u7921), _u7923))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7919, tc_HOL_Obool)), skolem137(_u7923, _u7921, _u7919, _u7917, _u7915)), _u7923)) )).
% 27.68/27.88 cnf(fact_subset__image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7915, tc_HOL_Obool)), _u7917), hAPP(c_Set_Oimage(_u7919, _u7915, _u7921), _u7923))) | ( _u7917 = hAPP(c_Set_Oimage(_u7919, _u7915, _u7921), skolem137(_u7923, _u7921, _u7919, _u7917, _u7915))) )).
% 27.68/27.88 cnf(fact_subset__image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7920, tc_HOL_Obool)), _u7909), _u7924)) | ( _u7918 != hAPP(c_Set_Oimage(_u7920, _u7916, _u7922), _u7909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7916, tc_HOL_Obool)), _u7918), hAPP(c_Set_Oimage(_u7920, _u7916, _u7922), _u7924))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__mono ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7925, tc_HOL_Obool)), _u7926), _u7927)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7928, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7925, _u7928, _u7929), _u7926)), hAPP(c_Set_Oimage(_u7925, _u7928, _u7929), _u7927))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__diff__subset ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7930, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7930, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7931, _u7930, _u7932), _u7933)), hAPP(c_Set_Oimage(_u7931, _u7930, _u7932), _u7934))), hAPP(c_Set_Oimage(_u7931, _u7930, _u7932), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7931, tc_HOL_Obool)), _u7933), _u7934)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__uminus__atLeastAtMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__uminus__atLeastAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7935) | ( hAPP(c_Set_Oimage(_u7935, _u7935, c_Groups_Ouminus__class_Ouminus(_u7935)), c_SetInterval_Oord__class_OatLeastAtMost(_u7935, _u7936, _u7937)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7935, hAPP(c_Groups_Ouminus__class_Ouminus(_u7935), _u7937), hAPP(c_Groups_Ouminus__class_Ouminus(_u7935), _u7936))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastSucAtMost__greaterThanAtMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastSucAtMost__greaterThanAtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7938), _u7939) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7938, _u7939)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__nat__int__sum__prod_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_transfer__nat__int__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7940) | ~class_Groups_Ocomm__monoid__mult(_u7940) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7940), _u7941), _u7942) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u7940), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7940, tc_Int_Oint), _u7941), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7942))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_SetInterval_Otransfer__int__nat__set__functions ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_SetInterval_Otransfer__int__nat__set__functions-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7943) | ~c_Nat__Transfer_Ois__nat(_u7944) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7943, _u7944) = 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, _u7943), hAPP(c_Int_Onat, _u7944)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__SucD ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__SucD-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7946, tc_Nat_Onat), _u7947), _u7948) != hAPP(c_Nat_OSuc, _u7949)) | hBOOL(hAPP(hAPP(c_member(_u7946), skolem138(_u7949, _u7948, _u7947, _u7946)), _u7948)) )).
% 27.68/27.88 cnf(fact_setsum__SucD-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7946, tc_Nat_Onat), _u7947), _u7948) != hAPP(c_Nat_OSuc, _u7949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u7947, skolem138(_u7949, _u7948, _u7947, _u7946)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__ivl__cong ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__ivl__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7951) | ~class_Orderings_Oord(_u7952) | ( _u7953 != _u7954) | ( _u7955 != _u7956) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7952, _u7951), _u7957), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7952, _u7953), _u7955)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7952, _u7951), _u7958), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7952, _u7954), _u7956))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7952), _u7954), skolem139(_u7958, _u7957, _u7956, _u7955, _u7954, _u7953, _u7952, _u7951))) )).
% 27.68/27.88 cnf(fact_setsum__ivl__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7951) | ~class_Orderings_Oord(_u7952) | ( _u7953 != _u7954) | ( _u7955 != _u7956) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7952, _u7951), _u7957), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7952, _u7953), _u7955)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7952, _u7951), _u7958), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7952, _u7954), _u7956))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7952), skolem139(_u7958, _u7957, _u7956, _u7955, _u7954, _u7953, _u7952, _u7951)), _u7956)) )).
% 27.68/27.88 cnf(fact_setsum__ivl__cong-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7951) | ~class_Orderings_Oord(_u7952) | ( _u7953 != _u7954) | ( _u7955 != _u7956) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7952, _u7951), _u7957), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7952, _u7953), _u7955)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7952, _u7951), _u7958), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7952, _u7954), _u7956))) | ( hAPP(_u7957, skolem139(_u7958, _u7957, _u7956, _u7955, _u7954, _u7953, _u7952, _u7951)) != hAPP(_u7958, skolem139(_u7958, _u7957, _u7956, _u7955, _u7954, _u7953, _u7952, _u7951))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__atLeastAtMost__int ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__atLeastAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7959, _u7960)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7960), _u7959)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__uminus__greaterThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__uminus__greaterThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7961) | ( hAPP(c_Set_Oimage(_u7961, _u7961, c_Groups_Ouminus__class_Ouminus(_u7961)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7961), _u7962)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u7961), hAPP(c_Groups_Ouminus__class_Ouminus(_u7961), _u7962))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__greaterThanAtMost__int ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__greaterThanAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7963, _u7964)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7964), _u7963))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_greaterThan__eq__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_greaterThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7965) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7965), _u7966) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7965), _u7967)) | ( _u7966 = _u7967) )).
% 27.68/27.88 cnf(fact_greaterThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7965) | ( _u7966 != _u7967) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7965), _u7966) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7965), _u7967)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__Suc__atLeastLessThan ( axiom ) converted to clauses:
% 27.68/27.88 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, _u7968), _u7969)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7968)), hAPP(c_Nat_OSuc, _u7969))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__Suc__atLeastAtMost ( axiom ) converted to clauses:
% 27.68/27.88 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, _u7970, _u7971)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7970), hAPP(c_Nat_OSuc, _u7971))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__add__atLeastLessThan ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7972)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7973), _u7974)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7973), _u7972)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7974), _u7972))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__add__atLeastAtMost ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7975)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7976, _u7977)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7976), _u7975), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7977), _u7975))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__eq__setsum ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__eq__setsum-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7978), _u7979) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7978, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u7978), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7979)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__int__nat__set__return__embed ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7980)) = _u7980) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_greaterThan__subset__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_greaterThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7981, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7981), _u7982)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7981), _u7983))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7981), _u7983), _u7982)) )).
% 27.68/27.88 cnf(fact_greaterThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7981), _u7983), _u7982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7981, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7981), _u7982)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7981), _u7983))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__constant ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__constant-1, axiom, ( ~class_Rings_Osemiring__1(_u7984) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7985, _u7984), hAPP(c_COMBK(_u7984, _u7985), _u7986)), _u7987) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7984), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7984), hAPP(c_Finite__Set_Ocard(_u7985), _u7987))), _u7986)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7988)) = hAPP(c_Int_Onat, _u7988)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__atLeastLessThan__int ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__atLeastLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7989), _u7990)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7990), _u7989))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7991, _u7992) = 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), _u7991), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7992)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastPlusOneAtMost__greaterThanAtMost__int ( axiom ) converted to clauses:
% 27.68/27.88 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), _u7993), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7994) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7993, _u7994)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__add__int__atLeastLessThan ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u7995)), 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), _u7996), _u7995))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7995), _u7996)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__uminus__lessThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__uminus__lessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7997) | ( hAPP(c_Set_Oimage(_u7997, _u7997, c_Groups_Ouminus__class_Ouminus(_u7997)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7997), _u7998)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7997), hAPP(c_Groups_Ouminus__class_Ouminus(_u7997), _u7998))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__greaterThanLessThan__int ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u7999, _u8000)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8000), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7999), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__int__nat__sum__prod_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_transfer__int__nat__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8001) | ~class_Groups_Ocomm__monoid__mult(_u8001) | ~c_Nat__Transfer_Onat__set(_u8002) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8001), _u8003), _u8002) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8001), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8001, tc_Nat_Onat), _u8003), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8002))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__int__nat__set__relations_I4_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_transfer__int__nat__set__relations_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8004) | ~c_Nat__Transfer_Onat__set(_u8005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8004), _u8005)) | 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), _u8004)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8005))) )).
% 27.68/27.88 cnf(fact_transfer__int__nat__set__relations_I4_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8004) | ~c_Nat__Transfer_Onat__set(_u8005) | ~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), _u8004)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8005))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8004), _u8005)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__int__nat__set__relations_I5_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_transfer__int__nat__set__relations_I5_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8006) | ~c_Nat__Transfer_Onat__set(_u8007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8006), _u8007)) | 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), _u8006)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8007))) )).
% 27.68/27.88 cnf(fact_transfer__int__nat__set__relations_I5_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8006) | ~c_Nat__Transfer_Onat__set(_u8007) | ~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), _u8006)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8007))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8006), _u8007)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8008) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u8008) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8008))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__lessThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__lessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8009)) = _u8009) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__int__nat__set__relations_I3_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_transfer__int__nat__set__relations_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8010) | ~c_Nat__Transfer_Onat__set(_u8011) | ( _u8010 != _u8011) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8010) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8011)) )).
% 27.68/27.88 cnf(fact_transfer__int__nat__set__relations_I3_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8010) | ~c_Nat__Transfer_Onat__set(_u8011) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8010) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8011)) | ( _u8010 = _u8011) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__atLeastLessThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__atLeastLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8012), _u8013)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8013), _u8012)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__greaterThanAtMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__greaterThanAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u8014, _u8015)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8015), _u8014)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_nat__set__def ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_nat__set__def-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8019) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8016), _u8019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8016)) )).
% 27.68/27.88 cnf(fact_nat__set__def-2, axiom, ( c_Nat__Transfer_Onat__set(_u8020) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem140(_u8020)), _u8020)) )).
% 27.68/27.88 cnf(fact_nat__set__def-3, axiom, ( c_Nat__Transfer_Onat__set(_u8020) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem140(_u8020))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__uminus__greaterThanLessThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__uminus__greaterThanLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8021) | ( hAPP(c_Set_Oimage(_u8021, _u8021, c_Groups_Ouminus__class_Ouminus(_u8021)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8021, _u8022, _u8023)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8021, hAPP(c_Groups_Ouminus__class_Ouminus(_u8021), _u8023), hAPP(c_Groups_Ouminus__class_Ouminus(_u8021), _u8022))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u8024)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_SetInterval_Otransfer__int__nat__set__function__closures ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_SetInterval_Otransfer__int__nat__set__function__closures-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8025) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8025, _u8026)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__atLeastAtMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__atLeastAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8027, _u8028)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8028)), _u8027)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8029) = 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)), _u8029))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_subset__card__intvl__is__intvl ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u8030), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8031), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8031), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8030))))) | ( _u8030 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8031), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8031), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8030)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_SetInterval_Otransfer__nat__int__set__function__closures ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u8032)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8032, _u8033)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__nat__int__set__return__embed ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_transfer__nat__int__set__return__embed-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8034) | ( 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), _u8034)) = _u8034) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastPlusOneLessThan__greaterThanLessThan__int ( axiom ) converted to clauses:
% 27.68/27.88 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), _u8035), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8036) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u8035, _u8036)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8037) = 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), _u8037)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__nat__int__sum__prod__cong_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8039) | ~class_Groups_Ocomm__monoid__mult(_u8039) | ( _u8040 != _u8041) | ~c_Nat__Transfer_Onat__set(_u8041) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8039), _u8042), _u8040) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8039), _u8043), _u8041)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem141(_u8043, _u8042, _u8041, _u8040, _u8039))) )).
% 27.68/27.88 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8039) | ~class_Groups_Ocomm__monoid__mult(_u8039) | ( _u8040 != _u8041) | ~c_Nat__Transfer_Onat__set(_u8041) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8039), _u8042), _u8040) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8039), _u8043), _u8041)) | ( hAPP(_u8042, skolem141(_u8043, _u8042, _u8041, _u8040, _u8039)) != hAPP(_u8043, skolem141(_u8043, _u8042, _u8041, _u8040, _u8039))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I19_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I19_J-1, axiom, ( ~class_Orderings_Olinorder(_u8044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8044), _u8045), _u8046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8044), _u8046), _u8047)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8044, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8044, _u8045, _u8046)), c_SetInterval_Oord__class_OatLeastAtMost(_u8044, _u8046, _u8047)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8044, _u8045, _u8047)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I18_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I18_J-1, axiom, ( ~class_Orderings_Olinorder(_u8048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8048), _u8049), _u8050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8048), _u8050), _u8051)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8048, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8048, _u8049, _u8050)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8048, _u8050, _u8051)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8048, _u8049), _u8051)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup1CI ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup1CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8055, tc_HOL_Obool)), _u8054), _u8052), _u8053)) | ~hBOOL(hAPP(_u8052, _u8053)) )).
% 27.68/27.88 cnf(fact_sup1CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8055, tc_HOL_Obool)), _u8054), _u8052), _u8053)) | ~hBOOL(hAPP(_u8054, _u8053)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup1E ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup1E-1, axiom, ( hBOOL(hAPP(_u8057, _u8059)) | hBOOL(hAPP(_u8058, _u8059)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8056, tc_HOL_Obool)), _u8057), _u8058), _u8059)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I9_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I9_J-1, axiom, ( ~class_Orderings_Olinorder(_u8060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8060), _u8061), _u8062)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8060, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8060), _u8061)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8060, _u8061, _u8062)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8060), _u8062)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__Un ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__Un-1, axiom, ( ( hAPP(c_Set_Oimage(_u8063, _u8064, _u8065), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8063, tc_HOL_Obool)), _u8066), _u8067)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8064, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8063, _u8064, _u8065), _u8066)), hAPP(c_Set_Oimage(_u8063, _u8064, _u8065), _u8067))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8068) | ~c_Nat__Transfer_Onat__set(_u8069) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8068), _u8069)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup1I2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup1I2-1, axiom, ( ~hBOOL(hAPP(_u8070, _u8071)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8072, tc_HOL_Obool)), _u8073), _u8070), _u8071)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup1I1 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup1I1-1, axiom, ( ~hBOOL(hAPP(_u8074, _u8075)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8076, tc_HOL_Obool)), _u8074), _u8077), _u8075)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ball__Un ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ball__Un-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8088), skolem142(_u8094, _u8092, _u8090, _u8088)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8088, tc_HOL_Obool)), _u8090), _u8092))) | ~hBOOL(hAPP(hAPP(c_member(_u8088), _u8079), _u8090)) | hBOOL(hAPP(_u8094, _u8079)) )).
% 27.68/27.88 cnf(fact_ball__Un-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8088), skolem142(_u8094, _u8092, _u8090, _u8088)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8088, tc_HOL_Obool)), _u8090), _u8092))) | ~hBOOL(hAPP(hAPP(c_member(_u8088), _u8080), _u8092)) | hBOOL(hAPP(_u8094, _u8080)) )).
% 27.68/27.88 cnf(fact_ball__Un-3, axiom, ( ~hBOOL(hAPP(_u8094, skolem142(_u8094, _u8092, _u8090, _u8088))) | ~hBOOL(hAPP(hAPP(c_member(_u8088), _u8079), _u8090)) | hBOOL(hAPP(_u8094, _u8079)) )).
% 27.68/27.88 cnf(fact_ball__Un-4, axiom, ( ~hBOOL(hAPP(_u8094, skolem142(_u8094, _u8092, _u8090, _u8088))) | ~hBOOL(hAPP(hAPP(c_member(_u8088), _u8080), _u8092)) | hBOOL(hAPP(_u8094, _u8080)) )).
% 27.68/27.88 cnf(fact_ball__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8089), _u8083), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8089, tc_HOL_Obool)), _u8091), _u8093))) | hBOOL(hAPP(_u8095, _u8083)) | hBOOL(hAPP(hAPP(c_member(_u8089), skolem143(_u8095, _u8093, _u8091, _u8089)), _u8091)) | hBOOL(hAPP(hAPP(c_member(_u8089), skolem144(_u8095, _u8093, _u8091, _u8089)), _u8093)) )).
% 27.68/27.88 cnf(fact_ball__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8089), _u8083), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8089, tc_HOL_Obool)), _u8091), _u8093))) | hBOOL(hAPP(_u8095, _u8083)) | hBOOL(hAPP(hAPP(c_member(_u8089), skolem143(_u8095, _u8093, _u8091, _u8089)), _u8091)) | ~hBOOL(hAPP(_u8095, skolem144(_u8095, _u8093, _u8091, _u8089))) )).
% 27.68/27.88 cnf(fact_ball__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8089), _u8083), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8089, tc_HOL_Obool)), _u8091), _u8093))) | hBOOL(hAPP(_u8095, _u8083)) | ~hBOOL(hAPP(_u8095, skolem143(_u8095, _u8093, _u8091, _u8089))) | hBOOL(hAPP(hAPP(c_member(_u8089), skolem144(_u8095, _u8093, _u8091, _u8089)), _u8093)) )).
% 27.68/27.88 cnf(fact_ball__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8089), _u8083), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8089, tc_HOL_Obool)), _u8091), _u8093))) | hBOOL(hAPP(_u8095, _u8083)) | ~hBOOL(hAPP(_u8095, skolem143(_u8095, _u8093, _u8091, _u8089))) | ~hBOOL(hAPP(_u8095, skolem144(_u8095, _u8093, _u8091, _u8089))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_bex__Un ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_bex__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8106), _u8096), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8106, tc_HOL_Obool)), _u8108), _u8110))) | ~hBOOL(hAPP(_u8112, _u8096)) | hBOOL(hAPP(hAPP(c_member(_u8106), skolem145(_u8112, _u8110, _u8108, _u8106)), _u8108)) | hBOOL(hAPP(hAPP(c_member(_u8106), skolem146(_u8112, _u8110, _u8108, _u8106)), _u8110)) )).
% 27.68/27.88 cnf(fact_bex__Un-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8106), _u8096), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8106, tc_HOL_Obool)), _u8108), _u8110))) | ~hBOOL(hAPP(_u8112, _u8096)) | hBOOL(hAPP(hAPP(c_member(_u8106), skolem145(_u8112, _u8110, _u8108, _u8106)), _u8108)) | hBOOL(hAPP(_u8112, skolem146(_u8112, _u8110, _u8108, _u8106))) )).
% 27.68/27.88 cnf(fact_bex__Un-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8106), _u8096), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8106, tc_HOL_Obool)), _u8108), _u8110))) | ~hBOOL(hAPP(_u8112, _u8096)) | hBOOL(hAPP(_u8112, skolem145(_u8112, _u8110, _u8108, _u8106))) | hBOOL(hAPP(hAPP(c_member(_u8106), skolem146(_u8112, _u8110, _u8108, _u8106)), _u8110)) )).
% 27.68/27.88 cnf(fact_bex__Un-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8106), _u8096), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8106, tc_HOL_Obool)), _u8108), _u8110))) | ~hBOOL(hAPP(_u8112, _u8096)) | hBOOL(hAPP(_u8112, skolem145(_u8112, _u8110, _u8108, _u8106))) | hBOOL(hAPP(_u8112, skolem146(_u8112, _u8110, _u8108, _u8106))) )).
% 27.68/27.88 cnf(fact_bex__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8107), _u8099), _u8109)) | ~hBOOL(hAPP(_u8113, _u8099)) | hBOOL(hAPP(hAPP(c_member(_u8107), skolem147(_u8113, _u8111, _u8109, _u8107)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8107, tc_HOL_Obool)), _u8109), _u8111))) )).
% 27.68/27.88 cnf(fact_bex__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8107), _u8099), _u8109)) | ~hBOOL(hAPP(_u8113, _u8099)) | hBOOL(hAPP(_u8113, skolem147(_u8113, _u8111, _u8109, _u8107))) )).
% 27.68/27.88 cnf(fact_bex__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8107), _u8100), _u8111)) | ~hBOOL(hAPP(_u8113, _u8100)) | hBOOL(hAPP(hAPP(c_member(_u8107), skolem147(_u8113, _u8111, _u8109, _u8107)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8107, tc_HOL_Obool)), _u8109), _u8111))) )).
% 27.68/27.88 cnf(fact_bex__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8107), _u8100), _u8111)) | ~hBOOL(hAPP(_u8113, _u8100)) | hBOOL(hAPP(_u8113, skolem147(_u8113, _u8111, _u8109, _u8107))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__assoc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8114, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8114, tc_HOL_Obool)), _u8115), _u8116)), _u8117) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8114, tc_HOL_Obool)), _u8115), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8114, tc_HOL_Obool)), _u8116), _u8117))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__left__commute ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8118, tc_HOL_Obool)), _u8119), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8118, tc_HOL_Obool)), _u8120), _u8121)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8118, tc_HOL_Obool)), _u8120), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8118, tc_HOL_Obool)), _u8119), _u8121))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__left__absorb ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8122, tc_HOL_Obool)), _u8123), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8122, tc_HOL_Obool)), _u8123), _u8124)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8122, tc_HOL_Obool)), _u8123), _u8124)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__commute ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8125, tc_HOL_Obool)), _u8126), _u8127) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8125, tc_HOL_Obool)), _u8127), _u8126)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__absorb ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8128, tc_HOL_Obool)), _u8129), _u8129) = _u8129) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__apply ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__apply-1, axiom, ( ~class_Lattices_Olattice(_u8130) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8131, _u8130)), _u8132), _u8133), _u8134) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8130), hAPP(_u8132, _u8134)), hAPP(_u8133, _u8134))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__assoc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__assoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8135) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8135), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8135), _u8136), _u8137)), _u8138) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8135), _u8136), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8135), _u8137), _u8138))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_inf__sup__aci_I6_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_inf__sup__aci_I6_J-1, axiom, ( ~class_Lattices_Olattice(_u8139) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8139), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8139), _u8140), _u8141)), _u8142) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8139), _u8140), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8139), _u8141), _u8142))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup_Oassoc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8143) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8143), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8143), _u8144), _u8145)), _u8146) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8143), _u8144), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8143), _u8145), _u8146))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__left__commute ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8147) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8147), _u8148), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8147), _u8149), _u8150)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8147), _u8149), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8147), _u8148), _u8150))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_inf__sup__aci_I7_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_inf__sup__aci_I7_J-1, axiom, ( ~class_Lattices_Olattice(_u8151) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8151), _u8152), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8151), _u8153), _u8154)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8151), _u8153), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8151), _u8152), _u8154))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup_Oleft__commute ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8155) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8155), _u8156), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8155), _u8157), _u8158)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8155), _u8157), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8155), _u8156), _u8158))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__left__idem ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8159) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8159), _u8160), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8159), _u8160), _u8161)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8159), _u8160), _u8161)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_inf__sup__aci_I8_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_inf__sup__aci_I8_J-1, axiom, ( ~class_Lattices_Olattice(_u8162) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8162), _u8163), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8162), _u8163), _u8164)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8162), _u8163), _u8164)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup_Oleft__idem ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8165) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8165), _u8166), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8165), _u8166), _u8167)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8165), _u8166), _u8167)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__commute ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8168) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8168), _u8169), _u8170) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8168), _u8170), _u8169)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_inf__sup__aci_I5_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_inf__sup__aci_I5_J-1, axiom, ( ~class_Lattices_Olattice(_u8171) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8171), _u8172), _u8173) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8171), _u8173), _u8172)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup_Ocommute ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8174) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8174), _u8175), _u8176) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8174), _u8176), _u8175)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__idem ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8177) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8177), _u8178), _u8178) = _u8178) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup_Oidem ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8179) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8179), _u8180), _u8180) = _u8180) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__fun__def ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u8181) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8182, _u8181)), _u8183), _u8184), _u8185) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8181), hAPP(_u8183, _u8185)), hAPP(_u8184, _u8185))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__Diff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8186, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8186, tc_HOL_Obool)), _u8187), _u8188)), _u8189) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8186, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8186, tc_HOL_Obool)), _u8187), _u8189)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8186, tc_HOL_Obool)), _u8188), _u8189))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__Diff__cancel2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__Diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8190, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8190, tc_HOL_Obool)), _u8191), _u8192)), _u8192) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8190, tc_HOL_Obool)), _u8191), _u8192)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__Diff__cancel ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8193, tc_HOL_Obool)), _u8194), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8193, tc_HOL_Obool)), _u8195), _u8194)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8193, tc_HOL_Obool)), _u8194), _u8195)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Sup__fin_Oidem ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Sup__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u8196) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8196), _u8197), _u8197) = _u8197) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__max ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__max-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8198) | ~class_Orderings_Olinorder(_u8198) | ( c_Lattices_Osemilattice__sup__class_Osup(_u8198) = c_Orderings_Oord__class_Omax(_u8198)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atMost__eq__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atMost__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8199) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u8199), _u8200) != hAPP(c_SetInterval_Oord__class_OatMost(_u8199), _u8201)) | ( _u8200 = _u8201) )).
% 27.68/27.88 cnf(fact_atMost__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8199) | ( _u8200 != _u8201) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u8199), _u8200) = hAPP(c_SetInterval_Oord__class_OatMost(_u8199), _u8201)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_less__supI1 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_less__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8202) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8202), _u8203), _u8204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8202), _u8203), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8202), _u8204), _u8205))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_less__supI2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_less__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8206), _u8207), _u8208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8206), _u8207), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8206), _u8209), _u8208))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__upper1 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__upper1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8210, tc_HOL_Obool)), _u8211), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8210, tc_HOL_Obool)), _u8211), _u8212))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__upper2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__upper2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8213, tc_HOL_Obool)), _u8214), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8213, tc_HOL_Obool)), _u8215), _u8214))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_subset__Un__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_subset__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8219, tc_HOL_Obool)), _u8221), _u8223)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8219, tc_HOL_Obool)), _u8221), _u8223) = _u8223) )).
% 27.68/27.88 cnf(fact_subset__Un__eq-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8220, tc_HOL_Obool)), _u8222), _u8224) != _u8224) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8220, tc_HOL_Obool)), _u8222), _u8224)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__absorb1 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8225, tc_HOL_Obool)), _u8226), _u8227)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8225, tc_HOL_Obool)), _u8226), _u8227) = _u8227) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__absorb2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8228, tc_HOL_Obool)), _u8229), _u8230)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8228, tc_HOL_Obool)), _u8230), _u8229) = _u8230) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__least ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__least-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8231, tc_HOL_Obool)), _u8232), _u8233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8231, tc_HOL_Obool)), _u8234), _u8233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8231, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8231, tc_HOL_Obool)), _u8232), _u8234)), _u8233)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__mono ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8235, tc_HOL_Obool)), _u8236), _u8237)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8235, tc_HOL_Obool)), _u8238), _u8239)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8235, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8235, tc_HOL_Obool)), _u8236), _u8238)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8235, tc_HOL_Obool)), _u8237), _u8239))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_le__supE ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_le__supE-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8240), _u8241), _u8242)), _u8243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), _u8243)) )).
% 27.68/27.88 cnf(fact_le__supE-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u8240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8240), _u8241), _u8242)), _u8243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8242), _u8243)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__mono ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__mono-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8244), _u8245), _u8246)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8244), _u8247), _u8248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8244), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8244), _u8245), _u8247)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8244), _u8246), _u8248))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__least ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__least-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8249), _u8250), _u8251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8249), _u8252), _u8251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8249), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8249), _u8250), _u8252)), _u8251)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_le__supI ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_le__supI-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), _u8254), _u8255)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), _u8256), _u8255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8253), _u8254), _u8256)), _u8255)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__absorb1 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8257), _u8258), _u8259)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8257), _u8259), _u8258) = _u8259) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__absorb2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8260), _u8261), _u8262)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8260), _u8261), _u8262) = _u8262) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_le__supI2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_le__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8263), _u8264), _u8265)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8263), _u8264), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8263), _u8266), _u8265))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_le__supI1 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_le__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8267), _u8268), _u8269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8267), _u8268), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8267), _u8269), _u8270))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_le__sup__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_le__sup__iff-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8271), _u8272), _u8273)), _u8274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), _u8272), _u8274)) )).
% 27.68/27.88 cnf(fact_le__sup__iff-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u8271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8271), _u8272), _u8273)), _u8274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), _u8273), _u8274)) )).
% 27.68/27.88 cnf(fact_le__sup__iff-3, axiom, ( ~class_Lattices_Osemilattice__sup(_u8271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), _u8272), _u8274)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), _u8273), _u8274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8271), _u8272), _u8273)), _u8274)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_le__iff__sup ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_le__iff__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8275) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8275), _u8276), _u8277)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8275), _u8276), _u8277) = _u8277) )).
% 27.68/27.88 cnf(fact_le__iff__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u8275) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8275), _u8276), _u8277) != _u8277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8275), _u8276), _u8277)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__ge2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__ge2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8278) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8278), _u8279), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8278), _u8280), _u8279))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_inf__sup__ord_I4_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_inf__sup__ord_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u8281) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8281), _u8282), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8281), _u8283), _u8282))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__ge1 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__ge1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8284) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8284), _u8285), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8284), _u8285), _u8286))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_inf__sup__ord_I3_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_inf__sup__ord_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u8287) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8287), _u8288), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8287), _u8288), _u8289))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__atMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__atMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8290)) = hAPP(c_Nat_OSuc, _u8290)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I10_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I10_J-1, axiom, ( ~class_Orderings_Olinorder(_u8291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8291), _u8292), _u8293)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8291, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8291), _u8292)), c_SetInterval_Oord__class_OatLeastAtMost(_u8291, _u8292, _u8293)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8291), _u8293)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I7_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I7_J-1, axiom, ( ~class_Orderings_Olinorder(_u8294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8294), _u8295), _u8296)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8294, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8294), _u8295)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8294, _u8295, _u8296)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8294), _u8296)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I17_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I17_J-1, axiom, ( ~class_Orderings_Olinorder(_u8297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8297), _u8298), _u8299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8297), _u8299), _u8300)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8297, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8297, _u8298), _u8299)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8297, _u8299), _u8300)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8297, _u8298), _u8300)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Diff__subset__conv ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Diff__subset__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8305, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8305, tc_HOL_Obool)), _u8307), _u8309)), _u8311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8305, tc_HOL_Obool)), _u8307), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8305, tc_HOL_Obool)), _u8309), _u8311))) )).
% 27.68/27.88 cnf(fact_Diff__subset__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8306, tc_HOL_Obool)), _u8308), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8306, tc_HOL_Obool)), _u8310), _u8312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8306, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8306, tc_HOL_Obool)), _u8308), _u8310)), _u8312)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Diff__partition ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Diff__partition-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8313, tc_HOL_Obool)), _u8314), _u8315)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8313, tc_HOL_Obool)), _u8314), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8313, tc_HOL_Obool)), _u8315), _u8314)) = _u8315) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u8316), _u8317) = 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)), _u8316)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8317)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I20_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I20_J-1, axiom, ( ~class_Orderings_Olinorder(_u8318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8318), _u8319), _u8320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8318), _u8320), _u8321)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8318, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8318, _u8319, _u8320)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8318, _u8320, _u8321)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8318, _u8319, _u8321)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Compl__Diff__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Compl__Diff__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8322, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8322, tc_HOL_Obool)), _u8323), _u8324)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8322, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8322, tc_HOL_Obool)), _u8323)), _u8324)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8325) | ~c_Nat__Transfer_Onat__set(_u8326) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8325), _u8326) = 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), _u8325)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8326)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeast0AtMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeast0AtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8327) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8327)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__greaterThanLessThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__greaterThanLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u8328, _u8329)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8329), hAPP(c_Nat_OSuc, _u8328))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_lessThan__Suc__atMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_lessThan__Suc__atMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8330)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8330)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastSucLessThan__greaterThanLessThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastSucLessThan__greaterThanLessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8331)), _u8332) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u8331, _u8332)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atMost__subset__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u8333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8333, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8333), _u8334)), hAPP(c_SetInterval_Oord__class_OatMost(_u8333), _u8335))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8333), _u8334), _u8335)) )).
% 27.68/27.88 cnf(fact_atMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u8333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8333), _u8334), _u8335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8333, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8333), _u8334)), hAPP(c_SetInterval_Oord__class_OatMost(_u8333), _u8335))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I21_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I21_J-1, axiom, ( ~class_Orderings_Olinorder(_u8336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8336), _u8337), _u8338)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8336), _u8338), _u8339)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8336, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8336, _u8337), _u8338)), c_SetInterval_Oord__class_OatLeastAtMost(_u8336, _u8338, _u8339)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8336, _u8337, _u8339)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastLessThan__add__Un ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastLessThan__add__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8340), _u8341)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8340), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8341), _u8342)) = 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, _u8340), _u8341)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8341), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8341), _u8342)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I8_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I8_J-1, axiom, ( ~class_Orderings_Olinorder(_u8343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8343), _u8344), _u8345)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8343, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8343), _u8344)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8343, _u8344), _u8345)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8343), _u8345)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I22_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I22_J-1, axiom, ( ~class_Orderings_Olinorder(_u8346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8346), _u8347), _u8348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8346), _u8348), _u8349)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8346, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8346, _u8347, _u8348)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8346, _u8348, _u8349)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8346, _u8347, _u8349)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I11_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I11_J-1, axiom, ( ~class_Orderings_Olinorder(_u8350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8350), _u8351), _u8352)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8350, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8350, _u8351, _u8352)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8350), _u8352)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8350), _u8351)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Compl__greaterThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Compl__greaterThan-1, axiom, ( ~class_Orderings_Olinorder(_u8353) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8353, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8353), _u8354)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8353), _u8354)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Compl__atMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Compl__atMost-1, axiom, ( ~class_Orderings_Olinorder(_u8355) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8355, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8355), _u8356)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8355), _u8356)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I15_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I15_J-1, axiom, ( ~class_Orderings_Olinorder(_u8357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8357), _u8358), _u8359)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8357), _u8359), _u8360)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8357, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8357, _u8358, _u8359)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8357, _u8359), _u8360)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8357, _u8358, _u8360)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I16_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I16_J-1, axiom, ( ~class_Orderings_Olinorder(_u8361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8361), _u8362), _u8363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8361), _u8363), _u8364)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8361, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8361, _u8362, _u8363)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8361, _u8363, _u8364)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8361, _u8362, _u8364)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__atMost__Suc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__atMost__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8365) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8365), _u8366), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8367))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8365), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8365), _u8366), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8367))), hAPP(_u8366, hAPP(c_Nat_OSuc, _u8367)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I12_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I12_J-1, axiom, ( ~class_Orderings_Olinorder(_u8368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8368), _u8369), _u8370)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8368, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8368, _u8369, _u8370)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8368), _u8370)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8368), _u8369)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I13_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I13_J-1, axiom, ( ~class_Orderings_Olinorder(_u8371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8371), _u8372), _u8373)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8371, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8371, _u8372, _u8373)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8371), _u8373)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8371), _u8372)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__le__eq__Un0 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__le__eq__Un0-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8374, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8375)), _u8376) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8374, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8374, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u8375)), _u8376)), hAPP(_u8376, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_OatLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 27.68/27.88 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8383)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385), _u8381)) )).
% 27.68/27.88 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8383)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8383), _u8387)) )).
% 27.68/27.88 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8383)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385), _u8381)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8383), _u8387)) )).
% 27.68/27.88 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8383)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385), _u8381)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8387), _u8383)) )).
% 27.68/27.88 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8383)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8385)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8383), _u8387)) )).
% 27.68/27.88 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8383)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8385)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8387), _u8383)) )).
% 27.68/27.88 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385), _u8387)) )).
% 27.68/27.88 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), _u8382, _u8384)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386, _u8388))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386), _u8388)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8382), _u8384)) )).
% 27.68/27.88 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), _u8382, _u8384)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386, _u8388))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386), _u8388)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386), _u8382)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8384), _u8388)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8382), _u8386)) )).
% 27.68/27.88 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), _u8382, _u8384)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386, _u8388))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386), _u8388)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386), _u8382)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8384), _u8388)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8388), _u8384)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__nat__def ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeast__eq__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeast__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8389) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u8389), _u8390) != hAPP(c_SetInterval_Oord__class_OatLeast(_u8389), _u8391)) | ( _u8390 = _u8391) )).
% 27.68/27.88 cnf(fact_atLeast__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8389) | ( _u8390 != _u8391) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u8389), _u8390) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8389), _u8391)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_SUP1__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_SUP1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8399, tc_fun(_u8401, tc_HOL_Obool)), _u8403), _u8405), _u8407)) | hBOOL(hAPP(hAPP(c_member(_u8399), skolem148(_u8407, _u8405, _u8403, _u8401, _u8399)), _u8403)) )).
% 27.68/27.88 cnf(fact_SUP1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8399, tc_fun(_u8401, tc_HOL_Obool)), _u8403), _u8405), _u8407)) | hBOOL(hAPP(hAPP(_u8405, skolem148(_u8407, _u8405, _u8403, _u8401, _u8399)), _u8407)) )).
% 27.68/27.88 cnf(fact_SUP1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8400), _u8393), _u8404)) | ~hBOOL(hAPP(hAPP(_u8406, _u8393), _u8408)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8400, tc_fun(_u8402, tc_HOL_Obool)), _u8404), _u8406), _u8408)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeast__Suc__greaterThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeast__Suc__greaterThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8409)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u8409)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeast__subset__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeast__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u8410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8410, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8410), _u8411)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8410), _u8412))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8410), _u8412), _u8411)) )).
% 27.68/27.88 cnf(fact_atLeast__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u8410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8410), _u8412), _u8411)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8410, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8410), _u8411)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8410), _u8412))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Compl__lessThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Compl__lessThan-1, axiom, ( ~class_Orderings_Olinorder(_u8413) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8413, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8413), _u8414)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8413), _u8414)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Compl__atLeast ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Compl__atLeast-1, axiom, ( ~class_Orderings_Olinorder(_u8415) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8415, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8415), _u8416)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8415), _u8416)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__le__add__shift ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__le__add__shift-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8417, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8418)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8417, tc_HOL_Obool), tc_Nat_Onat), _u8419), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u8420))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8417, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8420, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8418), _u8420))), _u8419)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I14_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I14_J-1, axiom, ( ~class_Orderings_Olinorder(_u8421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8421), _u8422), _u8423)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8421, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8421, _u8422), _u8423)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8421), _u8423)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8421), _u8422)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_OatLeastatMost__subset__iff ( axiom ) converted to clauses:
% 27.68/27.88 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), _u8428, _u8430)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8432, _u8434))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8428), _u8430)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8432), _u8428)) )).
% 27.68/27.88 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), _u8428, _u8430)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8432, _u8434))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8428), _u8430)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8430), _u8434)) )).
% 27.68/27.88 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), _u8429, _u8431)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8433, _u8435))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8429), _u8431)) )).
% 27.68/27.88 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), _u8429, _u8431)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8433, _u8435))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8433), _u8429)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8431), _u8435)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__uminus__atMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__uminus__atMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8436) | ( hAPP(c_Set_Oimage(_u8436, _u8436, c_Groups_Ouminus__class_Ouminus(_u8436)), hAPP(c_SetInterval_Oord__class_OatMost(_u8436), _u8437)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8436), hAPP(c_Groups_Ouminus__class_Ouminus(_u8436), _u8437))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__uminus__atLeast ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__uminus__atLeast-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8438) | ( hAPP(c_Set_Oimage(_u8438, _u8438, c_Groups_Ouminus__class_Ouminus(_u8438)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8438), _u8439)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8438), hAPP(c_Groups_Ouminus__class_Ouminus(_u8438), _u8439))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_SUP__subset ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_SUP__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8441, tc_HOL_Obool)), _u8442), _u8443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8440), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8441, _u8440), _u8442), _u8444)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8441, _u8440), _u8443), _u8444))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__simps_I6_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8445, tc_fun(_u8446, tc_HOL_Obool)), _u8447), hAPP(hAPP(c_COMBC(_u8445, tc_fun(_u8446, tc_HOL_Obool), tc_fun(_u8446, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8446, tc_HOL_Obool), tc_fun(tc_fun(_u8446, tc_HOL_Obool), tc_fun(_u8446, tc_HOL_Obool)), _u8445), c_Groups_Ominus__class_Ominus(tc_fun(_u8446, tc_HOL_Obool))), _u8448)), _u8449)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8446, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8445, tc_fun(_u8446, tc_HOL_Obool)), _u8447), _u8448)), _u8449)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__extend__simps_I6_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8450, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8451, tc_fun(_u8450, tc_HOL_Obool)), _u8452), _u8453)), _u8454) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8451, tc_fun(_u8450, tc_HOL_Obool)), _u8452), hAPP(hAPP(c_COMBC(_u8451, tc_fun(_u8450, tc_HOL_Obool), tc_fun(_u8450, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8450, tc_HOL_Obool), tc_fun(tc_fun(_u8450, tc_HOL_Obool), tc_fun(_u8450, tc_HOL_Obool)), _u8451), c_Groups_Ominus__class_Ominus(tc_fun(_u8450, tc_HOL_Obool))), _u8453)), _u8454))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_SUPR__apply ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_SUPR__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8455) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8456, tc_fun(_u8457, _u8455)), _u8458), _u8459), _u8460) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8456, _u8455), _u8458), hAPP(hAPP(c_COMBC(_u8456, _u8457, _u8455), _u8459), _u8460))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ball__UN ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ball__UN-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8474), _u8463), _u8476)) | ~hBOOL(hAPP(hAPP(c_member(_u8472), _u8462), hAPP(_u8478, _u8463))) | hBOOL(hAPP(_u8480, _u8462)) | hBOOL(hAPP(hAPP(c_member(_u8472), skolem149(_u8480, _u8478, _u8476, _u8474, _u8472)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8474, tc_fun(_u8472, tc_HOL_Obool)), _u8476), _u8478))) )).
% 27.68/27.88 cnf(fact_ball__UN-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8474), _u8463), _u8476)) | ~hBOOL(hAPP(hAPP(c_member(_u8472), _u8462), hAPP(_u8478, _u8463))) | hBOOL(hAPP(_u8480, _u8462)) | ~hBOOL(hAPP(_u8480, skolem149(_u8480, _u8478, _u8476, _u8474, _u8472))) )).
% 27.68/27.88 cnf(fact_ball__UN-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8473), _u8466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8475, tc_fun(_u8473, tc_HOL_Obool)), _u8477), _u8479))) | hBOOL(hAPP(_u8481, _u8466)) | hBOOL(hAPP(hAPP(c_member(_u8475), skolem150(_u8481, _u8479, _u8477, _u8475, _u8473)), _u8477)) )).
% 27.68/27.88 cnf(fact_ball__UN-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8473), _u8466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8475, tc_fun(_u8473, tc_HOL_Obool)), _u8477), _u8479))) | hBOOL(hAPP(_u8481, _u8466)) | hBOOL(hAPP(hAPP(c_member(_u8473), skolem151(_u8481, _u8479, _u8477, _u8475, _u8473)), hAPP(_u8479, skolem150(_u8481, _u8479, _u8477, _u8475, _u8473)))) )).
% 27.68/27.88 cnf(fact_ball__UN-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8473), _u8466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8475, tc_fun(_u8473, tc_HOL_Obool)), _u8477), _u8479))) | hBOOL(hAPP(_u8481, _u8466)) | ~hBOOL(hAPP(_u8481, skolem151(_u8481, _u8479, _u8477, _u8475, _u8473))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_SUP__commute ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_SUP__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8482) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8483, _u8482), _u8484), hAPP(hAPP(c_COMBB(tc_fun(_u8485, _u8482), _u8482, _u8483), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8485, _u8482), _u8486)), _u8487)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8485, _u8482), _u8486), hAPP(hAPP(c_COMBB(tc_fun(_u8483, _u8482), _u8482, _u8485), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8483, _u8482), _u8484)), hAPP(c_COMBC(_u8483, _u8485, _u8482), _u8487)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__extend__simps_I9_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8488, tc_fun(_u8489, tc_HOL_Obool)), _u8490), hAPP(hAPP(c_COMBC(_u8488, tc_fun(_u8491, tc_fun(_u8489, tc_HOL_Obool)), tc_fun(_u8489, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8491, tc_HOL_Obool), tc_fun(tc_fun(_u8491, tc_fun(_u8489, tc_HOL_Obool)), tc_fun(_u8489, tc_HOL_Obool)), _u8488), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8491, tc_fun(_u8489, tc_HOL_Obool))), _u8492)), _u8493)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8491, tc_fun(_u8489, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8488, tc_fun(_u8491, tc_HOL_Obool)), _u8490), _u8492)), _u8493)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__simps_I9_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8494, tc_fun(_u8495, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8496, tc_fun(_u8494, tc_HOL_Obool)), _u8497), _u8498)), _u8499) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8496, tc_fun(_u8495, tc_HOL_Obool)), _u8497), hAPP(hAPP(c_COMBC(_u8496, tc_fun(_u8494, tc_fun(_u8495, tc_HOL_Obool)), tc_fun(_u8495, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8494, tc_HOL_Obool), tc_fun(tc_fun(_u8494, tc_fun(_u8495, tc_HOL_Obool)), tc_fun(_u8495, tc_HOL_Obool)), _u8496), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8494, tc_fun(_u8495, tc_HOL_Obool))), _u8498)), _u8499))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__UN__flatten ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__UN__flatten-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8500, tc_fun(_u8501, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8502, tc_fun(_u8500, tc_HOL_Obool)), _u8503), _u8504)), _u8505) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8502, tc_fun(_u8501, tc_HOL_Obool)), _u8503), hAPP(hAPP(c_COMBC(_u8502, tc_fun(_u8500, tc_fun(_u8501, tc_HOL_Obool)), tc_fun(_u8501, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8500, tc_HOL_Obool), tc_fun(tc_fun(_u8500, tc_fun(_u8501, tc_HOL_Obool)), tc_fun(_u8501, tc_HOL_Obool)), _u8502), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8500, tc_fun(_u8501, tc_HOL_Obool))), _u8504)), _u8505))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_SUP__le__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_SUP__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8509, _u8508), _u8510), _u8511)), _u8512)) | ~hBOOL(hAPP(hAPP(c_member(_u8509), _u8506), _u8510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8508), hAPP(_u8511, _u8506)), _u8512)) )).
% 27.68/27.88 cnf(fact_SUP__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8508) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8509, _u8508), _u8510), _u8511)), _u8512)) | hBOOL(hAPP(hAPP(c_member(_u8509), skolem152(_u8512, _u8511, _u8510, _u8509, _u8508)), _u8510)) )).
% 27.68/27.88 cnf(fact_SUP__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8508) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8509, _u8508), _u8510), _u8511)), _u8512)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8508), hAPP(_u8511, skolem152(_u8512, _u8511, _u8510, _u8509, _u8508))), _u8512)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_less__SUP__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_less__SUP__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8515) | ~class_Orderings_Olinorder(_u8515) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8515), _u8516), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8517, _u8515), _u8518), _u8519))) | hBOOL(hAPP(hAPP(c_member(_u8517), skolem153(_u8519, _u8518, _u8517, _u8516, _u8515)), _u8518)) )).
% 27.68/27.88 cnf(fact_less__SUP__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8515) | ~class_Orderings_Olinorder(_u8515) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8515), _u8516), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8517, _u8515), _u8518), _u8519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8515), _u8516), hAPP(_u8519, skolem153(_u8519, _u8518, _u8517, _u8516, _u8515)))) )).
% 27.68/27.88 cnf(fact_less__SUP__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8515) | ~class_Orderings_Olinorder(_u8515) | ~hBOOL(hAPP(hAPP(c_member(_u8517), _u8514), _u8518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8515), _u8516), hAPP(_u8519, _u8514))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8515), _u8516), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8517, _u8515), _u8518), _u8519))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__subset__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8527, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8529, tc_fun(_u8527, tc_HOL_Obool)), _u8531), _u8533)), _u8535)) | ~hBOOL(hAPP(hAPP(c_member(_u8529), _u8520), _u8531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8527, tc_HOL_Obool)), hAPP(_u8533, _u8520)), _u8535)) )).
% 27.68/27.88 cnf(fact_UN__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8528, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8530, tc_fun(_u8528, tc_HOL_Obool)), _u8532), _u8534)), _u8536)) | hBOOL(hAPP(hAPP(c_member(_u8530), skolem154(_u8536, _u8534, _u8532, _u8530, _u8528)), _u8532)) )).
% 27.68/27.88 cnf(fact_UN__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8528, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8530, tc_fun(_u8528, tc_HOL_Obool)), _u8532), _u8534)), _u8536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8528, tc_HOL_Obool)), hAPP(_u8534, skolem154(_u8536, _u8534, _u8532, _u8530, _u8528))), _u8536)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__simps_I10_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8537, tc_fun(_u8538, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8539, _u8537, _u8540), _u8541)), _u8542) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8539, tc_fun(_u8538, tc_HOL_Obool)), _u8541), hAPP(hAPP(c_COMBB(_u8537, tc_fun(_u8538, tc_HOL_Obool), _u8539), _u8542), _u8540))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__UN ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u8543, _u8544, _u8545), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8546, tc_fun(_u8543, tc_HOL_Obool)), _u8547), _u8548)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8546, tc_fun(_u8544, tc_HOL_Obool)), _u8547), hAPP(hAPP(c_COMBB(tc_fun(_u8543, tc_HOL_Obool), tc_fun(_u8544, tc_HOL_Obool), _u8546), c_Set_Oimage(_u8543, _u8544, _u8545)), _u8548))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__extend__simps_I10_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8549, tc_fun(_u8550, tc_HOL_Obool)), _u8551), hAPP(hAPP(c_COMBB(_u8552, tc_fun(_u8550, tc_HOL_Obool), _u8549), _u8553), _u8554)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8552, tc_fun(_u8550, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8549, _u8552, _u8554), _u8551)), _u8553)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__Un ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8555, tc_fun(_u8556, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8555, tc_HOL_Obool)), _u8557), _u8558)), _u8559) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8556, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8555, tc_fun(_u8556, tc_HOL_Obool)), _u8557), _u8559)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8555, tc_fun(_u8556, tc_HOL_Obool)), _u8558), _u8559))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__Un__distrib ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8560, tc_fun(_u8561, tc_HOL_Obool)), _u8562), hAPP(hAPP(c_COMBS(_u8560, tc_fun(_u8561, tc_HOL_Obool), tc_fun(_u8561, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8561, tc_HOL_Obool), tc_fun(tc_fun(_u8561, tc_HOL_Obool), tc_fun(_u8561, tc_HOL_Obool)), _u8560), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8561, tc_HOL_Obool))), _u8563)), _u8564)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8561, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8560, tc_fun(_u8561, tc_HOL_Obool)), _u8562), _u8563)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8560, tc_fun(_u8561, tc_HOL_Obool)), _u8562), _u8564))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_greaterThan__0 ( axiom ) converted to clauses:
% 27.68/27.88 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)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_OmonoI ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_OmonoI-1, axiom, ( ~class_Orderings_Oorder(_u8567) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u8567, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8568) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem155(_u8568, _u8567)), skolem156(_u8568, _u8567))) )).
% 27.68/27.88 cnf(fact_dvd_OmonoI-2, axiom, ( ~class_Orderings_Oorder(_u8567) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u8567, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8567), hAPP(_u8568, skolem155(_u8568, _u8567))), hAPP(_u8568, skolem156(_u8568, _u8567)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_upto_Opinduct ( axiom ) converted to clauses:
% 27.68/27.88 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), _u8571), _u8572))) | hBOOL(hAPP(hAPP(_u8573, _u8571), _u8572)) | 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), skolem157(_u8573, _u8572, _u8571)), skolem158(_u8573, _u8572, _u8571)))) )).
% 27.68/27.88 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), _u8571), _u8572))) | hBOOL(hAPP(hAPP(_u8573, _u8571), _u8572)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u8573, _u8572, _u8571)), skolem158(_u8573, _u8572, _u8571))) | hBOOL(hAPP(hAPP(_u8573, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem157(_u8573, _u8572, _u8571)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem158(_u8573, _u8572, _u8571))) )).
% 27.68/27.88 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), _u8571), _u8572))) | hBOOL(hAPP(hAPP(_u8573, _u8571), _u8572)) | ~hBOOL(hAPP(hAPP(_u8573, skolem157(_u8573, _u8572, _u8571)), skolem158(_u8573, _u8572, _u8571))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__ident ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__ident-1, axiom, ( ( hAPP(c_Set_Oimage(_u8574, _u8574, c_COMBI(_u8574)), _u8575) = _u8575) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_top1I ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_top1I-1, axiom, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u8576, tc_HOL_Obool)), _u8577)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__UNIV__right ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8578, tc_HOL_Obool)), _u8579), c_Orderings_Otop__class_Otop(tc_fun(_u8578, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u8578, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__UNIV__left ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8580, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8580, tc_HOL_Obool))), _u8581) = c_Orderings_Otop__class_Otop(tc_fun(_u8580, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_subset__UNIV ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_subset__UNIV-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8582, tc_HOL_Obool)), _u8583), c_Orderings_Otop__class_Otop(tc_fun(_u8582, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_top__apply ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_top__apply-1, axiom, ( ~class_Orderings_Otop(_u8584) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u8585, _u8584)), _u8586) = c_Orderings_Otop__class_Otop(_u8584)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_range__composition ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_range__composition-1, axiom, ( ( hAPP(c_Set_Oimage(_u8587, _u8588, hAPP(hAPP(c_COMBB(_u8589, _u8588, _u8587), _u8590), _u8591)), c_Orderings_Otop__class_Otop(tc_fun(_u8587, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u8589, _u8588, _u8590), hAPP(c_Set_Oimage(_u8587, _u8589, _u8591), c_Orderings_Otop__class_Otop(tc_fun(_u8587, tc_HOL_Obool))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_top__greatest ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_top__greatest-1, axiom, ( ~class_Orderings_Otop(_u8592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8592), _u8593), c_Orderings_Otop__class_Otop(_u8592))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__top__left ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u8594) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8594), c_Orderings_Otop__class_Otop(_u8594)), _u8595) = c_Orderings_Otop__class_Otop(_u8594)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__top__right ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u8596) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8596), _u8597), c_Orderings_Otop__class_Otop(_u8596)) = c_Orderings_Otop__class_Otop(_u8596)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__lessThan__UNIV ( axiom ) converted to clauses:
% 27.68/27.88 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))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__atMost__UNIV ( axiom ) converted to clauses:
% 27.68/27.88 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))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__atLeast__UNIV ( axiom ) converted to clauses:
% 27.68/27.88 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))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_surj__Compl__image__subset ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_surj__Compl__image__subset-1, axiom, ( ( hAPP(c_Set_Oimage(_u8598, _u8599, _u8600), c_Orderings_Otop__class_Otop(tc_fun(_u8598, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u8599, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8599, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8599, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8598, _u8599, _u8600), _u8601))), hAPP(c_Set_Oimage(_u8598, _u8599, _u8600), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8598, tc_HOL_Obool)), _u8601)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Compl__partition ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Compl__partition-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8602, tc_HOL_Obool)), _u8603), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8602, tc_HOL_Obool)), _u8603)) = c_Orderings_Otop__class_Otop(tc_fun(_u8602, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Compl__partition2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Compl__partition2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8604, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8604, tc_HOL_Obool)), _u8605)), _u8605) = c_Orderings_Otop__class_Otop(tc_fun(_u8604, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Compl__eq__Diff__UNIV ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Compl__eq__Diff__UNIV-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8606, tc_HOL_Obool)), _u8607) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8606, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8606, tc_HOL_Obool))), _u8607)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeast__0 ( axiom ) converted to clauses:
% 27.68/27.88 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))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__compl__top ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__compl__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8608) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8608), _u8609), hAPP(c_Groups_Ouminus__class_Ouminus(_u8608), _u8609)) = c_Orderings_Otop__class_Otop(_u8608)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_compl__sup__top ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_compl__sup__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8610) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8610), hAPP(c_Groups_Ouminus__class_Ouminus(_u8610), _u8611)), _u8611) = c_Orderings_Otop__class_Otop(_u8610)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__UN__finite__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__UN__finite__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8612, 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(_u8612, tc_HOL_Obool)), tc_fun(_u8612, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u8612, tc_HOL_Obool)), tc_fun(_u8612, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8612, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u8613)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8612, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8613)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__finite2__subset ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__finite2__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8615, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8615, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem159(_u8618, _u8617, _u8616, _u8615))), _u8616)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8615, 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), skolem159(_u8618, _u8617, _u8616, _u8615)), _u8617))), _u8618))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8615, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8615, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8616)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8615, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8618))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__finite2__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__finite2__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8620, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem160(_u8623, _u8622, _u8621, _u8620))), _u8621) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8620, 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(_u8623, _u8622, _u8621, _u8620)), _u8622))), _u8623)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8620, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8621) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8620, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8623)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__finite__subset ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8625, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8625, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem161(_u8627, _u8626, _u8625))), _u8626)), _u8627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8625, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8625, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8626)), _u8627)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_type__definition__code__numeral ( axiom ) converted to clauses:
% 27.68/27.88 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))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__UNIV__bool ( axiom ) converted to clauses:
% 27.68/27.88 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)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_type__definition_OAbs__image ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_type__definition_OAbs__image-1, axiom, ( ~c_Typedef_Otype__definition(_u8628, _u8629, _u8630, _u8631, _u8632) | ( hAPP(c_Set_Oimage(_u8629, _u8628, _u8631), _u8632) = c_Orderings_Otop__class_Otop(tc_fun(_u8628, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_type__definition_ORep__range ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_type__definition_ORep__range-1, axiom, ( ~c_Typedef_Otype__definition(_u8633, _u8634, _u8635, _u8636, _u8637) | ( hAPP(c_Set_Oimage(_u8633, _u8634, _u8635), c_Orderings_Otop__class_Otop(tc_fun(_u8633, tc_HOL_Obool))) = _u8637) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_lessThan__Suc__eq__insert__0 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_lessThan__Suc__eq__insert__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8638)) = 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), _u8638)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__diff__nat ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__diff__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8639), _u8640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8639, tc_HOL_Obool)), _u8640), _u8641)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8639, tc_Nat_Onat), _u8642), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8639, tc_HOL_Obool)), _u8641), _u8640)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8639, tc_Nat_Onat), _u8642), _u8641)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8639, tc_Nat_Onat), _u8642), _u8640))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__atLeastLessThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__atLeastLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8643), _u8644))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__atLeastAtMost__int ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__atLeastAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8645, _u8646))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__atLeastAtMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__atLeastAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8647, _u8648))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__lessThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__lessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8649))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__atMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__atMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8650))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__atLeastLessThan__int ( axiom ) converted to clauses:
% 27.68/27.88 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, _u8651), _u8652))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__greaterThanAtMost ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__greaterThanAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u8653, _u8654))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__greaterThanAtMost__int ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__greaterThanAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u8655, _u8656))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__greaterThanLessThan__int ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__greaterThanLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u8657, _u8658))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__greaterThanLessThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__greaterThanLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u8659, _u8660))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__insert__left ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__insert__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8661, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8661), _u8662), _u8663)), _u8664) = hAPP(hAPP(c_Set_Oinsert(_u8661), _u8662), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8661, tc_HOL_Obool)), _u8663), _u8664))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__insert__right ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__insert__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8665, tc_HOL_Obool)), _u8666), hAPP(hAPP(c_Set_Oinsert(_u8665), _u8667), _u8668)) = hAPP(hAPP(c_Set_Oinsert(_u8665), _u8667), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8665, tc_HOL_Obool)), _u8666), _u8668))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8674)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8669), _u8674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8669), skolem162(_u8674))) )).
% 27.68/27.88 cnf(fact_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8675)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem163(_u8675, _u8672)), _u8675)) )).
% 27.68/27.88 cnf(fact_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem163(_u8675, _u8672)), _u8672)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_insert__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8676, tc_HOL_Obool)), _u8677), _u8678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8676, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8676), _u8679), _u8677)), hAPP(hAPP(c_Set_Oinsert(_u8676), _u8679), _u8678))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_subset__insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8680, tc_HOL_Obool)), _u8681), _u8682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8680, tc_HOL_Obool)), _u8681), hAPP(hAPP(c_Set_Oinsert(_u8680), _u8683), _u8682))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_subset__insertI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8684, tc_HOL_Obool)), _u8685), hAPP(hAPP(c_Set_Oinsert(_u8684), _u8686), _u8685))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__nat__set__iff__bounded ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__nat__set__iff__bounded-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8692)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8687), _u8692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8687), skolem164(_u8692))) )).
% 27.68/27.88 cnf(fact_finite__nat__set__iff__bounded-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8693)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem165(_u8693, _u8690)), _u8693)) )).
% 27.68/27.88 cnf(fact_finite__nat__set__iff__bounded-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8693)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem165(_u8693, _u8690)), _u8690)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_insert__absorb2-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8694), _u8695), hAPP(hAPP(c_Set_Oinsert(_u8694), _u8695), _u8696)) = hAPP(hAPP(c_Set_Oinsert(_u8694), _u8695), _u8696)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_insert__commute-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8697), _u8698), hAPP(hAPP(c_Set_Oinsert(_u8697), _u8699), _u8700)) = hAPP(hAPP(c_Set_Oinsert(_u8697), _u8699), hAPP(hAPP(c_Set_Oinsert(_u8697), _u8698), _u8700))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_insert__code-1, axiom, ( ( _u8707 = _u8711) | hBOOL(hAPP(_u8709, _u8711)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u8705), _u8707), _u8709), _u8711)) )).
% 27.68/27.88 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u8706), _u8708), _u8710), _u8712)) | ( _u8708 != _u8712) )).
% 27.68/27.88 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u8706), _u8708), _u8710), _u8712)) | ~hBOOL(hAPP(_u8710, _u8712)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__insert ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__insert-1, axiom, ( ( hAPP(c_Set_Oimage(_u8713, _u8714, _u8715), hAPP(hAPP(c_Set_Oinsert(_u8713), _u8716), _u8717)) = hAPP(hAPP(c_Set_Oinsert(_u8714), hAPP(_u8715, _u8716)), hAPP(c_Set_Oimage(_u8713, _u8714, _u8715), _u8717))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__nat__int__set__relations_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_transfer__nat__int__set__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8719)) | 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)), _u8719))) )).
% 27.68/27.88 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)), _u8720))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8720)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_transfer__int__nat__set__relations_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_transfer__int__nat__set__relations_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8721) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8721)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8721))) )).
% 27.68/27.88 cnf(fact_transfer__int__nat__set__relations_I1_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8721) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8721))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8721)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum_Oinfinite ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8722) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8723), _u8724)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8723, _u8722), _u8725), _u8724) = c_Groups_Ozero__class_Ozero(_u8722)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__infinite ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8726) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8727), _u8728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8727, _u8726), _u8729), _u8728) = c_Groups_Ozero__class_Ozero(_u8726)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_lessThan__Suc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_lessThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8730)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8730), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8730))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atMost__Suc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atMost__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8731)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8731)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8731))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__eq__0__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__eq__0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8734), _u8735)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8734, tc_Nat_Onat), _u8736), _u8735) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8734), _u8732), _u8735)) | ( hAPP(_u8736, _u8732) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.88 cnf(fact_setsum__eq__0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8734), _u8735)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8734, tc_Nat_Onat), _u8736), _u8735) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u8734), skolem166(_u8736, _u8735, _u8734)), _u8735)) )).
% 27.68/27.88 cnf(fact_setsum__eq__0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8734), _u8735)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8734, tc_Nat_Onat), _u8736), _u8735) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u8736, skolem166(_u8736, _u8735, _u8734)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__insert ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8737, tc_fun(_u8738, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8737), _u8739), _u8740)), _u8741) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8738, tc_HOL_Obool)), hAPP(_u8741, _u8739)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8737, tc_fun(_u8738, tc_HOL_Obool)), _u8740), _u8741))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum_Odistrib ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8742) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8743), _u8744)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8743, _u8742), hAPP(hAPP(c_COMBS(_u8743, _u8742, _u8742), hAPP(hAPP(c_COMBB(_u8742, tc_fun(_u8742, _u8742), _u8743), c_Groups_Oplus__class_Oplus(_u8742)), _u8745)), _u8746)), _u8744) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8742), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8743, _u8742), _u8745), _u8744)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8743, _u8742), _u8746), _u8744))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 27.68/27.88 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)), _u8747))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastAtMostSuc__conv ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastAtMostSuc__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8748), hAPP(c_Nat_OSuc, _u8749))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8748, hAPP(c_Nat_OSuc, _u8749)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8749)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8748, _u8749))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__eq__Suc0__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__eq__Suc0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8754), _u8755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8754, tc_Nat_Onat), _u8756), _u8755) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u8754), skolem167(_u8756, _u8755, _u8754)), _u8755)) )).
% 27.68/27.88 cnf(fact_setsum__eq__Suc0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8754), _u8755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8754, tc_Nat_Onat), _u8756), _u8755) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u8756, skolem167(_u8756, _u8755, _u8754)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.88 cnf(fact_setsum__eq__Suc0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8754), _u8755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8754, tc_Nat_Onat), _u8756), _u8755) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u8754), _u8750), _u8755)) | ( skolem167(_u8756, _u8755, _u8754) = _u8750) | ( hAPP(_u8756, _u8750) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.88 cnf(fact_setsum__eq__Suc0__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8754), _u8755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8754, tc_Nat_Onat), _u8756), _u8755) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u8754), _u8753), _u8755)) | ( hAPP(_u8756, _u8753) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u8754), skolem168(_u8756, _u8755, _u8754, _u8753)), _u8755)) )).
% 27.68/27.88 cnf(fact_setsum__eq__Suc0__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8754), _u8755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8754, tc_Nat_Onat), _u8756), _u8755) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u8754), _u8753), _u8755)) | ( hAPP(_u8756, _u8753) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8753 != skolem168(_u8756, _u8755, _u8754, _u8753)) )).
% 27.68/27.88 cnf(fact_setsum__eq__Suc0__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8754), _u8755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8754, tc_Nat_Onat), _u8756), _u8755) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u8754), _u8753), _u8755)) | ( hAPP(_u8756, _u8753) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u8756, skolem168(_u8756, _u8755, _u8754, _u8753)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__eq__1__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8761), _u8762)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8761, tc_Nat_Onat), _u8763), _u8762) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u8761), skolem169(_u8763, _u8762, _u8761)), _u8762)) )).
% 27.68/27.88 cnf(fact_setsum__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8761), _u8762)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8761, tc_Nat_Onat), _u8763), _u8762) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u8763, skolem169(_u8763, _u8762, _u8761)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.88 cnf(fact_setsum__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8761), _u8762)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8761, tc_Nat_Onat), _u8763), _u8762) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8761), _u8757), _u8762)) | ( skolem169(_u8763, _u8762, _u8761) = _u8757) | ( hAPP(_u8763, _u8757) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.88 cnf(fact_setsum__eq__1__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8761), _u8762)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8761, tc_Nat_Onat), _u8763), _u8762) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8761), _u8760), _u8762)) | ( hAPP(_u8763, _u8760) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u8761), skolem170(_u8763, _u8762, _u8761, _u8760)), _u8762)) )).
% 27.68/27.88 cnf(fact_setsum__eq__1__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8761), _u8762)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8761, tc_Nat_Onat), _u8763), _u8762) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8761), _u8760), _u8762)) | ( hAPP(_u8763, _u8760) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u8760 != skolem170(_u8763, _u8762, _u8761, _u8760)) )).
% 27.68/27.88 cnf(fact_setsum__eq__1__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8761), _u8762)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8761, tc_Nat_Onat), _u8763), _u8762) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8761), _u8760), _u8762)) | ( hAPP(_u8763, _u8760) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u8763, skolem170(_u8763, _u8762, _u8761, _u8760)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_type__definition_ORep__inject ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_type__definition_ORep__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u8764, _u8765, _u8766, _u8767, _u8768) | ( hAPP(_u8766, _u8769) != hAPP(_u8766, _u8770)) | ( _u8769 = _u8770) )).
% 27.68/27.88 cnf(fact_type__definition_ORep__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u8764, _u8765, _u8766, _u8767, _u8768) | ( _u8769 != _u8770) | ( hAPP(_u8766, _u8769) = hAPP(_u8766, _u8770)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_type__definition_ORep__inverse ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_type__definition_ORep__inverse-1, axiom, ( ( hAPP(_u8774, hAPP(_u8773, _u8776)) = _u8776) | ~c_Typedef_Otype__definition(_u8771, _u8772, _u8773, _u8774, _u8775) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__diff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__diff-1, axiom, ( ~class_Groups_Oab__group__add(_u8777) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8778), _u8779)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8778, tc_HOL_Obool)), _u8780), _u8779)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8778, _u8777), _u8781), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8778, tc_HOL_Obool)), _u8779), _u8780)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8777), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8778, _u8777), _u8781), _u8779)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8778, _u8777), _u8781), _u8780))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__psubset ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__psubset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8782), _u8783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8782, tc_HOL_Obool)), _u8784), _u8783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8782), _u8784)), hAPP(c_Finite__Set_Ocard(_u8782), _u8783))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8782, tc_HOL_Obool)), _u8784), _u8783)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_diff__card__le__card__Diff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_diff__card__le__card__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8785), _u8786)) | 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(_u8785), _u8787)), hAPP(c_Finite__Set_Ocard(_u8785), _u8786))), hAPP(c_Finite__Set_Ocard(_u8785), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8785, tc_HOL_Obool)), _u8787), _u8786)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__Diff__subset ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__Diff__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8788), _u8789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8788, tc_HOL_Obool)), _u8789), _u8790)) | ( hAPP(c_Finite__Set_Ocard(_u8788), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8788, tc_HOL_Obool)), _u8790), _u8789)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8788), _u8790)), hAPP(c_Finite__Set_Ocard(_u8788), _u8789))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__Diff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8791), _u8792)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8791), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8791, tc_HOL_Obool)), _u8792), _u8793))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite_OinsertI ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8794), _u8795)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8794), hAPP(hAPP(c_Set_Oinsert(_u8794), _u8796), _u8795))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__imageI ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8797), _u8798)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8799), hAPP(c_Set_Oimage(_u8797, _u8799, _u8800), _u8798))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_infinite__UNIV__int ( axiom ) converted to clauses:
% 27.68/27.88 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)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UNIV__option__conv ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UNIV__option__conv-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u8801), tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(_u8801)), c_Option_Ooption_ONone(_u8801)), hAPP(c_Set_Oimage(_u8801, tc_Option_Ooption(_u8801), c_Option_Ooption_OSome(_u8801)), c_Orderings_Otop__class_Otop(tc_fun(_u8801, tc_HOL_Obool))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite-1, axiom, ( ~class_Finite__Set_Ofinite(_u8802) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8802), _u8803)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__code ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__code-1, axiom, ( ~class_Finite__Set_Ofinite(_u8804) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8804), _u8805)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__UNIV__unit ( axiom ) converted to clauses:
% 27.68/27.88 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)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_infinite__UNIV__nat ( axiom ) converted to clauses:
% 27.68/27.88 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)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__insert ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8809), hAPP(hAPP(c_Set_Oinsert(_u8809), _u8811), _u8813))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8809), _u8813)) )).
% 27.68/27.88 cnf(fact_finite__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8810), _u8814)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8810), hAPP(hAPP(c_Set_Oinsert(_u8810), _u8812), _u8814))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__subset ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8815, tc_HOL_Obool)), _u8816), _u8817)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8815), _u8817)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8815), _u8816)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_rev__finite__subset ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8818), _u8819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8818, tc_HOL_Obool)), _u8820), _u8819)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8818), _u8820)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__UNIV ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__UNIV-1, axiom, ( ~class_Finite__Set_Ofinite(_u8821) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8821), c_Orderings_Otop__class_Otop(tc_fun(_u8821, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__option__UNIV ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__option__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u8823)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u8823), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8823), c_Orderings_Otop__class_Otop(tc_fun(_u8823, tc_HOL_Obool)))) )).
% 27.68/27.88 cnf(fact_finite__option__UNIV-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8824), c_Orderings_Otop__class_Otop(tc_fun(_u8824, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u8824)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u8824), tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__Plus__UNIV__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__Plus__UNIV__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8827, _u8829)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u8827, _u8829), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8827), c_Orderings_Otop__class_Otop(tc_fun(_u8827, tc_HOL_Obool)))) )).
% 27.68/27.88 cnf(fact_finite__Plus__UNIV__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8827, _u8829)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u8827, _u8829), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8829), c_Orderings_Otop__class_Otop(tc_fun(_u8829, tc_HOL_Obool)))) )).
% 27.68/27.88 cnf(fact_finite__Plus__UNIV__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8828), c_Orderings_Otop__class_Otop(tc_fun(_u8828, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8830), c_Orderings_Otop__class_Otop(tc_fun(_u8830, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8828, _u8830)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u8828, _u8830), tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__fun__UNIVD2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__fun__UNIVD2-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8832), c_Orderings_Otop__class_Otop(tc_fun(_u8832, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u8831, _u8832)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u8831, _u8832), tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__Prod__UNIV ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__Prod__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8833), c_Orderings_Otop__class_Otop(tc_fun(_u8833, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8834), c_Orderings_Otop__class_Otop(tc_fun(_u8834, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u8833, _u8834)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u8833, _u8834), tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__UnI ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__UnI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8835), _u8836)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8835), _u8837)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8835), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8835, tc_HOL_Obool)), _u8836), _u8837))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__Un ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__Un-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8841), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8841, tc_HOL_Obool)), _u8843), _u8845))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8841), _u8843)) )).
% 27.68/27.88 cnf(fact_finite__Un-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8841), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8841, tc_HOL_Obool)), _u8843), _u8845))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8841), _u8845)) )).
% 27.68/27.88 cnf(fact_finite__Un-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8842), _u8844)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8842), _u8846)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8842), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8842, tc_HOL_Obool)), _u8844), _u8846))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__Diff2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__Diff2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8847), _u8848)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8847), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8847, tc_HOL_Obool)), _u8849), _u8848))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8847), _u8849)) )).
% 27.68/27.88 cnf(fact_finite__Diff2-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8847), _u8848)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8847), _u8849)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8847), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8847, tc_HOL_Obool)), _u8849), _u8848))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__UN ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__UN-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8852), _u8853)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8854), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8852, tc_fun(_u8854, tc_HOL_Obool)), _u8853), _u8855))) | ~hBOOL(hAPP(hAPP(c_member(_u8852), _u8850), _u8853)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8854), hAPP(_u8855, _u8850))) )).
% 27.68/27.88 cnf(fact_finite__UN-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8852), _u8853)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8854), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8852, tc_fun(_u8854, tc_HOL_Obool)), _u8853), _u8855))) | hBOOL(hAPP(hAPP(c_member(_u8852), skolem171(_u8855, _u8854, _u8853, _u8852)), _u8853)) )).
% 27.68/27.88 cnf(fact_finite__UN-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8852), _u8853)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8854), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8852, tc_fun(_u8854, tc_HOL_Obool)), _u8853), _u8855))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8854), hAPP(_u8855, skolem171(_u8855, _u8854, _u8853, _u8852)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__surj ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8856), _u8857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8858, tc_HOL_Obool)), _u8859), hAPP(c_Set_Oimage(_u8856, _u8858, _u8860), _u8857))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8858), _u8859)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__Diff__insert ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8865), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8865, tc_HOL_Obool)), _u8867), hAPP(hAPP(c_Set_Oinsert(_u8865), _u8869), _u8871)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8865), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8865, tc_HOL_Obool)), _u8867), _u8871))) )).
% 27.68/27.88 cnf(fact_finite__Diff__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8866), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8866, tc_HOL_Obool)), _u8868), _u8872))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8866), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8866, tc_HOL_Obool)), _u8868), hAPP(hAPP(c_Set_Oinsert(_u8866), _u8870), _u8872)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__infinite ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8873), _u8874)) | ( hAPP(c_Finite__Set_Ocard(_u8873), _u8874) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__eq__UNIV__imp__eq__UNIV ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__eq__UNIV__imp__eq__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8875), c_Orderings_Otop__class_Otop(tc_fun(_u8875, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u8875), _u8876) != hAPP(c_Finite__Set_Ocard(_u8875), c_Orderings_Otop__class_Otop(tc_fun(_u8875, tc_HOL_Obool)))) | ( _u8876 = c_Orderings_Otop__class_Otop(tc_fun(_u8875, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__compl ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__compl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), _u8878)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8877, tc_HOL_Obool)), _u8878))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), c_Orderings_Otop__class_Otop(tc_fun(_u8877, tc_HOL_Obool)))) )).
% 27.68/27.88 cnf(fact_finite__compl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), _u8878)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), c_Orderings_Otop__class_Otop(tc_fun(_u8877, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8877, tc_HOL_Obool)), _u8878))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__range__imageI ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__range__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8879), hAPP(c_Set_Oimage(_u8880, _u8879, _u8881), c_Orderings_Otop__class_Otop(tc_fun(_u8880, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8882), hAPP(c_Set_Oimage(_u8880, _u8882, hAPP(hAPP(c_COMBB(_u8879, _u8882, _u8880), _u8883), _u8881)), c_Orderings_Otop__class_Otop(tc_fun(_u8880, tc_HOL_Obool))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__ge__0__finite ( axiom ) converted to clauses:
% 27.68/27.88 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(_u8884), _u8885))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8884), _u8885)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__insert__le ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__insert__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), _u8887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8886), _u8887)), hAPP(c_Finite__Set_Ocard(_u8886), hAPP(hAPP(c_Set_Oinsert(_u8886), _u8888), _u8887)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__mono ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8889), _u8890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8889, tc_HOL_Obool)), _u8891), _u8890)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8889), _u8891)), hAPP(c_Finite__Set_Ocard(_u8889), _u8890))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__seteq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__seteq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8892), _u8893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8892, tc_HOL_Obool)), _u8894), _u8893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8892), _u8893)), hAPP(c_Finite__Set_Ocard(_u8892), _u8894))) | ( _u8894 = _u8893) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__image__le ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__image__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8895), _u8896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8897), hAPP(c_Set_Oimage(_u8895, _u8897, _u8898), _u8896))), hAPP(c_Finite__Set_Ocard(_u8895), _u8896))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_psubset__card__mono ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_psubset__card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8899), _u8900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8899, tc_HOL_Obool)), _u8901), _u8900)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8899), _u8901)), hAPP(c_Finite__Set_Ocard(_u8899), _u8900))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__UNIV__card__ge__0 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__UNIV__card__ge__0-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8902), c_Orderings_Otop__class_Otop(tc_fun(_u8902, 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(_u8902), c_Orderings_Otop__class_Otop(tc_fun(_u8902, tc_HOL_Obool))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__fun__UNIVD1 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__fun__UNIVD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u8903, _u8904)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u8903, _u8904), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u8904), c_Orderings_Otop__class_Otop(tc_fun(_u8904, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8903), c_Orderings_Otop__class_Otop(tc_fun(_u8903, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__minus__const__atLeastLessThan__nat ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__minus__const__atLeastLessThan__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8908), _u8910)) | ( 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)), _u8908)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8912), _u8910)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8912), _u8908)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8910), _u8908))) )).
% 27.68/27.88 cnf(fact_image__minus__const__atLeastLessThan__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8909), _u8911)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8913), _u8911)) | ( 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)), _u8909)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8913), _u8911)) = 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)))) )).
% 27.68/27.88 cnf(fact_image__minus__const__atLeastLessThan__nat-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8909), _u8911)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8913), _u8911)) | ( 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)), _u8909)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8913), _u8911)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__mono3 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__mono3-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8915) | ~class_Groups_Oordered__ab__semigroup__add(_u8915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8916), _u8917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8916, tc_HOL_Obool)), _u8918), _u8917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8915), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8916, _u8915), _u8919), _u8918)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8916, _u8915), _u8919), _u8917))) | hBOOL(hAPP(hAPP(c_member(_u8916), skolem172(_u8919, _u8918, _u8917, _u8916, _u8915)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8916, tc_HOL_Obool)), _u8917), _u8918))) )).
% 27.68/27.88 cnf(fact_setsum__mono3-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8915) | ~class_Groups_Oordered__ab__semigroup__add(_u8915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8916), _u8917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8916, tc_HOL_Obool)), _u8918), _u8917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8915), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8916, _u8915), _u8919), _u8918)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8916, _u8915), _u8919), _u8917))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8915), c_Groups_Ozero__class_Ozero(_u8915)), hAPP(_u8919, skolem172(_u8919, _u8918, _u8917, _u8916, _u8915)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__Plus__conv__if ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__Plus__conv__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8924), _u8926)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8928), _u8930)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8924, _u8928)), c_Sum__Type_OPlus(_u8924, _u8928, _u8926, _u8930)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8924), _u8926)), hAPP(c_Finite__Set_Ocard(_u8928), _u8930))) )).
% 27.68/27.88 cnf(fact_card__Plus__conv__if-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8925, _u8929)), c_Sum__Type_OPlus(_u8925, _u8929, _u8927, _u8931)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8925), _u8927)) )).
% 27.68/27.88 cnf(fact_card__Plus__conv__if-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8925, _u8929)), c_Sum__Type_OPlus(_u8925, _u8929, _u8927, _u8931)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8929), _u8931)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite_OemptyI ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8932), c_Orderings_Obot__class_Obot(tc_fun(_u8932, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_empty__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8933, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8933, tc_HOL_Obool))), _u8934)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite_Oequations_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8935), c_Orderings_Obot__class_Obot(tc_fun(_u8935, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u8936, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u8936), _u8937), _u8938)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_insert__not__empty-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8939), _u8940), _u8941) != c_Orderings_Obot__class_Obot(tc_fun(_u8939, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_doubleton__eq__iff-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8947), _u8949), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8951), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8947), _u8953), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8955), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool))))) | ( _u8949 = _u8953) | ( _u8949 = _u8955) )).
% 27.68/27.88 cnf(fact_doubleton__eq__iff-2, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8947), _u8949), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8951), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8947), _u8953), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8955), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool))))) | ( _u8949 = _u8953) | ( _u8951 = _u8953) )).
% 27.68/27.88 cnf(fact_doubleton__eq__iff-3, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8947), _u8949), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8951), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8947), _u8953), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8955), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool))))) | ( _u8951 = _u8955) | ( _u8949 = _u8955) )).
% 27.68/27.88 cnf(fact_doubleton__eq__iff-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8947), _u8949), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8951), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8947), _u8953), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8955), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool))))) | ( _u8951 = _u8955) | ( _u8951 = _u8953) )).
% 27.68/27.88 cnf(fact_doubleton__eq__iff-5, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8948), _u8950), hAPP(hAPP(c_Set_Oinsert(_u8948), _u8952), c_Orderings_Obot__class_Obot(tc_fun(_u8948, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u8948), _u8954), hAPP(hAPP(c_Set_Oinsert(_u8948), _u8956), c_Orderings_Obot__class_Obot(tc_fun(_u8948, tc_HOL_Obool))))) | ( _u8950 != _u8954) | ( _u8952 != _u8956) )).
% 27.68/27.88 cnf(fact_doubleton__eq__iff-6, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8948), _u8950), hAPP(hAPP(c_Set_Oinsert(_u8948), _u8952), c_Orderings_Obot__class_Obot(tc_fun(_u8948, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u8948), _u8954), hAPP(hAPP(c_Set_Oinsert(_u8948), _u8956), c_Orderings_Obot__class_Obot(tc_fun(_u8948, tc_HOL_Obool))))) | ( _u8950 != _u8956) | ( _u8952 != _u8954) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_singleton__inject-1, axiom, ( ( _u8958 = _u8959) | ( hAPP(hAPP(c_Set_Oinsert(_u8957), _u8958), c_Orderings_Obot__class_Obot(tc_fun(_u8957, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u8957), _u8959), c_Orderings_Obot__class_Obot(tc_fun(_u8957, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__empty-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8963, tc_HOL_Obool)), _u8965), _u8967) != c_Orderings_Obot__class_Obot(tc_fun(_u8963, tc_HOL_Obool))) | ( _u8965 = c_Orderings_Obot__class_Obot(tc_fun(_u8963, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_Un__empty-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8963, tc_HOL_Obool)), _u8965), _u8967) != c_Orderings_Obot__class_Obot(tc_fun(_u8963, tc_HOL_Obool))) | ( _u8967 = c_Orderings_Obot__class_Obot(tc_fun(_u8963, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_Un__empty-3, axiom, ( ( _u8966 != c_Orderings_Obot__class_Obot(tc_fun(_u8964, tc_HOL_Obool))) | ( _u8968 != c_Orderings_Obot__class_Obot(tc_fun(_u8964, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8964, tc_HOL_Obool)), _u8966), _u8968) = c_Orderings_Obot__class_Obot(tc_fun(_u8964, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__empty__right ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8969, tc_HOL_Obool)), _u8970), c_Orderings_Obot__class_Obot(tc_fun(_u8969, tc_HOL_Obool))) = _u8970) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Un__empty__left ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Un__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8971, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8971, tc_HOL_Obool))), _u8972) = _u8972) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_subset__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_subset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8975, tc_HOL_Obool)), _u8977), c_Orderings_Obot__class_Obot(tc_fun(_u8975, tc_HOL_Obool)))) | ( _u8977 = c_Orderings_Obot__class_Obot(tc_fun(_u8975, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_subset__empty-2, axiom, ( ( _u8978 != c_Orderings_Obot__class_Obot(tc_fun(_u8976, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8976, tc_HOL_Obool)), _u8978), c_Orderings_Obot__class_Obot(tc_fun(_u8976, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u8979) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8980, _u8979)), _u8981) = c_Orderings_Obot__class_Obot(_u8979)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u8982) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8983, _u8982)), _u8984) = c_Orderings_Obot__class_Obot(_u8982)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Plus__eq__empty__conv ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Plus__eq__empty__conv-1, axiom, ( ( c_Sum__Type_OPlus(_u8989, _u8991, _u8993, _u8995) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u8989, _u8991), tc_HOL_Obool))) | ( _u8993 = c_Orderings_Obot__class_Obot(tc_fun(_u8989, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_Plus__eq__empty__conv-2, axiom, ( ( c_Sum__Type_OPlus(_u8989, _u8991, _u8993, _u8995) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u8989, _u8991), tc_HOL_Obool))) | ( _u8995 = c_Orderings_Obot__class_Obot(tc_fun(_u8991, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_Plus__eq__empty__conv-3, axiom, ( ( _u8994 != c_Orderings_Obot__class_Obot(tc_fun(_u8990, tc_HOL_Obool))) | ( _u8996 != c_Orderings_Obot__class_Obot(tc_fun(_u8992, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u8990, _u8992, _u8994, _u8996) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u8990, _u8992), tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_empty__Diff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_empty__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8997, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8997, tc_HOL_Obool))), _u8998) = c_Orderings_Obot__class_Obot(tc_fun(_u8997, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Diff__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Diff__empty-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8999, tc_HOL_Obool)), _u9000), c_Orderings_Obot__class_Obot(tc_fun(_u8999, tc_HOL_Obool))) = _u9000) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Diff__cancel ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9001, tc_HOL_Obool)), _u9002), _u9002) = c_Orderings_Obot__class_Obot(tc_fun(_u9001, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__is__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__is__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u9007, _u9009, _u9011), _u9013) != c_Orderings_Obot__class_Obot(tc_fun(_u9009, tc_HOL_Obool))) | ( _u9013 = c_Orderings_Obot__class_Obot(tc_fun(_u9007, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_image__is__empty-2, axiom, ( ( _u9014 != c_Orderings_Obot__class_Obot(tc_fun(_u9008, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u9008, _u9010, _u9012), _u9014) = c_Orderings_Obot__class_Obot(tc_fun(_u9010, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u9015, _u9016, _u9017), c_Orderings_Obot__class_Obot(tc_fun(_u9015, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9016, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_empty__is__image ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_empty__is__image-1, axiom, ( ( _u9028 = c_Orderings_Obot__class_Obot(tc_fun(_u9024, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9022, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u9024, _u9022, _u9026), _u9028)) )).
% 27.68/27.88 cnf(fact_empty__is__image-2, axiom, ( ( _u9029 != c_Orderings_Obot__class_Obot(tc_fun(_u9025, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9023, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u9025, _u9023, _u9027), _u9029)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_not__psubset__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_not__psubset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9030, tc_HOL_Obool)), _u9031), c_Orderings_Obot__class_Obot(tc_fun(_u9030, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UNIV__not__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UNIV__not__empty-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9032, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u9032, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_bot__least ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_bot__least-1, axiom, ( ~class_Orderings_Obot(_u9033) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9033), c_Orderings_Obot__class_Obot(_u9033)), _u9034)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_SUP__const ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_SUP__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9035) | ( _u9036 = c_Orderings_Obot__class_Obot(tc_fun(_u9037, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9037, _u9035), _u9036), hAPP(c_COMBK(_u9035, _u9037), _u9038)) = _u9038) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UNION__empty__conv_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UNION__empty__conv_I1_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9045, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9047, tc_fun(_u9045, tc_HOL_Obool)), _u9049), _u9051)) | ~hBOOL(hAPP(hAPP(c_member(_u9047), _u9039), _u9049)) | ( hAPP(_u9051, _u9039) = c_Orderings_Obot__class_Obot(tc_fun(_u9045, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_UNION__empty__conv_I1_J-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9046, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9048, tc_fun(_u9046, tc_HOL_Obool)), _u9050), _u9052)) | hBOOL(hAPP(hAPP(c_member(_u9048), skolem173(_u9052, _u9050, _u9048, _u9046)), _u9050)) )).
% 27.68/27.88 cnf(fact_UNION__empty__conv_I1_J-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9046, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9048, tc_fun(_u9046, tc_HOL_Obool)), _u9050), _u9052)) | ( hAPP(_u9052, skolem173(_u9052, _u9050, _u9048, _u9046)) != c_Orderings_Obot__class_Obot(tc_fun(_u9046, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__empty2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__empty2-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9053, tc_fun(_u9054, tc_HOL_Obool)), _u9055), hAPP(c_COMBK(tc_fun(_u9054, tc_HOL_Obool), _u9053), c_Orderings_Obot__class_Obot(tc_fun(_u9054, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9054, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__constant ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__constant-1, axiom, ( ( _u9060 != c_Orderings_Obot__class_Obot(tc_fun(_u9062, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9062, tc_fun(_u9064, tc_HOL_Obool)), _u9060), hAPP(c_COMBK(tc_fun(_u9064, tc_HOL_Obool), _u9062), _u9066)) = c_Orderings_Obot__class_Obot(tc_fun(_u9064, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_UN__constant-2, axiom, ( ( _u9061 = c_Orderings_Obot__class_Obot(tc_fun(_u9063, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9063, tc_fun(_u9065, tc_HOL_Obool)), _u9061), hAPP(c_COMBK(tc_fun(_u9065, tc_HOL_Obool), _u9063), _u9067)) = _u9067) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UNION__empty__conv_I2_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UNION__empty__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9074, tc_fun(_u9076, tc_HOL_Obool)), _u9078), _u9080) != c_Orderings_Obot__class_Obot(tc_fun(_u9076, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9074), _u9068), _u9078)) | ( hAPP(_u9080, _u9068) = c_Orderings_Obot__class_Obot(tc_fun(_u9076, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_UNION__empty__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9075, tc_fun(_u9077, tc_HOL_Obool)), _u9079), _u9081) = c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9075), skolem174(_u9081, _u9079, _u9077, _u9075)), _u9079)) )).
% 27.68/27.88 cnf(fact_UNION__empty__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9075, tc_fun(_u9077, tc_HOL_Obool)), _u9079), _u9081) = c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))) | ( hAPP(_u9081, skolem174(_u9081, _u9079, _u9077, _u9075)) != c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__bot__left ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u9082) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9082), c_Orderings_Obot__class_Obot(_u9082)), _u9083) = _u9083) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__bot__right ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u9084) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9084), _u9085), c_Orderings_Obot__class_Obot(_u9084)) = _u9085) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_sup__eq__bot__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_sup__eq__bot__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u9086) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9086), _u9087), _u9088) != c_Orderings_Obot__class_Obot(_u9086)) | ( _u9087 = c_Orderings_Obot__class_Obot(_u9086)) )).
% 27.68/27.88 cnf(fact_sup__eq__bot__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u9086) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9086), _u9087), _u9088) != c_Orderings_Obot__class_Obot(_u9086)) | ( _u9088 = c_Orderings_Obot__class_Obot(_u9086)) )).
% 27.68/27.88 cnf(fact_sup__eq__bot__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u9086) | ( _u9087 != c_Orderings_Obot__class_Obot(_u9086)) | ( _u9088 != c_Orderings_Obot__class_Obot(_u9086)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9086), _u9087), _u9088) = c_Orderings_Obot__class_Obot(_u9086)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__Plus__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__Plus__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9093, _u9095)), c_Sum__Type_OPlus(_u9093, _u9095, _u9097, _u9099))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9093), _u9097)) )).
% 27.68/27.88 cnf(fact_finite__Plus__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9093, _u9095)), c_Sum__Type_OPlus(_u9093, _u9095, _u9097, _u9099))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9095), _u9099)) )).
% 27.68/27.88 cnf(fact_finite__Plus__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9094), _u9098)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9096), _u9100)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9094, _u9096)), c_Sum__Type_OPlus(_u9094, _u9096, _u9098, _u9100))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__Plus ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9101), _u9102)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9103), _u9104)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9101, _u9103)), c_Sum__Type_OPlus(_u9101, _u9103, _u9102, _u9104))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__PlusD_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__PlusD_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9105, _u9106)), c_Sum__Type_OPlus(_u9105, _u9106, _u9107, _u9108))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9105), _u9107)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_finite__PlusD_I2_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_finite__PlusD_I2_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9110), _u9112)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9109, _u9110)), c_Sum__Type_OPlus(_u9109, _u9110, _u9111, _u9112))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UNIV__Plus__UNIV ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UNIV__Plus__UNIV-1, axiom, ( ( c_Sum__Type_OPlus(_u9113, _u9114, c_Orderings_Otop__class_Otop(tc_fun(_u9113, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9114, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u9113, _u9114), tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum_Oempty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9115) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9116, _u9115), _u9117), c_Orderings_Obot__class_Obot(tc_fun(_u9116, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u9115)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9118) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9119, _u9118), _u9120), c_Orderings_Obot__class_Obot(tc_fun(_u9119, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u9118)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_subset__singletonD ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_subset__singletonD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9121, tc_HOL_Obool)), _u9122), hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))))) | ( _u9122 = c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))) | ( _u9122 = hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_insert__is__Un ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_insert__is__Un-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u9124), _u9125), _u9126) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9124, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9124), _u9125), c_Orderings_Obot__class_Obot(tc_fun(_u9124, tc_HOL_Obool)))), _u9126)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastatMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u9127) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9127, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u9127, _u9128, _u9129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9127), _u9128), _u9129)) )).
% 27.68/27.88 cnf(fact_atLeastatMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u9127) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9127), _u9128), _u9129)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9127, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9127, _u9128, _u9129)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastatMost__empty__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastatMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u9130) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9130, _u9131, _u9132) != c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9130), _u9131), _u9132)) )).
% 27.68/27.88 cnf(fact_atLeastatMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u9130) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9130), _u9131), _u9132)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9130, _u9131, _u9132) = c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastatMost__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastatMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u9133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9133), _u9134), _u9135)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9133, _u9135, _u9134) = c_Orderings_Obot__class_Obot(tc_fun(_u9133, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Diff__insert ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Diff__insert-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9136, tc_HOL_Obool)), _u9137), hAPP(hAPP(c_Set_Oinsert(_u9136), _u9138), _u9139)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9136, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9136, tc_HOL_Obool)), _u9137), _u9139)), hAPP(hAPP(c_Set_Oinsert(_u9136), _u9138), c_Orderings_Obot__class_Obot(tc_fun(_u9136, tc_HOL_Obool))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Diff__insert2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Diff__insert2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9140, tc_HOL_Obool)), _u9141), hAPP(hAPP(c_Set_Oinsert(_u9140), _u9142), _u9143)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9140, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9140, tc_HOL_Obool)), _u9141), hAPP(hAPP(c_Set_Oinsert(_u9140), _u9142), c_Orderings_Obot__class_Obot(tc_fun(_u9140, tc_HOL_Obool))))), _u9143)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_insert__Diff__single ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_insert__Diff__single-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u9144), _u9145), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9144, tc_HOL_Obool)), _u9146), hAPP(hAPP(c_Set_Oinsert(_u9144), _u9145), c_Orderings_Obot__class_Obot(tc_fun(_u9144, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u9144), _u9145), _u9146)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastLessThan__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u9147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9147), _u9148), _u9149)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9147, _u9149), _u9148) = c_Orderings_Obot__class_Obot(tc_fun(_u9147, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card_Oempty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card_Oempty-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9150), c_Orderings_Obot__class_Obot(tc_fun(_u9150, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastLessThan__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u9151) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9151, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9151, _u9152), _u9153)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9151), _u9152), _u9153)) )).
% 27.68/27.88 cnf(fact_atLeastLessThan__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u9151) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9151), _u9152), _u9153)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9151, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9151, _u9152), _u9153)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastLessThan__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u9154) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9154, _u9155), _u9156) != c_Orderings_Obot__class_Obot(tc_fun(_u9154, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9154), _u9155), _u9156)) )).
% 27.68/27.88 cnf(fact_atLeastLessThan__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u9154) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9154), _u9155), _u9156)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9154, _u9155), _u9156) = c_Orderings_Obot__class_Obot(tc_fun(_u9154, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Diff__UNIV ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Diff__UNIV-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9157, tc_HOL_Obool)), _u9158), c_Orderings_Otop__class_Otop(tc_fun(_u9157, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9157, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastAtMost__singleton_H-1, axiom, ( ~class_Orderings_Oorder(_u9159) | ( _u9160 != _u9161) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9159, _u9160, _u9161) = hAPP(hAPP(c_Set_Oinsert(_u9159), _u9160), c_Orderings_Obot__class_Obot(tc_fun(_u9159, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastAtMost__singleton__iff-1, axiom, ( ~class_Orderings_Oorder(_u9162) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9162, _u9163, _u9164) != hAPP(hAPP(c_Set_Oinsert(_u9162), _u9165), c_Orderings_Obot__class_Obot(tc_fun(_u9162, tc_HOL_Obool)))) | ( _u9163 = _u9164) )).
% 27.68/27.88 cnf(fact_atLeastAtMost__singleton__iff-2, axiom, ( ~class_Orderings_Oorder(_u9162) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9162, _u9163, _u9164) != hAPP(hAPP(c_Set_Oinsert(_u9162), _u9165), c_Orderings_Obot__class_Obot(tc_fun(_u9162, tc_HOL_Obool)))) | ( _u9164 = _u9165) )).
% 27.68/27.88 cnf(fact_atLeastAtMost__singleton__iff-3, axiom, ( ~class_Orderings_Oorder(_u9162) | ( _u9163 != _u9164) | ( _u9164 != _u9165) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9162, _u9163, _u9164) = hAPP(hAPP(c_Set_Oinsert(_u9162), _u9165), c_Orderings_Obot__class_Obot(tc_fun(_u9162, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastAtMost__singleton ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastAtMost__singleton-1, axiom, ( ~class_Orderings_Oorder(_u9166) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9166, _u9167, _u9167) = hAPP(hAPP(c_Set_Oinsert(_u9166), _u9167), c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_subset__Compl__self__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_subset__Compl__self__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9170, tc_HOL_Obool)), _u9172), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9170, tc_HOL_Obool)), _u9172))) | ( _u9172 = c_Orderings_Obot__class_Obot(tc_fun(_u9170, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_subset__Compl__self__eq-2, axiom, ( ( _u9173 != c_Orderings_Obot__class_Obot(tc_fun(_u9171, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9171, tc_HOL_Obool)), _u9173), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9171, tc_HOL_Obool)), _u9173))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Compl__empty__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Compl__empty__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9174, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u9174, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u9174, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Compl__UNIV__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Compl__UNIV__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9175, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9175, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9175, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastLessThan0 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastLessThan0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9176), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_greaterThanAtMost__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_greaterThanAtMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u9177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9177), _u9178), _u9179)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u9177, _u9179, _u9178) = c_Orderings_Obot__class_Obot(tc_fun(_u9177, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_greaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_greaterThanAtMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u9180) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9180, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u9180, _u9181, _u9182)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9180), _u9181), _u9182)) )).
% 27.68/27.88 cnf(fact_greaterThanAtMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u9180) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9180), _u9181), _u9182)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9180, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9180, _u9181, _u9182)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_greaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_greaterThanAtMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u9183) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u9183, _u9184, _u9185) != c_Orderings_Obot__class_Obot(tc_fun(_u9183, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9183), _u9184), _u9185)) )).
% 27.68/27.88 cnf(fact_greaterThanAtMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u9183) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9183), _u9184), _u9185)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u9183, _u9184, _u9185) = c_Orderings_Obot__class_Obot(tc_fun(_u9183, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_greaterThanLessThan__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_greaterThanLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u9186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9186), _u9187), _u9188)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u9186, _u9188, _u9187) = c_Orderings_Obot__class_Obot(tc_fun(_u9186, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_lessThan__0 ( axiom ) converted to clauses:
% 27.68/27.88 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))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__constant__conv ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__constant__conv-1, axiom, ( ( _u9193 != c_Orderings_Obot__class_Obot(tc_fun(_u9195, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u9195, _u9197, hAPP(c_COMBK(_u9197, _u9195), _u9199)), _u9193) = c_Orderings_Obot__class_Obot(tc_fun(_u9197, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_image__constant__conv-2, axiom, ( ( _u9194 = c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u9196, _u9198, hAPP(c_COMBK(_u9198, _u9196), _u9200)), _u9194) = hAPP(hAPP(c_Set_Oinsert(_u9198), _u9200), c_Orderings_Obot__class_Obot(tc_fun(_u9198, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__simps_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__simps_I1_J-1, axiom, ( ( _u9206 != c_Orderings_Obot__class_Obot(tc_fun(_u9208, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9208, tc_fun(_u9210, tc_HOL_Obool)), _u9206), hAPP(hAPP(c_COMBB(tc_fun(_u9210, tc_HOL_Obool), tc_fun(_u9210, tc_HOL_Obool), _u9208), hAPP(c_Set_Oinsert(_u9210), _u9212)), _u9214)) = c_Orderings_Obot__class_Obot(tc_fun(_u9210, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_UN__simps_I1_J-2, axiom, ( ( _u9207 = c_Orderings_Obot__class_Obot(tc_fun(_u9209, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9209, tc_fun(_u9211, tc_HOL_Obool)), _u9207), hAPP(hAPP(c_COMBB(tc_fun(_u9211, tc_HOL_Obool), tc_fun(_u9211, tc_HOL_Obool), _u9209), hAPP(c_Set_Oinsert(_u9211), _u9213)), _u9215)) = hAPP(hAPP(c_Set_Oinsert(_u9211), _u9213), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9209, tc_fun(_u9211, tc_HOL_Obool)), _u9207), _u9215))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__singleton ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__singleton-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9216, tc_fun(_u9216, tc_HOL_Obool)), _u9217), hAPP(hAPP(c_COMBC(_u9216, tc_fun(_u9216, tc_HOL_Obool), tc_fun(_u9216, tc_HOL_Obool)), c_Set_Oinsert(_u9216)), c_Orderings_Obot__class_Obot(tc_fun(_u9216, tc_HOL_Obool)))) = _u9217) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__extend__simps_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__extend__simps_I1_J-1, axiom, ( ( _u9223 != c_Orderings_Obot__class_Obot(tc_fun(_u9225, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9227), _u9229), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9225, tc_fun(_u9227, tc_HOL_Obool)), _u9223), _u9231)) = hAPP(hAPP(c_Set_Oinsert(_u9227), _u9229), c_Orderings_Obot__class_Obot(tc_fun(_u9227, tc_HOL_Obool)))) )).
% 27.68/27.88 cnf(fact_UN__extend__simps_I1_J-2, axiom, ( ( _u9224 = c_Orderings_Obot__class_Obot(tc_fun(_u9226, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9228), _u9230), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9226, tc_fun(_u9228, tc_HOL_Obool)), _u9224), _u9232)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9226, tc_fun(_u9228, tc_HOL_Obool)), _u9224), hAPP(hAPP(c_COMBB(tc_fun(_u9228, tc_HOL_Obool), tc_fun(_u9228, tc_HOL_Obool), _u9226), hAPP(c_Set_Oinsert(_u9228), _u9230)), _u9232))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_OatLeastatMost__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_OatLeastatMost__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9233), _u9234)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9234), _u9233)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9234, _u9233) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_OatLeastatMost__empty__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_OatLeastatMost__empty__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9237, _u9239) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9237), _u9239)) )).
% 27.68/27.88 cnf(fact_dvd_OatLeastatMost__empty__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9238), _u9240)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9238, _u9240) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_OatLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 27.68/27.88 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), _u9243, _u9245)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9243), _u9245)) )).
% 27.68/27.88 cnf(fact_dvd_OatLeastatMost__empty__iff2-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9244), _u9246)) | ( 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), _u9244, _u9246)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__simps_I3_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__simps_I3_J-1, axiom, ( ( _u9252 != c_Orderings_Obot__class_Obot(tc_fun(_u9254, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9254, tc_fun(_u9256, tc_HOL_Obool)), _u9252), hAPP(hAPP(c_COMBB(tc_fun(_u9256, tc_HOL_Obool), tc_fun(_u9256, tc_HOL_Obool), _u9254), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9256, tc_HOL_Obool)), _u9258)), _u9260)) = c_Orderings_Obot__class_Obot(tc_fun(_u9256, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_UN__simps_I3_J-2, axiom, ( ( _u9253 = c_Orderings_Obot__class_Obot(tc_fun(_u9255, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9255, tc_fun(_u9257, tc_HOL_Obool)), _u9253), hAPP(hAPP(c_COMBB(tc_fun(_u9257, tc_HOL_Obool), tc_fun(_u9257, tc_HOL_Obool), _u9255), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9257, tc_HOL_Obool)), _u9259)), _u9261)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9257, tc_HOL_Obool)), _u9259), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9255, tc_fun(_u9257, tc_HOL_Obool)), _u9253), _u9261))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__simps_I2_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__simps_I2_J-1, axiom, ( ( _u9267 != c_Orderings_Obot__class_Obot(tc_fun(_u9269, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9269, tc_fun(_u9271, tc_HOL_Obool)), _u9267), hAPP(hAPP(c_COMBC(_u9269, tc_fun(_u9271, tc_HOL_Obool), tc_fun(_u9271, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9271, tc_HOL_Obool), tc_fun(tc_fun(_u9271, tc_HOL_Obool), tc_fun(_u9271, tc_HOL_Obool)), _u9269), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9271, tc_HOL_Obool))), _u9273)), _u9275)) = c_Orderings_Obot__class_Obot(tc_fun(_u9271, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_UN__simps_I2_J-2, axiom, ( ( _u9268 = c_Orderings_Obot__class_Obot(tc_fun(_u9270, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9270, tc_fun(_u9272, tc_HOL_Obool)), _u9268), hAPP(hAPP(c_COMBC(_u9270, tc_fun(_u9272, tc_HOL_Obool), tc_fun(_u9272, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9272, tc_HOL_Obool), tc_fun(tc_fun(_u9272, tc_HOL_Obool), tc_fun(_u9272, tc_HOL_Obool)), _u9270), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9272, tc_HOL_Obool))), _u9274)), _u9276)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9272, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9270, tc_fun(_u9272, tc_HOL_Obool)), _u9268), _u9274)), _u9276)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__extend__simps_I3_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__extend__simps_I3_J-1, axiom, ( ( _u9282 != c_Orderings_Obot__class_Obot(tc_fun(_u9284, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9286, tc_HOL_Obool)), _u9288), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9284, tc_fun(_u9286, tc_HOL_Obool)), _u9282), _u9290)) = _u9288) )).
% 27.68/27.88 cnf(fact_UN__extend__simps_I3_J-2, axiom, ( ( _u9283 = c_Orderings_Obot__class_Obot(tc_fun(_u9285, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9287, tc_HOL_Obool)), _u9289), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9285, tc_fun(_u9287, tc_HOL_Obool)), _u9283), _u9291)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9285, tc_fun(_u9287, tc_HOL_Obool)), _u9283), hAPP(hAPP(c_COMBB(tc_fun(_u9287, tc_HOL_Obool), tc_fun(_u9287, tc_HOL_Obool), _u9285), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9287, tc_HOL_Obool)), _u9289)), _u9291))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_UN__extend__simps_I2_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_UN__extend__simps_I2_J-1, axiom, ( ( _u9297 != c_Orderings_Obot__class_Obot(tc_fun(_u9299, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9301, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9299, tc_fun(_u9301, tc_HOL_Obool)), _u9297), _u9303)), _u9305) = _u9305) )).
% 27.68/27.88 cnf(fact_UN__extend__simps_I2_J-2, axiom, ( ( _u9298 = c_Orderings_Obot__class_Obot(tc_fun(_u9300, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9302, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9300, tc_fun(_u9302, tc_HOL_Obool)), _u9298), _u9304)), _u9306) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9300, tc_fun(_u9302, tc_HOL_Obool)), _u9298), hAPP(hAPP(c_COMBC(_u9300, tc_fun(_u9302, tc_HOL_Obool), tc_fun(_u9302, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9302, tc_HOL_Obool), tc_fun(tc_fun(_u9302, tc_HOL_Obool), tc_fun(_u9302, tc_HOL_Obool)), _u9300), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9302, tc_HOL_Obool))), _u9304)), _u9306))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_compl__top__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_compl__top__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u9307) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9307), c_Orderings_Otop__class_Otop(_u9307)) = c_Orderings_Obot__class_Obot(_u9307)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_compl__bot__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_compl__bot__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u9308) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9308), c_Orderings_Obot__class_Obot(_u9308)) = c_Orderings_Otop__class_Otop(_u9308)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__eq__0__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__eq__0__iff-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9311), _u9313) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9313 = c_Orderings_Obot__class_Obot(tc_fun(_u9311, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9311), _u9313)) )).
% 27.68/27.88 cnf(fact_card__eq__0__iff-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9312), _u9314) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9314 != c_Orderings_Obot__class_Obot(tc_fun(_u9312, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_card__eq__0__iff-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9312), _u9314) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9312), _u9314)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_single__Diff__lessThan ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_single__Diff__lessThan-1, axiom, ( ~class_Orderings_Oorder(_u9315) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9315, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9315), _u9316), c_Orderings_Obot__class_Obot(tc_fun(_u9315, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u9315), _u9316)) = hAPP(hAPP(c_Set_Oinsert(_u9315), _u9316), c_Orderings_Obot__class_Obot(tc_fun(_u9315, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_image__eq__UN ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_image__eq__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u9317, _u9318, _u9319), _u9320) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9317, tc_fun(_u9318, tc_HOL_Obool)), _u9320), hAPP(hAPP(c_COMBC(_u9317, tc_fun(_u9318, tc_HOL_Obool), tc_fun(_u9318, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u9318, tc_fun(tc_fun(_u9318, tc_HOL_Obool), tc_fun(_u9318, tc_HOL_Obool)), _u9317), c_Set_Oinsert(_u9318)), _u9319)), c_Orderings_Obot__class_Obot(tc_fun(_u9318, tc_HOL_Obool))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastLessThan__singleton ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastLessThan__singleton-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9321), hAPP(c_Nat_OSuc, _u9321)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9321), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atMost__0 ( axiom ) converted to clauses:
% 27.68/27.88 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)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_OatLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_OatLeastAtMost__singleton__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9325, _u9327) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9329), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9325 = _u9327) )).
% 27.68/27.88 cnf(fact_dvd_OatLeastAtMost__singleton__iff-2, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9325, _u9327) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9329), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9327 = _u9329) )).
% 27.68/27.88 cnf(fact_dvd_OatLeastAtMost__singleton__iff-3, axiom, ( ( _u9326 != _u9328) | ( _u9328 != _u9330) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9326, _u9328) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9330), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_OatLeastAtMost__singleton ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_OatLeastAtMost__singleton-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9331, _u9331) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9331), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_OatLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_OatLeastAtMost__singleton_H-1, axiom, ( ( _u9332 != _u9333) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9332, _u9333) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9332), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Plus__def ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Plus__def-1, axiom, ( ( c_Sum__Type_OPlus(_u9334, _u9335, _u9336, _u9337) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_sum(_u9334, _u9335), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9334, tc_sum(_u9334, _u9335), c_Sum__Type_OInl(_u9334, _u9335)), _u9336)), hAPP(c_Set_Oimage(_u9335, tc_sum(_u9334, _u9335), c_Sum__Type_OInr(_u9335, _u9334)), _u9337))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeast__Suc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeast__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9338)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u9338)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9338), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_greaterThan__Suc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_greaterThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9339)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u9339)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9339)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__gt__0__iff ( axiom ) converted to clauses:
% 27.68/27.88 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(_u9342), _u9344))) | ( _u9344 != c_Orderings_Obot__class_Obot(tc_fun(_u9342, tc_HOL_Obool))) )).
% 27.68/27.88 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(_u9342), _u9344))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9342), _u9344)) )).
% 27.68/27.88 cnf(fact_card__gt__0__iff-3, axiom, ( ( _u9345 = c_Orderings_Obot__class_Obot(tc_fun(_u9343, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9343), _u9345)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u9343), _u9345))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I2_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u9346) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9346, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u9346), _u9347)), hAPP(hAPP(c_Set_Oinsert(_u9346), _u9347), c_Orderings_Obot__class_Obot(tc_fun(_u9346, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u9346), _u9347)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_atLeastLessThanSuc ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_atLeastLessThanSuc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9350), _u9352)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9350), hAPP(c_Nat_OSuc, _u9352)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9352), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9350), _u9352))) )).
% 27.68/27.88 cnf(fact_atLeastLessThanSuc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9351), _u9353)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9351), hAPP(c_Nat_OSuc, _u9353)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u9354) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9354, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9354), _u9355), c_Orderings_Obot__class_Obot(tc_fun(_u9354, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u9354), _u9355)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u9354), _u9355)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__Plus ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9356), _u9357)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9358), _u9359)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u9356, _u9358)), c_Sum__Type_OPlus(_u9356, _u9358, _u9357, _u9359)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9356), _u9357)), hAPP(c_Finite__Set_Ocard(_u9358), _u9359))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_setsum_Oinsert__remove ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_setsum_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9360) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9361), _u9362)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9361, _u9360), _u9363), hAPP(hAPP(c_Set_Oinsert(_u9361), _u9364), _u9362)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9360), hAPP(_u9363, _u9364)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9361, _u9360), _u9363), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9361, tc_HOL_Obool)), _u9362), hAPP(hAPP(c_Set_Oinsert(_u9361), _u9364), c_Orderings_Obot__class_Obot(tc_fun(_u9361, tc_HOL_Obool))))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__insert ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9365), _u9366)) | ( hAPP(c_Finite__Set_Ocard(_u9365), hAPP(hAPP(c_Set_Oinsert(_u9365), _u9367), _u9366)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u9365), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9365, tc_HOL_Obool)), _u9366), hAPP(hAPP(c_Set_Oinsert(_u9365), _u9367), c_Orderings_Obot__class_Obot(tc_fun(_u9365, tc_HOL_Obool))))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card__Diff1__le ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card__Diff1__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9368), _u9369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9368), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9368, tc_HOL_Obool)), _u9369), hAPP(hAPP(c_Set_Oinsert(_u9368), _u9370), c_Orderings_Obot__class_Obot(tc_fun(_u9368, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u9368), _u9369))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I6_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I6_J-1, axiom, ( ~class_Orderings_Olinorder(_u9371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9371), _u9372), _u9373)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9371, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9371, _u9372), _u9373)), hAPP(hAPP(c_Set_Oinsert(_u9371), _u9373), c_Orderings_Obot__class_Obot(tc_fun(_u9371, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u9371, _u9372, _u9373)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I5_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I5_J-1, axiom, ( ~class_Orderings_Olinorder(_u9374) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9374), _u9375), _u9376)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9374, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9374), _u9375), c_Orderings_Obot__class_Obot(tc_fun(_u9374, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9374, _u9375, _u9376)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9374, _u9375, _u9376)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I3_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I3_J-1, axiom, ( ~class_Orderings_Olinorder(_u9377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9377), _u9378), _u9379)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9377, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9377), _u9378), c_Orderings_Obot__class_Obot(tc_fun(_u9377, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9377, _u9378, _u9379)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9377, _u9378), _u9379)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_ivl__disj__un_I4_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_ivl__disj__un_I4_J-1, axiom, ( ~class_Orderings_Olinorder(_u9380) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9380), _u9381), _u9382)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9380, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9380, _u9381, _u9382)), hAPP(hAPP(c_Set_Oinsert(_u9380), _u9382), c_Orderings_Obot__class_Obot(tc_fun(_u9380, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9380, _u9381, _u9382)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_card_Oinsert__remove ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_card_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9383), _u9384)) | ( hAPP(c_Finite__Set_Ocard(_u9383), hAPP(hAPP(c_Set_Oinsert(_u9383), _u9385), _u9384)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u9383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9383, tc_HOL_Obool)), _u9384), hAPP(hAPP(c_Set_Oinsert(_u9383), _u9385), c_Orderings_Obot__class_Obot(tc_fun(_u9383, tc_HOL_Obool))))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_the__elem__def ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_the__elem__def-1, axiom, ( ( c_Set_Othe__elem(_u9386, _u9387) = c_HOL_OThe(_u9386, hAPP(hAPP(c_COMBB(tc_fun(_u9386, tc_HOL_Obool), tc_HOL_Obool, _u9386), hAPP(c_fequal, _u9387)), hAPP(hAPP(c_COMBC(_u9386, tc_fun(_u9386, tc_HOL_Obool), tc_fun(_u9386, tc_HOL_Obool)), c_Set_Oinsert(_u9386)), c_Orderings_Obot__class_Obot(tc_fun(_u9386, tc_HOL_Obool)))))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_dvd_OgreaterThanLessThan__empty ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_dvd_OgreaterThanLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9388), _u9389)) | ( 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)))), _u9389, _u9388) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_the__elem__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_the__elem__eq-1, axiom, ( ( c_Set_Othe__elem(_u9390, hAPP(hAPP(c_Set_Oinsert(_u9390), _u9391), c_Orderings_Obot__class_Obot(tc_fun(_u9390, tc_HOL_Obool)))) = _u9391) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Option_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Option_Oset_Osimps_I2_J-1, axiom, ( ( c_Option_Oset(_u9392, hAPP(c_Option_Ooption_OSome(_u9392), _u9393)) = hAPP(hAPP(c_Set_Oinsert(_u9392), _u9393), c_Orderings_Obot__class_Obot(tc_fun(_u9392, tc_HOL_Obool)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 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))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_bot__nat__def ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_bot__nat__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J ( axiom ) converted to clauses:
% 27.68/27.88 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)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 27.68/27.88 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)))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_simp__from__to ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_simp__from__to-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9396), _u9398)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9398, _u9396) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 27.68/27.88 cnf(fact_simp__from__to-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9397), _u9399)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9399, _u9397) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u9399), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9399), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9397))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_set__empty__eq ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_set__empty__eq-1, axiom, ( ( c_Option_Oset(_u9402, _u9404) != c_Orderings_Obot__class_Obot(tc_fun(_u9402, tc_HOL_Obool))) | ( _u9404 = c_Option_Ooption_ONone(_u9402)) )).
% 27.68/27.88 cnf(fact_set__empty__eq-2, axiom, ( ( _u9405 != c_Option_Ooption_ONone(_u9403)) | ( c_Option_Oset(_u9403, _u9405) = c_Orderings_Obot__class_Obot(tc_fun(_u9403, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_Option_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_Option_Oset_Osimps_I1_J-1, axiom, ( ( c_Option_Oset(_u9406, c_Option_Ooption_ONone(_u9406)) = c_Orderings_Obot__class_Obot(tc_fun(_u9406, tc_HOL_Obool))) )).
% 27.68/27.88
% 27.68/27.88 % Formula: fact_nat__def ( axiom ) converted to clauses:
% 27.68/27.88 cnf(fact_nat__def-1, axiom, ( ( hAPP(c_Int_Onat, _u9407) = 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, _u9407)), 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))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card__Diff__singleton__if ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card__Diff__singleton__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9408), _u9409)) | ~hBOOL(hAPP(hAPP(c_member(_u9408), _u9410), _u9409)) | ( hAPP(c_Finite__Set_Ocard(_u9408), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9408, tc_HOL_Obool)), _u9409), hAPP(hAPP(c_Set_Oinsert(_u9408), _u9410), c_Orderings_Obot__class_Obot(tc_fun(_u9408, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9408), _u9409)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.68/27.89 cnf(fact_card__Diff__singleton__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9408), _u9409)) | hBOOL(hAPP(hAPP(c_member(_u9408), _u9410), _u9409)) | ( hAPP(c_Finite__Set_Ocard(_u9408), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9408, tc_HOL_Obool)), _u9409), hAPP(hAPP(c_Set_Oinsert(_u9408), _u9410), c_Orderings_Obot__class_Obot(tc_fun(_u9408, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u9408), _u9409)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card__Diff__singleton ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card__Diff__singleton-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9411), _u9412)) | ~hBOOL(hAPP(hAPP(c_member(_u9411), _u9413), _u9412)) | ( hAPP(c_Finite__Set_Ocard(_u9411), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9411, tc_HOL_Obool)), _u9412), hAPP(hAPP(c_Set_Oinsert(_u9411), _u9413), c_Orderings_Obot__class_Obot(tc_fun(_u9411, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9411), _u9412)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__image__simple_Oinsert__remove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__image__simple_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9415), _u9420)) | ( hAPP(_u9419, hAPP(hAPP(c_Set_Oinsert(_u9415), _u9421), _u9420)) = hAPP(hAPP(_u9416, hAPP(_u9418, _u9421)), hAPP(_u9419, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9415, tc_HOL_Obool)), _u9420), hAPP(hAPP(c_Set_Oinsert(_u9415), _u9421), c_Orderings_Obot__class_Obot(tc_fun(_u9415, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u9414, _u9415, _u9416, _u9417, _u9418, _u9419) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_equalityCE-1, axiom, ( ( _u9422 != _u9423) | hBOOL(hAPP(hAPP(c_member(_u9424), _u9425), _u9422)) | ~hBOOL(hAPP(hAPP(c_member(_u9424), _u9425), _u9423)) )).
% 27.68/27.89 cnf(fact_equalityCE-2, axiom, ( ( _u9422 != _u9423) | hBOOL(hAPP(hAPP(c_member(_u9424), _u9425), _u9423)) | ~hBOOL(hAPP(hAPP(c_member(_u9424), _u9425), _u9422)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_SUP2__I ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_SUP2__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9426), _u9427), _u9428)) | ~hBOOL(hAPP(hAPP(hAPP(_u9429, _u9427), _u9430), _u9431)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9426, tc_fun(_u9432, tc_fun(_u9433, tc_HOL_Obool))), _u9428), _u9429), _u9430), _u9431)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9434), _u9435), c_Orderings_Obot__class_Obot(tc_fun(_u9434, tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9436), _u9437), hAPP(hAPP(c_Set_Oinsert(_u9436), _u9439), _u9438))) | ~hBOOL(hAPP(hAPP(c_member(_u9436), _u9437), _u9438)) )).
% 27.68/27.89 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9436), _u9437), hAPP(hAPP(c_Set_Oinsert(_u9436), _u9439), _u9438))) | ( _u9437 != _u9439) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_insertE ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9440), _u9441), hAPP(hAPP(c_Set_Oinsert(_u9440), _u9442), _u9443))) | ( _u9441 = _u9442) | hBOOL(hAPP(hAPP(c_member(_u9440), _u9441), _u9443)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_subsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9444, tc_HOL_Obool)), _u9445), _u9446)) | ~hBOOL(hAPP(hAPP(c_member(_u9444), _u9447), _u9445)) | hBOOL(hAPP(hAPP(c_member(_u9444), _u9447), _u9446)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UNIV__I ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9448), _u9449), c_Orderings_Otop__class_Otop(tc_fun(_u9448, tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_image__eqI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_image__eqI-1, axiom, ( ( _u9450 != hAPP(_u9451, _u9452)) | ~hBOOL(hAPP(hAPP(c_member(_u9453), _u9452), _u9454)) | hBOOL(hAPP(hAPP(c_member(_u9455), _u9450), hAPP(c_Set_Oimage(_u9453, _u9455, _u9451), _u9454))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UnE ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UnE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9456), _u9457), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9456, tc_HOL_Obool)), _u9458), _u9459))) | hBOOL(hAPP(hAPP(c_member(_u9456), _u9457), _u9458)) | hBOOL(hAPP(hAPP(c_member(_u9456), _u9457), _u9459)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UnCI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UnCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9460), _u9461), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9460, tc_HOL_Obool)), _u9463), _u9462))) | ~hBOOL(hAPP(hAPP(c_member(_u9460), _u9461), _u9462)) )).
% 27.68/27.89 cnf(fact_UnCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9460), _u9461), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9460, tc_HOL_Obool)), _u9463), _u9462))) | ~hBOOL(hAPP(hAPP(c_member(_u9460), _u9461), _u9463)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_DiffE ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_DiffE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9464), _u9465), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9464, tc_HOL_Obool)), _u9466), _u9467))) | hBOOL(hAPP(hAPP(c_member(_u9464), _u9465), _u9466)) )).
% 27.68/27.89 cnf(fact_DiffE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9464), _u9465), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9464, tc_HOL_Obool)), _u9466), _u9467))) | ~hBOOL(hAPP(hAPP(c_member(_u9464), _u9465), _u9467)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_DiffI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_DiffI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9468), _u9469), _u9470)) | hBOOL(hAPP(hAPP(c_member(_u9468), _u9469), _u9471)) | hBOOL(hAPP(hAPP(c_member(_u9468), _u9469), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9468, tc_HOL_Obool)), _u9470), _u9471))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ComplI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ComplI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9472), _u9473), _u9474)) | hBOOL(hAPP(hAPP(c_member(_u9472), _u9473), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9472, tc_HOL_Obool)), _u9474))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_SUP1__I ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_SUP1__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9475), _u9476), _u9477)) | ~hBOOL(hAPP(hAPP(_u9478, _u9476), _u9479)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9475, tc_fun(_u9480, tc_HOL_Obool)), _u9477), _u9478), _u9479)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__I ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9481), _u9482), _u9483)) | ~hBOOL(hAPP(hAPP(c_member(_u9484), _u9485), hAPP(_u9486, _u9482))) | hBOOL(hAPP(hAPP(c_member(_u9484), _u9485), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9481, tc_fun(_u9484, tc_HOL_Obool)), _u9483), _u9486))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_mem__splitI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_mem__splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9487), _u9488), hAPP(hAPP(_u9489, _u9490), _u9491))) | hBOOL(hAPP(hAPP(c_member(_u9487), _u9488), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u9492, _u9493, tc_fun(_u9487, tc_HOL_Obool)), _u9489), hAPP(hAPP(c_Product__Type_OPair(_u9492, _u9493), _u9490), _u9491)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_pair__imageI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9494, _u9495)), hAPP(hAPP(c_Product__Type_OPair(_u9494, _u9495), _u9496), _u9497)), _u9498)) | hBOOL(hAPP(hAPP(c_member(_u9499), hAPP(hAPP(_u9500, _u9496), _u9497)), hAPP(c_Set_Oimage(tc_prod(_u9494, _u9495), _u9499, hAPP(c_Product__Type_Oprod_Oprod__case(_u9494, _u9495, _u9499), _u9500)), _u9498))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_InrI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_InrI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9501), _u9502), _u9503)) | hBOOL(hAPP(hAPP(c_member(tc_sum(_u9504, _u9501)), hAPP(c_Sum__Type_OInr(_u9501, _u9504), _u9502)), c_Sum__Type_OPlus(_u9504, _u9501, _u9505, _u9503))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_InlI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_InlI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9506), _u9507), _u9508)) | hBOOL(hAPP(hAPP(c_member(tc_sum(_u9506, _u9509)), hAPP(c_Sum__Type_OInl(_u9506, _u9509), _u9507)), c_Sum__Type_OPlus(_u9506, _u9509, _u9508, _u9510))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_bot__empty__eq2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_bot__empty__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9515, tc_fun(_u9517, tc_HOL_Obool))), _u9519), _u9521)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9515, _u9517)), hAPP(hAPP(c_Product__Type_OPair(_u9515, _u9517), _u9519), _u9521)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9515, _u9517), tc_HOL_Obool)))) )).
% 27.68/27.89 cnf(fact_bot__empty__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9516, _u9518)), hAPP(hAPP(c_Product__Type_OPair(_u9516, _u9518), _u9520), _u9522)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9516, _u9518), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9516, tc_fun(_u9518, tc_HOL_Obool))), _u9520), _u9522)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9527), skolem175(_u9529, _u9527)), _u9529)) | ( _u9529 = c_Orderings_Obot__class_Obot(tc_fun(_u9527, tc_HOL_Obool))) )).
% 27.68/27.89 cnf(fact_all__not__in__conv-2, axiom, ( ( _u9530 != c_Orderings_Obot__class_Obot(tc_fun(_u9528, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9528), _u9524), _u9530)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9535), _u9531), _u9537)) | ( _u9537 != c_Orderings_Obot__class_Obot(tc_fun(_u9535, tc_HOL_Obool))) )).
% 27.68/27.89 cnf(fact_ex__in__conv-2, axiom, ( ( _u9538 = c_Orderings_Obot__class_Obot(tc_fun(_u9536, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9536), skolem176(_u9538, _u9536)), _u9538)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9539), _u9540), c_Orderings_Obot__class_Obot(tc_fun(_u9539, tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_equals0D-1, axiom, ( ( _u9541 != c_Orderings_Obot__class_Obot(tc_fun(_u9542, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9542), _u9543), _u9541)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_rev__image__eqI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9544), _u9545), _u9546)) | ( _u9547 != hAPP(_u9548, _u9545)) | hBOOL(hAPP(hAPP(c_member(_u9549), _u9547), hAPP(c_Set_Oimage(_u9544, _u9549, _u9548), _u9546))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_imageI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9550), _u9551), _u9552)) | hBOOL(hAPP(hAPP(c_member(_u9553), hAPP(_u9554, _u9551)), hAPP(c_Set_Oimage(_u9550, _u9553, _u9554), _u9552))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_image__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9562), _u9564), hAPP(c_Set_Oimage(_u9566, _u9562, _u9568), _u9570))) | hBOOL(hAPP(hAPP(c_member(_u9566), skolem177(_u9570, _u9568, _u9566, _u9564)), _u9570)) )).
% 27.68/27.89 cnf(fact_image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9562), _u9564), hAPP(c_Set_Oimage(_u9566, _u9562, _u9568), _u9570))) | ( _u9564 = hAPP(_u9568, skolem177(_u9570, _u9568, _u9566, _u9564))) )).
% 27.68/27.89 cnf(fact_image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9567), _u9556), _u9571)) | ( _u9565 != hAPP(_u9569, _u9556)) | hBOOL(hAPP(hAPP(c_member(_u9563), _u9565), hAPP(c_Set_Oimage(_u9567, _u9563, _u9569), _u9571))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_transfer__nat__int__set__relations_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_transfer__nat__int__set__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9574), _u9576)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9574)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9576))) )).
% 27.68/27.89 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), _u9575)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9577))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9575), _u9577)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_DiffD2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_DiffD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9578), _u9579), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9578, tc_HOL_Obool)), _u9580), _u9581))) | ~hBOOL(hAPP(hAPP(c_member(_u9578), _u9579), _u9581)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_DiffD1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_DiffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9582), _u9583), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9582, tc_HOL_Obool)), _u9584), _u9585))) | hBOOL(hAPP(hAPP(c_member(_u9582), _u9583), _u9584)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Diff__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9590), _u9592), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9590, tc_HOL_Obool)), _u9594), _u9596))) | hBOOL(hAPP(hAPP(c_member(_u9590), _u9592), _u9594)) )).
% 27.68/27.89 cnf(fact_Diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9590), _u9592), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9590, tc_HOL_Obool)), _u9594), _u9596))) | ~hBOOL(hAPP(hAPP(c_member(_u9590), _u9592), _u9596)) )).
% 27.68/27.89 cnf(fact_Diff__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9591), _u9593), _u9595)) | hBOOL(hAPP(hAPP(c_member(_u9591), _u9593), _u9597)) | hBOOL(hAPP(hAPP(c_member(_u9591), _u9593), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9591, tc_HOL_Obool)), _u9595), _u9597))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Un__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Un__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9602), _u9604), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9602, tc_HOL_Obool)), _u9606), _u9608))) | hBOOL(hAPP(hAPP(c_member(_u9602), _u9604), _u9606)) | hBOOL(hAPP(hAPP(c_member(_u9602), _u9604), _u9608)) )).
% 27.68/27.89 cnf(fact_Un__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9603), _u9605), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9603, tc_HOL_Obool)), _u9607), _u9609))) | ~hBOOL(hAPP(hAPP(c_member(_u9603), _u9605), _u9607)) )).
% 27.68/27.89 cnf(fact_Un__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9603), _u9605), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9603, tc_HOL_Obool)), _u9607), _u9609))) | ~hBOOL(hAPP(hAPP(c_member(_u9603), _u9605), _u9609)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UnI1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UnI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9610), _u9611), _u9612)) | hBOOL(hAPP(hAPP(c_member(_u9610), _u9611), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9610, tc_HOL_Obool)), _u9612), _u9613))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UnI2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UnI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9614), _u9615), _u9616)) | hBOOL(hAPP(hAPP(c_member(_u9614), _u9615), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9614, tc_HOL_Obool)), _u9617), _u9616))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9620, tc_HOL_Obool)), _u9622)) | hBOOL(hAPP(hAPP(c_member(_u9620), _u9622), c_Orderings_Obot__class_Obot(tc_fun(_u9620, tc_HOL_Obool)))) )).
% 27.68/27.89 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9621), _u9623), c_Orderings_Obot__class_Obot(tc_fun(_u9621, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9621, tc_HOL_Obool)), _u9623)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ord_OatLeastAtMost__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ord_OatLeastAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9629), _u9631), c_SetInterval_Oord_OatLeastAtMost(_u9629, _u9633, _u9635, _u9637))) | hBOOL(hAPP(hAPP(_u9633, _u9635), _u9631)) )).
% 27.68/27.89 cnf(fact_ord_OatLeastAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9629), _u9631), c_SetInterval_Oord_OatLeastAtMost(_u9629, _u9633, _u9635, _u9637))) | hBOOL(hAPP(hAPP(_u9633, _u9631), _u9637)) )).
% 27.68/27.89 cnf(fact_ord_OatLeastAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u9634, _u9636), _u9632)) | ~hBOOL(hAPP(hAPP(_u9634, _u9632), _u9638)) | hBOOL(hAPP(hAPP(c_member(_u9630), _u9632), c_SetInterval_Oord_OatLeastAtMost(_u9630, _u9634, _u9636, _u9638))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u9647 = _u9649) | ( hAPP(hAPP(c_COMBC(_u9643, tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_fun(_u9645, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9645, tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_fun(_u9645, tc_HOL_Obool)), _u9643), c_COMBC(_u9645, tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9645, tc_prod(_u9643, _u9645)), tc_fun(_u9645, tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool)), _u9643), hAPP(c_COMBB(tc_prod(_u9643, _u9645), tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool), _u9645), c_member(tc_prod(_u9643, _u9645)))), c_Product__Type_OPair(_u9643, _u9645)))), _u9647) != hAPP(hAPP(c_COMBC(_u9643, tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_fun(_u9645, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9645, tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_fun(_u9645, tc_HOL_Obool)), _u9643), c_COMBC(_u9645, tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9645, tc_prod(_u9643, _u9645)), tc_fun(_u9645, tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool)), _u9643), hAPP(c_COMBB(tc_prod(_u9643, _u9645), tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool), _u9645), c_member(tc_prod(_u9643, _u9645)))), c_Product__Type_OPair(_u9643, _u9645)))), _u9649)) )).
% 27.68/27.89 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u9648 != _u9650) | ( hAPP(hAPP(c_COMBC(_u9644, tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_fun(_u9646, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9646, tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_fun(_u9646, tc_HOL_Obool)), _u9644), c_COMBC(_u9646, tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9646, tc_prod(_u9644, _u9646)), tc_fun(_u9646, tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool)), _u9644), hAPP(c_COMBB(tc_prod(_u9644, _u9646), tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool), _u9646), c_member(tc_prod(_u9644, _u9646)))), c_Product__Type_OPair(_u9644, _u9646)))), _u9648) = hAPP(hAPP(c_COMBC(_u9644, tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_fun(_u9646, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9646, tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_fun(_u9646, tc_HOL_Obool)), _u9644), c_COMBC(_u9646, tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9646, tc_prod(_u9644, _u9646)), tc_fun(_u9646, tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool)), _u9644), hAPP(c_COMBB(tc_prod(_u9644, _u9646), tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool), _u9646), c_member(tc_prod(_u9644, _u9646)))), c_Product__Type_OPair(_u9644, _u9646)))), _u9650)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_sup__Un__eq2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_sup__Un__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9657, tc_fun(_u9659, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9657, tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_fun(_u9659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9659, tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_fun(_u9659, tc_HOL_Obool)), _u9657), c_COMBC(_u9659, tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9659, tc_prod(_u9657, _u9659)), tc_fun(_u9659, tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool)), _u9657), hAPP(c_COMBB(tc_prod(_u9657, _u9659), tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool), _u9659), c_member(tc_prod(_u9657, _u9659)))), c_Product__Type_OPair(_u9657, _u9659)))), _u9661)), hAPP(hAPP(c_COMBC(_u9657, tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_fun(_u9659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9659, tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_fun(_u9659, tc_HOL_Obool)), _u9657), c_COMBC(_u9659, tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9659, tc_prod(_u9657, _u9659)), tc_fun(_u9659, tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool)), _u9657), hAPP(c_COMBB(tc_prod(_u9657, _u9659), tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool), _u9659), c_member(tc_prod(_u9657, _u9659)))), c_Product__Type_OPair(_u9657, _u9659)))), _u9663)), _u9665), _u9667)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9657, _u9659)), hAPP(hAPP(c_Product__Type_OPair(_u9657, _u9659), _u9665), _u9667)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool)), _u9661), _u9663))) )).
% 27.68/27.89 cnf(fact_sup__Un__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9658, _u9660)), hAPP(hAPP(c_Product__Type_OPair(_u9658, _u9660), _u9666), _u9668)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool)), _u9662), _u9664))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9658, tc_fun(_u9660, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9658, tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_fun(_u9660, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9660, tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_fun(_u9660, tc_HOL_Obool)), _u9658), c_COMBC(_u9660, tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9660, tc_prod(_u9658, _u9660)), tc_fun(_u9660, tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool)), _u9658), hAPP(c_COMBB(tc_prod(_u9658, _u9660), tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool), _u9660), c_member(tc_prod(_u9658, _u9660)))), c_Product__Type_OPair(_u9658, _u9660)))), _u9662)), hAPP(hAPP(c_COMBC(_u9658, tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_fun(_u9660, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9660, tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_fun(_u9660, tc_HOL_Obool)), _u9658), c_COMBC(_u9660, tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9660, tc_prod(_u9658, _u9660)), tc_fun(_u9660, tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool)), _u9658), hAPP(c_COMBB(tc_prod(_u9658, _u9660), tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool), _u9660), c_member(tc_prod(_u9658, _u9660)))), c_Product__Type_OPair(_u9658, _u9660)))), _u9664)), _u9666), _u9668)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_pred__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9672, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9672, tc_fun(_u9672, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9672)), _u9674)), hAPP(hAPP(c_COMBC(_u9672, tc_fun(_u9672, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9672)), _u9676))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9672, tc_HOL_Obool)), _u9674), _u9676)) )).
% 27.68/27.89 cnf(fact_pred__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9673, tc_HOL_Obool)), _u9675), _u9677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9673, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9673, tc_fun(_u9673, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9673)), _u9675)), hAPP(hAPP(c_COMBC(_u9673, tc_fun(_u9673, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9673)), _u9677))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_sup__Un__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_sup__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9682, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9682, tc_fun(_u9682, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9682)), _u9684)), hAPP(hAPP(c_COMBC(_u9682, tc_fun(_u9682, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9682)), _u9686)), _u9688)) | hBOOL(hAPP(hAPP(c_member(_u9682), _u9688), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9682, tc_HOL_Obool)), _u9684), _u9686))) )).
% 27.68/27.89 cnf(fact_sup__Un__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9683), _u9689), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9683, tc_HOL_Obool)), _u9685), _u9687))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9683, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9683, tc_fun(_u9683, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9683)), _u9685)), hAPP(hAPP(c_COMBC(_u9683, tc_fun(_u9683, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9683)), _u9687)), _u9689)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_set__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9690, tc_HOL_Obool)), _u9691), _u9692)) | ~hBOOL(hAPP(hAPP(c_member(_u9690), _u9693), _u9691)) | hBOOL(hAPP(hAPP(c_member(_u9690), _u9693), _u9692)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9694), _u9695), _u9696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9694, tc_HOL_Obool)), _u9696), _u9697)) | hBOOL(hAPP(hAPP(c_member(_u9694), _u9695), _u9697)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_in__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9698, tc_HOL_Obool)), _u9699), _u9700)) | ~hBOOL(hAPP(hAPP(c_member(_u9698), _u9701), _u9699)) | hBOOL(hAPP(hAPP(c_member(_u9698), _u9701), _u9700)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Rep__Integ__inject ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Rep__Integ__inject-1, axiom, ( ( hAPP(c_Int_ORep__Integ, _u9704) != hAPP(c_Int_ORep__Integ, _u9706)) | ( _u9704 = _u9706) )).
% 27.68/27.89 cnf(fact_Rep__Integ__inject-2, axiom, ( ( _u9705 != _u9707) | ( hAPP(c_Int_ORep__Integ, _u9705) = hAPP(c_Int_ORep__Integ, _u9707)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u9715, _u9713)) | ~hBOOL(hAPP(hAPP(c_member(_u9711), _u9713), _u9715)) )).
% 27.68/27.89 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u9716, _u9714)) | hBOOL(hAPP(hAPP(c_member(_u9712), _u9714), _u9716)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u9717 != _u9718) | ~hBOOL(hAPP(hAPP(c_member(_u9719), _u9720), _u9717)) | hBOOL(hAPP(hAPP(c_member(_u9719), _u9720), _u9718)) )).
% 27.68/27.89 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u9717 != _u9718) | ~hBOOL(hAPP(hAPP(c_member(_u9719), _u9720), _u9718)) | hBOOL(hAPP(hAPP(c_member(_u9719), _u9720), _u9717)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u9721 != _u9722) | ~hBOOL(hAPP(hAPP(c_member(_u9723), _u9721), _u9724)) | hBOOL(hAPP(hAPP(c_member(_u9723), _u9722), _u9724)) )).
% 27.68/27.89 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u9721 != _u9722) | ~hBOOL(hAPP(hAPP(c_member(_u9723), _u9722), _u9724)) | hBOOL(hAPP(hAPP(c_member(_u9723), _u9721), _u9724)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_eq__mem__trans-1, axiom, ( ( _u9725 != _u9726) | ~hBOOL(hAPP(hAPP(c_member(_u9727), _u9726), _u9728)) | hBOOL(hAPP(hAPP(c_member(_u9727), _u9725), _u9728)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_eq__mem-1, axiom, ( ( _u9734 = _u9736) | ~hBOOL(hAPP(hAPP(c_member(_u9732), _u9734), hAPP(c_fequal, _u9736))) )).
% 27.68/27.89 cnf(fact_eq__mem-2, axiom, ( ( _u9735 != _u9737) | hBOOL(hAPP(hAPP(c_member(_u9733), _u9735), hAPP(c_fequal, _u9737))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_pred__equals__eq-1, axiom, ( ( _u9743 = _u9745) | ( hAPP(hAPP(c_COMBC(_u9741, tc_fun(_u9741, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9741)), _u9743) != hAPP(hAPP(c_COMBC(_u9741, tc_fun(_u9741, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9741)), _u9745)) )).
% 27.68/27.89 cnf(fact_pred__equals__eq-2, axiom, ( ( _u9744 != _u9746) | ( hAPP(hAPP(c_COMBC(_u9742, tc_fun(_u9742, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9742)), _u9744) = hAPP(hAPP(c_COMBC(_u9742, tc_fun(_u9742, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9742)), _u9746)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Compl__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9750), _u9752), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9750, tc_HOL_Obool)), _u9754))) | ~hBOOL(hAPP(hAPP(c_member(_u9750), _u9752), _u9754)) )).
% 27.68/27.89 cnf(fact_Compl__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9751), _u9753), _u9755)) | hBOOL(hAPP(hAPP(c_member(_u9751), _u9753), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9751, tc_HOL_Obool)), _u9755))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ComplD ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ComplD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9756), _u9757), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9756, tc_HOL_Obool)), _u9758))) | ~hBOOL(hAPP(hAPP(c_member(_u9756), _u9757), _u9758)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ComplE ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ComplE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9759), _u9760), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9759, tc_HOL_Obool)), _u9761))) | ~hBOOL(hAPP(hAPP(c_member(_u9759), _u9760), _u9761)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_psubsetD ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_psubsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9762, tc_HOL_Obool)), _u9763), _u9764)) | ~hBOOL(hAPP(hAPP(c_member(_u9762), _u9765), _u9763)) | hBOOL(hAPP(hAPP(c_member(_u9762), _u9765), _u9764)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_type__definition_OAbs__inject ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_type__definition_OAbs__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u9766, _u9767, _u9768, _u9769, _u9770) | ~hBOOL(hAPP(hAPP(c_member(_u9767), _u9771), _u9770)) | ~hBOOL(hAPP(hAPP(c_member(_u9767), _u9772), _u9770)) | ( hAPP(_u9769, _u9771) != hAPP(_u9769, _u9772)) | ( _u9771 = _u9772) )).
% 27.68/27.89 cnf(fact_type__definition_OAbs__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u9766, _u9767, _u9768, _u9769, _u9770) | ~hBOOL(hAPP(hAPP(c_member(_u9767), _u9771), _u9770)) | ~hBOOL(hAPP(hAPP(c_member(_u9767), _u9772), _u9770)) | ( _u9771 != _u9772) | ( hAPP(_u9769, _u9771) = hAPP(_u9769, _u9772)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_type__definition_OAbs__inverse ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_type__definition_OAbs__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9774), _u9778), _u9777)) | ( hAPP(_u9775, hAPP(_u9776, _u9778)) = _u9778) | ~c_Typedef_Otype__definition(_u9773, _u9774, _u9775, _u9776, _u9777) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_type__definition_ORep ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_type__definition_ORep-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9780), hAPP(_u9781, _u9784)), _u9783)) | ~c_Typedef_Otype__definition(_u9779, _u9780, _u9781, _u9782, _u9783) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9785), _u9786), _u9787)) | ( hAPP(hAPP(c_Set_Oinsert(_u9785), _u9786), _u9787) = _u9787) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9788), _u9789), _u9790)) | hBOOL(hAPP(hAPP(c_member(_u9788), _u9789), hAPP(hAPP(c_Set_Oinsert(_u9788), _u9791), _u9790))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9792), _u9793), _u9794)) | hBOOL(hAPP(hAPP(c_member(_u9792), _u9793), _u9795)) | ( hAPP(hAPP(c_Set_Oinsert(_u9792), _u9793), _u9794) != hAPP(hAPP(c_Set_Oinsert(_u9792), _u9793), _u9795)) | ( _u9794 = _u9795) )).
% 27.68/27.89 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9792), _u9793), _u9794)) | hBOOL(hAPP(hAPP(c_member(_u9792), _u9793), _u9795)) | ( _u9794 != _u9795) | ( hAPP(hAPP(c_Set_Oinsert(_u9792), _u9793), _u9794) = hAPP(hAPP(c_Set_Oinsert(_u9792), _u9793), _u9795)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9800), _u9802), hAPP(hAPP(c_Set_Oinsert(_u9800), _u9804), _u9806))) | ( _u9802 = _u9804) | hBOOL(hAPP(hAPP(c_member(_u9800), _u9802), _u9806)) )).
% 27.68/27.89 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9801), _u9803), hAPP(hAPP(c_Set_Oinsert(_u9801), _u9805), _u9807))) | ( _u9803 != _u9805) )).
% 27.68/27.89 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9801), _u9803), hAPP(hAPP(c_Set_Oinsert(_u9801), _u9805), _u9807))) | ~hBOOL(hAPP(hAPP(c_member(_u9801), _u9803), _u9807)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9808), _u9809), hAPP(hAPP(c_Set_Oinsert(_u9808), _u9809), _u9810))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__image__simple_Oinsert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__image__simple_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9812), _u9817)) | hBOOL(hAPP(hAPP(c_member(_u9812), _u9818), _u9817)) | ( hAPP(_u9816, hAPP(hAPP(c_Set_Oinsert(_u9812), _u9818), _u9817)) = hAPP(hAPP(_u9813, hAPP(_u9815, _u9818)), hAPP(_u9816, _u9817))) | ~c_Finite__Set_Ofolding__image__simple(_u9811, _u9812, _u9813, _u9814, _u9815, _u9816) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9826), _u9828), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9830, tc_fun(_u9826, tc_HOL_Obool)), _u9832), _u9834))) | hBOOL(hAPP(hAPP(c_member(_u9830), skolem178(_u9834, _u9832, _u9830, _u9828, _u9826)), _u9832)) )).
% 27.68/27.89 cnf(fact_UN__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9826), _u9828), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9830, tc_fun(_u9826, tc_HOL_Obool)), _u9832), _u9834))) | hBOOL(hAPP(hAPP(c_member(_u9826), _u9828), hAPP(_u9834, skolem178(_u9834, _u9832, _u9830, _u9828, _u9826)))) )).
% 27.68/27.89 cnf(fact_UN__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9831), _u9820), _u9833)) | ~hBOOL(hAPP(hAPP(c_member(_u9827), _u9829), hAPP(_u9835, _u9820))) | hBOOL(hAPP(hAPP(c_member(_u9827), _u9829), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9831, tc_fun(_u9827, tc_HOL_Obool)), _u9833), _u9835))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__image__simple_Oempty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__image__simple_Oempty-1, axiom, ( ( hAPP(_u9841, c_Orderings_Obot__class_Obot(tc_fun(_u9837, tc_HOL_Obool))) = _u9839) | ~c_Finite__Set_Ofolding__image__simple(_u9836, _u9837, _u9838, _u9839, _u9840, _u9841) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_singleton__iff-1, axiom, ( ( _u9847 = _u9849) | ~hBOOL(hAPP(hAPP(c_member(_u9845), _u9847), hAPP(hAPP(c_Set_Oinsert(_u9845), _u9849), c_Orderings_Obot__class_Obot(tc_fun(_u9845, tc_HOL_Obool))))) )).
% 27.68/27.89 cnf(fact_singleton__iff-2, axiom, ( ( _u9848 != _u9850) | hBOOL(hAPP(hAPP(c_member(_u9846), _u9848), hAPP(hAPP(c_Set_Oinsert(_u9846), _u9850), c_Orderings_Obot__class_Obot(tc_fun(_u9846, tc_HOL_Obool))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_singletonE-1, axiom, ( ( _u9852 = _u9853) | ~hBOOL(hAPP(hAPP(c_member(_u9851), _u9852), hAPP(hAPP(c_Set_Oinsert(_u9851), _u9853), c_Orderings_Obot__class_Obot(tc_fun(_u9851, tc_HOL_Obool))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9854), _u9855), _u9856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9854, tc_HOL_Obool)), _u9856), hAPP(hAPP(c_Set_Oinsert(_u9854), _u9855), _u9857))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9854, tc_HOL_Obool)), _u9856), _u9857)) )).
% 27.68/27.89 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9854), _u9855), _u9856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9854, tc_HOL_Obool)), _u9856), _u9857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9854, tc_HOL_Obool)), _u9856), hAPP(hAPP(c_Set_Oinsert(_u9854), _u9855), _u9857))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_insert__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9862, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9862), _u9864), _u9866)), _u9868)) | hBOOL(hAPP(hAPP(c_member(_u9862), _u9864), _u9868)) )).
% 27.68/27.89 cnf(fact_insert__subset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9862, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9862), _u9864), _u9866)), _u9868)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9862, tc_HOL_Obool)), _u9866), _u9868)) )).
% 27.68/27.89 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9863), _u9865), _u9869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9863, tc_HOL_Obool)), _u9867), _u9869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9863, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9863), _u9865), _u9867)), _u9869)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_insert__image ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_insert__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9870), _u9871), _u9872)) | ( hAPP(hAPP(c_Set_Oinsert(_u9873), hAPP(_u9874, _u9871)), hAPP(c_Set_Oimage(_u9870, _u9873, _u9874), _u9872)) = hAPP(c_Set_Oimage(_u9870, _u9873, _u9874), _u9872)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_range__eqI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_range__eqI-1, axiom, ( ( _u9875 != hAPP(_u9876, _u9877)) | hBOOL(hAPP(hAPP(c_member(_u9878), _u9875), hAPP(c_Set_Oimage(_u9879, _u9878, _u9876), c_Orderings_Otop__class_Otop(tc_fun(_u9879, tc_HOL_Obool))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_rangeI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_rangeI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9880), hAPP(_u9881, _u9882)), hAPP(c_Set_Oimage(_u9883, _u9880, _u9881), c_Orderings_Otop__class_Otop(tc_fun(_u9883, tc_HOL_Obool))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_insert__Diff__if ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_insert__Diff__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9888), _u9890), _u9892)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9888, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9888), _u9890), _u9894)), _u9892) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9888, tc_HOL_Obool)), _u9894), _u9892)) )).
% 27.68/27.89 cnf(fact_insert__Diff__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9889), _u9891), _u9893)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9889, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9889), _u9891), _u9895)), _u9893) = hAPP(hAPP(c_Set_Oinsert(_u9889), _u9891), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9889, tc_HOL_Obool)), _u9895), _u9893))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_insert__Diff1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_insert__Diff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9896), _u9897), _u9898)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9896, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9896), _u9897), _u9899)), _u9898) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9896, tc_HOL_Obool)), _u9899), _u9898)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_lessThan__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_lessThan__iff-1, axiom, ( ~class_Orderings_Oord(_u9900) | ~hBOOL(hAPP(hAPP(c_member(_u9900), _u9901), hAPP(c_SetInterval_Oord__class_OlessThan(_u9900), _u9902))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9900), _u9901), _u9902)) )).
% 27.68/27.89 cnf(fact_lessThan__iff-2, axiom, ( ~class_Orderings_Oord(_u9900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9900), _u9901), _u9902)) | hBOOL(hAPP(hAPP(c_member(_u9900), _u9901), hAPP(c_SetInterval_Oord__class_OlessThan(_u9900), _u9902))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ord_OgreaterThanLessThan__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ord_OgreaterThanLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9908), _u9910), c_SetInterval_Oord_OgreaterThanLessThan(_u9908, _u9912, _u9914, _u9916))) | hBOOL(hAPP(hAPP(_u9912, _u9914), _u9910)) )).
% 27.68/27.89 cnf(fact_ord_OgreaterThanLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9908), _u9910), c_SetInterval_Oord_OgreaterThanLessThan(_u9908, _u9912, _u9914, _u9916))) | hBOOL(hAPP(hAPP(_u9912, _u9910), _u9916)) )).
% 27.68/27.89 cnf(fact_ord_OgreaterThanLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u9913, _u9915), _u9911)) | ~hBOOL(hAPP(hAPP(_u9913, _u9911), _u9917)) | hBOOL(hAPP(hAPP(c_member(_u9909), _u9911), c_SetInterval_Oord_OgreaterThanLessThan(_u9909, _u9913, _u9915, _u9917))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_transfer__int__nat__set__relations_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_transfer__int__nat__set__relations_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u9918) | ~c_Nat__Transfer_Onat__set(_u9919) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9918), _u9919)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u9918)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9919))) )).
% 27.68/27.89 cnf(fact_transfer__int__nat__set__relations_I2_J-2, axiom, ( ~c_Nat__Transfer_Ois__nat(_u9918) | ~c_Nat__Transfer_Onat__set(_u9919) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u9918)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9919))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9918), _u9919)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_atMost__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_atMost__iff-1, axiom, ( ~class_Orderings_Oord(_u9920) | ~hBOOL(hAPP(hAPP(c_member(_u9920), _u9921), hAPP(c_SetInterval_Oord__class_OatMost(_u9920), _u9922))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9920), _u9921), _u9922)) )).
% 27.68/27.89 cnf(fact_atMost__iff-2, axiom, ( ~class_Orderings_Oord(_u9920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9920), _u9921), _u9922)) | hBOOL(hAPP(hAPP(c_member(_u9920), _u9921), hAPP(c_SetInterval_Oord__class_OatMost(_u9920), _u9922))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_atLeast__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_atLeast__iff-1, axiom, ( ~class_Orderings_Oord(_u9923) | ~hBOOL(hAPP(hAPP(c_member(_u9923), _u9924), hAPP(c_SetInterval_Oord__class_OatLeast(_u9923), _u9925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9923), _u9925), _u9924)) )).
% 27.68/27.89 cnf(fact_atLeast__iff-2, axiom, ( ~class_Orderings_Oord(_u9923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9923), _u9925), _u9924)) | hBOOL(hAPP(hAPP(c_member(_u9923), _u9924), hAPP(c_SetInterval_Oord__class_OatLeast(_u9923), _u9925))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_greaterThan__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_greaterThan__iff-1, axiom, ( ~class_Orderings_Oord(_u9926) | ~hBOOL(hAPP(hAPP(c_member(_u9926), _u9927), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u9926), _u9928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9926), _u9928), _u9927)) )).
% 27.68/27.89 cnf(fact_greaterThan__iff-2, axiom, ( ~class_Orderings_Oord(_u9926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9926), _u9928), _u9927)) | hBOOL(hAPP(hAPP(c_member(_u9926), _u9927), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u9926), _u9928))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_code__numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_code__numeral_Oof__nat__inject-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9929), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9930), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u9929) != hAPP(c_Code__Numeral_Oof__nat, _u9930)) | ( _u9929 = _u9930) )).
% 27.68/27.89 cnf(fact_code__numeral_Oof__nat__inject-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9929), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9930), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9929 != _u9930) | ( hAPP(c_Code__Numeral_Oof__nat, _u9929) = hAPP(c_Code__Numeral_Oof__nat, _u9930)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_le__SUPI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_le__SUPI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9931) | ~hBOOL(hAPP(hAPP(c_member(_u9932), _u9933), _u9934)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9931), hAPP(_u9935, _u9933)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9932, _u9931), _u9934), _u9935))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_nat__of ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_nat__of-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u9936)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u9937) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9938), _u9937)) | c_Nat__Transfer_Ois__nat(_u9938) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_SUP__UN__eq2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_SUP__UN__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9945, tc_fun(_u9947, tc_fun(_u9949, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9945, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_fun(_u9947, tc_fun(_u9949, tc_HOL_Obool)), _u9945), hAPP(c_COMBC(_u9947, tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_fun(_u9949, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9949, tc_fun(tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_fun(_u9949, tc_HOL_Obool)), _u9947), c_COMBC(_u9949, tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9949, tc_prod(_u9947, _u9949)), tc_fun(_u9949, tc_fun(tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_HOL_Obool)), _u9947), hAPP(c_COMBB(tc_prod(_u9947, _u9949), tc_fun(tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_HOL_Obool), _u9949), c_member(tc_prod(_u9947, _u9949)))), c_Product__Type_OPair(_u9947, _u9949))))), _u9951)), _u9953), _u9955)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9947, _u9949)), hAPP(hAPP(c_Product__Type_OPair(_u9947, _u9949), _u9953), _u9955)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9945, tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9945, tc_HOL_Obool))), _u9951))) )).
% 27.68/27.89 cnf(fact_SUP__UN__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9948, _u9950)), hAPP(hAPP(c_Product__Type_OPair(_u9948, _u9950), _u9954), _u9956)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9946, tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9946, tc_HOL_Obool))), _u9952))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9946, tc_fun(_u9948, tc_fun(_u9950, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9946, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_fun(_u9948, tc_fun(_u9950, tc_HOL_Obool)), _u9946), hAPP(c_COMBC(_u9948, tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_fun(_u9950, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9950, tc_fun(tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_fun(_u9950, tc_HOL_Obool)), _u9948), c_COMBC(_u9950, tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9950, tc_prod(_u9948, _u9950)), tc_fun(_u9950, tc_fun(tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_HOL_Obool)), _u9948), hAPP(c_COMBB(tc_prod(_u9948, _u9950), tc_fun(tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_HOL_Obool), _u9950), c_member(tc_prod(_u9948, _u9950)))), c_Product__Type_OPair(_u9948, _u9950))))), _u9952)), _u9954), _u9956)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__image__simple_Oremove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__image__simple_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9958), _u9963)) | ~hBOOL(hAPP(hAPP(c_member(_u9958), _u9964), _u9963)) | ( hAPP(_u9962, _u9963) = hAPP(hAPP(_u9959, hAPP(_u9961, _u9964)), hAPP(_u9962, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9958, tc_HOL_Obool)), _u9963), hAPP(hAPP(c_Set_Oinsert(_u9958), _u9964), c_Orderings_Obot__class_Obot(tc_fun(_u9958, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u9957, _u9958, _u9959, _u9960, _u9961, _u9962) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__insert__distrib ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9965), _u9966), _u9967)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9965, tc_fun(_u9968, tc_HOL_Obool)), _u9967), hAPP(hAPP(c_COMBB(tc_fun(_u9968, tc_HOL_Obool), tc_fun(_u9968, tc_HOL_Obool), _u9965), hAPP(c_Set_Oinsert(_u9968), _u9969)), _u9970)) = hAPP(hAPP(c_Set_Oinsert(_u9968), _u9969), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9965, tc_fun(_u9968, tc_HOL_Obool)), _u9967), _u9970))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__upper ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9971), _u9972), _u9973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9974, tc_HOL_Obool)), hAPP(_u9975, _u9972)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9971, tc_fun(_u9974, tc_HOL_Obool)), _u9973), _u9975))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_SUP__UN__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_SUP__UN__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9980, tc_fun(_u9982, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9980, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9982, tc_HOL_Obool), tc_fun(_u9982, tc_HOL_Obool), _u9980), hAPP(c_COMBC(_u9982, tc_fun(_u9982, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9982))), _u9984)), _u9986)) | hBOOL(hAPP(hAPP(c_member(_u9982), _u9986), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9980, tc_fun(_u9982, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9980, tc_HOL_Obool))), _u9984))) )).
% 27.68/27.89 cnf(fact_SUP__UN__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9983), _u9987), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9981, tc_fun(_u9983, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9981, tc_HOL_Obool))), _u9985))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9981, tc_fun(_u9983, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9981, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9983, tc_HOL_Obool), tc_fun(_u9983, tc_HOL_Obool), _u9981), hAPP(c_COMBC(_u9983, tc_fun(_u9983, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9983))), _u9985)), _u9987)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__absorb ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9988), _u9989), _u9990)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9991, tc_HOL_Obool)), hAPP(_u9992, _u9989)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9988, tc_fun(_u9991, tc_HOL_Obool)), _u9990), _u9992)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9988, tc_fun(_u9991, tc_HOL_Obool)), _u9990), _u9992)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_elem__set ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_elem__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9996), _u9998), c_Option_Oset(_u9996, _u10000))) | ( _u10000 = hAPP(c_Option_Ooption_OSome(_u9996), _u9998)) )).
% 27.68/27.89 cnf(fact_elem__set-2, axiom, ( ( _u10001 != hAPP(c_Option_Ooption_OSome(_u9997), _u9999)) | hBOOL(hAPP(hAPP(c_member(_u9997), _u9999), c_Option_Oset(_u9997, _u10001))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_pred__subset__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10006, tc_fun(_u10008, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10006, tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_fun(_u10008, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10008, tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_fun(_u10008, tc_HOL_Obool)), _u10006), c_COMBC(_u10008, tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10008, tc_prod(_u10006, _u10008)), tc_fun(_u10008, tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool)), _u10006), hAPP(c_COMBB(tc_prod(_u10006, _u10008), tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool), _u10008), c_member(tc_prod(_u10006, _u10008)))), c_Product__Type_OPair(_u10006, _u10008)))), _u10010)), hAPP(hAPP(c_COMBC(_u10006, tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_fun(_u10008, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10008, tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_fun(_u10008, tc_HOL_Obool)), _u10006), c_COMBC(_u10008, tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10008, tc_prod(_u10006, _u10008)), tc_fun(_u10008, tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool)), _u10006), hAPP(c_COMBB(tc_prod(_u10006, _u10008), tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool), _u10008), c_member(tc_prod(_u10006, _u10008)))), c_Product__Type_OPair(_u10006, _u10008)))), _u10012))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool)), _u10010), _u10012)) )).
% 27.68/27.89 cnf(fact_pred__subset__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool)), _u10011), _u10013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10007, tc_fun(_u10009, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10007, tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_fun(_u10009, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10009, tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_fun(_u10009, tc_HOL_Obool)), _u10007), c_COMBC(_u10009, tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10009, tc_prod(_u10007, _u10009)), tc_fun(_u10009, tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool)), _u10007), hAPP(c_COMBB(tc_prod(_u10007, _u10009), tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool), _u10009), c_member(tc_prod(_u10007, _u10009)))), c_Product__Type_OPair(_u10007, _u10009)))), _u10011)), hAPP(hAPP(c_COMBC(_u10007, tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_fun(_u10009, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10009, tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_fun(_u10009, tc_HOL_Obool)), _u10007), c_COMBC(_u10009, tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10009, tc_prod(_u10007, _u10009)), tc_fun(_u10009, tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool)), _u10007), hAPP(c_COMBB(tc_prod(_u10007, _u10009), tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool), _u10009), c_member(tc_prod(_u10007, _u10009)))), c_Product__Type_OPair(_u10007, _u10009)))), _u10013))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Diff__insert__absorb ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Diff__insert__absorb-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u10014), _u10015), _u10016)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10014, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10014), _u10015), _u10016)), hAPP(hAPP(c_Set_Oinsert(_u10014), _u10015), c_Orderings_Obot__class_Obot(tc_fun(_u10014, tc_HOL_Obool)))) = _u10016) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_insert__Diff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_insert__Diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10017), _u10018), _u10019)) | ( hAPP(hAPP(c_Set_Oinsert(_u10017), _u10018), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10017, tc_HOL_Obool)), _u10019), hAPP(hAPP(c_Set_Oinsert(_u10017), _u10018), c_Orderings_Obot__class_Obot(tc_fun(_u10017, tc_HOL_Obool))))) = _u10019) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10020) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10021), _u10020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10021)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__delta_H ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10022) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10023), _u10024)) | ~hBOOL(hAPP(hAPP(c_member(_u10023), _u10025), _u10024)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10023, _u10022), hAPP(hAPP(c_COMBC(_u10023, _u10022, _u10022), hAPP(hAPP(c_COMBS(_u10023, _u10022, tc_fun(_u10022, _u10022)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10022, tc_fun(_u10022, _u10022)), _u10023), c_If(_u10022)), hAPP(c_fequal, _u10025))), _u10026)), c_Groups_Ozero__class_Ozero(_u10022))), _u10024) = hAPP(_u10026, _u10025)) )).
% 27.68/27.89 cnf(fact_setsum__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10022) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10023), _u10024)) | hBOOL(hAPP(hAPP(c_member(_u10023), _u10025), _u10024)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10023, _u10022), hAPP(hAPP(c_COMBC(_u10023, _u10022, _u10022), hAPP(hAPP(c_COMBS(_u10023, _u10022, tc_fun(_u10022, _u10022)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10022, tc_fun(_u10022, _u10022)), _u10023), c_If(_u10022)), hAPP(c_fequal, _u10025))), _u10026)), c_Groups_Ozero__class_Ozero(_u10022))), _u10024) = c_Groups_Ozero__class_Ozero(_u10022)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__delta ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10028), _u10029)) | ~hBOOL(hAPP(hAPP(c_member(_u10028), _u10030), _u10029)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10028, _u10027), hAPP(hAPP(c_COMBC(_u10028, _u10027, _u10027), hAPP(hAPP(c_COMBS(_u10028, _u10027, tc_fun(_u10027, _u10027)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10027, tc_fun(_u10027, _u10027)), _u10028), c_If(_u10027)), hAPP(hAPP(c_COMBC(_u10028, _u10028, tc_HOL_Obool), c_fequal), _u10030))), _u10031)), c_Groups_Ozero__class_Ozero(_u10027))), _u10029) = hAPP(_u10031, _u10030)) )).
% 27.68/27.89 cnf(fact_setsum__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10028), _u10029)) | hBOOL(hAPP(hAPP(c_member(_u10028), _u10030), _u10029)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10028, _u10027), hAPP(hAPP(c_COMBC(_u10028, _u10027, _u10027), hAPP(hAPP(c_COMBS(_u10028, _u10027, tc_fun(_u10027, _u10027)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10027, tc_fun(_u10027, _u10027)), _u10028), c_If(_u10027)), hAPP(hAPP(c_COMBC(_u10028, _u10028, tc_HOL_Obool), c_fequal), _u10030))), _u10031)), c_Groups_Ozero__class_Ozero(_u10027))), _u10029) = c_Groups_Ozero__class_Ozero(_u10027)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_image__constant ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_image__constant-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10032), _u10033), _u10034)) | ( hAPP(c_Set_Oimage(_u10032, _u10035, hAPP(c_COMBK(_u10035, _u10032), _u10036)), _u10034) = hAPP(hAPP(c_Set_Oinsert(_u10035), _u10036), c_Orderings_Obot__class_Obot(tc_fun(_u10035, tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_of__nat__inverse ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_of__nat__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10037), 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, _u10037)) = _u10037) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__insert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10038) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10039), _u10040)) | hBOOL(hAPP(hAPP(c_member(_u10039), _u10041), _u10040)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10039, _u10038), _u10042), hAPP(hAPP(c_Set_Oinsert(_u10039), _u10041), _u10040)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10038), hAPP(_u10042, _u10041)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10039, _u10038), _u10042), _u10040))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum_Oinsert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10043) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10044), _u10045)) | hBOOL(hAPP(hAPP(c_member(_u10044), _u10046), _u10045)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10044, _u10043), _u10047), hAPP(hAPP(c_Set_Oinsert(_u10044), _u10046), _u10045)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10043), hAPP(_u10047, _u10046)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10044, _u10043), _u10047), _u10045))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_subset__insert__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_subset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10052, tc_HOL_Obool)), _u10054), hAPP(hAPP(c_Set_Oinsert(_u10052), _u10056), _u10058))) | ~hBOOL(hAPP(hAPP(c_member(_u10052), _u10056), _u10054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10052, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10052, tc_HOL_Obool)), _u10054), hAPP(hAPP(c_Set_Oinsert(_u10052), _u10056), c_Orderings_Obot__class_Obot(tc_fun(_u10052, tc_HOL_Obool))))), _u10058)) )).
% 27.68/27.89 cnf(fact_subset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10052, tc_HOL_Obool)), _u10054), hAPP(hAPP(c_Set_Oinsert(_u10052), _u10056), _u10058))) | hBOOL(hAPP(hAPP(c_member(_u10052), _u10056), _u10054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10052, tc_HOL_Obool)), _u10054), _u10058)) )).
% 27.68/27.89 cnf(fact_subset__insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), _u10055), hAPP(hAPP(c_Set_Oinsert(_u10053), _u10057), _u10059))) | hBOOL(hAPP(hAPP(c_member(_u10053), _u10057), _u10055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), _u10055), _u10059)) )).
% 27.68/27.89 cnf(fact_subset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), _u10055), hAPP(hAPP(c_Set_Oinsert(_u10053), _u10057), _u10059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10053, tc_HOL_Obool)), _u10055), hAPP(hAPP(c_Set_Oinsert(_u10053), _u10057), c_Orderings_Obot__class_Obot(tc_fun(_u10053, tc_HOL_Obool))))), _u10059)) | ~hBOOL(hAPP(hAPP(c_member(_u10053), _u10057), _u10055)) )).
% 27.68/27.89 cnf(fact_subset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), _u10055), hAPP(hAPP(c_Set_Oinsert(_u10053), _u10057), _u10059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10053, tc_HOL_Obool)), _u10055), hAPP(hAPP(c_Set_Oinsert(_u10053), _u10057), c_Orderings_Obot__class_Obot(tc_fun(_u10053, tc_HOL_Obool))))), _u10059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), _u10055), _u10059)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_diff__single__insert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_diff__single__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10060, tc_HOL_Obool)), 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))))), _u10063)) | ~hBOOL(hAPP(hAPP(c_member(_u10060), _u10062), _u10061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10060, tc_HOL_Obool)), _u10061), hAPP(hAPP(c_Set_Oinsert(_u10060), _u10062), _u10063))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card__insert__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10064), _u10065)) | hBOOL(hAPP(hAPP(c_member(_u10064), _u10066), _u10065)) | ( hAPP(c_Finite__Set_Ocard(_u10064), hAPP(hAPP(c_Set_Oinsert(_u10064), _u10066), _u10065)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10064), _u10065))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card__insert__if ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card__insert__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10067), _u10068)) | ~hBOOL(hAPP(hAPP(c_member(_u10067), _u10069), _u10068)) | ( hAPP(c_Finite__Set_Ocard(_u10067), hAPP(hAPP(c_Set_Oinsert(_u10067), _u10069), _u10068)) = hAPP(c_Finite__Set_Ocard(_u10067), _u10068)) )).
% 27.68/27.89 cnf(fact_card__insert__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10067), _u10068)) | hBOOL(hAPP(hAPP(c_member(_u10067), _u10069), _u10068)) | ( hAPP(c_Finite__Set_Ocard(_u10067), hAPP(hAPP(c_Set_Oinsert(_u10067), _u10069), _u10068)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10067), _u10068))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card_Oinsert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10070), _u10071)) | hBOOL(hAPP(hAPP(c_member(_u10070), _u10072), _u10071)) | ( hAPP(c_Finite__Set_Ocard(_u10070), hAPP(hAPP(c_Set_Oinsert(_u10070), _u10072), _u10071)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10070), _u10071))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_psubset__insert__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_psubset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10077, tc_HOL_Obool)), _u10079), hAPP(hAPP(c_Set_Oinsert(_u10077), _u10081), _u10083))) | ~hBOOL(hAPP(hAPP(c_member(_u10077), _u10081), _u10083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10077, tc_HOL_Obool)), _u10079), _u10083)) )).
% 27.68/27.89 cnf(fact_psubset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10077, tc_HOL_Obool)), _u10079), hAPP(hAPP(c_Set_Oinsert(_u10077), _u10081), _u10083))) | hBOOL(hAPP(hAPP(c_member(_u10077), _u10081), _u10083)) | ~hBOOL(hAPP(hAPP(c_member(_u10077), _u10081), _u10079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10077, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10077, tc_HOL_Obool)), _u10079), hAPP(hAPP(c_Set_Oinsert(_u10077), _u10081), c_Orderings_Obot__class_Obot(tc_fun(_u10077, tc_HOL_Obool))))), _u10083)) )).
% 27.68/27.89 cnf(fact_psubset__insert__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10077, tc_HOL_Obool)), _u10079), hAPP(hAPP(c_Set_Oinsert(_u10077), _u10081), _u10083))) | hBOOL(hAPP(hAPP(c_member(_u10077), _u10081), _u10083)) | hBOOL(hAPP(hAPP(c_member(_u10077), _u10081), _u10079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10077, tc_HOL_Obool)), _u10079), _u10083)) )).
% 27.68/27.89 cnf(fact_psubset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10084)) | hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) )).
% 27.68/27.89 cnf(fact_psubset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), c_Orderings_Obot__class_Obot(tc_fun(_u10078, tc_HOL_Obool))))), _u10084)) | ~hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10080)) )).
% 27.68/27.89 cnf(fact_psubset__insert__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), c_Orderings_Obot__class_Obot(tc_fun(_u10078, tc_HOL_Obool))))), _u10084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) )).
% 27.68/27.89 cnf(fact_psubset__insert__iff-7, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) | ~hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10084)) )).
% 27.68/27.89 cnf(fact_psubset__insert__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) | hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) )).
% 27.68/27.89 cnf(fact_psubset__insert__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), c_Orderings_Obot__class_Obot(tc_fun(_u10078, tc_HOL_Obool))))), _u10084)) | ~hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10080)) )).
% 27.68/27.89 cnf(fact_psubset__insert__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), c_Orderings_Obot__class_Obot(tc_fun(_u10078, tc_HOL_Obool))))), _u10084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__diff1__nat ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__diff1__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10089), _u10091), _u10093)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10089, tc_Nat_Onat), _u10095), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10089, tc_HOL_Obool)), _u10093), hAPP(hAPP(c_Set_Oinsert(_u10089), _u10091), c_Orderings_Obot__class_Obot(tc_fun(_u10089, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10089, tc_Nat_Onat), _u10095), _u10093)), hAPP(_u10095, _u10091))) )).
% 27.68/27.89 cnf(fact_setsum__diff1__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u10090), _u10092), _u10094)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10090, tc_Nat_Onat), _u10096), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10090, tc_HOL_Obool)), _u10094), hAPP(hAPP(c_Set_Oinsert(_u10090), _u10092), c_Orderings_Obot__class_Obot(tc_fun(_u10090, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10090, tc_Nat_Onat), _u10096), _u10094)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__diff1_H ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__diff1_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10097) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10098), _u10099)) | ~hBOOL(hAPP(hAPP(c_member(_u10098), _u10100), _u10099)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10098, _u10097), _u10101), _u10099) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10097), hAPP(_u10101, _u10100)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10098, _u10097), _u10101), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10098, tc_HOL_Obool)), _u10099), hAPP(hAPP(c_Set_Oinsert(_u10098), _u10100), c_Orderings_Obot__class_Obot(tc_fun(_u10098, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum_Oremove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10103), _u10104)) | ~hBOOL(hAPP(hAPP(c_member(_u10103), _u10105), _u10104)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10103, _u10102), _u10106), _u10104) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10102), hAPP(_u10106, _u10105)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10103, _u10102), _u10106), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10103, tc_HOL_Obool)), _u10104), hAPP(hAPP(c_Set_Oinsert(_u10103), _u10105), c_Orderings_Obot__class_Obot(tc_fun(_u10103, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__diff1__ring ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__diff1__ring-1, axiom, ( ~class_Rings_Oring(_u10107) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10108), _u10109)) | ~hBOOL(hAPP(hAPP(c_member(_u10108), _u10110), _u10109)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10108, _u10107), _u10111), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10108, tc_HOL_Obool)), _u10109), hAPP(hAPP(c_Set_Oinsert(_u10108), _u10110), c_Orderings_Obot__class_Obot(tc_fun(_u10108, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10107), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10108, _u10107), _u10111), _u10109)), hAPP(_u10111, _u10110))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__diff1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__diff1-1, axiom, ( ~class_Groups_Oab__group__add(_u10112) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10113), _u10114)) | ~hBOOL(hAPP(hAPP(c_member(_u10113), _u10115), _u10114)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10113, _u10112), _u10116), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10113, tc_HOL_Obool)), _u10114), hAPP(hAPP(c_Set_Oinsert(_u10113), _u10115), c_Orderings_Obot__class_Obot(tc_fun(_u10113, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10112), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10113, _u10112), _u10116), _u10114)), hAPP(_u10116, _u10115))) )).
% 27.68/27.89 cnf(fact_setsum__diff1-2, axiom, ( ~class_Groups_Oab__group__add(_u10112) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10113), _u10114)) | hBOOL(hAPP(hAPP(c_member(_u10113), _u10115), _u10114)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10113, _u10112), _u10116), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10113, tc_HOL_Obool)), _u10114), hAPP(hAPP(c_Set_Oinsert(_u10113), _u10115), c_Orderings_Obot__class_Obot(tc_fun(_u10113, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10113, _u10112), _u10116), _u10114)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card__Suc__Diff1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card__Suc__Diff1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10117), _u10118)) | ~hBOOL(hAPP(hAPP(c_member(_u10117), _u10119), _u10118)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10117), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10117, tc_HOL_Obool)), _u10118), hAPP(hAPP(c_Set_Oinsert(_u10117), _u10119), c_Orderings_Obot__class_Obot(tc_fun(_u10117, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u10117), _u10118)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card__Diff1__less ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card__Diff1__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10120), _u10121)) | ~hBOOL(hAPP(hAPP(c_member(_u10120), _u10122), _u10121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10120), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10120, tc_HOL_Obool)), _u10121), hAPP(hAPP(c_Set_Oinsert(_u10120), _u10122), c_Orderings_Obot__class_Obot(tc_fun(_u10120, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10120), _u10121))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card__Diff2__less ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card__Diff2__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10123), _u10124)) | ~hBOOL(hAPP(hAPP(c_member(_u10123), _u10125), _u10124)) | ~hBOOL(hAPP(hAPP(c_member(_u10123), _u10126), _u10124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10123), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10123, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10123, tc_HOL_Obool)), _u10124), hAPP(hAPP(c_Set_Oinsert(_u10123), _u10125), c_Orderings_Obot__class_Obot(tc_fun(_u10123, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u10123), _u10126), c_Orderings_Obot__class_Obot(tc_fun(_u10123, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10123), _u10124))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card__Diff__insert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10127), _u10128)) | ~hBOOL(hAPP(hAPP(c_member(_u10127), _u10129), _u10128)) | hBOOL(hAPP(hAPP(c_member(_u10127), _u10129), _u10130)) | ( hAPP(c_Finite__Set_Ocard(_u10127), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10127, tc_HOL_Obool)), _u10128), hAPP(hAPP(c_Set_Oinsert(_u10127), _u10129), _u10130))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10127), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10127, tc_HOL_Obool)), _u10128), _u10130))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card_Oremove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10131), _u10132)) | ~hBOOL(hAPP(hAPP(c_member(_u10131), _u10133), _u10132)) | ( hAPP(c_Finite__Set_Ocard(_u10131), _u10132) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10131), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10131, tc_HOL_Obool)), _u10132), hAPP(hAPP(c_Set_Oinsert(_u10131), _u10133), c_Orderings_Obot__class_Obot(tc_fun(_u10131, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_in__rel__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u10139, _u10141, _u10143), _u10145), _u10147)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10139, _u10141)), hAPP(hAPP(c_Product__Type_OPair(_u10139, _u10141), _u10145), _u10147)), _u10143)) )).
% 27.68/27.89 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10140, _u10142)), hAPP(hAPP(c_Product__Type_OPair(_u10140, _u10142), _u10146), _u10148)), _u10144)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u10140, _u10142, _u10144), _u10146), _u10148)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_transfer__int__nat__sum__prod2_I1_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_transfer__int__nat__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10150, tc_Int_Oint), _u10152), _u10151) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10150, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10150), c_Int_Onat), _u10152)), _u10151))) | hBOOL(hAPP(hAPP(c_member(_u10150), skolem179(_u10152, _u10151, _u10150)), _u10151)) )).
% 27.68/27.89 cnf(fact_transfer__int__nat__sum__prod2_I1_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10150, tc_Int_Oint), _u10152), _u10151) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10150, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10150), c_Int_Onat), _u10152)), _u10151))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u10152, skolem179(_u10152, _u10151, _u10150))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_aset_I6_J ( axiom ) converted to clauses:
% 27.68/27.89 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)), _u10156)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10157), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10158)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10155), _u10157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10155), _u10156)), _u10157)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem180(_u10158, _u10157, _u10156, _u10155)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10156))) )).
% 27.68/27.89 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)), _u10156)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10157), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10158)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10155), _u10157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10155), _u10156)), _u10157)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem181(_u10158, _u10157, _u10156, _u10155)), _u10158)) )).
% 27.68/27.89 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)), _u10156)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10157), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10158)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10155), _u10157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10155), _u10156)), _u10157)) | ( _u10155 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem181(_u10158, _u10157, _u10156, _u10155)), skolem180(_u10158, _u10157, _u10156, _u10155))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_bset_I8_J ( axiom ) converted to clauses:
% 27.68/27.89 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)), _u10162)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10163), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10163), _u10161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10161), _u10162))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem182(_u10164, _u10163, _u10162, _u10161)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10162))) )).
% 27.68/27.89 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)), _u10162)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10163), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10163), _u10161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10161), _u10162))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem183(_u10164, _u10163, _u10162, _u10161)), _u10164)) )).
% 27.68/27.89 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)), _u10162)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10163), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10163), _u10161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10161), _u10162))) | ( _u10161 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem183(_u10164, _u10163, _u10162, _u10161)), skolem182(_u10164, _u10163, _u10162, _u10161))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_sup2CI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_sup2CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10169, tc_fun(_u10170, tc_HOL_Obool))), _u10168), _u10165), _u10166), _u10167)) | ~hBOOL(hAPP(hAPP(_u10165, _u10166), _u10167)) )).
% 27.68/27.89 cnf(fact_sup2CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10169, tc_fun(_u10170, tc_HOL_Obool))), _u10168), _u10165), _u10166), _u10167)) | ~hBOOL(hAPP(hAPP(_u10168, _u10166), _u10167)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_sup2E ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_sup2E-1, axiom, ( hBOOL(hAPP(hAPP(_u10173, _u10175), _u10176)) | hBOOL(hAPP(hAPP(_u10174, _u10175), _u10176)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10171, tc_fun(_u10172, tc_HOL_Obool))), _u10173), _u10174), _u10175), _u10176)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_bot2E ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_bot2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u10177, tc_fun(_u10178, tc_HOL_Obool))), _u10179), _u10180)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_less__by__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_less__by__empty-1, axiom, ( ( _u10181 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10182, _u10182), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10182, _u10182), tc_HOL_Obool)), _u10181), _u10183)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_SUP2__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_SUP2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10193, tc_fun(_u10195, tc_fun(_u10197, tc_HOL_Obool))), _u10199), _u10201), _u10203), _u10205)) | hBOOL(hAPP(hAPP(c_member(_u10193), skolem184(_u10205, _u10203, _u10201, _u10199, _u10197, _u10195, _u10193)), _u10199)) )).
% 27.68/27.89 cnf(fact_SUP2__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10193, tc_fun(_u10195, tc_fun(_u10197, tc_HOL_Obool))), _u10199), _u10201), _u10203), _u10205)) | hBOOL(hAPP(hAPP(hAPP(_u10201, skolem184(_u10205, _u10203, _u10201, _u10199, _u10197, _u10195, _u10193)), _u10203), _u10205)) )).
% 27.68/27.89 cnf(fact_SUP2__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10194), _u10185), _u10200)) | ~hBOOL(hAPP(hAPP(hAPP(_u10202, _u10185), _u10204), _u10206)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10194, tc_fun(_u10196, tc_fun(_u10198, tc_HOL_Obool))), _u10200), _u10202), _u10204), _u10206)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_sup2I2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_sup2I2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10207, _u10208), _u10209)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10210, tc_fun(_u10211, tc_HOL_Obool))), _u10212), _u10207), _u10208), _u10209)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_sup2I1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_sup2I1-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10213, _u10214), _u10215)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10216, tc_fun(_u10217, tc_HOL_Obool))), _u10213), _u10218), _u10214), _u10215)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u10223, _u10225) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10223, _u10223)), hAPP(hAPP(c_Product__Type_OPair(_u10223, _u10223), _u10219), _u10219)), _u10225)) )).
% 27.68/27.89 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10224, _u10224)), hAPP(hAPP(c_Product__Type_OPair(_u10224, _u10224), skolem185(_u10226, _u10224)), skolem185(_u10226, _u10224))), _u10226)) | c_Nitpick_Orefl_H(_u10224, _u10226) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_dvd_OlessThan__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_dvd_OlessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10229), 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)))), _u10231))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10229), _u10231)) )).
% 27.68/27.89 cnf(fact_dvd_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10229), 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)))), _u10231))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10231), _u10229)) )).
% 27.68/27.89 cnf(fact_dvd_OlessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10230), _u10232)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10232), _u10230)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10230), 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)))), _u10232))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_dvd_OgreaterThan__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_dvd_OgreaterThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10235), 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)))), _u10237))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10237), _u10235)) )).
% 27.68/27.89 cnf(fact_dvd_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10235), 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)))), _u10237))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10235), _u10237)) )).
% 27.68/27.89 cnf(fact_dvd_OgreaterThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10238), _u10236)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10236), _u10238)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10236), 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)))), _u10238))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ord_OlessThan__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ord_OlessThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u10247, _u10245), _u10249)) | ~hBOOL(hAPP(hAPP(c_member(_u10243), _u10245), c_SetInterval_Oord_OlessThan(_u10243, _u10247, _u10249))) )).
% 27.68/27.89 cnf(fact_ord_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u10248, _u10246), _u10250)) | hBOOL(hAPP(hAPP(c_member(_u10244), _u10246), c_SetInterval_Oord_OlessThan(_u10244, _u10248, _u10250))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ord_OgreaterThan__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ord_OgreaterThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u10259, _u10261), _u10257)) | ~hBOOL(hAPP(hAPP(c_member(_u10255), _u10257), c_SetInterval_Oord_OgreaterThan(_u10255, _u10259, _u10261))) )).
% 27.68/27.89 cnf(fact_ord_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u10260, _u10262), _u10258)) | hBOOL(hAPP(hAPP(c_member(_u10256), _u10258), c_SetInterval_Oord_OgreaterThan(_u10256, _u10260, _u10262))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_bset_I3_J ( axiom ) converted to clauses:
% 27.68/27.89 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)), _u10265)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10266), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10267)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10266), _u10265) = _u10266) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem186(_u10267, _u10266, _u10265)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10265))) )).
% 27.68/27.89 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)), _u10265)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10266), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10267)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10266), _u10265) = _u10266) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem187(_u10267, _u10266, _u10265)), _u10267)) )).
% 27.68/27.89 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)), _u10265)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10266), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10267)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10266), _u10265) = _u10266) | ( _u10266 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem187(_u10267, _u10266, _u10265)), skolem186(_u10267, _u10266, _u10265))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_aset_I3_J ( axiom ) converted to clauses:
% 27.68/27.89 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)), _u10270)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10271), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10272)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10271), _u10270) = _u10271) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem188(_u10272, _u10271, _u10270)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10270))) )).
% 27.68/27.89 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)), _u10270)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10271), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10272)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10271), _u10270) = _u10271) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem189(_u10272, _u10271, _u10270)), _u10272)) )).
% 27.68/27.89 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)), _u10270)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10271), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10272)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10271), _u10270) = _u10271) | ( _u10271 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem189(_u10272, _u10271, _u10270)), skolem188(_u10272, _u10271, _u10270))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_aset_I5_J ( axiom ) converted to clauses:
% 27.68/27.89 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)), _u10276)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10277), _u10278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10275), _u10277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10275), _u10276)), _u10277)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem190(_u10278, _u10277, _u10276, _u10275)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10276))) )).
% 27.68/27.89 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)), _u10276)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10277), _u10278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10275), _u10277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10275), _u10276)), _u10277)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem191(_u10278, _u10277, _u10276, _u10275)), _u10278)) )).
% 27.68/27.89 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)), _u10276)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10277), _u10278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10275), _u10277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10275), _u10276)), _u10277)) | ( _u10275 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem191(_u10278, _u10277, _u10276, _u10275)), skolem190(_u10278, _u10277, _u10276, _u10275))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_aset_I4_J ( axiom ) converted to clauses:
% 27.68/27.89 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)), _u10282)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10283), _u10284)) | ( _u10281 = _u10283) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10281), _u10282) != _u10283) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem192(_u10284, _u10283, _u10282, _u10281)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10282))) )).
% 27.68/27.89 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)), _u10282)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10283), _u10284)) | ( _u10281 = _u10283) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10281), _u10282) != _u10283) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem193(_u10284, _u10283, _u10282, _u10281)), _u10284)) )).
% 27.68/27.89 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)), _u10282)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10283), _u10284)) | ( _u10281 = _u10283) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10281), _u10282) != _u10283) | ( _u10281 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem193(_u10284, _u10283, _u10282, _u10281)), skolem192(_u10284, _u10283, _u10282, _u10281))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_bset_I4_J ( axiom ) converted to clauses:
% 27.68/27.89 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)), _u10288)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10289), _u10290)) | ( _u10287 = _u10289) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10287), _u10288) != _u10289) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem194(_u10290, _u10289, _u10288, _u10287)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10288))) )).
% 27.68/27.89 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)), _u10288)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10289), _u10290)) | ( _u10287 = _u10289) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10287), _u10288) != _u10289) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem195(_u10290, _u10289, _u10288, _u10287)), _u10290)) )).
% 27.68/27.89 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)), _u10288)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10289), _u10290)) | ( _u10287 = _u10289) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10287), _u10288) != _u10289) | ( _u10287 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem195(_u10290, _u10289, _u10288, _u10287)), skolem194(_u10290, _u10289, _u10288, _u10287))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_bset_I7_J ( axiom ) converted to clauses:
% 27.68/27.89 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)), _u10294)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10295), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10295), _u10293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10295), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10293), _u10294))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem196(_u10296, _u10295, _u10294, _u10293)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10294))) )).
% 27.68/27.89 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)), _u10294)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10295), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10295), _u10293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10295), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10293), _u10294))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem197(_u10296, _u10295, _u10294, _u10293)), _u10296)) )).
% 27.68/27.89 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)), _u10294)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10295), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10295), _u10293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10295), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10293), _u10294))) | ( _u10293 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem197(_u10296, _u10295, _u10294, _u10293)), skolem196(_u10296, _u10295, _u10294, _u10293))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_in__measure ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_in__measure-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10307, _u10303)), hAPP(_u10307, _u10305))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10301, _u10301)), hAPP(hAPP(c_Product__Type_OPair(_u10301, _u10301), _u10303), _u10305)), hAPP(c_Wellfounded_Omeasure(_u10301), _u10307))) )).
% 27.68/27.89 cnf(fact_in__measure-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10308, _u10304)), hAPP(_u10308, _u10306))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10302, _u10302)), hAPP(hAPP(c_Product__Type_OPair(_u10302, _u10302), _u10304), _u10306)), hAPP(c_Wellfounded_Omeasure(_u10302), _u10308))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_dvd_OatLeast__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_dvd_OatLeast__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10311), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10313))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10313), _u10311)) )).
% 27.68/27.89 cnf(fact_dvd_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10314), _u10312)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10312), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10314))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_dvd_OatMost__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_dvd_OatMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10317), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10319))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10317), _u10319)) )).
% 27.68/27.89 cnf(fact_dvd_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10318), _u10320)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10318), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10320))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ord_OatLeast__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ord_OatLeast__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u10329, _u10331), _u10327)) | ~hBOOL(hAPP(hAPP(c_member(_u10325), _u10327), c_SetInterval_Oord_OatLeast(_u10325, _u10329, _u10331))) )).
% 27.68/27.89 cnf(fact_ord_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u10330, _u10332), _u10328)) | hBOOL(hAPP(hAPP(c_member(_u10326), _u10328), c_SetInterval_Oord_OatLeast(_u10326, _u10330, _u10332))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ord_OatMost__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ord_OatMost__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u10341, _u10339), _u10343)) | ~hBOOL(hAPP(hAPP(c_member(_u10337), _u10339), c_SetInterval_Oord_OatMost(_u10337, _u10341, _u10343))) )).
% 27.68/27.89 cnf(fact_ord_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u10342, _u10340), _u10344)) | hBOOL(hAPP(hAPP(c_member(_u10338), _u10340), c_SetInterval_Oord_OatMost(_u10338, _u10342, _u10344))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__one_Oremove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__one_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u10345, _u10346, _u10347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10345), _u10348)) | ~hBOOL(hAPP(hAPP(c_member(_u10345), _u10349), _u10348)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10345, tc_HOL_Obool)), _u10348), hAPP(hAPP(c_Set_Oinsert(_u10345), _u10349), c_Orderings_Obot__class_Obot(tc_fun(_u10345, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10345, tc_HOL_Obool))) | ( hAPP(_u10347, _u10348) = _u10349) )).
% 27.68/27.89 cnf(fact_folding__one_Oremove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u10345, _u10346, _u10347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10345), _u10348)) | ~hBOOL(hAPP(hAPP(c_member(_u10345), _u10349), _u10348)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10345, tc_HOL_Obool)), _u10348), hAPP(hAPP(c_Set_Oinsert(_u10345), _u10349), c_Orderings_Obot__class_Obot(tc_fun(_u10345, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10345, tc_HOL_Obool))) | ( hAPP(_u10347, _u10348) = hAPP(hAPP(_u10346, _u10349), hAPP(_u10347, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10345, tc_HOL_Obool)), _u10348), hAPP(hAPP(c_Set_Oinsert(_u10345), _u10349), c_Orderings_Obot__class_Obot(tc_fun(_u10345, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fold__graph_H_Ointros_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fold__graph_H_Ointros_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10350), _u10351), _u10352)) | ~c_Nitpick_Ofold__graph_H(_u10350, _u10353, _u10354, _u10355, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10350, tc_HOL_Obool)), _u10352), hAPP(hAPP(c_Set_Oinsert(_u10350), _u10351), c_Orderings_Obot__class_Obot(tc_fun(_u10350, tc_HOL_Obool)))), _u10356) | c_Nitpick_Ofold__graph_H(_u10350, _u10353, _u10354, _u10355, _u10352, hAPP(hAPP(_u10354, _u10351), _u10356)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__mono2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__mono2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u10358) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10359), _u10360)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10359, tc_HOL_Obool)), _u10361), _u10360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10358), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10359, _u10358), _u10362), _u10361)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10359, _u10358), _u10362), _u10360))) | hBOOL(hAPP(hAPP(c_member(_u10359), skolem198(_u10362, _u10361, _u10360, _u10359, _u10358)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10359, tc_HOL_Obool)), _u10360), _u10361))) )).
% 27.68/27.89 cnf(fact_setsum__mono2-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u10358) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10359), _u10360)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10359, tc_HOL_Obool)), _u10361), _u10360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10358), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10359, _u10358), _u10362), _u10361)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10359, _u10358), _u10362), _u10360))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10358), c_Groups_Ozero__class_Ozero(_u10358)), hAPP(_u10362, skolem198(_u10362, _u10361, _u10360, _u10359, _u10358)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fold__graph_H_Oequations_I1_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fold__graph_H_Oequations_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u10363, _u10364, _u10365, _u10366, c_Orderings_Obot__class_Obot(tc_fun(_u10363, tc_HOL_Obool)), _u10366) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fold__graph_H_Ointros_I1_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fold__graph_H_Ointros_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u10367, _u10368, _u10369, _u10370, c_Orderings_Obot__class_Obot(tc_fun(_u10367, tc_HOL_Obool)), _u10370) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__one_Osingleton ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__one_Osingleton-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u10371, _u10372, _u10373) | ( hAPP(_u10373, hAPP(hAPP(c_Set_Oinsert(_u10371), _u10374), c_Orderings_Obot__class_Obot(tc_fun(_u10371, tc_HOL_Obool)))) = _u10374) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__one_Oinsert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__one_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u10375, _u10376, _u10377) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10375), _u10378)) | hBOOL(hAPP(hAPP(c_member(_u10375), _u10379), _u10378)) | ( _u10378 = c_Orderings_Obot__class_Obot(tc_fun(_u10375, tc_HOL_Obool))) | ( hAPP(_u10377, hAPP(hAPP(c_Set_Oinsert(_u10375), _u10379), _u10378)) = hAPP(hAPP(_u10376, _u10379), hAPP(_u10377, _u10378))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__one_Oinsert__remove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__one_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u10380, _u10381, _u10382) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10380), _u10383)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10380, tc_HOL_Obool)), _u10383), hAPP(hAPP(c_Set_Oinsert(_u10380), _u10384), c_Orderings_Obot__class_Obot(tc_fun(_u10380, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10380, tc_HOL_Obool))) | ( hAPP(_u10382, hAPP(hAPP(c_Set_Oinsert(_u10380), _u10384), _u10383)) = _u10384) )).
% 27.68/27.89 cnf(fact_folding__one_Oinsert__remove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u10380, _u10381, _u10382) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10380), _u10383)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10380, tc_HOL_Obool)), _u10383), hAPP(hAPP(c_Set_Oinsert(_u10380), _u10384), c_Orderings_Obot__class_Obot(tc_fun(_u10380, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10380, tc_HOL_Obool))) | ( hAPP(_u10382, hAPP(hAPP(c_Set_Oinsert(_u10380), _u10384), _u10383)) = hAPP(hAPP(_u10381, _u10384), hAPP(_u10382, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10380, tc_HOL_Obool)), _u10383), hAPP(hAPP(c_Set_Oinsert(_u10380), _u10384), c_Orderings_Obot__class_Obot(tc_fun(_u10380, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_flat__lub__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_flat__lub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10388, tc_HOL_Obool)), _u10390), hAPP(hAPP(c_Set_Oinsert(_u10388), _u10392), c_Orderings_Obot__class_Obot(tc_fun(_u10388, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u10388, _u10392, _u10390) = _u10392) )).
% 27.68/27.89 cnf(fact_flat__lub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10389, tc_HOL_Obool)), _u10391), hAPP(hAPP(c_Set_Oinsert(_u10389), _u10393), c_Orderings_Obot__class_Obot(tc_fun(_u10389, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u10389, _u10393, _u10391) = c_HOL_OThe(_u10389, hAPP(hAPP(c_COMBC(_u10389, tc_fun(_u10389, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10389)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10389, tc_HOL_Obool)), _u10391), hAPP(hAPP(c_Set_Oinsert(_u10389), _u10393), c_Orderings_Obot__class_Obot(tc_fun(_u10389, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_mlex__leq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_mlex__leq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u10394, _u10395)), hAPP(_u10394, _u10396))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10397, _u10397)), hAPP(hAPP(c_Product__Type_OPair(_u10397, _u10397), _u10395), _u10396)), _u10398)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10397, _u10397)), hAPP(hAPP(c_Product__Type_OPair(_u10397, _u10397), _u10395), _u10396)), c_Wellfounded_Omlex__prod(_u10397, _u10394, _u10398))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_mlex__less ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_mlex__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10399, _u10400)), hAPP(_u10399, _u10401))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10402, _u10402)), hAPP(hAPP(c_Product__Type_OPair(_u10402, _u10402), _u10400), _u10401)), c_Wellfounded_Omlex__prod(_u10402, _u10399, _u10403))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__bounded ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__bounded-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u10405) | ~class_Rings_Osemiring__1(_u10405) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10405), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10406, _u10405), _u10408), _u10407)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10405), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10405), hAPP(c_Finite__Set_Ocard(_u10406), _u10407))), _u10409))) | hBOOL(hAPP(hAPP(c_member(_u10406), skolem199(_u10409, _u10408, _u10407, _u10406, _u10405)), _u10407)) )).
% 27.68/27.89 cnf(fact_setsum__bounded-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u10405) | ~class_Rings_Osemiring__1(_u10405) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10405), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10406, _u10405), _u10408), _u10407)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10405), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10405), hAPP(c_Finite__Set_Ocard(_u10406), _u10407))), _u10409))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10405), hAPP(_u10408, skolem199(_u10409, _u10408, _u10407, _u10406, _u10405))), _u10409)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card__Suc__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card__Suc__eq-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10417), _u10419) != hAPP(c_Nat_OSuc, _u10421)) | ( _u10419 = hAPP(hAPP(c_Set_Oinsert(_u10417), skolem200(_u10421, _u10419, _u10417)), skolem201(_u10421, _u10419, _u10417))) )).
% 27.68/27.89 cnf(fact_card__Suc__eq-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10417), _u10419) != hAPP(c_Nat_OSuc, _u10421)) | ~hBOOL(hAPP(hAPP(c_member(_u10417), skolem200(_u10421, _u10419, _u10417)), skolem201(_u10421, _u10419, _u10417))) )).
% 27.68/27.89 cnf(fact_card__Suc__eq-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10417), _u10419) != hAPP(c_Nat_OSuc, _u10421)) | ( hAPP(c_Finite__Set_Ocard(_u10417), skolem201(_u10421, _u10419, _u10417)) = _u10421) )).
% 27.68/27.89 cnf(fact_card__Suc__eq-4, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10417), _u10419) != hAPP(c_Nat_OSuc, _u10421)) | ( _u10421 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem201(_u10421, _u10419, _u10417) = c_Orderings_Obot__class_Obot(tc_fun(_u10417, tc_HOL_Obool))) )).
% 27.68/27.89 cnf(fact_card__Suc__eq-5, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10418), _u10420) = hAPP(c_Nat_OSuc, _u10422)) | ( _u10420 != hAPP(hAPP(c_Set_Oinsert(_u10418), _u10413), _u10412)) | hBOOL(hAPP(hAPP(c_member(_u10418), _u10413), _u10412)) | ( hAPP(c_Finite__Set_Ocard(_u10418), _u10412) != _u10422) | ( _u10422 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.89 cnf(fact_card__Suc__eq-6, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10418), _u10420) = hAPP(c_Nat_OSuc, _u10422)) | ( _u10420 != hAPP(hAPP(c_Set_Oinsert(_u10418), _u10413), _u10412)) | hBOOL(hAPP(hAPP(c_member(_u10418), _u10413), _u10412)) | ( hAPP(c_Finite__Set_Ocard(_u10418), _u10412) != _u10422) | ( _u10412 != c_Orderings_Obot__class_Obot(tc_fun(_u10418, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ord_OgreaterThanAtMost__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ord_OgreaterThanAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10429), _u10431), c_SetInterval_Oord_OgreaterThanAtMost(_u10429, _u10433, _u10435, _u10437, _u10439))) | hBOOL(hAPP(hAPP(_u10435, _u10437), _u10431)) )).
% 27.68/27.89 cnf(fact_ord_OgreaterThanAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10429), _u10431), c_SetInterval_Oord_OgreaterThanAtMost(_u10429, _u10433, _u10435, _u10437, _u10439))) | hBOOL(hAPP(hAPP(_u10433, _u10431), _u10439)) )).
% 27.68/27.89 cnf(fact_ord_OgreaterThanAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u10436, _u10438), _u10432)) | ~hBOOL(hAPP(hAPP(_u10434, _u10432), _u10440)) | hBOOL(hAPP(hAPP(c_member(_u10430), _u10432), c_SetInterval_Oord_OgreaterThanAtMost(_u10430, _u10434, _u10436, _u10438, _u10440))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_dvd_OgreaterThanAtMost__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_dvd_OgreaterThanAtMost__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10441), _u10442)) | ( 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)))), _u10442, _u10441) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 27.68/27.89 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)))), _u10445, _u10447) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10445), _u10447)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10447), _u10445)) )).
% 27.68/27.89 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)))), _u10446, _u10448) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10446), _u10448)) )).
% 27.68/27.89 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)))), _u10446, _u10448) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10448), _u10446)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 27.68/27.89 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)))), _u10451, _u10453)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10451), _u10453)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10453), _u10451)) )).
% 27.68/27.89 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)))), _u10452, _u10454)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10452), _u10454)) )).
% 27.68/27.89 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)))), _u10452, _u10454)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10454), _u10452)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ord_OatLeastLessThan__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ord_OatLeastLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10461), _u10463), c_SetInterval_Oord_OatLeastLessThan(_u10461, _u10465, _u10467, _u10469, _u10471))) | hBOOL(hAPP(hAPP(_u10465, _u10469), _u10463)) )).
% 27.68/27.89 cnf(fact_ord_OatLeastLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10461), _u10463), c_SetInterval_Oord_OatLeastLessThan(_u10461, _u10465, _u10467, _u10469, _u10471))) | hBOOL(hAPP(hAPP(_u10467, _u10463), _u10471)) )).
% 27.68/27.89 cnf(fact_ord_OatLeastLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u10466, _u10470), _u10464)) | ~hBOOL(hAPP(hAPP(_u10468, _u10464), _u10472)) | hBOOL(hAPP(hAPP(c_member(_u10462), _u10464), c_SetInterval_Oord_OatLeastLessThan(_u10462, _u10466, _u10468, _u10470, _u10472))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Nats__number__of ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Nats__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10474)) | hBOOL(hAPP(hAPP(c_member(_u10473), hAPP(c_Int_Onumber__class_Onumber__of(_u10473), _u10474)), c_Nat_Osemiring__1__class_ONats(_u10473))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_dvd_OatLeastLessThan__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_dvd_OatLeastLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10475), _u10476)) | ( 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)))), _u10476, _u10475) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Nats__0 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Nats__0-1, axiom, ( ~class_Rings_Osemiring__1(_u10477) | hBOOL(hAPP(hAPP(c_member(_u10477), c_Groups_Ozero__class_Ozero(_u10477)), c_Nat_Osemiring__1__class_ONats(_u10477))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Nats__add ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Nats__add-1, axiom, ( ~class_Rings_Osemiring__1(_u10478) | ~hBOOL(hAPP(hAPP(c_member(_u10478), _u10479), c_Nat_Osemiring__1__class_ONats(_u10478))) | ~hBOOL(hAPP(hAPP(c_member(_u10478), _u10480), c_Nat_Osemiring__1__class_ONats(_u10478))) | hBOOL(hAPP(hAPP(c_member(_u10478), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10478), _u10479), _u10480)), c_Nat_Osemiring__1__class_ONats(_u10478))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Nats__mult ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Nats__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u10481) | ~hBOOL(hAPP(hAPP(c_member(_u10481), _u10482), c_Nat_Osemiring__1__class_ONats(_u10481))) | ~hBOOL(hAPP(hAPP(c_member(_u10481), _u10483), c_Nat_Osemiring__1__class_ONats(_u10481))) | hBOOL(hAPP(hAPP(c_member(_u10481), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10481), _u10482), _u10483)), c_Nat_Osemiring__1__class_ONats(_u10481))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Nats__1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Nats__1-1, axiom, ( ~class_Rings_Osemiring__1(_u10484) | hBOOL(hAPP(hAPP(c_member(_u10484), c_Groups_Oone__class_Oone(_u10484)), c_Nat_Osemiring__1__class_ONats(_u10484))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_of__nat__in__Nats ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_of__nat__in__Nats-1, axiom, ( ~class_Rings_Osemiring__1(_u10485) | hBOOL(hAPP(hAPP(c_member(_u10485), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10485), _u10486)), c_Nat_Osemiring__1__class_ONats(_u10485))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_dvd_OatLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 27.68/27.89 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)))), _u10489, _u10491)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10489), _u10491)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10491), _u10489)) )).
% 27.68/27.89 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)))), _u10490, _u10492)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10490), _u10492)) )).
% 27.68/27.89 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)))), _u10490, _u10492)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10492), _u10490)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_dvd_OatLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 27.68/27.89 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)))), _u10495, _u10497) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10495), _u10497)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10497), _u10495)) )).
% 27.68/27.89 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)))), _u10496, _u10498) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10496), _u10498)) )).
% 27.68/27.89 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)))), _u10496, _u10498) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10498), _u10496)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_hoare__derivs_OCall ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_hoare__derivs_OCall-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10499, _u10500, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10499)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10499), _u10501), hAPP(c_Com_Ocom_OBODY, _u10502)), hAPP(hAPP(c_COMBC(_u10499, 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)), _u10499), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u10503)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ostate, tc_fun(tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), tc_Com_Ostate), c_Natural_Oupdate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_fun(tc_Com_Oloc, tc_Nat_Onat), tc_Com_Ostate), c_Natural_Osetlocs), hAPP(c_Natural_Ogetlocs, _u10504)))), _u10505)), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Oloc, tc_Nat_Onat), c_Natural_Ogetlocs), c_Com_ORes))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10499), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u10499, _u10500, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10499)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10499), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u10499), hAPP(c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj), hAPP(c_fequal, _u10504)))), hAPP(hAPP(c_COMBC(_u10499, 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)), _u10499), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u10501)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ostate, tc_fun(tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), tc_Com_Ostate), c_Natural_Oupdate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_fun(tc_Com_Oloc, tc_Nat_Onat), tc_Com_Ostate), c_Natural_Osetlocs), c_Natural_Onewlocs))), c_Com_Ovname_OLoc(c_Com_OArg))), _u10506)))), c_Com_Ocom_OCall(_u10505, _u10502, _u10506)), _u10503)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10499), tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ints__odd__less__0 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ints__odd__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u10507) | ~hBOOL(hAPP(hAPP(c_member(_u10507), _u10508), c_Int_Oring__1__class_OInts(_u10507))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10507), c_Groups_Oone__class_Oone(_u10507)), _u10508)), _u10508)), c_Groups_Ozero__class_Ozero(_u10507))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10507), _u10508), c_Groups_Ozero__class_Ozero(_u10507))) )).
% 27.68/27.89 cnf(fact_Ints__odd__less__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u10507) | ~hBOOL(hAPP(hAPP(c_member(_u10507), _u10508), c_Int_Oring__1__class_OInts(_u10507))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10507), _u10508), c_Groups_Ozero__class_Ozero(_u10507))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10507), c_Groups_Oone__class_Oone(_u10507)), _u10508)), _u10508)), c_Groups_Ozero__class_Ozero(_u10507))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Sup__fin_Oremove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Sup__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u10509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10509), _u10510)) | ~hBOOL(hAPP(hAPP(c_member(_u10509), _u10511), _u10510)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10509, tc_HOL_Obool)), _u10510), hAPP(hAPP(c_Set_Oinsert(_u10509), _u10511), c_Orderings_Obot__class_Obot(tc_fun(_u10509, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10509, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10509, _u10510) = _u10511) )).
% 27.68/27.89 cnf(fact_Sup__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u10509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10509), _u10510)) | ~hBOOL(hAPP(hAPP(c_member(_u10509), _u10511), _u10510)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10509, tc_HOL_Obool)), _u10510), hAPP(hAPP(c_Set_Oinsert(_u10509), _u10511), c_Orderings_Obot__class_Obot(tc_fun(_u10509, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10509, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10509, _u10510) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10509), _u10511), c_Big__Operators_Olattice__class_OSup__fin(_u10509, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10509, tc_HOL_Obool)), _u10510), hAPP(hAPP(c_Set_Oinsert(_u10509), _u10511), c_Orderings_Obot__class_Obot(tc_fun(_u10509, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_hoare__derivs_Oinsert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_hoare__derivs_Oinsert-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10512, _u10513, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10512)), _u10514), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10512), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10512, _u10513, _u10515) | c_Hoare__Mirabelle_Ohoare__derivs(_u10512, _u10513, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10512)), _u10514), _u10515)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_hoare__derivs_OSkip ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_hoare__derivs_OSkip-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10516, _u10517, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10516)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10516), _u10518), c_Com_Ocom_OSKIP), _u10518)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10516), tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_hoare__derivs_Oequations_I7_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_hoare__derivs_Oequations_I7_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10519, _u10520, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10519)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10519), _u10521), c_Com_Ocom_OSKIP), _u10521)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10519), tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Comp ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Comp-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10522, _u10523, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10522)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10522), _u10524), _u10525), _u10526)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10522), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10522, _u10523, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10522)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10522), _u10526), _u10527), _u10528)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10522), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u10522, _u10523, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10522)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10522), _u10524), c_Com_Ocom_OSemi(_u10525, _u10527)), _u10528)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10522), tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_hoare__derivs_Oequations_I1_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_hoare__derivs_Oequations_I1_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10529, _u10530, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10529), tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_empty-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10531, _u10532, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10531), tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_weaken ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_weaken-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10533, _u10534, _u10535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10533), tc_HOL_Obool)), _u10536), _u10535)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10533, _u10534, _u10536) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_asm ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_asm-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10537), tc_HOL_Obool)), _u10538), _u10539)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10537, _u10539, _u10538) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_hoare__derivs_Oequations_I8_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_hoare__derivs_Oequations_I8_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10540, _u10541, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10540)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10540), hAPP(hAPP(c_COMBC(_u10540, 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)), _u10540), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u10542)), 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), _u10543)), _u10544))), c_Com_Ocom_OAss(_u10543, _u10544)), _u10542)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10540), tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ass ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ass-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10545, _u10546, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10545)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10545), hAPP(hAPP(c_COMBC(_u10545, 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)), _u10545), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u10547)), 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), _u10548)), _u10549))), c_Com_Ocom_OAss(_u10548, _u10549)), _u10547)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10545), tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_cut ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_cut-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10550, _u10551, _u10552) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10550, _u10553, _u10551) | c_Hoare__Mirabelle_Ohoare__derivs(_u10550, _u10553, _u10552) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_triple_Oinject ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_triple_Oinject-1, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10561), _u10563), _u10565), _u10567) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10561), _u10569), _u10571), _u10573)) | ( _u10563 = _u10569) )).
% 27.68/27.89 cnf(fact_triple_Oinject-2, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10561), _u10563), _u10565), _u10567) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10561), _u10569), _u10571), _u10573)) | ( _u10565 = _u10571) )).
% 27.68/27.89 cnf(fact_triple_Oinject-3, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10561), _u10563), _u10565), _u10567) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10561), _u10569), _u10571), _u10573)) | ( _u10567 = _u10573) )).
% 27.68/27.89 cnf(fact_triple_Oinject-4, axiom, ( ( _u10564 != _u10570) | ( _u10566 != _u10572) | ( _u10568 != _u10574) | ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10562), _u10564), _u10566), _u10568) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10562), _u10570), _u10572), _u10574)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Sup__fin_Osingleton ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Sup__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u10575) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10575, hAPP(hAPP(c_Set_Oinsert(_u10575), _u10576), c_Orderings_Obot__class_Obot(tc_fun(_u10575, tc_HOL_Obool)))) = _u10576) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_hoare__derivs_OBody ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_hoare__derivs_OBody-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10577, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10577), tc_HOL_Obool)), _u10578), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u10577), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577))), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u10577)), _u10579)), c_Com_Ocom_OBODY)), _u10580)), _u10581)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u10577), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577))), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u10577)), _u10579)), 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))), _u10580)), _u10581)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10577, _u10578, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u10577), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577))), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u10577)), _u10579)), c_Com_Ocom_OBODY)), _u10580)), _u10581)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ints__0 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ints__0-1, axiom, ( ~class_Rings_Oring__1(_u10582) | hBOOL(hAPP(hAPP(c_member(_u10582), c_Groups_Ozero__class_Ozero(_u10582)), c_Int_Oring__1__class_OInts(_u10582))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ints__add ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ints__add-1, axiom, ( ~class_Rings_Oring__1(_u10583) | ~hBOOL(hAPP(hAPP(c_member(_u10583), _u10584), c_Int_Oring__1__class_OInts(_u10583))) | ~hBOOL(hAPP(hAPP(c_member(_u10583), _u10585), c_Int_Oring__1__class_OInts(_u10583))) | hBOOL(hAPP(hAPP(c_member(_u10583), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10583), _u10584), _u10585)), c_Int_Oring__1__class_OInts(_u10583))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ints__mult ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ints__mult-1, axiom, ( ~class_Rings_Oring__1(_u10586) | ~hBOOL(hAPP(hAPP(c_member(_u10586), _u10587), c_Int_Oring__1__class_OInts(_u10586))) | ~hBOOL(hAPP(hAPP(c_member(_u10586), _u10588), c_Int_Oring__1__class_OInts(_u10586))) | hBOOL(hAPP(hAPP(c_member(_u10586), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10586), _u10587), _u10588)), c_Int_Oring__1__class_OInts(_u10586))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ints__diff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ints__diff-1, axiom, ( ~class_Rings_Oring__1(_u10589) | ~hBOOL(hAPP(hAPP(c_member(_u10589), _u10590), c_Int_Oring__1__class_OInts(_u10589))) | ~hBOOL(hAPP(hAPP(c_member(_u10589), _u10591), c_Int_Oring__1__class_OInts(_u10589))) | hBOOL(hAPP(hAPP(c_member(_u10589), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10589), _u10590), _u10591)), c_Int_Oring__1__class_OInts(_u10589))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ints__number__of ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ints__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10592) | hBOOL(hAPP(hAPP(c_member(_u10592), hAPP(c_Int_Onumber__class_Onumber__of(_u10592), _u10593)), c_Int_Oring__1__class_OInts(_u10592))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ints__1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ints__1-1, axiom, ( ~class_Rings_Oring__1(_u10594) | hBOOL(hAPP(hAPP(c_member(_u10594), c_Groups_Oone__class_Oone(_u10594)), c_Int_Oring__1__class_OInts(_u10594))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ints__minus ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ints__minus-1, axiom, ( ~class_Rings_Oring__1(_u10595) | ~hBOOL(hAPP(hAPP(c_member(_u10595), _u10596), c_Int_Oring__1__class_OInts(_u10595))) | hBOOL(hAPP(hAPP(c_member(_u10595), hAPP(c_Groups_Ouminus__class_Ouminus(_u10595), _u10596)), c_Int_Oring__1__class_OInts(_u10595))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_hoare__derivs_OLocal ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_hoare__derivs_OLocal-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10597, _u10598, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10597)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10597), _u10599), _u10600), hAPP(hAPP(c_COMBC(_u10597, 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)), _u10597), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u10601)), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), c_Com_Ovname_OLoc(_u10602))), hAPP(hAPP(c_Natural_Ogetlocs, _u10603), _u10602))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10597), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u10597, _u10598, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10597)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10597), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u10597), hAPP(c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj), hAPP(c_fequal, _u10603)))), hAPP(hAPP(c_COMBC(_u10597, 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)), _u10597), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u10599)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), c_Com_Ovname_OLoc(_u10602))), _u10604)))), c_Com_Ocom_OLocal(_u10602, _u10604, _u10600)), _u10601)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10597), tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ints__of__nat ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ints__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u10605) | hBOOL(hAPP(hAPP(c_member(_u10605), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10605), _u10606)), c_Int_Oring__1__class_OInts(_u10605))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ints__power ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ints__power-1, axiom, ( ~class_Rings_Oring__1(_u10607) | ~hBOOL(hAPP(hAPP(c_member(_u10607), _u10608), c_Int_Oring__1__class_OInts(_u10607))) | hBOOL(hAPP(hAPP(c_member(_u10607), hAPP(hAPP(c_Power_Opower__class_Opower(_u10607), _u10608), _u10609)), c_Int_Oring__1__class_OInts(_u10607))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ints__of__int ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ints__of__int-1, axiom, ( ~class_Rings_Oring__1(_u10610) | hBOOL(hAPP(hAPP(c_member(_u10610), hAPP(c_Int_Oring__1__class_Oof__int(_u10610), _u10611)), c_Int_Oring__1__class_OInts(_u10610))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Sup__fin_Oin__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Sup__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u10612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10612), _u10613)) | ~hBOOL(hAPP(hAPP(c_member(_u10612), _u10614), _u10613)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10612), _u10614), c_Big__Operators_Olattice__class_OSup__fin(_u10612, _u10613)) = c_Big__Operators_Olattice__class_OSup__fin(_u10612, _u10613)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ints__double__eq__0__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ints__double__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u10615) | ~hBOOL(hAPP(hAPP(c_member(_u10615), _u10616), c_Int_Oring__1__class_OInts(_u10615))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10615), _u10616), _u10616) != c_Groups_Ozero__class_Ozero(_u10615)) | ( _u10616 = c_Groups_Ozero__class_Ozero(_u10615)) )).
% 27.68/27.89 cnf(fact_Ints__double__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u10615) | ~hBOOL(hAPP(hAPP(c_member(_u10615), _u10616), c_Int_Oring__1__class_OInts(_u10615))) | ( _u10616 != c_Groups_Ozero__class_Ozero(_u10615)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10615), _u10616), _u10616) = c_Groups_Ozero__class_Ozero(_u10615)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Sup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Sup__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u10617) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10617), _u10618)) | ( _u10618 = c_Orderings_Obot__class_Obot(tc_fun(_u10617, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10617, hAPP(hAPP(c_Set_Oinsert(_u10617), _u10619), _u10618)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10617), _u10619), c_Big__Operators_Olattice__class_OSup__fin(_u10617, _u10618))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Sup__fin_Osubset__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Sup__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u10620) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10620), _u10621)) | ( _u10622 = c_Orderings_Obot__class_Obot(tc_fun(_u10620, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10620, tc_HOL_Obool)), _u10622), _u10621)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10620), c_Big__Operators_Olattice__class_OSup__fin(_u10620, _u10622)), c_Big__Operators_Olattice__class_OSup__fin(_u10620, _u10621)) = c_Big__Operators_Olattice__class_OSup__fin(_u10620, _u10621)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Sup__fin_Ounion__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Sup__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u10623) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10623), _u10624)) | ( _u10624 = c_Orderings_Obot__class_Obot(tc_fun(_u10623, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10623), _u10625)) | ( _u10625 = c_Orderings_Obot__class_Obot(tc_fun(_u10623, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10623, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10623, tc_HOL_Obool)), _u10624), _u10625)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10623), c_Big__Operators_Olattice__class_OSup__fin(_u10623, _u10624)), c_Big__Operators_Olattice__class_OSup__fin(_u10623, _u10625))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Ints__odd__nonzero ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Ints__odd__nonzero-1, axiom, ( ~class_Int_Oring__char__0(_u10626) | ~hBOOL(hAPP(hAPP(c_member(_u10626), _u10627), c_Int_Oring__1__class_OInts(_u10626))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10626), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10626), c_Groups_Oone__class_Oone(_u10626)), _u10627)), _u10627) != c_Groups_Ozero__class_Ozero(_u10626)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Sup__fin_Oinsert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Sup__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u10628) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10628), _u10629)) | hBOOL(hAPP(hAPP(c_member(_u10628), _u10630), _u10629)) | ( _u10629 = c_Orderings_Obot__class_Obot(tc_fun(_u10628, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10628, hAPP(hAPP(c_Set_Oinsert(_u10628), _u10630), _u10629)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10628), _u10630), c_Big__Operators_Olattice__class_OSup__fin(_u10628, _u10629))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Sup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Sup__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u10631) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10631), _u10632)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10631, tc_HOL_Obool)), _u10632), hAPP(hAPP(c_Set_Oinsert(_u10631), _u10633), c_Orderings_Obot__class_Obot(tc_fun(_u10631, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10631, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10631, hAPP(hAPP(c_Set_Oinsert(_u10631), _u10633), _u10632)) = _u10633) )).
% 27.68/27.89 cnf(fact_Sup__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u10631) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10631), _u10632)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10631, tc_HOL_Obool)), _u10632), hAPP(hAPP(c_Set_Oinsert(_u10631), _u10633), c_Orderings_Obot__class_Obot(tc_fun(_u10631, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10631, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10631, hAPP(hAPP(c_Set_Oinsert(_u10631), _u10633), _u10632)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10631), _u10633), c_Big__Operators_Olattice__class_OSup__fin(_u10631, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10631, tc_HOL_Obool)), _u10632), hAPP(hAPP(c_Set_Oinsert(_u10631), _u10633), c_Orderings_Obot__class_Obot(tc_fun(_u10631, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_triple_Osize_I1_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_triple_Osize_I1_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u10634, _u10635, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10634), _u10636), _u10637), _u10638)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_MGT__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_MGT__def-1, axiom, ( ( c_Hoare__Mirabelle_OMGT(_u10639) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), _u10639), c_Natural_Oevalc(_u10639))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_triple_Osize_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_triple_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u10640)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10640), _u10641), _u10642), _u10643)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_triple_Orecs ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_triple_Orecs-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u10644, _u10645, _u10646, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10644), _u10647), _u10648), _u10649)) = hAPP(hAPP(hAPP(_u10646, _u10647), _u10648), _u10649)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_triple_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_triple_Osimps_I2_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u10650, _u10651, _u10652, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10650), _u10653), _u10654), _u10655)) = hAPP(hAPP(hAPP(_u10652, _u10653), _u10654), _u10655)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Sup__fin_Oclosed ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Sup__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u10658) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10658), _u10659)) | ( _u10659 = c_Orderings_Obot__class_Obot(tc_fun(_u10658, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10658), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10658), skolem202(_u10659, _u10658)), skolem203(_u10659, _u10658))), hAPP(hAPP(c_Set_Oinsert(_u10658), skolem202(_u10659, _u10658)), hAPP(hAPP(c_Set_Oinsert(_u10658), skolem203(_u10659, _u10658)), c_Orderings_Obot__class_Obot(tc_fun(_u10658, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10658), c_Big__Operators_Olattice__class_OSup__fin(_u10658, _u10659)), _u10659)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max_Oremove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u10660) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10660), _u10661)) | ~hBOOL(hAPP(hAPP(c_member(_u10660), _u10662), _u10661)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10660, tc_HOL_Obool)), _u10661), hAPP(hAPP(c_Set_Oinsert(_u10660), _u10662), c_Orderings_Obot__class_Obot(tc_fun(_u10660, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10660, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10660, _u10661) = _u10662) )).
% 27.68/27.89 cnf(fact_Max_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u10660) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10660), _u10661)) | ~hBOOL(hAPP(hAPP(c_member(_u10660), _u10662), _u10661)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10660, tc_HOL_Obool)), _u10661), hAPP(hAPP(c_Set_Oinsert(_u10660), _u10662), c_Orderings_Obot__class_Obot(tc_fun(_u10660, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10660, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10660, _u10661) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10660), _u10662), c_Big__Operators_Olinorder__class_OMax(_u10660, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10660, tc_HOL_Obool)), _u10661), hAPP(hAPP(c_Set_Oinsert(_u10660), _u10662), c_Orderings_Obot__class_Obot(tc_fun(_u10660, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min_Oremove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u10663) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10663), _u10664)) | ~hBOOL(hAPP(hAPP(c_member(_u10663), _u10665), _u10664)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10663, tc_HOL_Obool)), _u10664), hAPP(hAPP(c_Set_Oinsert(_u10663), _u10665), c_Orderings_Obot__class_Obot(tc_fun(_u10663, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10663, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10663, _u10664) = _u10665) )).
% 27.68/27.89 cnf(fact_Min_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u10663) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10663), _u10664)) | ~hBOOL(hAPP(hAPP(c_member(_u10663), _u10665), _u10664)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10663, tc_HOL_Obool)), _u10664), hAPP(hAPP(c_Set_Oinsert(_u10663), _u10665), c_Orderings_Obot__class_Obot(tc_fun(_u10663, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10663, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10663, _u10664) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10663), _u10665), c_Big__Operators_Olinorder__class_OMin(_u10663, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10663, tc_HOL_Obool)), _u10664), hAPP(hAPP(c_Set_Oinsert(_u10663), _u10665), c_Orderings_Obot__class_Obot(tc_fun(_u10663, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_iso__tuple__UNIV__I ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_iso__tuple__UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u10666), _u10667), c_Orderings_Otop__class_Otop(tc_fun(_u10666, tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_minus__Max__eq__Min ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_minus__Max__eq__Min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u10668) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10668), _u10669)) | ( _u10669 = c_Orderings_Obot__class_Obot(tc_fun(_u10668, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10668), c_Big__Operators_Olinorder__class_OMax(_u10668, _u10669)) = c_Big__Operators_Olinorder__class_OMin(_u10668, hAPP(c_Set_Oimage(_u10668, _u10668, c_Groups_Ouminus__class_Ouminus(_u10668)), _u10669))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_minus__Min__eq__Max ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_minus__Min__eq__Max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u10670) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10670), _u10671)) | ( _u10671 = c_Orderings_Obot__class_Obot(tc_fun(_u10670, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10670), c_Big__Operators_Olinorder__class_OMin(_u10670, _u10671)) = c_Big__Operators_Olinorder__class_OMax(_u10670, hAPP(c_Set_Oimage(_u10670, _u10670, c_Groups_Ouminus__class_Ouminus(_u10670)), _u10671))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min_Osingleton ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u10672) | ( c_Big__Operators_Olinorder__class_OMin(_u10672, hAPP(hAPP(c_Set_Oinsert(_u10672), _u10673), c_Orderings_Obot__class_Obot(tc_fun(_u10672, tc_HOL_Obool)))) = _u10673) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max_Osingleton ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u10674) | ( c_Big__Operators_Olinorder__class_OMax(_u10674, hAPP(hAPP(c_Set_Oinsert(_u10674), _u10675), c_Orderings_Obot__class_Obot(tc_fun(_u10674, tc_HOL_Obool)))) = _u10675) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min__le ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min__le-1, axiom, ( ~class_Orderings_Olinorder(_u10676) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10676), _u10677)) | ~hBOOL(hAPP(hAPP(c_member(_u10676), _u10678), _u10677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10676), c_Big__Operators_Olinorder__class_OMin(_u10676, _u10677)), _u10678)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max__ge ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max__ge-1, axiom, ( ~class_Orderings_Olinorder(_u10679) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10679), _u10680)) | ~hBOOL(hAPP(hAPP(c_member(_u10679), _u10681), _u10680)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10679), _u10681), c_Big__Operators_Olinorder__class_OMax(_u10679, _u10680))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min__in ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min__in-1, axiom, ( ~class_Orderings_Olinorder(_u10682) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10682), _u10683)) | ( _u10683 = c_Orderings_Obot__class_Obot(tc_fun(_u10682, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10682), c_Big__Operators_Olinorder__class_OMin(_u10682, _u10683)), _u10683)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max__in ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max__in-1, axiom, ( ~class_Orderings_Olinorder(_u10684) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10684), _u10685)) | ( _u10685 = c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10684), c_Big__Operators_Olinorder__class_OMax(_u10684, _u10685)), _u10685)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min_Oin__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10686) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10686), _u10687)) | ~hBOOL(hAPP(hAPP(c_member(_u10686), _u10688), _u10687)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10686), _u10688), c_Big__Operators_Olinorder__class_OMin(_u10686, _u10687)) = c_Big__Operators_Olinorder__class_OMin(_u10686, _u10687)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max_Oin__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max_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_Omax(_u10689), _u10691), c_Big__Operators_Olinorder__class_OMax(_u10689, _u10690)) = c_Big__Operators_Olinorder__class_OMax(_u10689, _u10690)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max__mono ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max__mono-1, axiom, ( ~class_Orderings_Olinorder(_u10692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10692, tc_HOL_Obool)), _u10693), _u10694)) | ( _u10693 = c_Orderings_Obot__class_Obot(tc_fun(_u10692, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10692), _u10694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10692), c_Big__Operators_Olinorder__class_OMax(_u10692, _u10693)), c_Big__Operators_Olinorder__class_OMax(_u10692, _u10694))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min__antimono ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u10695) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10695, tc_HOL_Obool)), _u10696), _u10697)) | ( _u10696 = c_Orderings_Obot__class_Obot(tc_fun(_u10695, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10695), _u10697)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10695), c_Big__Operators_Olinorder__class_OMin(_u10695, _u10697)), c_Big__Operators_Olinorder__class_OMin(_u10695, _u10696))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min__insert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min__insert-1, axiom, ( ~class_Orderings_Olinorder(_u10698) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10698), _u10699)) | ( _u10699 = c_Orderings_Obot__class_Obot(tc_fun(_u10698, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10698, hAPP(hAPP(c_Set_Oinsert(_u10698), _u10700), _u10699)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10698), _u10700), c_Big__Operators_Olinorder__class_OMin(_u10698, _u10699))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max__insert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max__insert-1, axiom, ( ~class_Orderings_Olinorder(_u10701) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10701), _u10702)) | ( _u10702 = c_Orderings_Obot__class_Obot(tc_fun(_u10701, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10701, hAPP(hAPP(c_Set_Oinsert(_u10701), _u10703), _u10702)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10701), _u10703), c_Big__Operators_Olinorder__class_OMax(_u10701, _u10702))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min_Osubset__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10704) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10704), _u10705)) | ( _u10706 = c_Orderings_Obot__class_Obot(tc_fun(_u10704, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10704, tc_HOL_Obool)), _u10706), _u10705)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10704), c_Big__Operators_Olinorder__class_OMin(_u10704, _u10706)), c_Big__Operators_Olinorder__class_OMin(_u10704, _u10705)) = c_Big__Operators_Olinorder__class_OMin(_u10704, _u10705)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max_Osubset__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10707), _u10708)) | ( _u10709 = c_Orderings_Obot__class_Obot(tc_fun(_u10707, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10707, tc_HOL_Obool)), _u10709), _u10708)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10707), c_Big__Operators_Olinorder__class_OMax(_u10707, _u10709)), c_Big__Operators_Olinorder__class_OMax(_u10707, _u10708)) = c_Big__Operators_Olinorder__class_OMax(_u10707, _u10708)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min__Un ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min__Un-1, axiom, ( ~class_Orderings_Olinorder(_u10710) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10710), _u10711)) | ( _u10711 = c_Orderings_Obot__class_Obot(tc_fun(_u10710, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10710), _u10712)) | ( _u10712 = c_Orderings_Obot__class_Obot(tc_fun(_u10710, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10710, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10710, tc_HOL_Obool)), _u10711), _u10712)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10710), c_Big__Operators_Olinorder__class_OMin(_u10710, _u10711)), c_Big__Operators_Olinorder__class_OMin(_u10710, _u10712))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max__Un ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max__Un-1, axiom, ( ~class_Orderings_Olinorder(_u10713) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10713), _u10714)) | ( _u10714 = c_Orderings_Obot__class_Obot(tc_fun(_u10713, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10713), _u10715)) | ( _u10715 = c_Orderings_Obot__class_Obot(tc_fun(_u10713, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10713, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10713, tc_HOL_Obool)), _u10714), _u10715)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10713), c_Big__Operators_Olinorder__class_OMax(_u10713, _u10714)), c_Big__Operators_Olinorder__class_OMax(_u10713, _u10715))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min_Oinsert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u10716) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10716), _u10717)) | hBOOL(hAPP(hAPP(c_member(_u10716), _u10718), _u10717)) | ( _u10717 = c_Orderings_Obot__class_Obot(tc_fun(_u10716, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10716, hAPP(hAPP(c_Set_Oinsert(_u10716), _u10718), _u10717)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10716), _u10718), c_Big__Operators_Olinorder__class_OMin(_u10716, _u10717))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max_Oinsert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u10719) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10719), _u10720)) | hBOOL(hAPP(hAPP(c_member(_u10719), _u10721), _u10720)) | ( _u10720 = c_Orderings_Obot__class_Obot(tc_fun(_u10719, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10719, hAPP(hAPP(c_Set_Oinsert(_u10719), _u10721), _u10720)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10719), _u10721), c_Big__Operators_Olinorder__class_OMax(_u10719, _u10720))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min_Oinsert__remove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u10722) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10722), _u10723)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10722, tc_HOL_Obool)), _u10723), hAPP(hAPP(c_Set_Oinsert(_u10722), _u10724), c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10722, hAPP(hAPP(c_Set_Oinsert(_u10722), _u10724), _u10723)) = _u10724) )).
% 27.68/27.89 cnf(fact_Min_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u10722) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10722), _u10723)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10722, tc_HOL_Obool)), _u10723), hAPP(hAPP(c_Set_Oinsert(_u10722), _u10724), c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10722, hAPP(hAPP(c_Set_Oinsert(_u10722), _u10724), _u10723)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10722), _u10724), c_Big__Operators_Olinorder__class_OMin(_u10722, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10722, tc_HOL_Obool)), _u10723), hAPP(hAPP(c_Set_Oinsert(_u10722), _u10724), c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max_Oinsert__remove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u10725) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10725), _u10726)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10725, tc_HOL_Obool)), _u10726), hAPP(hAPP(c_Set_Oinsert(_u10725), _u10727), c_Orderings_Obot__class_Obot(tc_fun(_u10725, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10725, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10725, hAPP(hAPP(c_Set_Oinsert(_u10725), _u10727), _u10726)) = _u10727) )).
% 27.68/27.89 cnf(fact_Max_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u10725) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10725), _u10726)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10725, tc_HOL_Obool)), _u10726), hAPP(hAPP(c_Set_Oinsert(_u10725), _u10727), c_Orderings_Obot__class_Obot(tc_fun(_u10725, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10725, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10725, hAPP(hAPP(c_Set_Oinsert(_u10725), _u10727), _u10726)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10725), _u10727), c_Big__Operators_Olinorder__class_OMax(_u10725, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10725, tc_HOL_Obool)), _u10726), hAPP(hAPP(c_Set_Oinsert(_u10725), _u10727), c_Orderings_Obot__class_Obot(tc_fun(_u10725, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max_Oclosed ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u10730) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10730), _u10731)) | ( _u10731 = c_Orderings_Obot__class_Obot(tc_fun(_u10730, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10730), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10730), skolem204(_u10731, _u10730)), skolem205(_u10731, _u10730))), hAPP(hAPP(c_Set_Oinsert(_u10730), skolem204(_u10731, _u10730)), hAPP(hAPP(c_Set_Oinsert(_u10730), skolem205(_u10731, _u10730)), c_Orderings_Obot__class_Obot(tc_fun(_u10730, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10730), c_Big__Operators_Olinorder__class_OMax(_u10730, _u10731)), _u10731)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min_Oclosed ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u10734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10734), _u10735)) | ( _u10735 = c_Orderings_Obot__class_Obot(tc_fun(_u10734, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10734), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10734), skolem206(_u10735, _u10734)), skolem207(_u10735, _u10734))), hAPP(hAPP(c_Set_Oinsert(_u10734), skolem206(_u10735, _u10734)), hAPP(hAPP(c_Set_Oinsert(_u10734), skolem207(_u10735, _u10734)), c_Orderings_Obot__class_Obot(tc_fun(_u10734, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10734), c_Big__Operators_Olinorder__class_OMin(_u10734, _u10735)), _u10735)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fold__graph_H_Oequations_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fold__graph_H_Oequations_I2_J-1, axiom, ( ~c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, _u10755, hAPP(hAPP(_u10751, _u10757), _u10759)) | ( _u10755 = c_Orderings_Obot__class_Obot(tc_fun(_u10747, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10747), skolem208(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)), _u10755)) )).
% 27.68/27.89 cnf(fact_fold__graph_H_Oequations_I2_J-2, axiom, ( ~c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, _u10755, hAPP(hAPP(_u10751, _u10757), _u10759)) | ( _u10755 = c_Orderings_Obot__class_Obot(tc_fun(_u10747, tc_HOL_Obool))) | ( hAPP(hAPP(_u10751, _u10757), _u10759) = hAPP(hAPP(_u10751, skolem208(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)), skolem209(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747))) )).
% 27.68/27.89 cnf(fact_fold__graph_H_Oequations_I2_J-3, axiom, ( ~c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, _u10755, hAPP(hAPP(_u10751, _u10757), _u10759)) | ( _u10755 = c_Orderings_Obot__class_Obot(tc_fun(_u10747, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10747, tc_HOL_Obool)), _u10755), hAPP(hAPP(c_Set_Oinsert(_u10747), skolem208(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)), c_Orderings_Obot__class_Obot(tc_fun(_u10747, tc_HOL_Obool)))), skolem209(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)) )).
% 27.68/27.89 cnf(fact_fold__graph_H_Oequations_I2_J-4, axiom, ( ~c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, _u10755, hAPP(hAPP(_u10751, _u10757), _u10759)) | ( hAPP(hAPP(_u10751, _u10757), _u10759) = _u10753) | hBOOL(hAPP(hAPP(c_member(_u10747), skolem208(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)), _u10755)) )).
% 27.68/27.89 cnf(fact_fold__graph_H_Oequations_I2_J-5, axiom, ( ~c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, _u10755, hAPP(hAPP(_u10751, _u10757), _u10759)) | ( hAPP(hAPP(_u10751, _u10757), _u10759) = _u10753) | ( hAPP(hAPP(_u10751, _u10757), _u10759) = hAPP(hAPP(_u10751, skolem208(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)), skolem209(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747))) )).
% 27.68/27.89 cnf(fact_fold__graph_H_Oequations_I2_J-6, axiom, ( ~c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, _u10755, hAPP(hAPP(_u10751, _u10757), _u10759)) | ( hAPP(hAPP(_u10751, _u10757), _u10759) = _u10753) | c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10747, tc_HOL_Obool)), _u10755), hAPP(hAPP(c_Set_Oinsert(_u10747), skolem208(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)), c_Orderings_Obot__class_Obot(tc_fun(_u10747, tc_HOL_Obool)))), skolem209(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)) )).
% 27.68/27.89 cnf(fact_fold__graph_H_Oequations_I2_J-7, axiom, ( c_Nitpick_Ofold__graph_H(_u10748, _u10750, _u10752, _u10754, _u10756, hAPP(hAPP(_u10752, _u10758), _u10760)) | ( _u10756 != c_Orderings_Obot__class_Obot(tc_fun(_u10748, tc_HOL_Obool))) | ( hAPP(hAPP(_u10752, _u10758), _u10760) != _u10754) )).
% 27.68/27.89 cnf(fact_fold__graph_H_Oequations_I2_J-8, axiom, ( c_Nitpick_Ofold__graph_H(_u10748, _u10750, _u10752, _u10754, _u10756, hAPP(hAPP(_u10752, _u10758), _u10760)) | ~hBOOL(hAPP(hAPP(c_member(_u10748), _u10739), _u10756)) | ( hAPP(hAPP(_u10752, _u10758), _u10760) != hAPP(hAPP(_u10752, _u10739), _u10738)) | ~c_Nitpick_Ofold__graph_H(_u10748, _u10750, _u10752, _u10754, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10748, tc_HOL_Obool)), _u10756), hAPP(hAPP(c_Set_Oinsert(_u10748), _u10739), c_Orderings_Obot__class_Obot(tc_fun(_u10748, tc_HOL_Obool)))), _u10738) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10769, _u10771), tc_prod(_u10769, _u10771))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10769, _u10771), tc_prod(_u10769, _u10771)), hAPP(hAPP(c_Product__Type_OPair(_u10769, _u10771), _u10773), _u10775)), hAPP(hAPP(c_Product__Type_OPair(_u10769, _u10771), _u10777), _u10779))), c_Wellfounded_Olex__prod(_u10769, _u10771, _u10781, _u10783))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10769, _u10769)), hAPP(hAPP(c_Product__Type_OPair(_u10769, _u10769), _u10773), _u10777)), _u10781)) | ( _u10773 = _u10777) )).
% 27.68/27.89 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10769, _u10771), tc_prod(_u10769, _u10771))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10769, _u10771), tc_prod(_u10769, _u10771)), hAPP(hAPP(c_Product__Type_OPair(_u10769, _u10771), _u10773), _u10775)), hAPP(hAPP(c_Product__Type_OPair(_u10769, _u10771), _u10777), _u10779))), c_Wellfounded_Olex__prod(_u10769, _u10771, _u10781, _u10783))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10769, _u10769)), hAPP(hAPP(c_Product__Type_OPair(_u10769, _u10769), _u10773), _u10777)), _u10781)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10771, _u10771)), hAPP(hAPP(c_Product__Type_OPair(_u10771, _u10771), _u10775), _u10779)), _u10783)) )).
% 27.68/27.89 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10770, _u10772), tc_prod(_u10770, _u10772))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10770, _u10772), tc_prod(_u10770, _u10772)), hAPP(hAPP(c_Product__Type_OPair(_u10770, _u10772), _u10774), _u10776)), hAPP(hAPP(c_Product__Type_OPair(_u10770, _u10772), _u10778), _u10780))), c_Wellfounded_Olex__prod(_u10770, _u10772, _u10782, _u10784))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10770, _u10770)), hAPP(hAPP(c_Product__Type_OPair(_u10770, _u10770), _u10774), _u10778)), _u10782)) )).
% 27.68/27.89 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10770, _u10772), tc_prod(_u10770, _u10772))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10770, _u10772), tc_prod(_u10770, _u10772)), hAPP(hAPP(c_Product__Type_OPair(_u10770, _u10772), _u10774), _u10776)), hAPP(hAPP(c_Product__Type_OPair(_u10770, _u10772), _u10778), _u10780))), c_Wellfounded_Olex__prod(_u10770, _u10772, _u10782, _u10784))) | ( _u10774 != _u10778) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10772, _u10772)), hAPP(hAPP(c_Product__Type_OPair(_u10772, _u10772), _u10776), _u10780)), _u10784)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_in__finite__psubset ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_in__finite__psubset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u10788, tc_HOL_Obool), tc_fun(_u10788, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u10788, tc_HOL_Obool), tc_fun(_u10788, tc_HOL_Obool)), _u10790), _u10792)), c_Wellfounded_Ofinite__psubset(_u10788))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10788, tc_HOL_Obool)), _u10790), _u10792)) )).
% 27.68/27.89 cnf(fact_in__finite__psubset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u10788, tc_HOL_Obool), tc_fun(_u10788, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u10788, tc_HOL_Obool), tc_fun(_u10788, tc_HOL_Obool)), _u10790), _u10792)), c_Wellfounded_Ofinite__psubset(_u10788))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10788), _u10792)) )).
% 27.68/27.89 cnf(fact_in__finite__psubset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10789, tc_HOL_Obool)), _u10791), _u10793)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10789), _u10793)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u10789, tc_HOL_Obool), tc_fun(_u10789, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u10789, tc_HOL_Obool), tc_fun(_u10789, tc_HOL_Obool)), _u10791), _u10793)), c_Wellfounded_Ofinite__psubset(_u10789))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_triple__valid__def2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_triple__valid__def2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10809, _u10796), _u10795)) | ~c_Natural_Oevaln(_u10811, _u10795, _u10807, _u10794) | hBOOL(hAPP(hAPP(_u10813, _u10796), _u10794)) | ~c_Hoare__Mirabelle_Otriple__valid(_u10805, _u10807, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10805), _u10809), _u10811), _u10813)) )).
% 27.68/27.89 cnf(fact_triple__valid__def2-2, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u10806, _u10808, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10806), _u10810), _u10812), _u10814)) | hBOOL(hAPP(hAPP(_u10810, skolem210(_u10814, _u10812, _u10810, _u10808)), skolem211(_u10814, _u10812, _u10810, _u10808))) )).
% 27.68/27.89 cnf(fact_triple__valid__def2-3, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u10806, _u10808, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10806), _u10810), _u10812), _u10814)) | c_Natural_Oevaln(_u10812, skolem211(_u10814, _u10812, _u10810, _u10808), _u10808, skolem212(_u10814, _u10812, _u10810, _u10808)) )).
% 27.68/27.89 cnf(fact_triple__valid__def2-4, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u10806, _u10808, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10806), _u10810), _u10812), _u10814)) | ~hBOOL(hAPP(hAPP(_u10814, skolem210(_u10814, _u10812, _u10810, _u10808)), skolem212(_u10814, _u10812, _u10810, _u10808))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u10815, _u10816)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10817, _u10817)), hAPP(hAPP(c_Product__Type_OPair(_u10817, _u10817), _u10818), _u10819)), hAPP(_u10820, _u10816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10821, _u10817), tc_prod(_u10821, _u10817))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10821, _u10817), tc_prod(_u10821, _u10817)), hAPP(hAPP(c_Product__Type_OPair(_u10821, _u10817), _u10816), _u10818)), hAPP(hAPP(c_Product__Type_OPair(_u10821, _u10817), _u10816), _u10819))), c_Recdef_Osame__fst(_u10821, _u10817, _u10815, _u10820))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OSup__fin_Oremove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u10822) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10822), _u10823)) | ~hBOOL(hAPP(hAPP(c_member(_u10822), _u10824), _u10823)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10822, tc_HOL_Obool)), _u10823), hAPP(hAPP(c_Set_Oinsert(_u10822), _u10824), c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10822, c_Orderings_Oord__class_Omax(_u10822), _u10823) = _u10824) )).
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u10822) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10822), _u10823)) | ~hBOOL(hAPP(hAPP(c_member(_u10822), _u10824), _u10823)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10822, tc_HOL_Obool)), _u10823), hAPP(hAPP(c_Set_Oinsert(_u10822), _u10824), c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10822, c_Orderings_Oord__class_Omax(_u10822), _u10823) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10822), _u10824), c_Big__Operators_Olattice_OSup__fin(_u10822, c_Orderings_Oord__class_Omax(_u10822), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10822, tc_HOL_Obool)), _u10823), hAPP(hAPP(c_Set_Oinsert(_u10822), _u10824), c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OInf__fin_Oremove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u10825) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10825), _u10826)) | ~hBOOL(hAPP(hAPP(c_member(_u10825), _u10827), _u10826)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10825, tc_HOL_Obool)), _u10826), hAPP(hAPP(c_Set_Oinsert(_u10825), _u10827), c_Orderings_Obot__class_Obot(tc_fun(_u10825, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10825, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10825, c_Orderings_Oord__class_Omin(_u10825), _u10826) = _u10827) )).
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u10825) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10825), _u10826)) | ~hBOOL(hAPP(hAPP(c_member(_u10825), _u10827), _u10826)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10825, tc_HOL_Obool)), _u10826), hAPP(hAPP(c_Set_Oinsert(_u10825), _u10827), c_Orderings_Obot__class_Obot(tc_fun(_u10825, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10825, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10825, c_Orderings_Oord__class_Omin(_u10825), _u10826) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10825), _u10827), c_Big__Operators_Olattice_OInf__fin(_u10825, c_Orderings_Oord__class_Omin(_u10825), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10825, tc_HOL_Obool)), _u10826), hAPP(hAPP(c_Set_Oinsert(_u10825), _u10827), c_Orderings_Obot__class_Obot(tc_fun(_u10825, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OInf__le__Sup ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OInf__le__Sup-1, axiom, ( ~class_Orderings_Olinorder(_u10828) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10828), _u10829)) | ( _u10829 = c_Orderings_Obot__class_Obot(tc_fun(_u10828, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10828), c_Big__Operators_Olattice_OInf__fin(_u10828, c_Orderings_Oord__class_Omin(_u10828), _u10829)), c_Big__Operators_Olattice_OSup__fin(_u10828, c_Orderings_Oord__class_Omax(_u10828), _u10829))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OInf__fin_Oin__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10830) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10830), _u10831)) | ~hBOOL(hAPP(hAPP(c_member(_u10830), _u10832), _u10831)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10830), _u10832), c_Big__Operators_Olattice_OInf__fin(_u10830, c_Orderings_Oord__class_Omin(_u10830), _u10831)) = c_Big__Operators_Olattice_OInf__fin(_u10830, c_Orderings_Oord__class_Omin(_u10830), _u10831)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OSup__fin_Oin__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10833) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10833), _u10834)) | ~hBOOL(hAPP(hAPP(c_member(_u10833), _u10835), _u10834)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10833), _u10835), c_Big__Operators_Olattice_OSup__fin(_u10833, c_Orderings_Oord__class_Omax(_u10833), _u10834)) = c_Big__Operators_Olattice_OSup__fin(_u10833, c_Orderings_Oord__class_Omax(_u10833), _u10834)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OInf__fin_Osingleton ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u10836) | ( c_Big__Operators_Olattice_OInf__fin(_u10836, c_Orderings_Oord__class_Omin(_u10836), hAPP(hAPP(c_Set_Oinsert(_u10836), _u10837), c_Orderings_Obot__class_Obot(tc_fun(_u10836, tc_HOL_Obool)))) = _u10837) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OSup__fin_Osingleton ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u10838) | ( c_Big__Operators_Olattice_OSup__fin(_u10838, c_Orderings_Oord__class_Omax(_u10838), hAPP(hAPP(c_Set_Oinsert(_u10838), _u10839), c_Orderings_Obot__class_Obot(tc_fun(_u10838, tc_HOL_Obool)))) = _u10839) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OInf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10840) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10840), _u10841)) | ( _u10841 = c_Orderings_Obot__class_Obot(tc_fun(_u10840, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10840, c_Orderings_Oord__class_Omin(_u10840), hAPP(hAPP(c_Set_Oinsert(_u10840), _u10842), _u10841)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10840), _u10842), c_Big__Operators_Olattice_OInf__fin(_u10840, c_Orderings_Oord__class_Omin(_u10840), _u10841))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OSup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10843) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10843), _u10844)) | ( _u10844 = c_Orderings_Obot__class_Obot(tc_fun(_u10843, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10843, c_Orderings_Oord__class_Omax(_u10843), hAPP(hAPP(c_Set_Oinsert(_u10843), _u10845), _u10844)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10843), _u10845), c_Big__Operators_Olattice_OSup__fin(_u10843, c_Orderings_Oord__class_Omax(_u10843), _u10844))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OInf__fin_Osubset__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10846) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10846), _u10847)) | ( _u10848 = c_Orderings_Obot__class_Obot(tc_fun(_u10846, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10846, tc_HOL_Obool)), _u10848), _u10847)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10846), c_Big__Operators_Olattice_OInf__fin(_u10846, c_Orderings_Oord__class_Omin(_u10846), _u10848)), c_Big__Operators_Olattice_OInf__fin(_u10846, c_Orderings_Oord__class_Omin(_u10846), _u10847)) = c_Big__Operators_Olattice_OInf__fin(_u10846, c_Orderings_Oord__class_Omin(_u10846), _u10847)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OSup__fin_Osubset__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10849), _u10850)) | ( _u10851 = c_Orderings_Obot__class_Obot(tc_fun(_u10849, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10849, tc_HOL_Obool)), _u10851), _u10850)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10849), c_Big__Operators_Olattice_OSup__fin(_u10849, c_Orderings_Oord__class_Omax(_u10849), _u10851)), c_Big__Operators_Olattice_OSup__fin(_u10849, c_Orderings_Oord__class_Omax(_u10849), _u10850)) = c_Big__Operators_Olattice_OSup__fin(_u10849, c_Orderings_Oord__class_Omax(_u10849), _u10850)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_Oinf__Sup__absorb ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_Oinf__Sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u10852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10852), _u10853)) | ~hBOOL(hAPP(hAPP(c_member(_u10852), _u10854), _u10853)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10852), _u10854), c_Big__Operators_Olattice_OSup__fin(_u10852, c_Orderings_Oord__class_Omax(_u10852), _u10853)) = _u10854) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_Osup__Inf__absorb ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_Osup__Inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u10855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10855), _u10856)) | ~hBOOL(hAPP(hAPP(c_member(_u10855), _u10857), _u10856)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10855), _u10857), c_Big__Operators_Olattice_OInf__fin(_u10855, c_Orderings_Oord__class_Omin(_u10855), _u10856)) = _u10857) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OInf__fin_Ounion__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10858) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10858), _u10859)) | ( _u10859 = c_Orderings_Obot__class_Obot(tc_fun(_u10858, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10858), _u10860)) | ( _u10860 = c_Orderings_Obot__class_Obot(tc_fun(_u10858, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10858, c_Orderings_Oord__class_Omin(_u10858), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10858, tc_HOL_Obool)), _u10859), _u10860)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10858), c_Big__Operators_Olattice_OInf__fin(_u10858, c_Orderings_Oord__class_Omin(_u10858), _u10859)), c_Big__Operators_Olattice_OInf__fin(_u10858, c_Orderings_Oord__class_Omin(_u10858), _u10860))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OSup__fin_Ounion__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10861) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10861), _u10862)) | ( _u10862 = c_Orderings_Obot__class_Obot(tc_fun(_u10861, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10861), _u10863)) | ( _u10863 = c_Orderings_Obot__class_Obot(tc_fun(_u10861, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10861, c_Orderings_Oord__class_Omax(_u10861), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10861, tc_HOL_Obool)), _u10862), _u10863)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10861), c_Big__Operators_Olattice_OSup__fin(_u10861, c_Orderings_Oord__class_Omax(_u10861), _u10862)), c_Big__Operators_Olattice_OSup__fin(_u10861, c_Orderings_Oord__class_Omax(_u10861), _u10863))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OInf__fin_Oinsert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u10864) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10864), _u10865)) | hBOOL(hAPP(hAPP(c_member(_u10864), _u10866), _u10865)) | ( _u10865 = c_Orderings_Obot__class_Obot(tc_fun(_u10864, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10864, c_Orderings_Oord__class_Omin(_u10864), hAPP(hAPP(c_Set_Oinsert(_u10864), _u10866), _u10865)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10864), _u10866), c_Big__Operators_Olattice_OInf__fin(_u10864, c_Orderings_Oord__class_Omin(_u10864), _u10865))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OSup__fin_Oinsert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u10867) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10867), _u10868)) | hBOOL(hAPP(hAPP(c_member(_u10867), _u10869), _u10868)) | ( _u10868 = c_Orderings_Obot__class_Obot(tc_fun(_u10867, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10867, c_Orderings_Oord__class_Omax(_u10867), hAPP(hAPP(c_Set_Oinsert(_u10867), _u10869), _u10868)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10867), _u10869), c_Big__Operators_Olattice_OSup__fin(_u10867, c_Orderings_Oord__class_Omax(_u10867), _u10868))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OInf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u10870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10870), _u10871)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10870, tc_HOL_Obool)), _u10871), hAPP(hAPP(c_Set_Oinsert(_u10870), _u10872), c_Orderings_Obot__class_Obot(tc_fun(_u10870, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10870, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10870, c_Orderings_Oord__class_Omin(_u10870), hAPP(hAPP(c_Set_Oinsert(_u10870), _u10872), _u10871)) = _u10872) )).
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u10870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10870), _u10871)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10870, tc_HOL_Obool)), _u10871), hAPP(hAPP(c_Set_Oinsert(_u10870), _u10872), c_Orderings_Obot__class_Obot(tc_fun(_u10870, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10870, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10870, c_Orderings_Oord__class_Omin(_u10870), hAPP(hAPP(c_Set_Oinsert(_u10870), _u10872), _u10871)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10870), _u10872), c_Big__Operators_Olattice_OInf__fin(_u10870, c_Orderings_Oord__class_Omin(_u10870), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10870, tc_HOL_Obool)), _u10871), hAPP(hAPP(c_Set_Oinsert(_u10870), _u10872), c_Orderings_Obot__class_Obot(tc_fun(_u10870, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OSup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u10873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10873), _u10874)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10873, tc_HOL_Obool)), _u10874), hAPP(hAPP(c_Set_Oinsert(_u10873), _u10875), c_Orderings_Obot__class_Obot(tc_fun(_u10873, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10873, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10873, c_Orderings_Oord__class_Omax(_u10873), hAPP(hAPP(c_Set_Oinsert(_u10873), _u10875), _u10874)) = _u10875) )).
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u10873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10873), _u10874)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10873, tc_HOL_Obool)), _u10874), hAPP(hAPP(c_Set_Oinsert(_u10873), _u10875), c_Orderings_Obot__class_Obot(tc_fun(_u10873, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10873, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10873, c_Orderings_Oord__class_Omax(_u10873), hAPP(hAPP(c_Set_Oinsert(_u10873), _u10875), _u10874)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10873), _u10875), c_Big__Operators_Olattice_OSup__fin(_u10873, c_Orderings_Oord__class_Omax(_u10873), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10873, tc_HOL_Obool)), _u10874), hAPP(hAPP(c_Set_Oinsert(_u10873), _u10875), c_Orderings_Obot__class_Obot(tc_fun(_u10873, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OSup__fin_Oclosed ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u10878) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10878), _u10879)) | ( _u10879 = c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10878), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10878), skolem213(_u10879, _u10878)), skolem214(_u10879, _u10878))), hAPP(hAPP(c_Set_Oinsert(_u10878), skolem213(_u10879, _u10878)), hAPP(hAPP(c_Set_Oinsert(_u10878), skolem214(_u10879, _u10878)), c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10878), c_Big__Operators_Olattice_OSup__fin(_u10878, c_Orderings_Oord__class_Omax(_u10878), _u10879)), _u10879)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OInf__fin_Oclosed ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u10882) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10882), _u10883)) | ( _u10883 = c_Orderings_Obot__class_Obot(tc_fun(_u10882, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10882), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10882), skolem215(_u10883, _u10882)), skolem216(_u10883, _u10882))), hAPP(hAPP(c_Set_Oinsert(_u10882), skolem215(_u10883, _u10882)), hAPP(hAPP(c_Set_Oinsert(_u10882), skolem216(_u10883, _u10882)), c_Orderings_Obot__class_Obot(tc_fun(_u10882, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10882), c_Big__Operators_Olattice_OInf__fin(_u10882, c_Orderings_Oord__class_Omin(_u10882), _u10883)), _u10883)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__one_Oclosed ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__one_Oclosed-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u10886, _u10887, _u10888) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10886), _u10889)) | ( _u10889 = c_Orderings_Obot__class_Obot(tc_fun(_u10886, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10886), hAPP(hAPP(_u10887, skolem217(_u10889, _u10888, _u10887, _u10886)), skolem218(_u10889, _u10888, _u10887, _u10886))), hAPP(hAPP(c_Set_Oinsert(_u10886), skolem217(_u10889, _u10888, _u10887, _u10886)), hAPP(hAPP(c_Set_Oinsert(_u10886), skolem218(_u10889, _u10888, _u10887, _u10886)), c_Orderings_Obot__class_Obot(tc_fun(_u10886, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10886), hAPP(_u10888, _u10889)), _u10889)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__image ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10896), _u10898), _u10900)) | ( hAPP(c_Set_Oimage(_u10896, _u10902, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10896, _u10902), _u10904), _u10898), _u10906)), _u10900) = hAPP(hAPP(c_Set_Oinsert(_u10902), _u10906), hAPP(c_Set_Oimage(_u10896, _u10902, _u10904), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10896, tc_HOL_Obool)), _u10900), hAPP(hAPP(c_Set_Oinsert(_u10896), _u10898), c_Orderings_Obot__class_Obot(tc_fun(_u10896, tc_HOL_Obool))))))) )).
% 27.68/27.89 cnf(fact_fun__upd__image-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u10897), _u10899), _u10901)) | ( hAPP(c_Set_Oimage(_u10897, _u10903, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10897, _u10903), _u10905), _u10899), _u10907)), _u10901) = hAPP(c_Set_Oimage(_u10897, _u10903, _u10905), _u10901)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__gen__delta ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__gen__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10908) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10909), _u10910)) | ~hBOOL(hAPP(hAPP(c_member(_u10909), _u10911), _u10910)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10909, _u10908), hAPP(hAPP(c_COMBC(_u10909, _u10908, _u10908), hAPP(hAPP(c_COMBS(_u10909, _u10908, tc_fun(_u10908, _u10908)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10908, tc_fun(_u10908, _u10908)), _u10909), c_If(_u10908)), hAPP(hAPP(c_COMBC(_u10909, _u10909, tc_HOL_Obool), c_fequal), _u10911))), _u10912)), _u10913)), _u10910) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10908), hAPP(_u10912, _u10911)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10908), _u10913), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10909), _u10910)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 27.68/27.89 cnf(fact_setprod__gen__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10908) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10909), _u10910)) | hBOOL(hAPP(hAPP(c_member(_u10909), _u10911), _u10910)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10909, _u10908), hAPP(hAPP(c_COMBC(_u10909, _u10908, _u10908), hAPP(hAPP(c_COMBS(_u10909, _u10908, tc_fun(_u10908, _u10908)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10908, tc_fun(_u10908, _u10908)), _u10909), c_If(_u10908)), hAPP(hAPP(c_COMBC(_u10909, _u10909, tc_HOL_Obool), c_fequal), _u10911))), _u10912)), _u10913)), _u10910) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10908), _u10913), hAPP(c_Finite__Set_Ocard(_u10909), _u10910))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__nonneg__leq__bound ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__nonneg__leq__bound-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10916), _u10917)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10916, _u10915), _u10918), _u10917) != _u10919) | ~hBOOL(hAPP(hAPP(c_member(_u10916), _u10920), _u10917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10915), hAPP(_u10918, _u10920)), _u10919)) | hBOOL(hAPP(hAPP(c_member(_u10916), skolem219(_u10920, _u10919, _u10918, _u10917, _u10916, _u10915)), _u10917)) )).
% 27.68/27.89 cnf(fact_setsum__nonneg__leq__bound-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10916), _u10917)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10916, _u10915), _u10918), _u10917) != _u10919) | ~hBOOL(hAPP(hAPP(c_member(_u10916), _u10920), _u10917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10915), hAPP(_u10918, _u10920)), _u10919)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10915), c_Groups_Ozero__class_Ozero(_u10915)), hAPP(_u10918, skolem219(_u10920, _u10919, _u10918, _u10917, _u10916, _u10915)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__triv-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10921, _u10922), _u10923), _u10924), hAPP(_u10923, _u10924)) = _u10923) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_transfer__nat__int__sum__prod_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_transfer__nat__int__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10925) | ~class_Groups_Ocomm__monoid__mult(_u10925) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10925), _u10926), _u10927) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10925), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10925, tc_Int_Oint), _u10926), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10927))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_abs__setprod ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_abs__setprod-1, axiom, ( ~class_Fields_Olinordered__field(_u10928) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10928), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10929, _u10928), _u10930), _u10931)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10929, _u10928), hAPP(hAPP(c_COMBB(_u10928, _u10928, _u10929), c_Groups_Oabs__class_Oabs(_u10928)), _u10930)), _u10931)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_of__int__setprod ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_of__int__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10932) | ~class_Rings_Oring__1(_u10932) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10932), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10933, tc_Int_Oint), _u10934), _u10935)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10933, _u10932), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10932, _u10933), c_Int_Oring__1__class_Oof__int(_u10932)), _u10934)), _u10935)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_transfer__nat__int__sum__prod2_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_transfer__nat__int__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10936, tc_Nat_Onat), _u10937), _u10938) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10936, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10936), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10937)), _u10938))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_int__setprod ( axiom ) converted to clauses:
% 27.68/27.89 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(_u10939, tc_Nat_Onat), _u10940), _u10941)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10939, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10939), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10940)), _u10941)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_of__nat__setprod ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_of__nat__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10942) | ~class_Rings_Osemiring__1(_u10942) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10942), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10943, tc_Nat_Onat), _u10944), _u10945)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10943, _u10942), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10942, _u10943), c_Nat_Osemiring__1__class_Oof__nat(_u10942)), _u10944)), _u10945)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10946) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10947, _u10946), hAPP(c_COMBK(_u10946, _u10947), c_Groups_Oone__class_Oone(_u10946))), _u10948) = c_Groups_Oone__class_Oone(_u10946)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__timesf ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__timesf-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10949) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10950, _u10949), hAPP(hAPP(c_COMBS(_u10950, _u10949, _u10949), hAPP(hAPP(c_COMBB(_u10949, tc_fun(_u10949, _u10949), _u10950), c_Groups_Otimes__class_Otimes(_u10949)), _u10951)), _u10952)), _u10953) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10949), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10950, _u10949), _u10951), _u10953)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10950, _u10949), _u10952), _u10953))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u10963, _u10965) = _u10967) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10959, _u10961), _u10963), _u10965), _u10967) != _u10963) )).
% 27.68/27.89 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u10964, _u10966) != _u10968) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10960, _u10962), _u10964), _u10966), _u10968) = _u10964) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__upd-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10969, _u10970), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10969, _u10970), _u10971), _u10972), _u10973)), _u10972), _u10974) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10969, _u10970), _u10971), _u10972), _u10974)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10975, _u10976), _u10977), _u10978), _u10979), _u10978) = _u10979) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__apply-1, axiom, ( ( _u10986 != _u10988) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10990, _u10992), _u10994), _u10988), _u10996), _u10986) = _u10996) )).
% 27.68/27.89 cnf(fact_fun__upd__apply-2, axiom, ( ( _u10987 = _u10989) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10991, _u10993), _u10995), _u10989), _u10997), _u10987) = hAPP(_u10995, _u10987)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__twist-1, axiom, ( ( _u10998 = _u10999) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11000, _u11001), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11000, _u11001), _u11002), _u10998), _u11003)), _u10999), _u11004) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11000, _u11001), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11000, _u11001), _u11002), _u10999), _u11004)), _u10998), _u11003)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__other-1, axiom, ( ( _u11005 = _u11006) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11007, _u11008), _u11009), _u11006), _u11010), _u11005) = hAPP(_u11009, _u11005)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u11011, _u11012) != _u11013) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11014, _u11015), _u11011), _u11012), _u11013) = _u11011) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__def-1, axiom, ( ( _u11022 != _u11024) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11026, _u11028), _u11030), _u11024), _u11032), _u11022) = _u11032) )).
% 27.68/27.89 cnf(fact_fun__upd__def-2, axiom, ( ( _u11023 = _u11025) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11027, _u11029), _u11031), _u11025), _u11033), _u11023) = hAPP(_u11031, _u11023)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__zero ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11036), _u11037)) | ~hBOOL(hAPP(hAPP(c_member(_u11036), _u11034), _u11037)) | ( hAPP(_u11038, _u11034) != c_Groups_Ozero__class_Ozero(_u11035)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11036, _u11035), _u11038), _u11037) = c_Groups_Ozero__class_Ozero(_u11035)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__zero__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__zero__iff-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11041) | ~class_Rings_Ono__zero__divisors(_u11041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11042), _u11043)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11042, _u11041), _u11044), _u11043) != c_Groups_Ozero__class_Ozero(_u11041)) | hBOOL(hAPP(hAPP(c_member(_u11042), skolem220(_u11044, _u11043, _u11042, _u11041)), _u11043)) )).
% 27.68/27.89 cnf(fact_setprod__zero__iff-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11041) | ~class_Rings_Ono__zero__divisors(_u11041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11042), _u11043)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11042, _u11041), _u11044), _u11043) != c_Groups_Ozero__class_Ozero(_u11041)) | ( hAPP(_u11044, skolem220(_u11044, _u11043, _u11042, _u11041)) = c_Groups_Ozero__class_Ozero(_u11041)) )).
% 27.68/27.89 cnf(fact_setprod__zero__iff-3, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11041) | ~class_Rings_Ono__zero__divisors(_u11041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11042), _u11043)) | ~hBOOL(hAPP(hAPP(c_member(_u11042), _u11040), _u11043)) | ( hAPP(_u11044, _u11040) != c_Groups_Ozero__class_Ozero(_u11041)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11042, _u11041), _u11044), _u11043) = c_Groups_Ozero__class_Ozero(_u11041)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod_Oempty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11045) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11046, _u11045), _u11047), c_Orderings_Obot__class_Obot(tc_fun(_u11046, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u11045)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11048) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11049, _u11048), _u11050), c_Orderings_Obot__class_Obot(tc_fun(_u11049, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u11048)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod_Oinfinite ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11051) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11052), _u11053)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11052, _u11051), _u11054), _u11053) = c_Groups_Oone__class_Oone(_u11051)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__infinite ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11055) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11056), _u11057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11056, _u11055), _u11058), _u11057) = c_Groups_Oone__class_Oone(_u11055)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__eq__1__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11061), _u11062)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11061, tc_Nat_Onat), _u11063), _u11062) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11061), _u11059), _u11062)) | ( hAPP(_u11063, _u11059) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.89 cnf(fact_setprod__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11061), _u11062)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11061, tc_Nat_Onat), _u11063), _u11062) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11061), skolem221(_u11063, _u11062, _u11061)), _u11062)) )).
% 27.68/27.89 cnf(fact_setprod__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11061), _u11062)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11061, tc_Nat_Onat), _u11063), _u11062) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u11063, skolem221(_u11063, _u11062, _u11061)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_transfer__int__nat__sum__prod_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_transfer__int__nat__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11064) | ~class_Groups_Ocomm__monoid__mult(_u11064) | ~c_Nat__Transfer_Onat__set(_u11065) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11064), _u11066), _u11065) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u11064), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11064, tc_Nat_Onat), _u11066), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11065))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod_Odistrib ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11068), _u11069)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11068, _u11067), hAPP(hAPP(c_COMBS(_u11068, _u11067, _u11067), hAPP(hAPP(c_COMBB(_u11067, tc_fun(_u11067, _u11067), _u11068), c_Groups_Otimes__class_Otimes(_u11067)), _u11070)), _u11071)), _u11069) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11067), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11068, _u11067), _u11070), _u11069)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11068, _u11067), _u11071), _u11069))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__dividef ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__dividef-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11072) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11073), _u11074)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11073, _u11072), hAPP(hAPP(c_COMBS(_u11073, _u11072, _u11072), hAPP(hAPP(c_COMBB(_u11072, tc_fun(_u11072, _u11072), _u11073), c_Rings_Oinverse__class_Odivide(_u11072)), _u11075)), _u11076)), _u11074) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11072), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11073, _u11072), _u11075), _u11074)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11073, _u11072), _u11076), _u11074))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_dvd__setprod ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_dvd__setprod-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11077) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11078), _u11079)) | ~hBOOL(hAPP(hAPP(c_member(_u11078), _u11080), _u11079)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u11077), hAPP(_u11081, _u11080)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11078, _u11077), _u11081), _u11079))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__pos__nat__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__pos__nat__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11084), _u11085)) | ~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(_u11084, tc_Nat_Onat), _u11086), _u11085))) | ~hBOOL(hAPP(hAPP(c_member(_u11084), _u11082), _u11085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u11086, _u11082))) )).
% 27.68/27.89 cnf(fact_setprod__pos__nat__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11084), _u11085)) | 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(_u11084, tc_Nat_Onat), _u11086), _u11085))) | hBOOL(hAPP(hAPP(c_member(_u11084), skolem222(_u11086, _u11085, _u11084)), _u11085)) )).
% 27.68/27.89 cnf(fact_setprod__pos__nat__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11084), _u11085)) | 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(_u11084, tc_Nat_Onat), _u11086), _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u11086, skolem222(_u11086, _u11085, _u11084)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__dvd__setprod__subset ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__dvd__setprod__subset-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11087) | ~class_Rings_Odvd(_u11087) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11088), _u11089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11088, tc_HOL_Obool)), _u11090), _u11089)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u11087), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11088, _u11087), _u11091), _u11090)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11088, _u11087), _u11091), _u11089))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__delta_H ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11092) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11093), _u11094)) | ~hBOOL(hAPP(hAPP(c_member(_u11093), _u11095), _u11094)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11093, _u11092), hAPP(hAPP(c_COMBC(_u11093, _u11092, _u11092), hAPP(hAPP(c_COMBS(_u11093, _u11092, tc_fun(_u11092, _u11092)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11092, tc_fun(_u11092, _u11092)), _u11093), c_If(_u11092)), hAPP(c_fequal, _u11095))), _u11096)), c_Groups_Oone__class_Oone(_u11092))), _u11094) = hAPP(_u11096, _u11095)) )).
% 27.68/27.89 cnf(fact_setprod__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11092) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11093), _u11094)) | hBOOL(hAPP(hAPP(c_member(_u11093), _u11095), _u11094)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11093, _u11092), hAPP(hAPP(c_COMBC(_u11093, _u11092, _u11092), hAPP(hAPP(c_COMBS(_u11093, _u11092, tc_fun(_u11092, _u11092)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11092, tc_fun(_u11092, _u11092)), _u11093), c_If(_u11092)), hAPP(c_fequal, _u11095))), _u11096)), c_Groups_Oone__class_Oone(_u11092))), _u11094) = c_Groups_Oone__class_Oone(_u11092)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__delta ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11097) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11098), _u11099)) | ~hBOOL(hAPP(hAPP(c_member(_u11098), _u11100), _u11099)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11098, _u11097), hAPP(hAPP(c_COMBC(_u11098, _u11097, _u11097), hAPP(hAPP(c_COMBS(_u11098, _u11097, tc_fun(_u11097, _u11097)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11097, tc_fun(_u11097, _u11097)), _u11098), c_If(_u11097)), hAPP(hAPP(c_COMBC(_u11098, _u11098, tc_HOL_Obool), c_fequal), _u11100))), _u11101)), c_Groups_Oone__class_Oone(_u11097))), _u11099) = hAPP(_u11101, _u11100)) )).
% 27.68/27.89 cnf(fact_setprod__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11097) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11098), _u11099)) | hBOOL(hAPP(hAPP(c_member(_u11098), _u11100), _u11099)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11098, _u11097), hAPP(hAPP(c_COMBC(_u11098, _u11097, _u11097), hAPP(hAPP(c_COMBS(_u11098, _u11097, tc_fun(_u11097, _u11097)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11097, tc_fun(_u11097, _u11097)), _u11098), c_If(_u11097)), hAPP(hAPP(c_COMBC(_u11098, _u11098, tc_HOL_Obool), c_fequal), _u11100))), _u11101)), c_Groups_Oone__class_Oone(_u11097))), _u11099) = c_Groups_Oone__class_Oone(_u11097)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__constant ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__constant-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11103), _u11104)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11103, _u11102), hAPP(c_COMBK(_u11102, _u11103), _u11105)), _u11104) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11102), _u11105), hAPP(c_Finite__Set_Ocard(_u11103), _u11104))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__insert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11106) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11107), _u11108)) | hBOOL(hAPP(hAPP(c_member(_u11107), _u11109), _u11108)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11107, _u11106), _u11110), hAPP(hAPP(c_Set_Oinsert(_u11107), _u11109), _u11108)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11106), hAPP(_u11110, _u11109)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11107, _u11106), _u11110), _u11108))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod_Oinsert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11111) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11112), _u11113)) | hBOOL(hAPP(hAPP(c_member(_u11112), _u11114), _u11113)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11112, _u11111), _u11115), hAPP(hAPP(c_Set_Oinsert(_u11112), _u11114), _u11113)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11111), hAPP(_u11115, _u11114)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11112, _u11111), _u11115), _u11113))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod_Oinsert__remove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11116) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11117), _u11118)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11117, _u11116), _u11119), hAPP(hAPP(c_Set_Oinsert(_u11117), _u11120), _u11118)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11116), hAPP(_u11119, _u11120)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11117, _u11116), _u11119), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11117, tc_HOL_Obool)), _u11118), hAPP(hAPP(c_Set_Oinsert(_u11117), _u11120), c_Orderings_Obot__class_Obot(tc_fun(_u11117, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod_Oremove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11121) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11122), _u11123)) | ~hBOOL(hAPP(hAPP(c_member(_u11122), _u11124), _u11123)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11122, _u11121), _u11125), _u11123) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11121), hAPP(_u11125, _u11124)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11122, _u11121), _u11125), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11122, tc_HOL_Obool)), _u11123), hAPP(hAPP(c_Set_Oinsert(_u11122), _u11124), c_Orderings_Obot__class_Obot(tc_fun(_u11122, tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__diff1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__diff1-1, axiom, ( ~class_Fields_Ofield(_u11126) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11127), _u11128)) | ( hAPP(_u11129, _u11130) = c_Groups_Ozero__class_Ozero(_u11126)) | ~hBOOL(hAPP(hAPP(c_member(_u11127), _u11130), _u11128)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11127, _u11126), _u11129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11127, tc_HOL_Obool)), _u11128), hAPP(hAPP(c_Set_Oinsert(_u11127), _u11130), c_Orderings_Obot__class_Obot(tc_fun(_u11127, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11126), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11127, _u11126), _u11129), _u11128)), hAPP(_u11129, _u11130))) )).
% 27.68/27.89 cnf(fact_setprod__diff1-2, axiom, ( ~class_Fields_Ofield(_u11126) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11127), _u11128)) | ( hAPP(_u11129, _u11130) = c_Groups_Ozero__class_Ozero(_u11126)) | hBOOL(hAPP(hAPP(c_member(_u11127), _u11130), _u11128)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11127, _u11126), _u11129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11127, tc_HOL_Obool)), _u11128), hAPP(hAPP(c_Set_Oinsert(_u11127), _u11130), c_Orderings_Obot__class_Obot(tc_fun(_u11127, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11127, _u11126), _u11129), _u11128)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_finite__range__updI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_finite__range__updI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u11131)), hAPP(c_Set_Oimage(_u11132, tc_Option_Ooption(_u11131), _u11133), c_Orderings_Otop__class_Otop(tc_fun(_u11132, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u11131)), hAPP(c_Set_Oimage(_u11132, tc_Option_Ooption(_u11131), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11132, tc_Option_Ooption(_u11131)), _u11133), _u11134), hAPP(c_Option_Ooption_OSome(_u11131), _u11135))), c_Orderings_Otop__class_Otop(tc_fun(_u11132, tc_HOL_Obool))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_image__map__upd ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_image__map__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11136), _u11137), _u11138)) | ( hAPP(c_Set_Oimage(_u11136, tc_Option_Ooption(_u11139), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11136, tc_Option_Ooption(_u11139)), _u11140), _u11137), hAPP(c_Option_Ooption_OSome(_u11139), _u11141))), _u11138) = hAPP(c_Set_Oimage(_u11136, tc_Option_Ooption(_u11139), _u11140), _u11138)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_map__upd__nonempty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_map__upd__nonempty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11142, tc_Option_Ooption(_u11143)), _u11144), _u11145), hAPP(c_Option_Ooption_OSome(_u11143), _u11146)) != hAPP(c_COMBK(tc_Option_Ooption(_u11143), _u11142), c_Option_Ooption_ONone(_u11143))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_map__upd__eqD1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_map__upd__eqD1-1, axiom, ( ( _u11151 = _u11153) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11147, tc_Option_Ooption(_u11148)), _u11149), _u11150), hAPP(c_Option_Ooption_OSome(_u11148), _u11151)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11147, tc_Option_Ooption(_u11148)), _u11152), _u11150), hAPP(c_Option_Ooption_OSome(_u11148), _u11153))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_map__upd__triv ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_map__upd__triv-1, axiom, ( ( hAPP(_u11154, _u11155) != hAPP(c_Option_Ooption_OSome(_u11156), _u11157)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11158, tc_Option_Ooption(_u11156)), _u11154), _u11155), hAPP(c_Option_Ooption_OSome(_u11156), _u11157)) = _u11154) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_map__upd__Some__unfold ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_map__upd__Some__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11166, tc_Option_Ooption(_u11168)), _u11170), _u11172), hAPP(c_Option_Ooption_OSome(_u11168), _u11174)), _u11176) != hAPP(c_Option_Ooption_OSome(_u11168), _u11178)) | ( _u11176 = _u11172) | ( hAPP(_u11170, _u11176) = hAPP(c_Option_Ooption_OSome(_u11168), _u11178)) )).
% 27.68/27.89 cnf(fact_map__upd__Some__unfold-2, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11166, tc_Option_Ooption(_u11168)), _u11170), _u11172), hAPP(c_Option_Ooption_OSome(_u11168), _u11174)), _u11176) != hAPP(c_Option_Ooption_OSome(_u11168), _u11178)) | ( _u11174 = _u11178) | ( _u11176 != _u11172) )).
% 27.68/27.89 cnf(fact_map__upd__Some__unfold-3, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11166, tc_Option_Ooption(_u11168)), _u11170), _u11172), hAPP(c_Option_Ooption_OSome(_u11168), _u11174)), _u11176) != hAPP(c_Option_Ooption_OSome(_u11168), _u11178)) | ( _u11174 = _u11178) | ( hAPP(_u11170, _u11176) = hAPP(c_Option_Ooption_OSome(_u11168), _u11178)) )).
% 27.68/27.89 cnf(fact_map__upd__Some__unfold-4, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11167, tc_Option_Ooption(_u11169)), _u11171), _u11173), hAPP(c_Option_Ooption_OSome(_u11169), _u11175)), _u11177) = hAPP(c_Option_Ooption_OSome(_u11169), _u11179)) | ( _u11177 != _u11173) | ( _u11175 != _u11179) )).
% 27.68/27.89 cnf(fact_map__upd__Some__unfold-5, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11167, tc_Option_Ooption(_u11169)), _u11171), _u11173), hAPP(c_Option_Ooption_OSome(_u11169), _u11175)), _u11177) = hAPP(c_Option_Ooption_OSome(_u11169), _u11179)) | ( _u11177 = _u11173) | ( hAPP(_u11171, _u11177) != hAPP(c_Option_Ooption_OSome(_u11169), _u11179)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_empty__upd__none ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_empty__upd__none-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11180, tc_Option_Ooption(_u11181)), hAPP(c_COMBK(tc_Option_Ooption(_u11181), _u11180), c_Option_Ooption_ONone(_u11181))), _u11182), c_Option_Ooption_ONone(_u11181)), _u11183) = c_Option_Ooption_ONone(_u11181)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_transfer__int__nat__sum__prod2_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_transfer__int__nat__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11185, tc_Int_Oint), _u11187), _u11186) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11185, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11185), c_Int_Onat), _u11187)), _u11186))) | hBOOL(hAPP(hAPP(c_member(_u11185), skolem223(_u11187, _u11186, _u11185)), _u11186)) )).
% 27.68/27.89 cnf(fact_transfer__int__nat__sum__prod2_I2_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11185, tc_Int_Oint), _u11187), _u11186) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11185, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11185), c_Int_Onat), _u11187)), _u11186))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11187, skolem223(_u11187, _u11186, _u11185))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ran__map__upd ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ran__map__upd-1, axiom, ( ( hAPP(_u11188, _u11189) != c_Option_Ooption_ONone(_u11190)) | ( c_Map_Oran(_u11191, _u11190, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11191, tc_Option_Ooption(_u11190)), _u11188), _u11189), hAPP(c_Option_Ooption_OSome(_u11190), _u11192))) = hAPP(hAPP(c_Set_Oinsert(_u11190), _u11192), c_Map_Oran(_u11191, _u11190, _u11188))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__None__restrict ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__None__restrict-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11198), _u11200), _u11202)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11198, tc_Option_Ooption(_u11204)), c_Map_Orestrict__map(_u11198, _u11204, _u11206, _u11202)), _u11200), c_Option_Ooption_ONone(_u11204)) = c_Map_Orestrict__map(_u11198, _u11204, _u11206, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11198, tc_HOL_Obool)), _u11202), hAPP(hAPP(c_Set_Oinsert(_u11198), _u11200), c_Orderings_Obot__class_Obot(tc_fun(_u11198, tc_HOL_Obool)))))) )).
% 27.68/27.89 cnf(fact_fun__upd__None__restrict-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11199), _u11201), _u11203)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11199, tc_Option_Ooption(_u11205)), c_Map_Orestrict__map(_u11199, _u11205, _u11207, _u11203)), _u11201), c_Option_Ooption_ONone(_u11205)) = c_Map_Orestrict__map(_u11199, _u11205, _u11207, _u11203)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_restrict__in ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_restrict__in-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11208), _u11209), _u11210)) | ( hAPP(c_Map_Orestrict__map(_u11208, _u11211, _u11212, _u11210), _u11209) = hAPP(_u11212, _u11209)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_restrict__map__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_restrict__map__empty-1, axiom, ( ( hAPP(c_Map_Orestrict__map(_u11213, _u11214, hAPP(c_COMBK(tc_Option_Ooption(_u11214), _u11213), c_Option_Ooption_ONone(_u11214)), _u11215), _u11216) = c_Option_Ooption_ONone(_u11214)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_restrict__out ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_restrict__out-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11217), _u11218), _u11219)) | ( hAPP(c_Map_Orestrict__map(_u11217, _u11220, _u11221, _u11219), _u11218) = c_Option_Ooption_ONone(_u11220)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_restrict__map__insert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_restrict__map__insert-1, axiom, ( ( c_Map_Orestrict__map(_u11222, _u11223, _u11224, hAPP(hAPP(c_Set_Oinsert(_u11222), _u11225), _u11226)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11222, tc_Option_Ooption(_u11223)), c_Map_Orestrict__map(_u11222, _u11223, _u11224, _u11226)), _u11225), hAPP(_u11224, _u11225))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_restrict__map__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_restrict__map__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11232), _u11234), _u11236)) | ( hAPP(c_Map_Orestrict__map(_u11232, _u11238, _u11240, _u11236), _u11234) = hAPP(_u11240, _u11234)) )).
% 27.68/27.89 cnf(fact_restrict__map__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11233), _u11235), _u11237)) | ( hAPP(c_Map_Orestrict__map(_u11233, _u11239, _u11241, _u11237), _u11235) = c_Option_Ooption_ONone(_u11239)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_restrict__map__to__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_restrict__map__to__empty-1, axiom, ( ( hAPP(c_Map_Orestrict__map(_u11242, _u11243, _u11244, c_Orderings_Obot__class_Obot(tc_fun(_u11242, tc_HOL_Obool))), _u11245) = c_Option_Ooption_ONone(_u11243)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ranI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ranI-1, axiom, ( ( hAPP(_u11246, _u11247) != hAPP(c_Option_Ooption_OSome(_u11248), _u11249)) | hBOOL(hAPP(hAPP(c_member(_u11248), _u11249), c_Map_Oran(_u11250, _u11248, _u11246))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__restrict ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__restrict-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11251, tc_Option_Ooption(_u11252)), c_Map_Orestrict__map(_u11251, _u11252, _u11253, _u11254)), _u11255), _u11256) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11251, tc_Option_Ooption(_u11252)), c_Map_Orestrict__map(_u11251, _u11252, _u11253, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11251, tc_HOL_Obool)), _u11254), hAPP(hAPP(c_Set_Oinsert(_u11251), _u11255), c_Orderings_Obot__class_Obot(tc_fun(_u11251, tc_HOL_Obool)))))), _u11255), _u11256)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ran__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ran__empty-1, axiom, ( ( c_Map_Oran(_u11257, _u11258, hAPP(c_COMBK(tc_Option_Ooption(_u11258), _u11257), c_Option_Ooption_ONone(_u11258))) = c_Orderings_Obot__class_Obot(tc_fun(_u11258, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_restrict__fun__upd ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_restrict__fun__upd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11265), _u11267), _u11269)) | ( c_Map_Orestrict__map(_u11265, _u11271, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11265, tc_Option_Ooption(_u11271)), _u11273), _u11267), _u11275), _u11269) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11265, tc_Option_Ooption(_u11271)), c_Map_Orestrict__map(_u11265, _u11271, _u11273, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11265, tc_HOL_Obool)), _u11269), hAPP(hAPP(c_Set_Oinsert(_u11265), _u11267), c_Orderings_Obot__class_Obot(tc_fun(_u11265, tc_HOL_Obool)))))), _u11267), _u11275)) )).
% 27.68/27.89 cnf(fact_restrict__fun__upd-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11266), _u11268), _u11270)) | ( c_Map_Orestrict__map(_u11266, _u11272, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11266, tc_Option_Ooption(_u11272)), _u11274), _u11268), _u11276), _u11270) = c_Map_Orestrict__map(_u11266, _u11272, _u11274, _u11270)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__restrict__conv ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__restrict__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11277), _u11278), _u11279)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11277, tc_Option_Ooption(_u11280)), c_Map_Orestrict__map(_u11277, _u11280, _u11281, _u11279)), _u11278), _u11282) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11277, tc_Option_Ooption(_u11280)), c_Map_Orestrict__map(_u11277, _u11280, _u11281, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11277, tc_HOL_Obool)), _u11279), hAPP(hAPP(c_Set_Oinsert(_u11277), _u11278), c_Orderings_Obot__class_Obot(tc_fun(_u11277, tc_HOL_Obool)))))), _u11278), _u11282)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_restrict__complement__singleton__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_restrict__complement__singleton__eq-1, axiom, ( ( c_Map_Orestrict__map(_u11283, _u11284, _u11285, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11283, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11283), _u11286), c_Orderings_Obot__class_Obot(tc_fun(_u11283, tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11283, tc_Option_Ooption(_u11284)), _u11285), _u11286), c_Option_Ooption_ONone(_u11284))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_restrict__upd__same ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_restrict__upd__same-1, axiom, ( ( c_Map_Orestrict__map(_u11287, _u11288, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11287, tc_Option_Ooption(_u11288)), _u11289), _u11290), hAPP(c_Option_Ooption_OSome(_u11288), _u11291)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11287, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11287), _u11290), c_Orderings_Obot__class_Obot(tc_fun(_u11287, tc_HOL_Obool))))) = c_Map_Orestrict__map(_u11287, _u11288, _u11289, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11287, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11287), _u11290), c_Orderings_Obot__class_Obot(tc_fun(_u11287, tc_HOL_Obool)))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__nonneg__0 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__nonneg__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11293) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11294), _u11295)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11294, _u11293), _u11296), _u11295) != c_Groups_Ozero__class_Ozero(_u11293)) | ~hBOOL(hAPP(hAPP(c_member(_u11294), _u11297), _u11295)) | ( hAPP(_u11296, _u11297) = c_Groups_Ozero__class_Ozero(_u11293)) | hBOOL(hAPP(hAPP(c_member(_u11294), skolem224(_u11297, _u11296, _u11295, _u11294, _u11293)), _u11295)) )).
% 27.68/27.89 cnf(fact_setsum__nonneg__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11293) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11294), _u11295)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11294, _u11293), _u11296), _u11295) != c_Groups_Ozero__class_Ozero(_u11293)) | ~hBOOL(hAPP(hAPP(c_member(_u11294), _u11297), _u11295)) | ( hAPP(_u11296, _u11297) = c_Groups_Ozero__class_Ozero(_u11293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11293), c_Groups_Ozero__class_Ozero(_u11293)), hAPP(_u11296, skolem224(_u11297, _u11296, _u11295, _u11294, _u11293)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_pair__lessI2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_pair__lessI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11298), _u11299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11300), _u11301)) | 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), _u11298), _u11300)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11299), _u11301))), c_FunDef_Opair__less)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OSup__fin_Ohom__commute ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u11304) | ( hAPP(_u11305, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11304), skolem225(_u11306, _u11305, _u11304)), skolem226(_u11306, _u11305, _u11304))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11304), hAPP(_u11305, skolem225(_u11306, _u11305, _u11304))), hAPP(_u11305, skolem226(_u11306, _u11305, _u11304)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11304), _u11306)) | ( _u11306 = c_Orderings_Obot__class_Obot(tc_fun(_u11304, tc_HOL_Obool))) | ( hAPP(_u11305, c_Big__Operators_Olattice_OSup__fin(_u11304, c_Orderings_Oord__class_Omax(_u11304), _u11306)) = c_Big__Operators_Olattice_OSup__fin(_u11304, c_Orderings_Oord__class_Omax(_u11304), hAPP(c_Set_Oimage(_u11304, _u11304, _u11305), _u11306))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_pair__lessI1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_pair__lessI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11307), _u11308)) | 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), _u11307), _u11309)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11308), _u11310))), c_FunDef_Opair__less)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_pair__leqI2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_pair__leqI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11311), _u11312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11313), _u11314)) | 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), _u11311), _u11313)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11312), _u11314))), c_FunDef_Opair__leq)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_smin__insertI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_smin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11315), _u11316)) | ~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)), _u11315), _u11317)), 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)), _u11316), _u11318)), 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)), _u11316), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11317), _u11318))), c_FunDef_Omin__strict)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_smax__insertI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_smax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11319), _u11320)) | ~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)), _u11321), _u11319)), 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)), _u11322), _u11320)), 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)), _u11321), _u11322)), _u11320)), c_FunDef_Omax__strict)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_smin__emptyI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_smin__emptyI-1, axiom, ( ( _u11323 = 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)), _u11323), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_smax__emptyI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_smax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11324)) | ( _u11324 = 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))), _u11324)), c_FunDef_Omax__strict)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_pair__leqI1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_pair__leqI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11325), _u11326)) | 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), _u11325), _u11327)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11326), _u11328))), c_FunDef_Opair__leq)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_wmax__insertI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_wmax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11329), _u11330)) | ~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)), _u11331), _u11329)), 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)), _u11332), _u11330)), 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)), _u11331), _u11332)), _u11330)), c_FunDef_Omax__weak)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_wmin__insertI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_wmin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11333), _u11334)) | ~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)), _u11333), _u11335)), 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)), _u11334), _u11336)), 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)), _u11334), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11335), _u11336))), c_FunDef_Omin__weak)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_wmin__emptyI ( axiom ) converted to clauses:
% 27.68/27.89 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)), _u11337), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_wmax__emptyI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_wmax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11338)) | 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))), _u11338)), c_FunDef_Omax__weak)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__weak__def ( axiom ) converted to clauses:
% 27.68/27.89 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))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_max__weak__def ( axiom ) converted to clauses:
% 27.68/27.89 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))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__rpair__set ( axiom ) converted to clauses:
% 27.68/27.89 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)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_max__strict__def ( axiom ) converted to clauses:
% 27.68/27.89 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)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_max__ext__additive ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_max__ext__additive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11339, tc_HOL_Obool), tc_fun(_u11339, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11339, tc_HOL_Obool), tc_fun(_u11339, tc_HOL_Obool)), _u11340), _u11341)), c_Wellfounded_Omax__ext(_u11339, _u11342))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11339, tc_HOL_Obool), tc_fun(_u11339, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11339, tc_HOL_Obool), tc_fun(_u11339, tc_HOL_Obool)), _u11343), _u11344)), c_Wellfounded_Omax__ext(_u11339, _u11342))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11339, tc_HOL_Obool), tc_fun(_u11339, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11339, tc_HOL_Obool), tc_fun(_u11339, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11339, tc_HOL_Obool)), _u11340), _u11343)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11339, tc_HOL_Obool)), _u11341), _u11344))), c_Wellfounded_Omax__ext(_u11339, _u11342))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__strict__def ( axiom ) converted to clauses:
% 27.68/27.89 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)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_max__rpair__set ( axiom ) converted to clauses:
% 27.68/27.89 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)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_max__extp__max__ext__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_max__extp__max__ext__eq-1, axiom, ( ~c_Wellfounded_Omax__extp(_u11349, hAPP(hAPP(c_COMBC(_u11349, tc_fun(tc_prod(_u11349, _u11349), tc_HOL_Obool), tc_fun(_u11349, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11349, tc_fun(tc_fun(tc_prod(_u11349, _u11349), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11349, _u11349), tc_HOL_Obool), tc_fun(_u11349, tc_HOL_Obool)), _u11349), c_COMBC(_u11349, tc_fun(tc_prod(_u11349, _u11349), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11349, tc_prod(_u11349, _u11349)), tc_fun(_u11349, tc_fun(tc_fun(tc_prod(_u11349, _u11349), tc_HOL_Obool), tc_HOL_Obool)), _u11349), hAPP(c_COMBB(tc_prod(_u11349, _u11349), tc_fun(tc_fun(tc_prod(_u11349, _u11349), tc_HOL_Obool), tc_HOL_Obool), _u11349), c_member(tc_prod(_u11349, _u11349)))), c_Product__Type_OPair(_u11349, _u11349)))), _u11351), _u11353, _u11355) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11349, tc_HOL_Obool), tc_fun(_u11349, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11349, tc_HOL_Obool), tc_fun(_u11349, tc_HOL_Obool)), _u11353), _u11355)), c_Wellfounded_Omax__ext(_u11349, _u11351))) )).
% 27.68/27.89 cnf(fact_max__extp__max__ext__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11350, tc_HOL_Obool), tc_fun(_u11350, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11350, tc_HOL_Obool), tc_fun(_u11350, tc_HOL_Obool)), _u11354), _u11356)), c_Wellfounded_Omax__ext(_u11350, _u11352))) | c_Wellfounded_Omax__extp(_u11350, hAPP(hAPP(c_COMBC(_u11350, tc_fun(tc_prod(_u11350, _u11350), tc_HOL_Obool), tc_fun(_u11350, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11350, tc_fun(tc_fun(tc_prod(_u11350, _u11350), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11350, _u11350), tc_HOL_Obool), tc_fun(_u11350, tc_HOL_Obool)), _u11350), c_COMBC(_u11350, tc_fun(tc_prod(_u11350, _u11350), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11350, tc_prod(_u11350, _u11350)), tc_fun(_u11350, tc_fun(tc_fun(tc_prod(_u11350, _u11350), tc_HOL_Obool), tc_HOL_Obool)), _u11350), hAPP(c_COMBB(tc_prod(_u11350, _u11350), tc_fun(tc_fun(tc_prod(_u11350, _u11350), tc_HOL_Obool), tc_HOL_Obool), _u11350), c_member(tc_prod(_u11350, _u11350)))), c_Product__Type_OPair(_u11350, _u11350)))), _u11352), _u11354, _u11356) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_less__than__iff ( axiom ) converted to clauses:
% 27.68/27.89 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), _u11359), _u11361)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11359), _u11361)) )).
% 27.68/27.89 cnf(fact_less__than__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11360), _u11362)) | 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), _u11360), _u11362)), c_Wellfounded_Oless__than)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_intrel__iff ( axiom ) converted to clauses:
% 27.68/27.89 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), _u11367), _u11369)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11371), _u11373))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11367), _u11373) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11371), _u11369)) )).
% 27.68/27.89 cnf(fact_intrel__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11368), _u11374) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11372), _u11370)) | 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), _u11368), _u11370)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11372), _u11374))), c_Int_Ointrel)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_pair__less__def ( axiom ) converted to clauses:
% 27.68/27.89 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)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_mlex__prod__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_mlex__prod__def-1, axiom, ( ( c_Wellfounded_Omlex__prod(_u11375, _u11376, _u11377) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u11375), _u11375), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u11375, c_Wellfounded_Oless__than, _u11377)), hAPP(hAPP(c_COMBS(_u11375, _u11375, tc_prod(tc_Nat_Onat, _u11375)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11375, tc_prod(tc_Nat_Onat, _u11375)), _u11375), c_Product__Type_OPair(tc_Nat_Onat, _u11375)), _u11376)), c_COMBI(_u11375)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_rp__inv__image__rp ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_rp__inv__image__rp-1, axiom, ( ~c_FunDef_Oreduction__pair(_u11378, _u11379) | c_FunDef_Oreduction__pair(_u11380, hAPP(hAPP(c_FunDef_Orp__inv__image(_u11378, _u11380), _u11379), _u11381)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OInf__fin_Ohom__commute ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u11384) | ( hAPP(_u11385, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11384), skolem227(_u11386, _u11385, _u11384)), skolem228(_u11386, _u11385, _u11384))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11384), hAPP(_u11385, skolem227(_u11386, _u11385, _u11384))), hAPP(_u11385, skolem228(_u11386, _u11385, _u11384)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11384), _u11386)) | ( _u11386 = c_Orderings_Obot__class_Obot(tc_fun(_u11384, tc_HOL_Obool))) | ( hAPP(_u11385, c_Big__Operators_Olattice_OInf__fin(_u11384, c_Orderings_Oord__class_Omin(_u11384), _u11386)) = c_Big__Operators_Olattice_OInf__fin(_u11384, c_Orderings_Oord__class_Omin(_u11384), hAPP(c_Set_Oimage(_u11384, _u11384, _u11385), _u11386))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_rp__inv__image__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_rp__inv__image__def-1, axiom, ( ( c_FunDef_Orp__inv__image(_u11387, _u11388) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_fun(_u11388, _u11387), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_fun(_u11388, _u11387), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)), tc_fun(tc_fun(_u11388, _u11387), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_fun(_u11388, _u11387), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool))))), tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)), tc_fun(tc_fun(_u11388, _u11387), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool))), tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)), tc_fun(tc_fun(_u11388, _u11387), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool)), c_COMBS(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)), tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool))), tc_fun(_u11388, _u11387)), c_Product__Type_OPair(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), c_Relation_Oinv__image(_u11387, _u11388))))), c_Relation_Oinv__image(_u11387, _u11388)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11401, _u11401)), hAPP(hAPP(c_Product__Type_OPair(_u11401, _u11401), hAPP(_u11405, _u11397)), hAPP(_u11405, _u11399))), _u11403)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11395, _u11395)), hAPP(hAPP(c_Product__Type_OPair(_u11395, _u11395), _u11397), _u11399)), hAPP(hAPP(c_Relation_Oinv__image(_u11401, _u11395), _u11403), _u11405))) )).
% 27.68/27.89 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11402, _u11402)), hAPP(hAPP(c_Product__Type_OPair(_u11402, _u11402), hAPP(_u11406, _u11398)), hAPP(_u11406, _u11400))), _u11404)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11396, _u11396)), hAPP(hAPP(c_Product__Type_OPair(_u11396, _u11396), _u11398), _u11400)), hAPP(hAPP(c_Relation_Oinv__image(_u11402, _u11396), _u11404), _u11406))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max_Ohom__commute ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u11409) | ( hAPP(_u11410, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11409), skolem229(_u11411, _u11410, _u11409)), skolem230(_u11411, _u11410, _u11409))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11409), hAPP(_u11410, skolem229(_u11411, _u11410, _u11409))), hAPP(_u11410, skolem230(_u11411, _u11410, _u11409)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11409), _u11411)) | ( _u11411 = c_Orderings_Obot__class_Obot(tc_fun(_u11409, tc_HOL_Obool))) | ( hAPP(_u11410, c_Big__Operators_Olinorder__class_OMax(_u11409, _u11411)) = c_Big__Operators_Olinorder__class_OMax(_u11409, hAPP(c_Set_Oimage(_u11409, _u11409, _u11410), _u11411))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min_Ohom__commute ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u11414) | ( hAPP(_u11415, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11414), skolem231(_u11416, _u11415, _u11414)), skolem232(_u11416, _u11415, _u11414))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11414), hAPP(_u11415, skolem231(_u11416, _u11415, _u11414))), hAPP(_u11415, skolem232(_u11416, _u11415, _u11414)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11414), _u11416)) | ( _u11416 = c_Orderings_Obot__class_Obot(tc_fun(_u11414, tc_HOL_Obool))) | ( hAPP(_u11415, c_Big__Operators_Olinorder__class_OMin(_u11414, _u11416)) = c_Big__Operators_Olinorder__class_OMin(_u11414, hAPP(c_Set_Oimage(_u11414, _u11414, _u11415), _u11416))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_measure__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_measure__def-1, axiom, ( ( c_Wellfounded_Omeasure(_u11417) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u11417), c_Wellfounded_Oless__than)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u11422, _u11424) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11422, _u11422)), hAPP(hAPP(c_Product__Type_OPair(_u11422, _u11422), _u11418), _u11418)), _u11424)) )).
% 27.68/27.89 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11423, _u11423)), hAPP(hAPP(c_Product__Type_OPair(_u11423, _u11423), skolem233(_u11425, _u11423)), skolem233(_u11425, _u11423))), _u11425)) | c_Relation_Oirrefl(_u11423, _u11425) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Field__insert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Field__insert-1, axiom, ( ( hAPP(c_Relation_OField(_u11426), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u11426, _u11426)), hAPP(hAPP(c_Product__Type_OPair(_u11426, _u11426), _u11427), _u11428)), _u11429)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11426, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11426), _u11427), hAPP(hAPP(c_Set_Oinsert(_u11426), _u11428), c_Orderings_Obot__class_Obot(tc_fun(_u11426, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u11426), _u11429))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Id__on__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Id__on__def-1, axiom, ( ( c_Relation_OId__on(_u11430, _u11431) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11430, tc_fun(tc_prod(_u11430, _u11430), tc_HOL_Obool)), _u11431), hAPP(hAPP(c_COMBC(_u11430, tc_fun(tc_prod(_u11430, _u11430), tc_HOL_Obool), tc_fun(tc_prod(_u11430, _u11430), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u11430, _u11430), tc_fun(tc_fun(tc_prod(_u11430, _u11430), tc_HOL_Obool), tc_fun(tc_prod(_u11430, _u11430), tc_HOL_Obool)), _u11430), c_Set_Oinsert(tc_prod(_u11430, _u11430))), hAPP(hAPP(c_COMBS(_u11430, _u11430, tc_prod(_u11430, _u11430)), c_Product__Type_OPair(_u11430, _u11430)), c_COMBI(_u11430)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11430, _u11430), tc_HOL_Obool))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Id__on__def_H ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Id__on__def_H-1, axiom, ( ( c_Relation_OId__on(_u11432, _u11433) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11432, _u11432, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u11432, tc_HOL_Obool, tc_fun(_u11432, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11432, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u11432, tc_HOL_Obool)), _u11432), c_COMBC(_u11432, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11432, tc_HOL_Obool), tc_fun(_u11432, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11432), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11432), c_fconj)), c_fequal))), _u11433))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u11434, c_Orderings_Obot__class_Obot(tc_fun(_u11434, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11434, _u11434), tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Field__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Field__empty-1, axiom, ( ( hAPP(c_Relation_OField(_u11435), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11435, _u11435), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11435, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_mono__Field ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_mono__Field-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11436, _u11436), tc_HOL_Obool)), _u11437), _u11438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11436, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11436), _u11437)), hAPP(c_Relation_OField(_u11436), _u11438))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Field__Un ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Field__Un-1, axiom, ( ( hAPP(c_Relation_OField(_u11439), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11439, _u11439), tc_HOL_Obool)), _u11440), _u11441)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11439, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11439), _u11440)), hAPP(c_Relation_OField(_u11439), _u11441))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_finite__Field ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_finite__Field-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u11442, _u11442)), _u11443)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11442), hAPP(c_Relation_OField(_u11442), _u11443))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Id__on__eqI-1, axiom, ( ( _u11444 != _u11445) | ~hBOOL(hAPP(hAPP(c_member(_u11446), _u11444), _u11447)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11446, _u11446)), hAPP(hAPP(c_Product__Type_OPair(_u11446, _u11446), _u11444), _u11445)), c_Relation_OId__on(_u11446, _u11447))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11452, _u11452)), hAPP(hAPP(c_Product__Type_OPair(_u11452, _u11452), _u11454), _u11456)), c_Relation_OId__on(_u11452, _u11458))) | ( _u11454 = _u11456) )).
% 27.68/27.89 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11452, _u11452)), hAPP(hAPP(c_Product__Type_OPair(_u11452, _u11452), _u11454), _u11456)), c_Relation_OId__on(_u11452, _u11458))) | hBOOL(hAPP(hAPP(c_member(_u11452), _u11454), _u11458)) )).
% 27.68/27.89 cnf(fact_Id__on__iff-3, axiom, ( ( _u11455 != _u11457) | ~hBOOL(hAPP(hAPP(c_member(_u11453), _u11455), _u11459)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11453, _u11453)), hAPP(hAPP(c_Product__Type_OPair(_u11453, _u11453), _u11455), _u11457)), c_Relation_OId__on(_u11453, _u11459))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11461, _u11461)), _u11462), c_Relation_OId__on(_u11461, _u11463))) | hBOOL(hAPP(hAPP(c_member(_u11461), skolem234(_u11463, _u11462, _u11461)), _u11463)) )).
% 27.68/27.89 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11461, _u11461)), _u11462), c_Relation_OId__on(_u11461, _u11463))) | ( _u11462 = hAPP(hAPP(c_Product__Type_OPair(_u11461, _u11461), skolem234(_u11463, _u11462, _u11461)), skolem234(_u11463, _u11462, _u11461))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Sup__fin_Ohom__commute ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Sup__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u11466) | ( hAPP(_u11467, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11466), skolem235(_u11468, _u11467, _u11466)), skolem236(_u11468, _u11467, _u11466))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11466), hAPP(_u11467, skolem235(_u11468, _u11467, _u11466))), hAPP(_u11467, skolem236(_u11468, _u11467, _u11466)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11466), _u11468)) | ( _u11468 = c_Orderings_Obot__class_Obot(tc_fun(_u11466, tc_HOL_Obool))) | ( hAPP(_u11467, c_Big__Operators_Olattice__class_OSup__fin(_u11466, _u11468)) = c_Big__Operators_Olattice__class_OSup__fin(_u11466, hAPP(c_Set_Oimage(_u11466, _u11466, _u11467), _u11468))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__mono__one__left ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__mono__one__left-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11471), _u11472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11471, tc_HOL_Obool)), _u11473), _u11472)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11471, _u11470), _u11474), _u11473) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11471, _u11470), _u11474), _u11472)) | hBOOL(hAPP(hAPP(c_member(_u11471), skolem237(_u11474, _u11473, _u11472, _u11471, _u11470)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11471, tc_HOL_Obool)), _u11472), _u11473))) )).
% 27.68/27.89 cnf(fact_setprod__mono__one__left-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11471), _u11472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11471, tc_HOL_Obool)), _u11473), _u11472)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11471, _u11470), _u11474), _u11473) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11471, _u11470), _u11474), _u11472)) | ( hAPP(_u11474, skolem237(_u11474, _u11473, _u11472, _u11471, _u11470)) != c_Groups_Oone__class_Oone(_u11470)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__mono__one__right ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__mono__one__right-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11477), _u11478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11477, tc_HOL_Obool)), _u11479), _u11478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11477, _u11476), _u11480), _u11478) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11477, _u11476), _u11480), _u11479)) | hBOOL(hAPP(hAPP(c_member(_u11477), skolem238(_u11480, _u11479, _u11478, _u11477, _u11476)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11477, tc_HOL_Obool)), _u11478), _u11479))) )).
% 27.68/27.89 cnf(fact_setprod__mono__one__right-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11477), _u11478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11477, tc_HOL_Obool)), _u11479), _u11478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11477, _u11476), _u11480), _u11478) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11477, _u11476), _u11480), _u11479)) | ( hAPP(_u11480, skolem238(_u11480, _u11479, _u11478, _u11477, _u11476)) != c_Groups_Oone__class_Oone(_u11476)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__mono__zero__right ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__mono__zero__right-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11482) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11483), _u11484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11483, tc_HOL_Obool)), _u11485), _u11484)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11483, _u11482), _u11486), _u11484) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11483, _u11482), _u11486), _u11485)) | hBOOL(hAPP(hAPP(c_member(_u11483), skolem239(_u11486, _u11485, _u11484, _u11483, _u11482)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11483, tc_HOL_Obool)), _u11484), _u11485))) )).
% 27.68/27.89 cnf(fact_setsum__mono__zero__right-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11482) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11483), _u11484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11483, tc_HOL_Obool)), _u11485), _u11484)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11483, _u11482), _u11486), _u11484) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11483, _u11482), _u11486), _u11485)) | ( hAPP(_u11486, skolem239(_u11486, _u11485, _u11484, _u11483, _u11482)) != c_Groups_Ozero__class_Ozero(_u11482)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__mono__zero__left ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__mono__zero__left-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11489), _u11490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11489, tc_HOL_Obool)), _u11491), _u11490)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11489, _u11488), _u11492), _u11491) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11489, _u11488), _u11492), _u11490)) | hBOOL(hAPP(hAPP(c_member(_u11489), skolem240(_u11492, _u11491, _u11490, _u11489, _u11488)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11489, tc_HOL_Obool)), _u11490), _u11491))) )).
% 27.68/27.89 cnf(fact_setsum__mono__zero__left-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11489), _u11490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11489, tc_HOL_Obool)), _u11491), _u11490)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11489, _u11488), _u11492), _u11491) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11489, _u11488), _u11492), _u11490)) | ( hAPP(_u11492, skolem240(_u11492, _u11491, _u11490, _u11489, _u11488)) != c_Groups_Ozero__class_Ozero(_u11488)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card__Pow ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card__Pow-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11493), _u11494)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11493, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11493), _u11494)) = 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(_u11493), _u11494))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_finite__empty__induct ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_finite__empty__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11497), _u11498)) | ~hBOOL(hAPP(_u11499, _u11498)) | hBOOL(hAPP(_u11499, c_Orderings_Obot__class_Obot(tc_fun(_u11497, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11497), skolem242(_u11499, _u11498, _u11497))) )).
% 27.68/27.89 cnf(fact_finite__empty__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11497), _u11498)) | ~hBOOL(hAPP(_u11499, _u11498)) | hBOOL(hAPP(_u11499, c_Orderings_Obot__class_Obot(tc_fun(_u11497, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u11497), skolem241(_u11499, _u11498, _u11497)), skolem242(_u11499, _u11498, _u11497))) )).
% 27.68/27.89 cnf(fact_finite__empty__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11497), _u11498)) | ~hBOOL(hAPP(_u11499, _u11498)) | hBOOL(hAPP(_u11499, c_Orderings_Obot__class_Obot(tc_fun(_u11497, tc_HOL_Obool)))) | hBOOL(hAPP(_u11499, skolem242(_u11499, _u11498, _u11497))) )).
% 27.68/27.89 cnf(fact_finite__empty__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11497), _u11498)) | ~hBOOL(hAPP(_u11499, _u11498)) | hBOOL(hAPP(_u11499, c_Orderings_Obot__class_Obot(tc_fun(_u11497, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u11499, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11497, tc_HOL_Obool)), skolem242(_u11499, _u11498, _u11497)), hAPP(hAPP(c_Set_Oinsert(_u11497), skolem241(_u11499, _u11498, _u11497)), c_Orderings_Obot__class_Obot(tc_fun(_u11497, tc_HOL_Obool)))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__one__idem_Ounion__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__one__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u11500, _u11501, _u11502) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11500), _u11503)) | ( _u11503 = c_Orderings_Obot__class_Obot(tc_fun(_u11500, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11500), _u11504)) | ( _u11504 = c_Orderings_Obot__class_Obot(tc_fun(_u11500, tc_HOL_Obool))) | ( hAPP(_u11502, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11500, tc_HOL_Obool)), _u11503), _u11504)) = hAPP(hAPP(_u11501, hAPP(_u11502, _u11503)), hAPP(_u11502, _u11504))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_PowI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_PowI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11505, tc_HOL_Obool)), _u11506), _u11507)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11505, tc_HOL_Obool)), _u11506), hAPP(c_Set_OPow(_u11505), _u11507))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Pow__insert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Pow__insert-1, axiom, ( ( hAPP(c_Set_OPow(_u11508), hAPP(hAPP(c_Set_Oinsert(_u11508), _u11509), _u11510)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u11508, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11508), _u11510)), hAPP(c_Set_Oimage(tc_fun(_u11508, tc_HOL_Obool), tc_fun(_u11508, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u11508), _u11509)), hAPP(c_Set_OPow(_u11508), _u11510)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Pow__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Pow__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u11511), c_Orderings_Obot__class_Obot(tc_fun(_u11511, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11511, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11511, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11511, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Pow__bottom ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Pow__bottom-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u11512, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11512, tc_HOL_Obool))), hAPP(c_Set_OPow(_u11512), _u11513))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Pow__not__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Pow__not__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u11514), _u11515) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11514, tc_HOL_Obool), tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Un__Pow__subset ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Un__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11516, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u11516, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11516), _u11517)), hAPP(c_Set_OPow(_u11516), _u11518))), hAPP(c_Set_OPow(_u11516), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11516, tc_HOL_Obool)), _u11517), _u11518)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Pow__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Pow__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11522, tc_HOL_Obool)), _u11524), hAPP(c_Set_OPow(_u11522), _u11526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11522, tc_HOL_Obool)), _u11524), _u11526)) )).
% 27.68/27.89 cnf(fact_Pow__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11523, tc_HOL_Obool)), _u11525), _u11527)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11523, tc_HOL_Obool)), _u11525), hAPP(c_Set_OPow(_u11523), _u11527))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_PowD ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_PowD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11528, tc_HOL_Obool)), _u11529), hAPP(c_Set_OPow(_u11528), _u11530))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11528, tc_HOL_Obool)), _u11529), _u11530)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Pow__top ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Pow__top-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u11531, tc_HOL_Obool)), _u11532), hAPP(c_Set_OPow(_u11531), _u11532))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Pow__UNIV ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Pow__UNIV-1, axiom, ( ( hAPP(c_Set_OPow(_u11533), c_Orderings_Otop__class_Otop(tc_fun(_u11533, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11533, tc_HOL_Obool), tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__one__idem_Oidem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__one__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u11535, _u11537), _u11537) = _u11537) | ~c_Finite__Set_Ofolding__one__idem(_u11534, _u11535, _u11536) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Pow__mono ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11538, tc_HOL_Obool)), _u11539), _u11540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11538, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11538), _u11539)), hAPP(c_Set_OPow(_u11538), _u11540))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Cantors__paradox ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Cantors__paradox-1, axiom, ( ( hAPP(c_Set_Oimage(_u11542, tc_fun(_u11542, tc_HOL_Obool), _u11541), _u11543) != hAPP(c_Set_OPow(_u11542), _u11543)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_image__Pow__surj ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_image__Pow__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u11544, _u11545, _u11546), _u11547) != _u11548) | ( hAPP(c_Set_Oimage(tc_fun(_u11544, tc_HOL_Obool), tc_fun(_u11545, tc_HOL_Obool), c_Set_Oimage(_u11544, _u11545, _u11546)), hAPP(c_Set_OPow(_u11544), _u11547)) = hAPP(c_Set_OPow(_u11545), _u11548)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_finite__Pow__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_finite__Pow__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11551, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11551), _u11553))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11551), _u11553)) )).
% 27.68/27.89 cnf(fact_finite__Pow__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11552), _u11554)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11552, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11552), _u11554))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__Pow__subset ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11556, tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool)), _u11557), hAPP(hAPP(c_COMBB(tc_fun(_u11555, tc_HOL_Obool), tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool), _u11556), c_Set_OPow(_u11555)), _u11558))), hAPP(c_Set_OPow(_u11555), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11556, tc_fun(_u11555, tc_HOL_Obool)), _u11557), _u11558)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_image__Pow__mono ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_image__Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11559, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11560, _u11559, _u11561), _u11562)), _u11563)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11559, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u11560, tc_HOL_Obool), tc_fun(_u11559, tc_HOL_Obool), c_Set_Oimage(_u11560, _u11559, _u11561)), hAPP(c_Set_OPow(_u11560), _u11562))), hAPP(c_Set_OPow(_u11559), _u11563))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__one__idem_Oin__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__one__idem_Oin__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u11564, _u11565, _u11566) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11564), _u11567)) | ~hBOOL(hAPP(hAPP(c_member(_u11564), _u11568), _u11567)) | ( hAPP(hAPP(_u11565, _u11568), hAPP(_u11566, _u11567)) = hAPP(_u11566, _u11567)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__one__idem_Oinsert__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__one__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u11569, _u11570, _u11571) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11569), _u11572)) | ( _u11572 = c_Orderings_Obot__class_Obot(tc_fun(_u11569, tc_HOL_Obool))) | ( hAPP(_u11571, hAPP(hAPP(c_Set_Oinsert(_u11569), _u11573), _u11572)) = hAPP(hAPP(_u11570, _u11573), hAPP(_u11571, _u11572))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__one__idem_Osubset__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__one__idem_Osubset__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u11574, _u11575, _u11576) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11574), _u11577)) | ( _u11578 = c_Orderings_Obot__class_Obot(tc_fun(_u11574, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11574, tc_HOL_Obool)), _u11578), _u11577)) | ( hAPP(hAPP(_u11575, hAPP(_u11576, _u11578)), hAPP(_u11576, _u11577)) = hAPP(_u11576, _u11577)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Powp__Pow__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Powp__Pow__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u11582, hAPP(hAPP(c_COMBC(_u11582, tc_fun(_u11582, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11582)), _u11584)), _u11586)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11582, tc_HOL_Obool)), _u11586), hAPP(c_Set_OPow(_u11582), _u11584))) )).
% 27.68/27.89 cnf(fact_Powp__Pow__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11583, tc_HOL_Obool)), _u11587), hAPP(c_Set_OPow(_u11583), _u11585))) | hBOOL(hAPP(c_Predicate_OPowp(_u11583, hAPP(hAPP(c_COMBC(_u11583, tc_fun(_u11583, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11583)), _u11585)), _u11587)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_finite__subset__induct ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_finite__subset__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11591), _u11592)) | ~hBOOL(hAPP(_u11593, c_Orderings_Obot__class_Obot(tc_fun(_u11590, tc_HOL_Obool)))) | hBOOL(hAPP(_u11593, _u11591)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), skolem244(_u11593, _u11592, _u11591, _u11590))) )).
% 27.68/27.89 cnf(fact_finite__subset__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11591), _u11592)) | ~hBOOL(hAPP(_u11593, c_Orderings_Obot__class_Obot(tc_fun(_u11590, tc_HOL_Obool)))) | hBOOL(hAPP(_u11593, _u11591)) | hBOOL(hAPP(hAPP(c_member(_u11590), skolem243(_u11593, _u11592, _u11591, _u11590)), _u11592)) )).
% 27.68/27.89 cnf(fact_finite__subset__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11591), _u11592)) | ~hBOOL(hAPP(_u11593, c_Orderings_Obot__class_Obot(tc_fun(_u11590, tc_HOL_Obool)))) | hBOOL(hAPP(_u11593, _u11591)) | ~hBOOL(hAPP(hAPP(c_member(_u11590), skolem243(_u11593, _u11592, _u11591, _u11590)), skolem244(_u11593, _u11592, _u11591, _u11590))) )).
% 27.68/27.89 cnf(fact_finite__subset__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11591), _u11592)) | ~hBOOL(hAPP(_u11593, c_Orderings_Obot__class_Obot(tc_fun(_u11590, tc_HOL_Obool)))) | hBOOL(hAPP(_u11593, _u11591)) | hBOOL(hAPP(_u11593, skolem244(_u11593, _u11592, _u11591, _u11590))) )).
% 27.68/27.89 cnf(fact_finite__subset__induct-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11591), _u11592)) | ~hBOOL(hAPP(_u11593, c_Orderings_Obot__class_Obot(tc_fun(_u11590, tc_HOL_Obool)))) | hBOOL(hAPP(_u11593, _u11591)) | ~hBOOL(hAPP(_u11593, hAPP(hAPP(c_Set_Oinsert(_u11590), skolem243(_u11593, _u11592, _u11591, _u11590)), skolem244(_u11593, _u11592, _u11591, _u11590)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__strict__mono ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__strict__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11595) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11595) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11596), _u11597)) | ( _u11597 = c_Orderings_Obot__class_Obot(tc_fun(_u11596, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11595), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11596, _u11595), _u11598), _u11597)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11596, _u11595), _u11599), _u11597))) | hBOOL(hAPP(hAPP(c_member(_u11596), skolem245(_u11599, _u11598, _u11597, _u11596, _u11595)), _u11597)) )).
% 27.68/27.89 cnf(fact_setsum__strict__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11595) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11595) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11596), _u11597)) | ( _u11597 = c_Orderings_Obot__class_Obot(tc_fun(_u11596, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11595), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11596, _u11595), _u11598), _u11597)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11596, _u11595), _u11599), _u11597))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11595), hAPP(_u11598, skolem245(_u11599, _u11598, _u11597, _u11596, _u11595))), hAPP(_u11599, skolem245(_u11599, _u11598, _u11597, _u11596, _u11595)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Powp__mono ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Powp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11600, tc_HOL_Obool)), _u11601), _u11602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11600, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u11600, _u11601)), c_Predicate_OPowp(_u11600, _u11602))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_equiv__intrel__iff ( axiom ) converted to clauses:
% 27.68/27.89 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)), _u11605), 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)), _u11607), 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)), _u11605), _u11607)), c_Int_Ointrel)) )).
% 27.68/27.89 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)), _u11606), _u11608)), 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)), _u11606), 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)), _u11608), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__Plus ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__Plus-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11610), _u11611)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11612), _u11613)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_sum(_u11610, _u11612), _u11609), _u11614), c_Sum__Type_OPlus(_u11610, _u11612, _u11611, _u11613)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11609), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11610, _u11609), hAPP(c_Fun_Ocomp(tc_sum(_u11610, _u11612), _u11609, _u11610, _u11614), c_Sum__Type_OInl(_u11610, _u11612))), _u11611)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11612, _u11609), hAPP(c_Fun_Ocomp(tc_sum(_u11610, _u11612), _u11609, _u11612, _u11614), c_Sum__Type_OInr(_u11612, _u11610))), _u11613))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_transfer__nat__int__sum__prod__cong_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11616) | ~class_Groups_Ocomm__monoid__mult(_u11616) | ( _u11617 != _u11618) | ~c_Nat__Transfer_Onat__set(_u11618) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11616), _u11619), _u11617) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11616), _u11620), _u11618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem246(_u11620, _u11619, _u11618, _u11617, _u11616))) )).
% 27.68/27.89 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11616) | ~class_Groups_Ocomm__monoid__mult(_u11616) | ( _u11617 != _u11618) | ~c_Nat__Transfer_Onat__set(_u11618) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11616), _u11619), _u11617) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11616), _u11620), _u11618)) | ( hAPP(_u11619, skolem246(_u11620, _u11619, _u11618, _u11617, _u11616)) != hAPP(_u11620, skolem246(_u11620, _u11619, _u11618, _u11617, _u11616))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Image__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Image__empty-1, axiom, ( ( hAPP(c_Relation_OImage(_u11621, _u11622, _u11623), c_Orderings_Obot__class_Obot(tc_fun(_u11621, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11622, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Image__Un ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Image__Un-1, axiom, ( ( hAPP(c_Relation_OImage(_u11624, _u11625, _u11626), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11624, tc_HOL_Obool)), _u11627), _u11628)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11625, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11624, _u11625, _u11626), _u11627)), hAPP(c_Relation_OImage(_u11624, _u11625, _u11626), _u11628))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Image__UN ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Image__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u11629, _u11630, _u11631), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11632, tc_fun(_u11629, tc_HOL_Obool)), _u11633), _u11634)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11632, tc_fun(_u11630, tc_HOL_Obool)), _u11633), hAPP(hAPP(c_COMBB(tc_fun(_u11629, tc_HOL_Obool), tc_fun(_u11630, tc_HOL_Obool), _u11632), c_Relation_OImage(_u11629, _u11630, _u11631)), _u11634))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_image__compose ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_image__compose-1, axiom, ( ( hAPP(c_Set_Oimage(_u11635, _u11636, hAPP(c_Fun_Ocomp(_u11637, _u11636, _u11635, _u11638), _u11639)), _u11640) = hAPP(c_Set_Oimage(_u11637, _u11636, _u11638), hAPP(c_Set_Oimage(_u11635, _u11637, _u11639), _u11640))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_o__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_o__def-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u11641, _u11642, _u11643, _u11644), _u11645), _u11646) = hAPP(_u11644, hAPP(_u11645, _u11646))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_o__eq__elim ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_o__eq__elim-1, axiom, ( ( hAPP(_u11651, hAPP(_u11652, _u11647)) = hAPP(_u11654, hAPP(_u11655, _u11647))) | ( hAPP(c_Fun_Ocomp(_u11648, _u11649, _u11650, _u11651), _u11652) != hAPP(c_Fun_Ocomp(_u11653, _u11649, _u11650, _u11654), _u11655)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_o__eq__dest ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_o__eq__dest-1, axiom, ( ( hAPP(_u11659, hAPP(_u11660, _u11664)) = hAPP(_u11662, hAPP(_u11663, _u11664))) | ( hAPP(c_Fun_Ocomp(_u11656, _u11657, _u11658, _u11659), _u11660) != hAPP(c_Fun_Ocomp(_u11661, _u11657, _u11658, _u11662), _u11663)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_o__apply ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_o__apply-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u11665, _u11666, _u11667, _u11668), _u11669), _u11670) = hAPP(_u11668, hAPP(_u11669, _u11670))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_o__assoc ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_o__assoc-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u11671, _u11672, _u11673, _u11674), hAPP(c_Fun_Ocomp(_u11675, _u11671, _u11673, _u11676), _u11677)) = hAPP(c_Fun_Ocomp(_u11675, _u11672, _u11673, hAPP(c_Fun_Ocomp(_u11671, _u11672, _u11675, _u11674), _u11676)), _u11677)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_apfst__compose ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_apfst__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u11678, _u11679, _u11680, _u11681), hAPP(c_Product__Type_Oapfst(_u11682, _u11678, _u11680, _u11683), _u11684)) = hAPP(c_Product__Type_Oapfst(_u11682, _u11679, _u11680, hAPP(c_Fun_Ocomp(_u11678, _u11679, _u11682, _u11681), _u11683)), _u11684)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_apsnd__compose ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_apsnd__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u11685, _u11686, _u11687, _u11688), hAPP(c_Product__Type_Oapsnd(_u11689, _u11685, _u11687, _u11690), _u11691)) = hAPP(c_Product__Type_Oapsnd(_u11689, _u11686, _u11687, hAPP(c_Fun_Ocomp(_u11685, _u11686, _u11689, _u11688), _u11690)), _u11691)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_comp__cong ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_comp__cong-1, axiom, ( ( hAPP(_u11692, hAPP(_u11693, _u11694)) != hAPP(_u11695, hAPP(_u11696, _u11697))) | ( hAPP(hAPP(c_Fun_Ocomp(_u11698, _u11699, _u11700, _u11692), _u11693), _u11694) = hAPP(hAPP(c_Fun_Ocomp(_u11701, _u11699, _u11702, _u11695), _u11696), _u11697)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_K__record__comp ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_K__record__comp-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u11703, _u11704, _u11705, hAPP(c_COMBK(_u11704, _u11703), _u11706)), _u11707), _u11708) = _u11706) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_o__eq__dest__lhs ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_o__eq__dest__lhs-1, axiom, ( ( hAPP(_u11712, hAPP(_u11713, _u11715)) = hAPP(_u11714, _u11715)) | ( hAPP(c_Fun_Ocomp(_u11709, _u11710, _u11711, _u11712), _u11713) != _u11714) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_fun__upd__comp ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_fun__upd__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u11716, _u11717, _u11718, _u11719), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11718, _u11716), _u11720), _u11721), _u11722)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11718, _u11717), hAPP(c_Fun_Ocomp(_u11716, _u11717, _u11718, _u11719), _u11720)), _u11721), hAPP(_u11719, _u11722))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_comp__surj ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_comp__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u11723, _u11724, _u11725), c_Orderings_Otop__class_Otop(tc_fun(_u11723, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11724, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11724, _u11726, _u11727), c_Orderings_Otop__class_Otop(tc_fun(_u11724, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11726, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11723, _u11726, hAPP(c_Fun_Ocomp(_u11724, _u11726, _u11723, _u11727), _u11725)), c_Orderings_Otop__class_Otop(tc_fun(_u11723, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11726, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Image__mono ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11728, _u11729), tc_HOL_Obool)), _u11730), _u11731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11728, tc_HOL_Obool)), _u11732), _u11733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11729, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11728, _u11729, _u11730), _u11732)), hAPP(c_Relation_OImage(_u11728, _u11729, _u11731), _u11733))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Un__Image ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Un__Image-1, axiom, ( ( hAPP(c_Relation_OImage(_u11734, _u11735, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11734, _u11735), tc_HOL_Obool)), _u11736), _u11737)), _u11738) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11735, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11734, _u11735, _u11736), _u11738)), hAPP(c_Relation_OImage(_u11734, _u11735, _u11737), _u11738))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_rev__ImageI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_rev__ImageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11739), _u11740), _u11741)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11739, _u11742)), hAPP(hAPP(c_Product__Type_OPair(_u11739, _u11742), _u11740), _u11743)), _u11744)) | hBOOL(hAPP(hAPP(c_member(_u11742), _u11743), hAPP(c_Relation_OImage(_u11739, _u11742, _u11744), _u11741))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Image__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11752), _u11754), hAPP(c_Relation_OImage(_u11756, _u11752, _u11758), _u11760))) | hBOOL(hAPP(hAPP(c_member(_u11756), skolem247(_u11760, _u11758, _u11756, _u11754, _u11752)), _u11760)) )).
% 27.68/27.89 cnf(fact_Image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11752), _u11754), hAPP(c_Relation_OImage(_u11756, _u11752, _u11758), _u11760))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11756, _u11752)), hAPP(hAPP(c_Product__Type_OPair(_u11756, _u11752), skolem247(_u11760, _u11758, _u11756, _u11754, _u11752)), _u11754)), _u11758)) )).
% 27.68/27.89 cnf(fact_Image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11757), _u11746), _u11761)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11757, _u11753)), hAPP(hAPP(c_Product__Type_OPair(_u11757, _u11753), _u11746), _u11755)), _u11759)) | hBOOL(hAPP(hAPP(c_member(_u11753), _u11755), hAPP(c_Relation_OImage(_u11757, _u11753, _u11759), _u11761))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Image__eq__UN ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Image__eq__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u11762, _u11763, _u11764), _u11765) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11762, tc_fun(_u11763, tc_HOL_Obool)), _u11765), hAPP(hAPP(c_COMBB(tc_fun(_u11762, tc_HOL_Obool), tc_fun(_u11763, tc_HOL_Obool), _u11762), c_Relation_OImage(_u11762, _u11763, _u11764)), hAPP(hAPP(c_COMBC(_u11762, tc_fun(_u11762, tc_HOL_Obool), tc_fun(_u11762, tc_HOL_Obool)), c_Set_Oinsert(_u11762)), c_Orderings_Obot__class_Obot(tc_fun(_u11762, tc_HOL_Obool)))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Image__singleton__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Image__singleton__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11771), _u11773), hAPP(c_Relation_OImage(_u11775, _u11771, _u11777), hAPP(hAPP(c_Set_Oinsert(_u11775), _u11779), c_Orderings_Obot__class_Obot(tc_fun(_u11775, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11775, _u11771)), hAPP(hAPP(c_Product__Type_OPair(_u11775, _u11771), _u11779), _u11773)), _u11777)) )).
% 27.68/27.89 cnf(fact_Image__singleton__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11776, _u11772)), hAPP(hAPP(c_Product__Type_OPair(_u11776, _u11772), _u11780), _u11774)), _u11778)) | hBOOL(hAPP(hAPP(c_member(_u11772), _u11774), hAPP(c_Relation_OImage(_u11776, _u11772, _u11778), hAPP(hAPP(c_Set_Oinsert(_u11776), _u11780), c_Orderings_Obot__class_Obot(tc_fun(_u11776, tc_HOL_Obool)))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_of__int ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_of__int-1, axiom, ( ~class_Rings_Oring__1(_u11781) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11781), 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), _u11782), _u11783)), 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(_u11781), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11781), _u11782)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11781), _u11783))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_One__int__def ( axiom ) converted to clauses:
% 27.68/27.89 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)))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_mult ( axiom ) converted to clauses:
% 27.68/27.89 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), _u11784), _u11785)), 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), _u11786), _u11787)), 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), _u11784), _u11786)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11785), _u11787))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11784), _u11787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11785), _u11786)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__o ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__o-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11788, tc_fun(_u11789, tc_HOL_Obool)), _u11790), hAPP(c_Fun_Ocomp(_u11791, tc_fun(_u11789, tc_HOL_Obool), _u11788, _u11792), _u11793)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11791, tc_fun(_u11789, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11788, _u11791, _u11793), _u11790)), _u11792)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Rep__Integ__inverse ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Rep__Integ__inverse-1, axiom, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u11794)) = _u11794) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_split__comp ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_split__comp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11795, _u11796, _u11797), hAPP(c_Fun_Ocomp(_u11798, tc_fun(_u11796, _u11797), _u11795, _u11799), _u11800)), _u11801) = hAPP(hAPP(_u11799, hAPP(_u11800, hAPP(c_Product__Type_Ofst(_u11795, _u11796), _u11801))), hAPP(c_Product__Type_Osnd(_u11795, _u11796), _u11801))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_number__of__code__numeral__def ( axiom ) converted to clauses:
% 27.68/27.89 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)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_int__of__def ( axiom ) converted to clauses:
% 27.68/27.89 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)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_minus ( axiom ) converted to clauses:
% 27.68/27.89 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), _u11802), _u11803)), 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), _u11803), _u11802)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Zero__int__def ( axiom ) converted to clauses:
% 27.68/27.89 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)))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_int__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_int__def-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11804) = 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), _u11804), 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)))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_add ( axiom ) converted to clauses:
% 27.68/27.89 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), _u11805), _u11806)), 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), _u11807), _u11808)), 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), _u11805), _u11807)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11806), _u11808))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_nat ( axiom ) converted to clauses:
% 27.68/27.89 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), _u11809), _u11810)), 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), _u11809), _u11810)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_minus__int__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_minus__int__def-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11811) = 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, _u11811)), 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)))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_less ( axiom ) converted to clauses:
% 27.68/27.89 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), _u11816), _u11818)), 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), _u11820), _u11822)), 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), _u11816), _u11822)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11820), _u11818))) )).
% 27.68/27.89 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), _u11817), _u11823)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11821), _u11819))) | 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), _u11817), _u11819)), 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), _u11821), _u11823)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_le ( axiom ) converted to clauses:
% 27.68/27.89 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), _u11828), _u11830)), 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), _u11832), _u11834)), 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), _u11828), _u11834)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11832), _u11830))) )).
% 27.68/27.89 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), _u11829), _u11835)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11833), _u11831))) | 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), _u11829), _u11831)), 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), _u11833), _u11835)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_hoare__derivs_OIf ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_hoare__derivs_OIf-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u11836, _u11837, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11836)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11836), c_Hoare__Mirabelle_Opeek__and(_u11836, _u11838, _u11839)), _u11840), _u11841)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11836), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u11836, _u11837, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11836)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11836), c_Hoare__Mirabelle_Opeek__and(_u11836, _u11838, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u11839))), _u11842), _u11841)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11836), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u11836, _u11837, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11836)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11836), _u11838), c_Com_Ocom_OCond(_u11839, _u11840, _u11842)), _u11841)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11836), tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Loop ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Loop-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u11843, _u11844, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11843)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11843), c_Hoare__Mirabelle_Opeek__and(_u11843, _u11845, _u11846)), _u11847), _u11845)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11843), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u11843, _u11844, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11843)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11843), _u11845), c_Com_Ocom_OWhile(_u11846, _u11847)), c_Hoare__Mirabelle_Opeek__and(_u11843, _u11845, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u11846)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11843), tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Nitpick_Odenom__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Nitpick_Odenom__def-1, axiom, ( ( c_Nitpick_Odenom(_u11848) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u11848, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u11848))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_peek__and__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_peek__and__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u11854, _u11856, _u11858), _u11860), _u11862)) | hBOOL(hAPP(hAPP(_u11856, _u11860), _u11862)) )).
% 27.68/27.89 cnf(fact_peek__and__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u11854, _u11856, _u11858), _u11860), _u11862)) | hBOOL(hAPP(_u11858, _u11862)) )).
% 27.68/27.89 cnf(fact_peek__and__def-3, axiom, ( ~hBOOL(hAPP(hAPP(_u11857, _u11861), _u11863)) | ~hBOOL(hAPP(_u11859, _u11863)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u11855, _u11857, _u11859), _u11861), _u11863)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Nitpick_Onum__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Nitpick_Onum__def-1, axiom, ( ( c_Nitpick_Onum(_u11864) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u11864, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u11864))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding_Oremove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding(_u11865, _u11866, _u11867, _u11868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11865), _u11869)) | ~hBOOL(hAPP(hAPP(c_member(_u11865), _u11870), _u11869)) | ( hAPP(_u11868, _u11869) = hAPP(c_Fun_Ocomp(_u11866, _u11866, _u11866, hAPP(_u11868, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11865, tc_HOL_Obool)), _u11869), hAPP(hAPP(c_Set_Oinsert(_u11865), _u11870), c_Orderings_Obot__class_Obot(tc_fun(_u11865, tc_HOL_Obool)))))), hAPP(_u11867, _u11870))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_eq__Abs__Integ ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_eq__Abs__Integ-1, axiom, ( ( _u11873 = 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(_u11873)), skolem249(_u11873))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding_Oinsert__remove ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding(_u11874, _u11875, _u11876, _u11877) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11874), _u11878)) | ( hAPP(_u11877, hAPP(hAPP(c_Set_Oinsert(_u11874), _u11879), _u11878)) = hAPP(c_Fun_Ocomp(_u11875, _u11875, _u11875, hAPP(_u11877, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11874, tc_HOL_Obool)), _u11878), hAPP(hAPP(c_Set_Oinsert(_u11874), _u11879), c_Orderings_Obot__class_Obot(tc_fun(_u11874, tc_HOL_Obool)))))), hAPP(_u11876, _u11879))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding_Ocommute__left__comp ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding_Ocommute__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u11881, _u11881, _u11884, hAPP(_u11882, _u11885)), hAPP(c_Fun_Ocomp(_u11881, _u11881, _u11884, hAPP(_u11882, _u11886)), _u11887)) = hAPP(c_Fun_Ocomp(_u11881, _u11881, _u11884, hAPP(_u11882, _u11886)), hAPP(c_Fun_Ocomp(_u11881, _u11881, _u11884, hAPP(_u11882, _u11885)), _u11887))) | ~c_Finite__Set_Ofolding(_u11880, _u11881, _u11882, _u11883) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding_Ocommute__comp ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding_Ocommute__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u11889, _u11889, _u11889, hAPP(_u11890, _u11892)), hAPP(_u11890, _u11893)) = hAPP(c_Fun_Ocomp(_u11889, _u11889, _u11889, hAPP(_u11890, _u11893)), hAPP(_u11890, _u11892))) | ~c_Finite__Set_Ofolding(_u11888, _u11889, _u11890, _u11891) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding_Ocommute__comps_I1_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding_Ocommute__comps_I1_J-1, axiom, ( ~c_Finite__Set_Ofolding(_u11894, _u11895, _u11896, _u11897) | ( hAPP(c_Fun_Ocomp(_u11898, _u11899, _u11900, _u11901), hAPP(c_Fun_Ocomp(_u11902, _u11898, _u11900, _u11903), _u11904)) = hAPP(c_Fun_Ocomp(_u11902, _u11899, _u11900, hAPP(c_Fun_Ocomp(_u11898, _u11899, _u11902, _u11901), _u11903)), _u11904)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding_Ocommute__comp_H ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding_Ocommute__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u11905, _u11906, _u11907, _u11908) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11905), _u11909)) | ( hAPP(c_Fun_Ocomp(_u11906, _u11906, _u11906, hAPP(_u11907, _u11910)), hAPP(_u11908, _u11909)) = hAPP(c_Fun_Ocomp(_u11906, _u11906, _u11906, hAPP(_u11908, _u11909)), hAPP(_u11907, _u11910))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding_Ocommute__left__comp_H ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding_Ocommute__left__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u11911, _u11912, _u11913, _u11914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11911), _u11915)) | ( hAPP(c_Fun_Ocomp(_u11912, _u11912, _u11916, hAPP(_u11913, _u11917)), hAPP(c_Fun_Ocomp(_u11912, _u11912, _u11916, hAPP(_u11914, _u11915)), _u11918)) = hAPP(c_Fun_Ocomp(_u11912, _u11912, _u11916, hAPP(_u11914, _u11915)), hAPP(c_Fun_Ocomp(_u11912, _u11912, _u11916, hAPP(_u11913, _u11917)), _u11918))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding_Ocommute__comp_H_H ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding_Ocommute__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u11919, _u11920, _u11921, _u11922) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11919), _u11923)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11919), _u11924)) | ( hAPP(c_Fun_Ocomp(_u11920, _u11920, _u11920, hAPP(_u11922, _u11924)), hAPP(_u11922, _u11923)) = hAPP(c_Fun_Ocomp(_u11920, _u11920, _u11920, hAPP(_u11922, _u11923)), hAPP(_u11922, _u11924))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding_Ocommute__left__comp_H_H ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding_Ocommute__left__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u11925, _u11926, _u11927, _u11928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11925), _u11929)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11925), _u11930)) | ( hAPP(c_Fun_Ocomp(_u11926, _u11926, _u11931, hAPP(_u11928, _u11930)), hAPP(c_Fun_Ocomp(_u11926, _u11926, _u11931, hAPP(_u11928, _u11929)), _u11932)) = hAPP(c_Fun_Ocomp(_u11926, _u11926, _u11931, hAPP(_u11928, _u11929)), hAPP(c_Fun_Ocomp(_u11926, _u11926, _u11931, hAPP(_u11928, _u11930)), _u11932))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding_Oinsert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding(_u11933, _u11934, _u11935, _u11936) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11933), _u11937)) | hBOOL(hAPP(hAPP(c_member(_u11933), _u11938), _u11937)) | ( hAPP(_u11936, hAPP(hAPP(c_Set_Oinsert(_u11933), _u11938), _u11937)) = hAPP(c_Fun_Ocomp(_u11934, _u11934, _u11934, hAPP(_u11936, _u11937)), hAPP(_u11935, _u11938))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__reindex__nonzero ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__reindex__nonzero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11942), _u11943)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11946, _u11941), _u11945), hAPP(c_Set_Oimage(_u11942, _u11946, _u11944), _u11943)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11942, _u11941), hAPP(c_Fun_Ocomp(_u11946, _u11941, _u11942, _u11945), _u11944)), _u11943)) | hBOOL(hAPP(hAPP(c_member(_u11942), skolem250(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941)), _u11943)) )).
% 27.68/27.89 cnf(fact_setsum__reindex__nonzero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11942), _u11943)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11946, _u11941), _u11945), hAPP(c_Set_Oimage(_u11942, _u11946, _u11944), _u11943)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11942, _u11941), hAPP(c_Fun_Ocomp(_u11946, _u11941, _u11942, _u11945), _u11944)), _u11943)) | hBOOL(hAPP(hAPP(c_member(_u11942), skolem251(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941)), _u11943)) )).
% 27.68/27.89 cnf(fact_setsum__reindex__nonzero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11942), _u11943)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11946, _u11941), _u11945), hAPP(c_Set_Oimage(_u11942, _u11946, _u11944), _u11943)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11942, _u11941), hAPP(c_Fun_Ocomp(_u11946, _u11941, _u11942, _u11945), _u11944)), _u11943)) | ( skolem250(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941) != skolem251(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941)) )).
% 27.68/27.89 cnf(fact_setsum__reindex__nonzero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11942), _u11943)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11946, _u11941), _u11945), hAPP(c_Set_Oimage(_u11942, _u11946, _u11944), _u11943)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11942, _u11941), hAPP(c_Fun_Ocomp(_u11946, _u11941, _u11942, _u11945), _u11944)), _u11943)) | ( hAPP(_u11944, skolem250(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941)) = hAPP(_u11944, skolem251(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941))) )).
% 27.68/27.89 cnf(fact_setsum__reindex__nonzero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11942), _u11943)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11946, _u11941), _u11945), hAPP(c_Set_Oimage(_u11942, _u11946, _u11944), _u11943)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11942, _u11941), hAPP(c_Fun_Ocomp(_u11946, _u11941, _u11942, _u11945), _u11944)), _u11943)) | ( hAPP(_u11945, hAPP(_u11944, skolem250(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941))) != c_Groups_Ozero__class_Ozero(_u11941)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Random__Sequence_Omap__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Random__Sequence_Omap__def-1, axiom, ( ( c_Random__Sequence_Omap(_u11947, _u11948, _u11949, _u11950) = c_Random__Sequence_Obind(_u11947, _u11948, _u11950, hAPP(c_Fun_Ocomp(_u11948, 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(_u11948)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u11947, c_Random__Sequence_Osingle(_u11948)), _u11949))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_quotient__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_quotient__def-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11951), _u11952), _u11953) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11951, tc_fun(tc_fun(_u11951, tc_HOL_Obool), tc_HOL_Obool)), _u11952), hAPP(hAPP(c_COMBC(_u11951, tc_fun(tc_fun(_u11951, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11951, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11951, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u11951, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11951, tc_HOL_Obool), tc_HOL_Obool)), _u11951), c_Set_Oinsert(tc_fun(_u11951, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11951, tc_HOL_Obool), tc_fun(_u11951, tc_HOL_Obool), _u11951), c_Relation_OImage(_u11951, _u11951, _u11953)), hAPP(hAPP(c_COMBC(_u11951, tc_fun(_u11951, tc_HOL_Obool), tc_fun(_u11951, tc_HOL_Obool)), c_Set_Oinsert(_u11951)), c_Orderings_Obot__class_Obot(tc_fun(_u11951, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11951, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_quotient__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_quotient__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11954), c_Orderings_Obot__class_Obot(tc_fun(_u11954, tc_HOL_Obool))), _u11955) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11954, tc_HOL_Obool), tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_quotient__is__empty2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_quotient__is__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11959, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11959), _u11961), _u11963)) | ( _u11961 = c_Orderings_Obot__class_Obot(tc_fun(_u11959, tc_HOL_Obool))) )).
% 27.68/27.89 cnf(fact_quotient__is__empty2-2, axiom, ( ( _u11962 != c_Orderings_Obot__class_Obot(tc_fun(_u11960, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11960, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11960), _u11962), _u11964)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_quotient__is__empty ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_quotient__is__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11968), _u11970), _u11972) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11968, tc_HOL_Obool), tc_HOL_Obool))) | ( _u11970 = c_Orderings_Obot__class_Obot(tc_fun(_u11968, tc_HOL_Obool))) )).
% 27.68/27.89 cnf(fact_quotient__is__empty-2, axiom, ( ( _u11971 != c_Orderings_Obot__class_Obot(tc_fun(_u11969, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11969), _u11971), _u11973) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11969, tc_HOL_Obool), tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_quotientI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_quotientI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11974), _u11975), _u11976)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11974, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11974, _u11974, _u11977), hAPP(hAPP(c_Set_Oinsert(_u11974), _u11975), c_Orderings_Obot__class_Obot(tc_fun(_u11974, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11974), _u11976), _u11977))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_singleton__quotient ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_singleton__quotient-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11978), hAPP(hAPP(c_Set_Oinsert(_u11978), _u11979), c_Orderings_Obot__class_Obot(tc_fun(_u11978, tc_HOL_Obool)))), _u11980) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11978, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11978, _u11978, _u11980), hAPP(hAPP(c_Set_Oinsert(_u11978), _u11979), c_Orderings_Obot__class_Obot(tc_fun(_u11978, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11978, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_subset__equiv__class ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_subset__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11981, _u11982, _u11983) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11981, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11981, _u11981, _u11983), hAPP(hAPP(c_Set_Oinsert(_u11981), _u11984), c_Orderings_Obot__class_Obot(tc_fun(_u11981, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11981, _u11981, _u11983), hAPP(hAPP(c_Set_Oinsert(_u11981), _u11985), c_Orderings_Obot__class_Obot(tc_fun(_u11981, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u11981), _u11984), _u11982)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11981, _u11981)), hAPP(hAPP(c_Product__Type_OPair(_u11981, _u11981), _u11985), _u11984)), _u11983)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_quotientE ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_quotientE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11987, tc_HOL_Obool)), _u11988), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11987), _u11989), _u11990))) | ( _u11988 = hAPP(c_Relation_OImage(_u11987, _u11987, _u11990), hAPP(hAPP(c_Set_Oinsert(_u11987), skolem252(_u11990, _u11989, _u11988, _u11987)), c_Orderings_Obot__class_Obot(tc_fun(_u11987, tc_HOL_Obool))))) )).
% 27.68/27.89 cnf(fact_quotientE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11987, tc_HOL_Obool)), _u11988), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11987), _u11989), _u11990))) | hBOOL(hAPP(hAPP(c_member(_u11987), skolem252(_u11990, _u11989, _u11988, _u11987)), _u11989)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_eq__equiv__class__iff2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_eq__equiv__class__iff2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11991, _u11992, _u11993) | ~hBOOL(hAPP(hAPP(c_member(_u11991), _u11994), _u11992)) | ~hBOOL(hAPP(hAPP(c_member(_u11991), _u11995), _u11992)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11991), hAPP(hAPP(c_Set_Oinsert(_u11991), _u11994), c_Orderings_Obot__class_Obot(tc_fun(_u11991, tc_HOL_Obool)))), _u11993) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11991), hAPP(hAPP(c_Set_Oinsert(_u11991), _u11995), c_Orderings_Obot__class_Obot(tc_fun(_u11991, tc_HOL_Obool)))), _u11993)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11991, _u11991)), hAPP(hAPP(c_Product__Type_OPair(_u11991, _u11991), _u11994), _u11995)), _u11993)) )).
% 27.68/27.89 cnf(fact_eq__equiv__class__iff2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11991, _u11992, _u11993) | ~hBOOL(hAPP(hAPP(c_member(_u11991), _u11994), _u11992)) | ~hBOOL(hAPP(hAPP(c_member(_u11991), _u11995), _u11992)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11991, _u11991)), hAPP(hAPP(c_Product__Type_OPair(_u11991, _u11991), _u11994), _u11995)), _u11993)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11991), hAPP(hAPP(c_Set_Oinsert(_u11991), _u11994), c_Orderings_Obot__class_Obot(tc_fun(_u11991, tc_HOL_Obool)))), _u11993) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11991), hAPP(hAPP(c_Set_Oinsert(_u11991), _u11995), c_Orderings_Obot__class_Obot(tc_fun(_u11991, tc_HOL_Obool)))), _u11993)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_equiv__intrel ( axiom ) converted to clauses:
% 27.68/27.89 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) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_equiv__class__self ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_equiv__class__self-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11996, _u11997, _u11998) | ~hBOOL(hAPP(hAPP(c_member(_u11996), _u11999), _u11997)) | hBOOL(hAPP(hAPP(c_member(_u11996), _u11999), hAPP(c_Relation_OImage(_u11996, _u11996, _u11998), hAPP(hAPP(c_Set_Oinsert(_u11996), _u11999), c_Orderings_Obot__class_Obot(tc_fun(_u11996, tc_HOL_Obool)))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_equiv__class__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_equiv__class__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12000, _u12001, _u12002) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12000, _u12000)), hAPP(hAPP(c_Product__Type_OPair(_u12000, _u12000), _u12003), _u12004)), _u12002)) | ( hAPP(c_Relation_OImage(_u12000, _u12000, _u12002), hAPP(hAPP(c_Set_Oinsert(_u12000), _u12003), c_Orderings_Obot__class_Obot(tc_fun(_u12000, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u12000, _u12000, _u12002), hAPP(hAPP(c_Set_Oinsert(_u12000), _u12004), c_Orderings_Obot__class_Obot(tc_fun(_u12000, tc_HOL_Obool))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_quotient__eq__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_quotient__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12005, _u12006, _u12007) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12005, tc_HOL_Obool)), _u12008), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12005), _u12006), _u12007))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12005, tc_HOL_Obool)), _u12009), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12005), _u12006), _u12007))) | ~hBOOL(hAPP(hAPP(c_member(_u12005), _u12010), _u12008)) | ~hBOOL(hAPP(hAPP(c_member(_u12005), _u12011), _u12009)) | ( _u12008 != _u12009) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12005, _u12005)), hAPP(hAPP(c_Product__Type_OPair(_u12005, _u12005), _u12010), _u12011)), _u12007)) )).
% 27.68/27.89 cnf(fact_quotient__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12005, _u12006, _u12007) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12005, tc_HOL_Obool)), _u12008), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12005), _u12006), _u12007))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12005, tc_HOL_Obool)), _u12009), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12005), _u12006), _u12007))) | ~hBOOL(hAPP(hAPP(c_member(_u12005), _u12010), _u12008)) | ~hBOOL(hAPP(hAPP(c_member(_u12005), _u12011), _u12009)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12005, _u12005)), hAPP(hAPP(c_Product__Type_OPair(_u12005, _u12005), _u12010), _u12011)), _u12007)) | ( _u12008 = _u12009) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_quotient__eqI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_quotient__eqI-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12012, _u12013, _u12014) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12012, tc_HOL_Obool)), _u12015), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12012), _u12013), _u12014))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12012, tc_HOL_Obool)), _u12016), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12012), _u12013), _u12014))) | ~hBOOL(hAPP(hAPP(c_member(_u12012), _u12017), _u12015)) | ~hBOOL(hAPP(hAPP(c_member(_u12012), _u12018), _u12016)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12012, _u12012)), hAPP(hAPP(c_Product__Type_OPair(_u12012, _u12012), _u12017), _u12018)), _u12014)) | ( _u12015 = _u12016) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_eq__equiv__class ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_eq__equiv__class-1, axiom, ( ( hAPP(c_Relation_OImage(_u12019, _u12019, _u12020), hAPP(hAPP(c_Set_Oinsert(_u12019), _u12021), c_Orderings_Obot__class_Obot(tc_fun(_u12019, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u12019, _u12019, _u12020), hAPP(hAPP(c_Set_Oinsert(_u12019), _u12022), c_Orderings_Obot__class_Obot(tc_fun(_u12019, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u12019, _u12023, _u12020) | ~hBOOL(hAPP(hAPP(c_member(_u12019), _u12022), _u12023)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12019, _u12019)), hAPP(hAPP(c_Product__Type_OPair(_u12019, _u12019), _u12021), _u12022)), _u12020)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_eq__equiv__class__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_eq__equiv__class__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12024, _u12025, _u12026) | ~hBOOL(hAPP(hAPP(c_member(_u12024), _u12027), _u12025)) | ~hBOOL(hAPP(hAPP(c_member(_u12024), _u12028), _u12025)) | ( hAPP(c_Relation_OImage(_u12024, _u12024, _u12026), hAPP(hAPP(c_Set_Oinsert(_u12024), _u12027), c_Orderings_Obot__class_Obot(tc_fun(_u12024, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u12024, _u12024, _u12026), hAPP(hAPP(c_Set_Oinsert(_u12024), _u12028), c_Orderings_Obot__class_Obot(tc_fun(_u12024, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12024, _u12024)), hAPP(hAPP(c_Product__Type_OPair(_u12024, _u12024), _u12027), _u12028)), _u12026)) )).
% 27.68/27.89 cnf(fact_eq__equiv__class__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12024, _u12025, _u12026) | ~hBOOL(hAPP(hAPP(c_member(_u12024), _u12027), _u12025)) | ~hBOOL(hAPP(hAPP(c_member(_u12024), _u12028), _u12025)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12024, _u12024)), hAPP(hAPP(c_Product__Type_OPair(_u12024, _u12024), _u12027), _u12028)), _u12026)) | ( hAPP(c_Relation_OImage(_u12024, _u12024, _u12026), hAPP(hAPP(c_Set_Oinsert(_u12024), _u12027), c_Orderings_Obot__class_Obot(tc_fun(_u12024, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u12024, _u12024, _u12026), hAPP(hAPP(c_Set_Oinsert(_u12024), _u12028), c_Orderings_Obot__class_Obot(tc_fun(_u12024, tc_HOL_Obool))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_equiv__class__eq__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_equiv__class__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12029, _u12030, _u12031) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12029, _u12029)), hAPP(hAPP(c_Product__Type_OPair(_u12029, _u12029), _u12032), _u12033)), _u12031)) | ( hAPP(c_Relation_OImage(_u12029, _u12029, _u12031), hAPP(hAPP(c_Set_Oinsert(_u12029), _u12032), c_Orderings_Obot__class_Obot(tc_fun(_u12029, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u12029, _u12029, _u12031), hAPP(hAPP(c_Set_Oinsert(_u12029), _u12033), c_Orderings_Obot__class_Obot(tc_fun(_u12029, tc_HOL_Obool))))) )).
% 27.68/27.89 cnf(fact_equiv__class__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12029, _u12030, _u12031) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12029, _u12029)), hAPP(hAPP(c_Product__Type_OPair(_u12029, _u12029), _u12032), _u12033)), _u12031)) | hBOOL(hAPP(hAPP(c_member(_u12029), _u12032), _u12030)) )).
% 27.68/27.89 cnf(fact_equiv__class__eq__iff-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u12029, _u12030, _u12031) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12029, _u12029)), hAPP(hAPP(c_Product__Type_OPair(_u12029, _u12029), _u12032), _u12033)), _u12031)) | hBOOL(hAPP(hAPP(c_member(_u12029), _u12033), _u12030)) )).
% 27.68/27.89 cnf(fact_equiv__class__eq__iff-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u12029, _u12030, _u12031) | ( hAPP(c_Relation_OImage(_u12029, _u12029, _u12031), hAPP(hAPP(c_Set_Oinsert(_u12029), _u12032), c_Orderings_Obot__class_Obot(tc_fun(_u12029, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u12029, _u12029, _u12031), hAPP(hAPP(c_Set_Oinsert(_u12029), _u12033), c_Orderings_Obot__class_Obot(tc_fun(_u12029, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u12029), _u12032), _u12030)) | ~hBOOL(hAPP(hAPP(c_member(_u12029), _u12033), _u12030)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12029, _u12029)), hAPP(hAPP(c_Product__Type_OPair(_u12029, _u12029), _u12032), _u12033)), _u12031)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_equiv__class__subset ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_equiv__class__subset-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12034, _u12035, _u12036) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12034, _u12034)), hAPP(hAPP(c_Product__Type_OPair(_u12034, _u12034), _u12037), _u12038)), _u12036)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12034, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12034, _u12034, _u12036), hAPP(hAPP(c_Set_Oinsert(_u12034), _u12037), c_Orderings_Obot__class_Obot(tc_fun(_u12034, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u12034, _u12034, _u12036), hAPP(hAPP(c_Set_Oinsert(_u12034), _u12038), c_Orderings_Obot__class_Obot(tc_fun(_u12034, tc_HOL_Obool)))))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__equiv__class ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12039, _u12040, _u12041) | ~c_Equiv__Relations_Ocongruent(_u12039, tc_fun(_u12042, tc_HOL_Obool), _u12041, _u12043) | ~hBOOL(hAPP(hAPP(c_member(_u12039), _u12044), _u12040)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12039, tc_fun(_u12042, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12039, _u12039, _u12041), hAPP(hAPP(c_Set_Oinsert(_u12039), _u12044), c_Orderings_Obot__class_Obot(tc_fun(_u12039, tc_HOL_Obool))))), _u12043) = hAPP(_u12043, _u12044)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__equiv__class2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__equiv__class2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12045, _u12046, _u12047) | ~c_Equiv__Relations_Oequiv(_u12048, _u12049, _u12050) | ~c_Equiv__Relations_Ocongruent2(_u12045, _u12048, tc_fun(_u12051, tc_HOL_Obool), _u12047, _u12050, _u12052) | ~hBOOL(hAPP(hAPP(c_member(_u12045), _u12053), _u12046)) | ~hBOOL(hAPP(hAPP(c_member(_u12048), _u12054), _u12049)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12045, tc_fun(_u12051, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12045, _u12045, _u12047), hAPP(hAPP(c_Set_Oinsert(_u12045), _u12053), c_Orderings_Obot__class_Obot(tc_fun(_u12045, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u12048, tc_fun(_u12051, tc_HOL_Obool)), tc_fun(_u12051, tc_HOL_Obool), _u12045), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12048, tc_fun(_u12051, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12048, _u12048, _u12050), hAPP(hAPP(c_Set_Oinsert(_u12048), _u12054), c_Orderings_Obot__class_Obot(tc_fun(_u12048, tc_HOL_Obool)))))), _u12052)) = hAPP(hAPP(_u12052, _u12053), _u12054)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_equiv__class__nondisjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_equiv__class__nondisjoint-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12055, _u12056, _u12057) | ~hBOOL(hAPP(hAPP(c_member(_u12055), _u12058), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12055, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12055, _u12055, _u12057), hAPP(hAPP(c_Set_Oinsert(_u12055), _u12059), c_Orderings_Obot__class_Obot(tc_fun(_u12055, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u12055, _u12055, _u12057), hAPP(hAPP(c_Set_Oinsert(_u12055), _u12060), c_Orderings_Obot__class_Obot(tc_fun(_u12055, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12055, _u12055)), hAPP(hAPP(c_Product__Type_OPair(_u12055, _u12055), _u12059), _u12060)), _u12057)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12061, tc_HOL_Obool)), _u12062), _u12063), _u12064)) | hBOOL(hAPP(_u12062, _u12064)) )).
% 27.68/27.89 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12061, tc_HOL_Obool)), _u12062), _u12063), _u12064)) | hBOOL(hAPP(_u12063, _u12064)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u12065, _u12066)) | ~hBOOL(hAPP(_u12067, _u12066)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12068, tc_HOL_Obool)), _u12065), _u12067), _u12066)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_IntE ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12069), _u12070), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12069, tc_HOL_Obool)), _u12071), _u12072))) | hBOOL(hAPP(hAPP(c_member(_u12069), _u12070), _u12071)) )).
% 27.68/27.89 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12069), _u12070), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12069, tc_HOL_Obool)), _u12071), _u12072))) | hBOOL(hAPP(hAPP(c_member(_u12069), _u12070), _u12072)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_IntI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12073), _u12074), _u12075)) | ~hBOOL(hAPP(hAPP(c_member(_u12073), _u12074), _u12076)) | hBOOL(hAPP(hAPP(c_member(_u12073), _u12074), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12073, tc_HOL_Obool)), _u12075), _u12076))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_finite__Int ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_finite__Int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12077), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12077, tc_HOL_Obool)), _u12078), _u12079))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12077), _u12078)) )).
% 27.68/27.89 cnf(fact_finite__Int-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12077), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12077, tc_HOL_Obool)), _u12078), _u12079))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12077), _u12079)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u12080) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12080), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12080), _u12081), _u12082)), _u12081)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12083) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12083), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12083), _u12084), _u12085)), _u12084)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u12086) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12086), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12086), _u12087), _u12088)), _u12088)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12089) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12089), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12089), _u12090), _u12091)), _u12091)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12092) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12092), _u12093), _u12094)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12092), _u12093), _u12094) = _u12093) )).
% 27.68/27.89 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u12092) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12092), _u12093), _u12094) != _u12093) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12092), _u12093), _u12094)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12095) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12095), _u12097), _u12098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), _u12097)) )).
% 27.68/27.89 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u12095) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12095), _u12097), _u12098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), _u12098)) )).
% 27.68/27.89 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u12095) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), _u12097)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), _u12098)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12095), _u12097), _u12098))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12099), _u12100), _u12101)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12099), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12099), _u12100), _u12102)), _u12101)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12103), _u12104), _u12105)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12103), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12103), _u12106), _u12104)), _u12105)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12107), _u12108), _u12109)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12107), _u12108), _u12109) = _u12108) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12110), _u12111), _u12112)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12110), _u12112), _u12111) = _u12111) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12113) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12113), _u12114), _u12115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12113), _u12114), _u12116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12113), _u12114), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12113), _u12115), _u12116))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12117), _u12118), _u12119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12117), _u12118), _u12120)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12117), _u12118), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12117), _u12119), _u12120))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12121), _u12122), _u12123)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12121), _u12124), _u12125)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12121), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12121), _u12122), _u12124)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12121), _u12123), _u12125))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12126), _u12127), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12126), _u12128), _u12129))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12126), _u12127), _u12128)) )).
% 27.68/27.89 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u12126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12126), _u12127), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12126), _u12128), _u12129))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12126), _u12127), _u12129)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12130, tc_HOL_Obool)), _u12131), _u12132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12130, tc_HOL_Obool)), _u12133), _u12134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12130, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12130, tc_HOL_Obool)), _u12131), _u12133)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12130, tc_HOL_Obool)), _u12132), _u12134))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__greatest-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12135, tc_HOL_Obool)), _u12136), _u12137)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12135, tc_HOL_Obool)), _u12136), _u12138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12135, tc_HOL_Obool)), _u12136), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12135, tc_HOL_Obool)), _u12137), _u12138))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12139, tc_HOL_Obool)), _u12140), _u12141)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12139, tc_HOL_Obool)), _u12141), _u12140) = _u12140) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12142, tc_HOL_Obool)), _u12143), _u12144)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12142, tc_HOL_Obool)), _u12143), _u12144) = _u12143) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__lower2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12145, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12145, tc_HOL_Obool)), _u12146), _u12147)), _u12147)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__lower1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12148, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12148, tc_HOL_Obool)), _u12149), _u12150)), _u12149)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__top__left ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u12151) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12151), c_Orderings_Otop__class_Otop(_u12151)), _u12152) = _u12152) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__top__right ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u12153) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12153), _u12154), c_Orderings_Otop__class_Otop(_u12153)) = _u12154) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__eq__top__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__eq__top__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u12155) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12155), _u12156), _u12157) != c_Orderings_Otop__class_Otop(_u12155)) | ( _u12156 = c_Orderings_Otop__class_Otop(_u12155)) )).
% 27.68/27.89 cnf(fact_inf__eq__top__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__top(_u12155) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12155), _u12156), _u12157) != c_Orderings_Otop__class_Otop(_u12155)) | ( _u12157 = c_Orderings_Otop__class_Otop(_u12155)) )).
% 27.68/27.89 cnf(fact_inf__eq__top__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__top(_u12155) | ( _u12156 != c_Orderings_Otop__class_Otop(_u12155)) | ( _u12157 != c_Orderings_Otop__class_Otop(_u12155)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12155), _u12156), _u12157) = c_Orderings_Otop__class_Otop(_u12155)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__UNIV__left ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12158, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12158, tc_HOL_Obool))), _u12159) = _u12159) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__UNIV__right ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12160, tc_HOL_Obool)), _u12161), c_Orderings_Otop__class_Otop(tc_fun(_u12160, tc_HOL_Obool))) = _u12161) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12166, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12166, tc_fun(_u12166, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12166)), _u12168)), hAPP(hAPP(c_COMBC(_u12166, tc_fun(_u12166, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12166)), _u12170)), _u12172)) | hBOOL(hAPP(hAPP(c_member(_u12166), _u12172), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12166, tc_HOL_Obool)), _u12168), _u12170))) )).
% 27.68/27.89 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12167), _u12173), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12167, tc_HOL_Obool)), _u12169), _u12171))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12167, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12167, tc_fun(_u12167, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12167)), _u12169)), hAPP(hAPP(c_COMBC(_u12167, tc_fun(_u12167, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12167)), _u12171)), _u12173)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12174), _u12175), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12174, tc_HOL_Obool)), _u12176), _u12177))) | hBOOL(hAPP(hAPP(c_member(_u12174), _u12175), _u12177)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12178), _u12179), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12178, tc_HOL_Obool)), _u12180), _u12181))) | hBOOL(hAPP(hAPP(c_member(_u12178), _u12179), _u12180)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12186), _u12188), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12186, tc_HOL_Obool)), _u12190), _u12192))) | hBOOL(hAPP(hAPP(c_member(_u12186), _u12188), _u12190)) )).
% 27.68/27.89 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12186), _u12188), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12186, tc_HOL_Obool)), _u12190), _u12192))) | hBOOL(hAPP(hAPP(c_member(_u12186), _u12188), _u12192)) )).
% 27.68/27.89 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12187), _u12189), _u12191)) | ~hBOOL(hAPP(hAPP(c_member(_u12187), _u12189), _u12193)) | hBOOL(hAPP(hAPP(c_member(_u12187), _u12189), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12187, tc_HOL_Obool)), _u12191), _u12193))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Un__Int__crazy ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Un__Int__crazy-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12194, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12194, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12194, tc_HOL_Obool)), _u12195), _u12196)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12194, tc_HOL_Obool)), _u12196), _u12197))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12194, tc_HOL_Obool)), _u12197), _u12195)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12194, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12194, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12194, tc_HOL_Obool)), _u12195), _u12196)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12194, tc_HOL_Obool)), _u12196), _u12197))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12194, tc_HOL_Obool)), _u12197), _u12195))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Un__Int__distrib2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Un__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12198, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12198, tc_HOL_Obool)), _u12199), _u12200)), _u12201) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12198, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12198, tc_HOL_Obool)), _u12199), _u12201)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12198, tc_HOL_Obool)), _u12200), _u12201))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__Un__distrib2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12202, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12202, tc_HOL_Obool)), _u12203), _u12204)), _u12205) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12202, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12202, tc_HOL_Obool)), _u12203), _u12205)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12202, tc_HOL_Obool)), _u12204), _u12205))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Un__Int__distrib ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Un__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12206, tc_HOL_Obool)), _u12207), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12206, tc_HOL_Obool)), _u12208), _u12209)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12206, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12206, tc_HOL_Obool)), _u12207), _u12208)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12206, tc_HOL_Obool)), _u12207), _u12209))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__Un__distrib ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12210, tc_HOL_Obool)), _u12211), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12210, tc_HOL_Obool)), _u12212), _u12213)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12210, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12210, tc_HOL_Obool)), _u12211), _u12212)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12210, tc_HOL_Obool)), _u12211), _u12213))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_sup__inf__distrib2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_sup__inf__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u12214) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12214), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12214), _u12215), _u12216)), _u12217) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12214), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12214), _u12215), _u12217)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12214), _u12216), _u12217))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__sup__distrib2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__sup__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u12218) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12218), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12218), _u12219), _u12220)), _u12221) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12218), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12218), _u12219), _u12221)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12218), _u12220), _u12221))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_sup__inf__distrib1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_sup__inf__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u12222) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12222), _u12223), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12222), _u12224), _u12225)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12222), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12222), _u12223), _u12224)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12222), _u12223), _u12225))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__sup__distrib1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__sup__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u12226) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12226), _u12227), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12226), _u12228), _u12229)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12226), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12226), _u12227), _u12228)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12226), _u12227), _u12229))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_sup__inf__absorb ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_sup__inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u12230) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12230), _u12231), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12230), _u12231), _u12232)) = _u12231) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__sup__absorb ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u12233) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12233), _u12234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12233), _u12234), _u12235)) = _u12234) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12243, tc_HOL_Obool)), _u12245), _u12247) != c_Orderings_Obot__class_Obot(tc_fun(_u12243, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12243), _u12237), _u12245)) | ~hBOOL(hAPP(hAPP(c_member(_u12243), _u12236), _u12247)) | ( _u12237 != _u12236) )).
% 27.68/27.89 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12244, tc_HOL_Obool)), _u12246), _u12248) = c_Orderings_Obot__class_Obot(tc_fun(_u12244, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12244), skolem253(_u12248, _u12246, _u12244)), _u12246)) )).
% 27.68/27.89 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12244, tc_HOL_Obool)), _u12246), _u12248) = c_Orderings_Obot__class_Obot(tc_fun(_u12244, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12244), skolem254(_u12248, _u12246, _u12244)), _u12248)) )).
% 27.68/27.89 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12244, tc_HOL_Obool)), _u12246), _u12248) = c_Orderings_Obot__class_Obot(tc_fun(_u12244, tc_HOL_Obool))) | ( skolem253(_u12248, _u12246, _u12244) = skolem254(_u12248, _u12246, _u12244)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12249, tc_HOL_Obool)), _u12250), c_Orderings_Obot__class_Obot(tc_fun(_u12249, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12249, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12251, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12251, tc_HOL_Obool))), _u12252) = c_Orderings_Obot__class_Obot(tc_fun(_u12251, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u12253) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12253), _u12254), c_Orderings_Obot__class_Obot(_u12253)) = c_Orderings_Obot__class_Obot(_u12253)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u12255) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12255), c_Orderings_Obot__class_Obot(_u12255)), _u12256) = c_Orderings_Obot__class_Obot(_u12255)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_insert__inter__insert-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12257, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12257), _u12258), _u12259)), hAPP(hAPP(c_Set_Oinsert(_u12257), _u12258), _u12260)) = hAPP(hAPP(c_Set_Oinsert(_u12257), _u12258), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12257, tc_HOL_Obool)), _u12259), _u12260))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_restrict__restrict ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_restrict__restrict-1, axiom, ( ( c_Map_Orestrict__map(_u12261, _u12262, c_Map_Orestrict__map(_u12261, _u12262, _u12263, _u12264), _u12265) = c_Map_Orestrict__map(_u12261, _u12262, _u12263, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12261, tc_HOL_Obool)), _u12264), _u12265))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12266) | ~c_Nat__Transfer_Onat__set(_u12267) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12266), _u12267)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u12270, _u12271)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12268, tc_HOL_Obool)), _u12269), _u12270), _u12271)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u12273, _u12275)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12272, tc_HOL_Obool)), _u12273), _u12274), _u12275)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12276, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12276, tc_HOL_Obool)), _u12277), _u12278)), _u12279) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12276, tc_HOL_Obool)), _u12277), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12276, tc_HOL_Obool)), _u12278), _u12279))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12280, tc_HOL_Obool)), _u12281), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12280, tc_HOL_Obool)), _u12282), _u12283)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12280, tc_HOL_Obool)), _u12282), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12280, tc_HOL_Obool)), _u12281), _u12283))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12284, tc_HOL_Obool)), _u12285), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12284, tc_HOL_Obool)), _u12285), _u12286)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12284, tc_HOL_Obool)), _u12285), _u12286)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12287, tc_HOL_Obool)), _u12288), _u12289) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12287, tc_HOL_Obool)), _u12289), _u12288)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12290, tc_HOL_Obool)), _u12291), _u12291) = _u12291) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u12292) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12293, _u12292)), _u12294), _u12295), _u12296) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12292), hAPP(_u12294, _u12296)), hAPP(_u12295, _u12296))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12297) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12297), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12297), _u12298), _u12299)), _u12300) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12297), _u12298), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12297), _u12299), _u12300))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u12301) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12301), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12301), _u12302), _u12303)), _u12304) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12301), _u12302), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12301), _u12303), _u12304))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12305) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12305), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12305), _u12306), _u12307)), _u12308) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12305), _u12306), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12305), _u12307), _u12308))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12309) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12309), _u12310), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12309), _u12311), _u12312)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12309), _u12311), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12309), _u12310), _u12312))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u12313) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12313), _u12314), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12313), _u12315), _u12316)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12313), _u12315), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12313), _u12314), _u12316))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12317) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12317), _u12318), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12317), _u12319), _u12320)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12317), _u12319), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12317), _u12318), _u12320))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12321) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12321), _u12322), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12321), _u12322), _u12323)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12321), _u12322), _u12323)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u12324) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12324), _u12325), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12324), _u12325), _u12326)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12324), _u12325), _u12326)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12327) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12327), _u12328), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12327), _u12328), _u12329)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12327), _u12328), _u12329)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12330) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12330), _u12331), _u12332) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12330), _u12332), _u12331)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u12333) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12333), _u12334), _u12335) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12333), _u12335), _u12334)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12336) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12336), _u12337), _u12338) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12336), _u12338), _u12337)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12339) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12339), _u12340), _u12340) = _u12340) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12341) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12341), _u12342), _u12342) = _u12342) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u12343) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12344, _u12343)), _u12345), _u12346), _u12347) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12343), hAPP(_u12345, _u12347)), hAPP(_u12346, _u12347))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__min ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__min-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12348) | ~class_Orderings_Olinorder(_u12348) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u12348) = c_Orderings_Oord__class_Omin(_u12348)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Inf__fin_Oidem ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Inf__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u12349) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12349), _u12350), _u12350) = _u12350) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_less__infI1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_less__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12351), _u12352), _u12353)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12351), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12351), _u12352), _u12354)), _u12353)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_less__infI2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_less__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12355), _u12356), _u12357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12355), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12355), _u12358), _u12356)), _u12357)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Diff__Int__distrib ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Diff__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12359, tc_HOL_Obool)), _u12360), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12359, tc_HOL_Obool)), _u12361), _u12362)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12359, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12359, tc_HOL_Obool)), _u12360), _u12361)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12359, tc_HOL_Obool)), _u12360), _u12362))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__Diff ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12363, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12363, tc_HOL_Obool)), _u12364), _u12365)), _u12366) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12363, tc_HOL_Obool)), _u12364), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12363, tc_HOL_Obool)), _u12365), _u12366))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Diff__Int__distrib2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Diff__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12367, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12367, tc_HOL_Obool)), _u12368), _u12369)), _u12370) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12367, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12367, tc_HOL_Obool)), _u12368), _u12370)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12367, tc_HOL_Obool)), _u12369), _u12370))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Diff__Int2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Diff__Int2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12371, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12371, tc_HOL_Obool)), _u12372), _u12373)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12371, tc_HOL_Obool)), _u12374), _u12373)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12371, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12371, tc_HOL_Obool)), _u12372), _u12373)), _u12374)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Pow__Int__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Pow__Int__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u12375), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12375, tc_HOL_Obool)), _u12376), _u12377)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u12375, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u12375), _u12376)), hAPP(c_Set_OPow(_u12375), _u12377))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__simps_I5_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12378, tc_fun(_u12379, tc_HOL_Obool)), _u12380), hAPP(hAPP(c_COMBB(tc_fun(_u12379, tc_HOL_Obool), tc_fun(_u12379, tc_HOL_Obool), _u12378), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12379, tc_HOL_Obool)), _u12381)), _u12382)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12379, tc_HOL_Obool)), _u12381), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12378, tc_fun(_u12379, tc_HOL_Obool)), _u12380), _u12382))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__simps_I4_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12383, tc_fun(_u12384, tc_HOL_Obool)), _u12385), hAPP(hAPP(c_COMBC(_u12383, tc_fun(_u12384, tc_HOL_Obool), tc_fun(_u12384, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12384, tc_HOL_Obool), tc_fun(tc_fun(_u12384, tc_HOL_Obool), tc_fun(_u12384, tc_HOL_Obool)), _u12383), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12384, tc_HOL_Obool))), _u12386)), _u12387)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12384, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12383, tc_fun(_u12384, tc_HOL_Obool)), _u12385), _u12386)), _u12387)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__extend__simps_I5_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12388, tc_HOL_Obool)), _u12389), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12390, tc_fun(_u12388, tc_HOL_Obool)), _u12391), _u12392)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12390, tc_fun(_u12388, tc_HOL_Obool)), _u12391), hAPP(hAPP(c_COMBB(tc_fun(_u12388, tc_HOL_Obool), tc_fun(_u12388, tc_HOL_Obool), _u12390), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12388, tc_HOL_Obool)), _u12389)), _u12392))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__UN__distrib ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__UN__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12393, tc_HOL_Obool)), _u12394), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12395, tc_fun(_u12393, tc_HOL_Obool)), _u12396), _u12397)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12395, tc_fun(_u12393, tc_HOL_Obool)), _u12396), hAPP(hAPP(c_COMBB(tc_fun(_u12393, tc_HOL_Obool), tc_fun(_u12393, tc_HOL_Obool), _u12395), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12393, tc_HOL_Obool)), _u12394)), _u12397))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__extend__simps_I4_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__extend__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12398, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12399, tc_fun(_u12398, tc_HOL_Obool)), _u12400), _u12401)), _u12402) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12399, tc_fun(_u12398, tc_HOL_Obool)), _u12400), hAPP(hAPP(c_COMBC(_u12399, tc_fun(_u12398, tc_HOL_Obool), tc_fun(_u12398, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12398, tc_HOL_Obool), tc_fun(tc_fun(_u12398, tc_HOL_Obool), tc_fun(_u12398, tc_HOL_Obool)), _u12399), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12398, tc_HOL_Obool))), _u12401)), _u12402))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__UN__distrib2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__UN__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12403, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12404, tc_fun(_u12403, tc_HOL_Obool)), _u12405), _u12406)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12407, tc_fun(_u12403, tc_HOL_Obool)), _u12408), _u12409)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12404, tc_fun(_u12403, tc_HOL_Obool)), _u12405), hAPP(hAPP(c_COMBB(tc_fun(_u12407, tc_fun(_u12403, tc_HOL_Obool)), tc_fun(_u12403, tc_HOL_Obool), _u12404), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12407, tc_fun(_u12403, tc_HOL_Obool)), _u12408)), hAPP(hAPP(c_COMBC(_u12404, tc_fun(_u12407, tc_fun(_u12403, tc_HOL_Obool)), tc_fun(_u12407, tc_fun(_u12403, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12403, tc_HOL_Obool), tc_fun(_u12403, tc_HOL_Obool)), tc_fun(tc_fun(_u12407, tc_fun(_u12403, tc_HOL_Obool)), tc_fun(_u12407, tc_fun(_u12403, tc_HOL_Obool))), _u12404), c_COMBB(tc_fun(_u12403, tc_HOL_Obool), tc_fun(_u12403, tc_HOL_Obool), _u12407)), hAPP(hAPP(c_COMBB(tc_fun(_u12403, tc_HOL_Obool), tc_fun(tc_fun(_u12403, tc_HOL_Obool), tc_fun(_u12403, tc_HOL_Obool)), _u12404), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12403, tc_HOL_Obool))), _u12406))), _u12409)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_distrib__sup__le ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_distrib__sup__le-1, axiom, ( ~class_Lattices_Olattice(_u12410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12410), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12410), _u12411), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12410), _u12412), _u12413))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12410), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12410), _u12411), _u12412)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12410), _u12411), _u12413)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_distrib__inf__le ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_distrib__inf__le-1, axiom, ( ~class_Lattices_Olattice(_u12414) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12414), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12414), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12414), _u12415), _u12416)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12414), _u12415), _u12417))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12414), _u12415), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12414), _u12416), _u12417)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_compl__inf__bot ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_compl__inf__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12418) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12418), hAPP(c_Groups_Ouminus__class_Ouminus(_u12418), _u12419)), _u12419) = c_Orderings_Obot__class_Obot(_u12418)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__compl__bot ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__compl__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12420) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12420), _u12421), hAPP(c_Groups_Ouminus__class_Ouminus(_u12420), _u12421)) = c_Orderings_Obot__class_Obot(_u12420)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_diff__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_diff__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12422) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12422), _u12423), _u12424) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12422), _u12423), hAPP(c_Groups_Ouminus__class_Ouminus(_u12422), _u12424))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_compl__sup ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_compl__sup-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12425) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12425), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12425), _u12426), _u12427)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12425), hAPP(c_Groups_Ouminus__class_Ouminus(_u12425), _u12426)), hAPP(c_Groups_Ouminus__class_Ouminus(_u12425), _u12427))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_compl__inf ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_compl__inf-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12428) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12428), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12428), _u12429), _u12430)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12428), hAPP(c_Groups_Ouminus__class_Ouminus(_u12428), _u12429)), hAPP(c_Groups_Ouminus__class_Ouminus(_u12428), _u12430))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12435), _u12437), _u12439)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12435, tc_HOL_Obool)), _u12439), hAPP(hAPP(c_Set_Oinsert(_u12435), _u12437), _u12441)) = hAPP(hAPP(c_Set_Oinsert(_u12435), _u12437), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12435, tc_HOL_Obool)), _u12439), _u12441))) )).
% 27.68/27.89 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12436), _u12438), _u12440)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12436, tc_HOL_Obool)), _u12440), hAPP(hAPP(c_Set_Oinsert(_u12436), _u12438), _u12442)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12436, tc_HOL_Obool)), _u12440), _u12442)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12447), _u12449), _u12451)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12447, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12447), _u12449), _u12453)), _u12451) = hAPP(hAPP(c_Set_Oinsert(_u12447), _u12449), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12447, tc_HOL_Obool)), _u12453), _u12451))) )).
% 27.68/27.89 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12448), _u12450), _u12452)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12448, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12448), _u12450), _u12454)), _u12452) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12448, tc_HOL_Obool)), _u12454), _u12452)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12455), _u12456), _u12457)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12455, tc_HOL_Obool)), _u12457), hAPP(hAPP(c_Set_Oinsert(_u12455), _u12456), _u12458)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12455, tc_HOL_Obool)), _u12457), _u12458)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12459), _u12460), _u12461)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12459, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12459), _u12460), _u12462)), _u12461) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12459, tc_HOL_Obool)), _u12462), _u12461)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12463), _u12464), _u12465)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12463, tc_HOL_Obool)), _u12465), hAPP(hAPP(c_Set_Oinsert(_u12463), _u12464), _u12466)) = hAPP(hAPP(c_Set_Oinsert(_u12463), _u12464), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12463, tc_HOL_Obool)), _u12465), _u12466))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12467), _u12468), _u12469)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12467, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12467), _u12468), _u12470)), _u12469) = hAPP(hAPP(c_Set_Oinsert(_u12467), _u12468), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12467, tc_HOL_Obool)), _u12470), _u12469))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_image__Int__subset ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12471, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12472, _u12471, _u12473), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12472, tc_HOL_Obool)), _u12474), _u12475))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12471, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12472, _u12471, _u12473), _u12474)), hAPP(c_Set_Oimage(_u12472, _u12471, _u12473), _u12475)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Diff__triv ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Diff__triv-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12476, tc_HOL_Obool)), _u12477), _u12478) != c_Orderings_Obot__class_Obot(tc_fun(_u12476, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12476, tc_HOL_Obool)), _u12477), _u12478) = _u12477) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Diff__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Diff__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12479, tc_HOL_Obool)), _u12480), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12479, tc_HOL_Obool)), _u12481), _u12480)) = c_Orderings_Obot__class_Obot(tc_fun(_u12479, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Un__Int__assoc__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Un__Int__assoc__eq-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12486, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12486, tc_HOL_Obool)), _u12488), _u12490)), _u12492) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12486, tc_HOL_Obool)), _u12488), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12486, tc_HOL_Obool)), _u12490), _u12492))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12486, tc_HOL_Obool)), _u12492), _u12488)) )).
% 27.68/27.89 cnf(fact_Un__Int__assoc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12487, tc_HOL_Obool)), _u12493), _u12489)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12487, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12487, tc_HOL_Obool)), _u12489), _u12491)), _u12493) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12487, tc_HOL_Obool)), _u12489), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12487, tc_HOL_Obool)), _u12491), _u12493))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Un__Diff__Int ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Un__Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12494, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12494, tc_HOL_Obool)), _u12495), _u12496)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12494, tc_HOL_Obool)), _u12495), _u12496)) = _u12495) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Diff__Un ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Diff__Un-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12497, tc_HOL_Obool)), _u12498), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12497, tc_HOL_Obool)), _u12499), _u12500)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12497, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12497, tc_HOL_Obool)), _u12498), _u12499)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12497, tc_HOL_Obool)), _u12498), _u12500))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Diff__Int ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12501, tc_HOL_Obool)), _u12502), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12501, tc_HOL_Obool)), _u12503), _u12504)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12501, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12501, tc_HOL_Obool)), _u12502), _u12503)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12501, tc_HOL_Obool)), _u12502), _u12504))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I11_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u12505) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12505, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12505, _u12506), _u12507)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12505, _u12507), _u12508)) = c_Orderings_Obot__class_Obot(tc_fun(_u12505, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J ( axiom ) converted to clauses:
% 27.68/27.89 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)), _u12509), _u12510) = 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)), _u12509)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12510)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Compl__disjoint2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Compl__disjoint2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12511, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12511, tc_HOL_Obool)), _u12512)), _u12512) = c_Orderings_Obot__class_Obot(tc_fun(_u12511, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Compl__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Compl__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12513, tc_HOL_Obool)), _u12514), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12513, tc_HOL_Obool)), _u12514)) = c_Orderings_Obot__class_Obot(tc_fun(_u12513, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Image__Int__subset ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12515, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12516, _u12515, _u12517), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12516, tc_HOL_Obool)), _u12518), _u12519))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12515, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12516, _u12515, _u12517), _u12518)), hAPP(c_Relation_OImage(_u12516, _u12515, _u12517), _u12519)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Compl__Un ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Compl__Un-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12520, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12520, tc_HOL_Obool)), _u12521), _u12522)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12520, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12520, tc_HOL_Obool)), _u12521)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12520, tc_HOL_Obool)), _u12522))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Compl__Int ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Compl__Int-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12523, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12523, tc_HOL_Obool)), _u12524), _u12525)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12523, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12523, tc_HOL_Obool)), _u12524)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12523, tc_HOL_Obool)), _u12525))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Diff__Compl ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Diff__Compl-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12526, tc_HOL_Obool)), _u12527), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12526, tc_HOL_Obool)), _u12528)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12526, tc_HOL_Obool)), _u12527), _u12528)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Diff__eq ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12529, tc_HOL_Obool)), _u12530), _u12531) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12529, tc_HOL_Obool)), _u12530), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12529, tc_HOL_Obool)), _u12531))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I14_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I14_J-1, axiom, ( ~class_Orderings_Oorder(_u12532) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12532, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12532, _u12533, _u12534)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12532, _u12534, _u12535)) = c_Orderings_Obot__class_Obot(tc_fun(_u12532, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Image__Id__on ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Image__Id__on-1, axiom, ( ( hAPP(c_Relation_OImage(_u12536, _u12536, c_Relation_OId__on(_u12536, _u12537)), _u12538) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12536, tc_HOL_Obool)), _u12537), _u12538)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12539) | ~c_Nat__Transfer_Onat__set(_u12540) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12539), _u12540) = 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), _u12539)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12540)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_congruent2__implies__congruent ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_congruent2__implies__congruent-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12541, _u12542, _u12543) | ~c_Equiv__Relations_Ocongruent2(_u12541, _u12544, _u12545, _u12543, _u12546, _u12547) | ~hBOOL(hAPP(hAPP(c_member(_u12541), _u12548), _u12542)) | c_Equiv__Relations_Ocongruent(_u12544, _u12545, _u12546, hAPP(_u12547, _u12548)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__Sup__absorb ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__Sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u12549) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12549), _u12550)) | ~hBOOL(hAPP(hAPP(c_member(_u12549), _u12551), _u12550)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12549), _u12551), c_Big__Operators_Olattice__class_OSup__fin(_u12549, _u12550)) = _u12551) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_disjoint__eq__subset__Compl ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_disjoint__eq__subset__Compl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12555, tc_HOL_Obool)), _u12557), _u12559) != c_Orderings_Obot__class_Obot(tc_fun(_u12555, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12555, tc_HOL_Obool)), _u12557), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12555, tc_HOL_Obool)), _u12559))) )).
% 27.68/27.89 cnf(fact_disjoint__eq__subset__Compl-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12556, tc_HOL_Obool)), _u12558), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12556, tc_HOL_Obool)), _u12560))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12556, tc_HOL_Obool)), _u12558), _u12560) = c_Orderings_Obot__class_Obot(tc_fun(_u12556, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I15_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I15_J-1, axiom, ( ~class_Orderings_Oorder(_u12561) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12561, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12561, _u12562), _u12563)), c_SetInterval_Oord__class_OatLeastAtMost(_u12561, _u12563, _u12564)) = c_Orderings_Obot__class_Obot(tc_fun(_u12561, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__atLeastAtMost ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__atLeastAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u12565) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12565, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12565, _u12566, _u12567)), c_SetInterval_Oord__class_OatLeastAtMost(_u12565, _u12568, _u12569)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12565, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12565), _u12566), _u12568), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12565), _u12567), _u12569))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__atLeastLessThan ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__atLeastLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u12570) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12570, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12570, _u12571), _u12572)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12570, _u12573), _u12574)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12570, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12570), _u12571), _u12573)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12570), _u12572), _u12574))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I4_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u12575) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12575, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12575), _u12576)), c_SetInterval_Oord__class_OatLeastAtMost(_u12575, _u12576, _u12577)) = c_Orderings_Obot__class_Obot(tc_fun(_u12575, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I2_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u12578) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12578, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12578), _u12579)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12578, _u12579), _u12580)) = c_Orderings_Obot__class_Obot(tc_fun(_u12578, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I16_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I16_J-1, axiom, ( ~class_Orderings_Oorder(_u12581) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12581, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12581, _u12582, _u12583)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12581, _u12583, _u12584)) = c_Orderings_Obot__class_Obot(tc_fun(_u12581, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I13_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I13_J-1, axiom, ( ~class_Orderings_Oorder(_u12585) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12585, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12585, _u12586, _u12587)), c_SetInterval_Oord__class_OatLeastAtMost(_u12585, _u12587, _u12588)) = c_Orderings_Obot__class_Obot(tc_fun(_u12585, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I12_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u12589) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12589, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12589, _u12590, _u12591)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12589, _u12591, _u12592)) = c_Orderings_Obot__class_Obot(tc_fun(_u12589, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__greaterThanAtMost ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__greaterThanAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u12593) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12593, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12593, _u12594, _u12595)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12593, _u12596, _u12597)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u12593, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12593), _u12594), _u12596), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12593), _u12595), _u12597))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I9_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u12598) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12598, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12598, _u12599, _u12600)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12598, _u12600), _u12601)) = c_Orderings_Obot__class_Obot(tc_fun(_u12598, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__greaterThanLessThan ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__greaterThanLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u12602) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12602, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12602, _u12603, _u12604)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12602, _u12605, _u12606)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u12602, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12602), _u12603), _u12605), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12602), _u12604), _u12606))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__atLeastAtMostR1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__atLeastAtMostR1-1, axiom, ( ~class_Orderings_Olinorder(_u12607) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12607, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12607), _u12608)), c_SetInterval_Oord__class_OatLeastAtMost(_u12607, _u12609, _u12610)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12607, _u12609, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12607), _u12608), _u12610))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__atLeastAtMostL1 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__atLeastAtMostL1-1, axiom, ( ~class_Orderings_Olinorder(_u12611) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12611, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12611, _u12612, _u12613)), hAPP(c_SetInterval_Oord__class_OatMost(_u12611), _u12614)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12611, _u12612, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12611), _u12613), _u12614))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I8_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u12615) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12615, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12615, _u12616), _u12617)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12615), _u12617)) = c_Orderings_Obot__class_Obot(tc_fun(_u12615, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I7_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u12618) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12618, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12618, _u12619, _u12620)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12618), _u12620)) = c_Orderings_Obot__class_Obot(tc_fun(_u12618, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__atLeastAtMostR2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__atLeastAtMostR2-1, axiom, ( ~class_Orderings_Olinorder(_u12621) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12621, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12621), _u12622)), c_SetInterval_Oord__class_OatLeastAtMost(_u12621, _u12623, _u12624)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12621, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12621), _u12622), _u12623), _u12624)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Int__atLeastAtMostL2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Int__atLeastAtMostL2-1, axiom, ( ~class_Orderings_Olinorder(_u12625) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12625, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12625, _u12626, _u12627)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12625), _u12628)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12625, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12625), _u12626), _u12628), _u12627)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I3_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u12629) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12629, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12629), _u12630)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12629, _u12630, _u12631)) = c_Orderings_Obot__class_Obot(tc_fun(_u12629, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I10_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u12632) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12632, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12632, _u12633, _u12634)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12632, _u12634, _u12635)) = c_Orderings_Obot__class_Obot(tc_fun(_u12632, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I1_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u12636) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12636, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12636), _u12637)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12636, _u12637, _u12638)) = c_Orderings_Obot__class_Obot(tc_fun(_u12636, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I6_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u12639) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12639, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12639, _u12640, _u12641)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12639), _u12641)) = c_Orderings_Obot__class_Obot(tc_fun(_u12639, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_ivl__disj__int_I5_J ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_ivl__disj__int_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u12642) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12642, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12642, _u12643, _u12644)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12642), _u12644)) = c_Orderings_Obot__class_Obot(tc_fun(_u12642, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__image__simple_Ounion__inter ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__image__simple_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12646), _u12651)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12646), _u12652)) | ( hAPP(hAPP(_u12647, hAPP(_u12650, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12646, tc_HOL_Obool)), _u12651), _u12652))), hAPP(_u12650, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12646, tc_HOL_Obool)), _u12651), _u12652))) = hAPP(hAPP(_u12647, hAPP(_u12650, _u12651)), hAPP(_u12650, _u12652))) | ~c_Finite__Set_Ofolding__image__simple(_u12645, _u12646, _u12647, _u12648, _u12649, _u12650) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_compl__unique ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_compl__unique-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12653) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12653), _u12654), _u12655) != c_Orderings_Obot__class_Obot(_u12653)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12653), _u12654), _u12655) != c_Orderings_Otop__class_Otop(_u12653)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12653), _u12654) = _u12655) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__Un__Int ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12656) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12657), _u12658)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12657), _u12659)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12656), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12657, _u12656), _u12660), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12657, tc_HOL_Obool)), _u12658), _u12659))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12657, _u12656), _u12660), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12657, tc_HOL_Obool)), _u12658), _u12659))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12656), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12657, _u12656), _u12660), _u12658)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12657, _u12656), _u12660), _u12659))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod_Ounion__inter ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod_Ounion__inter-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12662), _u12663)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12662), _u12664)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12661), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12662, tc_HOL_Obool)), _u12663), _u12664))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12662, tc_HOL_Obool)), _u12663), _u12664))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12661), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), _u12663)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), _u12664))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__Un__Int ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12666) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12667), _u12668)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12667), _u12669)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12666), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12667, _u12666), _u12670), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12667, tc_HOL_Obool)), _u12668), _u12669))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12667, _u12666), _u12670), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12667, tc_HOL_Obool)), _u12668), _u12669))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12666), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12667, _u12666), _u12670), _u12668)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12667, _u12666), _u12670), _u12669))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card_Ounion__inter ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12671), _u12672)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12671), _u12673)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12671), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12671, tc_HOL_Obool)), _u12672), _u12673))), hAPP(c_Finite__Set_Ocard(_u12671), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12671, tc_HOL_Obool)), _u12672), _u12673))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12671), _u12672)), hAPP(c_Finite__Set_Ocard(_u12671), _u12673))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card__Un__Int ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card__Un__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12674), _u12675)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12674), _u12676)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12674), _u12675)), hAPP(c_Finite__Set_Ocard(_u12674), _u12676)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12674), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12674, tc_HOL_Obool)), _u12675), _u12676))), hAPP(c_Finite__Set_Ocard(_u12674), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12674, tc_HOL_Obool)), _u12675), _u12676)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card__Diff__subset__Int ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card__Diff__subset__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12677), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12677, tc_HOL_Obool)), _u12678), _u12679))) | ( hAPP(c_Finite__Set_Ocard(_u12677), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12677, tc_HOL_Obool)), _u12678), _u12679)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12677), _u12678)), hAPP(c_Finite__Set_Ocard(_u12677), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12677, tc_HOL_Obool)), _u12678), _u12679)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__restrict__set ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__restrict__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12680) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12681), _u12682)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12681, _u12680), _u12683), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12681, tc_HOL_Obool)), _u12682), _u12684)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12681, _u12680), hAPP(hAPP(c_COMBC(_u12681, _u12680, _u12680), hAPP(hAPP(c_COMBS(_u12681, _u12680, tc_fun(_u12680, _u12680)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12680, tc_fun(_u12680, _u12680)), _u12681), c_If(_u12680)), hAPP(hAPP(c_COMBC(_u12681, tc_fun(_u12681, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12681)), _u12684))), _u12683)), c_Groups_Ozero__class_Ozero(_u12680))), _u12682)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding_Ounion__inter ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding(_u12685, _u12686, _u12687, _u12688) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12685), _u12689)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12685), _u12690)) | ( hAPP(c_Fun_Ocomp(_u12686, _u12686, _u12686, hAPP(_u12688, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12685, tc_HOL_Obool)), _u12689), _u12690))), hAPP(_u12688, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12685, tc_HOL_Obool)), _u12689), _u12690))) = hAPP(c_Fun_Ocomp(_u12686, _u12686, _u12686, hAPP(_u12688, _u12689)), hAPP(_u12688, _u12690))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_quotient__disj ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_quotient__disj-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12691, _u12692, _u12693) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12691, tc_HOL_Obool)), _u12694), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12691), _u12692), _u12693))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12691, tc_HOL_Obool)), _u12695), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12691), _u12692), _u12693))) | ( _u12694 = _u12695) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12691, tc_HOL_Obool)), _u12694), _u12695) = c_Orderings_Obot__class_Obot(tc_fun(_u12691, tc_HOL_Obool))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_atMost__Int__atLeast ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_atMost__Int__atLeast-1, axiom, ( ~class_Orderings_Oorder(_u12696) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12696, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12696), _u12697)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12696), _u12697)) = hAPP(hAPP(c_Set_Oinsert(_u12696), _u12697), c_Orderings_Obot__class_Obot(tc_fun(_u12696, tc_HOL_Obool)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__image__simple_Ounion__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__image__simple_Ounion__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12699), _u12704)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12699), _u12705)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12699, tc_HOL_Obool)), _u12704), _u12705) != c_Orderings_Obot__class_Obot(tc_fun(_u12699, tc_HOL_Obool))) | ( hAPP(_u12703, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12699, tc_HOL_Obool)), _u12704), _u12705)) = hAPP(hAPP(_u12700, hAPP(_u12703, _u12704)), hAPP(_u12703, _u12705))) | ~c_Finite__Set_Ofolding__image__simple(_u12698, _u12699, _u12700, _u12701, _u12702, _u12703) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__one_Ounion__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__one_Ounion__disjoint-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u12706, _u12707, _u12708) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12706), _u12709)) | ( _u12709 = c_Orderings_Obot__class_Obot(tc_fun(_u12706, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12706), _u12710)) | ( _u12710 = c_Orderings_Obot__class_Obot(tc_fun(_u12706, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12706, tc_HOL_Obool)), _u12709), _u12710) != c_Orderings_Obot__class_Obot(tc_fun(_u12706, tc_HOL_Obool))) | ( hAPP(_u12708, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12706, tc_HOL_Obool)), _u12709), _u12710)) = hAPP(hAPP(_u12707, hAPP(_u12708, _u12709)), hAPP(_u12708, _u12710))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding__one_Ounion__inter ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding__one_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u12711, _u12712, _u12713) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12711), _u12714)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12711), _u12715)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12711, tc_HOL_Obool)), _u12714), _u12715) = c_Orderings_Obot__class_Obot(tc_fun(_u12711, tc_HOL_Obool))) | ( hAPP(hAPP(_u12712, hAPP(_u12713, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12711, tc_HOL_Obool)), _u12714), _u12715))), hAPP(_u12713, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12711, tc_HOL_Obool)), _u12714), _u12715))) = hAPP(hAPP(_u12712, hAPP(_u12713, _u12714)), hAPP(_u12713, _u12715))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__Un__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12716) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12717), _u12718)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12717), _u12719)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12717, tc_HOL_Obool)), _u12718), _u12719) != c_Orderings_Obot__class_Obot(tc_fun(_u12717, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12717, _u12716), _u12720), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12717, tc_HOL_Obool)), _u12718), _u12719)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12716), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12717, _u12716), _u12720), _u12718)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12717, _u12716), _u12720), _u12719))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__Un ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__Un-1, axiom, ( ~class_Groups_Oab__group__add(_u12721) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12722), _u12723)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12722), _u12724)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12722, _u12721), _u12725), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12722, tc_HOL_Obool)), _u12723), _u12724)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12721), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12721), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12722, _u12721), _u12725), _u12723)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12722, _u12721), _u12725), _u12724))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12722, _u12721), _u12725), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12722, tc_HOL_Obool)), _u12723), _u12724)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod_Ounion__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod_Ounion__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12727), _u12728)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12727), _u12729)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12727, tc_HOL_Obool)), _u12728), _u12729) != c_Orderings_Obot__class_Obot(tc_fun(_u12727, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12727, _u12726), _u12730), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12727, tc_HOL_Obool)), _u12728), _u12729)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12726), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12727, _u12726), _u12730), _u12728)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12727, _u12726), _u12730), _u12729))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__Un__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12732), _u12733)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12732), _u12734)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12732, tc_HOL_Obool)), _u12733), _u12734) != c_Orderings_Obot__class_Obot(tc_fun(_u12732, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12732, _u12731), _u12735), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12732, tc_HOL_Obool)), _u12733), _u12734)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12731), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12732, _u12731), _u12735), _u12733)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12732, _u12731), _u12735), _u12734))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card__Un__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card__Un__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12736), _u12737)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12736), _u12738)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12736, tc_HOL_Obool)), _u12737), _u12738) != c_Orderings_Obot__class_Obot(tc_fun(_u12736, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u12736), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12736, tc_HOL_Obool)), _u12737), _u12738)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12736), _u12737)), hAPP(c_Finite__Set_Ocard(_u12736), _u12738))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Sup__fin_Ounion__inter ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Sup__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u12739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12739), _u12740)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12739), _u12741)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12739, tc_HOL_Obool)), _u12740), _u12741) = c_Orderings_Obot__class_Obot(tc_fun(_u12739, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12739), c_Big__Operators_Olattice__class_OSup__fin(_u12739, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12739, tc_HOL_Obool)), _u12740), _u12741))), c_Big__Operators_Olattice__class_OSup__fin(_u12739, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12739, tc_HOL_Obool)), _u12740), _u12741))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12739), c_Big__Operators_Olattice__class_OSup__fin(_u12739, _u12740)), c_Big__Operators_Olattice__class_OSup__fin(_u12739, _u12741))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Sup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Sup__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u12742) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12742), _u12743)) | ( _u12743 = c_Orderings_Obot__class_Obot(tc_fun(_u12742, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12742), _u12744)) | ( _u12744 = c_Orderings_Obot__class_Obot(tc_fun(_u12742, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12742, tc_HOL_Obool)), _u12743), _u12744) != c_Orderings_Obot__class_Obot(tc_fun(_u12742, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u12742, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12742, tc_HOL_Obool)), _u12743), _u12744)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12742), c_Big__Operators_Olattice__class_OSup__fin(_u12742, _u12743)), c_Big__Operators_Olattice__class_OSup__fin(_u12742, _u12744))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min_Ounion__inter ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u12745) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12745), _u12746)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12745), _u12747)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12745, tc_HOL_Obool)), _u12746), _u12747) = c_Orderings_Obot__class_Obot(tc_fun(_u12745, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12745), c_Big__Operators_Olinorder__class_OMin(_u12745, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12745, tc_HOL_Obool)), _u12746), _u12747))), c_Big__Operators_Olinorder__class_OMin(_u12745, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12745, tc_HOL_Obool)), _u12746), _u12747))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12745), c_Big__Operators_Olinorder__class_OMin(_u12745, _u12746)), c_Big__Operators_Olinorder__class_OMin(_u12745, _u12747))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Min_Ounion__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Min_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u12748) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12748), _u12749)) | ( _u12749 = c_Orderings_Obot__class_Obot(tc_fun(_u12748, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12748), _u12750)) | ( _u12750 = c_Orderings_Obot__class_Obot(tc_fun(_u12748, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12748, tc_HOL_Obool)), _u12749), _u12750) != c_Orderings_Obot__class_Obot(tc_fun(_u12748, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u12748, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12748, tc_HOL_Obool)), _u12749), _u12750)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12748), c_Big__Operators_Olinorder__class_OMin(_u12748, _u12749)), c_Big__Operators_Olinorder__class_OMin(_u12748, _u12750))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max_Ounion__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u12751) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12751), _u12752)) | ( _u12752 = c_Orderings_Obot__class_Obot(tc_fun(_u12751, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12751), _u12753)) | ( _u12753 = c_Orderings_Obot__class_Obot(tc_fun(_u12751, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12751, tc_HOL_Obool)), _u12752), _u12753) != c_Orderings_Obot__class_Obot(tc_fun(_u12751, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u12751, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12751, tc_HOL_Obool)), _u12752), _u12753)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12751), c_Big__Operators_Olinorder__class_OMax(_u12751, _u12752)), c_Big__Operators_Olinorder__class_OMax(_u12751, _u12753))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Max_Ounion__inter ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_Max_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u12754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12754), _u12755)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12754), _u12756)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12754, tc_HOL_Obool)), _u12755), _u12756) = c_Orderings_Obot__class_Obot(tc_fun(_u12754, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12754), c_Big__Operators_Olinorder__class_OMax(_u12754, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12754, tc_HOL_Obool)), _u12755), _u12756))), c_Big__Operators_Olinorder__class_OMax(_u12754, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12754, tc_HOL_Obool)), _u12755), _u12756))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12754), c_Big__Operators_Olinorder__class_OMax(_u12754, _u12755)), c_Big__Operators_Olinorder__class_OMax(_u12754, _u12756))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OInf__fin_Ounion__inter ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u12757) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12757), _u12758)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12757), _u12759)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12757, tc_HOL_Obool)), _u12758), _u12759) = c_Orderings_Obot__class_Obot(tc_fun(_u12757, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12757), c_Big__Operators_Olattice_OInf__fin(_u12757, c_Orderings_Oord__class_Omin(_u12757), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12757, tc_HOL_Obool)), _u12758), _u12759))), c_Big__Operators_Olattice_OInf__fin(_u12757, c_Orderings_Oord__class_Omin(_u12757), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12757, tc_HOL_Obool)), _u12758), _u12759))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12757), c_Big__Operators_Olattice_OInf__fin(_u12757, c_Orderings_Oord__class_Omin(_u12757), _u12758)), c_Big__Operators_Olattice_OInf__fin(_u12757, c_Orderings_Oord__class_Omin(_u12757), _u12759))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OInf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OInf__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u12760) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12760), _u12761)) | ( _u12761 = c_Orderings_Obot__class_Obot(tc_fun(_u12760, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12760), _u12762)) | ( _u12762 = c_Orderings_Obot__class_Obot(tc_fun(_u12760, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12760, tc_HOL_Obool)), _u12761), _u12762) != c_Orderings_Obot__class_Obot(tc_fun(_u12760, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u12760, c_Orderings_Oord__class_Omin(_u12760), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12760, tc_HOL_Obool)), _u12761), _u12762)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12760), c_Big__Operators_Olattice_OInf__fin(_u12760, c_Orderings_Oord__class_Omin(_u12760), _u12761)), c_Big__Operators_Olattice_OInf__fin(_u12760, c_Orderings_Oord__class_Omin(_u12760), _u12762))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OSup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u12763) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12763), _u12764)) | ( _u12764 = c_Orderings_Obot__class_Obot(tc_fun(_u12763, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12763), _u12765)) | ( _u12765 = c_Orderings_Obot__class_Obot(tc_fun(_u12763, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12763, tc_HOL_Obool)), _u12764), _u12765) != c_Orderings_Obot__class_Obot(tc_fun(_u12763, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u12763, c_Orderings_Oord__class_Omax(_u12763), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12763, tc_HOL_Obool)), _u12764), _u12765)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12763), c_Big__Operators_Olattice_OSup__fin(_u12763, c_Orderings_Oord__class_Omax(_u12763), _u12764)), c_Big__Operators_Olattice_OSup__fin(_u12763, c_Orderings_Oord__class_Omax(_u12763), _u12765))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_min__max_OSup__fin_Ounion__inter ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_min__max_OSup__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u12766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12766), _u12767)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12766), _u12768)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12766, tc_HOL_Obool)), _u12767), _u12768) = c_Orderings_Obot__class_Obot(tc_fun(_u12766, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12766), c_Big__Operators_Olattice_OSup__fin(_u12766, c_Orderings_Oord__class_Omax(_u12766), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12766, tc_HOL_Obool)), _u12767), _u12768))), c_Big__Operators_Olattice_OSup__fin(_u12766, c_Orderings_Oord__class_Omax(_u12766), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12766, tc_HOL_Obool)), _u12767), _u12768))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12766), c_Big__Operators_Olattice_OSup__fin(_u12766, c_Orderings_Oord__class_Omax(_u12766), _u12767)), c_Big__Operators_Olattice_OSup__fin(_u12766, c_Orderings_Oord__class_Omax(_u12766), _u12768))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_congruent2D ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_congruent2D-1, axiom, ( ~c_Equiv__Relations_Ocongruent2(_u12769, _u12770, _u12771, _u12772, _u12773, _u12774) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12769, _u12769)), hAPP(hAPP(c_Product__Type_OPair(_u12769, _u12769), _u12775), _u12776)), _u12772)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12770, _u12770)), hAPP(hAPP(c_Product__Type_OPair(_u12770, _u12770), _u12777), _u12778)), _u12773)) | ( hAPP(hAPP(_u12774, _u12775), _u12777) = hAPP(hAPP(_u12774, _u12776), _u12778)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setsum__Un__nat ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setsum__Un__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12779), _u12780)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12779), _u12781)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12779, tc_Nat_Onat), _u12782), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12779, tc_HOL_Obool)), _u12780), _u12781)) = 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(_u12779, tc_Nat_Onat), _u12782), _u12780)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12779, tc_Nat_Onat), _u12782), _u12781))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12779, tc_Nat_Onat), _u12782), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12779, tc_HOL_Obool)), _u12780), _u12781)))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_folding_Ounion ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_folding_Ounion-1, axiom, ( ~c_Finite__Set_Ofolding(_u12783, _u12784, _u12785, _u12786) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12783), _u12787)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12783), _u12788)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12783, tc_HOL_Obool)), _u12787), _u12788) != c_Orderings_Obot__class_Obot(tc_fun(_u12783, tc_HOL_Obool))) | ( hAPP(_u12786, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12783, tc_HOL_Obool)), _u12787), _u12788)) = hAPP(c_Fun_Ocomp(_u12784, _u12784, _u12784, hAPP(_u12786, _u12787)), hAPP(_u12786, _u12788))) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_congruentD ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_congruentD-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u12789, _u12790, _u12791, _u12792) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12789, _u12789)), hAPP(hAPP(c_Product__Type_OPair(_u12789, _u12789), _u12793), _u12794)), _u12791)) | ( hAPP(_u12792, _u12793) = hAPP(_u12792, _u12794)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_congruent2__implies__congruent__UN ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_congruent2__implies__congruent__UN-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12795, _u12796, _u12797) | ~c_Equiv__Relations_Oequiv(_u12798, _u12799, _u12800) | ~c_Equiv__Relations_Ocongruent2(_u12795, _u12798, tc_fun(_u12801, tc_HOL_Obool), _u12797, _u12800, _u12802) | ~hBOOL(hAPP(hAPP(c_member(_u12798), _u12803), _u12799)) | c_Equiv__Relations_Ocongruent(_u12795, tc_fun(_u12801, tc_HOL_Obool), _u12797, hAPP(hAPP(c_COMBB(tc_fun(_u12798, tc_fun(_u12801, tc_HOL_Obool)), tc_fun(_u12801, tc_HOL_Obool), _u12795), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12798, tc_fun(_u12801, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12798, _u12798, _u12800), hAPP(hAPP(c_Set_Oinsert(_u12798), _u12803), c_Orderings_Obot__class_Obot(tc_fun(_u12798, tc_HOL_Obool)))))), _u12802)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__equiv__class__inject ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__equiv__class__inject-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12806, _u12807, _u12808) | ~c_Equiv__Relations_Ocongruent(_u12806, tc_fun(_u12809, tc_HOL_Obool), _u12808, _u12810) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12811), _u12810) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12812), _u12810)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12811), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12812), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ( _u12811 = _u12812) | hBOOL(hAPP(hAPP(c_member(_u12806), skolem255(_u12812, _u12811, _u12810, _u12809, _u12808, _u12807, _u12806)), _u12807)) )).
% 27.68/27.89 cnf(fact_UN__equiv__class__inject-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12806, _u12807, _u12808) | ~c_Equiv__Relations_Ocongruent(_u12806, tc_fun(_u12809, tc_HOL_Obool), _u12808, _u12810) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12811), _u12810) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12812), _u12810)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12811), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12812), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ( _u12811 = _u12812) | hBOOL(hAPP(hAPP(c_member(_u12806), skolem256(_u12812, _u12811, _u12810, _u12809, _u12808, _u12807, _u12806)), _u12807)) )).
% 27.68/27.89 cnf(fact_UN__equiv__class__inject-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u12806, _u12807, _u12808) | ~c_Equiv__Relations_Ocongruent(_u12806, tc_fun(_u12809, tc_HOL_Obool), _u12808, _u12810) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12811), _u12810) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12812), _u12810)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12811), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12812), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ( _u12811 = _u12812) | ( hAPP(_u12810, skolem255(_u12812, _u12811, _u12810, _u12809, _u12808, _u12807, _u12806)) = hAPP(_u12810, skolem256(_u12812, _u12811, _u12810, _u12809, _u12808, _u12807, _u12806))) )).
% 27.68/27.89 cnf(fact_UN__equiv__class__inject-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u12806, _u12807, _u12808) | ~c_Equiv__Relations_Ocongruent(_u12806, tc_fun(_u12809, tc_HOL_Obool), _u12808, _u12810) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12811), _u12810) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12812), _u12810)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12811), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12812), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ( _u12811 = _u12812) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12806, _u12806)), hAPP(hAPP(c_Product__Type_OPair(_u12806, _u12806), skolem255(_u12812, _u12811, _u12810, _u12809, _u12808, _u12807, _u12806)), skolem256(_u12812, _u12811, _u12810, _u12809, _u12808, _u12807, _u12806))), _u12808)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__equiv__class__type2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__equiv__class__type2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12815, _u12816, _u12817) | ~c_Equiv__Relations_Oequiv(_u12818, _u12819, _u12820) | ~c_Equiv__Relations_Ocongruent2(_u12815, _u12818, tc_fun(_u12821, tc_HOL_Obool), _u12817, _u12820, _u12822) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12815, tc_HOL_Obool)), _u12823), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12815), _u12816), _u12817))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12818, tc_HOL_Obool)), _u12824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12818), _u12819), _u12820))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12821, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12815, tc_fun(_u12821, tc_HOL_Obool)), _u12823), hAPP(hAPP(c_COMBB(tc_fun(_u12818, tc_fun(_u12821, tc_HOL_Obool)), tc_fun(_u12821, tc_HOL_Obool), _u12815), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12818, tc_fun(_u12821, tc_HOL_Obool)), _u12824)), _u12822))), _u12825)) | hBOOL(hAPP(hAPP(c_member(_u12815), skolem257(_u12825, _u12824, _u12823, _u12822, _u12821, _u12820, _u12819, _u12818, _u12817, _u12816, _u12815)), _u12816)) )).
% 27.68/27.89 cnf(fact_UN__equiv__class__type2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12815, _u12816, _u12817) | ~c_Equiv__Relations_Oequiv(_u12818, _u12819, _u12820) | ~c_Equiv__Relations_Ocongruent2(_u12815, _u12818, tc_fun(_u12821, tc_HOL_Obool), _u12817, _u12820, _u12822) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12815, tc_HOL_Obool)), _u12823), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12815), _u12816), _u12817))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12818, tc_HOL_Obool)), _u12824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12818), _u12819), _u12820))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12821, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12815, tc_fun(_u12821, tc_HOL_Obool)), _u12823), hAPP(hAPP(c_COMBB(tc_fun(_u12818, tc_fun(_u12821, tc_HOL_Obool)), tc_fun(_u12821, tc_HOL_Obool), _u12815), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12818, tc_fun(_u12821, tc_HOL_Obool)), _u12824)), _u12822))), _u12825)) | hBOOL(hAPP(hAPP(c_member(_u12818), skolem258(_u12825, _u12824, _u12823, _u12822, _u12821, _u12820, _u12819, _u12818, _u12817, _u12816, _u12815)), _u12819)) )).
% 27.68/27.89 cnf(fact_UN__equiv__class__type2-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u12815, _u12816, _u12817) | ~c_Equiv__Relations_Oequiv(_u12818, _u12819, _u12820) | ~c_Equiv__Relations_Ocongruent2(_u12815, _u12818, tc_fun(_u12821, tc_HOL_Obool), _u12817, _u12820, _u12822) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12815, tc_HOL_Obool)), _u12823), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12815), _u12816), _u12817))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12818, tc_HOL_Obool)), _u12824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12818), _u12819), _u12820))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12821, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12815, tc_fun(_u12821, tc_HOL_Obool)), _u12823), hAPP(hAPP(c_COMBB(tc_fun(_u12818, tc_fun(_u12821, tc_HOL_Obool)), tc_fun(_u12821, tc_HOL_Obool), _u12815), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12818, tc_fun(_u12821, tc_HOL_Obool)), _u12824)), _u12822))), _u12825)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12821, tc_HOL_Obool)), hAPP(hAPP(_u12822, skolem257(_u12825, _u12824, _u12823, _u12822, _u12821, _u12820, _u12819, _u12818, _u12817, _u12816, _u12815)), skolem258(_u12825, _u12824, _u12823, _u12822, _u12821, _u12820, _u12819, _u12818, _u12817, _u12816, _u12815))), _u12825)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_UN__equiv__class__type ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_UN__equiv__class__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12827, _u12828, _u12829) | ~c_Equiv__Relations_Ocongruent(_u12827, tc_fun(_u12830, tc_HOL_Obool), _u12829, _u12831) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12827, tc_HOL_Obool)), _u12832), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12827), _u12828), _u12829))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12830, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12827, tc_fun(_u12830, tc_HOL_Obool)), _u12832), _u12831)), _u12833)) | hBOOL(hAPP(hAPP(c_member(_u12827), skolem259(_u12833, _u12832, _u12831, _u12830, _u12829, _u12828, _u12827)), _u12828)) )).
% 27.68/27.89 cnf(fact_UN__equiv__class__type-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12827, _u12828, _u12829) | ~c_Equiv__Relations_Ocongruent(_u12827, tc_fun(_u12830, tc_HOL_Obool), _u12829, _u12831) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12827, tc_HOL_Obool)), _u12832), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12827), _u12828), _u12829))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12830, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12827, tc_fun(_u12830, tc_HOL_Obool)), _u12832), _u12831)), _u12833)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12830, tc_HOL_Obool)), hAPP(_u12831, skolem259(_u12833, _u12832, _u12831, _u12830, _u12829, _u12828, _u12827))), _u12833)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__nat__def ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12840, tc_fun(_u12842, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u12840, tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_fun(_u12842, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12842, tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_fun(_u12842, tc_HOL_Obool)), _u12840), c_COMBC(_u12842, tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12842, tc_prod(_u12840, _u12842)), tc_fun(_u12842, tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool)), _u12840), hAPP(c_COMBB(tc_prod(_u12840, _u12842), tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool), _u12842), c_member(tc_prod(_u12840, _u12842)))), c_Product__Type_OPair(_u12840, _u12842)))), _u12844)), hAPP(hAPP(c_COMBC(_u12840, tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_fun(_u12842, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12842, tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_fun(_u12842, tc_HOL_Obool)), _u12840), c_COMBC(_u12842, tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12842, tc_prod(_u12840, _u12842)), tc_fun(_u12842, tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool)), _u12840), hAPP(c_COMBB(tc_prod(_u12840, _u12842), tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool), _u12842), c_member(tc_prod(_u12840, _u12842)))), c_Product__Type_OPair(_u12840, _u12842)))), _u12846)), _u12848), _u12850)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12840, _u12842)), hAPP(hAPP(c_Product__Type_OPair(_u12840, _u12842), _u12848), _u12850)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool)), _u12844), _u12846))) )).
% 27.68/27.89 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12841, _u12843)), hAPP(hAPP(c_Product__Type_OPair(_u12841, _u12843), _u12849), _u12851)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool)), _u12845), _u12847))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12841, tc_fun(_u12843, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u12841, tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_fun(_u12843, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12843, tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_fun(_u12843, tc_HOL_Obool)), _u12841), c_COMBC(_u12843, tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12843, tc_prod(_u12841, _u12843)), tc_fun(_u12843, tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool)), _u12841), hAPP(c_COMBB(tc_prod(_u12841, _u12843), tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool), _u12843), c_member(tc_prod(_u12841, _u12843)))), c_Product__Type_OPair(_u12841, _u12843)))), _u12845)), hAPP(hAPP(c_COMBC(_u12841, tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_fun(_u12843, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12843, tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_fun(_u12843, tc_HOL_Obool)), _u12841), c_COMBC(_u12843, tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12843, tc_prod(_u12841, _u12843)), tc_fun(_u12843, tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool)), _u12841), hAPP(c_COMBB(tc_prod(_u12841, _u12843), tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool), _u12843), c_member(tc_prod(_u12841, _u12843)))), c_Product__Type_OPair(_u12841, _u12843)))), _u12847)), _u12849), _u12851)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_card_Ounion__inter__neutral ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_card_Ounion__inter__neutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12853), _u12854)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12853), _u12855)) | ( hAPP(c_Finite__Set_Ocard(_u12853), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12853, tc_HOL_Obool)), _u12854), _u12855)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12853), _u12854)), hAPP(c_Finite__Set_Ocard(_u12853), _u12855))) | hBOOL(hAPP(hAPP(c_member(_u12853), skolem260(_u12855, _u12854, _u12853)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12853, tc_HOL_Obool)), _u12854), _u12855))) )).
% 27.68/27.89 cnf(fact_card_Ounion__inter__neutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12853), _u12854)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12853), _u12855)) | ( hAPP(c_Finite__Set_Ocard(_u12853), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12853, tc_HOL_Obool)), _u12854), _u12855)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12853), _u12854)), hAPP(c_Finite__Set_Ocard(_u12853), _u12855))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_setprod__Un ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_setprod__Un-1, axiom, ( ~class_Fields_Ofield(_u12857) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), _u12859)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), _u12860)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12857), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), _u12859)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), _u12860))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860)))) | hBOOL(hAPP(hAPP(c_member(_u12858), skolem261(_u12861, _u12860, _u12859, _u12858, _u12857)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860))) )).
% 27.68/27.89 cnf(fact_setprod__Un-2, axiom, ( ~class_Fields_Ofield(_u12857) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), _u12859)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), _u12860)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12857), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), _u12859)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), _u12860))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860)))) | ( hAPP(_u12861, skolem261(_u12861, _u12860, _u12859, _u12858, _u12857)) = c_Groups_Ozero__class_Ozero(_u12857)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_Integ__def ( axiom ) converted to clauses:
% 27.68/27.89 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)) )).
% 27.68/27.89
% 27.68/27.89 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 27.68/27.89 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12862, tc_fun(_u12863, tc_HOL_Obool))), _u12864), _u12865), _u12866), _u12867)) | hBOOL(hAPP(hAPP(_u12864, _u12866), _u12867)) )).
% 27.68/27.89 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12862, tc_fun(_u12863, tc_HOL_Obool))), _u12864), _u12865), _u12866), _u12867)) | hBOOL(hAPP(hAPP(_u12865, _u12866), _u12867)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12868, _u12869), _u12870)) | ~hBOOL(hAPP(hAPP(_u12871, _u12869), _u12870)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12872, tc_fun(_u12873, tc_HOL_Obool))), _u12868), _u12871), _u12869), _u12870)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u12877, _u12878), _u12879)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12874, tc_fun(_u12875, tc_HOL_Obool))), _u12876), _u12877), _u12878), _u12879)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u12882, _u12884), _u12885)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12880, tc_fun(_u12881, tc_HOL_Obool))), _u12882), _u12883), _u12884), _u12885)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Rep__Integ ( axiom ) converted to clauses:
% 27.68/27.90 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, _u12886)), c_Int_OInteg)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_type__definition__Integ ( axiom ) converted to clauses:
% 27.68/27.90 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) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setprod_Ounion__inter__neutral ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setprod_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12888) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12889), _u12890)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12889), _u12891)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12889, _u12888), _u12892), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12889, tc_HOL_Obool)), _u12890), _u12891)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12888), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12889, _u12888), _u12892), _u12890)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12889, _u12888), _u12892), _u12891))) | hBOOL(hAPP(hAPP(c_member(_u12889), skolem262(_u12892, _u12891, _u12890, _u12889, _u12888)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12889, tc_HOL_Obool)), _u12890), _u12891))) )).
% 27.68/27.90 cnf(fact_setprod_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12888) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12889), _u12890)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12889), _u12891)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12889, _u12888), _u12892), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12889, tc_HOL_Obool)), _u12890), _u12891)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12888), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12889, _u12888), _u12892), _u12890)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12889, _u12888), _u12892), _u12891))) | ( hAPP(_u12892, skolem262(_u12892, _u12891, _u12890, _u12889, _u12888)) != c_Groups_Oone__class_Oone(_u12888)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setprod__Un__one ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setprod__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12894) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12895), _u12896)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12895), _u12897)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12895, _u12894), _u12898), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12895, tc_HOL_Obool)), _u12896), _u12897)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12894), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12895, _u12894), _u12898), _u12896)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12895, _u12894), _u12898), _u12897))) | hBOOL(hAPP(hAPP(c_member(_u12895), skolem263(_u12898, _u12897, _u12896, _u12895, _u12894)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12895, tc_HOL_Obool)), _u12896), _u12897))) )).
% 27.68/27.90 cnf(fact_setprod__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12894) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12895), _u12896)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12895), _u12897)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12895, _u12894), _u12898), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12895, tc_HOL_Obool)), _u12896), _u12897)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12894), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12895, _u12894), _u12898), _u12896)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12895, _u12894), _u12898), _u12897))) | ( hAPP(_u12898, skolem263(_u12898, _u12897, _u12896, _u12895, _u12894)) != c_Groups_Oone__class_Oone(_u12894)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum__Un__zero ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum__Un__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12900) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12901), _u12902)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12901), _u12903)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12901, _u12900), _u12904), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12901, tc_HOL_Obool)), _u12902), _u12903)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12900), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12901, _u12900), _u12904), _u12902)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12901, _u12900), _u12904), _u12903))) | hBOOL(hAPP(hAPP(c_member(_u12901), skolem264(_u12904, _u12903, _u12902, _u12901, _u12900)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12901, tc_HOL_Obool)), _u12902), _u12903))) )).
% 27.68/27.90 cnf(fact_setsum__Un__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12900) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12901), _u12902)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12901), _u12903)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12901, _u12900), _u12904), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12901, tc_HOL_Obool)), _u12902), _u12903)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12900), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12901, _u12900), _u12904), _u12902)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12901, _u12900), _u12904), _u12903))) | ( hAPP(_u12904, skolem264(_u12904, _u12903, _u12902, _u12901, _u12900)) != c_Groups_Ozero__class_Ozero(_u12900)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum_Ounion__inter__neutral ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12906) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12907), _u12908)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12907), _u12909)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12907, _u12906), _u12910), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12907, tc_HOL_Obool)), _u12908), _u12909)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12906), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12907, _u12906), _u12910), _u12908)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12907, _u12906), _u12910), _u12909))) | hBOOL(hAPP(hAPP(c_member(_u12907), skolem265(_u12910, _u12909, _u12908, _u12907, _u12906)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12907, tc_HOL_Obool)), _u12908), _u12909))) )).
% 27.68/27.90 cnf(fact_setsum_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12906) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12907), _u12908)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12907), _u12909)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12907, _u12906), _u12910), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12907, tc_HOL_Obool)), _u12908), _u12909)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12906), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12907, _u12906), _u12910), _u12908)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12907, _u12906), _u12910), _u12909))) | ( hAPP(_u12910, skolem265(_u12910, _u12909, _u12908, _u12907, _u12906)) != c_Groups_Ozero__class_Ozero(_u12906)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__fin_Oremove ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u12911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12911), _u12912)) | ~hBOOL(hAPP(hAPP(c_member(_u12911), _u12913), _u12912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12911, tc_HOL_Obool)), _u12912), hAPP(hAPP(c_Set_Oinsert(_u12911), _u12913), c_Orderings_Obot__class_Obot(tc_fun(_u12911, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u12911, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12911, _u12912) = _u12913) )).
% 27.68/27.90 cnf(fact_Inf__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u12911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12911), _u12912)) | ~hBOOL(hAPP(hAPP(c_member(_u12911), _u12913), _u12912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12911, tc_HOL_Obool)), _u12912), hAPP(hAPP(c_Set_Oinsert(_u12911), _u12913), c_Orderings_Obot__class_Obot(tc_fun(_u12911, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u12911, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12911, _u12912) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12911), _u12913), c_Big__Operators_Olattice__class_OInf__fin(_u12911, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12911, tc_HOL_Obool)), _u12912), hAPP(hAPP(c_Set_Oinsert(_u12911), _u12913), c_Orderings_Obot__class_Obot(tc_fun(_u12911, tc_HOL_Obool))))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_equiv__imp__dvd__card ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_equiv__imp__dvd__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12915), _u12916)) | ~c_Equiv__Relations_Oequiv(_u12915, _u12916, _u12917) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u12918), hAPP(c_Finite__Set_Ocard(_u12915), _u12916))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12915, tc_HOL_Obool)), skolem266(_u12918, _u12917, _u12916, _u12915)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12915), _u12916), _u12917))) )).
% 27.68/27.90 cnf(fact_equiv__imp__dvd__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12915), _u12916)) | ~c_Equiv__Relations_Oequiv(_u12915, _u12916, _u12917) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u12918), hAPP(c_Finite__Set_Ocard(_u12915), _u12916))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u12918), hAPP(c_Finite__Set_Ocard(_u12915), skolem266(_u12918, _u12917, _u12916, _u12915)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__fin_Osingleton ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u12919) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12919, hAPP(hAPP(c_Set_Oinsert(_u12919), _u12920), c_Orderings_Obot__class_Obot(tc_fun(_u12919, tc_HOL_Obool)))) = _u12920) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_sup__Inf__absorb ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_sup__Inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u12921) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12921), _u12922)) | ~hBOOL(hAPP(hAPP(c_member(_u12921), _u12923), _u12922)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12921), _u12923), c_Big__Operators_Olattice__class_OInf__fin(_u12921, _u12922)) = _u12923) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__fin_Oin__idem ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u12924) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12924), _u12925)) | ~hBOOL(hAPP(hAPP(c_member(_u12924), _u12926), _u12925)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12924), _u12926), c_Big__Operators_Olattice__class_OInf__fin(_u12924, _u12925)) = c_Big__Operators_Olattice__class_OInf__fin(_u12924, _u12925)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u12927) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12927), _u12928)) | ( _u12928 = c_Orderings_Obot__class_Obot(tc_fun(_u12927, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12927, hAPP(hAPP(c_Set_Oinsert(_u12927), _u12929), _u12928)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12927), _u12929), c_Big__Operators_Olattice__class_OInf__fin(_u12927, _u12928))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__fin_Osubset__idem ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u12930) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12930), _u12931)) | ( _u12932 = c_Orderings_Obot__class_Obot(tc_fun(_u12930, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12930, tc_HOL_Obool)), _u12932), _u12931)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12930), c_Big__Operators_Olattice__class_OInf__fin(_u12930, _u12932)), c_Big__Operators_Olattice__class_OInf__fin(_u12930, _u12931)) = c_Big__Operators_Olattice__class_OInf__fin(_u12930, _u12931)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__fin_Ounion__idem ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u12933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12933), _u12934)) | ( _u12934 = c_Orderings_Obot__class_Obot(tc_fun(_u12933, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12933), _u12935)) | ( _u12935 = c_Orderings_Obot__class_Obot(tc_fun(_u12933, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12933, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12933, tc_HOL_Obool)), _u12934), _u12935)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12933), c_Big__Operators_Olattice__class_OInf__fin(_u12933, _u12934)), c_Big__Operators_Olattice__class_OInf__fin(_u12933, _u12935))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__le__Sup ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__le__Sup-1, axiom, ( ~class_Lattices_Olattice(_u12936) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12936), _u12937)) | ( _u12937 = c_Orderings_Obot__class_Obot(tc_fun(_u12936, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12936), c_Big__Operators_Olattice__class_OInf__fin(_u12936, _u12937)), c_Big__Operators_Olattice__class_OSup__fin(_u12936, _u12937))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__fin_Oinsert ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u12938) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12938), _u12939)) | hBOOL(hAPP(hAPP(c_member(_u12938), _u12940), _u12939)) | ( _u12939 = c_Orderings_Obot__class_Obot(tc_fun(_u12938, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12938, hAPP(hAPP(c_Set_Oinsert(_u12938), _u12940), _u12939)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12938), _u12940), c_Big__Operators_Olattice__class_OInf__fin(_u12938, _u12939))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u12941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12941), _u12942)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12941, tc_HOL_Obool)), _u12942), hAPP(hAPP(c_Set_Oinsert(_u12941), _u12943), c_Orderings_Obot__class_Obot(tc_fun(_u12941, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u12941, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12941, hAPP(hAPP(c_Set_Oinsert(_u12941), _u12943), _u12942)) = _u12943) )).
% 27.68/27.90 cnf(fact_Inf__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u12941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12941), _u12942)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12941, tc_HOL_Obool)), _u12942), hAPP(hAPP(c_Set_Oinsert(_u12941), _u12943), c_Orderings_Obot__class_Obot(tc_fun(_u12941, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u12941, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12941, hAPP(hAPP(c_Set_Oinsert(_u12941), _u12943), _u12942)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12941), _u12943), c_Big__Operators_Olattice__class_OInf__fin(_u12941, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12941, tc_HOL_Obool)), _u12942), hAPP(hAPP(c_Set_Oinsert(_u12941), _u12943), c_Orderings_Obot__class_Obot(tc_fun(_u12941, tc_HOL_Obool))))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u12944) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12944), _u12945)) | ( _u12945 = c_Orderings_Obot__class_Obot(tc_fun(_u12944, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12944), _u12946)) | ( _u12946 = c_Orderings_Obot__class_Obot(tc_fun(_u12944, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12944, tc_HOL_Obool)), _u12945), _u12946) != c_Orderings_Obot__class_Obot(tc_fun(_u12944, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12944, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12944, tc_HOL_Obool)), _u12945), _u12946)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12944), c_Big__Operators_Olattice__class_OInf__fin(_u12944, _u12945)), c_Big__Operators_Olattice__class_OInf__fin(_u12944, _u12946))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__fin_Ounion__inter ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u12947) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12947), _u12948)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12947), _u12949)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12947, tc_HOL_Obool)), _u12948), _u12949) = c_Orderings_Obot__class_Obot(tc_fun(_u12947, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12947), c_Big__Operators_Olattice__class_OInf__fin(_u12947, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12947, tc_HOL_Obool)), _u12948), _u12949))), c_Big__Operators_Olattice__class_OInf__fin(_u12947, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12947, tc_HOL_Obool)), _u12948), _u12949))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12947), c_Big__Operators_Olattice__class_OInf__fin(_u12947, _u12948)), c_Big__Operators_Olattice__class_OInf__fin(_u12947, _u12949))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__fin_Oclosed ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u12952) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12952), _u12953)) | ( _u12953 = c_Orderings_Obot__class_Obot(tc_fun(_u12952, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12952), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12952), skolem267(_u12953, _u12952)), skolem268(_u12953, _u12952))), hAPP(hAPP(c_Set_Oinsert(_u12952), skolem267(_u12953, _u12952)), hAPP(hAPP(c_Set_Oinsert(_u12952), skolem268(_u12953, _u12952)), c_Orderings_Obot__class_Obot(tc_fun(_u12952, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u12952), c_Big__Operators_Olattice__class_OInf__fin(_u12952, _u12953)), _u12953)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding__idem_Ounion__idem ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u12954, _u12955, _u12956, _u12957) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12954), _u12958)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12954), _u12959)) | ( hAPP(_u12957, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12954, tc_HOL_Obool)), _u12958), _u12959)) = hAPP(c_Fun_Ocomp(_u12955, _u12955, _u12955, hAPP(_u12957, _u12958)), hAPP(_u12957, _u12959))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_equivp__equiv ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_equivp__equiv-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12962, c_Orderings_Otop__class_Otop(tc_fun(_u12962, tc_HOL_Obool)), _u12964) | c_Equiv__Relations_Oequivp(_u12962, hAPP(hAPP(c_COMBC(_u12962, tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool), tc_fun(_u12962, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12962, tc_fun(tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool), tc_fun(_u12962, tc_HOL_Obool)), _u12962), c_COMBC(_u12962, tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12962, tc_prod(_u12962, _u12962)), tc_fun(_u12962, tc_fun(tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool), tc_HOL_Obool)), _u12962), hAPP(c_COMBB(tc_prod(_u12962, _u12962), tc_fun(tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool), tc_HOL_Obool), _u12962), c_member(tc_prod(_u12962, _u12962)))), c_Product__Type_OPair(_u12962, _u12962)))), _u12964)) )).
% 27.68/27.90 cnf(fact_equivp__equiv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u12963, hAPP(hAPP(c_COMBC(_u12963, tc_fun(tc_prod(_u12963, _u12963), tc_HOL_Obool), tc_fun(_u12963, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12963, tc_fun(tc_fun(tc_prod(_u12963, _u12963), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12963, _u12963), tc_HOL_Obool), tc_fun(_u12963, tc_HOL_Obool)), _u12963), c_COMBC(_u12963, tc_fun(tc_prod(_u12963, _u12963), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12963, tc_prod(_u12963, _u12963)), tc_fun(_u12963, tc_fun(tc_fun(tc_prod(_u12963, _u12963), tc_HOL_Obool), tc_HOL_Obool)), _u12963), hAPP(c_COMBB(tc_prod(_u12963, _u12963), tc_fun(tc_fun(tc_prod(_u12963, _u12963), tc_HOL_Obool), tc_HOL_Obool), _u12963), c_member(tc_prod(_u12963, _u12963)))), c_Product__Type_OPair(_u12963, _u12963)))), _u12965)) | c_Equiv__Relations_Oequiv(_u12963, c_Orderings_Otop__class_Otop(tc_fun(_u12963, tc_HOL_Obool)), _u12965) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_identity__equivp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_identity__equivp-1, axiom, ( c_Equiv__Relations_Oequivp(_u12966, c_fequal) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_equivp__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_equivp__def-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u12981, _u12983) | ~hBOOL(hAPP(hAPP(_u12983, _u12975), _u12973)) | ( hAPP(_u12983, _u12975) = hAPP(_u12983, _u12973)) )).
% 27.68/27.90 cnf(fact_equivp__def-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u12981, _u12983) | ( hAPP(_u12983, _u12976) != hAPP(_u12983, _u12974)) | hBOOL(hAPP(hAPP(_u12983, _u12976), _u12974)) )).
% 27.68/27.90 cnf(fact_equivp__def-3, axiom, ( c_Equiv__Relations_Oequivp(_u12982, _u12984) | hBOOL(hAPP(hAPP(_u12984, skolem269(_u12984)), skolem270(_u12984))) | ( hAPP(_u12984, skolem271(_u12984)) = hAPP(_u12984, skolem272(_u12984))) )).
% 27.68/27.90 cnf(fact_equivp__def-4, axiom, ( c_Equiv__Relations_Oequivp(_u12982, _u12984) | hBOOL(hAPP(hAPP(_u12984, skolem269(_u12984)), skolem270(_u12984))) | ~hBOOL(hAPP(hAPP(_u12984, skolem271(_u12984)), skolem272(_u12984))) )).
% 27.68/27.90 cnf(fact_equivp__def-5, axiom, ( c_Equiv__Relations_Oequivp(_u12982, _u12984) | ( hAPP(_u12984, skolem269(_u12984)) != hAPP(_u12984, skolem270(_u12984))) | ( hAPP(_u12984, skolem271(_u12984)) = hAPP(_u12984, skolem272(_u12984))) )).
% 27.68/27.90 cnf(fact_equivp__def-6, axiom, ( c_Equiv__Relations_Oequivp(_u12982, _u12984) | ( hAPP(_u12984, skolem269(_u12984)) != hAPP(_u12984, skolem270(_u12984))) | ~hBOOL(hAPP(hAPP(_u12984, skolem271(_u12984)), skolem272(_u12984))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_equivp__reflp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_equivp__reflp-1, axiom, ( hBOOL(hAPP(hAPP(_u12986, _u12987), _u12987)) | ~c_Equiv__Relations_Oequivp(_u12985, _u12986) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_equivp__symp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12989, _u12990), _u12991)) | hBOOL(hAPP(hAPP(_u12989, _u12991), _u12990)) | ~c_Equiv__Relations_Oequivp(_u12988, _u12989) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_equivp__transp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12993, _u12994), _u12995)) | ~hBOOL(hAPP(hAPP(_u12993, _u12995), _u12996)) | hBOOL(hAPP(hAPP(_u12993, _u12994), _u12996)) | ~c_Equiv__Relations_Oequivp(_u12992, _u12993) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding__idem_Oidem__comp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding__idem_Oidem__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u12998, _u12998, _u12998, hAPP(_u12999, _u13001)), hAPP(_u12999, _u13001)) = hAPP(_u12999, _u13001)) | ~c_Finite__Set_Ofolding__idem(_u12997, _u12998, _u12999, _u13000) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding__idem_Oidem__left__comp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding__idem_Oidem__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13003, _u13003, _u13006, hAPP(_u13004, _u13007)), hAPP(c_Fun_Ocomp(_u13003, _u13003, _u13006, hAPP(_u13004, _u13007)), _u13008)) = hAPP(c_Fun_Ocomp(_u13003, _u13003, _u13006, hAPP(_u13004, _u13007)), _u13008)) | ~c_Finite__Set_Ofolding__idem(_u13002, _u13003, _u13004, _u13005) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding__idem_Oin__comp__idem ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding__idem_Oin__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13009, _u13010, _u13011, _u13012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13009), _u13013)) | ~hBOOL(hAPP(hAPP(c_member(_u13009), _u13014), _u13013)) | ( hAPP(c_Fun_Ocomp(_u13010, _u13010, _u13010, hAPP(_u13012, _u13013)), hAPP(_u13011, _u13014)) = hAPP(_u13012, _u13013)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding__idem_Oinsert__idem ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13015, _u13016, _u13017, _u13018) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13015), _u13019)) | ( hAPP(_u13018, hAPP(hAPP(c_Set_Oinsert(_u13015), _u13020), _u13019)) = hAPP(c_Fun_Ocomp(_u13016, _u13016, _u13016, hAPP(_u13018, _u13019)), hAPP(_u13017, _u13020))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding__idem_Osubset__comp__idem ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding__idem_Osubset__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13021, _u13022, _u13023, _u13024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13021), _u13025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13021, tc_HOL_Obool)), _u13026), _u13025)) | ( hAPP(c_Fun_Ocomp(_u13022, _u13022, _u13022, hAPP(_u13024, _u13025)), hAPP(_u13024, _u13026)) = hAPP(_u13024, _u13025)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_card__quotient__disjoint ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_card__quotient__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13027), _u13028)) | ~c_Fun_Oinj__on(_u13027, tc_fun(tc_fun(_u13027, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13027, tc_fun(tc_prod(_u13027, _u13027), tc_HOL_Obool), tc_fun(tc_fun(_u13027, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13027, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u13027, _u13027), tc_HOL_Obool), tc_fun(tc_fun(_u13027, tc_HOL_Obool), tc_HOL_Obool)), _u13027), c_Equiv__Relations_Oquotient(_u13027)), hAPP(hAPP(c_COMBC(_u13027, tc_fun(_u13027, tc_HOL_Obool), tc_fun(_u13027, tc_HOL_Obool)), c_Set_Oinsert(_u13027)), c_Orderings_Obot__class_Obot(tc_fun(_u13027, tc_HOL_Obool))))), _u13029), _u13028) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u13027, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13027), _u13028), _u13029)) = hAPP(c_Finite__Set_Ocard(_u13027), _u13028)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__Un__disjoint ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13030) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13031), _u13032)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13031), _u13033)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13031, tc_HOL_Obool)), _u13032), _u13033) != c_Orderings_Obot__class_Obot(tc_fun(_u13031, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13030, _u13031, c_Groups_Otimes__class_Otimes(_u13030)), _u13034), c_Groups_Oone__class_Oone(_u13030)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13031, tc_HOL_Obool)), _u13032), _u13033)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13030), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13030, _u13031, c_Groups_Otimes__class_Otimes(_u13030)), _u13034), c_Groups_Oone__class_Oone(_u13030)), _u13032)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13030, _u13031, c_Groups_Otimes__class_Otimes(_u13030)), _u13034), c_Groups_Oone__class_Oone(_u13030)), _u13033))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__fin_Ohom__commute ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u13037) | ( hAPP(_u13038, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13037), skolem273(_u13039, _u13038, _u13037)), skolem274(_u13039, _u13038, _u13037))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13037), hAPP(_u13038, skolem273(_u13039, _u13038, _u13037))), hAPP(_u13038, skolem274(_u13039, _u13038, _u13037)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13037), _u13039)) | ( _u13039 = c_Orderings_Obot__class_Obot(tc_fun(_u13037, tc_HOL_Obool))) | ( hAPP(_u13038, c_Big__Operators_Olattice__class_OInf__fin(_u13037, _u13039)) = c_Big__Operators_Olattice__class_OInf__fin(_u13037, hAPP(c_Set_Oimage(_u13037, _u13037, _u13038), _u13039))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__empty-1, axiom, ( c_Fun_Oinj__on(_u13040, _u13041, _u13042, c_Orderings_Obot__class_Obot(tc_fun(_u13040, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__uminus ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__uminus-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u13043) | c_Fun_Oinj__on(_u13043, _u13043, c_Groups_Ouminus__class_Ouminus(_u13043), _u13044) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__contraD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__contraD-1, axiom, ( ~c_Fun_Oinj__on(_u13045, _u13046, _u13047, _u13048) | ( _u13049 = _u13050) | ~hBOOL(hAPP(hAPP(c_member(_u13045), _u13049), _u13048)) | ~hBOOL(hAPP(hAPP(c_member(_u13045), _u13050), _u13048)) | ( hAPP(_u13047, _u13049) != hAPP(_u13047, _u13050)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13051, _u13052, _u13053, _u13054) | ~hBOOL(hAPP(hAPP(c_member(_u13051), _u13055), _u13054)) | ~hBOOL(hAPP(hAPP(c_member(_u13051), _u13056), _u13054)) | ( hAPP(_u13053, _u13055) != hAPP(_u13053, _u13056)) | ( _u13055 = _u13056) )).
% 27.68/27.90 cnf(fact_inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13051, _u13052, _u13053, _u13054) | ~hBOOL(hAPP(hAPP(c_member(_u13051), _u13055), _u13054)) | ~hBOOL(hAPP(hAPP(c_member(_u13051), _u13056), _u13054)) | ( _u13055 != _u13056) | ( hAPP(_u13053, _u13055) = hAPP(_u13053, _u13056)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__onD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__onD-1, axiom, ( ~c_Fun_Oinj__on(_u13057, _u13058, _u13059, _u13060) | ( hAPP(_u13059, _u13061) != hAPP(_u13059, _u13062)) | ~hBOOL(hAPP(hAPP(c_member(_u13057), _u13061), _u13060)) | ~hBOOL(hAPP(hAPP(c_member(_u13057), _u13062), _u13060)) | ( _u13061 = _u13062) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_card__image ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_card__image-1, axiom, ( ~c_Fun_Oinj__on(_u13063, _u13064, _u13065, _u13066) | ( hAPP(c_Finite__Set_Ocard(_u13064), hAPP(c_Set_Oimage(_u13063, _u13064, _u13065), _u13066)) = hAPP(c_Finite__Set_Ocard(_u13063), _u13066)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__Un__image__eq__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__Un__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13067, _u13068, _u13069, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13067, tc_HOL_Obool)), _u13070), _u13071)) | ( hAPP(c_Set_Oimage(_u13067, _u13068, _u13069), _u13070) != hAPP(c_Set_Oimage(_u13067, _u13068, _u13069), _u13071)) | ( _u13070 = _u13071) )).
% 27.68/27.90 cnf(fact_inj__on__Un__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13067, _u13068, _u13069, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13067, tc_HOL_Obool)), _u13070), _u13071)) | ( _u13070 != _u13071) | ( hAPP(c_Set_Oimage(_u13067, _u13068, _u13069), _u13070) = hAPP(c_Set_Oimage(_u13067, _u13068, _u13069), _u13071)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_comp__inj__on__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_comp__inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13072, _u13073, _u13074, _u13075) | ~c_Fun_Oinj__on(_u13073, _u13076, _u13077, hAPP(c_Set_Oimage(_u13072, _u13073, _u13074), _u13075)) | c_Fun_Oinj__on(_u13072, _u13076, hAPP(c_Fun_Ocomp(_u13073, _u13076, _u13072, _u13077), _u13074), _u13075) )).
% 27.68/27.90 cnf(fact_comp__inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13072, _u13073, _u13074, _u13075) | ~c_Fun_Oinj__on(_u13072, _u13076, hAPP(c_Fun_Ocomp(_u13073, _u13076, _u13072, _u13077), _u13074), _u13075) | c_Fun_Oinj__on(_u13073, _u13076, _u13077, hAPP(c_Set_Oimage(_u13072, _u13073, _u13074), _u13075)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_comp__inj__on ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_comp__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u13078, _u13079, _u13080, _u13081) | ~c_Fun_Oinj__on(_u13079, _u13082, _u13083, hAPP(c_Set_Oimage(_u13078, _u13079, _u13080), _u13081)) | c_Fun_Oinj__on(_u13078, _u13082, hAPP(c_Fun_Ocomp(_u13079, _u13082, _u13078, _u13083), _u13080), _u13081) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__imageI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__imageI-1, axiom, ( ~c_Fun_Oinj__on(_u13084, _u13085, hAPP(c_Fun_Ocomp(_u13086, _u13085, _u13084, _u13087), _u13088), _u13089) | c_Fun_Oinj__on(_u13086, _u13085, _u13087, hAPP(c_Set_Oimage(_u13084, _u13086, _u13088), _u13089)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__imageD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__imageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13090), hAPP(c_Set_Oimage(_u13091, _u13090, _u13092), _u13093))) | ~c_Fun_Oinj__on(_u13091, _u13090, _u13092, _u13093) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13091), _u13093)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_subset__inj__on ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_subset__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u13094, _u13095, _u13096, _u13097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13094, tc_HOL_Obool)), _u13098), _u13097)) | c_Fun_Oinj__on(_u13094, _u13095, _u13096, _u13098) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__image__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__image__empty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13099, _u13100, _u13101), _u13102), _u13103), c_Orderings_Obot__class_Obot(tc_fun(_u13100, tc_HOL_Obool))) = _u13103) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__id2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__id2-1, axiom, ( c_Fun_Oinj__on(_u13104, _u13104, c_COMBI(_u13104), _u13105) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__def-1, axiom, ( ~c_Fun_Oinj__on(_u13114, _u13116, _u13118, _u13120) | ~hBOOL(hAPP(hAPP(c_member(_u13114), _u13107), _u13120)) | ~hBOOL(hAPP(hAPP(c_member(_u13114), _u13106), _u13120)) | ( hAPP(_u13118, _u13107) != hAPP(_u13118, _u13106)) | ( _u13107 = _u13106) )).
% 27.68/27.90 cnf(fact_inj__on__def-2, axiom, ( c_Fun_Oinj__on(_u13115, _u13117, _u13119, _u13121) | hBOOL(hAPP(hAPP(c_member(_u13115), skolem275(_u13121, _u13119, _u13117, _u13115)), _u13121)) )).
% 27.68/27.90 cnf(fact_inj__on__def-3, axiom, ( c_Fun_Oinj__on(_u13115, _u13117, _u13119, _u13121) | hBOOL(hAPP(hAPP(c_member(_u13115), skolem276(_u13121, _u13119, _u13117, _u13115)), _u13121)) )).
% 27.68/27.90 cnf(fact_inj__on__def-4, axiom, ( c_Fun_Oinj__on(_u13115, _u13117, _u13119, _u13121) | ( hAPP(_u13119, skolem275(_u13121, _u13119, _u13117, _u13115)) = hAPP(_u13119, skolem276(_u13121, _u13119, _u13117, _u13115))) )).
% 27.68/27.90 cnf(fact_inj__on__def-5, axiom, ( c_Fun_Oinj__on(_u13115, _u13117, _u13119, _u13121) | ( skolem275(_u13121, _u13119, _u13117, _u13115) != skolem276(_u13121, _u13119, _u13117, _u13115)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__diff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__diff-1, axiom, ( ~c_Fun_Oinj__on(_u13122, _u13123, _u13124, _u13125) | c_Fun_Oinj__on(_u13122, _u13123, _u13124, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13122, tc_HOL_Obool)), _u13125), _u13126)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__imageI2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__imageI2-1, axiom, ( ~c_Fun_Oinj__on(_u13127, _u13128, hAPP(c_Fun_Ocomp(_u13129, _u13128, _u13127, _u13130), _u13131), _u13132) | c_Fun_Oinj__on(_u13127, _u13129, _u13131, _u13132) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__image__reindex ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__image__reindex-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13133) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13134), _u13135)) | ~c_Fun_Oinj__on(_u13134, _u13136, _u13137, _u13135) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13133, _u13136, c_Groups_Otimes__class_Otimes(_u13133)), _u13138), _u13139), hAPP(c_Set_Oimage(_u13134, _u13136, _u13137), _u13135)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13133, _u13134, c_Groups_Otimes__class_Otimes(_u13133)), hAPP(c_Fun_Ocomp(_u13136, _u13133, _u13134, _u13138), _u13137)), _u13139), _u13135)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__image__eq__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13140, _u13141, _u13142, c_Orderings_Otop__class_Otop(tc_fun(_u13140, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13140, _u13141, _u13142), _u13143) != hAPP(c_Set_Oimage(_u13140, _u13141, _u13142), _u13144)) | ( _u13143 = _u13144) )).
% 27.68/27.90 cnf(fact_inj__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13140, _u13141, _u13142, c_Orderings_Otop__class_Otop(tc_fun(_u13140, tc_HOL_Obool))) | ( _u13143 != _u13144) | ( hAPP(c_Set_Oimage(_u13140, _u13141, _u13142), _u13143) = hAPP(c_Set_Oimage(_u13140, _u13141, _u13142), _u13144)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__eq-1, axiom, ( ~c_Fun_Oinj__on(_u13145, _u13146, _u13147, c_Orderings_Otop__class_Otop(tc_fun(_u13145, tc_HOL_Obool))) | ( hAPP(_u13147, _u13148) != hAPP(_u13147, _u13149)) | ( _u13148 = _u13149) )).
% 27.68/27.90 cnf(fact_inj__eq-2, axiom, ( ~c_Fun_Oinj__on(_u13145, _u13146, _u13147, c_Orderings_Otop__class_Otop(tc_fun(_u13145, tc_HOL_Obool))) | ( _u13148 != _u13149) | ( hAPP(_u13147, _u13148) = hAPP(_u13147, _u13149)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_injD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_injD-1, axiom, ( ( hAPP(_u13152, _u13153) != hAPP(_u13152, _u13154)) | ( _u13153 = _u13154) | ~c_Fun_Oinj__on(_u13150, _u13151, _u13152, c_Orderings_Otop__class_Otop(tc_fun(_u13150, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__fun ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__fun-1, axiom, ( ~c_Fun_Oinj__on(_u13155, _u13156, _u13157, c_Orderings_Otop__class_Otop(tc_fun(_u13155, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13155, tc_fun(_u13158, _u13156), hAPP(hAPP(c_COMBB(_u13156, tc_fun(_u13158, _u13156), _u13155), c_COMBK(_u13156, _u13158)), _u13157), c_Orderings_Otop__class_Otop(tc_fun(_u13155, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__comp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__comp-1, axiom, ( ~c_Fun_Oinj__on(_u13159, _u13160, _u13161, c_Orderings_Otop__class_Otop(tc_fun(_u13159, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13162, _u13159, _u13163, c_Orderings_Otop__class_Otop(tc_fun(_u13162, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13162, _u13160, hAPP(c_Fun_Ocomp(_u13159, _u13160, _u13162, _u13161), _u13163), c_Orderings_Otop__class_Otop(tc_fun(_u13162, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__strict__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__strict__subset-1, axiom, ( ~c_Fun_Oinj__on(_u13164, _u13165, _u13166, _u13167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u13164, tc_HOL_Obool)), _u13168), _u13167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u13165, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13164, _u13165, _u13166), _u13168)), hAPP(c_Set_Oimage(_u13164, _u13165, _u13166), _u13167))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__Int ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__Int-1, axiom, ( ~c_Fun_Oinj__on(_u13169, _u13170, _u13171, _u13172) | ~c_Fun_Oinj__on(_u13169, _u13170, _u13171, _u13173) | c_Fun_Oinj__on(_u13169, _u13170, _u13171, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13169, tc_HOL_Obool)), _u13172), _u13173)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_range__ex1__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_range__ex1__eq-1, axiom, ( ~c_Fun_Oinj__on(_u13178, _u13179, _u13180, c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13179), _u13181), hAPP(c_Set_Oimage(_u13178, _u13179, _u13180), c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))))) | ( _u13181 = hAPP(_u13180, skolem277(_u13181, _u13180, _u13179, _u13178))) )).
% 27.68/27.90 cnf(fact_range__ex1__eq-2, axiom, ( ~c_Fun_Oinj__on(_u13178, _u13179, _u13180, c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13179), _u13181), hAPP(c_Set_Oimage(_u13178, _u13179, _u13180), c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))))) | ( _u13181 != hAPP(_u13180, _u13174)) | ( _u13174 = skolem277(_u13181, _u13180, _u13179, _u13178)) )).
% 27.68/27.90 cnf(fact_range__ex1__eq-3, axiom, ( ~c_Fun_Oinj__on(_u13178, _u13179, _u13180, c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13179), _u13181), hAPP(c_Set_Oimage(_u13178, _u13179, _u13180), c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))))) | ( _u13181 != hAPP(_u13180, _u13177)) | ( _u13181 = hAPP(_u13180, skolem278(_u13181, _u13180, _u13179, _u13178, _u13177))) )).
% 27.68/27.90 cnf(fact_range__ex1__eq-4, axiom, ( ~c_Fun_Oinj__on(_u13178, _u13179, _u13180, c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13179), _u13181), hAPP(c_Set_Oimage(_u13178, _u13179, _u13180), c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))))) | ( _u13181 != hAPP(_u13180, _u13177)) | ( skolem278(_u13181, _u13180, _u13179, _u13178, _u13177) != _u13177) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__image__mem__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__image__mem__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13182, _u13183, _u13184, c_Orderings_Otop__class_Otop(tc_fun(_u13182, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13183), hAPP(_u13184, _u13185)), hAPP(c_Set_Oimage(_u13182, _u13183, _u13184), _u13186))) | hBOOL(hAPP(hAPP(c_member(_u13182), _u13185), _u13186)) )).
% 27.68/27.90 cnf(fact_inj__image__mem__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13182, _u13183, _u13184, c_Orderings_Otop__class_Otop(tc_fun(_u13182, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13182), _u13185), _u13186)) | hBOOL(hAPP(hAPP(c_member(_u13183), hAPP(_u13184, _u13185)), hAPP(c_Set_Oimage(_u13182, _u13183, _u13184), _u13186))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding__image__simple_Oeq__fold__g ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding__image__simple_Oeq__fold__g-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u13187, _u13188, _u13189, _u13190, _u13191, _u13192) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13188), _u13193)) | ( hAPP(_u13192, _u13193) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13187, _u13188, _u13189), _u13191), _u13190), _u13193)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__iff__surj ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__iff__surj-1, axiom, ( ( _u13198 = c_Orderings_Obot__class_Obot(tc_fun(_u13199, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13199, _u13200, _u13194, _u13198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13200, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13199, _u13200, _u13194), _u13198)), _u13201)) | ( hAPP(c_Set_Oimage(_u13200, _u13199, skolem279(_u13201, _u13200, _u13199, _u13198)), _u13201) = _u13198) )).
% 27.68/27.90 cnf(fact_inj__on__iff__surj-2, axiom, ( ( _u13198 = c_Orderings_Obot__class_Obot(tc_fun(_u13199, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13200, _u13199, _u13196), _u13201) != _u13198) | c_Fun_Oinj__on(_u13199, _u13200, skolem280(_u13201, _u13200, _u13199, _u13198), _u13198) )).
% 27.68/27.90 cnf(fact_inj__on__iff__surj-3, axiom, ( ( _u13198 = c_Orderings_Obot__class_Obot(tc_fun(_u13199, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13200, _u13199, _u13196), _u13201) != _u13198) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13200, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13199, _u13200, skolem280(_u13201, _u13200, _u13199, _u13198)), _u13198)), _u13201)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_endo__inj__surj ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_endo__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13202), _u13203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13202, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13202, _u13202, _u13204), _u13203)), _u13203)) | ~c_Fun_Oinj__on(_u13202, _u13202, _u13204, _u13203) | ( hAPP(c_Set_Oimage(_u13202, _u13202, _u13204), _u13203) = _u13203) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__surj__inj ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13205), _u13206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13205, tc_HOL_Obool)), _u13206), hAPP(c_Set_Oimage(_u13205, _u13205, _u13207), _u13206))) | c_Fun_Oinj__on(_u13205, _u13205, _u13207, _u13206) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__UNIV__surj__inj ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__UNIV__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13208), c_Orderings_Otop__class_Otop(tc_fun(_u13208, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u13208, _u13208, _u13209), c_Orderings_Otop__class_Otop(tc_fun(_u13208, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13208, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13208, _u13208, _u13209, c_Orderings_Otop__class_Otop(tc_fun(_u13208, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__UNIV__inj__surj ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__UNIV__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13210), c_Orderings_Otop__class_Otop(tc_fun(_u13210, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u13210, _u13210, _u13211, c_Orderings_Otop__class_Otop(tc_fun(_u13210, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13210, _u13210, _u13211), c_Orderings_Otop__class_Otop(tc_fun(_u13210, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13210, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__image__subset__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__image__subset__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13212, _u13213, _u13214, c_Orderings_Otop__class_Otop(tc_fun(_u13212, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13213, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13212, _u13213, _u13214), _u13215)), hAPP(c_Set_Oimage(_u13212, _u13213, _u13214), _u13216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13212, tc_HOL_Obool)), _u13215), _u13216)) )).
% 27.68/27.90 cnf(fact_inj__image__subset__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13212, _u13213, _u13214, c_Orderings_Otop__class_Otop(tc_fun(_u13212, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13212, tc_HOL_Obool)), _u13215), _u13216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13213, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13212, _u13213, _u13214), _u13215)), hAPP(c_Set_Oimage(_u13212, _u13213, _u13214), _u13216))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__image__Int ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u13217, _u13218, _u13219, _u13220) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13217, tc_HOL_Obool)), _u13221), _u13220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13217, tc_HOL_Obool)), _u13222), _u13220)) | ( hAPP(c_Set_Oimage(_u13217, _u13218, _u13219), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13217, tc_HOL_Obool)), _u13221), _u13222)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13218, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13217, _u13218, _u13219), _u13221)), hAPP(c_Set_Oimage(_u13217, _u13218, _u13219), _u13222))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_image__Int ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u13223, _u13224, _u13225, c_Orderings_Otop__class_Otop(tc_fun(_u13223, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13223, _u13224, _u13225), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13223, tc_HOL_Obool)), _u13226), _u13227)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13224, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13223, _u13224, _u13225), _u13226)), hAPP(c_Set_Oimage(_u13223, _u13224, _u13225), _u13227))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__iff__eq__card ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__iff__eq__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13228), _u13229)) | ~c_Fun_Oinj__on(_u13228, _u13230, _u13231, _u13229) | ( hAPP(c_Finite__Set_Ocard(_u13230), hAPP(c_Set_Oimage(_u13228, _u13230, _u13231), _u13229)) = hAPP(c_Finite__Set_Ocard(_u13228), _u13229)) )).
% 27.68/27.90 cnf(fact_inj__on__iff__eq__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13228), _u13229)) | ( hAPP(c_Finite__Set_Ocard(_u13230), hAPP(c_Set_Oimage(_u13228, _u13230, _u13231), _u13229)) != hAPP(c_Finite__Set_Ocard(_u13228), _u13229)) | c_Fun_Oinj__on(_u13228, _u13230, _u13231, _u13229) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_eq__card__imp__inj__on ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_eq__card__imp__inj__on-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13232), _u13233)) | ( hAPP(c_Finite__Set_Ocard(_u13234), hAPP(c_Set_Oimage(_u13232, _u13234, _u13235), _u13233)) != hAPP(c_Finite__Set_Ocard(_u13232), _u13233)) | c_Fun_Oinj__on(_u13232, _u13234, _u13235, _u13233) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__image__set__diff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u13236, _u13237, _u13238, _u13239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13236, tc_HOL_Obool)), _u13240), _u13239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13236, tc_HOL_Obool)), _u13241), _u13239)) | ( hAPP(c_Set_Oimage(_u13236, _u13237, _u13238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13236, tc_HOL_Obool)), _u13240), _u13241)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13237, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13236, _u13237, _u13238), _u13240)), hAPP(c_Set_Oimage(_u13236, _u13237, _u13238), _u13241))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_image__set__diff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u13242, _u13243, _u13244, c_Orderings_Otop__class_Otop(tc_fun(_u13242, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13242, _u13243, _u13244), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13242, tc_HOL_Obool)), _u13245), _u13246)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13243, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13242, _u13243, _u13244), _u13245)), hAPP(c_Set_Oimage(_u13242, _u13243, _u13244), _u13246))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum__reindex ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13247) | ~c_Fun_Oinj__on(_u13248, _u13249, _u13250, _u13251) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13249, _u13247), _u13252), hAPP(c_Set_Oimage(_u13248, _u13249, _u13250), _u13251)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13248, _u13247), hAPP(c_Fun_Ocomp(_u13249, _u13247, _u13248, _u13252), _u13250)), _u13251)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_pigeonhole ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_pigeonhole-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13253), hAPP(c_Set_Oimage(_u13254, _u13253, _u13255), _u13256))), hAPP(c_Finite__Set_Ocard(_u13254), _u13256))) | ~c_Fun_Oinj__on(_u13254, _u13253, _u13255, _u13256) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__fun__updI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__fun__updI-1, axiom, ( ~c_Fun_Oinj__on(_u13257, _u13258, _u13259, _u13260) | hBOOL(hAPP(hAPP(c_member(_u13258), _u13261), hAPP(c_Set_Oimage(_u13257, _u13258, _u13259), _u13260))) | c_Fun_Oinj__on(_u13257, _u13258, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13257, _u13258), _u13259), _u13262), _u13261), _u13260) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setprod__reindex__cong ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13263) | ~c_Fun_Oinj__on(_u13264, _u13265, _u13266, _u13267) | ( _u13268 != hAPP(c_Set_Oimage(_u13264, _u13265, _u13266), _u13267)) | ( _u13269 != hAPP(c_Fun_Ocomp(_u13265, _u13263, _u13264, _u13270), _u13266)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13265, _u13263), _u13270), _u13268) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13264, _u13263), _u13269), _u13267)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setprod__reindex ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setprod__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13271) | ~c_Fun_Oinj__on(_u13272, _u13273, _u13274, _u13275) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13273, _u13271), _u13276), hAPP(c_Set_Oimage(_u13272, _u13273, _u13274), _u13275)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13272, _u13271), hAPP(c_Fun_Ocomp(_u13273, _u13271, _u13272, _u13276), _u13274)), _u13275)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__singleton ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__singleton-1, axiom, ( c_Fun_Oinj__on(_u13277, tc_fun(_u13277, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13277, tc_fun(_u13277, tc_HOL_Obool), tc_fun(_u13277, tc_HOL_Obool)), c_Set_Oinsert(_u13277)), c_Orderings_Obot__class_Obot(tc_fun(_u13277, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13277, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum_Oreindex ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13278) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13279), _u13280)) | ~c_Fun_Oinj__on(_u13279, _u13279, _u13281, _u13280) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13279, _u13278), _u13282), hAPP(c_Set_Oimage(_u13279, _u13279, _u13281), _u13280)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13279, _u13278), hAPP(c_Fun_Ocomp(_u13279, _u13278, _u13279, _u13282), _u13281)), _u13280)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_card__bij__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_card__bij__eq-1, axiom, ( ~c_Fun_Oinj__on(_u13283, _u13284, _u13285, _u13286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13284, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13283, _u13284, _u13285), _u13286)), _u13287)) | ~c_Fun_Oinj__on(_u13284, _u13283, _u13288, _u13287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13283, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13284, _u13283, _u13288), _u13287)), _u13286)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13283), _u13286)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13284), _u13287)) | ( hAPP(c_Finite__Set_Ocard(_u13283), _u13286) = hAPP(c_Finite__Set_Ocard(_u13284), _u13287)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setprod_Oreindex ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setprod_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13289) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13290), _u13291)) | ~c_Fun_Oinj__on(_u13290, _u13290, _u13292, _u13291) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13290, _u13289), _u13293), hAPP(c_Set_Oimage(_u13290, _u13290, _u13292), _u13291)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13290, _u13289), hAPP(c_Fun_Ocomp(_u13290, _u13289, _u13290, _u13293), _u13292)), _u13291)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__image__distrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__image__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13294) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13295), _u13296)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13294, _u13295, c_Groups_Otimes__class_Otimes(_u13294)), hAPP(hAPP(c_COMBS(_u13295, _u13294, _u13294), hAPP(hAPP(c_COMBB(_u13294, tc_fun(_u13294, _u13294), _u13295), c_Groups_Otimes__class_Otimes(_u13294)), _u13297)), _u13298)), c_Groups_Oone__class_Oone(_u13294)), _u13296) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13294), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13294, _u13295, c_Groups_Otimes__class_Otimes(_u13294)), _u13297), c_Groups_Oone__class_Oone(_u13294)), _u13296)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13294, _u13295, c_Groups_Otimes__class_Otimes(_u13294)), _u13298), c_Groups_Oone__class_Oone(_u13294)), _u13296))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__image__Compl__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__image__Compl__subset-1, axiom, ( ~c_Fun_Oinj__on(_u13299, _u13300, _u13301, c_Orderings_Otop__class_Otop(tc_fun(_u13299, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13300, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13299, _u13300, _u13301), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13299, tc_HOL_Obool)), _u13302))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13300, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13299, _u13300, _u13301), _u13302)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__image__insert ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__image__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13303) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13304), _u13305)) | hBOOL(hAPP(hAPP(c_member(_u13304), _u13306), _u13305)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13303, _u13304, c_Groups_Otimes__class_Otimes(_u13303)), _u13307), _u13308), hAPP(hAPP(c_Set_Oinsert(_u13304), _u13306), _u13305)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13303), hAPP(_u13307, _u13306)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13303, _u13304, c_Groups_Otimes__class_Otimes(_u13303)), _u13307), _u13308), _u13305))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum_Oeq__fold ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13309) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13310), _u13311)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13310, _u13309), _u13312), _u13311) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13309, _u13310, c_Groups_Oplus__class_Oplus(_u13309)), _u13312), c_Groups_Ozero__class_Ozero(_u13309)), _u13311)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum_OF__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13313) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13314), _u13315)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13314, _u13313), _u13316), _u13315) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13313, _u13314, c_Groups_Oplus__class_Oplus(_u13313)), _u13316), c_Groups_Ozero__class_Ozero(_u13313)), _u13315)) )).
% 27.68/27.90 cnf(fact_setsum_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13313) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13314), _u13315)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13314, _u13313), _u13316), _u13315) = c_Groups_Ozero__class_Ozero(_u13313)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setprod_OF__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setprod_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13317) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13318), _u13319)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13318, _u13317), _u13320), _u13319) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13317, _u13318, c_Groups_Otimes__class_Otimes(_u13317)), _u13320), c_Groups_Oone__class_Oone(_u13317)), _u13319)) )).
% 27.68/27.90 cnf(fact_setprod_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13317) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13318), _u13319)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13318, _u13317), _u13320), _u13319) = c_Groups_Oone__class_Oone(_u13317)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setprod_Oeq__fold ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setprod_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13322), _u13323)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13322, _u13321), _u13324), _u13323) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13321, _u13322, c_Groups_Otimes__class_Otimes(_u13321)), _u13324), c_Groups_Oone__class_Oone(_u13321)), _u13323)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__insert ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__insert-1, axiom, ( ~c_Fun_Oinj__on(_u13330, _u13332, _u13334, hAPP(hAPP(c_Set_Oinsert(_u13330), _u13336), _u13338)) | c_Fun_Oinj__on(_u13330, _u13332, _u13334, _u13338) )).
% 27.68/27.90 cnf(fact_inj__on__insert-2, axiom, ( ~c_Fun_Oinj__on(_u13330, _u13332, _u13334, hAPP(hAPP(c_Set_Oinsert(_u13330), _u13336), _u13338)) | ~hBOOL(hAPP(hAPP(c_member(_u13332), hAPP(_u13334, _u13336)), hAPP(c_Set_Oimage(_u13330, _u13332, _u13334), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13330, tc_HOL_Obool)), _u13338), hAPP(hAPP(c_Set_Oinsert(_u13330), _u13336), c_Orderings_Obot__class_Obot(tc_fun(_u13330, tc_HOL_Obool))))))) )).
% 27.68/27.90 cnf(fact_inj__on__insert-3, axiom, ( ~c_Fun_Oinj__on(_u13331, _u13333, _u13335, _u13339) | hBOOL(hAPP(hAPP(c_member(_u13333), hAPP(_u13335, _u13337)), hAPP(c_Set_Oimage(_u13331, _u13333, _u13335), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13331, tc_HOL_Obool)), _u13339), hAPP(hAPP(c_Set_Oinsert(_u13331), _u13337), c_Orderings_Obot__class_Obot(tc_fun(_u13331, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u13331, _u13333, _u13335, hAPP(hAPP(c_Set_Oinsert(_u13331), _u13337), _u13339)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__Un ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__Un-1, axiom, ( ~c_Fun_Oinj__on(_u13345, _u13347, _u13349, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13345, tc_HOL_Obool)), _u13351), _u13353)) | c_Fun_Oinj__on(_u13345, _u13347, _u13349, _u13351) )).
% 27.68/27.90 cnf(fact_inj__on__Un-2, axiom, ( ~c_Fun_Oinj__on(_u13345, _u13347, _u13349, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13345, tc_HOL_Obool)), _u13351), _u13353)) | c_Fun_Oinj__on(_u13345, _u13347, _u13349, _u13353) )).
% 27.68/27.90 cnf(fact_inj__on__Un-3, axiom, ( ~c_Fun_Oinj__on(_u13345, _u13347, _u13349, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13345, tc_HOL_Obool)), _u13351), _u13353)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13347, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13345, _u13347, _u13349), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13345, tc_HOL_Obool)), _u13351), _u13353))), hAPP(c_Set_Oimage(_u13345, _u13347, _u13349), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13345, tc_HOL_Obool)), _u13353), _u13351))) = c_Orderings_Obot__class_Obot(tc_fun(_u13347, tc_HOL_Obool))) )).
% 27.68/27.90 cnf(fact_inj__on__Un-4, axiom, ( ~c_Fun_Oinj__on(_u13346, _u13348, _u13350, _u13352) | ~c_Fun_Oinj__on(_u13346, _u13348, _u13350, _u13354) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13348, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13346, _u13348, _u13350), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13346, tc_HOL_Obool)), _u13352), _u13354))), hAPP(c_Set_Oimage(_u13346, _u13348, _u13350), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13346, tc_HOL_Obool)), _u13354), _u13352))) != c_Orderings_Obot__class_Obot(tc_fun(_u13348, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13346, _u13348, _u13350, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13346, tc_HOL_Obool)), _u13352), _u13354)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_card__inj__on__le ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_card__inj__on__le-1, axiom, ( ~c_Fun_Oinj__on(_u13355, _u13356, _u13357, _u13358) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13356, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13355, _u13356, _u13357), _u13358)), _u13359)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13356), _u13359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13355), _u13358)), hAPP(c_Finite__Set_Ocard(_u13356), _u13359))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__iff__card__le ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__iff__card__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13362), _u13363)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13364), _u13365)) | ~c_Fun_Oinj__on(_u13362, _u13364, _u13360, _u13363) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13364, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13362, _u13364, _u13360), _u13363)), _u13365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13362), _u13363)), hAPP(c_Finite__Set_Ocard(_u13364), _u13365))) )).
% 27.68/27.90 cnf(fact_inj__on__iff__card__le-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13362), _u13363)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13364), _u13365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13362), _u13363)), hAPP(c_Finite__Set_Ocard(_u13364), _u13365))) | c_Fun_Oinj__on(_u13362, _u13364, skolem281(_u13365, _u13364, _u13363, _u13362), _u13363) )).
% 27.68/27.90 cnf(fact_inj__on__iff__card__le-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13362), _u13363)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13364), _u13365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13362), _u13363)), hAPP(c_Finite__Set_Ocard(_u13364), _u13365))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13364, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13362, _u13364, skolem281(_u13365, _u13364, _u13363, _u13362)), _u13363)), _u13365)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_quotient__diff1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_quotient__diff1-1, axiom, ( ~c_Fun_Oinj__on(_u13366, tc_fun(tc_fun(_u13366, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13366, tc_fun(tc_prod(_u13366, _u13366), tc_HOL_Obool), tc_fun(tc_fun(_u13366, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13366, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u13366, _u13366), tc_HOL_Obool), tc_fun(tc_fun(_u13366, tc_HOL_Obool), tc_HOL_Obool)), _u13366), c_Equiv__Relations_Oquotient(_u13366)), hAPP(hAPP(c_COMBC(_u13366, tc_fun(_u13366, tc_HOL_Obool), tc_fun(_u13366, tc_HOL_Obool)), c_Set_Oinsert(_u13366)), c_Orderings_Obot__class_Obot(tc_fun(_u13366, tc_HOL_Obool))))), _u13367), _u13368) | ~hBOOL(hAPP(hAPP(c_member(_u13366), _u13369), _u13368)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13366), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13366, tc_HOL_Obool)), _u13368), hAPP(hAPP(c_Set_Oinsert(_u13366), _u13369), c_Orderings_Obot__class_Obot(tc_fun(_u13366, tc_HOL_Obool))))), _u13367) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u13366, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13366), _u13368), _u13367)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13366), hAPP(hAPP(c_Set_Oinsert(_u13366), _u13369), c_Orderings_Obot__class_Obot(tc_fun(_u13366, tc_HOL_Obool)))), _u13367))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__image__Un__Int ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__image__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13370) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13371), _u13372)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13371), _u13373)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13370), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13370, _u13371, c_Groups_Otimes__class_Otimes(_u13370)), _u13374), c_Groups_Oone__class_Oone(_u13370)), _u13372)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13370, _u13371, c_Groups_Otimes__class_Otimes(_u13370)), _u13374), c_Groups_Oone__class_Oone(_u13370)), _u13373)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13370), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13370, _u13371, c_Groups_Otimes__class_Otimes(_u13370)), _u13374), c_Groups_Oone__class_Oone(_u13370)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13371, tc_HOL_Obool)), _u13372), _u13373))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13370, _u13371, c_Groups_Otimes__class_Otimes(_u13370)), _u13374), c_Groups_Oone__class_Oone(_u13370)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13371, tc_HOL_Obool)), _u13372), _u13373)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_image__eq__fold__image ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_image__eq__fold__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13375), _u13376)) | ( hAPP(c_Set_Oimage(_u13375, _u13377, _u13378), _u13376) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u13377, tc_HOL_Obool), _u13375, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13377, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u13375, tc_fun(_u13377, tc_HOL_Obool), tc_fun(_u13377, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u13377, tc_fun(tc_fun(_u13377, tc_HOL_Obool), tc_fun(_u13377, tc_HOL_Obool)), _u13375), c_Set_Oinsert(_u13377)), _u13378)), c_Orderings_Obot__class_Obot(tc_fun(_u13377, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u13377, tc_HOL_Obool))), _u13376)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_card__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_card__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13381), _u13383)) | ( hAPP(c_Finite__Set_Ocard(_u13381), _u13383) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u13381, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u13381), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13383)) )).
% 27.68/27.90 cnf(fact_card__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13382), _u13384)) | ( hAPP(c_Finite__Set_Ocard(_u13382), _u13384) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_card_Oeq__fold__g ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_card_Oeq__fold__g-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13385), _u13386)) | ( hAPP(c_Finite__Set_Ocard(_u13385), _u13386) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u13385, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u13385), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13386)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_comm__monoid__big_OF__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_comm__monoid__big_OF__eq-1, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u13387, _u13388, _u13389, _u13390, _u13391) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13388), _u13392)) | ( hAPP(hAPP(_u13391, _u13393), _u13392) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13387, _u13388, _u13389), _u13393), _u13390), _u13392)) )).
% 27.68/27.90 cnf(fact_comm__monoid__big_OF__eq-2, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u13387, _u13388, _u13389, _u13390, _u13391) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13388), _u13392)) | ( hAPP(hAPP(_u13391, _u13393), _u13392) = _u13390) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding__image_Oreindex ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding__image_Oreindex-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13394, _u13395, _u13396, _u13397, _u13398) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13395), _u13399)) | ~c_Fun_Oinj__on(_u13395, _u13395, _u13400, _u13399) | ( hAPP(hAPP(_u13398, _u13401), hAPP(c_Set_Oimage(_u13395, _u13395, _u13400), _u13399)) = hAPP(hAPP(_u13398, hAPP(c_Fun_Ocomp(_u13395, _u13394, _u13395, _u13401), _u13400)), _u13399)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__image__Un__one ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__image__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13403) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13404), _u13405)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13404), _u13406)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13403, _u13404, c_Groups_Otimes__class_Otimes(_u13403)), _u13407), c_Groups_Oone__class_Oone(_u13403)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13404, tc_HOL_Obool)), _u13405), _u13406)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13403), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13403, _u13404, c_Groups_Otimes__class_Otimes(_u13403)), _u13407), c_Groups_Oone__class_Oone(_u13403)), _u13405)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13403, _u13404, c_Groups_Otimes__class_Otimes(_u13403)), _u13407), c_Groups_Oone__class_Oone(_u13403)), _u13406))) | hBOOL(hAPP(hAPP(c_member(_u13404), skolem282(_u13407, _u13406, _u13405, _u13404, _u13403)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13404, tc_HOL_Obool)), _u13405), _u13406))) )).
% 27.68/27.90 cnf(fact_fold__image__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13403) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13404), _u13405)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13404), _u13406)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13403, _u13404, c_Groups_Otimes__class_Otimes(_u13403)), _u13407), c_Groups_Oone__class_Oone(_u13403)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13404, tc_HOL_Obool)), _u13405), _u13406)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13403), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13403, _u13404, c_Groups_Otimes__class_Otimes(_u13403)), _u13407), c_Groups_Oone__class_Oone(_u13403)), _u13405)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13403, _u13404, c_Groups_Otimes__class_Otimes(_u13403)), _u13407), c_Groups_Oone__class_Oone(_u13403)), _u13406))) | ( hAPP(_u13407, skolem282(_u13407, _u13406, _u13405, _u13404, _u13403)) != c_Groups_Oone__class_Oone(_u13403)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__of__nat ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__of__nat-1, axiom, ( ~class_Nat_Osemiring__char__0(_u13408) | c_Fun_Oinj__on(tc_Nat_Onat, _u13408, c_Nat_Osemiring__1__class_Oof__nat(_u13408), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__add__nat ( axiom ) converted to clauses:
% 27.68/27.90 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)), _u13409), _u13410) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__Suc ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__Suc-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u13411) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__Some ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__Some-1, axiom, ( c_Fun_Oinj__on(_u13412, tc_Option_Ooption(_u13412), c_Option_Ooption_OSome(_u13412), _u13413) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__Inr ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__Inr-1, axiom, ( c_Fun_Oinj__on(_u13414, tc_sum(_u13415, _u13414), c_Sum__Type_OInr(_u13414, _u13415), _u13416) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__Inl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__Inl-1, axiom, ( c_Fun_Oinj__on(_u13417, tc_sum(_u13417, _u13418), c_Sum__Type_OInl(_u13417, _u13418), _u13419) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__int ( axiom ) converted to clauses:
% 27.68/27.90 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))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_swap__inj__on ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_swap__inj__on-1, axiom, ( c_Fun_Oinj__on(tc_prod(_u13420, _u13421), tc_prod(_u13421, _u13420), hAPP(c_Product__Type_Oprod_Oprod__case(_u13420, _u13421, tc_prod(_u13421, _u13420)), hAPP(c_COMBC(_u13421, _u13420, tc_prod(_u13421, _u13420)), c_Product__Type_OPair(_u13421, _u13420))), _u13422) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding__image_Odistrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding__image_Odistrib-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13423, _u13424, _u13425, _u13426, _u13427) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13424), _u13428)) | ( hAPP(hAPP(_u13427, hAPP(hAPP(c_COMBS(_u13424, _u13423, _u13423), hAPP(hAPP(c_COMBB(_u13423, tc_fun(_u13423, _u13423), _u13424), _u13425), _u13429)), _u13430)), _u13428) = hAPP(hAPP(_u13425, hAPP(hAPP(_u13427, _u13429), _u13428)), hAPP(hAPP(_u13427, _u13430), _u13428))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding__image_Oeq__fold ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding__image_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13431, _u13432, _u13433, _u13434, _u13435) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13432), _u13436)) | ( hAPP(hAPP(_u13435, _u13437), _u13436) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13431, _u13432, _u13433), _u13437), _u13434), _u13436)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_comm__monoid__big_Oinfinite ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_comm__monoid__big_Oinfinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13439), _u13443)) | ( hAPP(hAPP(_u13442, _u13444), _u13443) = _u13441) | ~c_Big__Operators_Ocomm__monoid__big(_u13438, _u13439, _u13440, _u13441, _u13442) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_the__inv__into__comp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_the__inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u13445, _u13446, _u13447, hAPP(c_Set_Oimage(_u13448, _u13445, _u13449), _u13450)) | ~c_Fun_Oinj__on(_u13448, _u13445, _u13449, _u13450) | ~hBOOL(hAPP(hAPP(c_member(_u13446), _u13451), hAPP(c_Set_Oimage(_u13445, _u13446, _u13447), hAPP(c_Set_Oimage(_u13448, _u13445, _u13449), _u13450)))) | ( hAPP(c_Fun_Othe__inv__into(_u13448, _u13446, _u13450, hAPP(c_Fun_Ocomp(_u13445, _u13446, _u13448, _u13447), _u13449)), _u13451) = hAPP(hAPP(c_Fun_Ocomp(_u13445, _u13448, _u13446, c_Fun_Othe__inv__into(_u13448, _u13445, _u13450, _u13449)), c_Fun_Othe__inv__into(_u13445, _u13446, hAPP(c_Set_Oimage(_u13448, _u13445, _u13449), _u13450), _u13447)), _u13451)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_the__inv__into__into ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_the__inv__into__into-1, axiom, ( ~c_Fun_Oinj__on(_u13452, _u13453, _u13454, _u13455) | ~hBOOL(hAPP(hAPP(c_member(_u13453), _u13456), hAPP(c_Set_Oimage(_u13452, _u13453, _u13454), _u13455))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13452, tc_HOL_Obool)), _u13455), _u13457)) | hBOOL(hAPP(hAPP(c_member(_u13452), hAPP(c_Fun_Othe__inv__into(_u13452, _u13453, _u13455, _u13454), _u13456)), _u13457)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__vimage__singleton ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__vimage__singleton-1, axiom, ( ~c_Fun_Oinj__on(_u13458, _u13459, _u13460, c_Orderings_Otop__class_Otop(tc_fun(_u13458, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13458, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13458, _u13459, _u13460), hAPP(hAPP(c_Set_Oinsert(_u13459), _u13461), c_Orderings_Obot__class_Obot(tc_fun(_u13459, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u13458), c_HOL_OThe(_u13458, hAPP(hAPP(c_COMBC(_u13458, _u13459, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13459, tc_fun(_u13459, tc_HOL_Obool), _u13458), c_fequal), _u13460)), _u13461))), c_Orderings_Obot__class_Obot(tc_fun(_u13458, tc_HOL_Obool))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimageI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimageI-1, axiom, ( ( hAPP(_u13462, _u13463) != _u13464) | ~hBOOL(hAPP(hAPP(c_member(_u13465), _u13464), _u13466)) | hBOOL(hAPP(hAPP(c_member(_u13467), _u13463), hAPP(c_Set_Ovimage(_u13467, _u13465, _u13462), _u13466))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__Diff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__Diff-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13468, _u13469, _u13470), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13469, tc_HOL_Obool)), _u13471), _u13472)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13468, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13468, _u13469, _u13470), _u13471)), hAPP(c_Set_Ovimage(_u13468, _u13469, _u13470), _u13472))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_image__vimage__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_image__vimage__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13473, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13474, _u13473, _u13475), hAPP(c_Set_Ovimage(_u13474, _u13473, _u13475), _u13476))), _u13476)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_surj__image__vimage__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_surj__image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u13477, _u13478, _u13479), c_Orderings_Otop__class_Otop(tc_fun(_u13477, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13478, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13477, _u13478, _u13479), hAPP(c_Set_Ovimage(_u13477, _u13478, _u13479), _u13480)) = _u13480) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13490), hAPP(_u13492, _u13488)), _u13494)) | ~hBOOL(hAPP(hAPP(c_member(_u13486), _u13488), hAPP(c_Set_Ovimage(_u13486, _u13490, _u13492), _u13494))) )).
% 27.68/27.90 cnf(fact_vimage__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13491), hAPP(_u13493, _u13489)), _u13495)) | hBOOL(hAPP(hAPP(c_member(_u13487), _u13489), hAPP(c_Set_Ovimage(_u13487, _u13491, _u13493), _u13495))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimageD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimageD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13498), hAPP(_u13499, _u13497)), _u13500)) | ~hBOOL(hAPP(hAPP(c_member(_u13496), _u13497), hAPP(c_Set_Ovimage(_u13496, _u13498, _u13499), _u13500))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimageI2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimageI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13501), hAPP(_u13502, _u13503)), _u13504)) | hBOOL(hAPP(hAPP(c_member(_u13505), _u13503), hAPP(c_Set_Ovimage(_u13505, _u13501, _u13502), _u13504))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__mono ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13506, tc_HOL_Obool)), _u13507), _u13508)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13509, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13509, _u13506, _u13510), _u13507)), hAPP(c_Set_Ovimage(_u13509, _u13506, _u13510), _u13508))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__Un ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__Un-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13511, _u13512, _u13513), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13512, tc_HOL_Obool)), _u13514), _u13515)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13511, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13511, _u13512, _u13513), _u13514)), hAPP(c_Set_Ovimage(_u13511, _u13512, _u13513), _u13515))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__empty-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13516, _u13517, _u13518), c_Orderings_Obot__class_Obot(tc_fun(_u13517, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13516, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__ident ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__ident-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13519, _u13519, c_COMBI(_u13519)), _u13520) = _u13520) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__Compl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__Compl-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13521, _u13522, _u13523), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13522, tc_HOL_Obool)), _u13524)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13521, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13521, _u13522, _u13523), _u13524))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__code ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__code-1, axiom, ( hBOOL(hAPP(_u13536, hAPP(_u13534, _u13538))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u13530, _u13532, _u13534), _u13536), _u13538)) )).
% 27.68/27.90 cnf(fact_vimage__code-2, axiom, ( ~hBOOL(hAPP(_u13537, hAPP(_u13535, _u13539))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u13531, _u13533, _u13535), _u13537), _u13539)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__UN ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13540, _u13541, _u13542), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13543, tc_fun(_u13541, tc_HOL_Obool)), _u13544), _u13545)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13543, tc_fun(_u13540, tc_HOL_Obool)), _u13544), hAPP(hAPP(c_COMBB(tc_fun(_u13541, tc_HOL_Obool), tc_fun(_u13540, tc_HOL_Obool), _u13543), c_Set_Ovimage(_u13540, _u13541, _u13542)), _u13545))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__compose ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__compose-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13546, _u13547, hAPP(c_Fun_Ocomp(_u13548, _u13547, _u13546, _u13549), _u13550)), _u13551) = hAPP(c_Set_Ovimage(_u13546, _u13548, _u13550), hAPP(c_Set_Ovimage(_u13548, _u13547, _u13549), _u13551))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__UNIV ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__UNIV-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13552, _u13553, _u13554), c_Orderings_Otop__class_Otop(tc_fun(_u13553, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13552, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__Int ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__Int-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13555, _u13556, _u13557), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13556, tc_HOL_Obool)), _u13558), _u13559)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13555, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13555, _u13556, _u13557), _u13558)), hAPP(c_Set_Ovimage(_u13555, _u13556, _u13557), _u13559))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__singleton__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__singleton__eq-1, axiom, ( ( hAPP(_u13571, _u13567) = _u13573) | ~hBOOL(hAPP(hAPP(c_member(_u13565), _u13567), hAPP(c_Set_Ovimage(_u13565, _u13569, _u13571), hAPP(hAPP(c_Set_Oinsert(_u13569), _u13573), c_Orderings_Obot__class_Obot(tc_fun(_u13569, tc_HOL_Obool)))))) )).
% 27.68/27.90 cnf(fact_vimage__singleton__eq-2, axiom, ( ( hAPP(_u13572, _u13568) != _u13574) | hBOOL(hAPP(hAPP(c_member(_u13566), _u13568), hAPP(c_Set_Ovimage(_u13566, _u13570, _u13572), hAPP(hAPP(c_Set_Oinsert(_u13570), _u13574), c_Orderings_Obot__class_Obot(tc_fun(_u13570, tc_HOL_Obool)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__insert ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__insert-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13575, _u13576, _u13577), hAPP(hAPP(c_Set_Oinsert(_u13576), _u13578), _u13579)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13575, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13575, _u13576, _u13577), hAPP(hAPP(c_Set_Oinsert(_u13576), _u13578), c_Orderings_Obot__class_Obot(tc_fun(_u13576, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u13575, _u13576, _u13577), _u13579))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__vimageD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__vimageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13580), hAPP(c_Set_Ovimage(_u13580, _u13581, _u13582), _u13583))) | ( hAPP(c_Set_Oimage(_u13580, _u13581, _u13582), c_Orderings_Otop__class_Otop(tc_fun(_u13580, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13581, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13581), _u13583)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__subsetD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__subsetD-1, axiom, ( ( hAPP(c_Set_Oimage(_u13584, _u13585, _u13586), c_Orderings_Otop__class_Otop(tc_fun(_u13584, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13585, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13584, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13584, _u13585, _u13586), _u13587)), _u13588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13585, tc_HOL_Obool)), _u13587), hAPP(c_Set_Oimage(_u13584, _u13585, _u13586), _u13588))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_image__vimage__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u13589, _u13590, _u13591), hAPP(c_Set_Ovimage(_u13589, _u13590, _u13591), _u13592)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13590, tc_HOL_Obool)), _u13592), hAPP(c_Set_Oimage(_u13589, _u13590, _u13591), c_Orderings_Otop__class_Otop(tc_fun(_u13589, tc_HOL_Obool))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__vimageI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__vimageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13593), _u13594)) | ~c_Fun_Oinj__on(_u13595, _u13593, _u13596, c_Orderings_Otop__class_Otop(tc_fun(_u13595, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13595), hAPP(c_Set_Ovimage(_u13595, _u13593, _u13596), _u13594))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__vimage__image__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__vimage__image__eq-1, axiom, ( ~c_Fun_Oinj__on(_u13597, _u13598, _u13599, c_Orderings_Otop__class_Otop(tc_fun(_u13597, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u13597, _u13598, _u13599), hAPP(c_Set_Oimage(_u13597, _u13598, _u13599), _u13600)) = _u13600) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__const ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__const-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13605), _u13607), _u13609)) | ( hAPP(c_Set_Ovimage(_u13611, _u13605, hAPP(c_COMBK(_u13605, _u13611), _u13607)), _u13609) = c_Orderings_Otop__class_Otop(tc_fun(_u13611, tc_HOL_Obool))) )).
% 27.68/27.90 cnf(fact_vimage__const-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13606), _u13608), _u13610)) | ( hAPP(c_Set_Ovimage(_u13612, _u13606, hAPP(c_COMBK(_u13606, _u13612), _u13608)), _u13610) = c_Orderings_Obot__class_Obot(tc_fun(_u13612, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__eq__UN ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__eq__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13613, _u13614, _u13615), _u13616) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13614, tc_fun(_u13613, tc_HOL_Obool)), _u13616), hAPP(hAPP(c_COMBB(tc_fun(_u13614, tc_HOL_Obool), tc_fun(_u13613, tc_HOL_Obool), _u13614), c_Set_Ovimage(_u13613, _u13614, _u13615)), hAPP(hAPP(c_COMBC(_u13614, tc_fun(_u13614, tc_HOL_Obool), tc_fun(_u13614, tc_HOL_Obool)), c_Set_Oinsert(_u13614)), c_Orderings_Obot__class_Obot(tc_fun(_u13614, tc_HOL_Obool)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_the__inv__into__f__f ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_the__inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u13617, _u13618, _u13619, _u13620) | ~hBOOL(hAPP(hAPP(c_member(_u13617), _u13621), _u13620)) | ( hAPP(c_Fun_Othe__inv__into(_u13617, _u13618, _u13620, _u13619), hAPP(_u13619, _u13621)) = _u13621) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_the__inv__into__f__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_the__inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u13622, _u13623, _u13624, _u13625) | ( hAPP(_u13624, _u13626) != _u13627) | ~hBOOL(hAPP(hAPP(c_member(_u13622), _u13626), _u13625)) | ( hAPP(c_Fun_Othe__inv__into(_u13622, _u13623, _u13625, _u13624), _u13627) = _u13626) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_the__inv__f__f ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_the__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u13628, _u13629, _u13630, c_Orderings_Otop__class_Otop(tc_fun(_u13628, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u13628, _u13629, c_Orderings_Otop__class_Otop(tc_fun(_u13628, tc_HOL_Obool)), _u13630), hAPP(_u13630, _u13631)) = _u13631) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_the__inv__into__onto ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_the__inv__into__onto-1, axiom, ( ~c_Fun_Oinj__on(_u13632, _u13633, _u13634, _u13635) | ( hAPP(c_Set_Oimage(_u13633, _u13632, c_Fun_Othe__inv__into(_u13632, _u13633, _u13635, _u13634)), hAPP(c_Set_Oimage(_u13632, _u13633, _u13634), _u13635)) = _u13635) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__the__inv__into ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__the__inv__into-1, axiom, ( ~c_Fun_Oinj__on(_u13636, _u13637, _u13638, _u13639) | c_Fun_Oinj__on(_u13637, _u13636, c_Fun_Othe__inv__into(_u13636, _u13637, _u13639, _u13638), hAPP(c_Set_Oimage(_u13636, _u13637, _u13638), _u13639)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__subsetI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__subsetI-1, axiom, ( ~c_Fun_Oinj__on(_u13640, _u13641, _u13642, c_Orderings_Otop__class_Otop(tc_fun(_u13640, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13641, tc_HOL_Obool)), _u13643), hAPP(c_Set_Oimage(_u13640, _u13641, _u13642), _u13644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13640, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13640, _u13641, _u13642), _u13643)), _u13644)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_the__inv__into__def-1, axiom, ( ( hAPP(c_Fun_Othe__inv__into(_u13645, _u13646, _u13647, _u13648), _u13649) = c_HOL_OThe(_u13645, hAPP(hAPP(c_COMBS(_u13645, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13645), c_fconj), hAPP(hAPP(c_COMBC(_u13645, tc_fun(_u13645, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13645)), _u13647))), hAPP(hAPP(c_COMBC(_u13645, _u13646, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13646, tc_fun(_u13646, tc_HOL_Obool), _u13645), c_fequal), _u13648)), _u13649)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__if ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13656), _u13658), _u13660)) | ~hBOOL(hAPP(hAPP(c_member(_u13656), _u13662), _u13660)) | ( hAPP(c_Set_Ovimage(_u13664, _u13656, hAPP(hAPP(c_COMBC(_u13664, _u13656, _u13656), hAPP(hAPP(c_COMBC(_u13664, _u13656, tc_fun(_u13656, _u13656)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13656, tc_fun(_u13656, _u13656)), _u13664), c_If(_u13656)), hAPP(hAPP(c_COMBC(_u13664, tc_fun(_u13664, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13664)), _u13666))), _u13658)), _u13662)), _u13660) = c_Orderings_Otop__class_Otop(tc_fun(_u13664, tc_HOL_Obool))) )).
% 27.68/27.90 cnf(fact_vimage__if-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13656), _u13658), _u13660)) | hBOOL(hAPP(hAPP(c_member(_u13656), _u13662), _u13660)) | ( hAPP(c_Set_Ovimage(_u13664, _u13656, hAPP(hAPP(c_COMBC(_u13664, _u13656, _u13656), hAPP(hAPP(c_COMBC(_u13664, _u13656, tc_fun(_u13656, _u13656)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13656, tc_fun(_u13656, _u13656)), _u13664), c_If(_u13656)), hAPP(hAPP(c_COMBC(_u13664, tc_fun(_u13664, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13664)), _u13666))), _u13658)), _u13662)), _u13660) = _u13666) )).
% 27.68/27.90 cnf(fact_vimage__if-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13657), _u13659), _u13661)) | ~hBOOL(hAPP(hAPP(c_member(_u13657), _u13663), _u13661)) | ( hAPP(c_Set_Ovimage(_u13665, _u13657, hAPP(hAPP(c_COMBC(_u13665, _u13657, _u13657), hAPP(hAPP(c_COMBC(_u13665, _u13657, tc_fun(_u13657, _u13657)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13657, tc_fun(_u13657, _u13657)), _u13665), c_If(_u13657)), hAPP(hAPP(c_COMBC(_u13665, tc_fun(_u13665, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13665)), _u13667))), _u13659)), _u13663)), _u13661) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13665, tc_HOL_Obool)), _u13667)) )).
% 27.68/27.90 cnf(fact_vimage__if-4, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13657), _u13659), _u13661)) | hBOOL(hAPP(hAPP(c_member(_u13657), _u13663), _u13661)) | ( hAPP(c_Set_Ovimage(_u13665, _u13657, hAPP(hAPP(c_COMBC(_u13665, _u13657, _u13657), hAPP(hAPP(c_COMBC(_u13665, _u13657, tc_fun(_u13657, _u13657)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13657, tc_fun(_u13657, _u13657)), _u13665), c_If(_u13657)), hAPP(hAPP(c_COMBC(_u13665, tc_fun(_u13665, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13665)), _u13667))), _u13659)), _u13663)), _u13661) = c_Orderings_Obot__class_Obot(tc_fun(_u13665, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_f__the__inv__into__f ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_f__the__inv__into__f-1, axiom, ( ~c_Fun_Oinj__on(_u13668, _u13669, _u13670, _u13671) | ~hBOOL(hAPP(hAPP(c_member(_u13669), _u13672), hAPP(c_Set_Oimage(_u13668, _u13669, _u13670), _u13671))) | ( hAPP(_u13670, hAPP(c_Fun_Othe__inv__into(_u13668, _u13669, _u13671, _u13670), _u13672)) = _u13672) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_ImageE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_ImageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13674), _u13675), hAPP(c_Relation_OImage(_u13676, _u13674, _u13677), _u13678))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13676, _u13674)), hAPP(hAPP(c_Product__Type_OPair(_u13676, _u13674), skolem283(_u13678, _u13677, _u13676, _u13675, _u13674)), _u13675)), _u13677)) )).
% 27.68/27.90 cnf(fact_ImageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13674), _u13675), hAPP(c_Relation_OImage(_u13676, _u13674, _u13677), _u13678))) | hBOOL(hAPP(hAPP(c_member(_u13676), skolem283(_u13678, _u13677, _u13676, _u13675, _u13674)), _u13678)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_strong__setprod__reindex__cong ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_strong__setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13680) | ~c_Fun_Oinj__on(_u13681, _u13682, _u13683, _u13684) | ( _u13685 != hAPP(c_Set_Oimage(_u13681, _u13682, _u13683), _u13684)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13682, _u13680), _u13687), _u13685) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13681, _u13680), _u13686), _u13684)) | hBOOL(hAPP(hAPP(c_member(_u13681), skolem284(_u13687, _u13686, _u13685, _u13684, _u13683, _u13682, _u13681, _u13680)), _u13684)) )).
% 27.68/27.90 cnf(fact_strong__setprod__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13680) | ~c_Fun_Oinj__on(_u13681, _u13682, _u13683, _u13684) | ( _u13685 != hAPP(c_Set_Oimage(_u13681, _u13682, _u13683), _u13684)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13682, _u13680), _u13687), _u13685) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13681, _u13680), _u13686), _u13684)) | ( hAPP(_u13686, skolem284(_u13687, _u13686, _u13685, _u13684, _u13683, _u13682, _u13681, _u13680)) != hAPP(hAPP(c_Fun_Ocomp(_u13682, _u13680, _u13681, _u13687), _u13683), skolem284(_u13687, _u13686, _u13685, _u13684, _u13683, _u13682, _u13681, _u13680))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_dom__eq__singleton__conv ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_dom__eq__singleton__conv-1, axiom, ( ( c_Map_Odom(_u13694, _u13696, _u13698) != hAPP(hAPP(c_Set_Oinsert(_u13694), _u13700), c_Orderings_Obot__class_Obot(tc_fun(_u13694, tc_HOL_Obool)))) | ( _u13698 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13694, tc_Option_Ooption(_u13696)), hAPP(c_COMBK(tc_Option_Ooption(_u13696), _u13694), c_Option_Ooption_ONone(_u13696))), _u13700), hAPP(c_Option_Ooption_OSome(_u13696), skolem285(_u13700, _u13698, _u13696, _u13694)))) )).
% 27.68/27.90 cnf(fact_dom__eq__singleton__conv-2, axiom, ( ( _u13699 != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13695, tc_Option_Ooption(_u13697)), hAPP(c_COMBK(tc_Option_Ooption(_u13697), _u13695), c_Option_Ooption_ONone(_u13697))), _u13701), hAPP(c_Option_Ooption_OSome(_u13697), _u13689))) | ( c_Map_Odom(_u13695, _u13697, _u13699) = hAPP(hAPP(c_Set_Oinsert(_u13695), _u13701), c_Orderings_Obot__class_Obot(tc_fun(_u13695, tc_HOL_Obool)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__dom__body ( axiom ) converted to clauses:
% 27.68/27.90 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))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_domIff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_domIff-1, axiom, ( ( hAPP(_u13712, _u13708) != c_Option_Ooption_ONone(_u13710)) | ~hBOOL(hAPP(hAPP(c_member(_u13706), _u13708), c_Map_Odom(_u13706, _u13710, _u13712))) )).
% 27.68/27.90 cnf(fact_domIff-2, axiom, ( ( hAPP(_u13713, _u13709) = c_Option_Ooption_ONone(_u13711)) | hBOOL(hAPP(hAPP(c_member(_u13707), _u13709), c_Map_Odom(_u13707, _u13711, _u13713))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_domI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_domI-1, axiom, ( ( hAPP(_u13714, _u13715) != hAPP(c_Option_Ooption_OSome(_u13716), _u13717)) | hBOOL(hAPP(hAPP(c_member(_u13718), _u13715), c_Map_Odom(_u13718, _u13716, _u13714))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_insert__dom ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_insert__dom-1, axiom, ( ( hAPP(_u13719, _u13720) != hAPP(c_Option_Ooption_OSome(_u13721), _u13722)) | ( hAPP(hAPP(c_Set_Oinsert(_u13723), _u13720), c_Map_Odom(_u13723, _u13721, _u13719)) = c_Map_Odom(_u13723, _u13721, _u13719)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_dom__restrict ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_dom__restrict-1, axiom, ( ( c_Map_Odom(_u13724, _u13725, c_Map_Orestrict__map(_u13724, _u13725, _u13726, _u13727)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13724, tc_HOL_Obool)), c_Map_Odom(_u13724, _u13725, _u13726)), _u13727)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_dom__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_dom__empty-1, axiom, ( ( c_Map_Odom(_u13728, _u13729, hAPP(c_COMBK(tc_Option_Ooption(_u13729), _u13728), c_Option_Ooption_ONone(_u13729))) = c_Orderings_Obot__class_Obot(tc_fun(_u13728, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_dom__eq__empty__conv ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_dom__eq__empty__conv-1, axiom, ( ( c_Map_Odom(_u13733, _u13735, _u13737) != c_Orderings_Obot__class_Obot(tc_fun(_u13733, tc_HOL_Obool))) | ( _u13737 = hAPP(c_COMBK(tc_Option_Ooption(_u13735), _u13733), c_Option_Ooption_ONone(_u13735))) )).
% 27.68/27.90 cnf(fact_dom__eq__empty__conv-2, axiom, ( ( _u13738 != hAPP(c_COMBK(tc_Option_Ooption(_u13736), _u13734), c_Option_Ooption_ONone(_u13736))) | ( c_Map_Odom(_u13734, _u13736, _u13738) = c_Orderings_Obot__class_Obot(tc_fun(_u13734, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_dom__const ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_dom__const-1, axiom, ( ( c_Map_Odom(_u13739, _u13740, hAPP(hAPP(c_COMBB(_u13740, tc_Option_Ooption(_u13740), _u13739), c_Option_Ooption_OSome(_u13740)), _u13741)) = c_Orderings_Otop__class_Otop(tc_fun(_u13739, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_dom__minus ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_dom__minus-1, axiom, ( ( hAPP(_u13742, _u13743) != c_Option_Ooption_ONone(_u13744)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13745, tc_HOL_Obool)), c_Map_Odom(_u13745, _u13744, _u13742)), hAPP(hAPP(c_Set_Oinsert(_u13745), _u13743), _u13746)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13745, tc_HOL_Obool)), c_Map_Odom(_u13745, _u13744, _u13742)), _u13746)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_dom__fun__upd ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_dom__fun__upd-1, axiom, ( ( _u13752 != c_Option_Ooption_ONone(_u13754)) | ( c_Map_Odom(_u13756, _u13754, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13756, tc_Option_Ooption(_u13754)), _u13758), _u13760), _u13752)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13756, tc_HOL_Obool)), c_Map_Odom(_u13756, _u13754, _u13758)), hAPP(hAPP(c_Set_Oinsert(_u13756), _u13760), c_Orderings_Obot__class_Obot(tc_fun(_u13756, tc_HOL_Obool))))) )).
% 27.68/27.90 cnf(fact_dom__fun__upd-2, axiom, ( ( _u13753 = c_Option_Ooption_ONone(_u13755)) | ( c_Map_Odom(_u13757, _u13755, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13757, tc_Option_Ooption(_u13755)), _u13759), _u13761), _u13753)) = hAPP(hAPP(c_Set_Oinsert(_u13757), _u13761), c_Map_Odom(_u13757, _u13755, _u13759))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__graph__permute__diff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__graph__permute__diff-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13762) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13762, _u13762, c_Groups_Otimes__class_Otimes(_u13762), _u13763, _u13764), _u13765)) | ~hBOOL(hAPP(hAPP(c_member(_u13762), _u13766), _u13764)) | hBOOL(hAPP(hAPP(c_member(_u13762), _u13763), _u13764)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13762, _u13762, c_Groups_Otimes__class_Otimes(_u13762), _u13766, hAPP(hAPP(c_Set_Oinsert(_u13762), _u13763), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13762, tc_HOL_Obool)), _u13764), hAPP(hAPP(c_Set_Oinsert(_u13762), _u13766), c_Orderings_Obot__class_Obot(tc_fun(_u13762, tc_HOL_Obool)))))), _u13765)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_ran__restrictD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_ran__restrictD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13768), _u13769), c_Map_Oran(_u13770, _u13768, c_Map_Orestrict__map(_u13770, _u13768, _u13771, _u13772)))) | hBOOL(hAPP(hAPP(c_member(_u13770), skolem286(_u13772, _u13771, _u13770, _u13769, _u13768)), _u13772)) )).
% 27.68/27.90 cnf(fact_ran__restrictD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13768), _u13769), c_Map_Oran(_u13770, _u13768, c_Map_Orestrict__map(_u13770, _u13768, _u13771, _u13772)))) | ( hAPP(_u13771, skolem286(_u13772, _u13771, _u13770, _u13769, _u13768)) = hAPP(c_Option_Ooption_OSome(_u13768), _u13769)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13776, hAPP(hAPP(c_COMBC(_u13776, tc_fun(tc_prod(_u13776, _u13776), tc_HOL_Obool), tc_fun(_u13776, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13776, tc_fun(tc_fun(tc_prod(_u13776, _u13776), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13776, _u13776), tc_HOL_Obool), tc_fun(_u13776, tc_HOL_Obool)), _u13776), c_COMBC(_u13776, tc_fun(tc_prod(_u13776, _u13776), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13776, tc_prod(_u13776, _u13776)), tc_fun(_u13776, tc_fun(tc_fun(tc_prod(_u13776, _u13776), tc_HOL_Obool), tc_HOL_Obool)), _u13776), hAPP(c_COMBB(tc_prod(_u13776, _u13776), tc_fun(tc_fun(tc_prod(_u13776, _u13776), tc_HOL_Obool), tc_HOL_Obool), _u13776), c_member(tc_prod(_u13776, _u13776)))), c_Product__Type_OPair(_u13776, _u13776)))), _u13778)), _u13780)) | hBOOL(hAPP(hAPP(c_member(_u13776), _u13780), c_Wellfounded_Oacc(_u13776, _u13778))) )).
% 27.68/27.90 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13777), _u13781), c_Wellfounded_Oacc(_u13777, _u13779))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13777, hAPP(hAPP(c_COMBC(_u13777, tc_fun(tc_prod(_u13777, _u13777), tc_HOL_Obool), tc_fun(_u13777, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13777, tc_fun(tc_fun(tc_prod(_u13777, _u13777), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13777, _u13777), tc_HOL_Obool), tc_fun(_u13777, tc_HOL_Obool)), _u13777), c_COMBC(_u13777, tc_fun(tc_prod(_u13777, _u13777), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13777, tc_prod(_u13777, _u13777)), tc_fun(_u13777, tc_fun(tc_fun(tc_prod(_u13777, _u13777), tc_HOL_Obool), tc_HOL_Obool)), _u13777), hAPP(c_COMBB(tc_prod(_u13777, _u13777), tc_fun(tc_fun(tc_prod(_u13777, _u13777), tc_HOL_Obool), tc_HOL_Obool), _u13777), c_member(tc_prod(_u13777, _u13777)))), c_Product__Type_OPair(_u13777, _u13777)))), _u13779)), _u13781)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__graph__imp__finite ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__graph__imp__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13782, _u13783, _u13784, _u13785, _u13786), _u13787)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13782), _u13786)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_empty__fold__graphE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_empty__fold__graphE-1, axiom, ( ( _u13792 = _u13791) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13788, _u13789, _u13790, _u13791, c_Orderings_Obot__class_Obot(tc_fun(_u13788, tc_HOL_Obool))), _u13792)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__graph_OemptyI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__graph_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13793, _u13794, _u13795, _u13796, c_Orderings_Obot__class_Obot(tc_fun(_u13793, tc_HOL_Obool))), _u13796)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__graph_Oequations_I1_J ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__graph_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13797, _u13798, _u13799, _u13800, c_Orderings_Obot__class_Obot(tc_fun(_u13797, tc_HOL_Obool))), _u13800)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__graph_OinsertI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__graph_OinsertI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13801), _u13802), _u13803)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13801, _u13804, _u13805, _u13806, _u13803), _u13807)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13801, _u13804, _u13805, _u13806, hAPP(hAPP(c_Set_Oinsert(_u13801), _u13802), _u13803)), hAPP(hAPP(_u13805, _u13802), _u13807))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_acc__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13808, _u13808), tc_HOL_Obool)), _u13809), _u13810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13808, tc_HOL_Obool)), c_Wellfounded_Oacc(_u13808, _u13810)), c_Wellfounded_Oacc(_u13808, _u13809))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__graph__insert__swap ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__graph__insert__swap-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13811) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13811, _u13811, c_Groups_Otimes__class_Otimes(_u13811), _u13812, _u13813), _u13814)) | hBOOL(hAPP(hAPP(c_member(_u13811), _u13812), _u13813)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13811, _u13811, c_Groups_Otimes__class_Otimes(_u13811), _u13815, hAPP(hAPP(c_Set_Oinsert(_u13811), _u13812), _u13813)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13811), _u13815), _u13814))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13816), _u13817), c_Wellfounded_Oacc(_u13816, _u13818))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13816, _u13816)), hAPP(hAPP(c_Product__Type_OPair(_u13816, _u13816), _u13819), _u13817)), _u13818)) | hBOOL(hAPP(hAPP(c_member(_u13816), _u13819), c_Wellfounded_Oacc(_u13816, _u13818))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13825), _u13827), c_Wellfounded_Oacc(_u13825, _u13829))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13825, _u13825)), hAPP(hAPP(c_Product__Type_OPair(_u13825, _u13825), _u13820), _u13827)), _u13829)) | hBOOL(hAPP(hAPP(c_member(_u13825), _u13820), c_Wellfounded_Oacc(_u13825, _u13829))) )).
% 27.68/27.90 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13826), _u13828), c_Wellfounded_Oacc(_u13826, _u13830))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13826, _u13826)), hAPP(hAPP(c_Product__Type_OPair(_u13826, _u13826), skolem287(_u13830, _u13828, _u13826)), _u13828)), _u13830)) )).
% 27.68/27.90 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13826), _u13828), c_Wellfounded_Oacc(_u13826, _u13830))) | ~hBOOL(hAPP(hAPP(c_member(_u13826), skolem287(_u13830, _u13828, _u13826)), c_Wellfounded_Oacc(_u13826, _u13830))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Diff1__fold__graph ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Diff1__fold__graph-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13831, _u13832, _u13833, _u13834, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13831, tc_HOL_Obool)), _u13835), hAPP(hAPP(c_Set_Oinsert(_u13831), _u13836), c_Orderings_Obot__class_Obot(tc_fun(_u13831, tc_HOL_Obool))))), _u13837)) | ~hBOOL(hAPP(hAPP(c_member(_u13831), _u13836), _u13835)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13831, _u13832, _u13833, _u13834, _u13835), hAPP(hAPP(_u13833, _u13836), _u13837))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1Set_Ointros ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1Set_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13838, _u13838, _u13839, _u13840, _u13841), _u13842)) | hBOOL(hAPP(hAPP(c_member(_u13838), _u13840), _u13841)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13838, _u13839, hAPP(hAPP(c_Set_Oinsert(_u13838), _u13840), _u13841)), _u13842)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_max__extp_Oequations ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_max__extp_Oequations-1, axiom, ( ~c_Wellfounded_Omax__extp(_u13851, _u13853, _u13855, _u13857) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13851), _u13855)) )).
% 27.68/27.90 cnf(fact_max__extp_Oequations-2, axiom, ( ~c_Wellfounded_Omax__extp(_u13851, _u13853, _u13855, _u13857) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13851), _u13857)) )).
% 27.68/27.90 cnf(fact_max__extp_Oequations-3, axiom, ( ~c_Wellfounded_Omax__extp(_u13851, _u13853, _u13855, _u13857) | ( _u13857 != c_Orderings_Obot__class_Obot(tc_fun(_u13851, tc_HOL_Obool))) )).
% 27.68/27.90 cnf(fact_max__extp_Oequations-4, axiom, ( ~c_Wellfounded_Omax__extp(_u13851, _u13853, _u13855, _u13857) | ~hBOOL(hAPP(hAPP(c_member(_u13851), _u13844), _u13855)) | hBOOL(hAPP(hAPP(c_member(_u13851), skolem288(_u13857, _u13855, _u13853, _u13851, _u13844)), _u13857)) )).
% 27.68/27.90 cnf(fact_max__extp_Oequations-5, axiom, ( ~c_Wellfounded_Omax__extp(_u13851, _u13853, _u13855, _u13857) | ~hBOOL(hAPP(hAPP(c_member(_u13851), _u13844), _u13855)) | hBOOL(hAPP(hAPP(_u13853, _u13844), skolem288(_u13857, _u13855, _u13853, _u13851, _u13844))) )).
% 27.68/27.90 cnf(fact_max__extp_Oequations-6, axiom, ( c_Wellfounded_Omax__extp(_u13852, _u13854, _u13856, _u13858) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13852), _u13856)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13852), _u13858)) | ( _u13858 = c_Orderings_Obot__class_Obot(tc_fun(_u13852, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13852), skolem289(_u13858, _u13856, _u13854, _u13852)), _u13856)) )).
% 27.68/27.90 cnf(fact_max__extp_Oequations-7, axiom, ( c_Wellfounded_Omax__extp(_u13852, _u13854, _u13856, _u13858) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13852), _u13856)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13852), _u13858)) | ( _u13858 = c_Orderings_Obot__class_Obot(tc_fun(_u13852, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13852), _u13845), _u13858)) | ~hBOOL(hAPP(hAPP(_u13854, skolem289(_u13858, _u13856, _u13854, _u13852)), _u13845)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_max__ext_Ointros ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_max__ext_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13861), _u13862)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13861), _u13863)) | ( _u13863 = c_Orderings_Obot__class_Obot(tc_fun(_u13861, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13861, tc_HOL_Obool), tc_fun(_u13861, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13861, tc_HOL_Obool), tc_fun(_u13861, tc_HOL_Obool)), _u13862), _u13863)), c_Wellfounded_Omax__ext(_u13861, _u13864))) | hBOOL(hAPP(hAPP(c_member(_u13861), skolem290(_u13864, _u13863, _u13862, _u13861)), _u13862)) )).
% 27.68/27.90 cnf(fact_max__ext_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13861), _u13862)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13861), _u13863)) | ( _u13863 = c_Orderings_Obot__class_Obot(tc_fun(_u13861, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13861, tc_HOL_Obool), tc_fun(_u13861, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13861, tc_HOL_Obool), tc_fun(_u13861, tc_HOL_Obool)), _u13862), _u13863)), c_Wellfounded_Omax__ext(_u13861, _u13864))) | ~hBOOL(hAPP(hAPP(c_member(_u13861), _u13859), _u13863)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13861, _u13861)), hAPP(hAPP(c_Product__Type_OPair(_u13861, _u13861), skolem290(_u13864, _u13863, _u13862, _u13861)), _u13859)), _u13864)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1Set__nonempty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1Set__nonempty-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13865, _u13866, _u13867), _u13868)) | ( _u13867 != c_Orderings_Obot__class_Obot(tc_fun(_u13865, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_empty__fold1SetE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_empty__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13869, _u13870, c_Orderings_Obot__class_Obot(tc_fun(_u13869, tc_HOL_Obool))), _u13871)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1Set__sing ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1Set__sing-1, axiom, ( ( _u13880 = _u13882) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13876, _u13878, hAPP(hAPP(c_Set_Oinsert(_u13876), _u13880), c_Orderings_Obot__class_Obot(tc_fun(_u13876, tc_HOL_Obool)))), _u13882)) )).
% 27.68/27.90 cnf(fact_fold1Set__sing-2, axiom, ( ( _u13881 != _u13883) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13877, _u13879, hAPP(hAPP(c_Set_Oinsert(_u13877), _u13881), c_Orderings_Obot__class_Obot(tc_fun(_u13877, tc_HOL_Obool)))), _u13883)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1Set_Oequations ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1Set_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13893, _u13895, hAPP(hAPP(c_Set_Oinsert(_u13893), _u13897), _u13899)), _u13901)) | ( hAPP(hAPP(c_Set_Oinsert(_u13893), _u13897), _u13899) = hAPP(hAPP(c_Set_Oinsert(_u13893), skolem291(_u13901, _u13899, _u13897, _u13895, _u13893)), skolem292(_u13901, _u13899, _u13897, _u13895, _u13893))) )).
% 27.68/27.90 cnf(fact_fold1Set_Oequations-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13893, _u13895, hAPP(hAPP(c_Set_Oinsert(_u13893), _u13897), _u13899)), _u13901)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13893, _u13893, _u13895, skolem291(_u13901, _u13899, _u13897, _u13895, _u13893), skolem292(_u13901, _u13899, _u13897, _u13895, _u13893)), _u13901)) )).
% 27.68/27.90 cnf(fact_fold1Set_Oequations-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13893, _u13895, hAPP(hAPP(c_Set_Oinsert(_u13893), _u13897), _u13899)), _u13901)) | ~hBOOL(hAPP(hAPP(c_member(_u13893), skolem291(_u13901, _u13899, _u13897, _u13895, _u13893)), skolem292(_u13901, _u13899, _u13897, _u13895, _u13893))) )).
% 27.68/27.90 cnf(fact_fold1Set_Oequations-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u13894), _u13898), _u13900) != hAPP(hAPP(c_Set_Oinsert(_u13894), _u13887), _u13886)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13894, _u13894, _u13896, _u13887, _u13886), _u13902)) | hBOOL(hAPP(hAPP(c_member(_u13894), _u13887), _u13886)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13894, _u13896, hAPP(hAPP(c_Set_Oinsert(_u13894), _u13898), _u13900)), _u13902)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_insert__fold1SetE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_insert__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13905, _u13906, hAPP(hAPP(c_Set_Oinsert(_u13905), _u13907), _u13908)), _u13909)) | ( hAPP(hAPP(c_Set_Oinsert(_u13905), _u13907), _u13908) = hAPP(hAPP(c_Set_Oinsert(_u13905), skolem293(_u13909, _u13908, _u13907, _u13906, _u13905)), skolem294(_u13909, _u13908, _u13907, _u13906, _u13905))) )).
% 27.68/27.90 cnf(fact_insert__fold1SetE-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13905, _u13906, hAPP(hAPP(c_Set_Oinsert(_u13905), _u13907), _u13908)), _u13909)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13905, _u13905, _u13906, skolem293(_u13909, _u13908, _u13907, _u13906, _u13905), skolem294(_u13909, _u13908, _u13907, _u13906, _u13905)), _u13909)) )).
% 27.68/27.90 cnf(fact_insert__fold1SetE-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13905, _u13906, hAPP(hAPP(c_Set_Oinsert(_u13905), _u13907), _u13908)), _u13909)) | ~hBOOL(hAPP(hAPP(c_member(_u13905), skolem293(_u13909, _u13908, _u13907, _u13906, _u13905)), skolem294(_u13909, _u13908, _u13907, _u13906, _u13905))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_image__split__eq__Sigma ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_image__split__eq__Sigma-1, axiom, ( ( hAPP(c_Set_Oimage(_u13910, tc_prod(_u13911, _u13912), hAPP(hAPP(c_COMBS(_u13910, _u13912, tc_prod(_u13911, _u13912)), hAPP(hAPP(c_COMBB(_u13911, tc_fun(_u13912, tc_prod(_u13911, _u13912)), _u13910), c_Product__Type_OPair(_u13911, _u13912)), _u13913)), _u13914)), _u13915) = hAPP(hAPP(c_Product__Type_OSigma(_u13911, _u13912), hAPP(c_Set_Oimage(_u13910, _u13911, _u13913), _u13915)), hAPP(hAPP(c_COMBB(tc_fun(_u13910, tc_HOL_Obool), tc_fun(_u13912, tc_HOL_Obool), _u13911), c_Set_Oimage(_u13910, _u13912, _u13914)), hAPP(hAPP(c_COMBC(_u13911, tc_fun(_u13910, tc_HOL_Obool), tc_fun(_u13910, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13910, tc_HOL_Obool), tc_fun(tc_fun(_u13910, tc_HOL_Obool), tc_fun(_u13910, tc_HOL_Obool)), _u13911), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13910, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13911, tc_HOL_Obool), tc_fun(_u13910, tc_HOL_Obool), _u13911), c_Set_Ovimage(_u13910, _u13911, _u13913)), hAPP(hAPP(c_COMBC(_u13911, tc_fun(_u13911, tc_HOL_Obool), tc_fun(_u13911, tc_HOL_Obool)), c_Set_Oinsert(_u13911)), c_Orderings_Obot__class_Obot(tc_fun(_u13911, tc_HOL_Obool)))))), _u13915)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_SigmaI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_SigmaI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13916), _u13917), _u13918)) | ~hBOOL(hAPP(hAPP(c_member(_u13919), _u13920), hAPP(_u13921, _u13917))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13916, _u13919)), hAPP(hAPP(c_Product__Type_OPair(_u13916, _u13919), _u13917), _u13920)), hAPP(hAPP(c_Product__Type_OSigma(_u13916, _u13919), _u13918), _u13921))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Sigma__Diff__distrib2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Sigma__Diff__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13922, _u13923), _u13924), hAPP(hAPP(c_COMBS(_u13922, tc_fun(_u13923, tc_HOL_Obool), tc_fun(_u13923, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13923, tc_HOL_Obool), tc_fun(tc_fun(_u13923, tc_HOL_Obool), tc_fun(_u13923, tc_HOL_Obool)), _u13922), c_Groups_Ominus__class_Ominus(tc_fun(_u13923, tc_HOL_Obool))), _u13925)), _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), _u13925)), hAPP(hAPP(c_Product__Type_OSigma(_u13922, _u13923), _u13924), _u13926))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Times__Diff__distrib1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Times__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)), hAPP(c_COMBK(tc_fun(_u13928, tc_HOL_Obool), _u13927), _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), hAPP(c_COMBK(tc_fun(_u13928, tc_HOL_Obool), _u13927), _u13931))), hAPP(hAPP(c_Product__Type_OSigma(_u13927, _u13928), _u13930), hAPP(c_COMBK(tc_fun(_u13928, tc_HOL_Obool), _u13927), _u13931)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Sigma__Diff__distrib1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Sigma__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13932, _u13933), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13932, tc_HOL_Obool)), _u13934), _u13935)), _u13936) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13932, _u13933), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13932, _u13933), _u13934), _u13936)), hAPP(hAPP(c_Product__Type_OSigma(_u13932, _u13933), _u13935), _u13936))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Times__eq__cancel2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Times__eq__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13937), _u13938), _u13939)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13940, _u13937), _u13941), hAPP(c_COMBK(tc_fun(_u13937, tc_HOL_Obool), _u13940), _u13939)) != hAPP(hAPP(c_Product__Type_OSigma(_u13940, _u13937), _u13942), hAPP(c_COMBK(tc_fun(_u13937, tc_HOL_Obool), _u13940), _u13939))) | ( _u13941 = _u13942) )).
% 27.68/27.90 cnf(fact_Times__eq__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13937), _u13938), _u13939)) | ( _u13941 != _u13942) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13940, _u13937), _u13941), hAPP(c_COMBK(tc_fun(_u13937, tc_HOL_Obool), _u13940), _u13939)) = hAPP(hAPP(c_Product__Type_OSigma(_u13940, _u13937), _u13942), hAPP(c_COMBK(tc_fun(_u13937, tc_HOL_Obool), _u13940), _u13939))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Sigma__empty1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Sigma__empty1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13943, _u13944), c_Orderings_Obot__class_Obot(tc_fun(_u13943, tc_HOL_Obool))), _u13945) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13943, _u13944), tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_UNIV__char ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_UNIV__char-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(tc_String_Ochar, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_prod(tc_String_Onibble, tc_String_Onibble), tc_String_Ochar, hAPP(c_Product__Type_Oprod_Oprod__case(tc_String_Onibble, tc_String_Onibble, tc_String_Ochar), c_String_Ochar_OChar)), hAPP(hAPP(c_Product__Type_OSigma(tc_String_Onibble, tc_String_Onibble), c_Orderings_Otop__class_Otop(tc_fun(tc_String_Onibble, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(tc_String_Onibble, tc_HOL_Obool), tc_String_Onibble), c_Orderings_Otop__class_Otop(tc_fun(tc_String_Onibble, tc_HOL_Obool)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_card__cartesian__product ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_card__cartesian__product-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13946, _u13947)), hAPP(hAPP(c_Product__Type_OSigma(_u13946, _u13947), _u13948), hAPP(c_COMBK(tc_fun(_u13947, tc_HOL_Obool), _u13946), _u13949))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13946), _u13948)), hAPP(c_Finite__Set_Ocard(_u13947), _u13949))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum__cartesian__product ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13950) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13951, _u13950), hAPP(hAPP(c_COMBC(_u13951, tc_fun(_u13952, tc_HOL_Obool), _u13950), hAPP(hAPP(c_COMBB(tc_fun(_u13952, _u13950), tc_fun(tc_fun(_u13952, tc_HOL_Obool), _u13950), _u13951), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13952, _u13950)), _u13953)), _u13954)), _u13955) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13951, _u13952), _u13950), hAPP(c_Product__Type_Oprod_Oprod__case(_u13951, _u13952, _u13950), _u13953)), hAPP(hAPP(c_Product__Type_OSigma(_u13951, _u13952), _u13955), hAPP(c_COMBK(tc_fun(_u13952, tc_HOL_Obool), _u13951), _u13954)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Sigma__empty2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Sigma__empty2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13956, _u13957), _u13958), hAPP(c_COMBK(tc_fun(_u13957, tc_HOL_Obool), _u13956), c_Orderings_Obot__class_Obot(tc_fun(_u13957, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13956, _u13957), tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Times__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Times__empty-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13963, _u13965), _u13967), hAPP(c_COMBK(tc_fun(_u13965, tc_HOL_Obool), _u13963), _u13969)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13963, _u13965), tc_HOL_Obool))) | ( _u13967 = c_Orderings_Obot__class_Obot(tc_fun(_u13963, tc_HOL_Obool))) | ( _u13969 = c_Orderings_Obot__class_Obot(tc_fun(_u13965, tc_HOL_Obool))) )).
% 27.68/27.90 cnf(fact_Times__empty-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13964, _u13966), _u13968), hAPP(c_COMBK(tc_fun(_u13966, tc_HOL_Obool), _u13964), _u13970)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13964, _u13966), tc_HOL_Obool))) | ( _u13968 != c_Orderings_Obot__class_Obot(tc_fun(_u13964, tc_HOL_Obool))) )).
% 27.68/27.90 cnf(fact_Times__empty-3, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13964, _u13966), _u13968), hAPP(c_COMBK(tc_fun(_u13966, tc_HOL_Obool), _u13964), _u13970)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13964, _u13966), tc_HOL_Obool))) | ( _u13970 != c_Orderings_Obot__class_Obot(tc_fun(_u13966, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Compl__Times__UNIV1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Compl__Times__UNIV1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13971, _u13972), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13971, _u13972), c_Orderings_Otop__class_Otop(tc_fun(_u13971, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13972, tc_HOL_Obool), _u13971), _u13973))) = hAPP(hAPP(c_Product__Type_OSigma(_u13971, _u13972), c_Orderings_Otop__class_Otop(tc_fun(_u13971, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13972, tc_HOL_Obool), _u13971), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13972, tc_HOL_Obool)), _u13973)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Compl__Times__UNIV2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Compl__Times__UNIV2-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(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), c_Orderings_Otop__class_Otop(tc_fun(_u13975, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u13974, _u13975), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13974, tc_HOL_Obool)), _u13976)), hAPP(c_COMBK(tc_fun(_u13975, tc_HOL_Obool), _u13974), c_Orderings_Otop__class_Otop(tc_fun(_u13975, tc_HOL_Obool))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setprod__cartesian__product ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setprod__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13977) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13978, _u13977), hAPP(hAPP(c_COMBC(_u13978, tc_fun(_u13979, tc_HOL_Obool), _u13977), hAPP(hAPP(c_COMBB(tc_fun(_u13979, _u13977), tc_fun(tc_fun(_u13979, tc_HOL_Obool), _u13977), _u13978), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13979, _u13977)), _u13980)), _u13981)), _u13982) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13978, _u13979), _u13977), hAPP(c_Product__Type_Oprod_Oprod__case(_u13978, _u13979, _u13977), _u13980)), hAPP(hAPP(c_Product__Type_OSigma(_u13978, _u13979), _u13982), hAPP(c_COMBK(tc_fun(_u13979, tc_HOL_Obool), _u13978), _u13981)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Sigma__Un__distrib1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Sigma__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13983, _u13984), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13983, tc_HOL_Obool)), _u13985), _u13986)), _u13987) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13983, _u13984), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13983, _u13984), _u13985), _u13987)), hAPP(hAPP(c_Product__Type_OSigma(_u13983, _u13984), _u13986), _u13987))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Times__Un__distrib1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Times__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13988, _u13989), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13988, tc_HOL_Obool)), _u13990), _u13991)), hAPP(c_COMBK(tc_fun(_u13989, tc_HOL_Obool), _u13988), _u13992)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13988, _u13989), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13988, _u13989), _u13990), hAPP(c_COMBK(tc_fun(_u13989, tc_HOL_Obool), _u13988), _u13992))), hAPP(hAPP(c_Product__Type_OSigma(_u13988, _u13989), _u13991), hAPP(c_COMBK(tc_fun(_u13989, tc_HOL_Obool), _u13988), _u13992)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Sigma__Un__distrib2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Sigma__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13993, _u13994), _u13995), hAPP(hAPP(c_COMBS(_u13993, tc_fun(_u13994, tc_HOL_Obool), tc_fun(_u13994, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13994, tc_HOL_Obool), tc_fun(tc_fun(_u13994, tc_HOL_Obool), tc_fun(_u13994, tc_HOL_Obool)), _u13993), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13994, tc_HOL_Obool))), _u13996)), _u13997)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13993, _u13994), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13993, _u13994), _u13995), _u13996)), hAPP(hAPP(c_Product__Type_OSigma(_u13993, _u13994), _u13995), _u13997))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_swap__product ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_swap__product-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13998, _u13999), tc_prod(_u13999, _u13998), hAPP(c_Product__Type_Oprod_Oprod__case(_u13998, _u13999, tc_prod(_u13999, _u13998)), hAPP(c_COMBC(_u13999, _u13998, tc_prod(_u13999, _u13998)), c_Product__Type_OPair(_u13999, _u13998)))), hAPP(hAPP(c_Product__Type_OSigma(_u13998, _u13999), _u14000), hAPP(c_COMBK(tc_fun(_u13999, tc_HOL_Obool), _u13998), _u14001))) = hAPP(hAPP(c_Product__Type_OSigma(_u13999, _u13998), _u14001), hAPP(c_COMBK(tc_fun(_u13998, tc_HOL_Obool), _u13999), _u14000))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__cartesian__product ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__cartesian__product-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14002), _u14003)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14004), _u14005)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14002, _u14004)), hAPP(hAPP(c_Product__Type_OSigma(_u14002, _u14004), _u14003), hAPP(c_COMBK(tc_fun(_u14004, tc_HOL_Obool), _u14002), _u14005)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_equiv__type ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_equiv__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u14006, _u14007, _u14008) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14006, _u14006), tc_HOL_Obool)), _u14008), hAPP(hAPP(c_Product__Type_OSigma(_u14006, _u14006), _u14007), hAPP(c_COMBK(tc_fun(_u14006, tc_HOL_Obool), _u14006), _u14007)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Sigma__Int__distrib1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Sigma__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14010), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14009, tc_HOL_Obool)), _u14011), _u14012)), _u14013) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14009, _u14010), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14010), _u14011), _u14013)), hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14010), _u14012), _u14013))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Times__Int__distrib1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Times__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14014, _u14015), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14014, tc_HOL_Obool)), _u14016), _u14017)), hAPP(c_COMBK(tc_fun(_u14015, tc_HOL_Obool), _u14014), _u14018)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14014, _u14015), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14014, _u14015), _u14016), hAPP(c_COMBK(tc_fun(_u14015, tc_HOL_Obool), _u14014), _u14018))), hAPP(hAPP(c_Product__Type_OSigma(_u14014, _u14015), _u14017), hAPP(c_COMBK(tc_fun(_u14015, tc_HOL_Obool), _u14014), _u14018)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Sigma__Int__distrib2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Sigma__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14019, _u14020), _u14021), hAPP(hAPP(c_COMBS(_u14019, tc_fun(_u14020, tc_HOL_Obool), tc_fun(_u14020, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14020, tc_HOL_Obool), tc_fun(tc_fun(_u14020, tc_HOL_Obool), tc_fun(_u14020, tc_HOL_Obool)), _u14019), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14020, tc_HOL_Obool))), _u14022)), _u14023)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14019, _u14020), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14019, _u14020), _u14021), _u14022)), hAPP(hAPP(c_Product__Type_OSigma(_u14019, _u14020), _u14021), _u14023))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Id__on__subset__Times ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Id__on__subset__Times-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14024, _u14024), tc_HOL_Obool)), c_Relation_OId__on(_u14024, _u14025)), hAPP(hAPP(c_Product__Type_OSigma(_u14024, _u14024), _u14025), hAPP(c_COMBK(tc_fun(_u14024, tc_HOL_Obool), _u14024), _u14025)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_UNIV__Times__UNIV ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_UNIV__Times__UNIV-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14026, _u14027), c_Orderings_Otop__class_Otop(tc_fun(_u14026, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u14027, tc_HOL_Obool), _u14026), c_Orderings_Otop__class_Otop(tc_fun(_u14027, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u14026, _u14027), tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_mem__Sigma__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_mem__Sigma__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14034, _u14036)), hAPP(hAPP(c_Product__Type_OPair(_u14034, _u14036), _u14038), _u14040)), hAPP(hAPP(c_Product__Type_OSigma(_u14034, _u14036), _u14042), _u14044))) | hBOOL(hAPP(hAPP(c_member(_u14034), _u14038), _u14042)) )).
% 27.68/27.90 cnf(fact_mem__Sigma__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14034, _u14036)), hAPP(hAPP(c_Product__Type_OPair(_u14034, _u14036), _u14038), _u14040)), hAPP(hAPP(c_Product__Type_OSigma(_u14034, _u14036), _u14042), _u14044))) | hBOOL(hAPP(hAPP(c_member(_u14036), _u14040), hAPP(_u14044, _u14038))) )).
% 27.68/27.90 cnf(fact_mem__Sigma__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14035), _u14039), _u14043)) | ~hBOOL(hAPP(hAPP(c_member(_u14037), _u14041), hAPP(_u14045, _u14039))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14035, _u14037)), hAPP(hAPP(c_Product__Type_OPair(_u14035, _u14037), _u14039), _u14041)), hAPP(hAPP(c_Product__Type_OSigma(_u14035, _u14037), _u14043), _u14045))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_SigmaD1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_SigmaD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14046, _u14047)), hAPP(hAPP(c_Product__Type_OPair(_u14046, _u14047), _u14048), _u14049)), hAPP(hAPP(c_Product__Type_OSigma(_u14046, _u14047), _u14050), _u14051))) | hBOOL(hAPP(hAPP(c_member(_u14046), _u14048), _u14050)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_SigmaD2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_SigmaD2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14053), _u14055), hAPP(_u14057, _u14054))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14052, _u14053)), hAPP(hAPP(c_Product__Type_OPair(_u14052, _u14053), _u14054), _u14055)), hAPP(hAPP(c_Product__Type_OSigma(_u14052, _u14053), _u14056), _u14057))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_SigmaE2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_SigmaE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14058, _u14059)), hAPP(hAPP(c_Product__Type_OPair(_u14058, _u14059), _u14060), _u14061)), hAPP(hAPP(c_Product__Type_OSigma(_u14058, _u14059), _u14062), _u14063))) | hBOOL(hAPP(hAPP(c_member(_u14058), _u14060), _u14062)) )).
% 27.68/27.90 cnf(fact_SigmaE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14058, _u14059)), hAPP(hAPP(c_Product__Type_OPair(_u14058, _u14059), _u14060), _u14061)), hAPP(hAPP(c_Product__Type_OSigma(_u14058, _u14059), _u14062), _u14063))) | hBOOL(hAPP(hAPP(c_member(_u14059), _u14061), hAPP(_u14063, _u14060))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_card__cartesian__product__singleton ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_card__cartesian__product__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u14064, _u14065)), hAPP(hAPP(c_Product__Type_OSigma(_u14064, _u14065), hAPP(hAPP(c_Set_Oinsert(_u14064), _u14066), c_Orderings_Obot__class_Obot(tc_fun(_u14064, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u14065, tc_HOL_Obool), _u14064), _u14067))) = hAPP(c_Finite__Set_Ocard(_u14065), _u14067)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Times__subset__cancel2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Times__subset__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14068), _u14069), _u14070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14071, _u14068), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14071, _u14068), _u14072), hAPP(c_COMBK(tc_fun(_u14068, tc_HOL_Obool), _u14071), _u14070))), hAPP(hAPP(c_Product__Type_OSigma(_u14071, _u14068), _u14073), hAPP(c_COMBK(tc_fun(_u14068, tc_HOL_Obool), _u14071), _u14070)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14071, tc_HOL_Obool)), _u14072), _u14073)) )).
% 27.68/27.90 cnf(fact_Times__subset__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14068), _u14069), _u14070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14071, tc_HOL_Obool)), _u14072), _u14073)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14071, _u14068), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14071, _u14068), _u14072), hAPP(c_COMBK(tc_fun(_u14068, tc_HOL_Obool), _u14071), _u14070))), hAPP(hAPP(c_Product__Type_OSigma(_u14071, _u14068), _u14073), hAPP(c_COMBK(tc_fun(_u14068, tc_HOL_Obool), _u14071), _u14070)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Image__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Image__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14074, _u14075), tc_HOL_Obool)), _u14076), hAPP(hAPP(c_Product__Type_OSigma(_u14074, _u14075), _u14077), hAPP(c_COMBK(tc_fun(_u14075, tc_HOL_Obool), _u14074), _u14078)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14075, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14074, _u14075, _u14076), _u14079)), _u14078)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__cartesian__productD2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__cartesian__productD2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14080, _u14081)), hAPP(hAPP(c_Product__Type_OSigma(_u14080, _u14081), _u14082), hAPP(c_COMBK(tc_fun(_u14081, tc_HOL_Obool), _u14080), _u14083)))) | ( _u14082 = c_Orderings_Obot__class_Obot(tc_fun(_u14080, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14081), _u14083)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__cartesian__productD1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__cartesian__productD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14084, _u14085)), hAPP(hAPP(c_Product__Type_OSigma(_u14084, _u14085), _u14086), hAPP(c_COMBK(tc_fun(_u14085, tc_HOL_Obool), _u14084), _u14087)))) | ( _u14087 = c_Orderings_Obot__class_Obot(tc_fun(_u14085, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14084), _u14086)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fst__image__times ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fst__image__times-1, axiom, ( ( _u14092 != c_Orderings_Obot__class_Obot(tc_fun(_u14094, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14096, _u14094), _u14096, c_Product__Type_Ofst(_u14096, _u14094)), hAPP(hAPP(c_Product__Type_OSigma(_u14096, _u14094), _u14098), hAPP(c_COMBK(tc_fun(_u14094, tc_HOL_Obool), _u14096), _u14092))) = c_Orderings_Obot__class_Obot(tc_fun(_u14096, tc_HOL_Obool))) )).
% 27.68/27.90 cnf(fact_fst__image__times-2, axiom, ( ( _u14093 = c_Orderings_Obot__class_Obot(tc_fun(_u14095, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14097, _u14095), _u14097, c_Product__Type_Ofst(_u14097, _u14095)), hAPP(hAPP(c_Product__Type_OSigma(_u14097, _u14095), _u14099), hAPP(c_COMBK(tc_fun(_u14095, tc_HOL_Obool), _u14097), _u14093))) = _u14099) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_snd__image__times ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_snd__image__times-1, axiom, ( ( _u14104 != c_Orderings_Obot__class_Obot(tc_fun(_u14106, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14106, _u14108), _u14108, c_Product__Type_Osnd(_u14106, _u14108)), hAPP(hAPP(c_Product__Type_OSigma(_u14106, _u14108), _u14104), hAPP(c_COMBK(tc_fun(_u14108, tc_HOL_Obool), _u14106), _u14110))) = c_Orderings_Obot__class_Obot(tc_fun(_u14108, tc_HOL_Obool))) )).
% 27.68/27.90 cnf(fact_snd__image__times-2, axiom, ( ( _u14105 = c_Orderings_Obot__class_Obot(tc_fun(_u14107, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14107, _u14109), _u14109, c_Product__Type_Osnd(_u14107, _u14109)), hAPP(hAPP(c_Product__Type_OSigma(_u14107, _u14109), _u14105), hAPP(c_COMBK(tc_fun(_u14109, tc_HOL_Obool), _u14107), _u14111))) = _u14111) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_insert__times__insert ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_insert__times__insert-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14112, _u14113), hAPP(hAPP(c_Set_Oinsert(_u14112), _u14114), _u14115)), hAPP(c_COMBK(tc_fun(_u14113, tc_HOL_Obool), _u14112), hAPP(hAPP(c_Set_Oinsert(_u14113), _u14116), _u14117))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14112, _u14113)), hAPP(hAPP(c_Product__Type_OPair(_u14112, _u14113), _u14114), _u14116)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14112, _u14113), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14112, _u14113), _u14115), hAPP(c_COMBK(tc_fun(_u14113, tc_HOL_Obool), _u14112), hAPP(hAPP(c_Set_Oinsert(_u14113), _u14116), _u14117)))), hAPP(hAPP(c_Product__Type_OSigma(_u14112, _u14113), hAPP(hAPP(c_Set_Oinsert(_u14112), _u14114), _u14115)), hAPP(c_COMBK(tc_fun(_u14113, tc_HOL_Obool), _u14112), _u14117))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__equiv__class ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__equiv__class-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14118), _u14119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14118, _u14118), tc_HOL_Obool)), _u14120), hAPP(hAPP(c_Product__Type_OSigma(_u14118, _u14118), _u14119), hAPP(c_COMBK(tc_fun(_u14118, tc_HOL_Obool), _u14118), _u14119)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u14118, tc_HOL_Obool)), _u14121), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u14118), _u14119), _u14120))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14118), _u14121)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_UN__Times__distrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_UN__Times__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u14122, _u14123), tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14122, _u14123), _u14126), hAPP(c_COMBK(tc_fun(_u14123, tc_HOL_Obool), _u14122), _u14127))), hAPP(c_Product__Type_Oprod_Oprod__case(_u14122, _u14123, tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u14122, tc_fun(_u14123, tc_fun(_u14124, tc_fun(_u14125, tc_HOL_Obool))), tc_fun(_u14123, tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14124, tc_fun(_u14125, tc_HOL_Obool)), tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool)), tc_fun(tc_fun(_u14123, tc_fun(_u14124, tc_fun(_u14125, tc_HOL_Obool))), tc_fun(_u14123, tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool))), _u14122), c_COMBB(tc_fun(_u14124, tc_fun(_u14125, tc_HOL_Obool)), tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool), _u14123)), hAPP(hAPP(c_COMBB(tc_fun(_u14124, tc_HOL_Obool), tc_fun(tc_fun(_u14124, tc_fun(_u14125, tc_HOL_Obool)), tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool)), _u14122), c_Product__Type_OSigma(_u14124, _u14125)), _u14128))), hAPP(hAPP(c_COMBB(tc_fun(_u14125, tc_HOL_Obool), tc_fun(_u14124, tc_fun(_u14125, tc_HOL_Obool)), _u14123), c_COMBK(tc_fun(_u14125, tc_HOL_Obool), _u14124)), _u14129)))) = hAPP(hAPP(c_Product__Type_OSigma(_u14124, _u14125), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14122, tc_fun(_u14124, tc_HOL_Obool)), _u14126), _u14128)), hAPP(c_COMBK(tc_fun(_u14125, tc_HOL_Obool), _u14124), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14123, tc_fun(_u14125, tc_HOL_Obool)), _u14127), _u14129)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Sigma__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Sigma__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14130, _u14131), _u14132), _u14133) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14130, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)), _u14132), hAPP(hAPP(c_COMBS(_u14130, tc_fun(_u14131, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)), tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14131, tc_HOL_Obool), tc_fun(tc_fun(_u14131, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)), tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)), _u14130), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14131, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool))), _u14133)), hAPP(hAPP(c_COMBC(_u14130, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool), tc_fun(_u14131, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14131, tc_fun(tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool), tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool), tc_fun(_u14131, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool))), _u14130), c_COMBC(_u14131, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool), tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14131, tc_prod(_u14130, _u14131)), tc_fun(_u14131, tc_fun(tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool), tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool))), _u14130), hAPP(c_COMBB(tc_prod(_u14130, _u14131), tc_fun(tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool), tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)), _u14131), c_Set_Oinsert(tc_prod(_u14130, _u14131)))), c_Product__Type_OPair(_u14130, _u14131)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__quotient ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__quotient-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14134), _u14135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14134, _u14134), tc_HOL_Obool)), _u14136), hAPP(hAPP(c_Product__Type_OSigma(_u14134, _u14134), _u14135), hAPP(c_COMBK(tc_fun(_u14134, tc_HOL_Obool), _u14134), _u14135)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u14134, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u14134), _u14135), _u14136))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__Times ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__Times-1, axiom, ( ( hAPP(c_Set_Ovimage(_u14137, tc_prod(_u14138, _u14139), _u14140), hAPP(hAPP(c_Product__Type_OSigma(_u14138, _u14139), _u14141), hAPP(c_COMBK(tc_fun(_u14139, tc_HOL_Obool), _u14138), _u14142))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14137, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u14137, _u14138, hAPP(c_Fun_Ocomp(tc_prod(_u14138, _u14139), _u14138, _u14137, c_Product__Type_Ofst(_u14138, _u14139)), _u14140)), _u14141)), hAPP(c_Set_Ovimage(_u14137, _u14139, hAPP(c_Fun_Ocomp(tc_prod(_u14138, _u14139), _u14139, _u14137, c_Product__Type_Osnd(_u14138, _u14139)), _u14140)), _u14142))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Ex__inj__on__UNION__Sigma ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Ex__inj__on__UNION__Sigma-1, axiom, ( c_Fun_Oinj__on(_u14144, tc_prod(_u14145, _u14144), skolem295(_u14147, _u14146, _u14145, _u14144), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14145, tc_fun(_u14144, tc_HOL_Obool)), _u14146), _u14147)) )).
% 27.68/27.90 cnf(fact_Ex__inj__on__UNION__Sigma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14145, _u14144), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14144, tc_prod(_u14145, _u14144), skolem295(_u14147, _u14146, _u14145, _u14144)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14145, tc_fun(_u14144, tc_HOL_Obool)), _u14146), _u14147))), hAPP(hAPP(c_Product__Type_OSigma(_u14145, _u14144), _u14146), _u14147))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__image__Sigma ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__image__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14149) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14150), _u14151)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14149, _u14150, c_Groups_Otimes__class_Otimes(_u14149)), hAPP(hAPP(c_COMBS(_u14150, tc_fun(_u14152, tc_HOL_Obool), _u14149), hAPP(hAPP(c_COMBC(_u14150, _u14149, tc_fun(tc_fun(_u14152, tc_HOL_Obool), _u14149)), hAPP(hAPP(c_COMBB(tc_fun(_u14152, _u14149), tc_fun(_u14149, tc_fun(tc_fun(_u14152, tc_HOL_Obool), _u14149)), _u14150), c_Finite__Set_Ofold__image(_u14149, _u14152, c_Groups_Otimes__class_Otimes(_u14149))), _u14154)), c_Groups_Oone__class_Oone(_u14149))), _u14153)), c_Groups_Oone__class_Oone(_u14149)), _u14151) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14149, tc_prod(_u14150, _u14152), c_Groups_Otimes__class_Otimes(_u14149)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14150, _u14152, _u14149), _u14154)), c_Groups_Oone__class_Oone(_u14149)), hAPP(hAPP(c_Product__Type_OSigma(_u14150, _u14152), _u14151), _u14153))) | hBOOL(hAPP(hAPP(c_member(_u14150), skolem296(_u14154, _u14153, _u14152, _u14151, _u14150, _u14149)), _u14151)) )).
% 27.68/27.90 cnf(fact_fold__image__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14149) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14150), _u14151)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14149, _u14150, c_Groups_Otimes__class_Otimes(_u14149)), hAPP(hAPP(c_COMBS(_u14150, tc_fun(_u14152, tc_HOL_Obool), _u14149), hAPP(hAPP(c_COMBC(_u14150, _u14149, tc_fun(tc_fun(_u14152, tc_HOL_Obool), _u14149)), hAPP(hAPP(c_COMBB(tc_fun(_u14152, _u14149), tc_fun(_u14149, tc_fun(tc_fun(_u14152, tc_HOL_Obool), _u14149)), _u14150), c_Finite__Set_Ofold__image(_u14149, _u14152, c_Groups_Otimes__class_Otimes(_u14149))), _u14154)), c_Groups_Oone__class_Oone(_u14149))), _u14153)), c_Groups_Oone__class_Oone(_u14149)), _u14151) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14149, tc_prod(_u14150, _u14152), c_Groups_Otimes__class_Otimes(_u14149)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14150, _u14152, _u14149), _u14154)), c_Groups_Oone__class_Oone(_u14149)), hAPP(hAPP(c_Product__Type_OSigma(_u14150, _u14152), _u14151), _u14153))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14152), hAPP(_u14153, skolem296(_u14154, _u14153, _u14152, _u14151, _u14150, _u14149)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__SigmaI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14156), _u14157)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14156, _u14158)), hAPP(hAPP(c_Product__Type_OSigma(_u14156, _u14158), _u14157), _u14159))) | hBOOL(hAPP(hAPP(c_member(_u14156), skolem297(_u14159, _u14158, _u14157, _u14156)), _u14157)) )).
% 27.68/27.90 cnf(fact_finite__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14156), _u14157)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14156, _u14158)), hAPP(hAPP(c_Product__Type_OSigma(_u14156, _u14158), _u14157), _u14159))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14158), hAPP(_u14159, skolem297(_u14159, _u14158, _u14157, _u14156)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setprod__Sigma ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setprod__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14162), _u14163)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14162, _u14161), hAPP(hAPP(c_COMBS(_u14162, tc_fun(_u14164, tc_HOL_Obool), _u14161), hAPP(hAPP(c_COMBB(tc_fun(_u14164, _u14161), tc_fun(tc_fun(_u14164, tc_HOL_Obool), _u14161), _u14162), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14164, _u14161)), _u14166)), _u14165)), _u14163) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u14162, _u14164), _u14161), hAPP(c_Product__Type_Oprod_Oprod__case(_u14162, _u14164, _u14161), _u14166)), hAPP(hAPP(c_Product__Type_OSigma(_u14162, _u14164), _u14163), _u14165))) | hBOOL(hAPP(hAPP(c_member(_u14162), skolem298(_u14166, _u14165, _u14164, _u14163, _u14162, _u14161)), _u14163)) )).
% 27.68/27.90 cnf(fact_setprod__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14162), _u14163)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14162, _u14161), hAPP(hAPP(c_COMBS(_u14162, tc_fun(_u14164, tc_HOL_Obool), _u14161), hAPP(hAPP(c_COMBB(tc_fun(_u14164, _u14161), tc_fun(tc_fun(_u14164, tc_HOL_Obool), _u14161), _u14162), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14164, _u14161)), _u14166)), _u14165)), _u14163) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u14162, _u14164), _u14161), hAPP(c_Product__Type_Oprod_Oprod__case(_u14162, _u14164, _u14161), _u14166)), hAPP(hAPP(c_Product__Type_OSigma(_u14162, _u14164), _u14163), _u14165))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14164), hAPP(_u14165, skolem298(_u14166, _u14165, _u14164, _u14163, _u14162, _u14161)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum__Sigma ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14168) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14169), _u14170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14169, _u14168), hAPP(hAPP(c_COMBS(_u14169, tc_fun(_u14171, tc_HOL_Obool), _u14168), hAPP(hAPP(c_COMBB(tc_fun(_u14171, _u14168), tc_fun(tc_fun(_u14171, tc_HOL_Obool), _u14168), _u14169), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14171, _u14168)), _u14173)), _u14172)), _u14170) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u14169, _u14171), _u14168), hAPP(c_Product__Type_Oprod_Oprod__case(_u14169, _u14171, _u14168), _u14173)), hAPP(hAPP(c_Product__Type_OSigma(_u14169, _u14171), _u14170), _u14172))) | hBOOL(hAPP(hAPP(c_member(_u14169), skolem299(_u14173, _u14172, _u14171, _u14170, _u14169, _u14168)), _u14170)) )).
% 27.68/27.90 cnf(fact_setsum__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14168) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14169), _u14170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14169, _u14168), hAPP(hAPP(c_COMBS(_u14169, tc_fun(_u14171, tc_HOL_Obool), _u14168), hAPP(hAPP(c_COMBB(tc_fun(_u14171, _u14168), tc_fun(tc_fun(_u14171, tc_HOL_Obool), _u14168), _u14169), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14171, _u14168)), _u14173)), _u14172)), _u14170) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u14169, _u14171), _u14168), hAPP(c_Product__Type_Oprod_Oprod__case(_u14169, _u14171, _u14168), _u14173)), hAPP(hAPP(c_Product__Type_OSigma(_u14169, _u14171), _u14170), _u14172))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14171), hAPP(_u14172, skolem299(_u14173, _u14172, _u14171, _u14170, _u14169, _u14168)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_card__SigmaI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_card__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14175), _u14176)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u14175, _u14177)), hAPP(hAPP(c_Product__Type_OSigma(_u14175, _u14177), _u14176), _u14178)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14175, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14177, tc_HOL_Obool), tc_Nat_Onat, _u14175), c_Finite__Set_Ocard(_u14177)), _u14178)), _u14176)) | hBOOL(hAPP(hAPP(c_member(_u14175), skolem300(_u14178, _u14177, _u14176, _u14175)), _u14176)) )).
% 27.68/27.90 cnf(fact_card__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14175), _u14176)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u14175, _u14177)), hAPP(hAPP(c_Product__Type_OSigma(_u14175, _u14177), _u14176), _u14178)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14175, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14177, tc_HOL_Obool), tc_Nat_Onat, _u14175), c_Finite__Set_Ocard(_u14177)), _u14178)), _u14176)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14177), hAPP(_u14178, skolem300(_u14178, _u14177, _u14176, _u14175)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_SigmaE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_SigmaE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14181, _u14182)), _u14183), hAPP(hAPP(c_Product__Type_OSigma(_u14181, _u14182), _u14184), _u14185))) | hBOOL(hAPP(hAPP(c_member(_u14181), skolem301(_u14185, _u14184, _u14183, _u14182, _u14181)), _u14184)) )).
% 27.68/27.90 cnf(fact_SigmaE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14181, _u14182)), _u14183), hAPP(hAPP(c_Product__Type_OSigma(_u14181, _u14182), _u14184), _u14185))) | hBOOL(hAPP(hAPP(c_member(_u14182), skolem302(_u14185, _u14184, _u14183, _u14182, _u14181)), hAPP(_u14185, skolem301(_u14185, _u14184, _u14183, _u14182, _u14181)))) )).
% 27.68/27.90 cnf(fact_SigmaE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14181, _u14182)), _u14183), hAPP(hAPP(c_Product__Type_OSigma(_u14181, _u14182), _u14184), _u14185))) | ( _u14183 = hAPP(hAPP(c_Product__Type_OPair(_u14181, _u14182), skolem301(_u14185, _u14184, _u14183, _u14182, _u14181)), skolem302(_u14185, _u14184, _u14183, _u14182, _u14181))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_map__pair__surj ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_map__pair__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u14186, _u14187, _u14188), c_Orderings_Otop__class_Otop(tc_fun(_u14186, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u14187, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u14189, _u14190, _u14191), c_Orderings_Otop__class_Otop(tc_fun(_u14189, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u14190, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14186, _u14189), tc_prod(_u14187, _u14190), c_Product__Type_Omap__pair(_u14186, _u14187, _u14189, _u14190, _u14188, _u14191)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u14186, _u14189), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u14187, _u14190), tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_map__pair__inj__on ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_map__pair__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u14192, _u14193, _u14194, _u14195) | ~c_Fun_Oinj__on(_u14196, _u14197, _u14198, _u14199) | c_Fun_Oinj__on(tc_prod(_u14192, _u14196), tc_prod(_u14193, _u14197), c_Product__Type_Omap__pair(_u14192, _u14193, _u14196, _u14197, _u14194, _u14198), hAPP(hAPP(c_Product__Type_OSigma(_u14192, _u14196), _u14195), hAPP(c_COMBK(tc_fun(_u14196, tc_HOL_Obool), _u14192), _u14199))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_map__pair__imageI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_map__pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14200, _u14201)), hAPP(hAPP(c_Product__Type_OPair(_u14200, _u14201), _u14202), _u14203)), _u14204)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14205, _u14206)), hAPP(hAPP(c_Product__Type_OPair(_u14205, _u14206), hAPP(_u14207, _u14202)), hAPP(_u14208, _u14203))), hAPP(c_Set_Oimage(tc_prod(_u14200, _u14201), tc_prod(_u14205, _u14206), c_Product__Type_Omap__pair(_u14200, _u14205, _u14201, _u14206, _u14207, _u14208)), _u14204))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fst__comp__map__pair ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fst__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14209, _u14210), _u14209, tc_prod(_u14211, _u14212), c_Product__Type_Ofst(_u14209, _u14210)), c_Product__Type_Omap__pair(_u14211, _u14209, _u14212, _u14210, _u14213, _u14214)) = hAPP(c_Fun_Ocomp(_u14211, _u14209, tc_prod(_u14211, _u14212), _u14213), c_Product__Type_Ofst(_u14211, _u14212))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_snd__comp__map__pair ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_snd__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14215, _u14216), _u14216, tc_prod(_u14217, _u14218), c_Product__Type_Osnd(_u14215, _u14216)), c_Product__Type_Omap__pair(_u14217, _u14215, _u14218, _u14216, _u14219, _u14220)) = hAPP(c_Fun_Ocomp(_u14218, _u14216, tc_prod(_u14217, _u14218), _u14220), c_Product__Type_Osnd(_u14217, _u14218))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_map__pair_Ocomp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_map__pair_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14221, _u14222), tc_prod(_u14223, _u14224), tc_prod(_u14225, _u14226), c_Product__Type_Omap__pair(_u14221, _u14223, _u14222, _u14224, _u14227, _u14228)), c_Product__Type_Omap__pair(_u14225, _u14221, _u14226, _u14222, _u14229, _u14230)) = c_Product__Type_Omap__pair(_u14225, _u14223, _u14226, _u14224, hAPP(c_Fun_Ocomp(_u14221, _u14223, _u14225, _u14227), _u14229), hAPP(c_Fun_Ocomp(_u14222, _u14224, _u14226, _u14228), _u14230))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_map__pair__compose ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_map__pair__compose-1, axiom, ( ( c_Product__Type_Omap__pair(_u14231, _u14232, _u14233, _u14234, hAPP(c_Fun_Ocomp(_u14235, _u14232, _u14231, _u14236), _u14237), hAPP(c_Fun_Ocomp(_u14238, _u14234, _u14233, _u14239), _u14240)) = hAPP(c_Fun_Ocomp(tc_prod(_u14235, _u14238), tc_prod(_u14232, _u14234), tc_prod(_u14231, _u14233), c_Product__Type_Omap__pair(_u14235, _u14232, _u14238, _u14234, _u14236, _u14239)), c_Product__Type_Omap__pair(_u14231, _u14235, _u14233, _u14238, _u14237, _u14240))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_map__pair_Ocompositionality ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_map__pair_Ocompositionality-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u14241, _u14242, _u14243, _u14244, _u14245, _u14246), hAPP(c_Product__Type_Omap__pair(_u14247, _u14241, _u14248, _u14243, _u14249, _u14250), _u14251)) = hAPP(c_Product__Type_Omap__pair(_u14247, _u14242, _u14248, _u14244, hAPP(c_Fun_Ocomp(_u14241, _u14242, _u14247, _u14245), _u14249), hAPP(c_Fun_Ocomp(_u14243, _u14244, _u14248, _u14246), _u14250)), _u14251)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_map__pair__ident ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_map__pair__ident-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u14252, _u14252, _u14253, _u14253, c_COMBI(_u14252), c_COMBI(_u14253)), _u14254) = _u14254) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_snd__prod__fun ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_snd__prod__fun-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u14255, _u14256), hAPP(c_Product__Type_Omap__pair(_u14257, _u14255, _u14258, _u14256, _u14259, _u14260), _u14261)) = hAPP(_u14260, hAPP(c_Product__Type_Osnd(_u14257, _u14258), _u14261))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fst__map__pair ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fst__map__pair-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u14262, _u14263), hAPP(c_Product__Type_Omap__pair(_u14264, _u14262, _u14265, _u14263, _u14266, _u14267), _u14268)) = hAPP(_u14266, hAPP(c_Product__Type_Ofst(_u14264, _u14265), _u14268))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_map__pair__simp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_map__pair__simp-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u14269, _u14270, _u14271, _u14272, _u14273, _u14274), hAPP(hAPP(c_Product__Type_OPair(_u14269, _u14271), _u14275), _u14276)) = hAPP(hAPP(c_Product__Type_OPair(_u14270, _u14272), hAPP(_u14273, _u14275)), hAPP(_u14274, _u14276))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_map__pair__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_map__pair__def-1, axiom, ( ( c_Product__Type_Omap__pair(_u14277, _u14278, _u14279, _u14280, _u14281, _u14282) = hAPP(c_Product__Type_Oprod_Oprod__case(_u14277, _u14279, tc_prod(_u14278, _u14280)), hAPP(hAPP(c_COMBC(_u14277, tc_fun(_u14279, _u14280), tc_fun(_u14279, tc_prod(_u14278, _u14280))), hAPP(hAPP(c_COMBB(tc_fun(_u14280, tc_prod(_u14278, _u14280)), tc_fun(tc_fun(_u14279, _u14280), tc_fun(_u14279, tc_prod(_u14278, _u14280))), _u14277), c_COMBB(_u14280, tc_prod(_u14278, _u14280), _u14279)), hAPP(hAPP(c_COMBB(_u14278, tc_fun(_u14280, tc_prod(_u14278, _u14280)), _u14277), c_Product__Type_OPair(_u14278, _u14280)), _u14281))), _u14282))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_map__pair__surj__on ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_map__pair__surj__on-1, axiom, ( ( hAPP(c_Set_Oimage(_u14283, _u14284, _u14285), _u14286) != _u14287) | ( hAPP(c_Set_Oimage(_u14288, _u14289, _u14290), _u14291) != _u14292) | ( hAPP(c_Set_Oimage(tc_prod(_u14283, _u14288), tc_prod(_u14284, _u14289), c_Product__Type_Omap__pair(_u14283, _u14284, _u14288, _u14289, _u14285, _u14290)), hAPP(hAPP(c_Product__Type_OSigma(_u14283, _u14288), _u14286), hAPP(c_COMBK(tc_fun(_u14288, tc_HOL_Obool), _u14283), _u14291))) = hAPP(hAPP(c_Product__Type_OSigma(_u14284, _u14289), _u14287), hAPP(c_COMBK(tc_fun(_u14289, tc_HOL_Obool), _u14284), _u14292))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_prod__fun__imageE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_prod__fun__imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14296)), _u14297), hAPP(c_Set_Oimage(tc_prod(_u14298, _u14299), tc_prod(_u14295, _u14296), c_Product__Type_Omap__pair(_u14298, _u14295, _u14299, _u14296, _u14300, _u14301)), _u14302))) | ( _u14297 = hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14296), hAPP(_u14300, skolem303(_u14302, _u14301, _u14300, _u14299, _u14298, _u14297, _u14296, _u14295))), hAPP(_u14301, skolem304(_u14302, _u14301, _u14300, _u14299, _u14298, _u14297, _u14296, _u14295)))) )).
% 27.68/27.90 cnf(fact_prod__fun__imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14296)), _u14297), hAPP(c_Set_Oimage(tc_prod(_u14298, _u14299), tc_prod(_u14295, _u14296), c_Product__Type_Omap__pair(_u14298, _u14295, _u14299, _u14296, _u14300, _u14301)), _u14302))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14298, _u14299)), hAPP(hAPP(c_Product__Type_OPair(_u14298, _u14299), skolem303(_u14302, _u14301, _u14300, _u14299, _u14298, _u14297, _u14296, _u14295)), skolem304(_u14302, _u14301, _u14300, _u14299, _u14298, _u14297, _u14296, _u14295))), _u14302)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__on__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__on__def-1, axiom, ( ~c_Relation_Orefl__on(_u14308, _u14310, _u14312) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14308, _u14308), tc_HOL_Obool)), _u14312), hAPP(hAPP(c_Product__Type_OSigma(_u14308, _u14308), _u14310), hAPP(c_COMBK(tc_fun(_u14308, tc_HOL_Obool), _u14308), _u14310)))) )).
% 27.68/27.90 cnf(fact_refl__on__def-2, axiom, ( ~c_Relation_Orefl__on(_u14308, _u14310, _u14312) | ~hBOOL(hAPP(hAPP(c_member(_u14308), _u14303), _u14310)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14308, _u14308)), hAPP(hAPP(c_Product__Type_OPair(_u14308, _u14308), _u14303), _u14303)), _u14312)) )).
% 27.68/27.90 cnf(fact_refl__on__def-3, axiom, ( c_Relation_Orefl__on(_u14309, _u14311, _u14313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14309, _u14309), tc_HOL_Obool)), _u14313), hAPP(hAPP(c_Product__Type_OSigma(_u14309, _u14309), _u14311), hAPP(c_COMBK(tc_fun(_u14309, tc_HOL_Obool), _u14309), _u14311)))) | hBOOL(hAPP(hAPP(c_member(_u14309), skolem305(_u14313, _u14311, _u14309)), _u14311)) )).
% 27.68/27.90 cnf(fact_refl__on__def-4, axiom, ( c_Relation_Orefl__on(_u14309, _u14311, _u14313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14309, _u14309), tc_HOL_Obool)), _u14313), hAPP(hAPP(c_Product__Type_OSigma(_u14309, _u14309), _u14311), hAPP(c_COMBK(tc_fun(_u14309, tc_HOL_Obool), _u14309), _u14311)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14309)), hAPP(hAPP(c_Product__Type_OPair(_u14309, _u14309), skolem305(_u14313, _u14311, _u14309)), skolem305(_u14313, _u14311, _u14309))), _u14313)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u14314, _u14315, c_Relation_OId__on(_u14314, _u14315)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u14316, c_Orderings_Obot__class_Obot(tc_fun(_u14316, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14316, _u14316), tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__on__Un ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__on__Un-1, axiom, ( ~c_Relation_Orefl__on(_u14317, _u14318, _u14319) | ~c_Relation_Orefl__on(_u14317, _u14320, _u14321) | c_Relation_Orefl__on(_u14317, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14317, tc_HOL_Obool)), _u14318), _u14320), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14317, _u14317), tc_HOL_Obool)), _u14319), _u14321)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u14322, _u14323, _u14324) | ~c_Relation_Orefl__on(_u14322, _u14325, _u14326) | c_Relation_Orefl__on(_u14322, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14322, tc_HOL_Obool)), _u14323), _u14325), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14322, _u14322), tc_HOL_Obool)), _u14324), _u14326)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u14327, _u14328, _u14329) | ~hBOOL(hAPP(hAPP(c_member(_u14327), _u14330), _u14328)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14327, _u14327)), hAPP(hAPP(c_Product__Type_OPair(_u14327, _u14327), _u14330), _u14330)), _u14329)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u14331, _u14332, _u14333) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14331, _u14331)), hAPP(hAPP(c_Product__Type_OPair(_u14331, _u14331), _u14334), _u14335)), _u14333)) | hBOOL(hAPP(hAPP(c_member(_u14331), _u14334), _u14332)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u14336, _u14337, _u14338) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14339), _u14340)), _u14338)) | hBOOL(hAPP(hAPP(c_member(_u14336), _u14340), _u14337)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__onI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__onI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14342, _u14342), tc_HOL_Obool)), _u14343), hAPP(hAPP(c_Product__Type_OSigma(_u14342, _u14342), _u14344), hAPP(c_COMBK(tc_fun(_u14342, tc_HOL_Obool), _u14342), _u14344)))) | c_Relation_Orefl__on(_u14342, _u14344, _u14343) | hBOOL(hAPP(hAPP(c_member(_u14342), skolem306(_u14344, _u14343, _u14342)), _u14344)) )).
% 27.68/27.90 cnf(fact_refl__onI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14342, _u14342), tc_HOL_Obool)), _u14343), hAPP(hAPP(c_Product__Type_OSigma(_u14342, _u14342), _u14344), hAPP(c_COMBK(tc_fun(_u14342, tc_HOL_Obool), _u14342), _u14344)))) | c_Relation_Orefl__on(_u14342, _u14344, _u14343) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14342, _u14342)), hAPP(hAPP(c_Product__Type_OPair(_u14342, _u14342), skolem306(_u14344, _u14343, _u14342)), skolem306(_u14344, _u14343, _u14342))), _u14343)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1__Un ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1__Un-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14345) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14345), _u14346)) | ( _u14346 = c_Orderings_Obot__class_Obot(tc_fun(_u14345, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14345), _u14347)) | ( _u14347 = c_Orderings_Obot__class_Obot(tc_fun(_u14345, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14345, tc_HOL_Obool)), _u14346), _u14347) != c_Orderings_Obot__class_Obot(tc_fun(_u14345, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u14345, c_Groups_Otimes__class_Otimes(_u14345)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14345, tc_HOL_Obool)), _u14346), _u14347)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14345), hAPP(c_Finite__Set_Ofold1(_u14345, c_Groups_Otimes__class_Otimes(_u14345)), _u14346)), hAPP(c_Finite__Set_Ofold1(_u14345, c_Groups_Otimes__class_Otimes(_u14345)), _u14347))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1__singleton ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u14348, _u14349), hAPP(hAPP(c_Set_Oinsert(_u14348), _u14350), c_Orderings_Obot__class_Obot(tc_fun(_u14348, tc_HOL_Obool)))) = _u14350) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1__singleton__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1__singleton__def-1, axiom, ( ( _u14351 != c_Finite__Set_Ofold1(_u14352, _u14353)) | ( hAPP(_u14351, hAPP(hAPP(c_Set_Oinsert(_u14352), _u14354), c_Orderings_Obot__class_Obot(tc_fun(_u14352, tc_HOL_Obool)))) = _u14354) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding__one_Oeq__fold ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding__one_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u14355, _u14356, _u14357) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14355), _u14358)) | ( hAPP(_u14357, _u14358) = hAPP(c_Finite__Set_Ofold1(_u14355, _u14356), _u14358)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u14359, _u14360), _u14361) = c_HOL_OThe(_u14359, c_Finite__Set_Ofold1Set(_u14359, _u14360, _u14361))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Sup__fin_OF__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Sup__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u14362) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14362), _u14363)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14362, _u14363) = hAPP(c_Finite__Set_Ofold1(_u14362, c_Lattices_Osemilattice__sup__class_Osup(_u14362)), _u14363)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Inf__fin_OF__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Inf__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u14364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14364), _u14365)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14364, _u14365) = hAPP(c_Finite__Set_Ofold1(_u14364, c_Lattices_Osemilattice__inf__class_Oinf(_u14364)), _u14365)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Min_OF__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Min_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u14366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14366), _u14367)) | ( c_Big__Operators_Olinorder__class_OMin(_u14366, _u14367) = hAPP(c_Finite__Set_Ofold1(_u14366, c_Orderings_Oord__class_Omin(_u14366)), _u14367)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Max_OF__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Max_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u14368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14368), _u14369)) | ( c_Big__Operators_Olinorder__class_OMax(_u14368, _u14369) = hAPP(c_Finite__Set_Ofold1(_u14368, c_Orderings_Oord__class_Omax(_u14368)), _u14369)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_min__max_OInf__fin_OF__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_min__max_OInf__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u14370) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14370), _u14371)) | ( c_Big__Operators_Olattice_OInf__fin(_u14370, c_Orderings_Oord__class_Omin(_u14370), _u14371) = hAPP(c_Finite__Set_Ofold1(_u14370, c_Orderings_Oord__class_Omin(_u14370)), _u14371)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_min__max_OSup__fin_OF__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_min__max_OSup__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u14372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14372), _u14373)) | ( c_Big__Operators_Olattice_OSup__fin(_u14372, c_Orderings_Oord__class_Omax(_u14372), _u14373) = hAPP(c_Finite__Set_Ofold1(_u14372, c_Orderings_Oord__class_Omax(_u14372)), _u14373)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1__belowI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1__belowI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14374) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14374), _u14375)) | ~hBOOL(hAPP(hAPP(c_member(_u14374), _u14376), _u14375)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14374), hAPP(c_Finite__Set_Ofold1(_u14374, c_Lattices_Osemilattice__inf__class_Oinf(_u14374)), _u14375)), _u14376)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_below__fold1__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_below__fold1__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14379), _u14380)) | ( _u14380 = c_Orderings_Obot__class_Obot(tc_fun(_u14379, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14379), _u14381), hAPP(c_Finite__Set_Ofold1(_u14379, c_Lattices_Osemilattice__inf__class_Oinf(_u14379)), _u14380))) | ~hBOOL(hAPP(hAPP(c_member(_u14379), _u14377), _u14380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14379), _u14381), _u14377)) )).
% 27.68/27.90 cnf(fact_below__fold1__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u14379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14379), _u14380)) | ( _u14380 = c_Orderings_Obot__class_Obot(tc_fun(_u14379, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14379), _u14381), hAPP(c_Finite__Set_Ofold1(_u14379, c_Lattices_Osemilattice__inf__class_Oinf(_u14379)), _u14380))) | hBOOL(hAPP(hAPP(c_member(_u14379), skolem307(_u14381, _u14380, _u14379)), _u14380)) )).
% 27.68/27.90 cnf(fact_below__fold1__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u14379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14379), _u14380)) | ( _u14380 = c_Orderings_Obot__class_Obot(tc_fun(_u14379, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14379), _u14381), hAPP(c_Finite__Set_Ofold1(_u14379, c_Lattices_Osemilattice__inf__class_Oinf(_u14379)), _u14380))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14379), _u14381), skolem307(_u14381, _u14380, _u14379))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_min__max_Ofold1__belowI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_min__max_Ofold1__belowI-1, axiom, ( ~class_Orderings_Olinorder(_u14382) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14382), _u14383)) | ~hBOOL(hAPP(hAPP(c_member(_u14382), _u14384), _u14383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14382), hAPP(c_Finite__Set_Ofold1(_u14382, c_Orderings_Oord__class_Omin(_u14382)), _u14383)), _u14384)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1__insert__idem ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1__insert__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14385) | ( _u14386 = c_Orderings_Obot__class_Obot(tc_fun(_u14385, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14385), _u14386)) | ( hAPP(c_Finite__Set_Ofold1(_u14385, c_Groups_Otimes__class_Otimes(_u14385)), hAPP(hAPP(c_Set_Oinsert(_u14385), _u14387), _u14386)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14385), _u14387), hAPP(c_Finite__Set_Ofold1(_u14385, c_Groups_Otimes__class_Otimes(_u14385)), _u14386))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_min__max_Obelow__fold1__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_min__max_Obelow__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u14390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14390), _u14391)) | ( _u14391 = c_Orderings_Obot__class_Obot(tc_fun(_u14390, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14390), _u14392), hAPP(c_Finite__Set_Ofold1(_u14390, c_Orderings_Oord__class_Omin(_u14390)), _u14391))) | ~hBOOL(hAPP(hAPP(c_member(_u14390), _u14388), _u14391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14390), _u14392), _u14388)) )).
% 27.68/27.90 cnf(fact_min__max_Obelow__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u14390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14390), _u14391)) | ( _u14391 = c_Orderings_Obot__class_Obot(tc_fun(_u14390, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14390), _u14392), hAPP(c_Finite__Set_Ofold1(_u14390, c_Orderings_Oord__class_Omin(_u14390)), _u14391))) | hBOOL(hAPP(hAPP(c_member(_u14390), skolem308(_u14392, _u14391, _u14390)), _u14391)) )).
% 27.68/27.90 cnf(fact_min__max_Obelow__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u14390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14390), _u14391)) | ( _u14391 = c_Orderings_Obot__class_Obot(tc_fun(_u14390, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14390), _u14392), hAPP(c_Finite__Set_Ofold1(_u14390, c_Orderings_Oord__class_Omin(_u14390)), _u14391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14390), _u14392), skolem308(_u14392, _u14391, _u14390))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1__below__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u14395) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14395), _u14396)) | ( _u14396 = c_Orderings_Obot__class_Obot(tc_fun(_u14395, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14395), hAPP(c_Finite__Set_Ofold1(_u14395, c_Orderings_Oord__class_Omin(_u14395)), _u14396)), _u14397)) | hBOOL(hAPP(hAPP(c_member(_u14395), skolem309(_u14397, _u14396, _u14395)), _u14396)) )).
% 27.68/27.90 cnf(fact_fold1__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u14395) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14395), _u14396)) | ( _u14396 = c_Orderings_Obot__class_Obot(tc_fun(_u14395, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14395), hAPP(c_Finite__Set_Ofold1(_u14395, c_Orderings_Oord__class_Omin(_u14395)), _u14396)), _u14397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14395), skolem309(_u14397, _u14396, _u14395)), _u14397)) )).
% 27.68/27.90 cnf(fact_fold1__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u14395) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14395), _u14396)) | ( _u14396 = c_Orderings_Obot__class_Obot(tc_fun(_u14395, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14395), _u14394), _u14396)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14395), _u14394), _u14397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14395), hAPP(c_Finite__Set_Ofold1(_u14395, c_Orderings_Oord__class_Omin(_u14395)), _u14396)), _u14397)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1__Un2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1__Un2-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14398) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14398), _u14399)) | ( _u14399 = c_Orderings_Obot__class_Obot(tc_fun(_u14398, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14398), _u14400)) | ( _u14400 = c_Orderings_Obot__class_Obot(tc_fun(_u14398, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u14398, c_Groups_Otimes__class_Otimes(_u14398)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14398, tc_HOL_Obool)), _u14399), _u14400)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14398), hAPP(c_Finite__Set_Ofold1(_u14398, c_Groups_Otimes__class_Otimes(_u14398)), _u14399)), hAPP(c_Finite__Set_Ofold1(_u14398, c_Groups_Otimes__class_Otimes(_u14398)), _u14400))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1__strict__below__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1__strict__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u14403) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14403), _u14404)) | ( _u14404 = c_Orderings_Obot__class_Obot(tc_fun(_u14403, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14403), hAPP(c_Finite__Set_Ofold1(_u14403, c_Orderings_Oord__class_Omin(_u14403)), _u14404)), _u14405)) | hBOOL(hAPP(hAPP(c_member(_u14403), skolem310(_u14405, _u14404, _u14403)), _u14404)) )).
% 27.68/27.90 cnf(fact_fold1__strict__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u14403) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14403), _u14404)) | ( _u14404 = c_Orderings_Obot__class_Obot(tc_fun(_u14403, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14403), hAPP(c_Finite__Set_Ofold1(_u14403, c_Orderings_Oord__class_Omin(_u14403)), _u14404)), _u14405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14403), skolem310(_u14405, _u14404, _u14403)), _u14405)) )).
% 27.68/27.90 cnf(fact_fold1__strict__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u14403) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14403), _u14404)) | ( _u14404 = c_Orderings_Obot__class_Obot(tc_fun(_u14403, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14403), _u14402), _u14404)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14403), _u14402), _u14405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14403), hAPP(c_Finite__Set_Ofold1(_u14403, c_Orderings_Oord__class_Omin(_u14403)), _u14404)), _u14405)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_strict__below__fold1__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_strict__below__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u14408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14408), _u14409)) | ( _u14409 = c_Orderings_Obot__class_Obot(tc_fun(_u14408, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14408), _u14410), hAPP(c_Finite__Set_Ofold1(_u14408, c_Orderings_Oord__class_Omin(_u14408)), _u14409))) | ~hBOOL(hAPP(hAPP(c_member(_u14408), _u14406), _u14409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14408), _u14410), _u14406)) )).
% 27.68/27.90 cnf(fact_strict__below__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u14408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14408), _u14409)) | ( _u14409 = c_Orderings_Obot__class_Obot(tc_fun(_u14408, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14408), _u14410), hAPP(c_Finite__Set_Ofold1(_u14408, c_Orderings_Oord__class_Omin(_u14408)), _u14409))) | hBOOL(hAPP(hAPP(c_member(_u14408), skolem311(_u14410, _u14409, _u14408)), _u14409)) )).
% 27.68/27.90 cnf(fact_strict__below__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u14408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14408), _u14409)) | ( _u14409 = c_Orderings_Obot__class_Obot(tc_fun(_u14408, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14408), _u14410), hAPP(c_Finite__Set_Ofold1(_u14408, c_Orderings_Oord__class_Omin(_u14408)), _u14409))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14408), _u14410), skolem311(_u14410, _u14409, _u14408))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1__insert ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14411) | ( _u14412 = c_Orderings_Obot__class_Obot(tc_fun(_u14411, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14411), _u14412)) | hBOOL(hAPP(hAPP(c_member(_u14411), _u14413), _u14412)) | ( hAPP(c_Finite__Set_Ofold1(_u14411, c_Groups_Otimes__class_Otimes(_u14411)), hAPP(hAPP(c_Set_Oinsert(_u14411), _u14413), _u14412)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14411), _u14413), hAPP(c_Finite__Set_Ofold1(_u14411, c_Groups_Otimes__class_Otimes(_u14411)), _u14412))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1__antimono ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u14414) | ( _u14415 = c_Orderings_Obot__class_Obot(tc_fun(_u14414, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14414, tc_HOL_Obool)), _u14415), _u14416)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14414), _u14416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14414), hAPP(c_Finite__Set_Ofold1(_u14414, c_Orderings_Oord__class_Omin(_u14414)), _u14416)), hAPP(c_Finite__Set_Ofold1(_u14414, c_Orderings_Oord__class_Omin(_u14414)), _u14415))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_semilattice__big_OF__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_semilattice__big_OF__eq-1, axiom, ( ~c_Big__Operators_Osemilattice__big(_u14417, _u14418, _u14419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14417), _u14420)) | ( hAPP(_u14419, _u14420) = hAPP(c_Finite__Set_Ofold1(_u14417, _u14418), _u14420)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold1__in ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold1__in-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14423), _u14424)) | ( _u14424 = c_Orderings_Obot__class_Obot(tc_fun(_u14423, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14423), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14423), skolem312(_u14424, _u14423)), skolem313(_u14424, _u14423))), hAPP(hAPP(c_Set_Oinsert(_u14423), skolem312(_u14424, _u14423)), hAPP(hAPP(c_Set_Oinsert(_u14423), skolem313(_u14424, _u14423)), c_Orderings_Obot__class_Obot(tc_fun(_u14423, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u14423), hAPP(c_Finite__Set_Ofold1(_u14423, c_Groups_Otimes__class_Otimes(_u14423)), _u14424)), _u14424)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_hom__fold1__commute ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_hom__fold1__commute-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14427) | ( hAPP(_u14428, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14427), skolem314(_u14429, _u14428, _u14427)), skolem315(_u14429, _u14428, _u14427))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14427), hAPP(_u14428, skolem314(_u14429, _u14428, _u14427))), hAPP(_u14428, skolem315(_u14429, _u14428, _u14427)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14427), _u14429)) | ( _u14429 = c_Orderings_Obot__class_Obot(tc_fun(_u14427, tc_HOL_Obool))) | ( hAPP(_u14428, hAPP(c_Finite__Set_Ofold1(_u14427, c_Groups_Otimes__class_Otimes(_u14427)), _u14429)) = hAPP(c_Finite__Set_Ofold1(_u14427, c_Groups_Otimes__class_Otimes(_u14427)), hAPP(c_Set_Oimage(_u14427, _u14427, _u14428), _u14429))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setprod__pos__nat ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setprod__pos__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14431), _u14432)) | 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(_u14431, tc_Nat_Onat), _u14433), _u14432))) | hBOOL(hAPP(hAPP(c_member(_u14431), skolem316(_u14433, _u14432, _u14431)), _u14432)) )).
% 27.68/27.90 cnf(fact_setprod__pos__nat-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14431), _u14432)) | 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(_u14431, tc_Nat_Onat), _u14433), _u14432))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u14433, skolem316(_u14433, _u14432, _u14431)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding__one__idem_Ohom__commute ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding__one__idem_Ohom__commute-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u14436, _u14437, _u14438) | ( hAPP(_u14439, hAPP(hAPP(_u14437, skolem317(_u14440, _u14439, _u14438, _u14437, _u14436)), skolem318(_u14440, _u14439, _u14438, _u14437, _u14436))) != hAPP(hAPP(_u14437, hAPP(_u14439, skolem317(_u14440, _u14439, _u14438, _u14437, _u14436))), hAPP(_u14439, skolem318(_u14440, _u14439, _u14438, _u14437, _u14436)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14436), _u14440)) | ( _u14440 = c_Orderings_Obot__class_Obot(tc_fun(_u14436, tc_HOL_Obool))) | ( hAPP(_u14439, hAPP(_u14438, _u14440)) = hAPP(_u14438, hAPP(c_Set_Oimage(_u14436, _u14436, _u14439), _u14440))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Rep__Integ__cases ( axiom ) converted to clauses:
% 27.68/27.90 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)), _u14442), c_Int_OInteg)) | ( _u14442 = hAPP(c_Int_ORep__Integ, skolem319(_u14442))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Rep__Integ__induct ( axiom ) converted to clauses:
% 27.68/27.90 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)), _u14444), c_Int_OInteg)) | ~hBOOL(hAPP(_u14445, hAPP(c_Int_ORep__Integ, skolem320(_u14445, _u14444)))) | hBOOL(hAPP(_u14445, _u14444)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fun__left__comm__idem__remove ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fun__left__comm__idem__remove-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u14446, tc_fun(_u14446, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14446, tc_HOL_Obool), tc_fun(tc_fun(_u14446, tc_HOL_Obool), tc_fun(_u14446, tc_HOL_Obool)), _u14446), hAPP(c_COMBC(tc_fun(_u14446, tc_HOL_Obool), tc_fun(_u14446, tc_HOL_Obool), tc_fun(_u14446, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u14446, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u14446, tc_fun(_u14446, tc_HOL_Obool), tc_fun(_u14446, tc_HOL_Obool)), c_Set_Oinsert(_u14446)), c_Orderings_Obot__class_Obot(tc_fun(_u14446, tc_HOL_Obool))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fun__left__comm__idem_Ofun__comp__idem ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fun__left__comm__idem_Ofun__comp__idem-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14448, _u14448, _u14448, hAPP(_u14449, _u14450)), hAPP(_u14449, _u14450)) = hAPP(_u14449, _u14450)) | ~c_Finite__Set_Ofun__left__comm__idem(_u14447, _u14448, _u14449) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_min__max_Ofun__left__comm__idem__inf ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_min__max_Ofun__left__comm__idem__inf-1, axiom, ( ~class_Orderings_Olinorder(_u14451) | c_Finite__Set_Ofun__left__comm__idem(_u14451, _u14451, c_Orderings_Oord__class_Omin(_u14451)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fun__left__comm__idem ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fun__left__comm__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14452) | c_Finite__Set_Ofun__left__comm__idem(_u14452, _u14452, c_Groups_Otimes__class_Otimes(_u14452)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fun__left__comm__idem__sup ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fun__left__comm__idem__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u14453) | c_Finite__Set_Ofun__left__comm__idem(_u14453, _u14453, c_Lattices_Osemilattice__sup__class_Osup(_u14453)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fun__left__comm__idem_Ofun__left__comm__idem__apply ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14454, _u14455, _u14456) | c_Finite__Set_Ofun__left__comm__idem(_u14457, _u14455, hAPP(hAPP(c_COMBB(_u14454, tc_fun(_u14455, _u14455), _u14457), _u14456), _u14458)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fun__left__comm__idem_Ofun__left__idem ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fun__left__comm__idem_Ofun__left__idem-1, axiom, ( ( hAPP(hAPP(_u14461, _u14462), hAPP(hAPP(_u14461, _u14462), _u14463)) = hAPP(hAPP(_u14461, _u14462), _u14463)) | ~c_Finite__Set_Ofun__left__comm__idem(_u14459, _u14460, _u14461) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fun__left__comm__idem__insert ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fun__left__comm__idem__insert-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u14464, tc_fun(_u14464, tc_HOL_Obool), c_Set_Oinsert(_u14464)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fun__left__comm__idem__inf ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fun__left__comm__idem__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14465) | c_Finite__Set_Ofun__left__comm__idem(_u14465, _u14465, c_Lattices_Osemilattice__inf__class_Oinf(_u14465)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_min__max_Ofun__left__comm__idem__sup ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_min__max_Ofun__left__comm__idem__sup-1, axiom, ( ~class_Orderings_Olinorder(_u14466) | c_Finite__Set_Ofun__left__comm__idem(_u14466, _u14466, c_Orderings_Oord__class_Omax(_u14466)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding__image__simple_Ounion__inter__neutral ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding__image__simple_Ounion__inter__neutral-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u14468, _u14469, _u14470, _u14471, _u14472, _u14473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14469), _u14474)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14469), _u14475)) | ( hAPP(_u14473, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14469, tc_HOL_Obool)), _u14474), _u14475)) = hAPP(hAPP(_u14470, hAPP(_u14473, _u14474)), hAPP(_u14473, _u14475))) | hBOOL(hAPP(hAPP(c_member(_u14469), skolem321(_u14475, _u14474, _u14473, _u14472, _u14471, _u14470, _u14469)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14469, tc_HOL_Obool)), _u14474), _u14475))) )).
% 27.68/27.90 cnf(fact_folding__image__simple_Ounion__inter__neutral-2, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u14468, _u14469, _u14470, _u14471, _u14472, _u14473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14469), _u14474)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14469), _u14475)) | ( hAPP(_u14473, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14469, tc_HOL_Obool)), _u14474), _u14475)) = hAPP(hAPP(_u14470, hAPP(_u14473, _u14474)), hAPP(_u14473, _u14475))) | ( hAPP(_u14472, skolem321(_u14475, _u14474, _u14473, _u14472, _u14471, _u14470, _u14469)) != _u14471) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_card__less__Suc2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_card__less__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14476)) | ( 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)), _u14476))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u14477)))) = 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)), _u14476))), 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, _u14477)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_CollectI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_CollectI-1, axiom, ( ~hBOOL(hAPP(_u14478, _u14479)) | hBOOL(hAPP(hAPP(c_member(_u14480), _u14479), hAPP(c_Set_OCollect(_u14480), _u14478))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__Collect__conjI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14481), hAPP(c_Set_OCollect(_u14481), hAPP(hAPP(c_COMBS(_u14481, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14481), c_fconj), _u14482)), _u14483)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14481), hAPP(c_Set_OCollect(_u14481), _u14482))) )).
% 27.68/27.90 cnf(fact_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14481), hAPP(c_Set_OCollect(_u14481), hAPP(hAPP(c_COMBS(_u14481, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14481), c_fconj), _u14482)), _u14483)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14481), hAPP(c_Set_OCollect(_u14481), _u14483))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__Collect__less__nat ( axiom ) converted to clauses:
% 27.68/27.90 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)), _u14484)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__Collect__le__nat ( axiom ) converted to clauses:
% 27.68/27.90 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)), _u14485)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Collect__conv__if ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Collect__conv__if-1, axiom, ( ~hBOOL(hAPP(_u14489, _u14491)) | ( hAPP(c_Set_OCollect(_u14493), hAPP(hAPP(c_COMBS(_u14493, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14493), c_fconj), hAPP(hAPP(c_COMBC(_u14493, _u14493, tc_HOL_Obool), c_fequal), _u14491))), _u14489)) = hAPP(hAPP(c_Set_Oinsert(_u14493), _u14491), c_Orderings_Obot__class_Obot(tc_fun(_u14493, tc_HOL_Obool)))) )).
% 27.68/27.90 cnf(fact_Collect__conv__if-2, axiom, ( hBOOL(hAPP(_u14490, _u14492)) | ( hAPP(c_Set_OCollect(_u14494), hAPP(hAPP(c_COMBS(_u14494, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14494), c_fconj), hAPP(hAPP(c_COMBC(_u14494, _u14494, tc_HOL_Obool), c_fequal), _u14492))), _u14490)) = c_Orderings_Obot__class_Obot(tc_fun(_u14494, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Collect__conv__if2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Collect__conv__if2-1, axiom, ( ~hBOOL(hAPP(_u14498, _u14500)) | ( hAPP(c_Set_OCollect(_u14502), hAPP(hAPP(c_COMBS(_u14502, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14502), c_fconj), hAPP(c_fequal, _u14500))), _u14498)) = hAPP(hAPP(c_Set_Oinsert(_u14502), _u14500), c_Orderings_Obot__class_Obot(tc_fun(_u14502, tc_HOL_Obool)))) )).
% 27.68/27.90 cnf(fact_Collect__conv__if2-2, axiom, ( hBOOL(hAPP(_u14499, _u14501)) | ( hAPP(c_Set_OCollect(_u14503), hAPP(hAPP(c_COMBS(_u14503, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14503), c_fconj), hAPP(c_fequal, _u14501))), _u14499)) = c_Orderings_Obot__class_Obot(tc_fun(_u14503, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_singleton__conv ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_singleton__conv-1, axiom, ( ( hAPP(c_Set_OCollect(_u14504), hAPP(hAPP(c_COMBC(_u14504, _u14504, tc_HOL_Obool), c_fequal), _u14505)) = hAPP(hAPP(c_Set_Oinsert(_u14504), _u14505), c_Orderings_Obot__class_Obot(tc_fun(_u14504, tc_HOL_Obool)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_singleton__conv2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_singleton__conv2-1, axiom, ( ( hAPP(c_Set_OCollect(_u14506), hAPP(c_fequal, _u14507)) = hAPP(hAPP(c_Set_Oinsert(_u14506), _u14507), c_Orderings_Obot__class_Obot(tc_fun(_u14506, tc_HOL_Obool)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_insert__compr ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_insert__compr-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u14508), _u14509), _u14510) = hAPP(c_Set_OCollect(_u14508), hAPP(hAPP(c_COMBS(_u14508, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14508), c_fdisj), hAPP(hAPP(c_COMBC(_u14508, _u14508, tc_HOL_Obool), c_fequal), _u14509))), hAPP(hAPP(c_COMBC(_u14508, tc_fun(_u14508, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14508)), _u14510)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_insert__compr__raw ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_insert__compr__raw-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u14511), _u14512), _u14513) = hAPP(c_Set_OCollect(_u14511), hAPP(hAPP(c_COMBS(_u14511, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14511), c_fdisj), hAPP(hAPP(c_COMBC(_u14511, _u14511, tc_HOL_Obool), c_fequal), _u14512))), hAPP(hAPP(c_COMBC(_u14511, tc_fun(_u14511, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14511)), _u14513)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__Collect__disjI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14517), hAPP(c_Set_OCollect(_u14517), hAPP(hAPP(c_COMBS(_u14517, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14517), c_fdisj), _u14519)), _u14521)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14517), hAPP(c_Set_OCollect(_u14517), _u14519))) )).
% 27.68/27.90 cnf(fact_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14517), hAPP(c_Set_OCollect(_u14517), hAPP(hAPP(c_COMBS(_u14517, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14517), c_fdisj), _u14519)), _u14521)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14517), hAPP(c_Set_OCollect(_u14517), _u14521))) )).
% 27.68/27.90 cnf(fact_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14518), hAPP(c_Set_OCollect(_u14518), _u14520))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14518), hAPP(c_Set_OCollect(_u14518), _u14522))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14518), hAPP(c_Set_OCollect(_u14518), hAPP(hAPP(c_COMBS(_u14518, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14518), c_fdisj), _u14520)), _u14522)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Collect__conj__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Collect__conj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u14523), hAPP(hAPP(c_COMBS(_u14523, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14523), c_fconj), _u14524)), _u14525)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14523, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14523), _u14524)), hAPP(c_Set_OCollect(_u14523), _u14525))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Collect__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Collect__def-1, axiom, ( ( hAPP(c_Set_OCollect(_u14526), _u14527) = _u14527) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_insert__Collect ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_insert__Collect-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u14528), _u14529), hAPP(c_Set_OCollect(_u14528), _u14530)) = hAPP(c_Set_OCollect(_u14528), hAPP(hAPP(c_COMBS(_u14528, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14528), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14528), c_fNot), hAPP(hAPP(c_COMBC(_u14528, _u14528, tc_HOL_Obool), c_fequal), _u14529)))), _u14530))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_empty__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_empty__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u14531, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u14531), hAPP(c_COMBK(tc_HOL_Obool, _u14531), c_fFalse))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_empty__Collect__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_empty__Collect__eq-1, axiom, ( ~hBOOL(hAPP(_u14538, _u14532)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u14536, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u14536), _u14538)) )).
% 27.68/27.90 cnf(fact_empty__Collect__eq-2, axiom, ( hBOOL(hAPP(_u14539, skolem322(_u14539))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u14537, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u14537), _u14539)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Collect__empty__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Collect__empty__eq-1, axiom, ( ~hBOOL(hAPP(_u14546, _u14540)) | ( hAPP(c_Set_OCollect(_u14544), _u14546) != c_Orderings_Obot__class_Obot(tc_fun(_u14544, tc_HOL_Obool))) )).
% 27.68/27.90 cnf(fact_Collect__empty__eq-2, axiom, ( hBOOL(hAPP(_u14547, skolem323(_u14547))) | ( hAPP(c_Set_OCollect(_u14545), _u14547) = c_Orderings_Obot__class_Obot(tc_fun(_u14545, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Collect__disj__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Collect__disj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u14548), hAPP(hAPP(c_COMBS(_u14548, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14548), c_fdisj), _u14549)), _u14550)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14548, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14548), _u14549)), hAPP(c_Set_OCollect(_u14548), _u14550))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_CollectE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_CollectE-1, axiom, ( hBOOL(hAPP(_u14553, _u14552)) | ~hBOOL(hAPP(hAPP(c_member(_u14551), _u14552), hAPP(c_Set_OCollect(_u14551), _u14553))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_CollectD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_CollectD-1, axiom, ( hBOOL(hAPP(_u14556, _u14555)) | ~hBOOL(hAPP(hAPP(c_member(_u14554), _u14555), hAPP(c_Set_OCollect(_u14554), _u14556))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_mem__Collect__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_mem__Collect__eq-1, axiom, ( hBOOL(hAPP(_u14564, _u14562)) | ~hBOOL(hAPP(hAPP(c_member(_u14560), _u14562), hAPP(c_Set_OCollect(_u14560), _u14564))) )).
% 27.68/27.90 cnf(fact_mem__Collect__eq-2, axiom, ( ~hBOOL(hAPP(_u14565, _u14563)) | hBOOL(hAPP(hAPP(c_member(_u14561), _u14563), hAPP(c_Set_OCollect(_u14561), _u14565))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Collect__mem__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Collect__mem__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u14566), hAPP(hAPP(c_COMBC(_u14566, tc_fun(_u14566, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14566)), _u14567)) = _u14567) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Collect__neg__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Collect__neg__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u14568), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14568), c_fNot), _u14569)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14568, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14568), _u14569))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_UNIV__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_UNIV__def-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14570, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u14570), hAPP(c_COMBK(tc_HOL_Obool, _u14570), c_fTrue))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__Collect__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__Collect__eq-1, axiom, ( ( hAPP(c_Set_Ovimage(_u14571, _u14572, _u14573), hAPP(c_Set_OCollect(_u14572), _u14574)) = hAPP(c_Set_OCollect(_u14571), hAPP(hAPP(c_COMBB(_u14572, tc_HOL_Obool, _u14571), _u14574), _u14573))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Collect__split ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Collect__split-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u14575, _u14576)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14575, _u14576, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14575, tc_fun(_u14576, tc_HOL_Obool), tc_fun(_u14576, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14576, tc_HOL_Obool), tc_fun(_u14576, tc_HOL_Obool)), _u14575), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14576)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14575), c_fconj), _u14577))), _u14578))) = hAPP(hAPP(c_Product__Type_OSigma(_u14575, _u14576), hAPP(c_Set_OCollect(_u14575), _u14577)), hAPP(c_COMBK(tc_fun(_u14576, tc_HOL_Obool), _u14575), hAPP(c_Set_OCollect(_u14576), _u14578)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_SetCompr__Sigma__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_SetCompr__Sigma__eq-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u14579, _u14580)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14579, _u14580, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u14579, tc_fun(_u14580, tc_HOL_Obool), tc_fun(_u14580, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14580, tc_HOL_Obool), tc_fun(_u14580, tc_HOL_Obool)), _u14579), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14580)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14579), c_fconj), _u14581))), _u14582))) = hAPP(hAPP(c_Product__Type_OSigma(_u14579, _u14580), hAPP(c_Set_OCollect(_u14579), _u14581)), hAPP(hAPP(c_COMBB(tc_fun(_u14580, tc_HOL_Obool), tc_fun(_u14580, tc_HOL_Obool), _u14579), c_Set_OCollect(_u14580)), _u14582))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Int__Collect ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Int__Collect-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14587), _u14589), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14587, tc_HOL_Obool)), _u14591), hAPP(c_Set_OCollect(_u14587), _u14593)))) | hBOOL(hAPP(hAPP(c_member(_u14587), _u14589), _u14591)) )).
% 27.68/27.90 cnf(fact_Int__Collect-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14587), _u14589), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14587, tc_HOL_Obool)), _u14591), hAPP(c_Set_OCollect(_u14587), _u14593)))) | hBOOL(hAPP(_u14593, _u14589)) )).
% 27.68/27.90 cnf(fact_Int__Collect-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14588), _u14590), _u14592)) | ~hBOOL(hAPP(_u14594, _u14590)) | hBOOL(hAPP(hAPP(c_member(_u14588), _u14590), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14588, tc_HOL_Obool)), _u14592), hAPP(c_Set_OCollect(_u14588), _u14594)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Int__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Int__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14595, tc_HOL_Obool)), _u14596), _u14597) = hAPP(c_Set_OCollect(_u14595), hAPP(hAPP(c_COMBS(_u14595, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14595), c_fconj), hAPP(hAPP(c_COMBC(_u14595, tc_fun(_u14595, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14595)), _u14596))), hAPP(hAPP(c_COMBC(_u14595, tc_fun(_u14595, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14595)), _u14597)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Un__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Un__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14598, tc_HOL_Obool)), _u14599), _u14600) = hAPP(c_Set_OCollect(_u14598), hAPP(hAPP(c_COMBS(_u14598, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14598), c_fdisj), hAPP(hAPP(c_COMBC(_u14598, tc_fun(_u14598, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14598)), _u14599))), hAPP(hAPP(c_COMBC(_u14598, tc_fun(_u14598, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14598)), _u14600)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_set__diff__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_set__diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14601, tc_HOL_Obool)), _u14602), _u14603) = hAPP(c_Set_OCollect(_u14601), hAPP(hAPP(c_COMBS(_u14601, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14601), c_fconj), hAPP(hAPP(c_COMBC(_u14601, tc_fun(_u14601, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14601)), _u14602))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14601), c_fNot), hAPP(hAPP(c_COMBC(_u14601, tc_fun(_u14601, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14601)), _u14603))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__Collect__not ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__Collect__not-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), hAPP(c_Set_OCollect(_u14604), _u14605))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), hAPP(c_Set_OCollect(_u14604), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14604), c_fNot), _u14605)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), c_Orderings_Otop__class_Otop(tc_fun(_u14604, tc_HOL_Obool)))) )).
% 27.68/27.90 cnf(fact_finite__Collect__not-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), hAPP(c_Set_OCollect(_u14604), _u14605))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), c_Orderings_Otop__class_Otop(tc_fun(_u14604, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), hAPP(c_Set_OCollect(_u14604), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14604), c_fNot), _u14605)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_insert__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_insert__def-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u14606), _u14607), _u14608) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14606, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14606), hAPP(hAPP(c_COMBC(_u14606, _u14606, tc_HOL_Obool), c_fequal), _u14607))), _u14608)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Compl__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Compl__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14609, tc_HOL_Obool)), _u14610) = hAPP(c_Set_OCollect(_u14609), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14609), c_fNot), hAPP(hAPP(c_COMBC(_u14609, tc_fun(_u14609, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14609)), _u14610)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__def-1, axiom, ( ( hAPP(c_Set_Ovimage(_u14611, _u14612, _u14613), _u14614) = hAPP(c_Set_OCollect(_u14611), hAPP(hAPP(c_COMBC(_u14611, tc_fun(_u14612, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14612, tc_fun(tc_fun(_u14612, tc_HOL_Obool), tc_HOL_Obool), _u14611), c_member(_u14612)), _u14613)), _u14614))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Collect__imp__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Collect__imp__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u14615), hAPP(hAPP(c_COMBS(_u14615, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14615), c_fimplies), _u14616)), _u14617)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14615, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14615, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14615), _u14616))), hAPP(c_Set_OCollect(_u14615), _u14617))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_dom__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_dom__def-1, axiom, ( ( c_Map_Odom(_u14618, _u14619, _u14620) = hAPP(c_Set_OCollect(_u14618), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14618), c_fNot), hAPP(hAPP(c_COMBC(_u14618, tc_Option_Ooption(_u14619), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14619), tc_fun(tc_Option_Ooption(_u14619), tc_HOL_Obool), _u14618), c_fequal), _u14620)), c_Option_Ooption_ONone(_u14619))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__M__bounded__by__nat ( axiom ) converted to clauses:
% 27.68/27.90 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), _u14621)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u14622))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum__setsum__restrict ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum__setsum__restrict-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14623) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14624), _u14625)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14626), _u14627)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14624, _u14623), hAPP(hAPP(c_COMBS(_u14624, tc_fun(_u14626, tc_HOL_Obool), _u14623), hAPP(hAPP(c_COMBB(tc_fun(_u14626, _u14623), tc_fun(tc_fun(_u14626, tc_HOL_Obool), _u14623), _u14624), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14626, _u14623)), _u14628)), hAPP(hAPP(c_COMBB(tc_fun(_u14626, tc_HOL_Obool), tc_fun(_u14626, tc_HOL_Obool), _u14624), c_Set_OCollect(_u14626)), hAPP(hAPP(c_COMBB(tc_fun(_u14626, tc_HOL_Obool), tc_fun(_u14626, tc_HOL_Obool), _u14624), hAPP(c_COMBS(_u14626, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14626), c_fconj), hAPP(hAPP(c_COMBC(_u14626, tc_fun(_u14626, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14626)), _u14627)))), _u14629)))), _u14625) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14626, _u14623), hAPP(hAPP(c_COMBS(_u14626, tc_fun(_u14624, tc_HOL_Obool), _u14623), hAPP(hAPP(c_COMBB(tc_fun(_u14624, _u14623), tc_fun(tc_fun(_u14624, tc_HOL_Obool), _u14623), _u14626), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14624, _u14623)), hAPP(c_COMBC(_u14624, _u14626, _u14623), _u14628))), hAPP(hAPP(c_COMBB(tc_fun(_u14624, tc_HOL_Obool), tc_fun(_u14624, tc_HOL_Obool), _u14626), c_Set_OCollect(_u14624)), hAPP(hAPP(c_COMBB(tc_fun(_u14624, tc_HOL_Obool), tc_fun(_u14624, tc_HOL_Obool), _u14626), hAPP(c_COMBS(_u14624, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14624), c_fconj), hAPP(hAPP(c_COMBC(_u14624, tc_fun(_u14624, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14624)), _u14625)))), hAPP(c_COMBC(_u14624, _u14626, tc_HOL_Obool), _u14629))))), _u14627)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_if__image__distrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_if__image__distrib-1, axiom, ( ( hAPP(c_Set_Oimage(_u14630, _u14631, hAPP(hAPP(c_COMBS(_u14630, _u14631, _u14631), hAPP(hAPP(c_COMBS(_u14630, _u14631, tc_fun(_u14631, _u14631)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u14631, tc_fun(_u14631, _u14631)), _u14630), c_If(_u14631)), _u14632)), _u14633)), _u14634)), _u14635) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14631, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14630, _u14631, _u14633), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14630, tc_HOL_Obool)), _u14635), hAPP(c_Set_OCollect(_u14630), _u14632)))), hAPP(c_Set_Oimage(_u14630, _u14631, _u14634), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14630, tc_HOL_Obool)), _u14635), hAPP(c_Set_OCollect(_u14630), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14630), c_fNot), _u14632)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_dom__if ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_dom__if-1, axiom, ( ( c_Map_Odom(_u14636, _u14637, hAPP(hAPP(c_COMBS(_u14636, tc_Option_Ooption(_u14637), tc_Option_Ooption(_u14637)), hAPP(hAPP(c_COMBS(_u14636, tc_Option_Ooption(_u14637), tc_fun(tc_Option_Ooption(_u14637), tc_Option_Ooption(_u14637))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u14637), tc_fun(tc_Option_Ooption(_u14637), tc_Option_Ooption(_u14637))), _u14636), c_If(tc_Option_Ooption(_u14637))), _u14638)), _u14639)), _u14640)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14636, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14636, tc_HOL_Obool)), c_Map_Odom(_u14636, _u14637, _u14639)), hAPP(c_Set_OCollect(_u14636), _u14638))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14636, tc_HOL_Obool)), c_Map_Odom(_u14636, _u14637, _u14640)), hAPP(c_Set_OCollect(_u14636), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14636), c_fNot), _u14638))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_nat__seg__image__imp__finite ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_nat__seg__image__imp__finite-1, axiom, ( ( _u14641 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u14642, _u14643), 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)), _u14644)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14642), _u14641)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum__restrict__set_H ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum__restrict__set_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14645) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14646), _u14647)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14646, _u14645), _u14648), hAPP(c_Set_OCollect(_u14646), hAPP(hAPP(c_COMBS(_u14646, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14646), c_fconj), hAPP(hAPP(c_COMBC(_u14646, tc_fun(_u14646, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14646)), _u14647))), hAPP(hAPP(c_COMBC(_u14646, tc_fun(_u14646, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14646)), _u14649)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14646, _u14645), hAPP(hAPP(c_COMBC(_u14646, _u14645, _u14645), hAPP(hAPP(c_COMBS(_u14646, _u14645, tc_fun(_u14645, _u14645)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u14645, tc_fun(_u14645, _u14645)), _u14646), c_If(_u14645)), hAPP(hAPP(c_COMBC(_u14646, tc_fun(_u14646, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14646)), _u14649))), _u14648)), c_Groups_Ozero__class_Ozero(_u14645))), _u14647)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum__image__gen ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum__image__gen-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14650) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14651), _u14652)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14651, _u14650), _u14653), _u14652) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14654, _u14650), hAPP(hAPP(c_COMBB(tc_fun(_u14651, tc_HOL_Obool), _u14650, _u14654), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14651, _u14650), _u14653)), hAPP(hAPP(c_COMBB(tc_fun(_u14651, tc_HOL_Obool), tc_fun(_u14651, tc_HOL_Obool), _u14654), c_Set_OCollect(_u14651)), hAPP(hAPP(c_COMBB(tc_fun(_u14651, tc_HOL_Obool), tc_fun(_u14651, tc_HOL_Obool), _u14654), hAPP(c_COMBS(_u14651, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14651), c_fconj), hAPP(hAPP(c_COMBC(_u14651, tc_fun(_u14651, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14651)), _u14652)))), hAPP(c_COMBC(_u14651, _u14654, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14654, tc_fun(_u14654, tc_HOL_Obool), _u14651), c_fequal), _u14655)))))), hAPP(c_Set_Oimage(_u14651, _u14654, _u14655), _u14652))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Image__singleton ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Image__singleton-1, axiom, ( ( hAPP(c_Relation_OImage(_u14656, _u14657, _u14658), hAPP(hAPP(c_Set_Oinsert(_u14656), _u14659), c_Orderings_Obot__class_Obot(tc_fun(_u14656, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u14657), hAPP(hAPP(c_COMBC(_u14657, tc_fun(tc_prod(_u14656, _u14657), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14656, _u14657), tc_fun(tc_fun(tc_prod(_u14656, _u14657), tc_HOL_Obool), tc_HOL_Obool), _u14657), c_member(tc_prod(_u14656, _u14657))), hAPP(c_Product__Type_OPair(_u14656, _u14657), _u14659))), _u14658))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum__cases ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum__cases-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14660) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14661), _u14662)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14661, _u14660), hAPP(hAPP(c_COMBS(_u14661, _u14660, _u14660), hAPP(hAPP(c_COMBS(_u14661, _u14660, tc_fun(_u14660, _u14660)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u14660, tc_fun(_u14660, _u14660)), _u14661), c_If(_u14660)), _u14663)), _u14664)), _u14665)), _u14662) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14660), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14661, _u14660), _u14664), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14661, tc_HOL_Obool)), _u14662), hAPP(c_Set_OCollect(_u14661), _u14663)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14661, _u14660), _u14665), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14661, tc_HOL_Obool)), _u14662), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14661, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14661), _u14663)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_card__less__Suc ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_card__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14666)) | ( 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)), _u14666))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u14667))))) = 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)), _u14666))), 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, _u14667)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_card__less ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_card__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14668)) | ( 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)), _u14668))), 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, _u14669))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_dom__override__on ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_dom__override__on-1, axiom, ( ( c_Map_Odom(_u14670, _u14671, c_Fun_Ooverride__on(_u14670, tc_Option_Ooption(_u14671), _u14672, _u14673, _u14674)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14670, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14670, tc_HOL_Obool)), c_Map_Odom(_u14670, _u14671, _u14672)), hAPP(c_Set_OCollect(_u14670), hAPP(hAPP(c_COMBC(_u14670, tc_fun(_u14670, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14670)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14670, tc_HOL_Obool)), _u14674), c_Map_Odom(_u14670, _u14671, _u14673)))))), hAPP(c_Set_OCollect(_u14670), hAPP(hAPP(c_COMBC(_u14670, tc_fun(_u14670, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14670)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14670, tc_HOL_Obool)), _u14674), c_Map_Odom(_u14670, _u14671, _u14673)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum__multicount ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum__multicount-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14676), _u14677)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14678), _u14679)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14676, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_HOL_Obool), tc_Nat_Onat, _u14676), c_Finite__Set_Ocard(_u14678)), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_HOL_Obool), tc_fun(_u14678, tc_HOL_Obool), _u14676), c_Set_OCollect(_u14678)), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_HOL_Obool), tc_fun(_u14678, tc_HOL_Obool), _u14676), hAPP(c_COMBS(_u14678, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14678), c_fconj), hAPP(hAPP(c_COMBC(_u14678, tc_fun(_u14678, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14678)), _u14679)))), _u14680)))), _u14677) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14681), hAPP(c_Finite__Set_Ocard(_u14678), _u14679))) | hBOOL(hAPP(hAPP(c_member(_u14678), skolem324(_u14681, _u14680, _u14679, _u14678, _u14677, _u14676)), _u14679)) )).
% 27.68/27.90 cnf(fact_setsum__multicount-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14676), _u14677)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14678), _u14679)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14676, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_HOL_Obool), tc_Nat_Onat, _u14676), c_Finite__Set_Ocard(_u14678)), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_HOL_Obool), tc_fun(_u14678, tc_HOL_Obool), _u14676), c_Set_OCollect(_u14678)), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_HOL_Obool), tc_fun(_u14678, tc_HOL_Obool), _u14676), hAPP(c_COMBS(_u14678, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14678), c_fconj), hAPP(hAPP(c_COMBC(_u14678, tc_fun(_u14678, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14678)), _u14679)))), _u14680)))), _u14677) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14681), hAPP(c_Finite__Set_Ocard(_u14678), _u14679))) | ( hAPP(c_Finite__Set_Ocard(_u14676), hAPP(c_Set_OCollect(_u14676), hAPP(hAPP(c_COMBS(_u14676, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14676), c_fconj), hAPP(hAPP(c_COMBC(_u14676, tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14676)), _u14677))), hAPP(hAPP(c_COMBC(_u14676, _u14678, tc_HOL_Obool), _u14680), skolem324(_u14681, _u14680, _u14679, _u14678, _u14677, _u14676))))) != _u14681) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__Collect__subsets ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14682), _u14683)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u14682, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u14682, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u14682, tc_HOL_Obool), tc_fun(_u14682, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14682, tc_HOL_Obool))), _u14683)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Pow__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Pow__def-1, axiom, ( ( hAPP(c_Set_OPow(_u14684), _u14685) = hAPP(c_Set_OCollect(tc_fun(_u14684, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u14684, tc_HOL_Obool), tc_fun(_u14684, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14684, tc_HOL_Obool))), _u14685))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_override__on__apply__in ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_override__on__apply__in-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14686), _u14687), _u14688)) | ( hAPP(c_Fun_Ooverride__on(_u14686, _u14689, _u14690, _u14691, _u14688), _u14687) = hAPP(_u14691, _u14687)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_override__on__apply__notin ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_override__on__apply__notin-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14692), _u14693), _u14694)) | ( hAPP(c_Fun_Ooverride__on(_u14692, _u14695, _u14696, _u14697, _u14694), _u14693) = hAPP(_u14696, _u14693)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_override__on__emptyset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_override__on__emptyset-1, axiom, ( ( c_Fun_Ooverride__on(_u14698, _u14699, _u14700, _u14701, c_Orderings_Obot__class_Obot(tc_fun(_u14698, tc_HOL_Obool))) = _u14700) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__graph ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__graph-1, axiom, ( c_Fun_Oinj__on(tc_fun(_u14702, _u14703), tc_fun(tc_prod(_u14702, _u14703), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14702, _u14703), tc_HOL_Obool), tc_fun(tc_prod(_u14702, _u14703), tc_HOL_Obool), tc_fun(_u14702, _u14703)), c_Set_OCollect(tc_prod(_u14702, _u14703))), hAPP(hAPP(c_COMBB(tc_fun(_u14702, tc_fun(_u14703, tc_HOL_Obool)), tc_fun(tc_prod(_u14702, _u14703), tc_HOL_Obool), tc_fun(_u14702, _u14703)), c_Product__Type_Oprod_Oprod__case(_u14702, _u14703, tc_HOL_Obool)), hAPP(c_COMBB(_u14703, tc_fun(_u14703, tc_HOL_Obool), _u14702), hAPP(c_COMBC(_u14703, _u14703, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u14702, _u14703), tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J ( axiom ) converted to clauses:
% 27.68/27.90 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)))), _u14704))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_override__on__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_override__on__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14711), _u14713), _u14715)) | ( hAPP(c_Fun_Ooverride__on(_u14711, _u14717, _u14719, _u14721, _u14715), _u14713) = hAPP(_u14721, _u14713)) )).
% 27.68/27.90 cnf(fact_override__on__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14712), _u14714), _u14716)) | ( hAPP(c_Fun_Ooverride__on(_u14712, _u14718, _u14720, _u14722, _u14716), _u14714) = hAPP(_u14720, _u14714)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__psubset__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__psubset__def-1, axiom, ( ( c_Wellfounded_Ofinite__psubset(_u14723) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u14723, tc_HOL_Obool), tc_fun(_u14723, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u14723, tc_HOL_Obool), tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u14723, tc_HOL_Obool), tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u14723, tc_HOL_Obool)), c_COMBS(tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u14723, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u14723, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u14723, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u14723))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inv__image__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inv__image__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u14724, _u14725), _u14726), _u14727) = hAPP(c_Set_OCollect(tc_prod(_u14725, _u14725)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14725, _u14725, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14725, tc_fun(tc_prod(_u14724, _u14724), tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_fun(tc_fun(tc_prod(_u14724, _u14724), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14724, _u14724), tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool)), _u14725), c_COMBC(_u14725, tc_fun(tc_prod(_u14724, _u14724), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_prod(_u14724, _u14724)), tc_fun(_u14725, tc_fun(tc_fun(tc_prod(_u14724, _u14724), tc_HOL_Obool), tc_HOL_Obool)), _u14725), hAPP(c_COMBB(tc_prod(_u14724, _u14724), tc_fun(tc_fun(tc_prod(_u14724, _u14724), tc_HOL_Obool), tc_HOL_Obool), _u14725), c_member(tc_prod(_u14724, _u14724)))), hAPP(hAPP(c_COMBC(_u14725, tc_fun(_u14725, _u14724), tc_fun(_u14725, tc_prod(_u14724, _u14724))), hAPP(hAPP(c_COMBB(tc_fun(_u14724, tc_prod(_u14724, _u14724)), tc_fun(tc_fun(_u14725, _u14724), tc_fun(_u14725, tc_prod(_u14724, _u14724))), _u14725), c_COMBB(_u14724, tc_prod(_u14724, _u14724), _u14725)), hAPP(hAPP(c_COMBB(_u14724, tc_fun(_u14724, tc_prod(_u14724, _u14724)), _u14725), c_Product__Type_OPair(_u14724, _u14724)), _u14727))), _u14727)))), _u14726)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J ( axiom ) converted to clauses:
% 27.68/27.90 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)))), _u14728)) = 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), _u14728), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u14729) = 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), _u14729), c_Int_Onat))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Nitpick_Oprod__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Nitpick_Oprod__def-1, axiom, ( ( c_Nitpick_Oprod(_u14730, _u14731, _u14732, _u14733) = hAPP(c_Set_OCollect(tc_prod(_u14730, _u14731)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14730, _u14731, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14730, tc_fun(_u14731, tc_HOL_Obool), tc_fun(_u14731, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14731, tc_HOL_Obool), tc_fun(_u14731, tc_HOL_Obool)), _u14730), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14731)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14730), c_fconj), hAPP(hAPP(c_COMBC(_u14730, tc_fun(_u14730, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14730)), _u14732)))), hAPP(hAPP(c_COMBC(_u14731, tc_fun(_u14731, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14731)), _u14733))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_int__ge__less__than__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_int__ge__less__than__def-1, axiom, ( ( c_Int_Oint__ge__less__than(_u14734) = 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), _u14734)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_int__ge__less__than2__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_int__ge__less__than2__def-1, axiom, ( ( c_Int_Oint__ge__less__than2(_u14735) = 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), _u14735)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_reflp__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_reflp__def-1, axiom, ( ~c_Predicate_Oreflp(_u14738, _u14740) | c_Relation_Orefl__on(_u14738, c_Orderings_Otop__class_Otop(tc_fun(_u14738, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14738, _u14738)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14738, _u14738, tc_HOL_Obool), _u14740))) )).
% 27.68/27.90 cnf(fact_reflp__def-2, axiom, ( ~c_Relation_Orefl__on(_u14739, c_Orderings_Otop__class_Otop(tc_fun(_u14739, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14739, _u14739)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14739, _u14739, tc_HOL_Obool), _u14741))) | c_Predicate_Oreflp(_u14739, _u14741) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_reflpE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_reflpE-1, axiom, ( hBOOL(hAPP(hAPP(_u14743, _u14744), _u14744)) | ~c_Predicate_Oreflp(_u14742, _u14743) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_min__max_Oinf__Sup2__distrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_min__max_Oinf__Sup2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u14745) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14745), _u14746)) | ( _u14746 = c_Orderings_Obot__class_Obot(tc_fun(_u14745, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14745), _u14747)) | ( _u14747 = c_Orderings_Obot__class_Obot(tc_fun(_u14745, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14745), c_Big__Operators_Olattice_OSup__fin(_u14745, c_Orderings_Oord__class_Omax(_u14745), _u14746)), c_Big__Operators_Olattice_OSup__fin(_u14745, c_Orderings_Oord__class_Omax(_u14745), _u14747)) = c_Big__Operators_Olattice_OSup__fin(_u14745, c_Orderings_Oord__class_Omax(_u14745), hAPP(c_Set_OCollect(_u14745), hAPP(hAPP(c_COMBB(tc_fun(_u14745, tc_HOL_Obool), tc_HOL_Obool, _u14745), c_HOL_OEx(_u14745)), hAPP(hAPP(c_COMBB(tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14745, tc_HOL_Obool), _u14745), hAPP(c_COMBB(tc_fun(_u14745, tc_HOL_Obool), tc_HOL_Obool, _u14745), c_HOL_OEx(_u14745))), hAPP(hAPP(c_COMBC(_u14745, tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14745, tc_fun(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool))), tc_fun(tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool))), _u14745), c_COMBS(_u14745, tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14745, tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14745, tc_fun(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool))), _u14745), 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)), _u14745), c_COMBS(_u14745, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14745, tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14745), hAPP(c_COMBB(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14745), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14745), c_fconj))), hAPP(hAPP(c_COMBC(_u14745, tc_fun(_u14745, tc_fun(_u14745, _u14745)), tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14745, _u14745), tc_fun(_u14745, tc_HOL_Obool)), tc_fun(tc_fun(_u14745, tc_fun(_u14745, _u14745)), tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool))), _u14745), c_COMBB(tc_fun(_u14745, _u14745), tc_fun(_u14745, tc_HOL_Obool), _u14745)), hAPP(hAPP(c_COMBB(tc_fun(_u14745, tc_HOL_Obool), tc_fun(tc_fun(_u14745, _u14745), tc_fun(_u14745, tc_HOL_Obool)), _u14745), c_COMBB(_u14745, tc_HOL_Obool, _u14745)), c_fequal))), c_Orderings_Oord__class_Omin(_u14745)))))), hAPP(hAPP(c_COMBC(_u14745, 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)), _u14745), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14745)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14745), c_fconj), hAPP(hAPP(c_COMBC(_u14745, tc_fun(_u14745, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14745)), _u14746)))), hAPP(hAPP(c_COMBC(_u14745, tc_fun(_u14745, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14745)), _u14747)))))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_min__max_Osup__Inf2__distrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_min__max_Osup__Inf2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u14748) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14748), _u14749)) | ( _u14749 = c_Orderings_Obot__class_Obot(tc_fun(_u14748, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14748), _u14750)) | ( _u14750 = c_Orderings_Obot__class_Obot(tc_fun(_u14748, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14748), c_Big__Operators_Olattice_OInf__fin(_u14748, c_Orderings_Oord__class_Omin(_u14748), _u14749)), c_Big__Operators_Olattice_OInf__fin(_u14748, c_Orderings_Oord__class_Omin(_u14748), _u14750)) = c_Big__Operators_Olattice_OInf__fin(_u14748, c_Orderings_Oord__class_Omin(_u14748), hAPP(c_Set_OCollect(_u14748), hAPP(hAPP(c_COMBB(tc_fun(_u14748, tc_HOL_Obool), tc_HOL_Obool, _u14748), c_HOL_OEx(_u14748)), hAPP(hAPP(c_COMBB(tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool)), tc_fun(_u14748, tc_HOL_Obool), _u14748), hAPP(c_COMBB(tc_fun(_u14748, tc_HOL_Obool), tc_HOL_Obool, _u14748), c_HOL_OEx(_u14748))), hAPP(hAPP(c_COMBC(_u14748, tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool)), tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14748, tc_fun(tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_HOL_Obool))), tc_fun(tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool)), tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool))), _u14748), c_COMBS(_u14748, tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14748, tc_fun(_u14748, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14748, tc_fun(tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_HOL_Obool))), _u14748), hAPP(c_COMBB(tc_fun(_u14748, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_HOL_Obool)), _u14748), c_COMBS(_u14748, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool)), tc_fun(_u14748, tc_fun(_u14748, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14748), hAPP(c_COMBB(tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14748), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14748), c_fconj))), hAPP(hAPP(c_COMBC(_u14748, tc_fun(_u14748, tc_fun(_u14748, _u14748)), tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14748, _u14748), tc_fun(_u14748, tc_HOL_Obool)), tc_fun(tc_fun(_u14748, tc_fun(_u14748, _u14748)), tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool))), _u14748), c_COMBB(tc_fun(_u14748, _u14748), tc_fun(_u14748, tc_HOL_Obool), _u14748)), hAPP(hAPP(c_COMBB(tc_fun(_u14748, tc_HOL_Obool), tc_fun(tc_fun(_u14748, _u14748), tc_fun(_u14748, tc_HOL_Obool)), _u14748), c_COMBB(_u14748, tc_HOL_Obool, _u14748)), c_fequal))), c_Orderings_Oord__class_Omax(_u14748)))))), hAPP(hAPP(c_COMBC(_u14748, tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_HOL_Obool)), _u14748), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14748)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14748), c_fconj), hAPP(hAPP(c_COMBC(_u14748, tc_fun(_u14748, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14748)), _u14749)))), hAPP(hAPP(c_COMBC(_u14748, tc_fun(_u14748, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14748)), _u14750)))))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__Collect__bounded__ex ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__Collect__bounded__ex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14753), hAPP(c_Set_OCollect(_u14753), _u14754))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14755), hAPP(c_Set_OCollect(_u14755), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_HOL_Obool, _u14755), c_HOL_OEx(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14755), 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), _u14754))), _u14756))))) | ~hBOOL(hAPP(_u14754, _u14751)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14755), hAPP(c_Set_OCollect(_u14755), hAPP(hAPP(c_COMBC(_u14755, _u14753, tc_HOL_Obool), _u14756), _u14751)))) )).
% 27.68/27.90 cnf(fact_finite__Collect__bounded__ex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14753), hAPP(c_Set_OCollect(_u14753), _u14754))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14755), hAPP(c_Set_OCollect(_u14755), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_HOL_Obool, _u14755), c_HOL_OEx(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14755), 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), _u14754))), _u14756))))) | hBOOL(hAPP(_u14754, skolem325(_u14756, _u14755, _u14754, _u14753))) )).
% 27.68/27.90 cnf(fact_finite__Collect__bounded__ex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14753), hAPP(c_Set_OCollect(_u14753), _u14754))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14755), hAPP(c_Set_OCollect(_u14755), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_HOL_Obool, _u14755), c_HOL_OEx(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14755), 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), _u14754))), _u14756))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14755), hAPP(c_Set_OCollect(_u14755), hAPP(hAPP(c_COMBC(_u14755, _u14753, tc_HOL_Obool), _u14756), skolem325(_u14756, _u14755, _u14754, _u14753))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__image__set ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__image__set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14757), hAPP(c_Set_OCollect(_u14757), _u14758))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14759), hAPP(c_Set_OCollect(_u14759), hAPP(hAPP(c_COMBB(tc_fun(_u14757, tc_HOL_Obool), tc_HOL_Obool, _u14759), c_HOL_OEx(_u14757)), hAPP(hAPP(c_COMBC(_u14759, tc_fun(_u14757, tc_HOL_Obool), tc_fun(_u14757, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14757, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14757, tc_HOL_Obool), tc_fun(_u14757, tc_HOL_Obool)), _u14759), c_COMBS(_u14757, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14757, tc_HOL_Obool), tc_fun(_u14757, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14759), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14757), c_fconj)), hAPP(hAPP(c_COMBC(_u14759, tc_fun(_u14757, _u14759), tc_fun(_u14757, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14759, tc_HOL_Obool), tc_fun(tc_fun(_u14757, _u14759), tc_fun(_u14757, tc_HOL_Obool)), _u14759), c_COMBB(_u14759, tc_HOL_Obool, _u14757)), c_fequal)), _u14760)))), _u14758))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_ran__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_ran__def-1, axiom, ( ( c_Map_Oran(_u14761, _u14762, _u14763) = hAPP(c_Set_OCollect(_u14762), hAPP(hAPP(c_COMBB(tc_fun(_u14761, tc_HOL_Obool), tc_HOL_Obool, _u14762), c_HOL_OEx(_u14761)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14762), tc_fun(_u14761, tc_HOL_Obool), _u14762), hAPP(c_COMBC(_u14761, tc_Option_Ooption(_u14762), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14762), tc_fun(tc_Option_Ooption(_u14762), tc_HOL_Obool), _u14761), c_fequal), _u14763))), c_Option_Ooption_OSome(_u14762))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Pow__Compl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Pow__Compl-1, axiom, ( ( hAPP(c_Set_OPow(_u14764), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14764, tc_HOL_Obool)), _u14765)) = hAPP(c_Set_OCollect(tc_fun(_u14764, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u14764, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u14764, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u14764, tc_HOL_Obool), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u14764, tc_HOL_Obool)), c_COMBS(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u14764, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u14764, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u14764, tc_HOL_Obool), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_fun(_u14764, tc_HOL_Obool)), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_fun(_u14764, tc_HOL_Obool)), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u14764, tc_HOL_Obool)), c_COMBB(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u14764, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u14764, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u14764, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u14764, tc_HOL_Obool)), _u14765)), c_Set_OPow(_u14764)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_add__Min__commute ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_add__Min__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u14766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14766), _u14767)) | ( _u14767 = c_Orderings_Obot__class_Obot(tc_fun(_u14766, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14766), _u14768), c_Big__Operators_Olinorder__class_OMin(_u14766, _u14767)) = c_Big__Operators_Olinorder__class_OMin(_u14766, hAPP(c_Set_OCollect(_u14766), hAPP(hAPP(c_COMBB(tc_fun(_u14766, tc_HOL_Obool), tc_HOL_Obool, _u14766), c_HOL_OEx(_u14766)), hAPP(hAPP(c_COMBC(_u14766, tc_fun(_u14766, tc_HOL_Obool), tc_fun(_u14766, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14766, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14766, tc_HOL_Obool), tc_fun(_u14766, tc_HOL_Obool)), _u14766), c_COMBS(_u14766, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14766, tc_HOL_Obool), tc_fun(_u14766, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14766), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14766), c_fconj)), hAPP(hAPP(c_COMBC(_u14766, tc_fun(_u14766, _u14766), tc_fun(_u14766, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14766, tc_HOL_Obool), tc_fun(tc_fun(_u14766, _u14766), tc_fun(_u14766, tc_HOL_Obool)), _u14766), c_COMBB(_u14766, tc_HOL_Obool, _u14766)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u14766), _u14768))))), hAPP(hAPP(c_COMBC(_u14766, tc_fun(_u14766, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14766)), _u14767)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_add__Max__commute ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_add__Max__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u14769) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14769), _u14770)) | ( _u14770 = c_Orderings_Obot__class_Obot(tc_fun(_u14769, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14769), _u14771), c_Big__Operators_Olinorder__class_OMax(_u14769, _u14770)) = c_Big__Operators_Olinorder__class_OMax(_u14769, hAPP(c_Set_OCollect(_u14769), hAPP(hAPP(c_COMBB(tc_fun(_u14769, tc_HOL_Obool), tc_HOL_Obool, _u14769), c_HOL_OEx(_u14769)), hAPP(hAPP(c_COMBC(_u14769, tc_fun(_u14769, tc_HOL_Obool), tc_fun(_u14769, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14769, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14769, tc_HOL_Obool), tc_fun(_u14769, tc_HOL_Obool)), _u14769), c_COMBS(_u14769, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14769, tc_HOL_Obool), tc_fun(_u14769, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14769), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14769), c_fconj)), hAPP(hAPP(c_COMBC(_u14769, tc_fun(_u14769, _u14769), tc_fun(_u14769, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14769, tc_HOL_Obool), tc_fun(tc_fun(_u14769, _u14769), tc_fun(_u14769, tc_HOL_Obool)), _u14769), c_COMBB(_u14769, tc_HOL_Obool, _u14769)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u14769), _u14771))))), hAPP(hAPP(c_COMBC(_u14769, tc_fun(_u14769, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14769)), _u14770)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_sup__Inf1__distrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_sup__Inf1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u14772) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14772), _u14773)) | ( _u14773 = c_Orderings_Obot__class_Obot(tc_fun(_u14772, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14772), _u14774), c_Big__Operators_Olattice__class_OInf__fin(_u14772, _u14773)) = c_Big__Operators_Olattice__class_OInf__fin(_u14772, hAPP(c_Set_OCollect(_u14772), hAPP(hAPP(c_COMBB(tc_fun(_u14772, tc_HOL_Obool), tc_HOL_Obool, _u14772), c_HOL_OEx(_u14772)), hAPP(hAPP(c_COMBC(_u14772, tc_fun(_u14772, tc_HOL_Obool), tc_fun(_u14772, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14772, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14772, tc_HOL_Obool), tc_fun(_u14772, tc_HOL_Obool)), _u14772), c_COMBS(_u14772, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14772, tc_HOL_Obool), tc_fun(_u14772, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14772), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14772), c_fconj)), hAPP(hAPP(c_COMBC(_u14772, tc_fun(_u14772, _u14772), tc_fun(_u14772, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14772, tc_HOL_Obool), tc_fun(tc_fun(_u14772, _u14772), tc_fun(_u14772, tc_HOL_Obool)), _u14772), c_COMBB(_u14772, tc_HOL_Obool, _u14772)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14772), _u14774))))), hAPP(hAPP(c_COMBC(_u14772, tc_fun(_u14772, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14772)), _u14773)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_sup__Inf2__distrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_sup__Inf2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u14775) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14775), _u14776)) | ( _u14776 = c_Orderings_Obot__class_Obot(tc_fun(_u14775, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14775), _u14777)) | ( _u14777 = c_Orderings_Obot__class_Obot(tc_fun(_u14775, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14775), c_Big__Operators_Olattice__class_OInf__fin(_u14775, _u14776)), c_Big__Operators_Olattice__class_OInf__fin(_u14775, _u14777)) = c_Big__Operators_Olattice__class_OInf__fin(_u14775, hAPP(c_Set_OCollect(_u14775), hAPP(hAPP(c_COMBB(tc_fun(_u14775, tc_HOL_Obool), tc_HOL_Obool, _u14775), c_HOL_OEx(_u14775)), hAPP(hAPP(c_COMBB(tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool)), tc_fun(_u14775, tc_HOL_Obool), _u14775), hAPP(c_COMBB(tc_fun(_u14775, tc_HOL_Obool), tc_HOL_Obool, _u14775), c_HOL_OEx(_u14775))), hAPP(hAPP(c_COMBC(_u14775, tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool)), tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14775, tc_fun(tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_HOL_Obool))), tc_fun(tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool)), tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool))), _u14775), c_COMBS(_u14775, tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14775, tc_fun(_u14775, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14775, tc_fun(tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_HOL_Obool))), _u14775), hAPP(c_COMBB(tc_fun(_u14775, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_HOL_Obool)), _u14775), c_COMBS(_u14775, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool)), tc_fun(_u14775, tc_fun(_u14775, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14775), hAPP(c_COMBB(tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14775), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14775), c_fconj))), hAPP(hAPP(c_COMBC(_u14775, tc_fun(_u14775, tc_fun(_u14775, _u14775)), tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14775, _u14775), tc_fun(_u14775, tc_HOL_Obool)), tc_fun(tc_fun(_u14775, tc_fun(_u14775, _u14775)), tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool))), _u14775), c_COMBB(tc_fun(_u14775, _u14775), tc_fun(_u14775, tc_HOL_Obool), _u14775)), hAPP(hAPP(c_COMBB(tc_fun(_u14775, tc_HOL_Obool), tc_fun(tc_fun(_u14775, _u14775), tc_fun(_u14775, tc_HOL_Obool)), _u14775), c_COMBB(_u14775, tc_HOL_Obool, _u14775)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u14775)))))), hAPP(hAPP(c_COMBC(_u14775, tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_HOL_Obool)), _u14775), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14775)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14775), c_fconj), hAPP(hAPP(c_COMBC(_u14775, tc_fun(_u14775, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14775)), _u14776)))), hAPP(hAPP(c_COMBC(_u14775, tc_fun(_u14775, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14775)), _u14777)))))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inf__Sup2__distrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inf__Sup2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u14778) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14778), _u14779)) | ( _u14779 = c_Orderings_Obot__class_Obot(tc_fun(_u14778, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14778), _u14780)) | ( _u14780 = c_Orderings_Obot__class_Obot(tc_fun(_u14778, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14778), c_Big__Operators_Olattice__class_OSup__fin(_u14778, _u14779)), c_Big__Operators_Olattice__class_OSup__fin(_u14778, _u14780)) = c_Big__Operators_Olattice__class_OSup__fin(_u14778, hAPP(c_Set_OCollect(_u14778), hAPP(hAPP(c_COMBB(tc_fun(_u14778, tc_HOL_Obool), tc_HOL_Obool, _u14778), c_HOL_OEx(_u14778)), hAPP(hAPP(c_COMBB(tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool)), tc_fun(_u14778, tc_HOL_Obool), _u14778), hAPP(c_COMBB(tc_fun(_u14778, tc_HOL_Obool), tc_HOL_Obool, _u14778), c_HOL_OEx(_u14778))), hAPP(hAPP(c_COMBC(_u14778, tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool)), tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14778, tc_fun(tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_HOL_Obool))), tc_fun(tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool)), tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool))), _u14778), c_COMBS(_u14778, tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14778, tc_fun(_u14778, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14778, tc_fun(tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_HOL_Obool))), _u14778), hAPP(c_COMBB(tc_fun(_u14778, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_HOL_Obool)), _u14778), c_COMBS(_u14778, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool)), tc_fun(_u14778, tc_fun(_u14778, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14778), hAPP(c_COMBB(tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14778), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14778), c_fconj))), hAPP(hAPP(c_COMBC(_u14778, tc_fun(_u14778, tc_fun(_u14778, _u14778)), tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14778, _u14778), tc_fun(_u14778, tc_HOL_Obool)), tc_fun(tc_fun(_u14778, tc_fun(_u14778, _u14778)), tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool))), _u14778), c_COMBB(tc_fun(_u14778, _u14778), tc_fun(_u14778, tc_HOL_Obool), _u14778)), hAPP(hAPP(c_COMBB(tc_fun(_u14778, tc_HOL_Obool), tc_fun(tc_fun(_u14778, _u14778), tc_fun(_u14778, tc_HOL_Obool)), _u14778), c_COMBB(_u14778, tc_HOL_Obool, _u14778)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u14778)))))), hAPP(hAPP(c_COMBC(_u14778, tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_HOL_Obool)), _u14778), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14778)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14778), c_fconj), hAPP(hAPP(c_COMBC(_u14778, tc_fun(_u14778, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14778)), _u14779)))), hAPP(hAPP(c_COMBC(_u14778, tc_fun(_u14778, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14778)), _u14780)))))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inf__Sup1__distrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inf__Sup1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u14781) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14781), _u14782)) | ( _u14782 = c_Orderings_Obot__class_Obot(tc_fun(_u14781, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14781), _u14783), c_Big__Operators_Olattice__class_OSup__fin(_u14781, _u14782)) = c_Big__Operators_Olattice__class_OSup__fin(_u14781, hAPP(c_Set_OCollect(_u14781), hAPP(hAPP(c_COMBB(tc_fun(_u14781, tc_HOL_Obool), tc_HOL_Obool, _u14781), c_HOL_OEx(_u14781)), hAPP(hAPP(c_COMBC(_u14781, tc_fun(_u14781, tc_HOL_Obool), tc_fun(_u14781, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14781, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14781, tc_HOL_Obool), tc_fun(_u14781, tc_HOL_Obool)), _u14781), c_COMBS(_u14781, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14781, tc_HOL_Obool), tc_fun(_u14781, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14781), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14781), c_fconj)), hAPP(hAPP(c_COMBC(_u14781, tc_fun(_u14781, _u14781), tc_fun(_u14781, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14781, tc_HOL_Obool), tc_fun(tc_fun(_u14781, _u14781), tc_fun(_u14781, tc_HOL_Obool)), _u14781), c_COMBB(_u14781, tc_HOL_Obool, _u14781)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14781), _u14783))))), hAPP(hAPP(c_COMBC(_u14781, tc_fun(_u14781, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14781)), _u14782)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_min__max_Osup__Inf1__distrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_min__max_Osup__Inf1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u14784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14784), _u14785)) | ( _u14785 = c_Orderings_Obot__class_Obot(tc_fun(_u14784, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14784), _u14786), c_Big__Operators_Olattice_OInf__fin(_u14784, c_Orderings_Oord__class_Omin(_u14784), _u14785)) = c_Big__Operators_Olattice_OInf__fin(_u14784, c_Orderings_Oord__class_Omin(_u14784), hAPP(c_Set_OCollect(_u14784), hAPP(hAPP(c_COMBB(tc_fun(_u14784, tc_HOL_Obool), tc_HOL_Obool, _u14784), c_HOL_OEx(_u14784)), hAPP(hAPP(c_COMBC(_u14784, tc_fun(_u14784, tc_HOL_Obool), tc_fun(_u14784, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14784, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14784, tc_HOL_Obool), tc_fun(_u14784, tc_HOL_Obool)), _u14784), c_COMBS(_u14784, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14784, tc_HOL_Obool), tc_fun(_u14784, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14784), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14784), c_fconj)), hAPP(hAPP(c_COMBC(_u14784, tc_fun(_u14784, _u14784), tc_fun(_u14784, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14784, tc_HOL_Obool), tc_fun(tc_fun(_u14784, _u14784), tc_fun(_u14784, tc_HOL_Obool)), _u14784), c_COMBB(_u14784, tc_HOL_Obool, _u14784)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u14784), _u14786))))), hAPP(hAPP(c_COMBC(_u14784, tc_fun(_u14784, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14784)), _u14785)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_min__max_Oinf__Sup1__distrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_min__max_Oinf__Sup1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u14787) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14787), _u14788)) | ( _u14788 = c_Orderings_Obot__class_Obot(tc_fun(_u14787, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14787), _u14789), c_Big__Operators_Olattice_OSup__fin(_u14787, c_Orderings_Oord__class_Omax(_u14787), _u14788)) = c_Big__Operators_Olattice_OSup__fin(_u14787, c_Orderings_Oord__class_Omax(_u14787), hAPP(c_Set_OCollect(_u14787), hAPP(hAPP(c_COMBB(tc_fun(_u14787, tc_HOL_Obool), tc_HOL_Obool, _u14787), c_HOL_OEx(_u14787)), hAPP(hAPP(c_COMBC(_u14787, tc_fun(_u14787, tc_HOL_Obool), tc_fun(_u14787, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14787, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14787, tc_HOL_Obool), tc_fun(_u14787, tc_HOL_Obool)), _u14787), c_COMBS(_u14787, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14787, tc_HOL_Obool), tc_fun(_u14787, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14787), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14787), c_fconj)), hAPP(hAPP(c_COMBC(_u14787, tc_fun(_u14787, _u14787), tc_fun(_u14787, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14787, tc_HOL_Obool), tc_fun(tc_fun(_u14787, _u14787), tc_fun(_u14787, tc_HOL_Obool)), _u14787), c_COMBB(_u14787, tc_HOL_Obool, _u14787)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u14787), _u14789))))), hAPP(hAPP(c_COMBC(_u14787, tc_fun(_u14787, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14787)), _u14788)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum__mult__setsum__if__inj ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum__mult__setsum__if__inj-1, axiom, ( ~class_Rings_Osemiring__0(_u14790) | ~c_Fun_Oinj__on(tc_prod(_u14791, _u14792), _u14790, hAPP(c_Product__Type_Oprod_Oprod__case(_u14791, _u14792, _u14790), hAPP(hAPP(c_COMBC(_u14791, tc_fun(_u14792, _u14790), tc_fun(_u14792, _u14790)), hAPP(hAPP(c_COMBB(tc_fun(_u14790, _u14790), tc_fun(tc_fun(_u14792, _u14790), tc_fun(_u14792, _u14790)), _u14791), c_COMBB(_u14790, _u14790, _u14792)), hAPP(hAPP(c_COMBB(_u14790, tc_fun(_u14790, _u14790), _u14791), c_Groups_Otimes__class_Otimes(_u14790)), _u14793))), _u14794)), hAPP(hAPP(c_Product__Type_OSigma(_u14791, _u14792), _u14795), hAPP(c_COMBK(tc_fun(_u14792, tc_HOL_Obool), _u14791), _u14796))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14790), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14791, _u14790), _u14793), _u14795)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14792, _u14790), _u14794), _u14796)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14790, _u14790), c_Fun_Oid(_u14790)), hAPP(c_Set_OCollect(_u14790), hAPP(hAPP(c_COMBB(tc_fun(_u14791, tc_HOL_Obool), tc_HOL_Obool, _u14790), c_HOL_OEx(_u14791)), hAPP(hAPP(c_COMBB(tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool)), tc_fun(_u14791, tc_HOL_Obool), _u14790), hAPP(c_COMBB(tc_fun(_u14792, tc_HOL_Obool), tc_HOL_Obool, _u14791), c_HOL_OEx(_u14792))), hAPP(hAPP(c_COMBC(_u14790, tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool)), tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14791, tc_fun(tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_HOL_Obool))), tc_fun(tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool)), tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool))), _u14790), c_COMBS(_u14791, tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14791, tc_fun(_u14792, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14791, tc_fun(tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_HOL_Obool))), _u14790), hAPP(c_COMBB(tc_fun(_u14792, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_HOL_Obool)), _u14791), c_COMBS(_u14792, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool)), tc_fun(_u14791, tc_fun(_u14792, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14790), hAPP(c_COMBB(tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14791), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14792), c_fconj))), hAPP(hAPP(c_COMBC(_u14790, tc_fun(_u14791, tc_fun(_u14792, _u14790)), tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14792, _u14790), tc_fun(_u14792, tc_HOL_Obool)), tc_fun(tc_fun(_u14791, tc_fun(_u14792, _u14790)), tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool))), _u14790), c_COMBB(tc_fun(_u14792, _u14790), tc_fun(_u14792, tc_HOL_Obool), _u14791)), hAPP(hAPP(c_COMBB(tc_fun(_u14790, tc_HOL_Obool), tc_fun(tc_fun(_u14792, _u14790), tc_fun(_u14792, tc_HOL_Obool)), _u14790), c_COMBB(_u14790, tc_HOL_Obool, _u14792)), c_fequal))), hAPP(hAPP(c_COMBC(_u14791, tc_fun(_u14792, _u14790), tc_fun(_u14792, _u14790)), hAPP(hAPP(c_COMBB(tc_fun(_u14790, _u14790), tc_fun(tc_fun(_u14792, _u14790), tc_fun(_u14792, _u14790)), _u14791), c_COMBB(_u14790, _u14790, _u14792)), hAPP(hAPP(c_COMBB(_u14790, tc_fun(_u14790, _u14790), _u14791), c_Groups_Otimes__class_Otimes(_u14790)), _u14793))), _u14794)))))), hAPP(hAPP(c_COMBC(_u14791, tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_HOL_Obool)), _u14791), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14792)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14791), c_fconj), hAPP(hAPP(c_COMBC(_u14791, tc_fun(_u14791, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14791)), _u14795)))), hAPP(hAPP(c_COMBC(_u14792, tc_fun(_u14792, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14792)), _u14796)))))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum__multicount__gen ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum__multicount__gen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14798), _u14799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14800), _u14801)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14798, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14800, tc_HOL_Obool), tc_Nat_Onat, _u14798), c_Finite__Set_Ocard(_u14800)), hAPP(hAPP(c_COMBB(tc_fun(_u14800, tc_HOL_Obool), tc_fun(_u14800, tc_HOL_Obool), _u14798), c_Set_OCollect(_u14800)), hAPP(hAPP(c_COMBB(tc_fun(_u14800, tc_HOL_Obool), tc_fun(_u14800, tc_HOL_Obool), _u14798), hAPP(c_COMBS(_u14800, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14800), c_fconj), hAPP(hAPP(c_COMBC(_u14800, tc_fun(_u14800, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14800)), _u14801)))), _u14802)))), _u14799) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14800, tc_Nat_Onat), _u14803), _u14801)) | hBOOL(hAPP(hAPP(c_member(_u14800), skolem326(_u14803, _u14802, _u14801, _u14800, _u14799, _u14798)), _u14801)) )).
% 27.68/27.90 cnf(fact_setsum__multicount__gen-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14798), _u14799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14800), _u14801)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14798, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14800, tc_HOL_Obool), tc_Nat_Onat, _u14798), c_Finite__Set_Ocard(_u14800)), hAPP(hAPP(c_COMBB(tc_fun(_u14800, tc_HOL_Obool), tc_fun(_u14800, tc_HOL_Obool), _u14798), c_Set_OCollect(_u14800)), hAPP(hAPP(c_COMBB(tc_fun(_u14800, tc_HOL_Obool), tc_fun(_u14800, tc_HOL_Obool), _u14798), hAPP(c_COMBS(_u14800, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14800), c_fconj), hAPP(hAPP(c_COMBC(_u14800, tc_fun(_u14800, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14800)), _u14801)))), _u14802)))), _u14799) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14800, tc_Nat_Onat), _u14803), _u14801)) | ( hAPP(c_Finite__Set_Ocard(_u14798), hAPP(c_Set_OCollect(_u14798), hAPP(hAPP(c_COMBS(_u14798, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14798), c_fconj), hAPP(hAPP(c_COMBC(_u14798, tc_fun(_u14798, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14798)), _u14799))), hAPP(hAPP(c_COMBC(_u14798, _u14800, tc_HOL_Obool), _u14802), skolem326(_u14803, _u14802, _u14801, _u14800, _u14799, _u14798))))) != hAPP(_u14803, skolem326(_u14803, _u14802, _u14801, _u14800, _u14799, _u14798))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_inj__on__id-1, axiom, ( c_Fun_Oinj__on(_u14804, _u14804, c_Fun_Oid(_u14804), _u14805) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_o__id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_o__id-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14806, _u14807, _u14806, _u14808), c_Fun_Oid(_u14806)) = _u14808) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_id__o ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_id__o-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14809, _u14809, _u14810, c_Fun_Oid(_u14809)), _u14811) = _u14811) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_o__eq__id__dest ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_o__eq__id__dest-1, axiom, ( ( hAPP(_u14815, hAPP(_u14816, _u14818)) = hAPP(_u14817, _u14818)) | ( hAPP(c_Fun_Ocomp(_u14812, _u14813, _u14814, _u14815), _u14816) != hAPP(c_Fun_Ocomp(_u14813, _u14813, _u14814, c_Fun_Oid(_u14813)), _u14817)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_vimage__id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_vimage__id-1, axiom, ( ( hAPP(c_Set_Ovimage(_u14819, _u14819, c_Fun_Oid(_u14819)), _u14820) = _u14820) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_id__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_id__def-1, axiom, ( ( hAPP(c_Fun_Oid(_u14821), _u14822) = _u14822) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_id__apply ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_id__apply-1, axiom, ( ( hAPP(c_Fun_Oid(_u14823), _u14824) = _u14824) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_apfst__id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_apfst__id-1, axiom, ( ( c_Product__Type_Oapfst(_u14825, _u14825, _u14826, c_Fun_Oid(_u14825)) = c_Fun_Oid(tc_prod(_u14825, _u14826))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_apsnd__id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_apsnd__id-1, axiom, ( ( c_Product__Type_Oapsnd(_u14827, _u14827, _u14828, c_Fun_Oid(_u14827)) = c_Fun_Oid(tc_prod(_u14828, _u14827))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_of__int__eq__id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_of__int__eq__id-1, axiom, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_map__pair_Oidentity ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_map__pair_Oidentity-1, axiom, ( ( c_Product__Type_Omap__pair(_u14829, _u14829, _u14830, _u14830, c_COMBI(_u14829), c_COMBI(_u14830)) = c_Fun_Oid(tc_prod(_u14829, _u14830))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_map__pair_Oid ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_map__pair_Oid-1, axiom, ( ( c_Product__Type_Omap__pair(_u14831, _u14831, _u14832, _u14832, c_Fun_Oid(_u14831), c_Fun_Oid(_u14832)) = c_Fun_Oid(tc_prod(_u14831, _u14832))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_image__id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_image__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u14833, _u14833, c_Fun_Oid(_u14833)), _u14834) = _u14834) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_surj__id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_surj__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u14835, _u14835, c_Fun_Oid(_u14835)), c_Orderings_Otop__class_Otop(tc_fun(_u14835, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u14835, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_folding_Oempty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_folding_Oempty-1, axiom, ( ~c_Finite__Set_Ofolding(_u14836, _u14837, _u14838, _u14839) | ( hAPP(_u14839, c_Orderings_Obot__class_Obot(tc_fun(_u14836, tc_HOL_Obool))) = c_Fun_Oid(_u14837)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_apfst__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_apfst__def-1, axiom, ( ( c_Product__Type_Oapfst(_u14840, _u14841, _u14842, _u14843) = c_Product__Type_Omap__pair(_u14840, _u14841, _u14842, _u14842, _u14843, c_Fun_Oid(_u14842))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_apsnd__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_apsnd__def-1, axiom, ( ( c_Product__Type_Oapsnd(_u14844, _u14845, _u14846, _u14847) = c_Product__Type_Omap__pair(_u14846, _u14846, _u14844, _u14845, c_Fun_Oid(_u14846), _u14847)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_split__Pair ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_split__Pair-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u14848, _u14849, tc_prod(_u14848, _u14849)), c_Product__Type_OPair(_u14848, _u14849)) = c_Fun_Oid(tc_prod(_u14848, _u14849))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum__reindex__id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14850) | ~c_Fun_Oinj__on(_u14851, _u14850, _u14852, _u14853) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14851, _u14850), _u14852), _u14853) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14850, _u14850), c_Fun_Oid(_u14850)), hAPP(c_Set_Oimage(_u14851, _u14850, _u14852), _u14853))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setprod__reindex__id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setprod__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14854) | ~c_Fun_Oinj__on(_u14855, _u14854, _u14856, _u14857) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14855, _u14854), _u14856), _u14857) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14854, _u14854), c_Fun_Oid(_u14854)), hAPP(c_Set_Oimage(_u14855, _u14854, _u14856), _u14857))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__conv__nat__seg__image ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__conv__nat__seg__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14864), _u14866)) | ( _u14866 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u14864, skolem328(_u14866, _u14864)), 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)), skolem327(_u14866, _u14864))))) )).
% 27.68/27.90 cnf(fact_finite__conv__nat__seg__image-2, axiom, ( ( _u14867 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u14865, _u14860), 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)), _u14861)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14865), _u14867)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__comp__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__comp__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14868, _u14869, _u14870), _u14871), _u14872) = hAPP(c_Set_OCollect(tc_prod(_u14868, _u14870)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14868, _u14870, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14870, tc_fun(_u14869, tc_HOL_Obool)), tc_fun(_u14870, tc_HOL_Obool), _u14868), hAPP(c_COMBB(tc_fun(_u14869, tc_HOL_Obool), tc_HOL_Obool, _u14870), c_HOL_OEx(_u14869))), hAPP(hAPP(c_COMBC(_u14868, tc_fun(_u14870, tc_fun(_u14869, tc_HOL_Obool)), tc_fun(_u14870, tc_fun(_u14869, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14869, tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool)), tc_fun(tc_fun(_u14870, tc_fun(_u14869, tc_HOL_Obool)), tc_fun(_u14870, tc_fun(_u14869, tc_HOL_Obool))), _u14868), c_COMBB(tc_fun(_u14869, tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool), _u14870)), hAPP(hAPP(c_COMBB(tc_fun(_u14869, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14869, tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool)), _u14868), c_COMBS(_u14869, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14869, tc_HOL_Obool), tc_fun(_u14869, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14868), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14869), c_fconj)), hAPP(hAPP(c_COMBC(_u14868, tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14869, tc_fun(tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool)), _u14868), c_COMBC(_u14869, tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14869, tc_prod(_u14868, _u14869)), tc_fun(_u14869, tc_fun(tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool), tc_HOL_Obool)), _u14868), hAPP(c_COMBB(tc_prod(_u14868, _u14869), tc_fun(tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool), tc_HOL_Obool), _u14869), c_member(tc_prod(_u14868, _u14869)))), c_Product__Type_OPair(_u14868, _u14869)))), _u14871))))), hAPP(hAPP(c_COMBC(_u14870, tc_fun(tc_prod(_u14869, _u14870), tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14869, tc_fun(tc_fun(tc_prod(_u14869, _u14870), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14869, _u14870), tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool)), _u14870), c_COMBC(_u14869, tc_fun(tc_prod(_u14869, _u14870), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14869, tc_prod(_u14869, _u14870)), tc_fun(_u14869, tc_fun(tc_fun(tc_prod(_u14869, _u14870), tc_HOL_Obool), tc_HOL_Obool)), _u14870), hAPP(c_COMBB(tc_prod(_u14869, _u14870), tc_fun(tc_fun(tc_prod(_u14869, _u14870), tc_HOL_Obool), tc_HOL_Obool), _u14869), c_member(tc_prod(_u14869, _u14870)))), hAPP(c_COMBC(_u14869, _u14870, tc_prod(_u14869, _u14870)), c_Product__Type_OPair(_u14869, _u14870))))), _u14872)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__compI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__compI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14873, _u14874)), hAPP(hAPP(c_Product__Type_OPair(_u14873, _u14874), _u14875), _u14876)), _u14877)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14874, _u14878)), hAPP(hAPP(c_Product__Type_OPair(_u14874, _u14878), _u14876), _u14879)), _u14880)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14873, _u14878)), hAPP(hAPP(c_Product__Type_OPair(_u14873, _u14878), _u14875), _u14879)), hAPP(hAPP(c_Relation_Orel__comp(_u14873, _u14874, _u14878), _u14877), _u14880))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_O__assoc ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_O__assoc-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14881, _u14882, _u14883), hAPP(hAPP(c_Relation_Orel__comp(_u14881, _u14884, _u14882), _u14885), _u14886)), _u14887) = hAPP(hAPP(c_Relation_Orel__comp(_u14881, _u14884, _u14883), _u14885), hAPP(hAPP(c_Relation_Orel__comp(_u14884, _u14882, _u14883), _u14886), _u14887))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__comp__mono ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__comp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14888, _u14889), tc_HOL_Obool)), _u14890), _u14891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14889, _u14892), tc_HOL_Obool)), _u14893), _u14894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14888, _u14892), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14888, _u14889, _u14892), _u14890), _u14893)), hAPP(hAPP(c_Relation_Orel__comp(_u14888, _u14889, _u14892), _u14891), _u14894))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__comp__distrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__comp__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14895, _u14896, _u14897), _u14898), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14896, _u14897), tc_HOL_Obool)), _u14899), _u14900)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14895, _u14897), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14895, _u14896, _u14897), _u14898), _u14899)), hAPP(hAPP(c_Relation_Orel__comp(_u14895, _u14896, _u14897), _u14898), _u14900))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__comp__distrib2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__comp__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14901, _u14902, _u14903), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14901, _u14902), tc_HOL_Obool)), _u14904), _u14905)), _u14906) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14901, _u14903), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14901, _u14902, _u14903), _u14904), _u14906)), hAPP(hAPP(c_Relation_Orel__comp(_u14901, _u14902, _u14903), _u14905), _u14906))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__comp__empty1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__comp__empty1-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14907, _u14908, _u14909), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14907, _u14908), tc_HOL_Obool))), _u14910) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14907, _u14909), tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__comp__empty2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__comp__empty2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14911, _u14912, _u14913), _u14914), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14912, _u14913), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__comp__UNION__distrib ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__comp__UNION__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14915, _u14916, _u14917), _u14918), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14919, tc_fun(tc_prod(_u14916, _u14917), tc_HOL_Obool)), _u14920), _u14921)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14919, tc_fun(tc_prod(_u14915, _u14917), tc_HOL_Obool)), _u14920), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14916, _u14917), tc_HOL_Obool), tc_fun(tc_prod(_u14915, _u14917), tc_HOL_Obool), _u14919), hAPP(c_Relation_Orel__comp(_u14915, _u14916, _u14917), _u14918)), _u14921))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__comp__UNION__distrib2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__comp__UNION__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14922, _u14923, _u14924), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14925, tc_fun(tc_prod(_u14922, _u14923), tc_HOL_Obool)), _u14926), _u14927)), _u14928) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14925, tc_fun(tc_prod(_u14922, _u14924), tc_HOL_Obool)), _u14926), hAPP(hAPP(c_COMBC(_u14925, tc_fun(tc_prod(_u14923, _u14924), tc_HOL_Obool), tc_fun(tc_prod(_u14922, _u14924), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14922, _u14923), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u14923, _u14924), tc_HOL_Obool), tc_fun(tc_prod(_u14922, _u14924), tc_HOL_Obool)), _u14925), c_Relation_Orel__comp(_u14922, _u14923, _u14924)), _u14927)), _u14928))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_union__comp__emptyR ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_union__comp__emptyR-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14929, _u14929, _u14929), _u14930), _u14931) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14929, _u14929), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14929, _u14929, _u14929), _u14930), _u14932) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14929, _u14929), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14929, _u14929, _u14929), _u14930), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14929, _u14929), tc_HOL_Obool)), _u14931), _u14932)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14929, _u14929), tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_union__comp__emptyL ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_union__comp__emptyL-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14933, _u14933, _u14933), _u14934), _u14935) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14933, _u14933), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14933, _u14933, _u14933), _u14936), _u14935) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14933, _u14933), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14933, _u14933, _u14933), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14933, _u14933), tc_HOL_Obool)), _u14934), _u14936)), _u14935) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14933, _u14933), tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__comp__subset__Sigma ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__comp__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14937, _u14938), tc_HOL_Obool)), _u14939), hAPP(hAPP(c_Product__Type_OSigma(_u14937, _u14938), _u14940), hAPP(c_COMBK(tc_fun(_u14938, tc_HOL_Obool), _u14937), _u14941)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14938, _u14942), tc_HOL_Obool)), _u14943), hAPP(hAPP(c_Product__Type_OSigma(_u14938, _u14942), _u14941), hAPP(c_COMBK(tc_fun(_u14942, tc_HOL_Obool), _u14938), _u14944)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14937, _u14942), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14937, _u14938, _u14942), _u14939), _u14943)), hAPP(hAPP(c_Product__Type_OSigma(_u14937, _u14942), _u14940), hAPP(c_COMBK(tc_fun(_u14942, tc_HOL_Obool), _u14937), _u14944)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_max__ext__compat ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_max__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14945, _u14945), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14945, _u14945, _u14945), _u14946), _u14947)), _u14946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u14945, _u14946)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u14945, _u14947)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14945, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u14945, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u14945, _u14946))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_min__ext__compat ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_min__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14948, _u14948), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14948, _u14948, _u14948), _u14949), _u14950)), _u14949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u14948, _u14949)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u14948, _u14950)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14948, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u14948, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u14948, _u14949))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_pred__comp__rel__comp__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_pred__comp__rel__comp__eq-1, axiom, ( ~c_Predicate_Opred__comp(_u14958, _u14960, _u14962, hAPP(hAPP(c_COMBC(_u14958, tc_fun(tc_prod(_u14958, _u14960), tc_HOL_Obool), tc_fun(_u14960, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14960, tc_fun(tc_fun(tc_prod(_u14958, _u14960), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14958, _u14960), tc_HOL_Obool), tc_fun(_u14960, tc_HOL_Obool)), _u14958), c_COMBC(_u14960, tc_fun(tc_prod(_u14958, _u14960), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14960, tc_prod(_u14958, _u14960)), tc_fun(_u14960, tc_fun(tc_fun(tc_prod(_u14958, _u14960), tc_HOL_Obool), tc_HOL_Obool)), _u14958), hAPP(c_COMBB(tc_prod(_u14958, _u14960), tc_fun(tc_fun(tc_prod(_u14958, _u14960), tc_HOL_Obool), tc_HOL_Obool), _u14960), c_member(tc_prod(_u14958, _u14960)))), c_Product__Type_OPair(_u14958, _u14960)))), _u14964), hAPP(hAPP(c_COMBC(_u14960, tc_fun(tc_prod(_u14960, _u14962), tc_HOL_Obool), tc_fun(_u14962, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14962, tc_fun(tc_fun(tc_prod(_u14960, _u14962), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14960, _u14962), tc_HOL_Obool), tc_fun(_u14962, tc_HOL_Obool)), _u14960), c_COMBC(_u14962, tc_fun(tc_prod(_u14960, _u14962), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14962, tc_prod(_u14960, _u14962)), tc_fun(_u14962, tc_fun(tc_fun(tc_prod(_u14960, _u14962), tc_HOL_Obool), tc_HOL_Obool)), _u14960), hAPP(c_COMBB(tc_prod(_u14960, _u14962), tc_fun(tc_fun(tc_prod(_u14960, _u14962), tc_HOL_Obool), tc_HOL_Obool), _u14962), c_member(tc_prod(_u14960, _u14962)))), c_Product__Type_OPair(_u14960, _u14962)))), _u14966), _u14968, _u14970) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14958, _u14962)), hAPP(hAPP(c_Product__Type_OPair(_u14958, _u14962), _u14968), _u14970)), hAPP(hAPP(c_Relation_Orel__comp(_u14958, _u14960, _u14962), _u14964), _u14966))) )).
% 27.68/27.90 cnf(fact_pred__comp__rel__comp__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14959, _u14963)), hAPP(hAPP(c_Product__Type_OPair(_u14959, _u14963), _u14969), _u14971)), hAPP(hAPP(c_Relation_Orel__comp(_u14959, _u14961, _u14963), _u14965), _u14967))) | c_Predicate_Opred__comp(_u14959, _u14961, _u14963, hAPP(hAPP(c_COMBC(_u14959, tc_fun(tc_prod(_u14959, _u14961), tc_HOL_Obool), tc_fun(_u14961, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14961, tc_fun(tc_fun(tc_prod(_u14959, _u14961), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14959, _u14961), tc_HOL_Obool), tc_fun(_u14961, tc_HOL_Obool)), _u14959), c_COMBC(_u14961, tc_fun(tc_prod(_u14959, _u14961), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14961, tc_prod(_u14959, _u14961)), tc_fun(_u14961, tc_fun(tc_fun(tc_prod(_u14959, _u14961), tc_HOL_Obool), tc_HOL_Obool)), _u14959), hAPP(c_COMBB(tc_prod(_u14959, _u14961), tc_fun(tc_fun(tc_prod(_u14959, _u14961), tc_HOL_Obool), tc_HOL_Obool), _u14961), c_member(tc_prod(_u14959, _u14961)))), c_Product__Type_OPair(_u14959, _u14961)))), _u14965), hAPP(hAPP(c_COMBC(_u14961, tc_fun(tc_prod(_u14961, _u14963), tc_HOL_Obool), tc_fun(_u14963, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14963, tc_fun(tc_fun(tc_prod(_u14961, _u14963), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14961, _u14963), tc_HOL_Obool), tc_fun(_u14963, tc_HOL_Obool)), _u14961), c_COMBC(_u14963, tc_fun(tc_prod(_u14961, _u14963), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14963, tc_prod(_u14961, _u14963)), tc_fun(_u14963, tc_fun(tc_fun(tc_prod(_u14961, _u14963), tc_HOL_Obool), tc_HOL_Obool)), _u14961), hAPP(c_COMBB(tc_prod(_u14961, _u14963), tc_fun(tc_fun(tc_prod(_u14961, _u14963), tc_HOL_Obool), tc_HOL_Obool), _u14963), c_member(tc_prod(_u14961, _u14963)))), c_Product__Type_OPair(_u14961, _u14963)))), _u14967), _u14969, _u14971) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_reduction__pairI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_reduction__pairI-1, axiom, ( ~c_Wellfounded_Owf(_u14972, _u14973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14972, _u14972), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14972, _u14972, _u14972), _u14973), _u14974)), _u14973)) | c_FunDef_Oreduction__pair(_u14972, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u14972, _u14972), tc_HOL_Obool), tc_fun(tc_prod(_u14972, _u14972), tc_HOL_Obool)), _u14973), _u14974)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__less__than ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_pred__comp_Ointros ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_pred__comp_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u14975, _u14976), _u14977)) | ~hBOOL(hAPP(hAPP(_u14978, _u14977), _u14979)) | c_Predicate_Opred__comp(_u14980, _u14981, _u14982, _u14975, _u14978, _u14976, _u14979) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__empty-1, axiom, ( c_Wellfounded_Owf(_u14983, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14983, _u14983), tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__inv__image ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__inv__image-1, axiom, ( ~c_Wellfounded_Owf(_u14984, _u14985) | c_Wellfounded_Owf(_u14986, hAPP(hAPP(c_Relation_Oinv__image(_u14984, _u14986), _u14985), _u14987)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__lex__prod ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__lex__prod-1, axiom, ( ~c_Wellfounded_Owf(_u14988, _u14989) | ~c_Wellfounded_Owf(_u14990, _u14991) | c_Wellfounded_Owf(tc_prod(_u14988, _u14990), c_Wellfounded_Olex__prod(_u14988, _u14990, _u14989, _u14991)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__measure ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__measure-1, axiom, ( c_Wellfounded_Owf(_u14992, hAPP(c_Wellfounded_Omeasure(_u14992), _u14993)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__comp__self ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__comp__self-1, axiom, ( ~c_Wellfounded_Owf(_u14996, _u14998) | c_Wellfounded_Owf(_u14996, hAPP(hAPP(c_Relation_Orel__comp(_u14996, _u14996, _u14996), _u14998), _u14998)) )).
% 27.68/27.90 cnf(fact_wf__comp__self-2, axiom, ( ~c_Wellfounded_Owf(_u14997, hAPP(hAPP(c_Relation_Orel__comp(_u14997, _u14997, _u14997), _u14999), _u14999)) | c_Wellfounded_Owf(_u14997, _u14999) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__no__loop ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__no__loop-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15000, _u15000, _u15000), _u15001), _u15001) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15000, _u15000), tc_HOL_Obool))) | c_Wellfounded_Owf(_u15000, _u15001) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__union__merge ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__union__merge-1, axiom, ( ~c_Wellfounded_Owf(_u15005, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15005, _u15005), tc_HOL_Obool)), _u15007), _u15009)) | c_Wellfounded_Owf(_u15005, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15005, _u15005), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15005, _u15005), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15005, _u15005, _u15005), _u15007), _u15007)), hAPP(hAPP(c_Relation_Orel__comp(_u15005, _u15005, _u15005), _u15009), _u15007))), _u15009)) )).
% 27.68/27.90 cnf(fact_wf__union__merge-2, axiom, ( ~c_Wellfounded_Owf(_u15006, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15006, _u15006), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15006, _u15006), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15006, _u15006, _u15006), _u15008), _u15008)), hAPP(hAPP(c_Relation_Orel__comp(_u15006, _u15006, _u15006), _u15010), _u15008))), _u15010)) | c_Wellfounded_Owf(_u15006, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15006, _u15006), tc_HOL_Obool)), _u15008), _u15010)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__less ( axiom ) converted to clauses:
% 27.68/27.90 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)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__int__ge__less__than ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__int__ge__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u15011)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_acc__wfD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_acc__wfD-1, axiom, ( ~c_Wellfounded_Owf(_u15012, _u15013) | hBOOL(hAPP(hAPP(c_member(_u15012), _u15014), c_Wellfounded_Oacc(_u15012, _u15013))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__acc__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__acc__iff-1, axiom, ( ~c_Wellfounded_Owf(_u15019, _u15021) | hBOOL(hAPP(hAPP(c_member(_u15019), _u15015), c_Wellfounded_Oacc(_u15019, _u15021))) )).
% 27.68/27.90 cnf(fact_wf__acc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15020), skolem329(_u15022, _u15020)), c_Wellfounded_Oacc(_u15020, _u15022))) | c_Wellfounded_Owf(_u15020, _u15022) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__irrefl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__irrefl-1, axiom, ( ~c_Wellfounded_Owf(_u15023, _u15024) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15023, _u15023)), hAPP(hAPP(c_Product__Type_OPair(_u15023, _u15023), _u15025), _u15025)), _u15024)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__asym ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__asym-1, axiom, ( ~c_Wellfounded_Owf(_u15026, _u15027) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15026, _u15026)), hAPP(hAPP(c_Product__Type_OPair(_u15026, _u15026), _u15028), _u15029)), _u15027)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15026, _u15026)), hAPP(hAPP(c_Product__Type_OPair(_u15026, _u15026), _u15029), _u15028)), _u15027)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__not__sym ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__not__sym-1, axiom, ( ~c_Wellfounded_Owf(_u15030, _u15031) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15030, _u15030)), hAPP(hAPP(c_Product__Type_OPair(_u15030, _u15030), _u15032), _u15033)), _u15031)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15030, _u15030)), hAPP(hAPP(c_Product__Type_OPair(_u15030, _u15030), _u15033), _u15032)), _u15031)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__not__refl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__not__refl-1, axiom, ( ~c_Wellfounded_Owf(_u15034, _u15035) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15034, _u15034)), hAPP(hAPP(c_Product__Type_OPair(_u15034, _u15034), _u15036), _u15036)), _u15035)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__subset-1, axiom, ( ~c_Wellfounded_Owf(_u15037, _u15038) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15037, _u15037), tc_HOL_Obool)), _u15039), _u15038)) | c_Wellfounded_Owf(_u15037, _u15039) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_min__ext__wf ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_min__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u15040, _u15041) | c_Wellfounded_Owf(tc_fun(_u15040, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u15040, _u15041)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__finite__psubset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__finite__psubset-1, axiom, ( c_Wellfounded_Owf(tc_fun(_u15042, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u15042)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_pred__comp_Oequations ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_pred__comp_Oequations-1, axiom, ( ~c_Predicate_Opred__comp(_u15052, _u15054, _u15056, _u15058, _u15060, _u15062, _u15064) | hBOOL(hAPP(hAPP(_u15058, _u15062), skolem330(_u15064, _u15062, _u15060, _u15058))) )).
% 27.68/27.90 cnf(fact_pred__comp_Oequations-2, axiom, ( ~c_Predicate_Opred__comp(_u15052, _u15054, _u15056, _u15058, _u15060, _u15062, _u15064) | hBOOL(hAPP(hAPP(_u15060, skolem330(_u15064, _u15062, _u15060, _u15058)), _u15064)) )).
% 27.68/27.90 cnf(fact_pred__comp_Oequations-3, axiom, ( ~hBOOL(hAPP(hAPP(_u15059, _u15063), _u15044)) | ~hBOOL(hAPP(hAPP(_u15061, _u15044), _u15065)) | c_Predicate_Opred__comp(_u15053, _u15055, _u15057, _u15059, _u15061, _u15063, _u15065) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__pair__less ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__pair__less-1, axiom, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__mlex ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__mlex-1, axiom, ( ~c_Wellfounded_Owf(_u15066, _u15067) | c_Wellfounded_Owf(_u15066, c_Wellfounded_Omlex__prod(_u15066, _u15068, _u15067)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_max__ext__wf ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_max__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u15069, _u15070) | c_Wellfounded_Owf(tc_fun(_u15069, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u15069, _u15070)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__Int1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__Int1-1, axiom, ( ~c_Wellfounded_Owf(_u15071, _u15072) | c_Wellfounded_Owf(_u15071, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15071, _u15071), tc_HOL_Obool)), _u15072), _u15073)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__Int2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__Int2-1, axiom, ( ~c_Wellfounded_Owf(_u15074, _u15075) | c_Wellfounded_Owf(_u15074, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15074, _u15074), tc_HOL_Obool)), _u15076), _u15075)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__int__ge__less__than2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__int__ge__less__than2-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u15077)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__iff__no__infinite__down__chain ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__iff__no__infinite__down__chain-1, axiom, ( ~c_Wellfounded_Owf(_u15084, _u15086) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15084, _u15084)), hAPP(hAPP(c_Product__Type_OPair(_u15084, _u15084), hAPP(_u15079, hAPP(c_Nat_OSuc, skolem331(_u15086, _u15084, _u15079)))), hAPP(_u15079, skolem331(_u15086, _u15084, _u15079)))), _u15086)) )).
% 27.68/27.90 cnf(fact_wf__iff__no__infinite__down__chain-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15085, _u15085)), hAPP(hAPP(c_Product__Type_OPair(_u15085, _u15085), hAPP(skolem332(_u15087, _u15085), hAPP(c_Nat_OSuc, _u15080))), hAPP(skolem332(_u15087, _u15085), _u15080))), _u15087)) | c_Wellfounded_Owf(_u15085, _u15087) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wfE__pf ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wfE__pf-1, axiom, ( ~c_Wellfounded_Owf(_u15088, _u15089) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15088, tc_HOL_Obool)), _u15090), hAPP(c_Relation_OImage(_u15088, _u15088, _u15089), _u15090))) | ( _u15090 = c_Orderings_Obot__class_Obot(tc_fun(_u15088, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__union__compatible ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__union__compatible-1, axiom, ( ~c_Wellfounded_Owf(_u15091, _u15092) | ~c_Wellfounded_Owf(_u15091, _u15093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15091, _u15091), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15091, _u15091, _u15091), _u15092), _u15093)), _u15092)) | c_Wellfounded_Owf(_u15091, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15091, _u15091), tc_HOL_Obool)), _u15092), _u15093)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf-1, axiom, ( ~class_Orderings_Owellorder(_u15094) | c_Wellfounded_Owf(_u15094, hAPP(c_Set_OCollect(tc_prod(_u15094, _u15094)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15094, _u15094, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u15094)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_reduction__pair__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_reduction__pair__def-1, axiom, ( ~c_FunDef_Oreduction__pair(_u15097, _u15099) | c_Wellfounded_Owf(_u15097, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool), tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool)), _u15099)) )).
% 27.68/27.90 cnf(fact_reduction__pair__def-2, axiom, ( ~c_FunDef_Oreduction__pair(_u15097, _u15099) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15097, _u15097, _u15097), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool), tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool)), _u15099)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool), tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool)), _u15099))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool), tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool)), _u15099))) )).
% 27.68/27.90 cnf(fact_reduction__pair__def-3, axiom, ( ~c_Wellfounded_Owf(_u15098, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool), tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool)), _u15100)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15098, _u15098, _u15098), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool), tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool)), _u15100)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool), tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool)), _u15100))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool), tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool)), _u15100))) | c_FunDef_Oreduction__pair(_u15098, _u15100) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_reduction__pair__lemma ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_reduction__pair__lemma-1, axiom, ( ~c_FunDef_Oreduction__pair(_u15101, _u15102) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool)), _u15103), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool), tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool)), _u15102))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool)), _u15104), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool), tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool)), _u15102))) | ~c_Wellfounded_Owf(_u15101, _u15104) | c_Wellfounded_Owf(_u15101, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool)), _u15103), _u15104)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__map__pair__image ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__map__pair__image-1, axiom, ( ~c_Wellfounded_Owf(_u15105, _u15106) | ~c_Fun_Oinj__on(_u15105, _u15107, _u15108, c_Orderings_Otop__class_Otop(tc_fun(_u15105, tc_HOL_Obool))) | c_Wellfounded_Owf(_u15107, hAPP(c_Set_Oimage(tc_prod(_u15105, _u15105), tc_prod(_u15107, _u15107), c_Product__Type_Omap__pair(_u15105, _u15107, _u15105, _u15107, _u15108, _u15108)), _u15106)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__lenlex ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__lenlex-1, axiom, ( ~c_Wellfounded_Owf(_u15109, _u15110) | c_Wellfounded_Owf(tc_List_Olist(_u15109), c_List_Olenlex(_u15109, _u15110)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__if__measure ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__if__measure-1, axiom, ( c_Wellfounded_Owf(_u15115, hAPP(c_Set_OCollect(tc_prod(_u15115, _u15115)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15115, _u15115, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15115, tc_HOL_Obool), tc_fun(_u15115, tc_HOL_Obool), _u15115), hAPP(c_COMBS(_u15115, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15115), c_fconj), _u15112))), hAPP(hAPP(c_COMBC(_u15115, tc_fun(_u15115, _u15115), tc_fun(_u15115, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15115, tc_HOL_Obool), tc_fun(tc_fun(_u15115, _u15115), tc_fun(_u15115, tc_HOL_Obool)), _u15115), c_COMBB(_u15115, tc_HOL_Obool, _u15115)), c_fequal)), _u15114))))) | hBOOL(hAPP(_u15112, skolem333(_u15115, _u15114, _u15113, _u15112))) )).
% 27.68/27.90 cnf(fact_wf__if__measure-2, axiom, ( c_Wellfounded_Owf(_u15115, hAPP(c_Set_OCollect(tc_prod(_u15115, _u15115)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15115, _u15115, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15115, tc_HOL_Obool), tc_fun(_u15115, tc_HOL_Obool), _u15115), hAPP(c_COMBS(_u15115, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15115), c_fconj), _u15112))), hAPP(hAPP(c_COMBC(_u15115, tc_fun(_u15115, _u15115), tc_fun(_u15115, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15115, tc_HOL_Obool), tc_fun(tc_fun(_u15115, _u15115), tc_fun(_u15115, tc_HOL_Obool)), _u15115), c_COMBB(_u15115, tc_HOL_Obool, _u15115)), c_fequal)), _u15114))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15113, hAPP(_u15114, skolem333(_u15115, _u15114, _u15113, _u15112)))), hAPP(_u15113, skolem333(_u15115, _u15114, _u15113, _u15112)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_pred__nat__def ( axiom ) converted to clauses:
% 27.68/27.90 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)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__lex ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__lex-1, axiom, ( ~c_Wellfounded_Owf(_u15116, _u15117) | c_Wellfounded_Owf(tc_List_Olist(_u15116), c_List_Olex(_u15116, _u15117)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__pred__nat ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__pred__nat-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_lex__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_lex__def-1, axiom, ( ( c_List_Olex(_u15118, _u15119) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u15118), tc_List_Olist(_u15118)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u15118, _u15119))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__lexn ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__lexn-1, axiom, ( ~c_Wellfounded_Owf(_u15120, _u15121) | c_Wellfounded_Owf(tc_List_Olist(_u15120), hAPP(c_List_Olexn(_u15120, _u15121), _u15122)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_lexn_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_lexn_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Olexn(_u15123, _u15124), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u15123), tc_List_Olist(_u15123)), tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__same__fst ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__same__fst-1, axiom, ( c_Wellfounded_Owf(tc_prod(_u15129, _u15127), c_Recdef_Osame__fst(_u15129, _u15127, _u15126, _u15128)) | hBOOL(hAPP(_u15126, skolem334(_u15129, _u15128, _u15127, _u15126))) )).
% 27.68/27.90 cnf(fact_wf__same__fst-2, axiom, ( c_Wellfounded_Owf(tc_prod(_u15129, _u15127), c_Recdef_Osame__fst(_u15129, _u15127, _u15126, _u15128)) | ~c_Wellfounded_Owf(_u15127, hAPP(_u15128, skolem334(_u15129, _u15128, _u15127, _u15126))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Range__Collect__split ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Range__Collect__split-1, axiom, ( ( hAPP(c_Relation_ORange(_u15130, _u15131), hAPP(c_Set_OCollect(tc_prod(_u15130, _u15131)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15130, _u15131, tc_HOL_Obool), _u15132))) = hAPP(c_Set_OCollect(_u15131), hAPP(hAPP(c_COMBB(tc_fun(_u15130, tc_HOL_Obool), tc_HOL_Obool, _u15131), c_HOL_OEx(_u15130)), hAPP(c_COMBC(_u15130, _u15131, tc_HOL_Obool), _u15132)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15133, _u15134)), hAPP(hAPP(c_Product__Type_OPair(_u15133, _u15134), _u15135), _u15136)), _u15137)) | hBOOL(hAPP(hAPP(c_member(_u15134), _u15136), hAPP(c_Relation_ORange(_u15133, _u15134), _u15137))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Range__Id__on-1, axiom, ( ( hAPP(c_Relation_ORange(_u15138, _u15138), c_Relation_OId__on(_u15138, _u15139)) = _u15139) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Range__empty__iff-1, axiom, ( ( hAPP(c_Relation_ORange(_u15143, _u15145), _u15147) != c_Orderings_Obot__class_Obot(tc_fun(_u15145, tc_HOL_Obool))) | ( _u15147 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15143, _u15145), tc_HOL_Obool))) )).
% 27.68/27.90 cnf(fact_Range__empty__iff-2, axiom, ( ( _u15148 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15144, _u15146), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u15144, _u15146), _u15148) = c_Orderings_Obot__class_Obot(tc_fun(_u15146, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Range__empty-1, axiom, ( ( hAPP(c_Relation_ORange(_u15149, _u15150), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15149, _u15150), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15150, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Range__Un__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Range__Un__eq-1, axiom, ( ( hAPP(c_Relation_ORange(_u15151, _u15152), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15151, _u15152), tc_HOL_Obool)), _u15153), _u15154)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15152, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15151, _u15152), _u15153)), hAPP(c_Relation_ORange(_u15151, _u15152), _u15154))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__Range ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__Range-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15155, _u15156)), _u15157)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15156), hAPP(c_Relation_ORange(_u15155, _u15156), _u15157))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_snd__eq__Range ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_snd__eq__Range-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u15158, _u15159), _u15159, c_Product__Type_Osnd(_u15158, _u15159)), _u15160) = hAPP(c_Relation_ORange(_u15158, _u15159), _u15160)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15167), _u15169), hAPP(c_Relation_ORange(_u15171, _u15167), _u15173))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15171, _u15167)), hAPP(hAPP(c_Product__Type_OPair(_u15171, _u15167), skolem335(_u15173, _u15171, _u15169, _u15167)), _u15169)), _u15173)) )).
% 27.68/27.90 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15172, _u15168)), hAPP(hAPP(c_Product__Type_OPair(_u15172, _u15168), _u15162), _u15170)), _u15174)) | hBOOL(hAPP(hAPP(c_member(_u15168), _u15170), hAPP(c_Relation_ORange(_u15172, _u15168), _u15174))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Range__insert-1, axiom, ( ( hAPP(c_Relation_ORange(_u15175, _u15176), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15175, _u15176)), hAPP(hAPP(c_Product__Type_OPair(_u15175, _u15176), _u15177), _u15178)), _u15179)) = hAPP(hAPP(c_Set_Oinsert(_u15176), _u15178), hAPP(c_Relation_ORange(_u15175, _u15176), _u15179))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Range__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15180, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15181, _u15180), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15181, _u15180), tc_HOL_Obool)), _u15182), _u15183))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15180, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15181, _u15180), _u15182)), hAPP(c_Relation_ORange(_u15181, _u15180), _u15183)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Range__Diff__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Range__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15184, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15184, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15185, _u15184), _u15186)), hAPP(c_Relation_ORange(_u15185, _u15184), _u15187))), hAPP(c_Relation_ORange(_u15185, _u15184), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15185, _u15184), tc_HOL_Obool)), _u15186), _u15187)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_RangeP__Range__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u15192, _u15194, hAPP(hAPP(c_COMBC(_u15192, tc_fun(tc_prod(_u15192, _u15194), tc_HOL_Obool), tc_fun(_u15194, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15194, tc_fun(tc_fun(tc_prod(_u15192, _u15194), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15192, _u15194), tc_HOL_Obool), tc_fun(_u15194, tc_HOL_Obool)), _u15192), c_COMBC(_u15194, tc_fun(tc_prod(_u15192, _u15194), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15194, tc_prod(_u15192, _u15194)), tc_fun(_u15194, tc_fun(tc_fun(tc_prod(_u15192, _u15194), tc_HOL_Obool), tc_HOL_Obool)), _u15192), hAPP(c_COMBB(tc_prod(_u15192, _u15194), tc_fun(tc_fun(tc_prod(_u15192, _u15194), tc_HOL_Obool), tc_HOL_Obool), _u15194), c_member(tc_prod(_u15192, _u15194)))), c_Product__Type_OPair(_u15192, _u15194)))), _u15196)), _u15198)) | hBOOL(hAPP(hAPP(c_member(_u15194), _u15198), hAPP(c_Relation_ORange(_u15192, _u15194), _u15196))) )).
% 27.68/27.90 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15195), _u15199), hAPP(c_Relation_ORange(_u15193, _u15195), _u15197))) | hBOOL(hAPP(c_Predicate_ORangeP(_u15193, _u15195, hAPP(hAPP(c_COMBC(_u15193, tc_fun(tc_prod(_u15193, _u15195), tc_HOL_Obool), tc_fun(_u15195, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15195, tc_fun(tc_fun(tc_prod(_u15193, _u15195), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15193, _u15195), tc_HOL_Obool), tc_fun(_u15195, tc_HOL_Obool)), _u15193), c_COMBC(_u15195, tc_fun(tc_prod(_u15193, _u15195), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15195, tc_prod(_u15193, _u15195)), tc_fun(_u15195, tc_fun(tc_fun(tc_prod(_u15193, _u15195), tc_HOL_Obool), tc_HOL_Obool)), _u15193), hAPP(c_COMBB(tc_prod(_u15193, _u15195), tc_fun(tc_fun(tc_prod(_u15193, _u15195), tc_HOL_Obool), tc_HOL_Obool), _u15195), c_member(tc_prod(_u15193, _u15195)))), c_Product__Type_OPair(_u15193, _u15195)))), _u15197)), _u15199)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15201), _u15202), hAPP(c_Relation_ORange(_u15203, _u15201), _u15204))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15203, _u15201)), hAPP(hAPP(c_Product__Type_OPair(_u15203, _u15201), skolem336(_u15204, _u15203, _u15202, _u15201)), _u15202)), _u15204)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u15205, _u15206), _u15207)) | hBOOL(hAPP(c_Predicate_ORangeP(_u15208, _u15209, _u15205), _u15207)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u15220, skolem337(_u15222, _u15220)), _u15222)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u15216, _u15218, _u15220), _u15222)) )).
% 27.68/27.90 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u15221, _u15211), _u15223)) | hBOOL(hAPP(c_Predicate_ORangeP(_u15217, _u15219, _u15221), _u15223)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__Un ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__Un-1, axiom, ( ~c_Wellfounded_Owf(_u15224, _u15225) | ~c_Wellfounded_Owf(_u15224, _u15226) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15224, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15224, _u15224), _u15225)), hAPP(c_Relation_ORange(_u15224, _u15224), _u15226)) != c_Orderings_Obot__class_Obot(tc_fun(_u15224, tc_HOL_Obool))) | c_Wellfounded_Owf(_u15224, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15224, _u15224), tc_HOL_Obool)), _u15225), _u15226)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wfP__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wfP__def-1, axiom, ( ~c_Wellfounded_OwfP(_u15229, _u15231) | c_Wellfounded_Owf(_u15229, hAPP(c_Set_OCollect(tc_prod(_u15229, _u15229)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15229, _u15229, tc_HOL_Obool), _u15231))) )).
% 27.68/27.90 cnf(fact_wfP__def-2, axiom, ( ~c_Wellfounded_Owf(_u15230, hAPP(c_Set_OCollect(tc_prod(_u15230, _u15230)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15230, _u15230, tc_HOL_Obool), _u15232))) | c_Wellfounded_OwfP(_u15230, _u15232) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wfP__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wfP__empty-1, axiom, ( c_Wellfounded_OwfP(_u15233, hAPP(c_COMBK(tc_fun(_u15233, tc_HOL_Obool), _u15233), hAPP(c_COMBK(tc_HOL_Obool, _u15233), c_fFalse))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15234, _u15235)), hAPP(hAPP(c_Product__Type_OPair(_u15234, _u15235), _u15236), _u15237)), _u15238)) | hBOOL(hAPP(hAPP(c_member(_u15234), _u15236), hAPP(c_Relation_ODomain(_u15234, _u15235), _u15238))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wfP__accp__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wfP__accp__iff-1, axiom, ( ~c_Wellfounded_OwfP(_u15243, _u15245) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u15243, _u15245), _u15239)) )).
% 27.68/27.90 cnf(fact_wfP__accp__iff-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u15244, _u15246), skolem338(_u15246, _u15244))) | c_Wellfounded_OwfP(_u15244, _u15246) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_accp__wfPD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_accp__wfPD-1, axiom, ( ~c_Wellfounded_OwfP(_u15247, _u15248) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u15247, _u15248), _u15249)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Domain__Id__on-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15250, _u15250), c_Relation_OId__on(_u15250, _u15251)) = _u15251) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wfP__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wfP__subset-1, axiom, ( ~c_Wellfounded_OwfP(_u15252, _u15253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15252, tc_fun(_u15252, tc_HOL_Obool))), _u15254), _u15253)) | c_Wellfounded_OwfP(_u15252, _u15254) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Domain__empty__iff-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15258, _u15260), _u15262) != c_Orderings_Obot__class_Obot(tc_fun(_u15258, tc_HOL_Obool))) | ( _u15262 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15258, _u15260), tc_HOL_Obool))) )).
% 27.68/27.90 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u15263 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15259, _u15261), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u15259, _u15261), _u15263) = c_Orderings_Obot__class_Obot(tc_fun(_u15259, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Domain__empty-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15264, _u15265), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15264, _u15265), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15264, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Domain__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15266, _u15267), tc_HOL_Obool)), _u15268), _u15269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15266, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15266, _u15267), _u15268)), hAPP(c_Relation_ODomain(_u15266, _u15267), _u15269))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Domain__Un__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Domain__Un__eq-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15270, _u15271), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15270, _u15271), tc_HOL_Obool)), _u15272), _u15273)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15270, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15270, _u15271), _u15272)), hAPP(c_Relation_ODomain(_u15270, _u15271), _u15273))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__Domain ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__Domain-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15274, _u15275)), _u15276)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15274), hAPP(c_Relation_ODomain(_u15274, _u15275), _u15276))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fst__eq__Domain ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fst__eq__Domain-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u15277, _u15278), _u15277, c_Product__Type_Ofst(_u15277, _u15278)), _u15279) = hAPP(c_Relation_ODomain(_u15277, _u15278), _u15279)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15286), _u15288), hAPP(c_Relation_ODomain(_u15286, _u15290), _u15292))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15286, _u15290)), hAPP(hAPP(c_Product__Type_OPair(_u15286, _u15290), _u15288), skolem339(_u15292, _u15290, _u15288, _u15286))), _u15292)) )).
% 27.68/27.90 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15287, _u15291)), hAPP(hAPP(c_Product__Type_OPair(_u15287, _u15291), _u15289), _u15281)), _u15293)) | hBOOL(hAPP(hAPP(c_member(_u15287), _u15289), hAPP(c_Relation_ODomain(_u15287, _u15291), _u15293))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Domain__insert-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15294, _u15295), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15294, _u15295)), hAPP(hAPP(c_Product__Type_OPair(_u15294, _u15295), _u15296), _u15297)), _u15298)) = hAPP(hAPP(c_Set_Oinsert(_u15294), _u15296), hAPP(c_Relation_ODomain(_u15294, _u15295), _u15298))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Domain__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15299, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15299, _u15300), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15299, _u15300), tc_HOL_Obool)), _u15301), _u15302))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15299, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15299, _u15300), _u15301)), hAPP(c_Relation_ODomain(_u15299, _u15300), _u15302)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Domain__Diff__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Domain__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15303, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15303, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15303, _u15304), _u15305)), hAPP(c_Relation_ODomain(_u15303, _u15304), _u15306))), hAPP(c_Relation_ODomain(_u15303, _u15304), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15303, _u15304), tc_HOL_Obool)), _u15305), _u15306)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Field__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Field__def-1, axiom, ( ( hAPP(c_Relation_OField(_u15307), _u15308) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15307, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15307, _u15307), _u15308)), hAPP(c_Relation_ORange(_u15307, _u15307), _u15308))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__in__rel ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__in__rel-1, axiom, ( ~c_Wellfounded_Owf(_u15309, _u15310) | c_Wellfounded_OwfP(_u15309, c_FunDef_Oin__rel(_u15309, _u15309, _u15310)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wfP__wf__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wfP__wf__eq-1, axiom, ( ~c_Wellfounded_OwfP(_u15313, hAPP(hAPP(c_COMBC(_u15313, tc_fun(tc_prod(_u15313, _u15313), tc_HOL_Obool), tc_fun(_u15313, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15313, tc_fun(tc_fun(tc_prod(_u15313, _u15313), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15313, _u15313), tc_HOL_Obool), tc_fun(_u15313, tc_HOL_Obool)), _u15313), c_COMBC(_u15313, tc_fun(tc_prod(_u15313, _u15313), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15313, tc_prod(_u15313, _u15313)), tc_fun(_u15313, tc_fun(tc_fun(tc_prod(_u15313, _u15313), tc_HOL_Obool), tc_HOL_Obool)), _u15313), hAPP(c_COMBB(tc_prod(_u15313, _u15313), tc_fun(tc_fun(tc_prod(_u15313, _u15313), tc_HOL_Obool), tc_HOL_Obool), _u15313), c_member(tc_prod(_u15313, _u15313)))), c_Product__Type_OPair(_u15313, _u15313)))), _u15315)) | c_Wellfounded_Owf(_u15313, _u15315) )).
% 27.68/27.90 cnf(fact_wfP__wf__eq-2, axiom, ( ~c_Wellfounded_Owf(_u15314, _u15316) | c_Wellfounded_OwfP(_u15314, hAPP(hAPP(c_COMBC(_u15314, tc_fun(tc_prod(_u15314, _u15314), tc_HOL_Obool), tc_fun(_u15314, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15314, tc_fun(tc_fun(tc_prod(_u15314, _u15314), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15314, _u15314), tc_HOL_Obool), tc_fun(_u15314, tc_HOL_Obool)), _u15314), c_COMBC(_u15314, tc_fun(tc_prod(_u15314, _u15314), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15314, tc_prod(_u15314, _u15314)), tc_fun(_u15314, tc_fun(tc_fun(tc_prod(_u15314, _u15314), tc_HOL_Obool), tc_HOL_Obool)), _u15314), hAPP(c_COMBB(tc_prod(_u15314, _u15314), tc_fun(tc_fun(tc_prod(_u15314, _u15314), tc_HOL_Obool), tc_HOL_Obool), _u15314), c_member(tc_prod(_u15314, _u15314)))), c_Product__Type_OPair(_u15314, _u15314)))), _u15316)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Domain__Collect__split ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Domain__Collect__split-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15317, _u15318), hAPP(c_Set_OCollect(tc_prod(_u15317, _u15318)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15317, _u15318, tc_HOL_Obool), _u15319))) = hAPP(c_Set_OCollect(_u15317), hAPP(hAPP(c_COMBB(tc_fun(_u15318, tc_HOL_Obool), tc_HOL_Obool, _u15317), c_HOL_OEx(_u15318)), _u15319))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u15324, _u15326, hAPP(hAPP(c_COMBC(_u15324, tc_fun(tc_prod(_u15324, _u15326), tc_HOL_Obool), tc_fun(_u15326, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15326, tc_fun(tc_fun(tc_prod(_u15324, _u15326), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15324, _u15326), tc_HOL_Obool), tc_fun(_u15326, tc_HOL_Obool)), _u15324), c_COMBC(_u15326, tc_fun(tc_prod(_u15324, _u15326), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15326, tc_prod(_u15324, _u15326)), tc_fun(_u15326, tc_fun(tc_fun(tc_prod(_u15324, _u15326), tc_HOL_Obool), tc_HOL_Obool)), _u15324), hAPP(c_COMBB(tc_prod(_u15324, _u15326), tc_fun(tc_fun(tc_prod(_u15324, _u15326), tc_HOL_Obool), tc_HOL_Obool), _u15326), c_member(tc_prod(_u15324, _u15326)))), c_Product__Type_OPair(_u15324, _u15326)))), _u15328)), _u15330)) | hBOOL(hAPP(hAPP(c_member(_u15324), _u15330), hAPP(c_Relation_ODomain(_u15324, _u15326), _u15328))) )).
% 27.68/27.90 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15325), _u15331), hAPP(c_Relation_ODomain(_u15325, _u15327), _u15329))) | hBOOL(hAPP(c_Predicate_ODomainP(_u15325, _u15327, hAPP(hAPP(c_COMBC(_u15325, tc_fun(tc_prod(_u15325, _u15327), tc_HOL_Obool), tc_fun(_u15327, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15327, tc_fun(tc_fun(tc_prod(_u15325, _u15327), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15325, _u15327), tc_HOL_Obool), tc_fun(_u15327, tc_HOL_Obool)), _u15325), c_COMBC(_u15327, tc_fun(tc_prod(_u15325, _u15327), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15327, tc_prod(_u15325, _u15327)), tc_fun(_u15327, tc_fun(tc_fun(tc_prod(_u15325, _u15327), tc_HOL_Obool), tc_HOL_Obool)), _u15325), hAPP(c_COMBB(tc_prod(_u15325, _u15327), tc_fun(tc_fun(tc_prod(_u15325, _u15327), tc_HOL_Obool), tc_HOL_Obool), _u15327), c_member(tc_prod(_u15325, _u15327)))), c_Product__Type_OPair(_u15325, _u15327)))), _u15329)), _u15331)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15333), _u15334), hAPP(c_Relation_ODomain(_u15333, _u15335), _u15336))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15333, _u15335)), hAPP(hAPP(c_Product__Type_OPair(_u15333, _u15335), _u15334), skolem340(_u15336, _u15335, _u15334, _u15333))), _u15336)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u15337, _u15338), _u15339)) | hBOOL(hAPP(c_Predicate_ODomainP(_u15340, _u15341, _u15337), _u15338)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_DomainP_Oequations ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_DomainP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u15352, _u15354), skolem341(_u15354, _u15352))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u15348, _u15350, _u15352), _u15354)) )).
% 27.68/27.90 cnf(fact_DomainP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u15353, _u15355), _u15343)) | hBOOL(hAPP(c_Predicate_ODomainP(_u15349, _u15351, _u15353), _u15355)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wfP__acyclicP ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wfP__acyclicP-1, axiom, ( ~c_Wellfounded_OwfP(_u15356, _u15357) | c_Wellfounded_Oacyclic(_u15356, hAPP(c_Set_OCollect(tc_prod(_u15356, _u15356)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15356, _u15356, tc_HOL_Obool), _u15357))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_pos__map__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_pos__map__def-1, axiom, ( ( c_New__Random__Sequence_Opos__map(_u15358, _u15359, _u15360, _u15361) = c_New__Random__Sequence_Opos__bind(_u15358, _u15359, _u15361, hAPP(c_Fun_Ocomp(_u15359, 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(_u15359))))), _u15358, c_New__Random__Sequence_Opos__single(_u15359)), _u15360))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__acyclic ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__acyclic-1, axiom, ( ~c_Wellfounded_Owf(_u15362, _u15363) | c_Wellfounded_Oacyclic(_u15362, _u15363) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u15364, _u15365) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15364, _u15364), tc_HOL_Obool)), _u15366), _u15365)) | c_Wellfounded_Oacyclic(_u15364, _u15366) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__acyclic__wf ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__acyclic__wf-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15367, _u15367)), _u15368)) | ~c_Wellfounded_Oacyclic(_u15367, _u15368) | c_Wellfounded_Owf(_u15367, _u15368) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__iff__acyclic__if__finite ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__iff__acyclic__if__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15369, _u15369)), _u15370)) | ~c_Wellfounded_Owf(_u15369, _u15370) | c_Wellfounded_Oacyclic(_u15369, _u15370) )).
% 27.68/27.90 cnf(fact_wf__iff__acyclic__if__finite-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15369, _u15369)), _u15370)) | ~c_Wellfounded_Oacyclic(_u15369, _u15370) | c_Wellfounded_Owf(_u15369, _u15370) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_pos__single__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_pos__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u15371), _u15372), _u15373), _u15374), _u15375) = c_New__DSequence_Opos__single(_u15371, _u15372)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Nitpick_Owf_H__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Nitpick_Owf_H__def-1, axiom, ( ~c_Nitpick_Owf_H(_u15378, _u15380) | c_Wellfounded_Oacyclic(_u15378, _u15380) )).
% 27.68/27.90 cnf(fact_Nitpick_Owf_H__def-2, axiom, ( ~c_Nitpick_Owf_H(_u15378, _u15380) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15378, _u15378)), _u15380)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 27.68/27.90 cnf(fact_Nitpick_Owf_H__def-3, axiom, ( c_Nitpick_Owf_H(_u15379, _u15381) | ~c_Wellfounded_Oacyclic(_u15379, _u15381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15379, _u15379)), _u15381)) )).
% 27.68/27.90 cnf(fact_Nitpick_Owf_H__def-4, axiom, ( c_Nitpick_Owf_H(_u15379, _u15381) | ~c_Wellfounded_Oacyclic(_u15379, _u15381) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_New__DSequence_Opos__single__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_New__DSequence_Opos__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__single(_u15382, _u15383), _u15384) = c_Lazy__Sequence_Osingle(_u15382, _u15383)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_neg__map__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_neg__map__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__map(_u15385, _u15386, _u15387, _u15388) = c_New__Random__Sequence_Oneg__bind(_u15385, _u15386, _u15388, hAPP(c_Fun_Ocomp(_u15386, 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(_u15386)))))), _u15385, c_New__Random__Sequence_Oneg__single(_u15386)), _u15387))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_neg__single__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_neg__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u15389), _u15390), _u15391), _u15392), _u15393) = c_New__DSequence_Oneg__single(_u15389, _u15390)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_pigeonhole__infinite ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15395), _u15396)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15397), hAPP(c_Set_Oimage(_u15395, _u15397, _u15398), _u15396))) | hBOOL(hAPP(hAPP(c_member(_u15395), skolem342(_u15398, _u15397, _u15396, _u15395)), _u15396)) )).
% 27.68/27.90 cnf(fact_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15395), _u15396)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15397), hAPP(c_Set_Oimage(_u15395, _u15397, _u15398), _u15396))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15395), hAPP(c_Set_OCollect(_u15395), hAPP(hAPP(c_COMBS(_u15395, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15395), c_fconj), hAPP(hAPP(c_COMBC(_u15395, tc_fun(_u15395, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15395)), _u15396))), hAPP(hAPP(c_COMBC(_u15395, _u15397, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u15397, tc_fun(_u15397, tc_HOL_Obool), _u15395), c_fequal), _u15398)), hAPP(_u15398, skolem342(_u15398, _u15397, _u15396, _u15395))))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_New__DSequence_Oneg__single__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_New__DSequence_Oneg__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__single(_u15399, _u15400), _u15401) = c_Lazy__Sequence_Ohb__single(_u15399, _u15400)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__on__def_H ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__on__def_H-1, axiom, ( ~c_Relation_Orefl__on(_u15409, _u15411, _u15413) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15409, _u15409)), _u15402), _u15413)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15409, _u15409, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15409, tc_fun(_u15409, tc_HOL_Obool), tc_fun(_u15409, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15409, tc_HOL_Obool), tc_fun(_u15409, tc_HOL_Obool)), _u15409), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15409)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15409), c_fconj), hAPP(hAPP(c_COMBC(_u15409, tc_fun(_u15409, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15409)), _u15411)))), hAPP(hAPP(c_COMBC(_u15409, tc_fun(_u15409, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15409)), _u15411))), _u15402)) )).
% 27.68/27.90 cnf(fact_refl__on__def_H-2, axiom, ( ~c_Relation_Orefl__on(_u15409, _u15411, _u15413) | ~hBOOL(hAPP(hAPP(c_member(_u15409), _u15403), _u15411)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15409, _u15409)), hAPP(hAPP(c_Product__Type_OPair(_u15409, _u15409), _u15403), _u15403)), _u15413)) )).
% 27.68/27.90 cnf(fact_refl__on__def_H-3, axiom, ( c_Relation_Orefl__on(_u15410, _u15412, _u15414) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15410, _u15410)), skolem343(_u15414, _u15412, _u15410)), _u15414)) | hBOOL(hAPP(hAPP(c_member(_u15410), skolem344(_u15414, _u15412, _u15410)), _u15412)) )).
% 27.68/27.90 cnf(fact_refl__on__def_H-4, axiom, ( c_Relation_Orefl__on(_u15410, _u15412, _u15414) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15410, _u15410)), skolem343(_u15414, _u15412, _u15410)), _u15414)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15410, _u15410)), hAPP(hAPP(c_Product__Type_OPair(_u15410, _u15410), skolem344(_u15414, _u15412, _u15410)), skolem344(_u15414, _u15412, _u15410))), _u15414)) )).
% 27.68/27.90 cnf(fact_refl__on__def_H-5, axiom, ( c_Relation_Orefl__on(_u15410, _u15412, _u15414) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15410, _u15410, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15410, tc_fun(_u15410, tc_HOL_Obool), tc_fun(_u15410, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15410, tc_HOL_Obool), tc_fun(_u15410, tc_HOL_Obool)), _u15410), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15410)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15410), c_fconj), hAPP(hAPP(c_COMBC(_u15410, tc_fun(_u15410, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15410)), _u15412)))), hAPP(hAPP(c_COMBC(_u15410, tc_fun(_u15410, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15410)), _u15412))), skolem343(_u15414, _u15412, _u15410))) | hBOOL(hAPP(hAPP(c_member(_u15410), skolem344(_u15414, _u15412, _u15410)), _u15412)) )).
% 27.68/27.90 cnf(fact_refl__on__def_H-6, axiom, ( c_Relation_Orefl__on(_u15410, _u15412, _u15414) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15410, _u15410, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15410, tc_fun(_u15410, tc_HOL_Obool), tc_fun(_u15410, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15410, tc_HOL_Obool), tc_fun(_u15410, tc_HOL_Obool)), _u15410), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15410)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15410), c_fconj), hAPP(hAPP(c_COMBC(_u15410, tc_fun(_u15410, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15410)), _u15412)))), hAPP(hAPP(c_COMBC(_u15410, tc_fun(_u15410, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15410)), _u15412))), skolem343(_u15414, _u15412, _u15410))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15410, _u15410)), hAPP(hAPP(c_Product__Type_OPair(_u15410, _u15410), skolem344(_u15414, _u15412, _u15410)), skolem344(_u15414, _u15412, _u15410))), _u15414)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Powp__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Powp__def-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u15420, _u15422), _u15424)) | ~hBOOL(hAPP(hAPP(c_member(_u15420), _u15415), _u15424)) | hBOOL(hAPP(_u15422, _u15415)) )).
% 27.68/27.90 cnf(fact_Powp__def-2, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u15421, _u15423), _u15425)) | hBOOL(hAPP(hAPP(c_member(_u15421), skolem345(_u15425, _u15423, _u15421)), _u15425)) )).
% 27.68/27.90 cnf(fact_Powp__def-3, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u15421, _u15423), _u15425)) | ~hBOOL(hAPP(_u15423, skolem345(_u15425, _u15423, _u15421))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_ball__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_ball__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15427), _u15426), c_Orderings_Obot__class_Obot(tc_fun(_u15427, tc_HOL_Obool)))) | hBOOL(hAPP(_u15428, _u15426)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_congruent__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_congruent__def-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u15435, _u15437, _u15439, _u15441) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15435, _u15435)), _u15429), _u15439)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15435, _u15435, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15435, tc_fun(_u15435, _u15437), tc_fun(_u15435, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15437, tc_HOL_Obool), tc_fun(tc_fun(_u15435, _u15437), tc_fun(_u15435, tc_HOL_Obool)), _u15435), c_COMBB(_u15437, tc_HOL_Obool, _u15435)), hAPP(hAPP(c_COMBB(_u15437, tc_fun(_u15437, tc_HOL_Obool), _u15435), c_fequal), _u15441))), _u15441)), _u15429)) )).
% 27.68/27.90 cnf(fact_congruent__def-2, axiom, ( c_Equiv__Relations_Ocongruent(_u15436, _u15438, _u15440, _u15442) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15436, _u15436)), skolem346(_u15442, _u15440, _u15438, _u15436)), _u15440)) )).
% 27.68/27.90 cnf(fact_congruent__def-3, axiom, ( c_Equiv__Relations_Ocongruent(_u15436, _u15438, _u15440, _u15442) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15436, _u15436, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15436, tc_fun(_u15436, _u15438), tc_fun(_u15436, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15438, tc_HOL_Obool), tc_fun(tc_fun(_u15436, _u15438), tc_fun(_u15436, tc_HOL_Obool)), _u15436), c_COMBB(_u15438, tc_HOL_Obool, _u15436)), hAPP(hAPP(c_COMBB(_u15438, tc_fun(_u15438, tc_HOL_Obool), _u15436), c_fequal), _u15442))), _u15442)), skolem346(_u15442, _u15440, _u15438, _u15436))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Abs__Integ__cases ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Abs__Integ__cases-1, axiom, ( ( _u15444 = hAPP(c_Int_OAbs__Integ, skolem347(_u15444))) )).
% 27.68/27.90 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)), skolem347(_u15444)), c_Int_OInteg)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Abs__Integ__induct ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Abs__Integ__induct-1, axiom, ( hBOOL(hAPP(_u15446, _u15447)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem348(_u15447, _u15446)), c_Int_OInteg)) )).
% 27.68/27.90 cnf(fact_Abs__Integ__induct-2, axiom, ( hBOOL(hAPP(_u15446, _u15447)) | ~hBOOL(hAPP(_u15446, hAPP(c_Int_OAbs__Integ, skolem348(_u15447, _u15446)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_hoare__valids__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_hoare__valids__def-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u15457, _u15459, _u15461) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u15457)), _u15449), _u15461)) | c_Hoare__Mirabelle_Otriple__valid(_u15457, _u15450, _u15449) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u15457)), skolem349(_u15461, _u15459, _u15457, _u15450)), _u15459)) )).
% 27.68/27.90 cnf(fact_hoare__valids__def-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u15457, _u15459, _u15461) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u15457)), _u15449), _u15461)) | c_Hoare__Mirabelle_Otriple__valid(_u15457, _u15450, _u15449) | ~c_Hoare__Mirabelle_Otriple__valid(_u15457, _u15450, skolem349(_u15461, _u15459, _u15457, _u15450)) )).
% 27.68/27.90 cnf(fact_hoare__valids__def-3, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u15458, _u15460, _u15462) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u15458)), _u15451), _u15460)) | c_Hoare__Mirabelle_Otriple__valid(_u15458, skolem350(_u15462, _u15460, _u15458), _u15451) )).
% 27.68/27.90 cnf(fact_hoare__valids__def-4, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u15458, _u15460, _u15462) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u15458)), skolem351(_u15462, _u15460, _u15458)), _u15462)) )).
% 27.68/27.90 cnf(fact_hoare__valids__def-5, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u15458, _u15460, _u15462) | ~c_Hoare__Mirabelle_Otriple__valid(_u15458, skolem350(_u15462, _u15460, _u15458), skolem351(_u15462, _u15460, _u15458)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__UN__I ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__UN__I-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15464), _u15465)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15464, tc_fun(_u15466, tc_HOL_Obool)), _u15465), _u15467))) | hBOOL(hAPP(hAPP(c_member(_u15464), skolem352(_u15467, _u15466, _u15465, _u15464)), _u15465)) )).
% 27.68/27.90 cnf(fact_finite__UN__I-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15464), _u15465)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15464, tc_fun(_u15466, tc_HOL_Obool)), _u15465), _u15467))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15466), hAPP(_u15467, skolem352(_u15467, _u15466, _u15465, _u15464)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_inj__on__diff__nat ( axiom ) converted to clauses:
% 27.68/27.90 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)), _u15470), _u15469) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem353(_u15470, _u15469)), _u15469)) )).
% 27.68/27.90 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)), _u15470), _u15469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15470), skolem353(_u15470, _u15469))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wfP__SUP ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wfP__SUP-1, axiom, ( ~c_Wellfounded_OwfP(_u15474, hAPP(_u15475, skolem354(_u15476, _u15475, _u15474))) | c_Wellfounded_OwfP(_u15474, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15476, tc_fun(_u15474, tc_fun(_u15474, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u15476, tc_HOL_Obool))), _u15475)) | ( hAPP(_u15475, skolem355(_u15476, _u15475, _u15474)) != hAPP(_u15475, skolem356(_u15476, _u15475, _u15474))) )).
% 27.68/27.90 cnf(fact_wfP__SUP-2, axiom, ( ~c_Wellfounded_OwfP(_u15474, hAPP(_u15475, skolem354(_u15476, _u15475, _u15474))) | c_Wellfounded_OwfP(_u15474, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15476, tc_fun(_u15474, tc_fun(_u15474, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u15476, tc_HOL_Obool))), _u15475)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15474, tc_HOL_Obool)), c_Predicate_ODomainP(_u15474, _u15474, hAPP(_u15475, skolem355(_u15476, _u15475, _u15474)))), c_Predicate_ORangeP(_u15474, _u15474, hAPP(_u15475, skolem356(_u15476, _u15475, _u15474)))) != c_Orderings_Obot__class_Obot(tc_fun(_u15474, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__map__freshness ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__map__freshness-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15478), c_Map_Odom(_u15478, _u15479, _u15480))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15478), c_Orderings_Otop__class_Otop(tc_fun(_u15478, tc_HOL_Obool)))) | ( hAPP(_u15480, skolem357(_u15480, _u15479, _u15478)) = c_Option_Ooption_ONone(_u15479)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_mem__splitI2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_mem__splitI2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15486), _u15487), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15484, _u15485, tc_fun(_u15486, tc_HOL_Obool)), _u15488), _u15483))) | ( _u15483 = hAPP(hAPP(c_Product__Type_OPair(_u15484, _u15485), skolem358(_u15488, _u15487, _u15486, _u15485, _u15484, _u15483)), skolem359(_u15488, _u15487, _u15486, _u15485, _u15484, _u15483))) )).
% 27.68/27.90 cnf(fact_mem__splitI2-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15486), _u15487), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15484, _u15485, tc_fun(_u15486, tc_HOL_Obool)), _u15488), _u15483))) | ~hBOOL(hAPP(hAPP(c_member(_u15486), _u15487), hAPP(hAPP(_u15488, skolem358(_u15488, _u15487, _u15486, _u15485, _u15484, _u15483)), skolem359(_u15488, _u15487, _u15486, _u15485, _u15484, _u15483)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_mem__splitE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_mem__splitE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15491), _u15492), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15493, _u15494, tc_fun(_u15491, tc_HOL_Obool)), _u15495), _u15496))) | ( _u15496 = hAPP(hAPP(c_Product__Type_OPair(_u15493, _u15494), skolem360(_u15496, _u15495, _u15494, _u15493, _u15492, _u15491)), skolem361(_u15496, _u15495, _u15494, _u15493, _u15492, _u15491))) )).
% 27.68/27.90 cnf(fact_mem__splitE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15491), _u15492), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15493, _u15494, tc_fun(_u15491, tc_HOL_Obool)), _u15495), _u15496))) | hBOOL(hAPP(hAPP(c_member(_u15491), _u15492), hAPP(hAPP(_u15495, skolem360(_u15496, _u15495, _u15494, _u15493, _u15492, _u15491)), skolem361(_u15496, _u15495, _u15494, _u15493, _u15492, _u15491)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Eps__split ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Eps__split-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15497, _u15498), hAPP(c_Product__Type_Oprod_Oprod__case(_u15497, _u15498, tc_HOL_Obool), _u15499)) = c_Hilbert__Choice_OEps(tc_prod(_u15497, _u15498), hAPP(hAPP(c_COMBS(tc_prod(_u15497, _u15498), _u15498, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u15497, tc_fun(_u15498, tc_HOL_Obool), tc_prod(_u15497, _u15498)), _u15499), c_Product__Type_Ofst(_u15497, _u15498))), c_Product__Type_Osnd(_u15497, _u15498)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_exE__some ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_exE__some-1, axiom, ( ~hBOOL(hAPP(_u15501, _u15500)) | ( _u15502 != c_Hilbert__Choice_OEps(_u15503, _u15501)) | hBOOL(hAPP(_u15501, _u15502)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_tfl__some ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_tfl__some-1, axiom, ( ~hBOOL(hAPP(_u15505, _u15504)) | hBOOL(hAPP(_u15505, c_Hilbert__Choice_OEps(_u15506, _u15505))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_someI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_someI-1, axiom, ( ~hBOOL(hAPP(_u15507, _u15508)) | hBOOL(hAPP(_u15507, c_Hilbert__Choice_OEps(_u15509, _u15507))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_some__sym__eq__trivial ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_some__sym__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u15510, hAPP(c_fequal, _u15511)) = _u15511) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_some__eq__trivial ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_some__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u15512, hAPP(hAPP(c_COMBC(_u15512, _u15512, tc_HOL_Obool), c_fequal), _u15513)) = _u15513) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_some__eq__ex ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_some__eq__ex-1, axiom, ( ~hBOOL(hAPP(_u15518, c_Hilbert__Choice_OEps(_u15520, _u15518))) | hBOOL(hAPP(_u15518, skolem362(_u15520, _u15518))) )).
% 27.68/27.90 cnf(fact_some__eq__ex-2, axiom, ( ~hBOOL(hAPP(_u15519, _u15515)) | hBOOL(hAPP(_u15519, c_Hilbert__Choice_OEps(_u15521, _u15519))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_someI__ex ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_someI__ex-1, axiom, ( ~hBOOL(hAPP(_u15523, _u15522)) | hBOOL(hAPP(_u15523, c_Hilbert__Choice_OEps(_u15524, _u15523))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_split__paired__Eps ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_split__paired__Eps-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15525, _u15526), _u15527) = c_Hilbert__Choice_OEps(tc_prod(_u15525, _u15526), hAPP(c_Product__Type_Oprod_Oprod__case(_u15525, _u15526, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15526, tc_prod(_u15525, _u15526)), tc_fun(_u15526, tc_HOL_Obool), _u15525), hAPP(c_COMBB(tc_prod(_u15525, _u15526), tc_HOL_Obool, _u15526), _u15527)), c_Product__Type_OPair(_u15525, _u15526))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Eps__split__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Eps__split__eq-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15528, _u15529), hAPP(c_Product__Type_Oprod_Oprod__case(_u15528, _u15529, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15528, tc_fun(_u15529, tc_HOL_Obool), tc_fun(_u15529, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15529, tc_HOL_Obool), tc_fun(_u15529, tc_HOL_Obool)), _u15528), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15529)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15528), c_fconj), hAPP(c_fequal, _u15530)))), hAPP(c_fequal, _u15531)))) = hAPP(hAPP(c_Product__Type_OPair(_u15528, _u15529), _u15530), _u15531)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wfI__pf ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wfI__pf-1, axiom, ( c_Wellfounded_Owf(_u15533, _u15534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15533, tc_HOL_Obool)), skolem363(_u15534, _u15533)), hAPP(c_Relation_OImage(_u15533, _u15533, _u15534), skolem363(_u15534, _u15533)))) )).
% 27.68/27.90 cnf(fact_wfI__pf-2, axiom, ( c_Wellfounded_Owf(_u15533, _u15534) | ( skolem363(_u15534, _u15533) != c_Orderings_Obot__class_Obot(tc_fun(_u15533, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Sigma__mono ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Sigma__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15536, tc_HOL_Obool)), _u15537), _u15538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15536, _u15539), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u15536, _u15539), _u15537), _u15540)), hAPP(hAPP(c_Product__Type_OSigma(_u15536, _u15539), _u15538), _u15541))) | hBOOL(hAPP(hAPP(c_member(_u15536), skolem364(_u15541, _u15540, _u15539, _u15538, _u15537, _u15536)), _u15537)) )).
% 27.68/27.90 cnf(fact_Sigma__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15536, tc_HOL_Obool)), _u15537), _u15538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15536, _u15539), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u15536, _u15539), _u15537), _u15540)), hAPP(hAPP(c_Product__Type_OSigma(_u15536, _u15539), _u15538), _u15541))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15539, tc_HOL_Obool)), hAPP(_u15540, skolem364(_u15541, _u15540, _u15539, _u15538, _u15537, _u15536))), hAPP(_u15541, skolem364(_u15541, _u15540, _u15539, _u15538, _u15537, _u15536)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15543), _u15544), c_Wellfounded_Oacc(_u15543, _u15545))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15543, _u15543)), hAPP(hAPP(c_Product__Type_OPair(_u15543, _u15543), skolem365(_u15545, _u15544, _u15543)), _u15544)), _u15545)) )).
% 27.68/27.90 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15543), _u15544), c_Wellfounded_Oacc(_u15543, _u15545))) | ~hBOOL(hAPP(hAPP(c_member(_u15543), skolem365(_u15545, _u15544, _u15543)), c_Wellfounded_Oacc(_u15543, _u15545))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15547), _u15548), c_Wellfounded_Oacc(_u15547, _u15549))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15547, _u15547)), hAPP(hAPP(c_Product__Type_OPair(_u15547, _u15547), skolem366(_u15549, _u15548, _u15547)), _u15548)), _u15549)) )).
% 27.68/27.90 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15547), _u15548), c_Wellfounded_Oacc(_u15547, _u15549))) | ~hBOOL(hAPP(hAPP(c_member(_u15547), skolem366(_u15549, _u15548, _u15547)), c_Wellfounded_Oacc(_u15547, _u15549))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__image__1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__image__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u15551) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15552), _u15553)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15551, _u15552, c_Groups_Otimes__class_Otimes(_u15551)), _u15554), c_Groups_Oone__class_Oone(_u15551)), _u15553) = c_Groups_Oone__class_Oone(_u15551)) | hBOOL(hAPP(hAPP(c_member(_u15552), skolem367(_u15554, _u15553, _u15552, _u15551)), _u15553)) )).
% 27.68/27.90 cnf(fact_fold__image__1-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u15551) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15552), _u15553)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15551, _u15552, c_Groups_Otimes__class_Otimes(_u15551)), _u15554), c_Groups_Oone__class_Oone(_u15551)), _u15553) = c_Groups_Oone__class_Oone(_u15551)) | ( hAPP(_u15554, skolem367(_u15554, _u15553, _u15552, _u15551)) != c_Groups_Oone__class_Oone(_u15551)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_card_Oneutral ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_card_Oneutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15556), _u15557)) | ( hAPP(c_Finite__Set_Ocard(_u15556), _u15557) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u15556), skolem368(_u15557, _u15556)), _u15557)) )).
% 27.68/27.90 cnf(fact_card_Oneutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15556), _u15557)) | ( hAPP(c_Finite__Set_Ocard(_u15556), _u15557) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_max__ext_Osimps ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_max__ext_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool)), _u15568), _u15570)), c_Wellfounded_Omax__ext(_u15566, _u15572))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15566), _u15568)) )).
% 27.68/27.90 cnf(fact_max__ext_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool)), _u15568), _u15570)), c_Wellfounded_Omax__ext(_u15566, _u15572))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15566), _u15570)) )).
% 27.68/27.90 cnf(fact_max__ext_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool)), _u15568), _u15570)), c_Wellfounded_Omax__ext(_u15566, _u15572))) | ( _u15570 != c_Orderings_Obot__class_Obot(tc_fun(_u15566, tc_HOL_Obool))) )).
% 27.68/27.90 cnf(fact_max__ext_Osimps-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool)), _u15568), _u15570)), c_Wellfounded_Omax__ext(_u15566, _u15572))) | ~hBOOL(hAPP(hAPP(c_member(_u15566), _u15559), _u15568)) | hBOOL(hAPP(hAPP(c_member(_u15566), skolem369(_u15572, _u15570, _u15568, _u15566, _u15559)), _u15570)) )).
% 27.68/27.90 cnf(fact_max__ext_Osimps-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool)), _u15568), _u15570)), c_Wellfounded_Omax__ext(_u15566, _u15572))) | ~hBOOL(hAPP(hAPP(c_member(_u15566), _u15559), _u15568)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15566, _u15566)), hAPP(hAPP(c_Product__Type_OPair(_u15566, _u15566), _u15559), skolem369(_u15572, _u15570, _u15568, _u15566, _u15559))), _u15572)) )).
% 27.68/27.90 cnf(fact_max__ext_Osimps-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15567, tc_HOL_Obool), tc_fun(_u15567, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15567, tc_HOL_Obool), tc_fun(_u15567, tc_HOL_Obool)), _u15569), _u15571)), c_Wellfounded_Omax__ext(_u15567, _u15573))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15567), _u15569)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15567), _u15571)) | ( _u15571 = c_Orderings_Obot__class_Obot(tc_fun(_u15567, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u15567), skolem370(_u15573, _u15571, _u15569, _u15567)), _u15569)) )).
% 27.68/27.90 cnf(fact_max__ext_Osimps-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15567, tc_HOL_Obool), tc_fun(_u15567, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15567, tc_HOL_Obool), tc_fun(_u15567, tc_HOL_Obool)), _u15569), _u15571)), c_Wellfounded_Omax__ext(_u15567, _u15573))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15567), _u15569)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15567), _u15571)) | ( _u15571 = c_Orderings_Obot__class_Obot(tc_fun(_u15567, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u15567), _u15560), _u15571)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15567, _u15567)), hAPP(hAPP(c_Product__Type_OPair(_u15567, _u15567), skolem370(_u15573, _u15571, _u15569, _u15567)), _u15560)), _u15573)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_fold__image__cong ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_fold__image__cong-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u15575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15576), _u15577)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15575, _u15576, c_Groups_Otimes__class_Otimes(_u15575)), _u15578), _u15580), _u15577) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15575, _u15576, c_Groups_Otimes__class_Otimes(_u15575)), _u15579), _u15580), _u15577)) | hBOOL(hAPP(hAPP(c_member(_u15576), skolem371(_u15580, _u15579, _u15578, _u15577, _u15576, _u15575)), _u15577)) )).
% 27.68/27.90 cnf(fact_fold__image__cong-2, axiom, ( ~class_Groups_Oab__semigroup__mult(_u15575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15576), _u15577)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15575, _u15576, c_Groups_Otimes__class_Otimes(_u15575)), _u15578), _u15580), _u15577) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15575, _u15576, c_Groups_Otimes__class_Otimes(_u15575)), _u15579), _u15580), _u15577)) | ( hAPP(_u15578, skolem371(_u15580, _u15579, _u15578, _u15577, _u15576, _u15575)) != hAPP(_u15579, skolem371(_u15580, _u15579, _u15578, _u15577, _u15576, _u15575))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setprod__dvd__setprod__subset2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setprod__dvd__setprod__subset2-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u15582) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15583), _u15584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15583, tc_HOL_Obool)), _u15585), _u15584)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15582), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15583, _u15582), _u15586), _u15585)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15583, _u15582), _u15587), _u15584))) | hBOOL(hAPP(hAPP(c_member(_u15583), skolem372(_u15587, _u15586, _u15585, _u15584, _u15583, _u15582)), _u15585)) )).
% 27.68/27.90 cnf(fact_setprod__dvd__setprod__subset2-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u15582) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15583), _u15584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15583, tc_HOL_Obool)), _u15585), _u15584)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15582), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15583, _u15582), _u15586), _u15585)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15583, _u15582), _u15587), _u15584))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15582), hAPP(_u15586, skolem372(_u15587, _u15586, _u15585, _u15584, _u15583, _u15582))), hAPP(_u15587, skolem372(_u15587, _u15586, _u15585, _u15584, _u15583, _u15582)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Min__eqI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Min__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u15589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15589), _u15590)) | ~hBOOL(hAPP(hAPP(c_member(_u15589), _u15591), _u15590)) | ( c_Big__Operators_Olinorder__class_OMin(_u15589, _u15590) = _u15591) | hBOOL(hAPP(hAPP(c_member(_u15589), skolem373(_u15591, _u15590, _u15589)), _u15590)) )).
% 27.68/27.90 cnf(fact_Min__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u15589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15589), _u15590)) | ~hBOOL(hAPP(hAPP(c_member(_u15589), _u15591), _u15590)) | ( c_Big__Operators_Olinorder__class_OMin(_u15589, _u15590) = _u15591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15589), _u15591), skolem373(_u15591, _u15590, _u15589))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Max__eqI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Max__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u15593) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15593), _u15594)) | ~hBOOL(hAPP(hAPP(c_member(_u15593), _u15595), _u15594)) | ( c_Big__Operators_Olinorder__class_OMax(_u15593, _u15594) = _u15595) | hBOOL(hAPP(hAPP(c_member(_u15593), skolem374(_u15595, _u15594, _u15593)), _u15594)) )).
% 27.68/27.90 cnf(fact_Max__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u15593) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15593), _u15594)) | ~hBOOL(hAPP(hAPP(c_member(_u15593), _u15595), _u15594)) | ( c_Big__Operators_Olinorder__class_OMax(_u15593, _u15594) = _u15595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15593), skolem374(_u15595, _u15594, _u15593)), _u15595)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__no__infinite__down__chainE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__no__infinite__down__chainE-1, axiom, ( ~c_Wellfounded_Owf(_u15597, _u15598) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15597, _u15597)), hAPP(hAPP(c_Product__Type_OPair(_u15597, _u15597), hAPP(_u15599, hAPP(c_Nat_OSuc, skolem375(_u15599, _u15598, _u15597)))), hAPP(_u15599, skolem375(_u15599, _u15598, _u15597)))), _u15598)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_setsum__reindex__cong ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_setsum__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15601) | ~c_Fun_Oinj__on(_u15602, _u15603, _u15604, _u15605) | ( _u15606 != hAPP(c_Set_Oimage(_u15602, _u15603, _u15604), _u15605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15603, _u15601), _u15608), _u15606) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15602, _u15601), _u15607), _u15605)) | hBOOL(hAPP(hAPP(c_member(_u15602), skolem376(_u15608, _u15607, _u15606, _u15605, _u15604, _u15603, _u15602, _u15601)), _u15605)) )).
% 27.68/27.90 cnf(fact_setsum__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15601) | ~c_Fun_Oinj__on(_u15602, _u15603, _u15604, _u15605) | ( _u15606 != hAPP(c_Set_Oimage(_u15602, _u15603, _u15604), _u15605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15603, _u15601), _u15608), _u15606) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15602, _u15601), _u15607), _u15605)) | ( hAPP(_u15607, skolem376(_u15608, _u15607, _u15606, _u15605, _u15604, _u15603, _u15602, _u15601)) != hAPP(_u15608, hAPP(_u15604, skolem376(_u15608, _u15607, _u15606, _u15605, _u15604, _u15603, _u15602, _u15601)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_less__eq ( axiom ) converted to clauses:
% 27.68/27.90 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), _u15611), _u15613)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15611), _u15613)) )).
% 27.68/27.90 cnf(fact_less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15612), _u15614)) | 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), _u15612), _u15614)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__trancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u15615, _u15616) | c_Wellfounded_Owf(_u15615, c_Transitive__Closure_Otrancl(_u15615, _u15616)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_less__than__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_less__than__def-1, axiom, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u15621, _u15623) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15621, _u15621)), hAPP(hAPP(c_Product__Type_OPair(_u15621, _u15621), _u15617), _u15617)), c_Transitive__Closure_Otrancl(_u15621, _u15623))) )).
% 27.68/27.90 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15622, _u15622)), hAPP(hAPP(c_Product__Type_OPair(_u15622, _u15622), skolem377(_u15624, _u15622)), skolem377(_u15624, _u15622))), c_Transitive__Closure_Otrancl(_u15622, _u15624))) | c_Wellfounded_Oacyclic(_u15622, _u15624) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15625, _u15625)), hAPP(hAPP(c_Product__Type_OPair(_u15625, _u15625), _u15626), _u15627)), _u15628)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15625, _u15625)), hAPP(hAPP(c_Product__Type_OPair(_u15625, _u15625), _u15626), _u15627)), c_Transitive__Closure_Otrancl(_u15625, _u15628))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__subset__Field2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__subset__Field2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15629, _u15629), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15629, _u15630)), hAPP(hAPP(c_Product__Type_OSigma(_u15629, _u15629), hAPP(c_Relation_OField(_u15629), _u15630)), hAPP(c_COMBK(tc_fun(_u15629, tc_HOL_Obool), _u15629), hAPP(c_Relation_OField(_u15629), _u15630))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), _u15632), _u15633)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), _u15632), c_Transitive__Closure_Otrancl(_u15631, _u15633))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15634, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15634, _u15634), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15634, _u15634), tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__domain-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15635, _u15635), c_Transitive__Closure_Otrancl(_u15635, _u15636)) = hAPP(c_Relation_ODomain(_u15635, _u15635), _u15636)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__range-1, axiom, ( ( hAPP(c_Relation_ORange(_u15637, _u15637), c_Transitive__Closure_Otrancl(_u15637, _u15638)) = hAPP(c_Relation_ORange(_u15637, _u15637), _u15638)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__trancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__trancl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15641, _u15641)), c_Transitive__Closure_Otrancl(_u15641, _u15643))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15641, _u15641)), _u15643)) )).
% 27.68/27.90 cnf(fact_finite__trancl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15642, _u15642)), _u15644)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15642, _u15642)), c_Transitive__Closure_Otrancl(_u15642, _u15644))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15645, _u15645)), hAPP(hAPP(c_Product__Type_OPair(_u15645, _u15645), _u15646), _u15647)), c_Transitive__Closure_Otrancl(_u15645, _u15648))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15645, _u15645)), hAPP(hAPP(c_Product__Type_OPair(_u15645, _u15645), _u15647), _u15649)), c_Transitive__Closure_Otrancl(_u15645, _u15648))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15645, _u15645)), hAPP(hAPP(c_Product__Type_OPair(_u15645, _u15645), _u15646), _u15649)), c_Transitive__Closure_Otrancl(_u15645, _u15648))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15650, _u15650)), hAPP(hAPP(c_Product__Type_OPair(_u15650, _u15650), _u15651), _u15652)), c_Transitive__Closure_Otrancl(_u15650, _u15653))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15650, _u15650)), hAPP(hAPP(c_Product__Type_OPair(_u15650, _u15650), _u15652), _u15654)), _u15653)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15650, _u15650)), hAPP(hAPP(c_Product__Type_OPair(_u15650, _u15650), _u15651), _u15654)), c_Transitive__Closure_Otrancl(_u15650, _u15653))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15655, _u15655)), hAPP(hAPP(c_Product__Type_OPair(_u15655, _u15655), _u15656), _u15657)), _u15658)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15655, _u15655)), hAPP(hAPP(c_Product__Type_OPair(_u15655, _u15655), _u15657), _u15659)), c_Transitive__Closure_Otrancl(_u15655, _u15658))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15655, _u15655)), hAPP(hAPP(c_Product__Type_OPair(_u15655, _u15655), _u15656), _u15659)), c_Transitive__Closure_Otrancl(_u15655, _u15658))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15660, _u15660)), hAPP(hAPP(c_Product__Type_OPair(_u15660, _u15660), _u15661), _u15662)), _u15663)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15660, _u15660)), hAPP(hAPP(c_Product__Type_OPair(_u15660, _u15660), _u15662), _u15664)), _u15663)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15660, _u15660)), hAPP(hAPP(c_Product__Type_OPair(_u15660, _u15660), _u15661), _u15664)), c_Transitive__Closure_Otrancl(_u15660, _u15663))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15665, _u15665)), _u15666), c_Transitive__Closure_Otrancl(_u15665, _u15667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15665, _u15665), tc_HOL_Obool)), _u15667), _u15668)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15665, _u15665)), _u15666), c_Transitive__Closure_Otrancl(_u15665, _u15668))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__unfold ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__unfold-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15669, _u15670) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15669, _u15669), tc_HOL_Obool)), _u15670), hAPP(hAPP(c_Relation_Orel__comp(_u15669, _u15669, _u15669), c_Transitive__Closure_Otrancl(_u15669, _u15670)), _u15670))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__subset__Sigma ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15671, _u15671), tc_HOL_Obool)), _u15672), hAPP(hAPP(c_Product__Type_OSigma(_u15671, _u15671), _u15673), hAPP(c_COMBK(tc_fun(_u15671, tc_HOL_Obool), _u15671), _u15673)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15671, _u15671), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15671, _u15672)), hAPP(hAPP(c_Product__Type_OSigma(_u15671, _u15671), _u15673), hAPP(c_COMBK(tc_fun(_u15671, tc_HOL_Obool), _u15671), _u15673)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__Int__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15674, _u15674), tc_HOL_Obool)), _u15675), _u15676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15674, _u15674), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15674, _u15674, _u15674), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15674, _u15674), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15674, _u15675)), _u15676)), _u15675)), _u15676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15674, _u15674), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15674, _u15675)), _u15676)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__insert ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__insert-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15677, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15677, _u15677)), hAPP(hAPP(c_Product__Type_OPair(_u15677, _u15677), _u15678), _u15679)), _u15680)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15677, _u15677), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15677, _u15680)), hAPP(c_Set_OCollect(tc_prod(_u15677, _u15677)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15677, _u15677, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15677, tc_fun(_u15677, tc_HOL_Obool), tc_fun(_u15677, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15677, tc_HOL_Obool), tc_fun(_u15677, tc_HOL_Obool)), _u15677), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15677)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15677), c_fconj), hAPP(hAPP(c_COMBC(_u15677, tc_fun(tc_prod(_u15677, _u15677), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u15677, _u15677), tc_fun(tc_fun(tc_prod(_u15677, _u15677), tc_HOL_Obool), tc_HOL_Obool), _u15677), c_member(tc_prod(_u15677, _u15677))), hAPP(hAPP(c_COMBC(_u15677, _u15677, tc_prod(_u15677, _u15677)), c_Product__Type_OPair(_u15677, _u15677)), _u15678))), c_Transitive__Closure_Ortrancl(_u15677, _u15680))))), hAPP(hAPP(c_COMBC(_u15677, tc_fun(tc_prod(_u15677, _u15677), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u15677, _u15677), tc_fun(tc_fun(tc_prod(_u15677, _u15677), tc_HOL_Obool), tc_HOL_Obool), _u15677), c_member(tc_prod(_u15677, _u15677))), hAPP(c_Product__Type_OPair(_u15677, _u15677), _u15679))), c_Transitive__Closure_Ortrancl(_u15677, _u15680))))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_reflcl__set__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_reflcl__set__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15685, tc_fun(_u15685, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u15685, tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool), tc_fun(_u15685, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15685, tc_fun(tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool), tc_fun(_u15685, tc_HOL_Obool)), _u15685), c_COMBC(_u15685, tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15685, tc_prod(_u15685, _u15685)), tc_fun(_u15685, tc_fun(tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool), tc_HOL_Obool)), _u15685), hAPP(c_COMBB(tc_prod(_u15685, _u15685), tc_fun(tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool), tc_HOL_Obool), _u15685), c_member(tc_prod(_u15685, _u15685)))), c_Product__Type_OPair(_u15685, _u15685)))), _u15687)), c_fequal), _u15689), _u15691)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15685, _u15685)), hAPP(hAPP(c_Product__Type_OPair(_u15685, _u15685), _u15689), _u15691)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool)), _u15687), c_Relation_OId(_u15685)))) )).
% 27.68/27.90 cnf(fact_reflcl__set__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15686, _u15686)), hAPP(hAPP(c_Product__Type_OPair(_u15686, _u15686), _u15690), _u15692)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool)), _u15688), c_Relation_OId(_u15686)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15686, tc_fun(_u15686, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u15686, tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool), tc_fun(_u15686, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15686, tc_fun(tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool), tc_fun(_u15686, tc_HOL_Obool)), _u15686), c_COMBC(_u15686, tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15686, tc_prod(_u15686, _u15686)), tc_fun(_u15686, tc_fun(tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool), tc_HOL_Obool)), _u15686), hAPP(c_COMBB(tc_prod(_u15686, _u15686), tc_fun(tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool), tc_HOL_Obool), _u15686), c_member(tc_prod(_u15686, _u15686)))), c_Product__Type_OPair(_u15686, _u15686)))), _u15688)), c_fequal), _u15690), _u15692)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15693, _u15693)), _u15694), _u15695)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15693, _u15693)), _u15694), c_Transitive__Closure_Ortrancl(_u15693, _u15695))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15696, _u15696)), hAPP(hAPP(c_Product__Type_OPair(_u15696, _u15696), _u15697), _u15697)), c_Transitive__Closure_Ortrancl(_u15696, _u15698))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_IdI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_IdI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15699, _u15699)), hAPP(hAPP(c_Product__Type_OPair(_u15699, _u15699), _u15700), _u15700)), c_Relation_OId(_u15699))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15701, _u15701)), hAPP(hAPP(c_Product__Type_OPair(_u15701, _u15701), _u15702), _u15703)), c_Transitive__Closure_Otrancl(_u15701, _u15704))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15701, _u15701)), hAPP(hAPP(c_Product__Type_OPair(_u15701, _u15701), _u15702), _u15703)), c_Transitive__Closure_Ortrancl(_u15701, _u15704))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15705, c_Transitive__Closure_Ortrancl(_u15705, _u15706)) = c_Transitive__Closure_Ortrancl(_u15705, _u15706)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15707, c_Transitive__Closure_Otrancl(_u15707, _u15708)) = c_Transitive__Closure_Ortrancl(_u15707, _u15708)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_reflcl__trancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_reflcl__trancl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15709, _u15709), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15709, _u15710)), c_Relation_OId(_u15709)) = c_Transitive__Closure_Ortrancl(_u15709, _u15710)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__reflcl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15711, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15711, _u15711), tc_HOL_Obool)), _u15712), c_Relation_OId(_u15711))) = c_Transitive__Closure_Ortrancl(_u15711, _u15712)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__unfold__left ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__unfold__left-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15713, _u15714) = hAPP(hAPP(c_Relation_Orel__comp(_u15713, _u15713, _u15713), _u15714), c_Transitive__Closure_Ortrancl(_u15713, _u15714))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__unfold__right ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__unfold__right-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15715, _u15716) = hAPP(hAPP(c_Relation_Orel__comp(_u15715, _u15715, _u15715), c_Transitive__Closure_Ortrancl(_u15715, _u15716)), _u15716)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Domain__rtrancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Domain__rtrancl-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15717, _u15717), c_Transitive__Closure_Ortrancl(_u15717, _u15718)) = c_Orderings_Otop__class_Otop(tc_fun(_u15717, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Range__rtrancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Range__rtrancl-1, axiom, ( ( hAPP(c_Relation_ORange(_u15719, _u15719), c_Transitive__Closure_Ortrancl(_u15719, _u15720)) = c_Orderings_Otop__class_Otop(tc_fun(_u15719, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__empty-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15721, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15721, _u15721), tc_HOL_Obool))) = c_Relation_OId(_u15721)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__Int__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15722, _u15722), tc_HOL_Obool)), c_Relation_OId(_u15722)), _u15723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15722, _u15722), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15722, _u15722, _u15722), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15722, _u15722), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15722, _u15724)), _u15723)), _u15724)), _u15723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15722, _u15722), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15722, _u15724)), _u15723)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__idemp__self__comp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__idemp__self__comp-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15725, _u15725, _u15725), c_Transitive__Closure_Ortrancl(_u15725, _u15726)), c_Transitive__Closure_Ortrancl(_u15725, _u15726)) = c_Transitive__Closure_Ortrancl(_u15725, _u15726)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_r__comp__rtrancl__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_r__comp__rtrancl__eq-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15727, _u15727, _u15727), _u15728), c_Transitive__Closure_Ortrancl(_u15727, _u15728)) = hAPP(hAPP(c_Relation_Orel__comp(_u15727, _u15727, _u15727), c_Transitive__Closure_Ortrancl(_u15727, _u15728)), _u15728)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__unfold ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__unfold-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15729, _u15730) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15729, _u15729), tc_HOL_Obool)), c_Relation_OId(_u15729)), hAPP(hAPP(c_Relation_Orel__comp(_u15729, _u15729, _u15729), c_Transitive__Closure_Ortrancl(_u15729, _u15730)), _u15730))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_in__rtrancl__UnI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_in__rtrancl__UnI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15731, _u15731)), _u15732), c_Transitive__Closure_Ortrancl(_u15731, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15731, _u15731), tc_HOL_Obool)), _u15733), _u15734)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15731, _u15731)), _u15732), c_Transitive__Closure_Ortrancl(_u15731, _u15733))) )).
% 27.68/27.90 cnf(fact_in__rtrancl__UnI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15731, _u15731)), _u15732), c_Transitive__Closure_Ortrancl(_u15731, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15731, _u15731), tc_HOL_Obool)), _u15733), _u15734)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15731, _u15731)), _u15732), c_Transitive__Closure_Ortrancl(_u15731, _u15734))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Image__closed__trancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Image__closed__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15735, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15735, _u15735, _u15736), _u15737)), _u15737)) | ( hAPP(c_Relation_OImage(_u15735, _u15735, c_Transitive__Closure_Ortrancl(_u15735, _u15736)), _u15737) = _u15737) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15738, _u15738), tc_HOL_Obool)), _u15739), _u15740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15738, _u15738), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15738, _u15739)), c_Transitive__Closure_Ortrancl(_u15738, _u15740))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15741, _u15741), tc_HOL_Obool)), _u15742), _u15743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15741, _u15741), tc_HOL_Obool)), _u15743), c_Transitive__Closure_Ortrancl(_u15741, _u15742))) | ( c_Transitive__Closure_Ortrancl(_u15741, _u15743) = c_Transitive__Closure_Ortrancl(_u15741, _u15742)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15744, _u15744), tc_HOL_Obool)), _u15745), c_Transitive__Closure_Ortrancl(_u15744, _u15746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15744, _u15744), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15744, _u15745)), c_Transitive__Closure_Ortrancl(_u15744, _u15746))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__reflcl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15747, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15747, _u15747), tc_HOL_Obool)), _u15748), c_Relation_OId(_u15747))) = c_Transitive__Closure_Ortrancl(_u15747, _u15748)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__Un__rtrancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__Un__rtrancl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15749, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15749, _u15749), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15749, _u15750)), c_Transitive__Closure_Ortrancl(_u15749, _u15751))) = c_Transitive__Closure_Ortrancl(_u15749, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15749, _u15749), tc_HOL_Obool)), _u15750), _u15751))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__reflcl__absorb ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__reflcl__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15752, _u15752), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15752, _u15753)), c_Relation_OId(_u15752)) = c_Transitive__Closure_Ortrancl(_u15752, _u15753)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__Un__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15754, _u15754), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15754, _u15754), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15754, _u15755)), c_Transitive__Closure_Ortrancl(_u15754, _u15756))), c_Transitive__Closure_Ortrancl(_u15754, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15754, _u15754), tc_HOL_Obool)), _u15755), _u15756)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15757, c_Transitive__Closure_Ortrancl(_u15757, _u15758)) = c_Transitive__Closure_Ortrancl(_u15757, _u15758)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15759, _u15759)), hAPP(hAPP(c_Product__Type_OPair(_u15759, _u15759), _u15760), _u15761)), c_Transitive__Closure_Ortrancl(_u15759, _u15762))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15759, _u15759)), hAPP(hAPP(c_Product__Type_OPair(_u15759, _u15759), _u15761), _u15763)), c_Transitive__Closure_Ortrancl(_u15759, _u15762))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15759, _u15759)), hAPP(hAPP(c_Product__Type_OPair(_u15759, _u15759), _u15760), _u15763)), c_Transitive__Closure_Ortrancl(_u15759, _u15762))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15764, _u15764)), hAPP(hAPP(c_Product__Type_OPair(_u15764, _u15764), _u15765), _u15766)), c_Transitive__Closure_Ortrancl(_u15764, _u15767))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15764, _u15764)), hAPP(hAPP(c_Product__Type_OPair(_u15764, _u15764), _u15766), _u15768)), _u15767)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15764, _u15764)), hAPP(hAPP(c_Product__Type_OPair(_u15764, _u15764), _u15765), _u15768)), c_Transitive__Closure_Ortrancl(_u15764, _u15767))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15769, _u15769)), hAPP(hAPP(c_Product__Type_OPair(_u15769, _u15769), _u15770), _u15771)), _u15772)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15769, _u15769)), hAPP(hAPP(c_Product__Type_OPair(_u15769, _u15769), _u15771), _u15773)), c_Transitive__Closure_Ortrancl(_u15769, _u15772))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15769, _u15769)), hAPP(hAPP(c_Product__Type_OPair(_u15769, _u15769), _u15770), _u15773)), c_Transitive__Closure_Ortrancl(_u15769, _u15772))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__r__diff__Id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__r__diff__Id-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15774, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15774, _u15774), tc_HOL_Obool)), _u15775), c_Relation_OId(_u15774))) = c_Transitive__Closure_Ortrancl(_u15774, _u15775)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__rtrancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__rtrancl-1, axiom, ( c_Relation_Orefl__on(_u15776, c_Orderings_Otop__class_Otop(tc_fun(_u15776, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15776, _u15777)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Image__Id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Image__Id-1, axiom, ( ( hAPP(c_Relation_OImage(_u15778, _u15778, c_Relation_OId(_u15778)), _u15779) = _u15779) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_R__O__Id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_R__O__Id-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15780, _u15781, _u15781), _u15782), c_Relation_OId(_u15781)) = _u15782) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Id__O__R ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Id__O__R-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15783, _u15783, _u15784), c_Relation_OId(_u15783)), _u15785) = _u15785) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_pair__in__Id__conv ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_pair__in__Id__conv-1, axiom, ( ( _u15791 = _u15793) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15789, _u15789)), hAPP(hAPP(c_Product__Type_OPair(_u15789, _u15789), _u15791), _u15793)), c_Relation_OId(_u15789))) )).
% 27.68/27.90 cnf(fact_pair__in__Id__conv-2, axiom, ( ( _u15792 != _u15794) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15790, _u15790)), hAPP(hAPP(c_Product__Type_OPair(_u15790, _u15790), _u15792), _u15794)), c_Relation_OId(_u15790))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15795, _u15795)), hAPP(hAPP(c_Product__Type_OPair(_u15795, _u15795), _u15796), _u15797)), c_Transitive__Closure_Ortrancl(_u15795, _u15798))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15795, _u15795)), hAPP(hAPP(c_Product__Type_OPair(_u15795, _u15795), _u15797), _u15799)), c_Transitive__Closure_Otrancl(_u15795, _u15798))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15795, _u15795)), hAPP(hAPP(c_Product__Type_OPair(_u15795, _u15795), _u15796), _u15799)), c_Transitive__Closure_Otrancl(_u15795, _u15798))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15800, _u15800)), hAPP(hAPP(c_Product__Type_OPair(_u15800, _u15800), _u15801), _u15802)), c_Transitive__Closure_Otrancl(_u15800, _u15803))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15800, _u15800)), hAPP(hAPP(c_Product__Type_OPair(_u15800, _u15800), _u15802), _u15804)), c_Transitive__Closure_Ortrancl(_u15800, _u15803))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15800, _u15800)), hAPP(hAPP(c_Product__Type_OPair(_u15800, _u15800), _u15801), _u15804)), c_Transitive__Closure_Otrancl(_u15800, _u15803))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15805, _u15805)), hAPP(hAPP(c_Product__Type_OPair(_u15805, _u15805), _u15806), _u15807)), c_Transitive__Closure_Ortrancl(_u15805, _u15808))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15805, _u15805)), hAPP(hAPP(c_Product__Type_OPair(_u15805, _u15805), _u15807), _u15809)), _u15808)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15805, _u15805)), hAPP(hAPP(c_Product__Type_OPair(_u15805, _u15805), _u15806), _u15809)), c_Transitive__Closure_Otrancl(_u15805, _u15808))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15810, _u15810)), hAPP(hAPP(c_Product__Type_OPair(_u15810, _u15810), _u15811), _u15812)), c_Transitive__Closure_Ortrancl(_u15810, _u15813))) | ( _u15811 = _u15812) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15810, _u15810)), hAPP(hAPP(c_Product__Type_OPair(_u15810, _u15810), _u15811), _u15812)), c_Transitive__Closure_Otrancl(_u15810, _u15813))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15814, _u15814)), hAPP(hAPP(c_Product__Type_OPair(_u15814, _u15814), _u15815), _u15816)), _u15817)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15814, _u15814)), hAPP(hAPP(c_Product__Type_OPair(_u15814, _u15814), _u15816), _u15818)), c_Transitive__Closure_Ortrancl(_u15814, _u15817))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15814, _u15814)), hAPP(hAPP(c_Product__Type_OPair(_u15814, _u15814), _u15815), _u15818)), c_Transitive__Closure_Otrancl(_u15814, _u15817))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15823, _u15823)), hAPP(hAPP(c_Product__Type_OPair(_u15823, _u15823), _u15825), _u15827)), c_Transitive__Closure_Ortrancl(_u15823, _u15829))) | ( _u15825 = _u15827) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15823, _u15823)), hAPP(hAPP(c_Product__Type_OPair(_u15823, _u15823), _u15825), _u15827)), c_Transitive__Closure_Otrancl(_u15823, _u15829))) )).
% 27.68/27.90 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15824, _u15824)), hAPP(hAPP(c_Product__Type_OPair(_u15824, _u15824), _u15826), _u15828)), c_Transitive__Closure_Ortrancl(_u15824, _u15830))) | ( _u15826 != _u15828) )).
% 27.68/27.90 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15824, _u15824)), hAPP(hAPP(c_Product__Type_OPair(_u15824, _u15824), _u15826), _u15828)), c_Transitive__Closure_Ortrancl(_u15824, _u15830))) | ( _u15826 = _u15828) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15824, _u15824)), hAPP(hAPP(c_Product__Type_OPair(_u15824, _u15824), _u15826), _u15828)), c_Transitive__Closure_Otrancl(_u15824, _u15830))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Domain__Id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Domain__Id-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15831, _u15831), c_Relation_OId(_u15831)) = c_Orderings_Otop__class_Otop(tc_fun(_u15831, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Range__Id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Range__Id-1, axiom, ( ( hAPP(c_Relation_ORange(_u15832, _u15832), c_Relation_OId(_u15832)) = c_Orderings_Otop__class_Otop(tc_fun(_u15832, tc_HOL_Obool))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__Id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__Id-1, axiom, ( c_Relation_Orefl__on(_u15833, c_Orderings_Otop__class_Otop(tc_fun(_u15833, tc_HOL_Obool)), c_Relation_OId(_u15833)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_pair__leq__def ( axiom ) converted to clauses:
% 27.68/27.90 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)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15834), _u15835), hAPP(c_Relation_ODomain(_u15834, _u15834), _u15836))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15834, _u15834)), hAPP(hAPP(c_Product__Type_OPair(_u15834, _u15834), _u15835), _u15837)), c_Transitive__Closure_Ortrancl(_u15834, _u15836))) | ( _u15835 = _u15837) )).
% 27.68/27.90 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15834), _u15835), hAPP(c_Relation_ODomain(_u15834, _u15834), _u15836))) | ( _u15835 != _u15837) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15834, _u15834)), hAPP(hAPP(c_Product__Type_OPair(_u15834, _u15834), _u15835), _u15837)), c_Transitive__Closure_Ortrancl(_u15834, _u15836))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15838, _u15838)), hAPP(hAPP(c_Product__Type_OPair(_u15838, _u15838), _u15839), _u15840)), c_Transitive__Closure_Ortrancl(_u15838, _u15841))) | ~hBOOL(hAPP(hAPP(c_member(_u15838), _u15840), c_Wellfounded_Oacc(_u15838, _u15841))) | hBOOL(hAPP(hAPP(c_member(_u15838), _u15839), c_Wellfounded_Oacc(_u15838, _u15841))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15842), _u15843), c_Wellfounded_Oacc(_u15842, _u15844))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15842, _u15842)), hAPP(hAPP(c_Product__Type_OPair(_u15842, _u15842), _u15845), _u15843)), c_Transitive__Closure_Ortrancl(_u15842, _u15844))) | hBOOL(hAPP(hAPP(c_member(_u15842), _u15845), c_Wellfounded_Oacc(_u15842, _u15844))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__insert ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__insert-1, axiom, ( ~c_Wellfounded_Owf(_u15850, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15850, _u15850)), hAPP(hAPP(c_Product__Type_OPair(_u15850, _u15850), _u15852), _u15854)), _u15856)) | c_Wellfounded_Owf(_u15850, _u15856) )).
% 27.68/27.90 cnf(fact_wf__insert-2, axiom, ( ~c_Wellfounded_Owf(_u15850, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15850, _u15850)), hAPP(hAPP(c_Product__Type_OPair(_u15850, _u15850), _u15852), _u15854)), _u15856)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15850, _u15850)), hAPP(hAPP(c_Product__Type_OPair(_u15850, _u15850), _u15854), _u15852)), c_Transitive__Closure_Ortrancl(_u15850, _u15856))) )).
% 27.68/27.90 cnf(fact_wf__insert-3, axiom, ( ~c_Wellfounded_Owf(_u15851, _u15857) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15851, _u15851)), hAPP(hAPP(c_Product__Type_OPair(_u15851, _u15851), _u15855), _u15853)), c_Transitive__Closure_Ortrancl(_u15851, _u15857))) | c_Wellfounded_Owf(_u15851, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15851, _u15851)), hAPP(hAPP(c_Product__Type_OPair(_u15851, _u15851), _u15853), _u15855)), _u15857)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u15862, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15862, _u15862)), hAPP(hAPP(c_Product__Type_OPair(_u15862, _u15862), _u15864), _u15866)), _u15868)) | c_Wellfounded_Oacyclic(_u15862, _u15868) )).
% 27.68/27.90 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u15862, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15862, _u15862)), hAPP(hAPP(c_Product__Type_OPair(_u15862, _u15862), _u15864), _u15866)), _u15868)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15862, _u15862)), hAPP(hAPP(c_Product__Type_OPair(_u15862, _u15862), _u15866), _u15864)), c_Transitive__Closure_Ortrancl(_u15862, _u15868))) )).
% 27.68/27.90 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u15863, _u15869) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15863, _u15863)), hAPP(hAPP(c_Product__Type_OPair(_u15863, _u15863), _u15867), _u15865)), c_Transitive__Closure_Ortrancl(_u15863, _u15869))) | c_Wellfounded_Oacyclic(_u15863, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15863, _u15863)), hAPP(hAPP(c_Product__Type_OPair(_u15863, _u15863), _u15865), _u15867)), _u15869)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__reflcl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__reflcl-1, axiom, ( c_Relation_Orefl__on(_u15870, c_Orderings_Otop__class_Otop(tc_fun(_u15870, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15870, _u15870), tc_HOL_Obool)), _u15871), c_Relation_OId(_u15870))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Id__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Id__def-1, axiom, ( ( c_Relation_OId(_u15872) = hAPP(c_Set_OCollect(tc_prod(_u15872, _u15872)), hAPP(hAPP(c_COMBB(tc_fun(_u15872, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15872, _u15872)), c_HOL_OEx(_u15872)), hAPP(hAPP(c_COMBC(tc_prod(_u15872, _u15872), tc_fun(_u15872, tc_prod(_u15872, _u15872)), tc_fun(_u15872, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15872, _u15872), tc_HOL_Obool), tc_fun(tc_fun(_u15872, tc_prod(_u15872, _u15872)), tc_fun(_u15872, tc_HOL_Obool)), tc_prod(_u15872, _u15872)), c_COMBB(tc_prod(_u15872, _u15872), tc_HOL_Obool, _u15872)), c_fequal)), hAPP(hAPP(c_COMBS(_u15872, _u15872, tc_prod(_u15872, _u15872)), c_Product__Type_OPair(_u15872, _u15872)), c_COMBI(_u15872)))))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_irrefl__diff__Id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_irrefl__diff__Id-1, axiom, ( c_Relation_Oirrefl(_u15873, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15873, _u15873), tc_HOL_Obool)), _u15874), c_Relation_OId(_u15873))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_pred__nat__trancl__eq__le ( axiom ) converted to clauses:
% 27.68/27.90 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), _u15877), _u15879)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15877), _u15879)) )).
% 27.68/27.90 cnf(fact_pred__nat__trancl__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15878), _u15880)) | 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), _u15878), _u15880)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__subset__Sigma__aux ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__subset__Sigma__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15881, _u15881)), hAPP(hAPP(c_Product__Type_OPair(_u15881, _u15881), _u15882), _u15883)), c_Transitive__Closure_Ortrancl(_u15881, _u15884))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15881, _u15881), tc_HOL_Obool)), _u15884), hAPP(hAPP(c_Product__Type_OSigma(_u15881, _u15881), _u15885), hAPP(c_COMBK(tc_fun(_u15881, tc_HOL_Obool), _u15881), _u15885)))) | ( _u15882 = _u15883) | hBOOL(hAPP(hAPP(c_member(_u15881), _u15882), _u15885)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_irrefl__tranclI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_irrefl__tranclI-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15886, _u15886), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15886, _u15886), _u15887)), c_Transitive__Closure_Ortrancl(_u15886, _u15887)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15886, _u15886), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15886, _u15886)), hAPP(hAPP(c_Product__Type_OPair(_u15886, _u15886), _u15888), _u15888)), c_Transitive__Closure_Otrancl(_u15886, _u15887))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_sequence__trans ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_sequence__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15890, _u15890)), hAPP(hAPP(c_Product__Type_OPair(_u15890, _u15890), hAPP(_u15891, hAPP(c_Nat_OSuc, skolem378(_u15894, _u15893, _u15892, _u15891, _u15890)))), hAPP(_u15891, skolem378(_u15894, _u15893, _u15892, _u15891, _u15890)))), c_Transitive__Closure_Ortrancl(_u15890, _u15892))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15890, _u15890)), hAPP(hAPP(c_Product__Type_OPair(_u15890, _u15890), hAPP(_u15891, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15893), _u15894))), hAPP(_u15891, _u15893))), c_Transitive__Closure_Ortrancl(_u15890, _u15892))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__converse ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__converse-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15895, hAPP(c_Relation_Oconverse(_u15895, _u15895), _u15896)) = hAPP(c_Relation_Oconverse(_u15895, _u15895), c_Transitive__Closure_Ortrancl(_u15895, _u15896))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_converse__Id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_converse__Id-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15897, _u15897), c_Relation_OId(_u15897)) = c_Relation_OId(_u15897)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_acyclic__converse ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_acyclic__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u15900, hAPP(c_Relation_Oconverse(_u15900, _u15900), _u15902)) | c_Wellfounded_Oacyclic(_u15900, _u15902) )).
% 27.68/27.90 cnf(fact_acyclic__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u15901, _u15903) | c_Wellfounded_Oacyclic(_u15901, hAPP(c_Relation_Oconverse(_u15901, _u15901), _u15903)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_converse__rel__comp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_converse__rel__comp-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15904, _u15905), hAPP(hAPP(c_Relation_Orel__comp(_u15904, _u15906, _u15905), _u15907), _u15908)) = hAPP(hAPP(c_Relation_Orel__comp(_u15905, _u15906, _u15904), hAPP(c_Relation_Oconverse(_u15906, _u15905), _u15908)), hAPP(c_Relation_Oconverse(_u15904, _u15906), _u15907))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_converse__Un ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_converse__Un-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15909, _u15910), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15909, _u15910), tc_HOL_Obool)), _u15911), _u15912)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15910, _u15909), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15909, _u15910), _u15911)), hAPP(c_Relation_Oconverse(_u15909, _u15910), _u15912))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__converse ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15916, _u15918)), hAPP(c_Relation_Oconverse(_u15918, _u15916), _u15920))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15918, _u15916)), _u15920)) )).
% 27.68/27.90 cnf(fact_finite__converse-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15919, _u15917)), _u15921)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15917, _u15919)), hAPP(c_Relation_Oconverse(_u15919, _u15917), _u15921))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_converse__Int ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_converse__Int-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15922, _u15923), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15922, _u15923), tc_HOL_Obool)), _u15924), _u15925)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15923, _u15922), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15922, _u15923), _u15924)), hAPP(c_Relation_Oconverse(_u15922, _u15923), _u15925))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_converse__converse ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_converse__converse-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15926, _u15927), hAPP(c_Relation_Oconverse(_u15927, _u15926), _u15928)) = _u15928) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_converse__Id__on ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_converse__Id__on-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15929, _u15929), c_Relation_OId__on(_u15929, _u15930)) = c_Relation_OId__on(_u15929, _u15930)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Field__converse ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Field__converse-1, axiom, ( ( hAPP(c_Relation_OField(_u15931), hAPP(c_Relation_Oconverse(_u15931, _u15931), _u15932)) = hAPP(c_Relation_OField(_u15931), _u15932)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_converse__inv__image ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_converse__inv__image-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15933, _u15933), hAPP(hAPP(c_Relation_Oinv__image(_u15934, _u15933), _u15935), _u15936)) = hAPP(hAPP(c_Relation_Oinv__image(_u15934, _u15933), hAPP(c_Relation_Oconverse(_u15934, _u15934), _u15935)), _u15936)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_converseD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15937, _u15938)), hAPP(hAPP(c_Product__Type_OPair(_u15937, _u15938), _u15939), _u15940)), hAPP(c_Relation_Oconverse(_u15938, _u15937), _u15941))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15938, _u15937)), hAPP(hAPP(c_Product__Type_OPair(_u15938, _u15937), _u15940), _u15939)), _u15941)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_converseI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15942, _u15943)), hAPP(hAPP(c_Product__Type_OPair(_u15942, _u15943), _u15944), _u15945)), _u15946)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15943, _u15942)), hAPP(hAPP(c_Product__Type_OPair(_u15943, _u15942), _u15945), _u15944)), hAPP(c_Relation_Oconverse(_u15942, _u15943), _u15946))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_converse__iff ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_converse__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15952, _u15954)), hAPP(hAPP(c_Product__Type_OPair(_u15952, _u15954), _u15956), _u15958)), hAPP(c_Relation_Oconverse(_u15954, _u15952), _u15960))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15954, _u15952)), hAPP(hAPP(c_Product__Type_OPair(_u15954, _u15952), _u15958), _u15956)), _u15960)) )).
% 27.68/27.90 cnf(fact_converse__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15955, _u15953)), hAPP(hAPP(c_Product__Type_OPair(_u15955, _u15953), _u15959), _u15957)), _u15961)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15953, _u15955)), hAPP(hAPP(c_Product__Type_OPair(_u15953, _u15955), _u15957), _u15959)), hAPP(c_Relation_Oconverse(_u15955, _u15953), _u15961))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__on__converse ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__on__converse-1, axiom, ( ~c_Relation_Orefl__on(_u15965, _u15967, hAPP(c_Relation_Oconverse(_u15965, _u15965), _u15969)) | c_Relation_Orefl__on(_u15965, _u15967, _u15969) )).
% 27.68/27.90 cnf(fact_refl__on__converse-2, axiom, ( ~c_Relation_Orefl__on(_u15966, _u15968, _u15970) | c_Relation_Orefl__on(_u15966, _u15968, hAPP(c_Relation_Oconverse(_u15966, _u15966), _u15970)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_converse__UNION ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_converse__UNION-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15971, _u15972), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15973, tc_fun(tc_prod(_u15971, _u15972), tc_HOL_Obool)), _u15974), _u15975)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15973, tc_fun(tc_prod(_u15972, _u15971), tc_HOL_Obool)), _u15974), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15971, _u15972), tc_HOL_Obool), tc_fun(tc_prod(_u15972, _u15971), tc_HOL_Obool), _u15973), c_Relation_Oconverse(_u15971, _u15972)), _u15975))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_equiv__comp__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_equiv__comp__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u15976, _u15977, _u15978) | ( hAPP(hAPP(c_Relation_Orel__comp(_u15976, _u15976, _u15976), hAPP(c_Relation_Oconverse(_u15976, _u15976), _u15978)), _u15978) = _u15978) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Range__converse ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Range__converse-1, axiom, ( ( hAPP(c_Relation_ORange(_u15979, _u15980), hAPP(c_Relation_Oconverse(_u15980, _u15979), _u15981)) = hAPP(c_Relation_ODomain(_u15980, _u15979), _u15981)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Domain__converse ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Domain__converse-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15982, _u15983), hAPP(c_Relation_Oconverse(_u15983, _u15982), _u15984)) = hAPP(c_Relation_ORange(_u15983, _u15982), _u15984)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Range__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Range__def-1, axiom, ( ( hAPP(c_Relation_ORange(_u15985, _u15986), _u15987) = hAPP(c_Relation_ODomain(_u15986, _u15985), hAPP(c_Relation_Oconverse(_u15985, _u15986), _u15987))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__converse ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__converse-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15988, hAPP(c_Relation_Oconverse(_u15988, _u15988), _u15989)) = hAPP(c_Relation_Oconverse(_u15988, _u15988), c_Transitive__Closure_Otrancl(_u15988, _u15989))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__converse__trancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__converse__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u15990, hAPP(c_Relation_Oconverse(_u15990, _u15990), _u15991)) | c_Wellfounded_Owf(_u15990, hAPP(c_Relation_Oconverse(_u15990, _u15990), c_Transitive__Closure_Otrancl(_u15990, _u15991))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__converseI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15992, _u15992)), hAPP(hAPP(c_Product__Type_OPair(_u15992, _u15992), _u15993), _u15994)), c_Transitive__Closure_Ortrancl(_u15992, _u15995))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15992, _u15992)), hAPP(hAPP(c_Product__Type_OPair(_u15992, _u15992), _u15994), _u15993)), c_Transitive__Closure_Ortrancl(_u15992, hAPP(c_Relation_Oconverse(_u15992, _u15992), _u15995)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__converseD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15996, _u15996)), hAPP(hAPP(c_Product__Type_OPair(_u15996, _u15996), _u15997), _u15998)), c_Transitive__Closure_Ortrancl(_u15996, hAPP(c_Relation_Oconverse(_u15996, _u15996), _u15999)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15996, _u15996)), hAPP(hAPP(c_Product__Type_OPair(_u15996, _u15996), _u15998), _u15997)), c_Transitive__Closure_Ortrancl(_u15996, _u15999))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__converseI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16000, _u16000)), hAPP(hAPP(c_Product__Type_OPair(_u16000, _u16000), _u16001), _u16002)), hAPP(c_Relation_Oconverse(_u16000, _u16000), c_Transitive__Closure_Otrancl(_u16000, _u16003)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16000, _u16000)), hAPP(hAPP(c_Product__Type_OPair(_u16000, _u16000), _u16001), _u16002)), c_Transitive__Closure_Otrancl(_u16000, hAPP(c_Relation_Oconverse(_u16000, _u16000), _u16003)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__converseD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16004, _u16004)), hAPP(hAPP(c_Product__Type_OPair(_u16004, _u16004), _u16005), _u16006)), c_Transitive__Closure_Otrancl(_u16004, hAPP(c_Relation_Oconverse(_u16004, _u16004), _u16007)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16004, _u16004)), hAPP(hAPP(c_Product__Type_OPair(_u16004, _u16004), _u16005), _u16006)), hAPP(c_Relation_Oconverse(_u16004, _u16004), c_Transitive__Closure_Otrancl(_u16004, _u16007)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Image__subset__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Image__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16013, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16015, _u16013, _u16017), _u16019)), _u16021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16015, tc_HOL_Obool)), _u16019), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16015, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16013, _u16015, hAPP(c_Relation_Oconverse(_u16015, _u16013), _u16017)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16013, tc_HOL_Obool)), _u16021))))) )).
% 27.68/27.90 cnf(fact_Image__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16016, tc_HOL_Obool)), _u16020), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16016, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16014, _u16016, hAPP(c_Relation_Oconverse(_u16016, _u16014), _u16018)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16014, tc_HOL_Obool)), _u16022))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16014, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16016, _u16014, _u16018), _u16020)), _u16022)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_refl__on__comp__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_refl__on__comp__subset-1, axiom, ( ~c_Relation_Orefl__on(_u16023, _u16024, _u16025) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16023, _u16023), tc_HOL_Obool)), _u16025), hAPP(hAPP(c_Relation_Orel__comp(_u16023, _u16023, _u16023), hAPP(c_Relation_Oconverse(_u16023, _u16023), _u16025)), _u16025))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_comp__equivI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_comp__equivI-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u16026, _u16026, _u16026), hAPP(c_Relation_Oconverse(_u16026, _u16026), _u16027)), _u16027) != _u16027) | ( hAPP(c_Relation_ODomain(_u16026, _u16026), _u16027) != _u16028) | c_Equiv__Relations_Oequiv(_u16026, _u16028, _u16027) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_finite__acyclic__wf__converse ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_finite__acyclic__wf__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16029, _u16029)), _u16030)) | ~c_Wellfounded_Oacyclic(_u16029, _u16030) | c_Wellfounded_Owf(_u16029, hAPP(c_Relation_Oconverse(_u16029, _u16029), _u16030)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_converse__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_converse__def-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u16031, _u16032), _u16033) = hAPP(c_Set_OCollect(tc_prod(_u16032, _u16031)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16032, _u16031, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16032, tc_fun(tc_prod(_u16031, _u16032), tc_HOL_Obool), tc_fun(_u16031, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16031, tc_fun(tc_fun(tc_prod(_u16031, _u16032), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16031, _u16032), tc_HOL_Obool), tc_fun(_u16031, tc_HOL_Obool)), _u16032), c_COMBC(_u16031, tc_fun(tc_prod(_u16031, _u16032), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16031, tc_prod(_u16031, _u16032)), tc_fun(_u16031, tc_fun(tc_fun(tc_prod(_u16031, _u16032), tc_HOL_Obool), tc_HOL_Obool)), _u16032), hAPP(c_COMBB(tc_prod(_u16031, _u16032), tc_fun(tc_fun(tc_prod(_u16031, _u16032), tc_HOL_Obool), tc_HOL_Obool), _u16031), c_member(tc_prod(_u16031, _u16032)))), hAPP(c_COMBC(_u16031, _u16032, tc_prod(_u16031, _u16032)), c_Product__Type_OPair(_u16031, _u16032))))), _u16033)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_total__on__diff__Id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_total__on__diff__Id-1, axiom, ( ~c_Relation_Ototal__on(_u16037, _u16039, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16037, _u16037), tc_HOL_Obool)), _u16041), c_Relation_OId(_u16037))) | c_Relation_Ototal__on(_u16037, _u16039, _u16041) )).
% 27.68/27.90 cnf(fact_total__on__diff__Id-2, axiom, ( ~c_Relation_Ototal__on(_u16038, _u16040, _u16042) | c_Relation_Ototal__on(_u16038, _u16040, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16038, _u16038), tc_HOL_Obool)), _u16042), c_Relation_OId(_u16038))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__imp__UN__rel__pow ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__imp__UN__rel__pow-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16043, _u16043)), _u16044), c_Transitive__Closure_Ortrancl(_u16043, _u16045))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16043, _u16043)), _u16044), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u16043, _u16043), 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(_u16043, _u16043), tc_HOL_Obool), tc_fun(tc_prod(_u16043, _u16043), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u16043, _u16043), tc_HOL_Obool)), _u16045)))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_relpow_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_relpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16046, _u16046), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16047) = c_Relation_OId(_u16046)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__power ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16053, _u16053)), _u16055), c_Transitive__Closure_Ortrancl(_u16053, _u16057))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16053, _u16053)), _u16055), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16053, _u16053), tc_HOL_Obool), skolem379(_u16057, _u16055, _u16053)), _u16057))) )).
% 27.68/27.90 cnf(fact_rtrancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16054, _u16054)), _u16056), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16054, _u16054), tc_HOL_Obool), _u16049), _u16058))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16054, _u16054)), _u16056), c_Transitive__Closure_Ortrancl(_u16054, _u16058))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__pow__imp__rtrancl ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__pow__imp__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16059, _u16059)), _u16060), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16059, _u16059), tc_HOL_Obool), _u16061), _u16062))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16059, _u16059)), _u16060), c_Transitive__Closure_Ortrancl(_u16059, _u16062))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__pow__commute ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__pow__commute-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u16063, _u16063, _u16063), _u16064), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16063, _u16063), tc_HOL_Obool), _u16065), _u16064)) = hAPP(hAPP(c_Relation_Orel__comp(_u16063, _u16063, _u16063), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16063, _u16063), tc_HOL_Obool), _u16065), _u16064)), _u16064)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_relpow_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_relpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16066, _u16066), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16067)), _u16068) = hAPP(hAPP(c_Relation_Orel__comp(_u16066, _u16066, _u16066), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16066, _u16066), tc_HOL_Obool), _u16067), _u16068)), _u16068)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__pow__add ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__pow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16069, _u16069), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16070), _u16071)), _u16072) = hAPP(hAPP(c_Relation_Orel__comp(_u16069, _u16069, _u16069), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16069, _u16069), tc_HOL_Obool), _u16070), _u16072)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16069, _u16069), tc_HOL_Obool), _u16071), _u16072))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__pow__1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__pow__1-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16073, _u16073), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u16074) = _u16074) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_wf__exp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_wf__exp-1, axiom, ( ~c_Wellfounded_Owf(_u16075, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16075, _u16075), tc_HOL_Obool), _u16076), _u16077)) | c_Wellfounded_Owf(_u16075, _u16077) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_funpow__swap1 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_funpow__swap1-1, axiom, ( ( hAPP(_u16078, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u16079, _u16079), _u16080), _u16078), _u16081)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u16079, _u16079), _u16080), _u16078), hAPP(_u16078, _u16081))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_funpow__mult ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_funpow__mult-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16082, _u16082), _u16083), hAPP(hAPP(c_Nat_Ocompow(_u16082, _u16082), _u16084), _u16085)) = hAPP(hAPP(c_Nat_Ocompow(_u16082, _u16082), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16084), _u16083)), _u16085)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_comp__funpow ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_comp__funpow-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u16086, _u16087), tc_fun(_u16086, _u16087)), _u16088), c_Fun_Ocomp(_u16087, _u16087, _u16086, _u16089)) = c_Fun_Ocomp(_u16087, _u16087, _u16086, hAPP(hAPP(c_Nat_Ocompow(_u16087, _u16087), _u16088), _u16089))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u16090, c_Orderings_Obot__class_Obot(tc_fun(_u16090, tc_HOL_Obool)), _u16091) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_total__on__converse ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_total__on__converse-1, axiom, ( ~c_Relation_Ototal__on(_u16095, _u16097, hAPP(c_Relation_Oconverse(_u16095, _u16095), _u16099)) | c_Relation_Ototal__on(_u16095, _u16097, _u16099) )).
% 27.68/27.90 cnf(fact_total__on__converse-2, axiom, ( ~c_Relation_Ototal__on(_u16096, _u16098, _u16100) | c_Relation_Ototal__on(_u16096, _u16098, hAPP(c_Relation_Oconverse(_u16096, _u16096), _u16100)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__pow__0__E ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__pow__0__E-1, axiom, ( ( _u16102 = _u16103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16101, _u16101)), hAPP(hAPP(c_Product__Type_OPair(_u16101, _u16101), _u16102), _u16103)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16101, _u16101), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16104))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__pow__0__I ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__pow__0__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u16105, _u16105)), hAPP(hAPP(c_Product__Type_OPair(_u16105, _u16105), _u16106), _u16106)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16105, _u16105), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16107))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__pow__Suc__I ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__pow__Suc__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16108, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16108, _u16108), _u16109), _u16110)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16108, _u16108), tc_HOL_Obool), _u16111), _u16112))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16108, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16108, _u16108), _u16110), _u16113)), _u16112)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16108, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16108, _u16108), _u16109), _u16113)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16108, _u16108), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16111)), _u16112))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__pow__Suc__I2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__pow__Suc__I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16114, _u16114)), hAPP(hAPP(c_Product__Type_OPair(_u16114, _u16114), _u16115), _u16116)), _u16117)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16114, _u16114)), hAPP(hAPP(c_Product__Type_OPair(_u16114, _u16114), _u16116), _u16118)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16114, _u16114), tc_HOL_Obool), _u16119), _u16117))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16114, _u16114)), hAPP(hAPP(c_Product__Type_OPair(_u16114, _u16114), _u16115), _u16118)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16114, _u16114), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16119)), _u16117))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_funpow_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_funpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16120, _u16120), hAPP(c_Nat_OSuc, _u16121)), _u16122) = hAPP(c_Fun_Ocomp(_u16120, _u16120, _u16120, _u16122), hAPP(hAPP(c_Nat_Ocompow(_u16120, _u16120), _u16121), _u16122))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_funpow__add ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_funpow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16123, _u16123), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16124), _u16125)), _u16126) = hAPP(c_Fun_Ocomp(_u16123, _u16123, _u16123, hAPP(hAPP(c_Nat_Ocompow(_u16123, _u16123), _u16124), _u16126)), hAPP(hAPP(c_Nat_Ocompow(_u16123, _u16123), _u16125), _u16126))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_funpow_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_funpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16127, _u16127), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16128) = c_Fun_Oid(_u16127)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_trancl__power ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_trancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16134, _u16134)), _u16136), c_Transitive__Closure_Otrancl(_u16134, _u16138))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem380(_u16138, _u16136, _u16134))) )).
% 27.68/27.90 cnf(fact_trancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16134, _u16134)), _u16136), c_Transitive__Closure_Otrancl(_u16134, _u16138))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16134, _u16134)), _u16136), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16134, _u16134), tc_HOL_Obool), skolem380(_u16138, _u16136, _u16134)), _u16138))) )).
% 27.68/27.90 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)), _u16130)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16135, _u16135)), _u16137), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16135, _u16135), tc_HOL_Obool), _u16130), _u16139))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16135, _u16135)), _u16137), c_Transitive__Closure_Otrancl(_u16135, _u16139))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u16147, _u16149, _u16151) | ~hBOOL(hAPP(hAPP(c_member(_u16147), _u16141), _u16149)) | ~hBOOL(hAPP(hAPP(c_member(_u16147), _u16140), _u16149)) | ( _u16141 = _u16140) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16147, _u16147)), hAPP(hAPP(c_Product__Type_OPair(_u16147, _u16147), _u16141), _u16140)), _u16151)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16147, _u16147)), hAPP(hAPP(c_Product__Type_OPair(_u16147, _u16147), _u16140), _u16141)), _u16151)) )).
% 27.68/27.90 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u16148, _u16150, _u16152) | hBOOL(hAPP(hAPP(c_member(_u16148), skolem381(_u16152, _u16150, _u16148)), _u16150)) )).
% 27.68/27.90 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u16148, _u16150, _u16152) | hBOOL(hAPP(hAPP(c_member(_u16148), skolem382(_u16152, _u16150, _u16148)), _u16150)) )).
% 27.68/27.90 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u16148, _u16150, _u16152) | ( skolem381(_u16152, _u16150, _u16148) != skolem382(_u16152, _u16150, _u16148)) )).
% 27.68/27.90 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u16148, _u16150, _u16152) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16148, _u16148)), hAPP(hAPP(c_Product__Type_OPair(_u16148, _u16148), skolem381(_u16152, _u16150, _u16148)), skolem382(_u16152, _u16150, _u16148))), _u16152)) )).
% 27.68/27.90 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u16148, _u16150, _u16152) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16148, _u16148)), hAPP(hAPP(c_Product__Type_OPair(_u16148, _u16148), skolem382(_u16152, _u16150, _u16148)), skolem381(_u16152, _u16150, _u16148))), _u16152)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__is__UN__rel__pow ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__is__UN__rel__pow-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u16153, _u16154) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u16153, _u16153), 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(_u16153, _u16153), tc_HOL_Obool), tc_fun(tc_prod(_u16153, _u16153), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u16153, _u16153), tc_HOL_Obool)), _u16154))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_funpow__code__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_funpow__code__def-1, axiom, ( ( c_Nat_Ofunpow(_u16155) = c_Nat_Ocompow(_u16155, _u16155)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__pow__E ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__pow__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), _u16160)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), _u16161), _u16162))) | ( _u16161 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16161 = hAPP(c_Nat_OSuc, skolem384(_u16162, _u16161, _u16160, _u16159, _u16158))) )).
% 27.68/27.90 cnf(fact_rel__pow__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), _u16160)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), _u16161), _u16162))) | ( _u16161 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), skolem383(_u16162, _u16161, _u16160, _u16159, _u16158))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), skolem384(_u16162, _u16161, _u16160, _u16159, _u16158)), _u16162))) )).
% 27.68/27.90 cnf(fact_rel__pow__E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), _u16160)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), _u16161), _u16162))) | ( _u16161 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), skolem383(_u16162, _u16161, _u16160, _u16159, _u16158)), _u16160)), _u16162)) )).
% 27.68/27.90 cnf(fact_rel__pow__E-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), _u16160)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), _u16161), _u16162))) | ( _u16159 = _u16160) | ( _u16161 = hAPP(c_Nat_OSuc, skolem384(_u16162, _u16161, _u16160, _u16159, _u16158))) )).
% 27.68/27.90 cnf(fact_rel__pow__E-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), _u16160)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), _u16161), _u16162))) | ( _u16159 = _u16160) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), skolem383(_u16162, _u16161, _u16160, _u16159, _u16158))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), skolem384(_u16162, _u16161, _u16160, _u16159, _u16158)), _u16162))) )).
% 27.68/27.90 cnf(fact_rel__pow__E-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), _u16160)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), _u16161), _u16162))) | ( _u16159 = _u16160) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), skolem383(_u16162, _u16161, _u16160, _u16159, _u16158)), _u16160)), _u16162)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__pow__E2 ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__pow__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), _u16168), _u16169))) | ( _u16168 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16168 = hAPP(c_Nat_OSuc, skolem386(_u16169, _u16168, _u16167, _u16166, _u16165))) )).
% 27.68/27.90 cnf(fact_rel__pow__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), _u16168), _u16169))) | ( _u16168 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), skolem385(_u16169, _u16168, _u16167, _u16166, _u16165))), _u16169)) )).
% 27.68/27.90 cnf(fact_rel__pow__E2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), _u16168), _u16169))) | ( _u16168 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), skolem385(_u16169, _u16168, _u16167, _u16166, _u16165)), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), skolem386(_u16169, _u16168, _u16167, _u16166, _u16165)), _u16169))) )).
% 27.68/27.90 cnf(fact_rel__pow__E2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), _u16168), _u16169))) | ( _u16166 = _u16167) | ( _u16168 = hAPP(c_Nat_OSuc, skolem386(_u16169, _u16168, _u16167, _u16166, _u16165))) )).
% 27.68/27.90 cnf(fact_rel__pow__E2-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), _u16168), _u16169))) | ( _u16166 = _u16167) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), skolem385(_u16169, _u16168, _u16167, _u16166, _u16165))), _u16169)) )).
% 27.68/27.90 cnf(fact_rel__pow__E2-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), _u16168), _u16169))) | ( _u16166 = _u16167) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), skolem385(_u16169, _u16168, _u16167, _u16166, _u16165)), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), skolem386(_u16169, _u16168, _u16167, _u16166, _u16165)), _u16169))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u16171, _u16171)), hAPP(hAPP(c_Product__Type_OPair(_u16171, _u16171), skolem387(_u16172, _u16171)), skolem387(_u16172, _u16171))), c_Transitive__Closure_Otrancl(_u16171, _u16172))) | c_Wellfounded_Oacyclic(_u16171, _u16172) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_Image__Int__eq ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_Image__Int__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u16173, _u16174, hAPP(c_Relation_Oconverse(_u16174, _u16173), _u16175)) | ( hAPP(c_Relation_OImage(_u16174, _u16173, _u16175), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16174, tc_HOL_Obool)), _u16176), _u16177)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16173, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16174, _u16173, _u16175), _u16176)), hAPP(c_Relation_OImage(_u16174, _u16173, _u16175), _u16177))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__Un__separator__converseE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__Un__separator__converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), _u16181), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16180, _u16180), tc_HOL_Obool)), _u16183), _u16184)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), _u16181), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, _u16183))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), skolem388(_u16184, _u16183, _u16182, _u16181, _u16180)), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, _u16183))) )).
% 27.68/27.90 cnf(fact_rtrancl__Un__separator__converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), _u16181), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16180, _u16180), tc_HOL_Obool)), _u16183), _u16184)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), _u16181), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, _u16183))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), skolem389(_u16184, _u16183, _u16182, _u16181, _u16180)), skolem388(_u16184, _u16183, _u16182, _u16181, _u16180))), _u16184)) )).
% 27.68/27.90 cnf(fact_rtrancl__Un__separator__converseE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), _u16181), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16180, _u16180), tc_HOL_Obool)), _u16183), _u16184)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), _u16181), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, _u16183))) | ( skolem389(_u16184, _u16183, _u16182, _u16181, _u16180) != skolem388(_u16184, _u16183, _u16182, _u16181, _u16180)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_single__valued__rel__comp ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_single__valued__rel__comp-1, axiom, ( ~c_Relation_Osingle__valued(_u16185, _u16186, _u16187) | ~c_Relation_Osingle__valued(_u16186, _u16188, _u16189) | c_Relation_Osingle__valued(_u16185, _u16188, hAPP(hAPP(c_Relation_Orel__comp(_u16185, _u16186, _u16188), _u16187), _u16189)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_single__valued__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16190, _u16191), tc_HOL_Obool)), _u16192), _u16193)) | ~c_Relation_Osingle__valued(_u16190, _u16191, _u16193) | c_Relation_Osingle__valued(_u16190, _u16191, _u16192) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u16194, _u16194, c_Relation_OId__on(_u16194, _u16195)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_single__valued__Id ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_single__valued__Id-1, axiom, ( c_Relation_Osingle__valued(_u16196, _u16196, c_Relation_OId(_u16196)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_single__valued__rel__pow ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_single__valued__rel__pow-1, axiom, ( ~c_Relation_Osingle__valued(_u16197, _u16197, _u16198) | c_Relation_Osingle__valued(_u16197, _u16197, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16197, _u16197), tc_HOL_Obool), _u16199), _u16198)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u16209, _u16211, _u16213) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16209, _u16211)), hAPP(hAPP(c_Product__Type_OPair(_u16209, _u16211), _u16202), _u16201)), _u16213)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16209, _u16211)), hAPP(hAPP(c_Product__Type_OPair(_u16209, _u16211), _u16202), _u16200)), _u16213)) | ( _u16201 = _u16200) )).
% 27.68/27.90 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u16210, _u16212, _u16214) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16210, _u16212)), hAPP(hAPP(c_Product__Type_OPair(_u16210, _u16212), skolem390(_u16214, _u16212, _u16210)), skolem391(_u16214, _u16212, _u16210))), _u16214)) )).
% 27.68/27.90 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u16210, _u16212, _u16214) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16210, _u16212)), hAPP(hAPP(c_Product__Type_OPair(_u16210, _u16212), skolem390(_u16214, _u16212, _u16210)), skolem392(_u16214, _u16212, _u16210))), _u16214)) )).
% 27.68/27.90 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u16210, _u16212, _u16214) | ( skolem391(_u16214, _u16212, _u16210) != skolem392(_u16214, _u16212, _u16210)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u16215, _u16216, _u16217) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16215, _u16216)), hAPP(hAPP(c_Product__Type_OPair(_u16215, _u16216), _u16218), _u16219)), _u16217)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16215, _u16216)), hAPP(hAPP(c_Product__Type_OPair(_u16215, _u16216), _u16218), _u16220)), _u16217)) | ( _u16219 = _u16220) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u16221, _u16221, _u16222) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16221, _u16221)), hAPP(hAPP(c_Product__Type_OPair(_u16221, _u16221), _u16223), _u16224)), c_Transitive__Closure_Ortrancl(_u16221, _u16222))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16221, _u16221)), hAPP(hAPP(c_Product__Type_OPair(_u16221, _u16221), _u16223), _u16225)), c_Transitive__Closure_Ortrancl(_u16221, _u16222))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16221, _u16221)), hAPP(hAPP(c_Product__Type_OPair(_u16221, _u16221), _u16224), _u16225)), c_Transitive__Closure_Ortrancl(_u16221, _u16222))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16221, _u16221)), hAPP(hAPP(c_Product__Type_OPair(_u16221, _u16221), _u16225), _u16224)), c_Transitive__Closure_Ortrancl(_u16221, _u16222))) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rtrancl__Un__separatorE ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rtrancl__Un__separatorE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), _u16230)), c_Transitive__Closure_Ortrancl(_u16228, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16228, _u16228), tc_HOL_Obool)), _u16231), _u16232)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), _u16230)), c_Transitive__Closure_Ortrancl(_u16228, _u16231))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), skolem393(_u16232, _u16231, _u16230, _u16229, _u16228))), c_Transitive__Closure_Ortrancl(_u16228, _u16231))) )).
% 27.68/27.90 cnf(fact_rtrancl__Un__separatorE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), _u16230)), c_Transitive__Closure_Ortrancl(_u16228, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16228, _u16228), tc_HOL_Obool)), _u16231), _u16232)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), _u16230)), c_Transitive__Closure_Ortrancl(_u16228, _u16231))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), skolem393(_u16232, _u16231, _u16230, _u16229, _u16228)), skolem394(_u16232, _u16231, _u16230, _u16229, _u16228))), _u16232)) )).
% 27.68/27.90 cnf(fact_rtrancl__Un__separatorE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), _u16230)), c_Transitive__Closure_Ortrancl(_u16228, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16228, _u16228), tc_HOL_Obool)), _u16231), _u16232)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), _u16230)), c_Transitive__Closure_Ortrancl(_u16228, _u16231))) | ( skolem393(_u16232, _u16231, _u16230, _u16229, _u16228) != skolem394(_u16232, _u16231, _u16230, _u16229, _u16228)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__pow__Suc__E ( axiom ) converted to clauses:
% 27.68/27.90 cnf(fact_rel__pow__Suc__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16234, _u16234)), hAPP(hAPP(c_Product__Type_OPair(_u16234, _u16234), _u16235), _u16236)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16234, _u16234), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16237)), _u16238))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16234, _u16234)), hAPP(hAPP(c_Product__Type_OPair(_u16234, _u16234), _u16235), skolem395(_u16238, _u16237, _u16236, _u16235, _u16234))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16234, _u16234), tc_HOL_Obool), _u16237), _u16238))) )).
% 27.68/27.90 cnf(fact_rel__pow__Suc__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16234, _u16234)), hAPP(hAPP(c_Product__Type_OPair(_u16234, _u16234), _u16235), _u16236)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16234, _u16234), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16237)), _u16238))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16234, _u16234)), hAPP(hAPP(c_Product__Type_OPair(_u16234, _u16234), skolem395(_u16238, _u16237, _u16236, _u16235, _u16234)), _u16236)), _u16238)) )).
% 27.68/27.90
% 27.68/27.90 % Formula: fact_rel__pow__Suc__D2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rel__pow__Suc__D2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16240, _u16240)), hAPP(hAPP(c_Product__Type_OPair(_u16240, _u16240), _u16241), _u16242)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16240, _u16240), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16243)), _u16244))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16240, _u16240)), hAPP(hAPP(c_Product__Type_OPair(_u16240, _u16240), _u16241), skolem396(_u16244, _u16243, _u16242, _u16241, _u16240))), _u16244)) )).
% 27.68/27.91 cnf(fact_rel__pow__Suc__D2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16240, _u16240)), hAPP(hAPP(c_Product__Type_OPair(_u16240, _u16240), _u16241), _u16242)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16240, _u16240), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16243)), _u16244))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16240, _u16240)), hAPP(hAPP(c_Product__Type_OPair(_u16240, _u16240), skolem396(_u16244, _u16243, _u16242, _u16241, _u16240)), _u16242)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16240, _u16240), tc_HOL_Obool), _u16243), _u16244))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rel__pow__Suc__E2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rel__pow__Suc__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16246, _u16246)), hAPP(hAPP(c_Product__Type_OPair(_u16246, _u16246), _u16247), _u16248)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16246, _u16246), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16249)), _u16250))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16246, _u16246)), hAPP(hAPP(c_Product__Type_OPair(_u16246, _u16246), _u16247), skolem397(_u16250, _u16249, _u16248, _u16247, _u16246))), _u16250)) )).
% 27.68/27.91 cnf(fact_rel__pow__Suc__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16246, _u16246)), hAPP(hAPP(c_Product__Type_OPair(_u16246, _u16246), _u16247), _u16248)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16246, _u16246), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16249)), _u16250))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16246, _u16246)), hAPP(hAPP(c_Product__Type_OPair(_u16246, _u16246), skolem397(_u16250, _u16249, _u16248, _u16247, _u16246)), _u16248)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16246, _u16246), tc_HOL_Obool), _u16249), _u16250))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16252, _u16252)), hAPP(hAPP(c_Product__Type_OPair(_u16252, _u16252), _u16253), _u16254)), c_Transitive__Closure_Otrancl(_u16252, _u16255))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16252, _u16252)), hAPP(hAPP(c_Product__Type_OPair(_u16252, _u16252), _u16253), skolem398(_u16255, _u16254, _u16253, _u16252))), c_Transitive__Closure_Ortrancl(_u16252, _u16255))) )).
% 27.68/27.91 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16252, _u16252)), hAPP(hAPP(c_Product__Type_OPair(_u16252, _u16252), _u16253), _u16254)), c_Transitive__Closure_Otrancl(_u16252, _u16255))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16252, _u16252)), hAPP(hAPP(c_Product__Type_OPair(_u16252, _u16252), skolem398(_u16255, _u16254, _u16253, _u16252)), _u16254)), _u16255)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16257, _u16257)), hAPP(hAPP(c_Product__Type_OPair(_u16257, _u16257), _u16258), _u16259)), c_Transitive__Closure_Otrancl(_u16257, _u16260))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16257, _u16257)), hAPP(hAPP(c_Product__Type_OPair(_u16257, _u16257), _u16258), skolem399(_u16260, _u16259, _u16258, _u16257))), _u16260)) )).
% 27.68/27.91 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16257, _u16257)), hAPP(hAPP(c_Product__Type_OPair(_u16257, _u16257), _u16258), _u16259)), c_Transitive__Closure_Otrancl(_u16257, _u16260))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16257, _u16257)), hAPP(hAPP(c_Product__Type_OPair(_u16257, _u16257), skolem399(_u16260, _u16259, _u16258, _u16257)), _u16259)), c_Transitive__Closure_Ortrancl(_u16257, _u16260))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_IdE ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_IdE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16262, _u16262)), _u16263), c_Relation_OId(_u16262))) | ( _u16263 = hAPP(hAPP(c_Product__Type_OPair(_u16262, _u16262), skolem400(_u16263, _u16262)), skolem400(_u16263, _u16262))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_min__max_OSup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_min__max_OSup__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u16264) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16264), _u16265)) | hBOOL(hAPP(hAPP(c_member(_u16264), _u16266), _u16265)) | ( c_Big__Operators_Olattice_OSup__fin(_u16264, c_Orderings_Oord__class_Omax(_u16264), hAPP(hAPP(c_Set_Oinsert(_u16264), _u16266), _u16265)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16264, _u16264, c_Orderings_Oord__class_Omax(_u16264)), _u16266), _u16265)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fold__empty ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fold__empty-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u16267, _u16268, _u16269), _u16270), c_Orderings_Obot__class_Obot(tc_fun(_u16267, tc_HOL_Obool))) = _u16270) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_folding_Oeq__fold ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_folding_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding(_u16271, _u16272, _u16273, _u16274) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16271), _u16275)) | ( hAPP(hAPP(_u16274, _u16275), _u16276) = hAPP(hAPP(c_Finite__Set_Ofold(_u16271, _u16272, _u16273), _u16276), _u16275)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fold__image__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fold__image__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold__image(_u16277, _u16278, _u16279), _u16280) = c_Finite__Set_Ofold(_u16278, _u16277, hAPP(hAPP(c_COMBB(_u16277, tc_fun(_u16277, _u16277), _u16278), _u16279), _u16280))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fold__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fold__def-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u16281, _u16282, _u16283), _u16284), _u16285) = c_HOL_OThe(_u16282, c_Finite__Set_Ofold__graph(_u16281, _u16282, _u16283, _u16284, _u16285))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_union__fold__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_union__fold__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16286), _u16287)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16286, tc_HOL_Obool)), _u16287), _u16288) = hAPP(hAPP(c_Finite__Set_Ofold(_u16286, tc_fun(_u16286, tc_HOL_Obool), c_Set_Oinsert(_u16286)), _u16288), _u16287)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fold__sup__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fold__sup__insert-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u16289) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16289), _u16290)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16289, _u16289, c_Lattices_Osemilattice__sup__class_Osup(_u16289)), _u16291), hAPP(hAPP(c_Set_Oinsert(_u16289), _u16292), _u16290)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16289), _u16292), hAPP(hAPP(c_Finite__Set_Ofold(_u16289, _u16289, c_Lattices_Osemilattice__sup__class_Osup(_u16289)), _u16291), _u16290))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fold__inf__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fold__inf__insert-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u16293) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16293), _u16294)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16293, _u16293, c_Lattices_Osemilattice__inf__class_Oinf(_u16293)), _u16295), hAPP(hAPP(c_Set_Oinsert(_u16293), _u16296), _u16294)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16293), _u16296), hAPP(hAPP(c_Finite__Set_Ofold(_u16293, _u16293, c_Lattices_Osemilattice__inf__class_Oinf(_u16293)), _u16295), _u16294))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_min__max_Ofold__inf__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_min__max_Ofold__inf__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16297) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16297), _u16298)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16297, _u16297, c_Orderings_Oord__class_Omin(_u16297)), _u16299), hAPP(hAPP(c_Set_Oinsert(_u16297), _u16300), _u16298)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u16297), _u16300), hAPP(hAPP(c_Finite__Set_Ofold(_u16297, _u16297, c_Orderings_Oord__class_Omin(_u16297)), _u16299), _u16298))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_min__max_Ofold__sup__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_min__max_Ofold__sup__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16301), _u16302)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16301, _u16301, c_Orderings_Oord__class_Omax(_u16301)), _u16303), hAPP(hAPP(c_Set_Oinsert(_u16301), _u16304), _u16302)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u16301), _u16304), hAPP(hAPP(c_Finite__Set_Ofold(_u16301, _u16301, c_Orderings_Oord__class_Omax(_u16301)), _u16303), _u16302))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm__idem_Ofold__insert__idem-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16305, _u16306, _u16307) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16305), _u16308)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16305, _u16306, _u16307), _u16309), hAPP(hAPP(c_Set_Oinsert(_u16305), _u16310), _u16308)) = hAPP(hAPP(_u16307, _u16310), hAPP(hAPP(c_Finite__Set_Ofold(_u16305, _u16306, _u16307), _u16309), _u16308))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm__idem_Ofold__insert__idem2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16311, _u16312, _u16313) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16311), _u16314)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16311, _u16312, _u16313), _u16315), hAPP(hAPP(c_Set_Oinsert(_u16311), _u16316), _u16314)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16311, _u16312, _u16313), hAPP(hAPP(_u16313, _u16316), _u16315)), _u16314)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_sup__SUPR__fold__sup ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_sup__SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16317) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16318), _u16319)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16317), _u16320), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16318, _u16317), _u16319), _u16321)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16318, _u16317, hAPP(hAPP(c_COMBB(_u16317, tc_fun(_u16317, _u16317), _u16318), c_Lattices_Osemilattice__sup__class_Osup(_u16317)), _u16321)), _u16320), _u16319)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_folding__one__idem_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_folding__one__idem_Oeq__fold__idem_H-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u16322, _u16323, _u16324) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16322), _u16325)) | ( hAPP(_u16324, hAPP(hAPP(c_Set_Oinsert(_u16322), _u16326), _u16325)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16322, _u16322, _u16323), _u16326), _u16325)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_sup__le__fold__sup ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_sup__le__fold__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u16327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16327), _u16328)) | ~hBOOL(hAPP(hAPP(c_member(_u16327), _u16329), _u16328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16327), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16327), _u16329), _u16330)), hAPP(hAPP(c_Finite__Set_Ofold(_u16327, _u16327, c_Lattices_Osemilattice__sup__class_Osup(_u16327)), _u16330), _u16328))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fold__inf__le__inf ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fold__inf__le__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u16331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16331), _u16332)) | ~hBOOL(hAPP(hAPP(c_member(_u16331), _u16333), _u16332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16331), hAPP(hAPP(c_Finite__Set_Ofold(_u16331, _u16331, c_Lattices_Osemilattice__inf__class_Oinf(_u16331)), _u16334), _u16332)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16331), _u16333), _u16334))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_min__max_Ofold__inf__le__inf ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_min__max_Ofold__inf__le__inf-1, axiom, ( ~class_Orderings_Olinorder(_u16335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16335), _u16336)) | ~hBOOL(hAPP(hAPP(c_member(_u16335), _u16337), _u16336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16335), hAPP(hAPP(c_Finite__Set_Ofold(_u16335, _u16335, c_Orderings_Oord__class_Omin(_u16335)), _u16338), _u16336)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u16335), _u16337), _u16338))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_min__max_Osup__le__fold__sup ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_min__max_Osup__le__fold__sup-1, axiom, ( ~class_Orderings_Olinorder(_u16339) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16339), _u16340)) | ~hBOOL(hAPP(hAPP(c_member(_u16339), _u16341), _u16340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16339), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u16339), _u16341), _u16342)), hAPP(hAPP(c_Finite__Set_Ofold(_u16339, _u16339, c_Orderings_Oord__class_Omax(_u16339)), _u16342), _u16340))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fold1__eq__fold__idem ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fold1__eq__fold__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u16343) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16343), _u16344)) | ( hAPP(c_Finite__Set_Ofold1(_u16343, c_Groups_Otimes__class_Otimes(_u16343)), hAPP(hAPP(c_Set_Oinsert(_u16343), _u16345), _u16344)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16343, _u16343, c_Groups_Otimes__class_Otimes(_u16343)), _u16345), _u16344)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Sup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Sup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u16346) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16346), _u16347)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16346, hAPP(hAPP(c_Set_Oinsert(_u16346), _u16348), _u16347)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16346, _u16346, c_Lattices_Osemilattice__sup__class_Osup(_u16346)), _u16348), _u16347)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u16349) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16349), _u16350)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16349, hAPP(hAPP(c_Set_Oinsert(_u16349), _u16351), _u16350)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16349, _u16349, c_Lattices_Osemilattice__inf__class_Oinf(_u16349)), _u16351), _u16350)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Min_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Min_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u16352) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16352), _u16353)) | ( c_Big__Operators_Olinorder__class_OMin(_u16352, hAPP(hAPP(c_Set_Oinsert(_u16352), _u16354), _u16353)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16352, _u16352, c_Orderings_Oord__class_Omin(_u16352)), _u16354), _u16353)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Max_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Max_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u16355) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16355), _u16356)) | ( c_Big__Operators_Olinorder__class_OMax(_u16355, hAPP(hAPP(c_Set_Oinsert(_u16355), _u16357), _u16356)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16355, _u16355, c_Orderings_Oord__class_Omax(_u16355)), _u16357), _u16356)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_min__max_OInf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_min__max_OInf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u16358) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16358), _u16359)) | ( c_Big__Operators_Olattice_OInf__fin(_u16358, c_Orderings_Oord__class_Omin(_u16358), hAPP(hAPP(c_Set_Oinsert(_u16358), _u16360), _u16359)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16358, _u16358, c_Orderings_Oord__class_Omin(_u16358)), _u16360), _u16359)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_min__max_OSup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_min__max_OSup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u16361) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16361), _u16362)) | ( c_Big__Operators_Olattice_OSup__fin(_u16361, c_Orderings_Oord__class_Omax(_u16361), hAPP(hAPP(c_Set_Oinsert(_u16361), _u16363), _u16362)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16361, _u16361, c_Orderings_Oord__class_Omax(_u16361)), _u16363), _u16362)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_minus__fold__remove ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_minus__fold__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16364), _u16365)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16364, tc_HOL_Obool)), _u16366), _u16365) = hAPP(hAPP(c_Finite__Set_Ofold(_u16364, tc_fun(_u16364, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16364, tc_HOL_Obool), tc_fun(tc_fun(_u16364, tc_HOL_Obool), tc_fun(_u16364, tc_HOL_Obool)), _u16364), hAPP(c_COMBC(tc_fun(_u16364, tc_HOL_Obool), tc_fun(_u16364, tc_HOL_Obool), tc_fun(_u16364, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u16364, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u16364, tc_fun(_u16364, tc_HOL_Obool), tc_fun(_u16364, tc_HOL_Obool)), c_Set_Oinsert(_u16364)), c_Orderings_Obot__class_Obot(tc_fun(_u16364, tc_HOL_Obool))))), _u16366), _u16365)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_folding__one_Oeq__fold_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_folding__one_Oeq__fold_H-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u16367, _u16368, _u16369) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16367), _u16370)) | hBOOL(hAPP(hAPP(c_member(_u16367), _u16371), _u16370)) | ( hAPP(_u16369, hAPP(hAPP(c_Set_Oinsert(_u16367), _u16371), _u16370)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16367, _u16367, _u16368), _u16371), _u16370)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_SUPR__fold__sup ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16373), _u16374)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16373, _u16372), _u16374), _u16375) = hAPP(hAPP(c_Finite__Set_Ofold(_u16373, _u16372, hAPP(hAPP(c_COMBB(_u16372, tc_fun(_u16372, _u16372), _u16373), c_Lattices_Osemilattice__sup__class_Osup(_u16372)), _u16375)), c_Orderings_Obot__class_Obot(_u16372)), _u16374)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fold1__eq__fold ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fold1__eq__fold-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u16376) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16376), _u16377)) | hBOOL(hAPP(hAPP(c_member(_u16376), _u16378), _u16377)) | ( hAPP(c_Finite__Set_Ofold1(_u16376, c_Groups_Otimes__class_Otimes(_u16376)), hAPP(hAPP(c_Set_Oinsert(_u16376), _u16378), _u16377)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16376, _u16376, c_Groups_Otimes__class_Otimes(_u16376)), _u16378), _u16377)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Sup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Sup__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u16379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16379), _u16380)) | hBOOL(hAPP(hAPP(c_member(_u16379), _u16381), _u16380)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16379, hAPP(hAPP(c_Set_Oinsert(_u16379), _u16381), _u16380)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16379, _u16379, c_Lattices_Osemilattice__sup__class_Osup(_u16379)), _u16381), _u16380)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inf__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u16382) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16382), _u16383)) | hBOOL(hAPP(hAPP(c_member(_u16382), _u16384), _u16383)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16382, hAPP(hAPP(c_Set_Oinsert(_u16382), _u16384), _u16383)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16382, _u16382, c_Lattices_Osemilattice__inf__class_Oinf(_u16382)), _u16384), _u16383)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Min_Oeq__fold_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Min_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u16385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16385), _u16386)) | hBOOL(hAPP(hAPP(c_member(_u16385), _u16387), _u16386)) | ( c_Big__Operators_Olinorder__class_OMin(_u16385, hAPP(hAPP(c_Set_Oinsert(_u16385), _u16387), _u16386)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16385, _u16385, c_Orderings_Oord__class_Omin(_u16385)), _u16387), _u16386)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Max_Oeq__fold_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Max_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u16388) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16388), _u16389)) | hBOOL(hAPP(hAPP(c_member(_u16388), _u16390), _u16389)) | ( c_Big__Operators_Olinorder__class_OMax(_u16388, hAPP(hAPP(c_Set_Oinsert(_u16388), _u16390), _u16389)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16388, _u16388, c_Orderings_Oord__class_Omax(_u16388)), _u16390), _u16389)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_min__max_OInf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_min__max_OInf__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u16391) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16391), _u16392)) | hBOOL(hAPP(hAPP(c_member(_u16391), _u16393), _u16392)) | ( c_Big__Operators_Olattice_OInf__fin(_u16391, c_Orderings_Oord__class_Omin(_u16391), hAPP(hAPP(c_Set_Oinsert(_u16391), _u16393), _u16392)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16391, _u16391, c_Orderings_Oord__class_Omin(_u16391)), _u16393), _u16392)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm_Ofold__rec ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm_Ofold__rec-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16394, _u16395, _u16396) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16394), _u16397)) | ~hBOOL(hAPP(hAPP(c_member(_u16394), _u16398), _u16397)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16394, _u16395, _u16396), _u16399), _u16397) = hAPP(hAPP(_u16396, _u16398), hAPP(hAPP(c_Finite__Set_Ofold(_u16394, _u16395, _u16396), _u16399), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16394, tc_HOL_Obool)), _u16397), hAPP(hAPP(c_Set_Oinsert(_u16394), _u16398), c_Orderings_Obot__class_Obot(tc_fun(_u16394, tc_HOL_Obool))))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm_Ofold__insert__remove ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm_Ofold__insert__remove-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16400, _u16401, _u16402) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16400), _u16403)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16400, _u16401, _u16402), _u16404), hAPP(hAPP(c_Set_Oinsert(_u16400), _u16405), _u16403)) = hAPP(hAPP(_u16402, _u16405), hAPP(hAPP(c_Finite__Set_Ofold(_u16400, _u16401, _u16402), _u16404), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16400, tc_HOL_Obool)), _u16403), hAPP(hAPP(c_Set_Oinsert(_u16400), _u16405), c_Orderings_Obot__class_Obot(tc_fun(_u16400, tc_HOL_Obool))))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm_Ofun__left__comm__apply ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm_Ofun__left__comm__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16406, _u16407, _u16408) | c_Finite__Set_Ofun__left__comm(_u16409, _u16407, hAPP(hAPP(c_COMBB(_u16406, tc_fun(_u16407, _u16407), _u16409), _u16408), _u16410)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm_Ofun__left__comm ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm_Ofun__left__comm-1, axiom, ( ( hAPP(hAPP(_u16413, _u16414), hAPP(hAPP(_u16413, _u16415), _u16416)) = hAPP(hAPP(_u16413, _u16415), hAPP(hAPP(_u16413, _u16414), _u16416))) | ~c_Finite__Set_Ofun__left__comm(_u16411, _u16412, _u16413) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u16417) | c_Finite__Set_Ofun__left__comm(_u16417, _u16417, c_Groups_Otimes__class_Otimes(_u16417)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm_Ofold__graph__determ ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm_Ofold__graph__determ-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16418, _u16419, _u16420) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16418, _u16419, _u16420, _u16421, _u16422), _u16423)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16418, _u16419, _u16420, _u16421, _u16422), _u16424)) | ( _u16424 = _u16423) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm_Ofun__comp__comm ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm_Ofun__comp__comm-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u16426, _u16426, _u16426, hAPP(_u16427, _u16428)), hAPP(_u16427, _u16429)) = hAPP(c_Fun_Ocomp(_u16426, _u16426, _u16426, hAPP(_u16427, _u16429)), hAPP(_u16427, _u16428))) | ~c_Finite__Set_Ofun__left__comm(_u16425, _u16426, _u16427) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm_Ofold__fun__comm ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm_Ofold__fun__comm-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16430, _u16431, _u16432) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16430), _u16433)) | ( hAPP(hAPP(_u16432, _u16434), hAPP(hAPP(c_Finite__Set_Ofold(_u16430, _u16431, _u16432), _u16435), _u16433)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16430, _u16431, _u16432), hAPP(hAPP(_u16432, _u16434), _u16435)), _u16433)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm_Ofold__equality ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm_Ofold__equality-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16436, _u16437, _u16438) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16436, _u16437, _u16438, _u16439, _u16440), _u16441)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16436, _u16437, _u16438), _u16439), _u16440) = _u16441) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm_Ofold__graph__fold ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm_Ofold__graph__fold-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16442, _u16443, _u16444) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16442), _u16445)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16442, _u16443, _u16444, _u16446, _u16445), hAPP(hAPP(c_Finite__Set_Ofold(_u16442, _u16443, _u16444), _u16446), _u16445))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm_Ofold__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm_Ofold__insert-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16447, _u16448, _u16449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16447), _u16450)) | hBOOL(hAPP(hAPP(c_member(_u16447), _u16451), _u16450)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16447, _u16448, _u16449), _u16452), hAPP(hAPP(c_Set_Oinsert(_u16447), _u16451), _u16450)) = hAPP(hAPP(_u16449, _u16451), hAPP(hAPP(c_Finite__Set_Ofold(_u16447, _u16448, _u16449), _u16452), _u16450))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm_Ofold__insert2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm_Ofold__insert2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16453, _u16454, _u16455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16453), _u16456)) | hBOOL(hAPP(hAPP(c_member(_u16453), _u16457), _u16456)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16453, _u16454, _u16455), _u16458), hAPP(hAPP(c_Set_Oinsert(_u16453), _u16457), _u16456)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16453, _u16454, _u16455), hAPP(hAPP(_u16455, _u16457), _u16458)), _u16456)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm_Ofold__graph__insertE__aux ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16460, _u16461, _u16462) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16460, _u16461, _u16462, _u16463, _u16464), _u16465)) | ~hBOOL(hAPP(hAPP(c_member(_u16460), _u16466), _u16464)) | ( _u16465 = hAPP(hAPP(_u16462, _u16466), skolem401(_u16466, _u16465, _u16464, _u16463, _u16462, _u16461, _u16460))) )).
% 27.68/27.91 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16460, _u16461, _u16462) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16460, _u16461, _u16462, _u16463, _u16464), _u16465)) | ~hBOOL(hAPP(hAPP(c_member(_u16460), _u16466), _u16464)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16460, _u16461, _u16462, _u16463, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16460, tc_HOL_Obool)), _u16464), hAPP(hAPP(c_Set_Oinsert(_u16460), _u16466), c_Orderings_Obot__class_Obot(tc_fun(_u16460, tc_HOL_Obool))))), skolem401(_u16466, _u16465, _u16464, _u16463, _u16462, _u16461, _u16460))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INFI__fold__inf ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16468), _u16469)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16468, _u16467), _u16469), _u16470) = hAPP(hAPP(c_Finite__Set_Ofold(_u16468, _u16467, hAPP(hAPP(c_COMBB(_u16467, tc_fun(_u16467, _u16467), _u16468), c_Lattices_Osemilattice__inf__class_Oinf(_u16467)), _u16470)), c_Orderings_Otop__class_Otop(_u16467)), _u16469)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INF1__E ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INF1__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16471, tc_fun(_u16472, tc_HOL_Obool)), _u16473), _u16474), _u16475)) | hBOOL(hAPP(hAPP(_u16474, _u16476), _u16475)) | ~hBOOL(hAPP(hAPP(c_member(_u16471), _u16476), _u16473)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INF1__D ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INF1__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16477, tc_fun(_u16478, tc_HOL_Obool)), _u16479), _u16480), _u16481)) | ~hBOOL(hAPP(hAPP(c_member(_u16477), _u16482), _u16479)) | hBOOL(hAPP(hAPP(_u16480, _u16482), _u16481)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__E ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16483), _u16484), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16485, tc_fun(_u16483, tc_HOL_Obool)), _u16486), _u16487))) | hBOOL(hAPP(hAPP(c_member(_u16483), _u16484), hAPP(_u16487, _u16488))) | ~hBOOL(hAPP(hAPP(c_member(_u16485), _u16488), _u16486)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__D ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__D-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16489), _u16490), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16491, tc_fun(_u16489, tc_HOL_Obool)), _u16492), _u16493))) | ~hBOOL(hAPP(hAPP(c_member(_u16491), _u16494), _u16492)) | hBOOL(hAPP(hAPP(c_member(_u16489), _u16490), hAPP(_u16493, _u16494))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INF2__E ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INF2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16495, tc_fun(_u16496, tc_fun(_u16497, tc_HOL_Obool))), _u16498), _u16499), _u16500), _u16501)) | hBOOL(hAPP(hAPP(hAPP(_u16499, _u16502), _u16500), _u16501)) | ~hBOOL(hAPP(hAPP(c_member(_u16495), _u16502), _u16498)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INF2__D ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INF2__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16503, tc_fun(_u16504, tc_fun(_u16505, tc_HOL_Obool))), _u16506), _u16507), _u16508), _u16509)) | ~hBOOL(hAPP(hAPP(c_member(_u16503), _u16510), _u16506)) | hBOOL(hAPP(hAPP(hAPP(_u16507, _u16510), _u16508), _u16509)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_finite__INT ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_finite__INT-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16512), _u16511), _u16513)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16514), hAPP(_u16515, _u16511))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16514), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16512, tc_fun(_u16514, tc_HOL_Obool)), _u16513), _u16515))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Compl__UN ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Compl__UN-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16516, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16517, tc_fun(_u16516, tc_HOL_Obool)), _u16518), _u16519)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16517, tc_fun(_u16516, tc_HOL_Obool)), _u16518), hAPP(hAPP(c_COMBB(tc_fun(_u16516, tc_HOL_Obool), tc_fun(_u16516, tc_HOL_Obool), _u16517), c_Groups_Ouminus__class_Ouminus(tc_fun(_u16516, tc_HOL_Obool))), _u16519))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Compl__INT ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Compl__INT-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16520, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16521, tc_fun(_u16520, tc_HOL_Obool)), _u16522), _u16523)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16521, tc_fun(_u16520, tc_HOL_Obool)), _u16522), hAPP(hAPP(c_COMBB(tc_fun(_u16520, tc_HOL_Obool), tc_fun(_u16520, tc_HOL_Obool), _u16521), c_Groups_Ouminus__class_Ouminus(tc_fun(_u16520, tc_HOL_Obool))), _u16523))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__simps_I9_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16524, tc_fun(_u16525, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16526, tc_fun(_u16524, tc_HOL_Obool)), _u16527), _u16528)), _u16529) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16526, tc_fun(_u16525, tc_HOL_Obool)), _u16527), hAPP(hAPP(c_COMBC(_u16526, tc_fun(_u16524, tc_fun(_u16525, tc_HOL_Obool)), tc_fun(_u16525, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16524, tc_HOL_Obool), tc_fun(tc_fun(_u16524, tc_fun(_u16525, tc_HOL_Obool)), tc_fun(_u16525, tc_HOL_Obool)), _u16526), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16524, tc_fun(_u16525, tc_HOL_Obool))), _u16528)), _u16529))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__extend__simps_I9_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16530, tc_fun(_u16531, tc_HOL_Obool)), _u16532), hAPP(hAPP(c_COMBC(_u16530, tc_fun(_u16533, tc_fun(_u16531, tc_HOL_Obool)), tc_fun(_u16531, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16533, tc_HOL_Obool), tc_fun(tc_fun(_u16533, tc_fun(_u16531, tc_HOL_Obool)), tc_fun(_u16531, tc_HOL_Obool)), _u16530), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16533, tc_fun(_u16531, tc_HOL_Obool))), _u16534)), _u16535)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16533, tc_fun(_u16531, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16530, tc_fun(_u16533, tc_HOL_Obool)), _u16532), _u16534)), _u16535)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_UN__extend__simps_I7_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_UN__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16536, tc_HOL_Obool)), _u16537), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16538, tc_fun(_u16536, tc_HOL_Obool)), _u16539), _u16540)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16538, tc_fun(_u16536, tc_HOL_Obool)), _u16539), hAPP(hAPP(c_COMBB(tc_fun(_u16536, tc_HOL_Obool), tc_fun(_u16536, tc_HOL_Obool), _u16538), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16536, tc_HOL_Obool)), _u16537)), _u16540))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_UN__simps_I7_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_UN__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16541, tc_fun(_u16542, tc_HOL_Obool)), _u16543), hAPP(hAPP(c_COMBB(tc_fun(_u16542, tc_HOL_Obool), tc_fun(_u16542, tc_HOL_Obool), _u16541), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16542, tc_HOL_Obool)), _u16544)), _u16545)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16542, tc_HOL_Obool)), _u16544), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16541, tc_fun(_u16542, tc_HOL_Obool)), _u16543), _u16545))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Collect__ball__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Collect__ball__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u16546), hAPP(hAPP(c_COMBB(tc_fun(_u16547, tc_HOL_Obool), tc_HOL_Obool, _u16546), c_HOL_OAll(_u16547)), hAPP(hAPP(c_COMBB(tc_fun(_u16547, tc_HOL_Obool), tc_fun(_u16547, tc_HOL_Obool), _u16546), hAPP(c_COMBS(_u16547, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16547), c_fimplies), hAPP(hAPP(c_COMBC(_u16547, tc_fun(_u16547, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16547)), _u16548)))), _u16549))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16547, tc_fun(_u16546, tc_HOL_Obool)), _u16548), hAPP(hAPP(c_COMBB(tc_fun(_u16546, tc_HOL_Obool), tc_fun(_u16546, tc_HOL_Obool), _u16547), c_Set_OCollect(_u16546)), hAPP(c_COMBC(_u16546, _u16547, tc_HOL_Obool), _u16549)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INFI__bool__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INFI__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16550, tc_HOL_Obool) = c_Set_OBall(_u16550)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__extend__simps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__extend__simps_I1_J-1, axiom, ( ( _u16556 != c_Orderings_Obot__class_Obot(tc_fun(_u16558, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16560, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16558, tc_fun(_u16560, tc_HOL_Obool)), _u16556), _u16562)), _u16564) = _u16564) )).
% 27.68/27.91 cnf(fact_INT__extend__simps_I1_J-2, axiom, ( ( _u16557 = c_Orderings_Obot__class_Obot(tc_fun(_u16559, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16561, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16559, tc_fun(_u16561, tc_HOL_Obool)), _u16557), _u16563)), _u16565) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16559, tc_fun(_u16561, tc_HOL_Obool)), _u16557), hAPP(hAPP(c_COMBC(_u16559, tc_fun(_u16561, tc_HOL_Obool), tc_fun(_u16561, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16561, tc_HOL_Obool), tc_fun(tc_fun(_u16561, tc_HOL_Obool), tc_fun(_u16561, tc_HOL_Obool)), _u16559), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16561, tc_HOL_Obool))), _u16563)), _u16565))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__extend__simps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__extend__simps_I2_J-1, axiom, ( ( _u16571 != c_Orderings_Obot__class_Obot(tc_fun(_u16573, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16575, tc_HOL_Obool)), _u16577), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16573, tc_fun(_u16575, tc_HOL_Obool)), _u16571), _u16579)) = _u16577) )).
% 27.68/27.91 cnf(fact_INT__extend__simps_I2_J-2, axiom, ( ( _u16572 = c_Orderings_Obot__class_Obot(tc_fun(_u16574, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16576, tc_HOL_Obool)), _u16578), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16574, tc_fun(_u16576, tc_HOL_Obool)), _u16572), _u16580)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16574, tc_fun(_u16576, tc_HOL_Obool)), _u16572), hAPP(hAPP(c_COMBB(tc_fun(_u16576, tc_HOL_Obool), tc_fun(_u16576, tc_HOL_Obool), _u16574), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16576, tc_HOL_Obool)), _u16578)), _u16580))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INF__const ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INF__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16581) | ( _u16582 = c_Orderings_Obot__class_Obot(tc_fun(_u16583, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16583, _u16581), _u16582), hAPP(c_COMBK(_u16581, _u16583), _u16584)) = _u16584) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__constant ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__constant-1, axiom, ( ( _u16589 != c_Orderings_Obot__class_Obot(tc_fun(_u16591, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16591, tc_fun(_u16593, tc_HOL_Obool)), _u16589), hAPP(c_COMBK(tc_fun(_u16593, tc_HOL_Obool), _u16591), _u16595)) = c_Orderings_Otop__class_Otop(tc_fun(_u16593, tc_HOL_Obool))) )).
% 27.68/27.91 cnf(fact_INT__constant-2, axiom, ( ( _u16590 = c_Orderings_Obot__class_Obot(tc_fun(_u16592, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16592, tc_fun(_u16594, tc_HOL_Obool)), _u16590), hAPP(c_COMBK(tc_fun(_u16594, tc_HOL_Obool), _u16592), _u16596)) = _u16596) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__empty ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__empty-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16597, tc_fun(_u16598, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u16597, tc_HOL_Obool))), _u16599) = c_Orderings_Otop__class_Otop(tc_fun(_u16598, tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Image__INT__subset ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Image__INT__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16600, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16601, _u16600, _u16602), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16603, tc_fun(_u16601, tc_HOL_Obool)), _u16604), _u16605))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16603, tc_fun(_u16600, tc_HOL_Obool)), _u16604), hAPP(hAPP(c_COMBB(tc_fun(_u16601, tc_HOL_Obool), tc_fun(_u16600, tc_HOL_Obool), _u16603), c_Relation_OImage(_u16601, _u16600, _u16602)), _u16605)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16606, tc_fun(_u16607, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u16606), _u16608), _u16609)), _u16610) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16607, tc_HOL_Obool)), hAPP(_u16610, _u16608)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16606, tc_fun(_u16607, tc_HOL_Obool)), _u16609), _u16610))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_le__INF__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_le__INF__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16613), _u16614), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16615, _u16613), _u16616), _u16617))) | ~hBOOL(hAPP(hAPP(c_member(_u16615), _u16611), _u16616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16613), _u16614), hAPP(_u16617, _u16611))) )).
% 27.68/27.91 cnf(fact_le__INF__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16613), _u16614), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16615, _u16613), _u16616), _u16617))) | hBOOL(hAPP(hAPP(c_member(_u16615), skolem402(_u16617, _u16616, _u16615, _u16614, _u16613)), _u16616)) )).
% 27.68/27.91 cnf(fact_le__INF__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16613), _u16614), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16615, _u16613), _u16616), _u16617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16613), _u16614), hAPP(_u16617, skolem402(_u16617, _u16616, _u16615, _u16614, _u16613)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__subset__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16625, tc_HOL_Obool)), _u16627), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16629, tc_fun(_u16625, tc_HOL_Obool)), _u16631), _u16633))) | ~hBOOL(hAPP(hAPP(c_member(_u16629), _u16618), _u16631)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16625, tc_HOL_Obool)), _u16627), hAPP(_u16633, _u16618))) )).
% 27.68/27.91 cnf(fact_INT__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16626, tc_HOL_Obool)), _u16628), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16630, tc_fun(_u16626, tc_HOL_Obool)), _u16632), _u16634))) | hBOOL(hAPP(hAPP(c_member(_u16630), skolem403(_u16634, _u16632, _u16630, _u16628, _u16626)), _u16632)) )).
% 27.68/27.91 cnf(fact_INT__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16626, tc_HOL_Obool)), _u16628), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16630, tc_fun(_u16626, tc_HOL_Obool)), _u16632), _u16634))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16626, tc_HOL_Obool)), _u16628), hAPP(_u16634, skolem403(_u16634, _u16632, _u16630, _u16628, _u16626)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__simps_I5_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16635, tc_fun(_u16636, tc_HOL_Obool)), _u16637), hAPP(hAPP(c_COMBB(tc_fun(_u16636, tc_HOL_Obool), tc_fun(_u16636, tc_HOL_Obool), _u16635), hAPP(c_Set_Oinsert(_u16636), _u16638)), _u16639)) = hAPP(hAPP(c_Set_Oinsert(_u16636), _u16638), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16635, tc_fun(_u16636, tc_HOL_Obool)), _u16637), _u16639))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__extend__simps_I5_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u16640), _u16641), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16642, tc_fun(_u16640, tc_HOL_Obool)), _u16643), _u16644)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16642, tc_fun(_u16640, tc_HOL_Obool)), _u16643), hAPP(hAPP(c_COMBB(tc_fun(_u16640, tc_HOL_Obool), tc_fun(_u16640, tc_HOL_Obool), _u16642), hAPP(c_Set_Oinsert(_u16640), _u16641)), _u16644))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__lower ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16645), _u16646), _u16647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16648, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16645, tc_fun(_u16648, tc_HOL_Obool)), _u16647), _u16649)), hAPP(_u16649, _u16646))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__insert__distrib ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16650), _u16651), _u16652)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16650, tc_fun(_u16653, tc_HOL_Obool)), _u16652), hAPP(hAPP(c_COMBB(tc_fun(_u16653, tc_HOL_Obool), tc_fun(_u16653, tc_HOL_Obool), _u16650), hAPP(c_Set_Oinsert(_u16653), _u16654)), _u16655)) = hAPP(hAPP(c_Set_Oinsert(_u16653), _u16654), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16650, tc_fun(_u16653, tc_HOL_Obool)), _u16652), _u16655))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__simps_I10_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16656, tc_fun(_u16657, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u16658, _u16656, _u16659), _u16660)), _u16661) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16658, tc_fun(_u16657, tc_HOL_Obool)), _u16660), hAPP(hAPP(c_COMBB(_u16656, tc_fun(_u16657, tc_HOL_Obool), _u16658), _u16661), _u16659))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__extend__simps_I10_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16662, tc_fun(_u16663, tc_HOL_Obool)), _u16664), hAPP(hAPP(c_COMBB(_u16665, tc_fun(_u16663, tc_HOL_Obool), _u16662), _u16666), _u16667)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16665, tc_fun(_u16663, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u16662, _u16665, _u16667), _u16664)), _u16666)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__Int__distrib ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16668, tc_fun(_u16669, tc_HOL_Obool)), _u16670), hAPP(hAPP(c_COMBS(_u16668, tc_fun(_u16669, tc_HOL_Obool), tc_fun(_u16669, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16669, tc_HOL_Obool), tc_fun(tc_fun(_u16669, tc_HOL_Obool), tc_fun(_u16669, tc_HOL_Obool)), _u16668), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16669, tc_HOL_Obool))), _u16671)), _u16672)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16669, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16668, tc_fun(_u16669, tc_HOL_Obool)), _u16670), _u16671)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16668, tc_fun(_u16669, tc_HOL_Obool)), _u16670), _u16672))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Pow__INT__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Pow__INT__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u16673), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16674, tc_fun(_u16673, tc_HOL_Obool)), _u16675), _u16676)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16674, tc_fun(tc_fun(_u16673, tc_HOL_Obool), tc_HOL_Obool)), _u16675), hAPP(hAPP(c_COMBB(tc_fun(_u16673, tc_HOL_Obool), tc_fun(tc_fun(_u16673, tc_HOL_Obool), tc_HOL_Obool), _u16674), c_Set_OPow(_u16673)), _u16676))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INF__commute ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INF__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16677) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16678, _u16677), _u16679), hAPP(hAPP(c_COMBB(tc_fun(_u16680, _u16677), _u16677, _u16678), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16680, _u16677), _u16681)), _u16682)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16680, _u16677), _u16681), hAPP(hAPP(c_COMBB(tc_fun(_u16678, _u16677), _u16677, _u16680), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16678, _u16677), _u16679)), hAPP(c_COMBC(_u16678, _u16680, _u16677), _u16682)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INFI__apply ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INFI__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16683) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16684, tc_fun(_u16685, _u16683)), _u16686), _u16687), _u16688) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16684, _u16683), _u16686), hAPP(hAPP(c_COMBC(_u16684, _u16685, _u16683), _u16687), _u16688))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16696), _u16698), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16700, tc_fun(_u16696, tc_HOL_Obool)), _u16702), _u16704))) | ~hBOOL(hAPP(hAPP(c_member(_u16700), _u16689), _u16702)) | hBOOL(hAPP(hAPP(c_member(_u16696), _u16698), hAPP(_u16704, _u16689))) )).
% 27.68/27.91 cnf(fact_INT__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16697), _u16699), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16701, tc_fun(_u16697, tc_HOL_Obool)), _u16703), _u16705))) | hBOOL(hAPP(hAPP(c_member(_u16701), skolem404(_u16705, _u16703, _u16701, _u16699, _u16697)), _u16703)) )).
% 27.68/27.91 cnf(fact_INT__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16697), _u16699), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16701, tc_fun(_u16697, tc_HOL_Obool)), _u16703), _u16705))) | ~hBOOL(hAPP(hAPP(c_member(_u16697), _u16699), hAPP(_u16705, skolem404(_u16705, _u16703, _u16701, _u16699, _u16697)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INF__less__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INF__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16708) | ~class_Orderings_Olinorder(_u16708) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16708), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16709, _u16708), _u16710), _u16711)), _u16712)) | hBOOL(hAPP(hAPP(c_member(_u16709), skolem405(_u16712, _u16711, _u16710, _u16709, _u16708)), _u16710)) )).
% 27.68/27.91 cnf(fact_INF__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16708) | ~class_Orderings_Olinorder(_u16708) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16708), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16709, _u16708), _u16710), _u16711)), _u16712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16708), hAPP(_u16711, skolem405(_u16712, _u16711, _u16710, _u16709, _u16708))), _u16712)) )).
% 27.68/27.91 cnf(fact_INF__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16708) | ~class_Orderings_Olinorder(_u16708) | ~hBOOL(hAPP(hAPP(c_member(_u16709), _u16707), _u16710)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16708), hAPP(_u16711, _u16707)), _u16712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16708), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16709, _u16708), _u16710), _u16711)), _u16712)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__absorb ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16713), _u16714), _u16715)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16716, tc_HOL_Obool)), hAPP(_u16717, _u16714)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16713, tc_fun(_u16716, tc_HOL_Obool)), _u16715), _u16717)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16713, tc_fun(_u16716, tc_HOL_Obool)), _u16715), _u16717)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INF__INT__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INF__INT__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16722, tc_fun(_u16724, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16722, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u16724, tc_HOL_Obool), tc_fun(_u16724, tc_HOL_Obool), _u16722), hAPP(c_COMBC(_u16724, tc_fun(_u16724, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16724))), _u16726)), _u16728)) | hBOOL(hAPP(hAPP(c_member(_u16724), _u16728), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16722, tc_fun(_u16724, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16722, tc_HOL_Obool))), _u16726))) )).
% 27.68/27.91 cnf(fact_INF__INT__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16725), _u16729), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16723, tc_fun(_u16725, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16723, tc_HOL_Obool))), _u16727))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16723, tc_fun(_u16725, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16723, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u16725, tc_HOL_Obool), tc_fun(_u16725, tc_HOL_Obool), _u16723), hAPP(c_COMBC(_u16725, tc_fun(_u16725, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16725))), _u16727)), _u16729)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INF__INT__eq2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INF__INT__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16736, tc_fun(_u16738, tc_fun(_u16740, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u16736, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_fun(_u16738, tc_fun(_u16740, tc_HOL_Obool)), _u16736), hAPP(c_COMBC(_u16738, tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_fun(_u16740, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16740, tc_fun(tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_fun(_u16740, tc_HOL_Obool)), _u16738), c_COMBC(_u16740, tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16740, tc_prod(_u16738, _u16740)), tc_fun(_u16740, tc_fun(tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_HOL_Obool)), _u16738), hAPP(c_COMBB(tc_prod(_u16738, _u16740), tc_fun(tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_HOL_Obool), _u16740), c_member(tc_prod(_u16738, _u16740)))), c_Product__Type_OPair(_u16738, _u16740))))), _u16742)), _u16744), _u16746)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16738, _u16740)), hAPP(hAPP(c_Product__Type_OPair(_u16738, _u16740), _u16744), _u16746)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16736, tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16736, tc_HOL_Obool))), _u16742))) )).
% 27.68/27.91 cnf(fact_INF__INT__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16739, _u16741)), hAPP(hAPP(c_Product__Type_OPair(_u16739, _u16741), _u16745), _u16747)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16737, tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16737, tc_HOL_Obool))), _u16743))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16737, tc_fun(_u16739, tc_fun(_u16741, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u16737, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_fun(_u16739, tc_fun(_u16741, tc_HOL_Obool)), _u16737), hAPP(c_COMBC(_u16739, tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_fun(_u16741, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16741, tc_fun(tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_fun(_u16741, tc_HOL_Obool)), _u16739), c_COMBC(_u16741, tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16741, tc_prod(_u16739, _u16741)), tc_fun(_u16741, tc_fun(tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_HOL_Obool)), _u16739), hAPP(c_COMBB(tc_prod(_u16739, _u16741), tc_fun(tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_HOL_Obool), _u16741), c_member(tc_prod(_u16739, _u16741)))), c_Product__Type_OPair(_u16739, _u16741))))), _u16743)), _u16745), _u16747)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INTER__UNIV__conv_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INTER__UNIV__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16754, tc_fun(_u16756, tc_HOL_Obool)), _u16758), _u16760) != c_Orderings_Otop__class_Otop(tc_fun(_u16756, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u16754), _u16748), _u16758)) | ( hAPP(_u16760, _u16748) = c_Orderings_Otop__class_Otop(tc_fun(_u16756, tc_HOL_Obool))) )).
% 27.68/27.91 cnf(fact_INTER__UNIV__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16755, tc_fun(_u16757, tc_HOL_Obool)), _u16759), _u16761) = c_Orderings_Otop__class_Otop(tc_fun(_u16757, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u16755), skolem406(_u16761, _u16759, _u16757, _u16755)), _u16759)) )).
% 27.68/27.91 cnf(fact_INTER__UNIV__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16755, tc_fun(_u16757, tc_HOL_Obool)), _u16759), _u16761) = c_Orderings_Otop__class_Otop(tc_fun(_u16757, tc_HOL_Obool))) | ( hAPP(_u16761, skolem406(_u16761, _u16759, _u16757, _u16755)) != c_Orderings_Otop__class_Otop(tc_fun(_u16757, tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INTER__UNIV__conv_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INTER__UNIV__conv_I1_J-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16768, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16770, tc_fun(_u16768, tc_HOL_Obool)), _u16772), _u16774)) | ~hBOOL(hAPP(hAPP(c_member(_u16770), _u16762), _u16772)) | ( hAPP(_u16774, _u16762) = c_Orderings_Otop__class_Otop(tc_fun(_u16768, tc_HOL_Obool))) )).
% 27.68/27.91 cnf(fact_INTER__UNIV__conv_I1_J-2, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16769, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16771, tc_fun(_u16769, tc_HOL_Obool)), _u16773), _u16775)) | hBOOL(hAPP(hAPP(c_member(_u16771), skolem407(_u16775, _u16773, _u16771, _u16769)), _u16773)) )).
% 27.68/27.91 cnf(fact_INTER__UNIV__conv_I1_J-3, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16769, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16771, tc_fun(_u16769, tc_HOL_Obool)), _u16773), _u16775)) | ( hAPP(_u16775, skolem407(_u16775, _u16773, _u16771, _u16769)) != c_Orderings_Otop__class_Otop(tc_fun(_u16769, tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_vimage__INT ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_vimage__INT-1, axiom, ( ( hAPP(c_Set_Ovimage(_u16776, _u16777, _u16778), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16779, tc_fun(_u16777, tc_HOL_Obool)), _u16780), _u16781)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16779, tc_fun(_u16776, tc_HOL_Obool)), _u16780), hAPP(hAPP(c_COMBB(tc_fun(_u16777, tc_HOL_Obool), tc_fun(_u16776, tc_HOL_Obool), _u16779), c_Set_Ovimage(_u16776, _u16777, _u16778)), _u16781))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_converse__INTER ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_converse__INTER-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u16782, _u16783), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16784, tc_fun(tc_prod(_u16782, _u16783), tc_HOL_Obool)), _u16785), _u16786)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16784, tc_fun(tc_prod(_u16783, _u16782), tc_HOL_Obool)), _u16785), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16782, _u16783), tc_HOL_Obool), tc_fun(tc_prod(_u16783, _u16782), tc_HOL_Obool), _u16784), c_Relation_Oconverse(_u16782, _u16783)), _u16786))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Un__INT__distrib2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Un__INT__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16787, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16788, tc_fun(_u16787, tc_HOL_Obool)), _u16789), _u16790)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16791, tc_fun(_u16787, tc_HOL_Obool)), _u16792), _u16793)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16788, tc_fun(_u16787, tc_HOL_Obool)), _u16789), hAPP(hAPP(c_COMBB(tc_fun(_u16791, tc_fun(_u16787, tc_HOL_Obool)), tc_fun(_u16787, tc_HOL_Obool), _u16788), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16791, tc_fun(_u16787, tc_HOL_Obool)), _u16792)), hAPP(hAPP(c_COMBC(_u16788, tc_fun(_u16791, tc_fun(_u16787, tc_HOL_Obool)), tc_fun(_u16791, tc_fun(_u16787, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16787, tc_HOL_Obool), tc_fun(_u16787, tc_HOL_Obool)), tc_fun(tc_fun(_u16791, tc_fun(_u16787, tc_HOL_Obool)), tc_fun(_u16791, tc_fun(_u16787, tc_HOL_Obool))), _u16788), c_COMBB(tc_fun(_u16787, tc_HOL_Obool), tc_fun(_u16787, tc_HOL_Obool), _u16791)), hAPP(hAPP(c_COMBB(tc_fun(_u16787, tc_HOL_Obool), tc_fun(tc_fun(_u16787, tc_HOL_Obool), tc_fun(_u16787, tc_HOL_Obool)), _u16788), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16787, tc_HOL_Obool))), _u16790))), _u16793)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__extend__simps_I6_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16794, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16795, tc_fun(_u16794, tc_HOL_Obool)), _u16796), _u16797)), _u16798) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16795, tc_fun(_u16794, tc_HOL_Obool)), _u16796), hAPP(hAPP(c_COMBC(_u16795, tc_fun(_u16794, tc_HOL_Obool), tc_fun(_u16794, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16794, tc_HOL_Obool), tc_fun(tc_fun(_u16794, tc_HOL_Obool), tc_fun(_u16794, tc_HOL_Obool)), _u16795), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16794, tc_HOL_Obool))), _u16797)), _u16798))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Un__INT__distrib ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Un__INT__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16799, tc_HOL_Obool)), _u16800), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16801, tc_fun(_u16799, tc_HOL_Obool)), _u16802), _u16803)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16801, tc_fun(_u16799, tc_HOL_Obool)), _u16802), hAPP(hAPP(c_COMBB(tc_fun(_u16799, tc_HOL_Obool), tc_fun(_u16799, tc_HOL_Obool), _u16801), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16799, tc_HOL_Obool)), _u16800)), _u16803))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__extend__simps_I7_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16804, tc_HOL_Obool)), _u16805), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16806, tc_fun(_u16804, tc_HOL_Obool)), _u16807), _u16808)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16806, tc_fun(_u16804, tc_HOL_Obool)), _u16807), hAPP(hAPP(c_COMBB(tc_fun(_u16804, tc_HOL_Obool), tc_fun(_u16804, tc_HOL_Obool), _u16806), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16804, tc_HOL_Obool)), _u16805)), _u16808))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__simps_I6_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16809, tc_fun(_u16810, tc_HOL_Obool)), _u16811), hAPP(hAPP(c_COMBC(_u16809, tc_fun(_u16810, tc_HOL_Obool), tc_fun(_u16810, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16810, tc_HOL_Obool), tc_fun(tc_fun(_u16810, tc_HOL_Obool), tc_fun(_u16810, tc_HOL_Obool)), _u16809), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16810, tc_HOL_Obool))), _u16812)), _u16813)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16810, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16809, tc_fun(_u16810, tc_HOL_Obool)), _u16811), _u16812)), _u16813)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__simps_I7_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16814, tc_fun(_u16815, tc_HOL_Obool)), _u16816), hAPP(hAPP(c_COMBB(tc_fun(_u16815, tc_HOL_Obool), tc_fun(_u16815, tc_HOL_Obool), _u16814), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16815, tc_HOL_Obool)), _u16817)), _u16818)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16815, tc_HOL_Obool)), _u16817), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16814, tc_fun(_u16815, tc_HOL_Obool)), _u16816), _u16818))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__Un ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16819, tc_fun(_u16820, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16819, tc_HOL_Obool)), _u16821), _u16822)), _u16823) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16820, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16819, tc_fun(_u16820, tc_HOL_Obool)), _u16821), _u16823)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16819, tc_fun(_u16820, tc_HOL_Obool)), _u16822), _u16823))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INF__subset ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INF__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16824) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16825, tc_HOL_Obool)), _u16826), _u16827)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16824), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16825, _u16824), _u16827), _u16828)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16825, _u16824), _u16826), _u16828))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INTER__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INTER__def-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16829, tc_fun(_u16830, tc_HOL_Obool)), _u16831), _u16832) = hAPP(c_Set_OCollect(_u16830), hAPP(hAPP(c_COMBB(tc_fun(_u16829, tc_HOL_Obool), tc_HOL_Obool, _u16830), c_HOL_OAll(_u16829)), hAPP(hAPP(c_COMBB(tc_fun(_u16829, tc_HOL_Obool), tc_fun(_u16829, tc_HOL_Obool), _u16830), hAPP(c_COMBS(_u16829, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16829), c_fimplies), hAPP(hAPP(c_COMBC(_u16829, tc_fun(_u16829, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16829)), _u16831)))), hAPP(hAPP(c_COMBC(_u16830, tc_fun(_u16829, tc_fun(_u16830, tc_HOL_Obool)), tc_fun(_u16829, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16830, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u16829, tc_fun(_u16830, tc_HOL_Obool)), tc_fun(_u16829, tc_HOL_Obool)), _u16830), c_COMBB(tc_fun(_u16830, tc_HOL_Obool), tc_HOL_Obool, _u16829)), c_member(_u16830))), _u16832))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__simps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__simps_I1_J-1, axiom, ( ( _u16838 != c_Orderings_Obot__class_Obot(tc_fun(_u16840, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16840, tc_fun(_u16842, tc_HOL_Obool)), _u16838), hAPP(hAPP(c_COMBC(_u16840, tc_fun(_u16842, tc_HOL_Obool), tc_fun(_u16842, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16842, tc_HOL_Obool), tc_fun(tc_fun(_u16842, tc_HOL_Obool), tc_fun(_u16842, tc_HOL_Obool)), _u16840), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16842, tc_HOL_Obool))), _u16844)), _u16846)) = c_Orderings_Otop__class_Otop(tc_fun(_u16842, tc_HOL_Obool))) )).
% 27.68/27.91 cnf(fact_INT__simps_I1_J-2, axiom, ( ( _u16839 = c_Orderings_Obot__class_Obot(tc_fun(_u16841, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16841, tc_fun(_u16843, tc_HOL_Obool)), _u16839), hAPP(hAPP(c_COMBC(_u16841, tc_fun(_u16843, tc_HOL_Obool), tc_fun(_u16843, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16843, tc_HOL_Obool), tc_fun(tc_fun(_u16843, tc_HOL_Obool), tc_fun(_u16843, tc_HOL_Obool)), _u16841), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16843, tc_HOL_Obool))), _u16845)), _u16847)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16843, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16841, tc_fun(_u16843, tc_HOL_Obool)), _u16839), _u16845)), _u16847)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__simps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__simps_I2_J-1, axiom, ( ( _u16853 != c_Orderings_Obot__class_Obot(tc_fun(_u16855, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16855, tc_fun(_u16857, tc_HOL_Obool)), _u16853), hAPP(hAPP(c_COMBB(tc_fun(_u16857, tc_HOL_Obool), tc_fun(_u16857, tc_HOL_Obool), _u16855), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16857, tc_HOL_Obool)), _u16859)), _u16861)) = c_Orderings_Otop__class_Otop(tc_fun(_u16857, tc_HOL_Obool))) )).
% 27.68/27.91 cnf(fact_INT__simps_I2_J-2, axiom, ( ( _u16854 = c_Orderings_Obot__class_Obot(tc_fun(_u16856, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16856, tc_fun(_u16858, tc_HOL_Obool)), _u16854), hAPP(hAPP(c_COMBB(tc_fun(_u16858, tc_HOL_Obool), tc_fun(_u16858, tc_HOL_Obool), _u16856), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16858, tc_HOL_Obool)), _u16860)), _u16862)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16858, tc_HOL_Obool)), _u16860), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16856, tc_fun(_u16858, tc_HOL_Obool)), _u16854), _u16862))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__simps_I3_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__simps_I3_J-1, axiom, ( ( _u16868 != c_Orderings_Obot__class_Obot(tc_fun(_u16870, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16870, tc_fun(_u16872, tc_HOL_Obool)), _u16868), hAPP(hAPP(c_COMBC(_u16870, tc_fun(_u16872, tc_HOL_Obool), tc_fun(_u16872, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16872, tc_HOL_Obool), tc_fun(tc_fun(_u16872, tc_HOL_Obool), tc_fun(_u16872, tc_HOL_Obool)), _u16870), c_Groups_Ominus__class_Ominus(tc_fun(_u16872, tc_HOL_Obool))), _u16874)), _u16876)) = c_Orderings_Otop__class_Otop(tc_fun(_u16872, tc_HOL_Obool))) )).
% 27.68/27.91 cnf(fact_INT__simps_I3_J-2, axiom, ( ( _u16869 = c_Orderings_Obot__class_Obot(tc_fun(_u16871, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16871, tc_fun(_u16873, tc_HOL_Obool)), _u16869), hAPP(hAPP(c_COMBC(_u16871, tc_fun(_u16873, tc_HOL_Obool), tc_fun(_u16873, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16873, tc_HOL_Obool), tc_fun(tc_fun(_u16873, tc_HOL_Obool), tc_fun(_u16873, tc_HOL_Obool)), _u16871), c_Groups_Ominus__class_Ominus(tc_fun(_u16873, tc_HOL_Obool))), _u16875)), _u16877)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16873, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16871, tc_fun(_u16873, tc_HOL_Obool)), _u16869), _u16875)), _u16877)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__extend__simps_I3_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__extend__simps_I3_J-1, axiom, ( ( _u16883 != c_Orderings_Obot__class_Obot(tc_fun(_u16885, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16887, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16885, tc_fun(_u16887, tc_HOL_Obool)), _u16883), _u16889)), _u16891) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16887, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16887, tc_HOL_Obool))), _u16891)) )).
% 27.68/27.91 cnf(fact_INT__extend__simps_I3_J-2, axiom, ( ( _u16884 = c_Orderings_Obot__class_Obot(tc_fun(_u16886, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16888, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16886, tc_fun(_u16888, tc_HOL_Obool)), _u16884), _u16890)), _u16892) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16886, tc_fun(_u16888, tc_HOL_Obool)), _u16884), hAPP(hAPP(c_COMBC(_u16886, tc_fun(_u16888, tc_HOL_Obool), tc_fun(_u16888, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16888, tc_HOL_Obool), tc_fun(tc_fun(_u16888, tc_HOL_Obool), tc_fun(_u16888, tc_HOL_Obool)), _u16886), c_Groups_Ominus__class_Ominus(tc_fun(_u16888, tc_HOL_Obool))), _u16890)), _u16892))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__extend__simps_I4_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__extend__simps_I4_J-1, axiom, ( ( _u16898 != c_Orderings_Obot__class_Obot(tc_fun(_u16900, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16902, tc_HOL_Obool)), _u16904), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16900, tc_fun(_u16902, tc_HOL_Obool)), _u16898), _u16906)) = _u16904) )).
% 27.68/27.91 cnf(fact_INT__extend__simps_I4_J-2, axiom, ( ( _u16899 = c_Orderings_Obot__class_Obot(tc_fun(_u16901, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16903, tc_HOL_Obool)), _u16905), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16901, tc_fun(_u16903, tc_HOL_Obool)), _u16899), _u16907)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16901, tc_fun(_u16903, tc_HOL_Obool)), _u16899), hAPP(hAPP(c_COMBB(tc_fun(_u16903, tc_HOL_Obool), tc_fun(_u16903, tc_HOL_Obool), _u16901), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16903, tc_HOL_Obool)), _u16905)), _u16907))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INF__leI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INF__leI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16908) | ~hBOOL(hAPP(hAPP(c_member(_u16909), _u16910), _u16911)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16908), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16909, _u16908), _u16911), _u16912)), hAPP(_u16912, _u16910))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__greaterThan__UNIV ( axiom ) converted to clauses:
% 27.68/27.91 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))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__simps_I4_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__simps_I4_J-1, axiom, ( ( _u16918 != c_Orderings_Obot__class_Obot(tc_fun(_u16920, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16920, tc_fun(_u16922, tc_HOL_Obool)), _u16918), hAPP(hAPP(c_COMBB(tc_fun(_u16922, tc_HOL_Obool), tc_fun(_u16922, tc_HOL_Obool), _u16920), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16922, tc_HOL_Obool)), _u16924)), _u16926)) = c_Orderings_Otop__class_Otop(tc_fun(_u16922, tc_HOL_Obool))) )).
% 27.68/27.91 cnf(fact_INT__simps_I4_J-2, axiom, ( ( _u16919 = c_Orderings_Obot__class_Obot(tc_fun(_u16921, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16921, tc_fun(_u16923, tc_HOL_Obool)), _u16919), hAPP(hAPP(c_COMBB(tc_fun(_u16923, tc_HOL_Obool), tc_fun(_u16923, tc_HOL_Obool), _u16921), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16923, tc_HOL_Obool)), _u16925)), _u16927)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16923, tc_HOL_Obool)), _u16925), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16921, tc_fun(_u16923, tc_HOL_Obool)), _u16919), _u16927))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Image__INT__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Image__INT__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u16928, _u16929, hAPP(c_Relation_Oconverse(_u16929, _u16928), _u16930)) | ( _u16931 = c_Orderings_Obot__class_Obot(tc_fun(_u16932, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u16929, _u16928, _u16930), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16932, tc_fun(_u16929, tc_HOL_Obool)), _u16931), _u16933)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16932, tc_fun(_u16928, tc_HOL_Obool)), _u16931), hAPP(hAPP(c_COMBB(tc_fun(_u16929, tc_HOL_Obool), tc_fun(_u16928, tc_HOL_Obool), _u16932), c_Relation_OImage(_u16929, _u16928, _u16930)), _u16933))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_inf__INFI__fold__inf ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_inf__INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16935), _u16936)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16934), _u16937), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16935, _u16934), _u16936), _u16938)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16935, _u16934, hAPP(hAPP(c_COMBB(_u16934, tc_fun(_u16934, _u16934), _u16935), c_Lattices_Osemilattice__inf__class_Oinf(_u16934)), _u16938)), _u16937), _u16936)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inf__fold__inf ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16939) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16939), _u16940)) | ( c_Complete__Lattice_OInf__class_OInf(_u16939, _u16940) = hAPP(hAPP(c_Finite__Set_Ofold(_u16939, _u16939, c_Lattices_Osemilattice__inf__class_Oinf(_u16939)), c_Orderings_Otop__class_Otop(_u16939)), _u16940)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Sup__fold__sup ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16941), _u16942)) | ( c_Complete__Lattice_OSup__class_OSup(_u16941, _u16942) = hAPP(hAPP(c_Finite__Set_Ofold(_u16941, _u16941, c_Lattices_Osemilattice__sup__class_Osup(_u16941)), c_Orderings_Obot__class_Obot(_u16941)), _u16942)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_finite__Inter ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_finite__Inter-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16944, tc_HOL_Obool)), _u16943), _u16945)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16944), _u16943)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16944), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16944, tc_HOL_Obool), _u16945))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_UnionI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_UnionI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16946, tc_HOL_Obool)), _u16947), _u16948)) | ~hBOOL(hAPP(hAPP(c_member(_u16946), _u16949), _u16947)) | hBOOL(hAPP(hAPP(c_member(_u16946), _u16949), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16946, tc_HOL_Obool), _u16948))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_InterD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_InterD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16950), _u16951), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16950, tc_HOL_Obool), _u16952))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16950, tc_HOL_Obool)), _u16953), _u16952)) | hBOOL(hAPP(hAPP(c_member(_u16950), _u16951), _u16953)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_InterE ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_InterE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16954), _u16955), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16954, tc_HOL_Obool), _u16956))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16954, tc_HOL_Obool)), _u16957), _u16956)) | hBOOL(hAPP(hAPP(c_member(_u16954), _u16955), _u16957)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INTER__eq__Inter__image ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INTER__eq__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16958, tc_fun(_u16959, tc_HOL_Obool)), _u16960), _u16961) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16959, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16958, tc_fun(_u16959, tc_HOL_Obool), _u16961), _u16960))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inter__image__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inter__image__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16962, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16963, tc_fun(_u16962, tc_HOL_Obool), _u16964), _u16965)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16963, tc_fun(_u16962, tc_HOL_Obool)), _u16965), _u16964)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__extend__simps_I8_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16966, tc_HOL_Obool), tc_fun(_u16967, tc_HOL_Obool)), _u16968), hAPP(hAPP(c_COMBC(tc_fun(_u16966, tc_HOL_Obool), tc_fun(_u16966, tc_fun(_u16967, tc_HOL_Obool)), tc_fun(_u16967, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16966, tc_fun(_u16967, tc_HOL_Obool))), _u16969)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16966, tc_fun(_u16967, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16966, tc_HOL_Obool), _u16968)), _u16969)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INT__simps_I8_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INT__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16970, tc_fun(_u16971, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16970, tc_HOL_Obool), _u16972)), _u16973) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16970, tc_HOL_Obool), tc_fun(_u16971, tc_HOL_Obool)), _u16972), hAPP(hAPP(c_COMBC(tc_fun(_u16970, tc_HOL_Obool), tc_fun(_u16970, tc_fun(_u16971, tc_HOL_Obool)), tc_fun(_u16971, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16970, tc_fun(_u16971, tc_HOL_Obool))), _u16973))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INF1__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INF1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16981, tc_fun(_u16983, tc_HOL_Obool)), _u16985), _u16987), _u16989)) | ~hBOOL(hAPP(hAPP(c_member(_u16981), _u16974), _u16985)) | hBOOL(hAPP(hAPP(_u16987, _u16974), _u16989)) )).
% 27.68/27.91 cnf(fact_INF1__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16982, tc_fun(_u16984, tc_HOL_Obool)), _u16986), _u16988), _u16990)) | hBOOL(hAPP(hAPP(c_member(_u16982), skolem408(_u16990, _u16988, _u16986, _u16984, _u16982)), _u16986)) )).
% 27.68/27.91 cnf(fact_INF1__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16982, tc_fun(_u16984, tc_HOL_Obool)), _u16986), _u16988), _u16990)) | ~hBOOL(hAPP(hAPP(_u16988, skolem408(_u16990, _u16988, _u16986, _u16984, _u16982)), _u16990)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_INF2__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_INF2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17000, tc_fun(_u17002, tc_fun(_u17004, tc_HOL_Obool))), _u17006), _u17008), _u17010), _u17012)) | ~hBOOL(hAPP(hAPP(c_member(_u17000), _u16991), _u17006)) | hBOOL(hAPP(hAPP(hAPP(_u17008, _u16991), _u17010), _u17012)) )).
% 27.68/27.91 cnf(fact_INF2__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17001, tc_fun(_u17003, tc_fun(_u17005, tc_HOL_Obool))), _u17007), _u17009), _u17011), _u17013)) | hBOOL(hAPP(hAPP(c_member(_u17001), skolem409(_u17013, _u17011, _u17009, _u17007, _u17005, _u17003, _u17001)), _u17007)) )).
% 27.68/27.91 cnf(fact_INF2__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17001, tc_fun(_u17003, tc_fun(_u17005, tc_HOL_Obool))), _u17007), _u17009), _u17011), _u17013)) | ~hBOOL(hAPP(hAPP(hAPP(_u17009, skolem409(_u17013, _u17011, _u17009, _u17007, _u17005, _u17003, _u17001)), _u17011), _u17013)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Un__Inter ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Un__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17014, tc_HOL_Obool)), _u17015), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17014, tc_HOL_Obool), _u17016)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u17014, tc_HOL_Obool), tc_fun(_u17014, tc_HOL_Obool)), _u17016), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17014, tc_HOL_Obool)), _u17015))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inter__empty ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inter__empty-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17017, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17017, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u17017, tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inter__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inter__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17018, tc_HOL_Obool), _u17019) = hAPP(c_Set_OCollect(_u17018), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17018, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u17018), c_HOL_OAll(tc_fun(_u17018, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17018, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u17018, tc_HOL_Obool), tc_HOL_Obool), _u17018), hAPP(c_COMBS(tc_fun(_u17018, 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(_u17018, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u17018, tc_HOL_Obool), tc_fun(tc_fun(_u17018, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u17018, tc_HOL_Obool))), _u17019)))), c_member(_u17018))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Union__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Union__insert-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17020, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17020, tc_HOL_Obool)), _u17021), _u17022)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17020, tc_HOL_Obool)), _u17021), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17020, tc_HOL_Obool), _u17022))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Union__quotient ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Union__quotient-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u17023, _u17024, _u17025) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17023, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u17023), _u17024), _u17025)) = _u17024) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inf__less__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inf__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17028) | ~class_Orderings_Olinorder(_u17028) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17028), c_Complete__Lattice_OInf__class_OInf(_u17028, _u17029)), _u17030)) | hBOOL(hAPP(hAPP(c_member(_u17028), skolem410(_u17030, _u17029, _u17028)), _u17029)) )).
% 27.68/27.91 cnf(fact_Inf__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17028) | ~class_Orderings_Olinorder(_u17028) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17028), c_Complete__Lattice_OInf__class_OInf(_u17028, _u17029)), _u17030)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17028), skolem410(_u17030, _u17029, _u17028)), _u17030)) )).
% 27.68/27.91 cnf(fact_Inf__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17028) | ~class_Orderings_Olinorder(_u17028) | ~hBOOL(hAPP(hAPP(c_member(_u17028), _u17027), _u17029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17028), _u17027), _u17030)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17028), c_Complete__Lattice_OInf__class_OInf(_u17028, _u17029)), _u17030)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_less__Sup__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_less__Sup__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17033) | ~class_Orderings_Olinorder(_u17033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17033), _u17034), c_Complete__Lattice_OSup__class_OSup(_u17033, _u17035))) | hBOOL(hAPP(hAPP(c_member(_u17033), skolem411(_u17035, _u17034, _u17033)), _u17035)) )).
% 27.68/27.91 cnf(fact_less__Sup__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17033) | ~class_Orderings_Olinorder(_u17033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17033), _u17034), c_Complete__Lattice_OSup__class_OSup(_u17033, _u17035))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17033), _u17034), skolem411(_u17035, _u17034, _u17033))) )).
% 27.68/27.91 cnf(fact_less__Sup__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17033) | ~class_Orderings_Olinorder(_u17033) | ~hBOOL(hAPP(hAPP(c_member(_u17033), _u17032), _u17035)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17033), _u17034), _u17032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17033), _u17034), c_Complete__Lattice_OSup__class_OSup(_u17033, _u17035))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Union__Pow__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Union__Pow__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17036, tc_HOL_Obool), hAPP(c_Set_OPow(_u17036), _u17037)) = _u17037) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Field__Union ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Field__Union-1, axiom, ( ( hAPP(c_Relation_OField(_u17038), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u17038, _u17038), tc_HOL_Obool), _u17039)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17038, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u17038, _u17038), tc_HOL_Obool), tc_fun(_u17038, tc_HOL_Obool), c_Relation_OField(_u17038)), _u17039))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inter__lower ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inter__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17040, tc_HOL_Obool)), _u17041), _u17042)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17040, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17040, tc_HOL_Obool), _u17042)), _u17041)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Sup__le__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Sup__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17045), c_Complete__Lattice_OSup__class_OSup(_u17045, _u17046)), _u17047)) | ~hBOOL(hAPP(hAPP(c_member(_u17045), _u17043), _u17046)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17045), _u17043), _u17047)) )).
% 27.68/27.91 cnf(fact_Sup__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17045) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17045), c_Complete__Lattice_OSup__class_OSup(_u17045, _u17046)), _u17047)) | hBOOL(hAPP(hAPP(c_member(_u17045), skolem412(_u17047, _u17046, _u17045)), _u17046)) )).
% 27.68/27.91 cnf(fact_Sup__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17045) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17045), c_Complete__Lattice_OSup__class_OSup(_u17045, _u17046)), _u17047)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17045), skolem412(_u17047, _u17046, _u17045)), _u17047)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_le__Inf__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_le__Inf__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17050), _u17051), c_Complete__Lattice_OInf__class_OInf(_u17050, _u17052))) | ~hBOOL(hAPP(hAPP(c_member(_u17050), _u17048), _u17052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17050), _u17051), _u17048)) )).
% 27.68/27.91 cnf(fact_le__Inf__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17050), _u17051), c_Complete__Lattice_OInf__class_OInf(_u17050, _u17052))) | hBOOL(hAPP(hAPP(c_member(_u17050), skolem413(_u17052, _u17051, _u17050)), _u17052)) )).
% 27.68/27.91 cnf(fact_le__Inf__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17050), _u17051), c_Complete__Lattice_OInf__class_OInf(_u17050, _u17052))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17050), _u17051), skolem413(_u17052, _u17051, _u17050))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Union__upper ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Union__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17053, tc_HOL_Obool)), _u17054), _u17055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17053, tc_HOL_Obool)), _u17054), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17053, tc_HOL_Obool), _u17055))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Union__mono ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Union__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u17056, tc_HOL_Obool), tc_HOL_Obool)), _u17057), _u17058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17056, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17056, tc_HOL_Obool), _u17057)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17056, tc_HOL_Obool), _u17058))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Union__empty ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Union__empty-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17059, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17059, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u17059, tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Union__disjoint ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Union__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17065, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17065, tc_HOL_Obool), _u17067)), _u17069) != c_Orderings_Obot__class_Obot(tc_fun(_u17065, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17065, tc_HOL_Obool)), _u17060), _u17067)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17065, tc_HOL_Obool)), _u17060), _u17069) = c_Orderings_Obot__class_Obot(tc_fun(_u17065, tc_HOL_Obool))) )).
% 27.68/27.91 cnf(fact_Union__disjoint-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17066, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17066, tc_HOL_Obool), _u17068)), _u17070) = c_Orderings_Obot__class_Obot(tc_fun(_u17066, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17066, tc_HOL_Obool)), skolem414(_u17070, _u17068, _u17066)), _u17068)) )).
% 27.68/27.91 cnf(fact_Union__disjoint-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17066, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17066, tc_HOL_Obool), _u17068)), _u17070) = c_Orderings_Obot__class_Obot(tc_fun(_u17066, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17066, tc_HOL_Obool)), skolem414(_u17070, _u17068, _u17066)), _u17070) != c_Orderings_Obot__class_Obot(tc_fun(_u17066, tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_finite__UnionD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_finite__UnionD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17071), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17071, tc_HOL_Obool), _u17072))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17071, tc_HOL_Obool)), _u17072)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Sup__Inf ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Sup__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17073) | ( c_Complete__Lattice_OSup__class_OSup(_u17073, _u17074) = c_Complete__Lattice_OInf__class_OInf(_u17073, hAPP(c_Set_OCollect(_u17073), hAPP(hAPP(c_COMBB(tc_fun(_u17073, tc_HOL_Obool), tc_HOL_Obool, _u17073), c_HOL_OAll(_u17073)), hAPP(hAPP(c_COMBB(tc_fun(_u17073, tc_HOL_Obool), tc_fun(_u17073, tc_HOL_Obool), _u17073), hAPP(c_COMBS(_u17073, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17073), c_fimplies), hAPP(hAPP(c_COMBC(_u17073, tc_fun(_u17073, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17073)), _u17074)))), hAPP(c_COMBC(_u17073, _u17073, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u17073))))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inf__Sup ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inf__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17075) | ( c_Complete__Lattice_OInf__class_OInf(_u17075, _u17076) = c_Complete__Lattice_OSup__class_OSup(_u17075, hAPP(c_Set_OCollect(_u17075), hAPP(hAPP(c_COMBB(tc_fun(_u17075, tc_HOL_Obool), tc_HOL_Obool, _u17075), c_HOL_OAll(_u17075)), hAPP(hAPP(c_COMBB(tc_fun(_u17075, tc_HOL_Obool), tc_fun(_u17075, tc_HOL_Obool), _u17075), hAPP(c_COMBS(_u17075, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17075), c_fimplies), hAPP(hAPP(c_COMBC(_u17075, tc_fun(_u17075, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17075)), _u17076)))), c_Orderings_Oord__class_Oless__eq(_u17075)))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_subset__Pow__Union ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_subset__Pow__Union-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u17077, tc_HOL_Obool), tc_HOL_Obool)), _u17078), hAPP(c_Set_OPow(_u17077), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17077, tc_HOL_Obool), _u17078)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inter__anti__mono ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inter__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u17079, tc_HOL_Obool), tc_HOL_Obool)), _u17080), _u17081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17079, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17079, tc_HOL_Obool), _u17081)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17079, tc_HOL_Obool), _u17080))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Domain__Union ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Domain__Union-1, axiom, ( ( hAPP(c_Relation_ODomain(_u17082, _u17083), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u17082, _u17083), tc_HOL_Obool), _u17084)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u17082, _u17083), tc_HOL_Obool), tc_fun(_u17082, tc_HOL_Obool)), _u17084), c_Relation_ODomain(_u17082, _u17083))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Range__Union ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Range__Union-1, axiom, ( ( hAPP(c_Relation_ORange(_u17085, _u17086), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u17085, _u17086), tc_HOL_Obool), _u17087)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u17085, _u17086), tc_HOL_Obool), tc_fun(_u17086, tc_HOL_Obool)), _u17087), c_Relation_ORange(_u17085, _u17086))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Sigma__Union ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Sigma__Union-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u17088, _u17089), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17088, tc_HOL_Obool), _u17090)), _u17091) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17088, tc_HOL_Obool), tc_fun(tc_prod(_u17088, _u17089), tc_HOL_Obool)), _u17090), hAPP(hAPP(c_COMBC(tc_fun(_u17088, tc_HOL_Obool), tc_fun(_u17088, tc_fun(_u17089, tc_HOL_Obool)), tc_fun(tc_prod(_u17088, _u17089), tc_HOL_Obool)), c_Product__Type_OSigma(_u17088, _u17089)), _u17091))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_vimage__Union ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_vimage__Union-1, axiom, ( ( hAPP(c_Set_Ovimage(_u17092, _u17093, _u17094), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17093, tc_HOL_Obool), _u17095)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17093, tc_HOL_Obool), tc_fun(_u17092, tc_HOL_Obool)), _u17095), c_Set_Ovimage(_u17092, _u17093, _u17094))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Int__Union2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Int__Union2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17096, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17096, tc_HOL_Obool), _u17097)), _u17098) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17096, tc_HOL_Obool), tc_fun(_u17096, tc_HOL_Obool)), _u17097), hAPP(hAPP(c_COMBC(tc_fun(_u17096, tc_HOL_Obool), tc_fun(_u17096, tc_HOL_Obool), tc_fun(_u17096, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17096, tc_HOL_Obool))), _u17098))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Int__Union ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Int__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17099, tc_HOL_Obool)), _u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17099, tc_HOL_Obool), _u17101)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17099, tc_HOL_Obool), tc_fun(_u17099, tc_HOL_Obool)), _u17101), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17099, tc_HOL_Obool)), _u17100))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_UN__simps_I8_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_UN__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17102, tc_fun(_u17103, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17102, tc_HOL_Obool), _u17104)), _u17105) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17102, tc_HOL_Obool), tc_fun(_u17103, tc_HOL_Obool)), _u17104), hAPP(hAPP(c_COMBC(tc_fun(_u17102, tc_HOL_Obool), tc_fun(_u17102, tc_fun(_u17103, tc_HOL_Obool)), tc_fun(_u17103, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17102, tc_fun(_u17103, tc_HOL_Obool))), _u17105))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_UN__extend__simps_I8_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_UN__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17106, tc_HOL_Obool), tc_fun(_u17107, tc_HOL_Obool)), _u17108), hAPP(hAPP(c_COMBC(tc_fun(_u17106, tc_HOL_Obool), tc_fun(_u17106, tc_fun(_u17107, tc_HOL_Obool)), tc_fun(_u17107, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17106, tc_fun(_u17107, tc_HOL_Obool))), _u17109)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17106, tc_fun(_u17107, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17106, tc_HOL_Obool), _u17108)), _u17109)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_image__Union ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_image__Union-1, axiom, ( ( hAPP(c_Set_Oimage(_u17110, _u17111, _u17112), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17110, tc_HOL_Obool), _u17113)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17110, tc_HOL_Obool), tc_fun(_u17111, tc_HOL_Obool)), _u17113), c_Set_Oimage(_u17110, _u17111, _u17112))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Union__UNIV ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Union__UNIV-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17114, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u17114, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u17114, tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Union__Un__distrib ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Union__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17115, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u17115, tc_HOL_Obool), tc_HOL_Obool)), _u17116), _u17117)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17115, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17115, tc_HOL_Obool), _u17116)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17115, tc_HOL_Obool), _u17117))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inter__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inter__insert-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17118, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17118, tc_HOL_Obool)), _u17119), _u17120)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17118, tc_HOL_Obool)), _u17119), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17118, tc_HOL_Obool), _u17120))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Union__image__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Union__image__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17121, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17122, tc_fun(_u17121, tc_HOL_Obool), _u17123), _u17124)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17122, tc_fun(_u17121, tc_HOL_Obool)), _u17124), _u17123)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_UNION__eq__Union__image ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_UNION__eq__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17125, tc_fun(_u17126, tc_HOL_Obool)), _u17127), _u17128) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17126, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17125, tc_fun(_u17126, tc_HOL_Obool), _u17128), _u17127))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Sup__upper ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Sup__upper-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17129) | ~hBOOL(hAPP(hAPP(c_member(_u17129), _u17130), _u17131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17129), _u17130), c_Complete__Lattice_OSup__class_OSup(_u17129, _u17131))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inter__UNIV ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inter__UNIV-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17132, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u17132, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u17132, tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inf__lower ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inf__lower-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17133) | ~hBOOL(hAPP(hAPP(c_member(_u17133), _u17134), _u17135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17133), c_Complete__Lattice_OInf__class_OInf(_u17133, _u17135)), _u17134)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inter__Un__distrib ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inter__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17136, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u17136, tc_HOL_Obool), tc_HOL_Obool)), _u17137), _u17138)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17136, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17136, tc_HOL_Obool), _u17137)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17136, tc_HOL_Obool), _u17138))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Sup__empty ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Sup__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17139) | ( c_Complete__Lattice_OSup__class_OSup(_u17139, c_Orderings_Obot__class_Obot(tc_fun(_u17139, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u17139)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Sup__singleton ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Sup__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17140) | ( c_Complete__Lattice_OSup__class_OSup(_u17140, hAPP(hAPP(c_Set_Oinsert(_u17140), _u17141), c_Orderings_Obot__class_Obot(tc_fun(_u17140, tc_HOL_Obool)))) = _u17141) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Sup__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Sup__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17142) | ( c_Complete__Lattice_OSup__class_OSup(_u17142, hAPP(hAPP(c_Set_Oinsert(_u17142), _u17143), _u17144)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17142), _u17143), c_Complete__Lattice_OSup__class_OSup(_u17142, _u17144))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Int__Inter__image ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Int__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17145, tc_fun(_u17146, tc_HOL_Obool)), _u17147), hAPP(hAPP(c_COMBS(_u17145, tc_fun(_u17146, tc_HOL_Obool), tc_fun(_u17146, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17146, tc_HOL_Obool), tc_fun(tc_fun(_u17146, tc_HOL_Obool), tc_fun(_u17146, tc_HOL_Obool)), _u17145), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17146, tc_HOL_Obool))), _u17148)), _u17149)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17146, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17146, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17145, tc_fun(_u17146, tc_HOL_Obool), _u17148), _u17147))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17146, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17145, tc_fun(_u17146, tc_HOL_Obool), _u17149), _u17147)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Sup__UNIV ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Sup__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17150) | ( c_Complete__Lattice_OSup__class_OSup(_u17150, c_Orderings_Otop__class_Otop(tc_fun(_u17150, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u17150)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inf__singleton ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inf__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17151) | ( c_Complete__Lattice_OInf__class_OInf(_u17151, hAPP(hAPP(c_Set_Oinsert(_u17151), _u17152), c_Orderings_Obot__class_Obot(tc_fun(_u17151, tc_HOL_Obool)))) = _u17152) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inf__empty ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inf__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17153) | ( c_Complete__Lattice_OInf__class_OInf(_u17153, c_Orderings_Obot__class_Obot(tc_fun(_u17153, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u17153)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inf__UNIV ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inf__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17154) | ( c_Complete__Lattice_OInf__class_OInf(_u17154, c_Orderings_Otop__class_Otop(tc_fun(_u17154, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u17154)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inf__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inf__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17155) | ( c_Complete__Lattice_OInf__class_OInf(_u17155, hAPP(hAPP(c_Set_Oinsert(_u17155), _u17156), _u17157)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17155), _u17156), c_Complete__Lattice_OInf__class_OInf(_u17155, _u17157))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Un__eq__Union ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Un__eq__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17158, tc_HOL_Obool)), _u17159), _u17160) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17158, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17158, tc_HOL_Obool)), _u17159), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17158, tc_HOL_Obool)), _u17160), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17158, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Un__Union__image ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Un__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17161, tc_fun(_u17162, tc_HOL_Obool)), _u17163), hAPP(hAPP(c_COMBS(_u17161, tc_fun(_u17162, tc_HOL_Obool), tc_fun(_u17162, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17162, tc_HOL_Obool), tc_fun(tc_fun(_u17162, tc_HOL_Obool), tc_fun(_u17162, tc_HOL_Obool)), _u17161), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17162, tc_HOL_Obool))), _u17164)), _u17165)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17162, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17162, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17161, tc_fun(_u17162, tc_HOL_Obool), _u17164), _u17163))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17162, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17161, tc_fun(_u17162, tc_HOL_Obool), _u17165), _u17163)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Union__Int__subset ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Union__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17166, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17166, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u17166, tc_HOL_Obool), tc_HOL_Obool)), _u17167), _u17168))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17166, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17166, tc_HOL_Obool), _u17167)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17166, tc_HOL_Obool), _u17168)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Int__eq__Inter ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Int__eq__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17169, tc_HOL_Obool)), _u17170), _u17171) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17169, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17169, tc_HOL_Obool)), _u17170), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17169, tc_HOL_Obool)), _u17171), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17169, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inter__Un__subset ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inter__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17172, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17172, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17172, tc_HOL_Obool), _u17173)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17172, tc_HOL_Obool), _u17174))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17172, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u17172, tc_HOL_Obool), tc_HOL_Obool)), _u17173), _u17174)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Sup__binary ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Sup__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17175) | ( c_Complete__Lattice_OSup__class_OSup(_u17175, hAPP(hAPP(c_Set_Oinsert(_u17175), _u17176), hAPP(hAPP(c_Set_Oinsert(_u17175), _u17177), c_Orderings_Obot__class_Obot(tc_fun(_u17175, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17175), _u17176), _u17177)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inf__binary ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inf__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17178) | ( c_Complete__Lattice_OInf__class_OInf(_u17178, hAPP(hAPP(c_Set_Oinsert(_u17178), _u17179), hAPP(hAPP(c_Set_Oinsert(_u17178), _u17180), c_Orderings_Obot__class_Obot(tc_fun(_u17178, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17178), _u17179), _u17180)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_sup__Sup__fold__sup ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_sup__Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17181), _u17182)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17181), _u17183), c_Complete__Lattice_OSup__class_OSup(_u17181, _u17182)) = hAPP(hAPP(c_Finite__Set_Ofold(_u17181, _u17181, c_Lattices_Osemilattice__sup__class_Osup(_u17181)), _u17183), _u17182)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Sup__fin__Sup ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Sup__fin__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17184) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17184), _u17185)) | ( _u17185 = c_Orderings_Obot__class_Obot(tc_fun(_u17184, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u17184, _u17185) = c_Complete__Lattice_OSup__class_OSup(_u17184, _u17185)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_inf__Inf__fold__inf ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_inf__Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17186) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17186), _u17187)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17186), _u17188), c_Complete__Lattice_OInf__class_OInf(_u17186, _u17187)) = hAPP(hAPP(c_Finite__Set_Ofold(_u17186, _u17186, c_Lattices_Osemilattice__inf__class_Oinf(_u17186)), _u17188), _u17187)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inf__fin__Inf ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inf__fin__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17189) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17189), _u17190)) | ( _u17190 = c_Orderings_Obot__class_Obot(tc_fun(_u17189, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u17189, _u17190) = c_Complete__Lattice_OInf__class_OInf(_u17189, _u17190)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_image__INT ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_image__INT-1, axiom, ( ~c_Fun_Oinj__on(_u17192, _u17193, _u17194, _u17195) | ~hBOOL(hAPP(hAPP(c_member(_u17196), _u17199), _u17197)) | ( hAPP(c_Set_Oimage(_u17192, _u17193, _u17194), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17196, tc_fun(_u17192, tc_HOL_Obool)), _u17197), _u17198)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17196, tc_fun(_u17193, tc_HOL_Obool)), _u17197), hAPP(hAPP(c_COMBB(tc_fun(_u17192, tc_HOL_Obool), tc_fun(_u17193, tc_HOL_Obool), _u17196), c_Set_Oimage(_u17192, _u17193, _u17194)), _u17198))) | hBOOL(hAPP(hAPP(c_member(_u17196), skolem415(_u17199, _u17198, _u17197, _u17196, _u17195, _u17194, _u17193, _u17192)), _u17197)) )).
% 27.68/27.91 cnf(fact_image__INT-2, axiom, ( ~c_Fun_Oinj__on(_u17192, _u17193, _u17194, _u17195) | ~hBOOL(hAPP(hAPP(c_member(_u17196), _u17199), _u17197)) | ( hAPP(c_Set_Oimage(_u17192, _u17193, _u17194), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17196, tc_fun(_u17192, tc_HOL_Obool)), _u17197), _u17198)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17196, tc_fun(_u17193, tc_HOL_Obool)), _u17197), hAPP(hAPP(c_COMBB(tc_fun(_u17192, tc_HOL_Obool), tc_fun(_u17193, tc_HOL_Obool), _u17196), c_Set_Oimage(_u17192, _u17193, _u17194)), _u17198))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17192, tc_HOL_Obool)), hAPP(_u17198, skolem415(_u17199, _u17198, _u17197, _u17196, _u17195, _u17194, _u17193, _u17192))), _u17195)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_card__partition ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_card__partition-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem416(_u17205, _u17204, _u17203)), _u17204)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem417(_u17205, _u17204, _u17203)), _u17204)) )).
% 27.68/27.91 cnf(fact_card__partition-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem416(_u17205, _u17204, _u17203)), _u17204)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem418(_u17205, _u17204, _u17203)), _u17204)) )).
% 27.68/27.91 cnf(fact_card__partition-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem416(_u17205, _u17204, _u17203)), _u17204)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( skolem417(_u17205, _u17204, _u17203) != skolem418(_u17205, _u17204, _u17203)) )).
% 27.68/27.91 cnf(fact_card__partition-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem416(_u17205, _u17204, _u17203)), _u17204)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17203, tc_HOL_Obool)), skolem417(_u17205, _u17204, _u17203)), skolem418(_u17205, _u17204, _u17203)) != c_Orderings_Obot__class_Obot(tc_fun(_u17203, tc_HOL_Obool))) )).
% 27.68/27.91 cnf(fact_card__partition-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( hAPP(c_Finite__Set_Ocard(_u17203), skolem416(_u17205, _u17204, _u17203)) != _u17205) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem417(_u17205, _u17204, _u17203)), _u17204)) )).
% 27.68/27.91 cnf(fact_card__partition-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( hAPP(c_Finite__Set_Ocard(_u17203), skolem416(_u17205, _u17204, _u17203)) != _u17205) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem418(_u17205, _u17204, _u17203)), _u17204)) )).
% 27.68/27.91 cnf(fact_card__partition-7, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( hAPP(c_Finite__Set_Ocard(_u17203), skolem416(_u17205, _u17204, _u17203)) != _u17205) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( skolem417(_u17205, _u17204, _u17203) != skolem418(_u17205, _u17204, _u17203)) )).
% 27.68/27.91 cnf(fact_card__partition-8, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( hAPP(c_Finite__Set_Ocard(_u17203), skolem416(_u17205, _u17204, _u17203)) != _u17205) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17203, tc_HOL_Obool)), skolem417(_u17205, _u17204, _u17203)), skolem418(_u17205, _u17204, _u17203)) != c_Orderings_Obot__class_Obot(tc_fun(_u17203, tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inter__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inter__def-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17206, tc_HOL_Obool), _u17207) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u17206, tc_HOL_Obool), tc_fun(_u17206, tc_HOL_Obool)), _u17207), c_COMBI(tc_fun(_u17206, tc_HOL_Obool)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Union__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Union__def-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17208, tc_HOL_Obool), _u17209) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17208, tc_HOL_Obool), tc_fun(_u17208, tc_HOL_Obool)), _u17209), c_COMBI(tc_fun(_u17208, tc_HOL_Obool)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_finite__Union ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_finite__Union-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17211, tc_HOL_Obool)), _u17212)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17211, tc_HOL_Obool), _u17212))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17211, tc_HOL_Obool)), skolem419(_u17212, _u17211)), _u17212)) )).
% 27.68/27.91 cnf(fact_finite__Union-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17211, tc_HOL_Obool)), _u17212)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17211, tc_HOL_Obool), _u17212))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17211), skolem419(_u17212, _u17211))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_insert__partition ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_insert__partition-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17215, tc_HOL_Obool)), _u17216), _u17217)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17215, tc_HOL_Obool)), _u17216), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17215, tc_HOL_Obool), _u17217)) = c_Orderings_Obot__class_Obot(tc_fun(_u17215, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17215, tc_HOL_Obool)), skolem420(_u17217, _u17216, _u17215)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17215, tc_HOL_Obool)), _u17216), _u17217))) )).
% 27.68/27.91 cnf(fact_insert__partition-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17215, tc_HOL_Obool)), _u17216), _u17217)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17215, tc_HOL_Obool)), _u17216), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17215, tc_HOL_Obool), _u17217)) = c_Orderings_Obot__class_Obot(tc_fun(_u17215, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17215, tc_HOL_Obool)), skolem421(_u17217, _u17216, _u17215)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17215, tc_HOL_Obool)), _u17216), _u17217))) )).
% 27.68/27.91 cnf(fact_insert__partition-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17215, tc_HOL_Obool)), _u17216), _u17217)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17215, tc_HOL_Obool)), _u17216), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17215, tc_HOL_Obool), _u17217)) = c_Orderings_Obot__class_Obot(tc_fun(_u17215, tc_HOL_Obool))) | ( skolem420(_u17217, _u17216, _u17215) != skolem421(_u17217, _u17216, _u17215)) )).
% 27.68/27.91 cnf(fact_insert__partition-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17215, tc_HOL_Obool)), _u17216), _u17217)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17215, tc_HOL_Obool)), _u17216), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17215, tc_HOL_Obool), _u17217)) = c_Orderings_Obot__class_Obot(tc_fun(_u17215, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17215, tc_HOL_Obool)), skolem420(_u17217, _u17216, _u17215)), skolem421(_u17217, _u17216, _u17215)) != c_Orderings_Obot__class_Obot(tc_fun(_u17215, tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_inj__on__Inter ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_inj__on__Inter-1, axiom, ( ( _u17219 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17220, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17220, _u17221, _u17222, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17220, tc_HOL_Obool), _u17219)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17220, tc_HOL_Obool)), skolem422(_u17222, _u17221, _u17220, _u17219)), _u17219)) )).
% 27.68/27.91 cnf(fact_inj__on__Inter-2, axiom, ( ( _u17219 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17220, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17220, _u17221, _u17222, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17220, tc_HOL_Obool), _u17219)) | ~c_Fun_Oinj__on(_u17220, _u17221, _u17222, skolem422(_u17222, _u17221, _u17220, _u17219)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Inter__subset ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Inter__subset-1, axiom, ( ( _u17225 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17224, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17224, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17224, tc_HOL_Obool), _u17225)), _u17226)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17224, tc_HOL_Obool)), skolem423(_u17226, _u17225, _u17224)), _u17225)) )).
% 27.68/27.91 cnf(fact_Inter__subset-2, axiom, ( ( _u17225 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17224, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17224, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17224, tc_HOL_Obool), _u17225)), _u17226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17224, tc_HOL_Obool)), skolem423(_u17226, _u17225, _u17224)), _u17226)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_inj__on__INTER ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_inj__on__INTER-1, axiom, ( ( _u17228 = c_Orderings_Obot__class_Obot(tc_fun(_u17229, tc_HOL_Obool))) | c_Fun_Oinj__on(_u17230, _u17231, _u17232, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17229, tc_fun(_u17230, tc_HOL_Obool)), _u17228), _u17233)) | hBOOL(hAPP(hAPP(c_member(_u17229), skolem424(_u17233, _u17232, _u17231, _u17230, _u17229, _u17228)), _u17228)) )).
% 27.68/27.91 cnf(fact_inj__on__INTER-2, axiom, ( ( _u17228 = c_Orderings_Obot__class_Obot(tc_fun(_u17229, tc_HOL_Obool))) | c_Fun_Oinj__on(_u17230, _u17231, _u17232, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17229, tc_fun(_u17230, tc_HOL_Obool)), _u17228), _u17233)) | ~c_Fun_Oinj__on(_u17230, _u17231, _u17232, hAPP(_u17233, skolem424(_u17233, _u17232, _u17231, _u17230, _u17229, _u17228))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm_Ofold__graph__insertE ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm_Ofold__graph__insertE-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u17235, _u17236, _u17237) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u17235, _u17236, _u17237, _u17238, hAPP(hAPP(c_Set_Oinsert(_u17235), _u17239), _u17240)), _u17241)) | hBOOL(hAPP(hAPP(c_member(_u17235), _u17239), _u17240)) | ( _u17241 = hAPP(hAPP(_u17237, _u17239), skolem425(_u17241, _u17240, _u17239, _u17238, _u17237, _u17236, _u17235))) )).
% 27.68/27.91 cnf(fact_fun__left__comm_Ofold__graph__insertE-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u17235, _u17236, _u17237) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u17235, _u17236, _u17237, _u17238, hAPP(hAPP(c_Set_Oinsert(_u17235), _u17239), _u17240)), _u17241)) | hBOOL(hAPP(hAPP(c_member(_u17235), _u17239), _u17240)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u17235, _u17236, _u17237, _u17238, _u17240), skolem425(_u17241, _u17240, _u17239, _u17238, _u17237, _u17236, _u17235))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_min__max_Ofold__sup__le__sup ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_min__max_Ofold__sup__le__sup-1, axiom, ( ~class_Orderings_Olinorder(_u17243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17243), _u17244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17243), hAPP(hAPP(c_Finite__Set_Ofold(_u17243, _u17243, c_Orderings_Oord__class_Omax(_u17243)), _u17246), _u17244)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u17243), _u17245), _u17246))) | hBOOL(hAPP(hAPP(c_member(_u17243), skolem426(_u17246, _u17245, _u17244, _u17243)), _u17244)) )).
% 27.68/27.91 cnf(fact_min__max_Ofold__sup__le__sup-2, axiom, ( ~class_Orderings_Olinorder(_u17243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17243), _u17244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17243), hAPP(hAPP(c_Finite__Set_Ofold(_u17243, _u17243, c_Orderings_Oord__class_Omax(_u17243)), _u17246), _u17244)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u17243), _u17245), _u17246))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17243), skolem426(_u17246, _u17245, _u17244, _u17243)), _u17245)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_min__max_Oinf__le__fold__inf ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_min__max_Oinf__le__fold__inf-1, axiom, ( ~class_Orderings_Olinorder(_u17248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17248), _u17249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17248), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u17248), _u17250), _u17251)), hAPP(hAPP(c_Finite__Set_Ofold(_u17248, _u17248, c_Orderings_Oord__class_Omin(_u17248)), _u17251), _u17249))) | hBOOL(hAPP(hAPP(c_member(_u17248), skolem427(_u17251, _u17250, _u17249, _u17248)), _u17249)) )).
% 27.68/27.91 cnf(fact_min__max_Oinf__le__fold__inf-2, axiom, ( ~class_Orderings_Olinorder(_u17248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17248), _u17249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17248), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u17248), _u17250), _u17251)), hAPP(hAPP(c_Finite__Set_Ofold(_u17248, _u17248, c_Orderings_Oord__class_Omin(_u17248)), _u17251), _u17249))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17248), _u17250), skolem427(_u17251, _u17250, _u17249, _u17248))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_InterI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_InterI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17253), _u17255), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17253, tc_HOL_Obool), _u17254))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17253, tc_HOL_Obool)), skolem428(_u17255, _u17254, _u17253)), _u17254)) )).
% 27.68/27.91 cnf(fact_InterI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17253), _u17255), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17253, tc_HOL_Obool), _u17254))) | ~hBOOL(hAPP(hAPP(c_member(_u17253), _u17255), skolem428(_u17255, _u17254, _u17253))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_inf__le__fold__inf ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_inf__le__fold__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u17257) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17257), _u17258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17257), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17257), _u17259), _u17260)), hAPP(hAPP(c_Finite__Set_Ofold(_u17257, _u17257, c_Lattices_Osemilattice__inf__class_Oinf(_u17257)), _u17260), _u17258))) | hBOOL(hAPP(hAPP(c_member(_u17257), skolem429(_u17260, _u17259, _u17258, _u17257)), _u17258)) )).
% 27.68/27.91 cnf(fact_inf__le__fold__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u17257) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17257), _u17258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17257), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17257), _u17259), _u17260)), hAPP(hAPP(c_Finite__Set_Ofold(_u17257, _u17257, c_Lattices_Osemilattice__inf__class_Oinf(_u17257)), _u17260), _u17258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17257), _u17259), skolem429(_u17260, _u17259, _u17258, _u17257))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fold__sup__le__sup ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fold__sup__le__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u17262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17262), _u17263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17262), hAPP(hAPP(c_Finite__Set_Ofold(_u17262, _u17262, c_Lattices_Osemilattice__sup__class_Osup(_u17262)), _u17265), _u17263)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17262), _u17264), _u17265))) | hBOOL(hAPP(hAPP(c_member(_u17262), skolem430(_u17265, _u17264, _u17263, _u17262)), _u17263)) )).
% 27.68/27.91 cnf(fact_fold__sup__le__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u17262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17262), _u17263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17262), hAPP(hAPP(c_Finite__Set_Ofold(_u17262, _u17262, c_Lattices_Osemilattice__sup__class_Osup(_u17262)), _u17265), _u17263)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17262), _u17264), _u17265))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17262), skolem430(_u17265, _u17264, _u17263, _u17262)), _u17264)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_wf__eq__minimal ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_wf__eq__minimal-1, axiom, ( ~c_Wellfounded_Owf(_u17276, _u17278) | ~hBOOL(hAPP(hAPP(c_member(_u17276), _u17266), _u17269)) | hBOOL(hAPP(hAPP(c_member(_u17276), skolem431(_u17278, _u17276, _u17269)), _u17269)) )).
% 27.68/27.91 cnf(fact_wf__eq__minimal-2, axiom, ( ~c_Wellfounded_Owf(_u17276, _u17278) | ~hBOOL(hAPP(hAPP(c_member(_u17276), _u17266), _u17269)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17276, _u17276)), hAPP(hAPP(c_Product__Type_OPair(_u17276, _u17276), _u17267), skolem431(_u17278, _u17276, _u17269))), _u17278)) | ~hBOOL(hAPP(hAPP(c_member(_u17276), _u17267), _u17269)) )).
% 27.68/27.91 cnf(fact_wf__eq__minimal-3, axiom, ( c_Wellfounded_Owf(_u17277, _u17279) | hBOOL(hAPP(hAPP(c_member(_u17277), skolem433(_u17279, _u17277)), skolem432(_u17279, _u17277))) )).
% 27.68/27.91 cnf(fact_wf__eq__minimal-4, axiom, ( c_Wellfounded_Owf(_u17277, _u17279) | ~hBOOL(hAPP(hAPP(c_member(_u17277), _u17272), skolem432(_u17279, _u17277))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17277, _u17277)), hAPP(hAPP(c_Product__Type_OPair(_u17277, _u17277), skolem434(_u17279, _u17277, _u17272)), _u17272)), _u17279)) )).
% 27.68/27.91 cnf(fact_wf__eq__minimal-5, axiom, ( c_Wellfounded_Owf(_u17277, _u17279) | ~hBOOL(hAPP(hAPP(c_member(_u17277), _u17272), skolem432(_u17279, _u17277))) | hBOOL(hAPP(hAPP(c_member(_u17277), skolem434(_u17279, _u17277, _u17272)), skolem432(_u17279, _u17277))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_folding__image__simple__idem_Ounion__idem ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_folding__image__simple__idem_Ounion__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17281), _u17286)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17281), _u17287)) | ( hAPP(_u17285, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17281, tc_HOL_Obool)), _u17286), _u17287)) = hAPP(hAPP(_u17282, hAPP(_u17285, _u17286)), hAPP(_u17285, _u17287))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17280, _u17281, _u17282, _u17283, _u17284, _u17285) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_transfer__nat__int__set__cong ( axiom ) converted to clauses:
% 27.68/27.91 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)))), _u17289)) = 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)))), _u17290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem435(_u17290, _u17289))) )).
% 27.68/27.91 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)))), _u17289)) = 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)))), _u17290))) | hBOOL(hAPP(_u17289, skolem435(_u17290, _u17289))) | hBOOL(hAPP(_u17290, skolem435(_u17290, _u17289))) )).
% 27.68/27.91 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)))), _u17289)) = 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)))), _u17290))) | ~hBOOL(hAPP(_u17290, skolem435(_u17290, _u17289))) | ~hBOOL(hAPP(_u17289, skolem435(_u17290, _u17289))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_folding__image__simple__idem_Oidem ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_folding__image__simple__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u17293, _u17297), _u17297) = _u17297) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17291, _u17292, _u17293, _u17294, _u17295, _u17296) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_folding__image__simple__idem_Oin__idem ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_folding__image__simple__idem_Oin__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17299), _u17304)) | ~hBOOL(hAPP(hAPP(c_member(_u17299), _u17305), _u17304)) | ( hAPP(hAPP(_u17300, hAPP(_u17302, _u17305)), hAPP(_u17303, _u17304)) = hAPP(_u17303, _u17304)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17298, _u17299, _u17300, _u17301, _u17302, _u17303) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_folding__image__simple__idem_Oinsert__idem ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_folding__image__simple__idem_Oinsert__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17307), _u17312)) | ( hAPP(_u17311, hAPP(hAPP(c_Set_Oinsert(_u17307), _u17313), _u17312)) = hAPP(hAPP(_u17308, hAPP(_u17310, _u17313)), hAPP(_u17311, _u17312))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17306, _u17307, _u17308, _u17309, _u17310, _u17311) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_folding__image__simple__idem_Osubset__idem ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_folding__image__simple__idem_Osubset__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17315), _u17320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17315, tc_HOL_Obool)), _u17321), _u17320)) | ( hAPP(hAPP(_u17316, hAPP(_u17319, _u17321)), hAPP(_u17319, _u17320)) = hAPP(_u17319, _u17320)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17314, _u17315, _u17316, _u17317, _u17318, _u17319) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Int__Collect__mono ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Int__Collect__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17323, tc_HOL_Obool)), _u17324), _u17325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17323, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17323, tc_HOL_Obool)), _u17324), hAPP(c_Set_OCollect(_u17323), _u17326))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17323, tc_HOL_Obool)), _u17325), hAPP(c_Set_OCollect(_u17323), _u17327)))) | hBOOL(hAPP(hAPP(c_member(_u17323), skolem436(_u17327, _u17326, _u17325, _u17324, _u17323)), _u17324)) )).
% 27.68/27.91 cnf(fact_Int__Collect__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17323, tc_HOL_Obool)), _u17324), _u17325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17323, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17323, tc_HOL_Obool)), _u17324), hAPP(c_Set_OCollect(_u17323), _u17326))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17323, tc_HOL_Obool)), _u17325), hAPP(c_Set_OCollect(_u17323), _u17327)))) | hBOOL(hAPP(_u17326, skolem436(_u17327, _u17326, _u17325, _u17324, _u17323))) )).
% 27.68/27.91 cnf(fact_Int__Collect__mono-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17323, tc_HOL_Obool)), _u17324), _u17325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17323, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17323, tc_HOL_Obool)), _u17324), hAPP(c_Set_OCollect(_u17323), _u17326))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17323, tc_HOL_Obool)), _u17325), hAPP(c_Set_OCollect(_u17323), _u17327)))) | ~hBOOL(hAPP(_u17327, skolem436(_u17327, _u17326, _u17325, _u17324, _u17323))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_UnionE ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_UnionE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17329), _u17330), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17329, tc_HOL_Obool), _u17331))) | hBOOL(hAPP(hAPP(c_member(_u17329), _u17330), skolem437(_u17331, _u17330, _u17329))) )).
% 27.68/27.91 cnf(fact_UnionE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17329), _u17330), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17329, tc_HOL_Obool), _u17331))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17329, tc_HOL_Obool)), skolem437(_u17331, _u17330, _u17329)), _u17331)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__upd__left ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__upd__left-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17332), _u17333), c_Map_Odom(_u17332, _u17334, _u17335))) | ( c_Map_Omap__add(_u17332, _u17334, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17332, tc_Option_Ooption(_u17334)), _u17336), _u17333), hAPP(c_Option_Ooption_OSome(_u17334), _u17337)), _u17335) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17332, tc_Option_Ooption(_u17334)), c_Map_Omap__add(_u17332, _u17334, _u17336, _u17335)), _u17333), hAPP(c_Option_Ooption_OSome(_u17334), _u17337))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_converseE ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17340, _u17341)), _u17342), hAPP(c_Relation_Oconverse(_u17341, _u17340), _u17343))) | ( _u17342 = hAPP(hAPP(c_Product__Type_OPair(_u17340, _u17341), skolem439(_u17343, _u17342, _u17341, _u17340)), skolem438(_u17343, _u17342, _u17341, _u17340))) )).
% 27.68/27.91 cnf(fact_converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17340, _u17341)), _u17342), hAPP(c_Relation_Oconverse(_u17341, _u17340), _u17343))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17341, _u17340)), hAPP(hAPP(c_Product__Type_OPair(_u17341, _u17340), skolem438(_u17343, _u17342, _u17341, _u17340)), skolem439(_u17343, _u17342, _u17341, _u17340))), _u17343)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__Some__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__Some__iff-1, axiom, ( ( hAPP(c_Map_Omap__add(_u17350, _u17352, _u17354, _u17356), _u17358) != hAPP(c_Option_Ooption_OSome(_u17352), _u17360)) | ( hAPP(_u17356, _u17358) = hAPP(c_Option_Ooption_OSome(_u17352), _u17360)) | ( hAPP(_u17356, _u17358) = c_Option_Ooption_ONone(_u17352)) )).
% 27.68/27.91 cnf(fact_map__add__Some__iff-2, axiom, ( ( hAPP(c_Map_Omap__add(_u17350, _u17352, _u17354, _u17356), _u17358) != hAPP(c_Option_Ooption_OSome(_u17352), _u17360)) | ( hAPP(_u17356, _u17358) = hAPP(c_Option_Ooption_OSome(_u17352), _u17360)) | ( hAPP(_u17354, _u17358) = hAPP(c_Option_Ooption_OSome(_u17352), _u17360)) )).
% 27.68/27.91 cnf(fact_map__add__Some__iff-3, axiom, ( ( hAPP(c_Map_Omap__add(_u17351, _u17353, _u17355, _u17357), _u17359) = hAPP(c_Option_Ooption_OSome(_u17353), _u17361)) | ( hAPP(_u17357, _u17359) != hAPP(c_Option_Ooption_OSome(_u17353), _u17361)) )).
% 27.68/27.91 cnf(fact_map__add__Some__iff-4, axiom, ( ( hAPP(c_Map_Omap__add(_u17351, _u17353, _u17355, _u17357), _u17359) = hAPP(c_Option_Ooption_OSome(_u17353), _u17361)) | ( hAPP(_u17357, _u17359) != c_Option_Ooption_ONone(_u17353)) | ( hAPP(_u17355, _u17359) != hAPP(c_Option_Ooption_OSome(_u17353), _u17361)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__SomeD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__SomeD-1, axiom, ( ( hAPP(c_Map_Omap__add(_u17362, _u17363, _u17364, _u17365), _u17366) != hAPP(c_Option_Ooption_OSome(_u17363), _u17367)) | ( hAPP(_u17365, _u17366) = hAPP(c_Option_Ooption_OSome(_u17363), _u17367)) | ( hAPP(_u17365, _u17366) = c_Option_Ooption_ONone(_u17363)) )).
% 27.68/27.91 cnf(fact_map__add__SomeD-2, axiom, ( ( hAPP(c_Map_Omap__add(_u17362, _u17363, _u17364, _u17365), _u17366) != hAPP(c_Option_Ooption_OSome(_u17363), _u17367)) | ( hAPP(_u17365, _u17366) = hAPP(c_Option_Ooption_OSome(_u17363), _u17367)) | ( hAPP(_u17364, _u17366) = hAPP(c_Option_Ooption_OSome(_u17363), _u17367)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_dom__map__add ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_dom__map__add-1, axiom, ( ( c_Map_Odom(_u17368, _u17369, c_Map_Omap__add(_u17368, _u17369, _u17370, _u17371)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17368, tc_HOL_Obool)), c_Map_Odom(_u17368, _u17369, _u17371)), c_Map_Odom(_u17368, _u17369, _u17370))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__dom__app__simps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__dom__app__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17372), _u17373), c_Map_Odom(_u17372, _u17374, _u17375))) | ( hAPP(c_Map_Omap__add(_u17372, _u17374, _u17376, _u17375), _u17373) = hAPP(_u17375, _u17373)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__dom__app__simps_I3_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__dom__app__simps_I3_J-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17377), _u17378), c_Map_Odom(_u17377, _u17379, _u17380))) | ( hAPP(c_Map_Omap__add(_u17377, _u17379, _u17381, _u17380), _u17378) = hAPP(_u17381, _u17378)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__dom__app__simps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__dom__app__simps_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17382), _u17383), c_Map_Odom(_u17382, _u17384, _u17385))) | ( hAPP(c_Map_Omap__add(_u17382, _u17384, _u17385, _u17386), _u17383) = hAPP(_u17386, _u17383)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_empty__map__add ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_empty__map__add-1, axiom, ( ( c_Map_Omap__add(_u17387, _u17388, hAPP(c_COMBK(tc_Option_Ooption(_u17388), _u17387), c_Option_Ooption_ONone(_u17388)), _u17389) = _u17389) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__empty ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__empty-1, axiom, ( ( c_Map_Omap__add(_u17390, _u17391, _u17392, hAPP(c_COMBK(tc_Option_Ooption(_u17391), _u17390), c_Option_Ooption_ONone(_u17391))) = _u17392) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__None ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__None-1, axiom, ( ( hAPP(c_Map_Omap__add(_u17398, _u17400, _u17402, _u17404), _u17406) != c_Option_Ooption_ONone(_u17400)) | ( hAPP(_u17404, _u17406) = c_Option_Ooption_ONone(_u17400)) )).
% 27.68/27.91 cnf(fact_map__add__None-2, axiom, ( ( hAPP(c_Map_Omap__add(_u17398, _u17400, _u17402, _u17404), _u17406) != c_Option_Ooption_ONone(_u17400)) | ( hAPP(_u17402, _u17406) = c_Option_Ooption_ONone(_u17400)) )).
% 27.68/27.91 cnf(fact_map__add__None-3, axiom, ( ( hAPP(_u17405, _u17407) != c_Option_Ooption_ONone(_u17401)) | ( hAPP(_u17403, _u17407) != c_Option_Ooption_ONone(_u17401)) | ( hAPP(c_Map_Omap__add(_u17399, _u17401, _u17403, _u17405), _u17407) = c_Option_Ooption_ONone(_u17401)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__find__right ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__find__right-1, axiom, ( ( hAPP(_u17408, _u17409) != hAPP(c_Option_Ooption_OSome(_u17410), _u17411)) | ( hAPP(c_Map_Omap__add(_u17412, _u17410, _u17413, _u17408), _u17409) = hAPP(c_Option_Ooption_OSome(_u17410), _u17411)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__assoc ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__assoc-1, axiom, ( ( c_Map_Omap__add(_u17414, _u17415, _u17416, c_Map_Omap__add(_u17414, _u17415, _u17417, _u17418)) = c_Map_Omap__add(_u17414, _u17415, c_Map_Omap__add(_u17414, _u17415, _u17416, _u17417), _u17418)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__def-1, axiom, ( ( hAPP(c_Map_Omap__add(_u17419, _u17420, _u17421, _u17422), _u17423) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17420), _u17420, hAPP(_u17421, _u17423), c_Option_Ooption_OSome(_u17420)), hAPP(_u17422, _u17423))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__upd ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__upd-1, axiom, ( ( c_Map_Omap__add(_u17424, _u17425, _u17426, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17424, tc_Option_Ooption(_u17425)), _u17427), _u17428), hAPP(c_Option_Ooption_OSome(_u17425), _u17429))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17424, tc_Option_Ooption(_u17425)), c_Map_Omap__add(_u17424, _u17425, _u17426, _u17427)), _u17428), hAPP(c_Option_Ooption_OSome(_u17425), _u17429))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_inj__on__map__add__dom ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_inj__on__map__add__dom-1, axiom, ( ~c_Fun_Oinj__on(_u17434, tc_Option_Ooption(_u17436), c_Map_Omap__add(_u17434, _u17436, _u17438, _u17440), c_Map_Odom(_u17434, _u17436, _u17440)) | c_Fun_Oinj__on(_u17434, tc_Option_Ooption(_u17436), _u17440, c_Map_Odom(_u17434, _u17436, _u17440)) )).
% 27.68/27.91 cnf(fact_inj__on__map__add__dom-2, axiom, ( ~c_Fun_Oinj__on(_u17435, tc_Option_Ooption(_u17437), _u17441, c_Map_Odom(_u17435, _u17437, _u17441)) | c_Fun_Oinj__on(_u17435, tc_Option_Ooption(_u17437), c_Map_Omap__add(_u17435, _u17437, _u17439, _u17441), c_Map_Odom(_u17435, _u17437, _u17441)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__comm ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__comm-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17442, tc_HOL_Obool)), c_Map_Odom(_u17442, _u17443, _u17444)), c_Map_Odom(_u17442, _u17443, _u17445)) != c_Orderings_Obot__class_Obot(tc_fun(_u17442, tc_HOL_Obool))) | ( c_Map_Omap__add(_u17442, _u17443, _u17444, _u17445) = c_Map_Omap__add(_u17442, _u17443, _u17445, _u17444)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_finite__range__map__of__map__add ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_finite__range__map__of__map__add-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17446)), hAPP(c_Set_Oimage(_u17447, tc_Option_Ooption(_u17446), _u17448), c_Orderings_Otop__class_Otop(tc_fun(_u17447, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17446)), hAPP(c_Set_Oimage(_u17447, tc_Option_Ooption(_u17446), c_Map_Omap__add(_u17447, _u17446, _u17448, c_Map_Omap__of(_u17447, _u17446, _u17449))), c_Orderings_Otop__class_Otop(tc_fun(_u17447, tc_HOL_Obool))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rel__compE ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rel__compE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17453, _u17454)), _u17455), hAPP(hAPP(c_Relation_Orel__comp(_u17453, _u17456, _u17454), _u17457), _u17458))) | ( _u17455 = hAPP(hAPP(c_Product__Type_OPair(_u17453, _u17454), skolem440(_u17458, _u17457, _u17456, _u17455, _u17454, _u17453)), skolem442(_u17458, _u17457, _u17456, _u17455, _u17454, _u17453))) )).
% 27.68/27.91 cnf(fact_rel__compE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17453, _u17454)), _u17455), hAPP(hAPP(c_Relation_Orel__comp(_u17453, _u17456, _u17454), _u17457), _u17458))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17453, _u17456)), hAPP(hAPP(c_Product__Type_OPair(_u17453, _u17456), skolem440(_u17458, _u17457, _u17456, _u17455, _u17454, _u17453)), skolem441(_u17458, _u17457, _u17456, _u17455, _u17454, _u17453))), _u17457)) )).
% 27.68/27.91 cnf(fact_rel__compE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17453, _u17454)), _u17455), hAPP(hAPP(c_Relation_Orel__comp(_u17453, _u17456, _u17454), _u17457), _u17458))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17456, _u17454)), hAPP(hAPP(c_Product__Type_OPair(_u17456, _u17454), skolem441(_u17458, _u17457, _u17456, _u17455, _u17454, _u17453)), skolem442(_u17458, _u17457, _u17456, _u17455, _u17454, _u17453))), _u17458)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_finite__dom__map__of ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_finite__dom__map__of-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17459), c_Map_Odom(_u17459, _u17460, c_Map_Omap__of(_u17459, _u17460, _u17461)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_finite__range__map__of ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_finite__range__map__of-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17462)), hAPP(c_Set_Oimage(_u17463, tc_Option_Ooption(_u17462), c_Map_Omap__of(_u17463, _u17462, _u17464)), c_Orderings_Otop__class_Otop(tc_fun(_u17463, tc_HOL_Obool))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__map__of__foldr ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__map__of__foldr-1, axiom, ( ( c_Map_Omap__add(_u17465, _u17466, _u17467, c_Map_Omap__of(_u17465, _u17466, _u17468)) = c_List_Ofoldr(tc_prod(_u17465, _u17466), tc_fun(_u17465, tc_Option_Ooption(_u17466)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17465, _u17466, tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(_u17465, tc_Option_Ooption(_u17466)))), hAPP(hAPP(c_COMBC(_u17465, tc_fun(_u17466, tc_Option_Ooption(_u17466)), tc_fun(_u17466, tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(_u17465, tc_Option_Ooption(_u17466))))), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17466), tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(_u17465, tc_Option_Ooption(_u17466)))), tc_fun(tc_fun(_u17466, tc_Option_Ooption(_u17466)), tc_fun(_u17466, tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(_u17465, tc_Option_Ooption(_u17466))))), _u17465), c_COMBB(tc_Option_Ooption(_u17466), tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(_u17465, tc_Option_Ooption(_u17466))), _u17466)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(tc_Option_Ooption(_u17466), tc_fun(_u17465, tc_Option_Ooption(_u17466)))), tc_fun(tc_Option_Ooption(_u17466), tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(_u17465, tc_Option_Ooption(_u17466)))), _u17465), c_COMBC(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_Option_Ooption(_u17466), tc_fun(_u17465, tc_Option_Ooption(_u17466)))), hAPP(c_COMBC(tc_fun(_u17465, tc_Option_Ooption(_u17466)), _u17465, tc_fun(tc_Option_Ooption(_u17466), tc_fun(_u17465, tc_Option_Ooption(_u17466)))), c_Fun_Ofun__upd(_u17465, tc_Option_Ooption(_u17466)))))), c_Option_Ooption_OSome(_u17466))), _u17468, _u17467)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_ ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_-1, axiom, ( ( c_Smallcheck_Oorelse(_u17469, _u17470, _u17471) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17469), _u17469, _u17471, c_Option_Ooption_OSome(_u17469)), _u17470)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_full__small__int__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_full__small__int__def-1, axiom, ( ( c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint, _u17472, _u17473) = c_Smallcheck_Ofull__small_H(_u17472, hAPP(c_Code__Numeral_Oint__of, _u17473), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u17473)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_small_H_Osimps ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_small_H_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17477), _u17479)) | ( c_Smallcheck_Osmall_H(_u17481, _u17477, _u17479) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 27.68/27.91 cnf(fact_small_H_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17478), _u17480)) | ( c_Smallcheck_Osmall_H(_u17482, _u17478, _u17480) = 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(_u17482, _u17478, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17480), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u17482, _u17480))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_small_H_Opsimps ( axiom ) converted to clauses:
% 27.68/27.91 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)), _u17483), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17484), _u17485)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17484), _u17485)) | ( c_Smallcheck_Osmall_H(_u17483, _u17484, _u17485) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 27.68/27.91 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)), _u17483), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17484), _u17485)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17484), _u17485)) | ( c_Smallcheck_Osmall_H(_u17483, _u17484, _u17485) = 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(_u17483, _u17484, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17485), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u17483, _u17485))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_small__int__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_small__int__def-1, axiom, ( ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint), _u17486), _u17487) = c_Smallcheck_Osmall_H(_u17486, hAPP(c_Code__Numeral_Oint__of, _u17487), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u17487)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_small__prod__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_small__prod__def-1, axiom, ( ~class_Smallcheck_Osmall(_u17488) | ~class_Smallcheck_Osmall(_u17489) | ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(_u17489, _u17488)), _u17490), _u17491) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(_u17489), hAPP(hAPP(c_COMBC(_u17489, tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(hAPP(c_COMBB(tc_fun(_u17488, 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))), _u17489), c_Smallcheck_Osmall__class_Osmall(_u17488)), hAPP(hAPP(c_COMBB(tc_fun(_u17488, tc_prod(_u17489, _u17488)), tc_fun(_u17488, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u17489), hAPP(c_COMBB(tc_prod(_u17489, _u17488), tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), _u17488), _u17490)), c_Product__Type_OPair(_u17489, _u17488)))), _u17491)), _u17491)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_small_H_Opinduct ( axiom ) converted to clauses:
% 27.68/27.91 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)), _u17495), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17496), _u17497)))) | hBOOL(hAPP(hAPP(hAPP(_u17498, _u17495), _u17496), _u17497)) | 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)), skolem443(_u17498, _u17497, _u17496, _u17495)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem444(_u17498, _u17497, _u17496, _u17495)), skolem445(_u17498, _u17497, _u17496, _u17495))))) )).
% 27.68/27.91 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)), _u17495), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17496), _u17497)))) | hBOOL(hAPP(hAPP(hAPP(_u17498, _u17495), _u17496), _u17497)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem444(_u17498, _u17497, _u17496, _u17495)), skolem445(_u17498, _u17497, _u17496, _u17495))) | ( hAPP(skolem443(_u17498, _u17497, _u17496, _u17495), skolem445(_u17498, _u17497, _u17496, _u17495)) != c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) | hBOOL(hAPP(hAPP(hAPP(_u17498, skolem443(_u17498, _u17497, _u17496, _u17495)), skolem444(_u17498, _u17497, _u17496, _u17495)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem445(_u17498, _u17497, _u17496, _u17495)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 27.68/27.91 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)), _u17495), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17496), _u17497)))) | hBOOL(hAPP(hAPP(hAPP(_u17498, _u17495), _u17496), _u17497)) | ~hBOOL(hAPP(hAPP(hAPP(_u17498, skolem443(_u17498, _u17497, _u17496, _u17495)), skolem444(_u17498, _u17497, _u17496, _u17495)), skolem445(_u17498, _u17497, _u17496, _u17495))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_body__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_body__def-1, axiom, ( ( c_Com_Obody = c_Map_Omap__of(tc_Com_Opname, tc_Com_Ocom, c_Com_Obodies)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__mapk__SomeI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__mapk__SomeI-1, axiom, ( ~c_Fun_Oinj__on(_u17499, _u17500, _u17501, c_Orderings_Otop__class_Otop(tc_fun(_u17499, tc_HOL_Obool))) | ( hAPP(c_Map_Omap__of(_u17499, _u17502, _u17503), _u17504) != hAPP(c_Option_Ooption_OSome(_u17502), _u17505)) | ( hAPP(c_Map_Omap__of(_u17500, _u17502, hAPP(hAPP(c_List_Omap(tc_prod(_u17499, _u17502), tc_prod(_u17500, _u17502)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17499, _u17502, tc_prod(_u17500, _u17502)), hAPP(hAPP(c_COMBB(_u17500, tc_fun(_u17502, tc_prod(_u17500, _u17502)), _u17499), c_Product__Type_OPair(_u17500, _u17502)), _u17501))), _u17503)), hAPP(_u17501, _u17504)) = hAPP(c_Option_Ooption_OSome(_u17502), _u17505)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__comp__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__comp__def-1, axiom, ( ( c_Map_Omap__comp(_u17506, _u17507, _u17508, _u17509, _u17510, _u17511) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17507), _u17506, c_Option_Ooption_ONone(_u17507), _u17509), hAPP(_u17510, _u17511))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_inj__mapI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_inj__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u17512, _u17513, _u17514, c_Orderings_Otop__class_Otop(tc_fun(_u17512, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17512), tc_List_Olist(_u17513), hAPP(c_List_Omap(_u17512, _u17513), _u17514), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17512), tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__comp__simps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__comp__simps_I2_J-1, axiom, ( ( hAPP(_u17515, _u17516) != hAPP(c_Option_Ooption_OSome(_u17517), _u17518)) | ( c_Map_Omap__comp(_u17517, _u17519, _u17520, _u17521, _u17515, _u17516) = hAPP(_u17521, _u17518)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__comp__Some__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__comp__Some__iff-1, axiom, ( ( c_Map_Omap__comp(_u17531, _u17533, _u17535, _u17537, _u17539, _u17541) != hAPP(c_Option_Ooption_OSome(_u17533), _u17543)) | ( hAPP(_u17539, _u17541) = hAPP(c_Option_Ooption_OSome(_u17531), skolem446(_u17543, _u17541, _u17539, _u17537, _u17535, _u17533, _u17531))) )).
% 27.68/27.91 cnf(fact_map__comp__Some__iff-2, axiom, ( ( c_Map_Omap__comp(_u17531, _u17533, _u17535, _u17537, _u17539, _u17541) != hAPP(c_Option_Ooption_OSome(_u17533), _u17543)) | ( hAPP(_u17537, skolem446(_u17543, _u17541, _u17539, _u17537, _u17535, _u17533, _u17531)) = hAPP(c_Option_Ooption_OSome(_u17533), _u17543)) )).
% 27.68/27.91 cnf(fact_map__comp__Some__iff-3, axiom, ( ( hAPP(_u17540, _u17542) != hAPP(c_Option_Ooption_OSome(_u17532), _u17523)) | ( hAPP(_u17538, _u17523) != hAPP(c_Option_Ooption_OSome(_u17534), _u17544)) | ( c_Map_Omap__comp(_u17532, _u17534, _u17536, _u17538, _u17540, _u17542) = hAPP(c_Option_Ooption_OSome(_u17534), _u17544)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__comp__simps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__comp__simps_I1_J-1, axiom, ( ( hAPP(_u17545, _u17546) != c_Option_Ooption_ONone(_u17547)) | ( c_Map_Omap__comp(_u17547, _u17548, _u17549, _u17550, _u17545, _u17546) = c_Option_Ooption_ONone(_u17548)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_List_Omap_Oidentity ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_List_Omap_Oidentity-1, axiom, ( ( hAPP(c_List_Omap(_u17551, _u17551), c_COMBI(_u17551)) = c_Fun_Oid(tc_List_Olist(_u17551))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_List_Omap_Oid ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_List_Omap_Oid-1, axiom, ( ( hAPP(c_List_Omap(_u17552, _u17552), c_Fun_Oid(_u17552)) = c_Fun_Oid(tc_List_Olist(_u17552))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__ident ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__ident-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17553, _u17553), c_COMBI(_u17553)), _u17554) = _u17554) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__injective ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__injective-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17555, _u17556), _u17557), _u17558) != hAPP(hAPP(c_List_Omap(_u17555, _u17556), _u17557), _u17559)) | ~c_Fun_Oinj__on(_u17555, _u17556, _u17557, c_Orderings_Otop__class_Otop(tc_fun(_u17555, tc_HOL_Obool))) | ( _u17558 = _u17559) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_inj__mapD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_inj__mapD-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17560), tc_List_Olist(_u17561), hAPP(c_List_Omap(_u17560, _u17561), _u17562), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17560), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17560, _u17561, _u17562, c_Orderings_Otop__class_Otop(tc_fun(_u17560, tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_inj__map__eq__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_inj__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17563, _u17564, _u17565, c_Orderings_Otop__class_Otop(tc_fun(_u17563, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17563, _u17564), _u17565), _u17566) != hAPP(hAPP(c_List_Omap(_u17563, _u17564), _u17565), _u17567)) | ( _u17566 = _u17567) )).
% 27.68/27.91 cnf(fact_inj__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17563, _u17564, _u17565, c_Orderings_Otop__class_Otop(tc_fun(_u17563, tc_HOL_Obool))) | ( _u17566 != _u17567) | ( hAPP(hAPP(c_List_Omap(_u17563, _u17564), _u17565), _u17566) = hAPP(hAPP(c_List_Omap(_u17563, _u17564), _u17565), _u17567)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_inj__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_inj__map-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17571), tc_List_Olist(_u17573), hAPP(c_List_Omap(_u17571, _u17573), _u17575), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17571), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17571, _u17573, _u17575, c_Orderings_Otop__class_Otop(tc_fun(_u17571, tc_HOL_Obool))) )).
% 27.68/27.91 cnf(fact_inj__map-2, axiom, ( ~c_Fun_Oinj__on(_u17572, _u17574, _u17576, c_Orderings_Otop__class_Otop(tc_fun(_u17572, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17572), tc_List_Olist(_u17574), hAPP(c_List_Omap(_u17572, _u17574), _u17576), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17572), tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_List_Omap_Ocomp ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_List_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17577), tc_List_Olist(_u17578), tc_List_Olist(_u17579), hAPP(c_List_Omap(_u17577, _u17578), _u17580)), hAPP(c_List_Omap(_u17579, _u17577), _u17581)) = hAPP(c_List_Omap(_u17579, _u17578), hAPP(c_Fun_Ocomp(_u17577, _u17578, _u17579, _u17580), _u17581))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__comp__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__comp__map-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17582), tc_List_Olist(_u17583), tc_List_Olist(_u17584), hAPP(c_List_Omap(_u17582, _u17583), _u17585)), hAPP(c_List_Omap(_u17584, _u17582), _u17586)) = hAPP(c_List_Omap(_u17584, _u17583), hAPP(c_Fun_Ocomp(_u17582, _u17583, _u17584, _u17585), _u17586))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_List_Omap_Ocompositionality ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_List_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17587, _u17588), _u17589), hAPP(hAPP(c_List_Omap(_u17590, _u17587), _u17591), _u17592)) = hAPP(hAPP(c_List_Omap(_u17590, _u17588), hAPP(c_Fun_Ocomp(_u17587, _u17588, _u17590, _u17589), _u17591)), _u17592)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17593, _u17594), _u17595), hAPP(hAPP(c_List_Omap(_u17596, _u17593), _u17597), _u17598)) = hAPP(hAPP(c_List_Omap(_u17596, _u17594), hAPP(c_Fun_Ocomp(_u17593, _u17594, _u17596, _u17595), _u17597)), _u17598)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_foldr__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_foldr__map-1, axiom, ( ( c_List_Ofoldr(_u17599, _u17600, _u17601, hAPP(hAPP(c_List_Omap(_u17602, _u17599), _u17603), _u17604), _u17605) = c_List_Ofoldr(_u17602, _u17600, hAPP(c_Fun_Ocomp(_u17599, tc_fun(_u17600, _u17600), _u17602, _u17601), _u17603), _u17604, _u17605)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__comp__empty_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__comp__empty_I2_J-1, axiom, ( ( c_Map_Omap__comp(_u17606, _u17607, _u17608, hAPP(c_COMBK(tc_Option_Ooption(_u17607), _u17606), c_Option_Ooption_ONone(_u17607)), _u17609, _u17610) = c_Option_Ooption_ONone(_u17607)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__comp__empty_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__comp__empty_I1_J-1, axiom, ( ( c_Map_Omap__comp(_u17611, _u17612, _u17613, _u17614, hAPP(c_COMBK(tc_Option_Ooption(_u17611), _u17613), c_Option_Ooption_ONone(_u17611)), _u17615) = c_Option_Ooption_ONone(_u17612)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__comp__None__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__comp__None__iff-1, axiom, ( ( c_Map_Omap__comp(_u17624, _u17626, _u17628, _u17630, _u17632, _u17634) != c_Option_Ooption_ONone(_u17626)) | ( hAPP(_u17632, _u17634) = c_Option_Ooption_ONone(_u17624)) | ( hAPP(_u17632, _u17634) = hAPP(c_Option_Ooption_OSome(_u17624), skolem447(_u17634, _u17632, _u17630, _u17628, _u17626, _u17624))) )).
% 27.68/27.91 cnf(fact_map__comp__None__iff-2, axiom, ( ( c_Map_Omap__comp(_u17624, _u17626, _u17628, _u17630, _u17632, _u17634) != c_Option_Ooption_ONone(_u17626)) | ( hAPP(_u17632, _u17634) = c_Option_Ooption_ONone(_u17624)) | ( hAPP(_u17630, skolem447(_u17634, _u17632, _u17630, _u17628, _u17626, _u17624)) = c_Option_Ooption_ONone(_u17626)) )).
% 27.68/27.91 cnf(fact_map__comp__None__iff-3, axiom, ( ( c_Map_Omap__comp(_u17625, _u17627, _u17629, _u17631, _u17633, _u17635) = c_Option_Ooption_ONone(_u17627)) | ( hAPP(_u17633, _u17635) != c_Option_Ooption_ONone(_u17625)) )).
% 27.68/27.91 cnf(fact_map__comp__None__iff-4, axiom, ( ( c_Map_Omap__comp(_u17625, _u17627, _u17629, _u17631, _u17633, _u17635) = c_Option_Ooption_ONone(_u17627)) | ( hAPP(_u17633, _u17635) != hAPP(c_Option_Ooption_OSome(_u17625), _u17617)) | ( hAPP(_u17631, _u17617) != c_Option_Ooption_ONone(_u17627)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__map-1, axiom, ( ( c_Map_Omap__of(_u17636, _u17637, hAPP(hAPP(c_List_Omap(tc_prod(_u17636, _u17638), tc_prod(_u17636, _u17637)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17636, _u17638, tc_prod(_u17636, _u17637)), hAPP(hAPP(c_COMBC(_u17636, tc_fun(_u17638, _u17637), tc_fun(_u17638, tc_prod(_u17636, _u17637))), hAPP(hAPP(c_COMBB(tc_fun(_u17637, tc_prod(_u17636, _u17637)), tc_fun(tc_fun(_u17638, _u17637), tc_fun(_u17638, tc_prod(_u17636, _u17637))), _u17636), c_COMBB(_u17637, tc_prod(_u17636, _u17637), _u17638)), c_Product__Type_OPair(_u17636, _u17637))), _u17639))), _u17640)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17638), tc_Option_Ooption(_u17637), _u17636, hAPP(c_Option_Omap(_u17638, _u17637), _u17639)), c_Map_Omap__of(_u17636, _u17638, _u17640))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__map__keys ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__map__keys-1, axiom, ( ( hAPP(c_List_Oset(_u17641), _u17642) != c_Map_Odom(_u17641, _u17643, _u17644)) | ( c_Map_Omap__of(_u17641, _u17643, hAPP(hAPP(c_List_Omap(_u17641, tc_prod(_u17641, _u17643)), hAPP(hAPP(c_COMBS(_u17641, _u17643, tc_prod(_u17641, _u17643)), c_Product__Type_OPair(_u17641, _u17643)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u17643), _u17643, _u17641), c_Option_Othe(_u17643)), _u17644))), _u17642)) = _u17644) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_finite__set ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_finite__set-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17645), hAPP(c_List_Oset(_u17645), _u17646))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__map-1, axiom, ( ( hAPP(c_List_Oset(_u17647), hAPP(hAPP(c_List_Omap(_u17648, _u17647), _u17649), _u17650)) = hAPP(c_Set_Oimage(_u17648, _u17647, _u17649), hAPP(c_List_Oset(_u17648), _u17650))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__eq__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17658, _u17660), _u17662), _u17664) != hAPP(hAPP(c_List_Omap(_u17658, _u17660), _u17666), _u17664)) | ~hBOOL(hAPP(hAPP(c_member(_u17658), _u17651), hAPP(c_List_Oset(_u17658), _u17664))) | ( hAPP(_u17662, _u17651) = hAPP(_u17666, _u17651)) )).
% 27.68/27.91 cnf(fact_map__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17663), _u17665) = hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17667), _u17665)) | hBOOL(hAPP(hAPP(c_member(_u17659), skolem448(_u17667, _u17665, _u17663, _u17661, _u17659)), hAPP(c_List_Oset(_u17659), _u17665))) )).
% 27.68/27.91 cnf(fact_map__eq__conv-3, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17663), _u17665) = hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17667), _u17665)) | ( hAPP(_u17663, skolem448(_u17667, _u17665, _u17663, _u17661, _u17659)) != hAPP(_u17667, skolem448(_u17667, _u17665, _u17663, _u17661, _u17659))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_option__map__comp ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_option__map__comp-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17668, _u17669), _u17670), hAPP(hAPP(c_Option_Omap(_u17671, _u17668), _u17672), _u17673)) = hAPP(hAPP(c_Option_Omap(_u17671, _u17669), hAPP(c_Fun_Ocomp(_u17668, _u17669, _u17671, _u17670), _u17672)), _u17673)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Option_Omap_Ocompositionality ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Option_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17674, _u17675), _u17676), hAPP(hAPP(c_Option_Omap(_u17677, _u17674), _u17678), _u17679)) = hAPP(hAPP(c_Option_Omap(_u17677, _u17675), hAPP(c_Fun_Ocomp(_u17674, _u17675, _u17677, _u17676), _u17678)), _u17679)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Option_Omap_Ocomp ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Option_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17680), tc_Option_Ooption(_u17681), tc_Option_Ooption(_u17682), hAPP(c_Option_Omap(_u17680, _u17681), _u17683)), hAPP(c_Option_Omap(_u17682, _u17680), _u17684)) = hAPP(c_Option_Omap(_u17682, _u17681), hAPP(c_Fun_Ocomp(_u17680, _u17681, _u17682, _u17683), _u17684))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_option__map__o__sum__case ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_option__map__o__sum__case-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17685), tc_Option_Ooption(_u17686), tc_sum(_u17687, _u17688), hAPP(c_Option_Omap(_u17685, _u17686), _u17689)), c_Sum__Type_Osum_Osum__case(_u17687, tc_Option_Ooption(_u17685), _u17688, _u17690, _u17691)) = c_Sum__Type_Osum_Osum__case(_u17687, tc_Option_Ooption(_u17686), _u17688, hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17685), tc_Option_Ooption(_u17686), _u17687, hAPP(c_Option_Omap(_u17685, _u17686), _u17689)), _u17690), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17685), tc_Option_Ooption(_u17686), _u17688, hAPP(c_Option_Omap(_u17685, _u17686), _u17689)), _u17691))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_dom__option__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_dom__option__map-1, axiom, ( ( c_Map_Odom(_u17692, _u17693, hAPP(hAPP(c_COMBS(_u17692, tc_Option_Ooption(_u17694), tc_Option_Ooption(_u17693)), hAPP(hAPP(c_COMBB(tc_fun(_u17694, _u17693), tc_fun(tc_Option_Ooption(_u17694), tc_Option_Ooption(_u17693)), _u17692), c_Option_Omap(_u17694, _u17693)), _u17695)), _u17696)) = c_Map_Odom(_u17692, _u17694, _u17696)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_infinite__UNIV__listI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_infinite__UNIV__listI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u17697)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17697), tc_HOL_Obool)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Option_Omap_Oidentity ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Option_Omap_Oidentity-1, axiom, ( ( hAPP(c_Option_Omap(_u17698, _u17698), c_COMBI(_u17698)) = c_Fun_Oid(tc_Option_Ooption(_u17698))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Option_Omap_Oid ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Option_Omap_Oid-1, axiom, ( ( hAPP(c_Option_Omap(_u17699, _u17699), c_Fun_Oid(_u17699)) = c_Fun_Oid(tc_Option_Ooption(_u17699))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_option__map__eq__Some ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_option__map__eq__Some-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17707, _u17709), _u17711), _u17713) != hAPP(c_Option_Ooption_OSome(_u17709), _u17715)) | ( _u17713 = hAPP(c_Option_Ooption_OSome(_u17707), skolem449(_u17715, _u17713, _u17711, _u17709, _u17707))) )).
% 27.68/27.91 cnf(fact_option__map__eq__Some-2, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17707, _u17709), _u17711), _u17713) != hAPP(c_Option_Ooption_OSome(_u17709), _u17715)) | ( hAPP(_u17711, skolem449(_u17715, _u17713, _u17711, _u17709, _u17707)) = _u17715) )).
% 27.68/27.91 cnf(fact_option__map__eq__Some-3, axiom, ( ( _u17714 != hAPP(c_Option_Ooption_OSome(_u17708), _u17701)) | ( hAPP(_u17712, _u17701) != _u17716) | ( hAPP(hAPP(c_Option_Omap(_u17708, _u17710), _u17712), _u17714) = hAPP(c_Option_Ooption_OSome(_u17710), _u17716)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_option__map__Some ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_option__map__Some-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17717, _u17718), _u17719), hAPP(c_Option_Ooption_OSome(_u17717), _u17720)) = hAPP(c_Option_Ooption_OSome(_u17718), hAPP(_u17719, _u17720))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_option__map__is__None ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_option__map__is__None-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17725, _u17727), _u17729), _u17731) != c_Option_Ooption_ONone(_u17727)) | ( _u17731 = c_Option_Ooption_ONone(_u17725)) )).
% 27.68/27.91 cnf(fact_option__map__is__None-2, axiom, ( ( _u17732 != c_Option_Ooption_ONone(_u17726)) | ( hAPP(hAPP(c_Option_Omap(_u17726, _u17728), _u17730), _u17732) = c_Option_Ooption_ONone(_u17728)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_option__map__None ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_option__map__None-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17733, _u17734), _u17735), c_Option_Ooption_ONone(_u17733)) = c_Option_Ooption_ONone(_u17734)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_option__map__o__empty ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_option__map__o__empty-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17736), tc_Option_Ooption(_u17737), _u17738, hAPP(c_Option_Omap(_u17736, _u17737), _u17739)), hAPP(c_COMBK(tc_Option_Ooption(_u17736), _u17738), c_Option_Ooption_ONone(_u17736))), _u17740) = c_Option_Ooption_ONone(_u17737)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_option__map__o__map__upd ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_option__map__o__map__upd-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17741), tc_Option_Ooption(_u17742), _u17743, hAPP(c_Option_Omap(_u17741, _u17742), _u17744)), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17743, tc_Option_Ooption(_u17741)), _u17745), _u17746), hAPP(c_Option_Ooption_OSome(_u17741), _u17747))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17743, tc_Option_Ooption(_u17742)), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17741), tc_Option_Ooption(_u17742), _u17743, hAPP(c_Option_Omap(_u17741, _u17742), _u17744)), _u17745)), _u17746), hAPP(c_Option_Ooption_OSome(_u17742), hAPP(_u17744, _u17747)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_inj__on__map__eq__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_inj__on__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17748, _u17749, _u17750, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17748, tc_HOL_Obool)), hAPP(c_List_Oset(_u17748), _u17751)), hAPP(c_List_Oset(_u17748), _u17752))) | ( hAPP(hAPP(c_List_Omap(_u17748, _u17749), _u17750), _u17751) != hAPP(hAPP(c_List_Omap(_u17748, _u17749), _u17750), _u17752)) | ( _u17751 = _u17752) )).
% 27.68/27.91 cnf(fact_inj__on__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17748, _u17749, _u17750, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17748, tc_HOL_Obool)), hAPP(c_List_Oset(_u17748), _u17751)), hAPP(c_List_Oset(_u17748), _u17752))) | ( _u17751 != _u17752) | ( hAPP(hAPP(c_List_Omap(_u17748, _u17749), _u17750), _u17751) = hAPP(hAPP(c_List_Omap(_u17748, _u17749), _u17750), _u17752)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__inj__on ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__inj__on-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17753, _u17754), _u17755), _u17756) != hAPP(hAPP(c_List_Omap(_u17753, _u17754), _u17755), _u17757)) | ~c_Fun_Oinj__on(_u17753, _u17754, _u17755, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17753, tc_HOL_Obool)), hAPP(c_List_Oset(_u17753), _u17756)), hAPP(c_List_Oset(_u17753), _u17757))) | ( _u17756 = _u17757) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__fun__upd ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__fun__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17758), _u17759), hAPP(c_List_Oset(_u17758), _u17760))) | ( hAPP(hAPP(c_List_Omap(_u17758, _u17761), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17758, _u17761), _u17762), _u17759), _u17763)), _u17760) = hAPP(hAPP(c_List_Omap(_u17758, _u17761), _u17762), _u17760)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_inj__on__mapI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_inj__on__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u17764, _u17765, _u17766, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17764, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17764), tc_fun(_u17764, tc_HOL_Obool), c_List_Oset(_u17764)), _u17767))) | c_Fun_Oinj__on(tc_List_Olist(_u17764), tc_List_Olist(_u17765), hAPP(c_List_Omap(_u17764, _u17765), _u17766), _u17767) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__eq__dom ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__eq__dom-1, axiom, ( ( c_Map_Omap__of(_u17768, _u17769, _u17770) != c_Map_Omap__of(_u17768, _u17769, _u17771)) | ( hAPP(c_Set_Oimage(tc_prod(_u17768, _u17769), _u17768, c_Product__Type_Ofst(_u17768, _u17769)), hAPP(c_List_Oset(tc_prod(_u17768, _u17769)), _u17770)) = hAPP(c_Set_Oimage(tc_prod(_u17768, _u17769), _u17768, c_Product__Type_Ofst(_u17768, _u17769)), hAPP(c_List_Oset(tc_prod(_u17768, _u17769)), _u17771))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__SomeD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__SomeD-1, axiom, ( ( hAPP(c_Map_Omap__of(_u17772, _u17773, _u17774), _u17775) != hAPP(c_Option_Ooption_OSome(_u17773), _u17776)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17772, _u17773)), hAPP(hAPP(c_Product__Type_OPair(_u17772, _u17773), _u17775), _u17776)), hAPP(c_List_Oset(tc_prod(_u17772, _u17773)), _u17774))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__is__SomeD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__is__SomeD-1, axiom, ( ( hAPP(c_Map_Omap__of(_u17777, _u17778, _u17779), _u17780) != hAPP(c_Option_Ooption_OSome(_u17778), _u17781)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17777, _u17778)), hAPP(hAPP(c_Product__Type_OPair(_u17777, _u17778), _u17780), _u17781)), hAPP(c_List_Oset(tc_prod(_u17777, _u17778)), _u17779))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_dom__map__of__conv__image__fst ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_dom__map__of__conv__image__fst-1, axiom, ( ( c_Map_Odom(_u17782, _u17783, c_Map_Omap__of(_u17782, _u17783, _u17784)) = hAPP(c_Set_Oimage(tc_prod(_u17782, _u17783), _u17782, c_Product__Type_Ofst(_u17782, _u17783)), hAPP(c_List_Oset(tc_prod(_u17782, _u17783)), _u17784))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__eq__None__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__eq__None__iff-1, axiom, ( ( hAPP(c_Map_Omap__of(_u17789, _u17791, _u17793), _u17795) != c_Option_Ooption_ONone(_u17791)) | ~hBOOL(hAPP(hAPP(c_member(_u17789), _u17795), hAPP(c_Set_Oimage(tc_prod(_u17789, _u17791), _u17789, c_Product__Type_Ofst(_u17789, _u17791)), hAPP(c_List_Oset(tc_prod(_u17789, _u17791)), _u17793)))) )).
% 27.68/27.91 cnf(fact_map__of__eq__None__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17790), _u17796), hAPP(c_Set_Oimage(tc_prod(_u17790, _u17792), _u17790, c_Product__Type_Ofst(_u17790, _u17792)), hAPP(c_List_Oset(tc_prod(_u17790, _u17792)), _u17794)))) | ( hAPP(c_Map_Omap__of(_u17790, _u17792, _u17794), _u17796) = c_Option_Ooption_ONone(_u17792)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Option_Omap__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Option_Omap__def-1, axiom, ( ( hAPP(c_Option_Omap(_u17797, _u17798), _u17799) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17798), _u17797, c_Option_Ooption_ONone(_u17798), hAPP(hAPP(c_COMBB(_u17798, tc_Option_Ooption(_u17798), _u17797), c_Option_Ooption_OSome(_u17798)), _u17799))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_WT__bodies__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_WT__bodies__def-1, axiom, ( ~c_Com_OWT__bodies | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname, tc_Com_Ocom)), _u17800), 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)), _u17800)) )).
% 27.68/27.91 cnf(fact_WT__bodies__def-2, axiom, ( c_Com_OWT__bodies | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname, tc_Com_Ocom)), skolem450), hAPP(c_List_Oset(tc_prod(tc_Com_Opname, tc_Com_Ocom)), c_Com_Obodies))) )).
% 27.68/27.91 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)), skolem450)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__map__restrict ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__map__restrict-1, axiom, ( ( c_Map_Omap__of(_u17802, _u17803, hAPP(hAPP(c_List_Omap(_u17802, tc_prod(_u17802, _u17803)), hAPP(hAPP(c_COMBS(_u17802, _u17803, tc_prod(_u17802, _u17803)), c_Product__Type_OPair(_u17802, _u17803)), _u17804)), _u17805)) = c_Map_Orestrict__map(_u17802, _u17803, hAPP(c_Fun_Ocomp(_u17803, tc_Option_Ooption(_u17803), _u17802, c_Option_Ooption_OSome(_u17803)), _u17804), hAPP(c_List_Oset(_u17802), _u17805))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_ran__distinct ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_ran__distinct-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17806), hAPP(hAPP(c_List_Omap(tc_prod(_u17806, _u17807), _u17806), c_Product__Type_Ofst(_u17806, _u17807)), _u17808))) | ( c_Map_Oran(_u17806, _u17807, c_Map_Omap__of(_u17806, _u17807, _u17808)) = hAPP(c_Set_Oimage(tc_prod(_u17806, _u17807), _u17807, c_Product__Type_Osnd(_u17806, _u17807)), hAPP(c_List_Oset(tc_prod(_u17806, _u17807)), _u17808))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__map__of__compr ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__map__of__compr-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17809), hAPP(hAPP(c_List_Omap(tc_prod(_u17809, _u17810), _u17809), c_Product__Type_Ofst(_u17809, _u17810)), _u17811))) | ( hAPP(c_List_Oset(tc_prod(_u17809, _u17810)), _u17811) = hAPP(c_Set_OCollect(tc_prod(_u17809, _u17810)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17809, _u17810, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u17809, tc_fun(_u17810, tc_Option_Ooption(_u17810)), tc_fun(_u17810, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17810), tc_HOL_Obool), tc_fun(tc_fun(_u17810, tc_Option_Ooption(_u17810)), tc_fun(_u17810, tc_HOL_Obool)), _u17809), c_COMBB(tc_Option_Ooption(_u17810), tc_HOL_Obool, _u17810)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u17810), tc_fun(tc_Option_Ooption(_u17810), tc_HOL_Obool), _u17809), c_fequal), c_Map_Omap__of(_u17809, _u17810, _u17811)))), c_Option_Ooption_OSome(_u17810))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__map-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17816), hAPP(hAPP(c_List_Omap(_u17818, _u17816), _u17820), _u17822))) | hBOOL(hAPP(c_List_Odistinct(_u17818), _u17822)) )).
% 27.68/27.91 cnf(fact_distinct__map-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17816), hAPP(hAPP(c_List_Omap(_u17818, _u17816), _u17820), _u17822))) | c_Fun_Oinj__on(_u17818, _u17816, _u17820, hAPP(c_List_Oset(_u17818), _u17822)) )).
% 27.68/27.91 cnf(fact_distinct__map-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17819), _u17823)) | ~c_Fun_Oinj__on(_u17819, _u17817, _u17821, hAPP(c_List_Oset(_u17819), _u17823)) | hBOOL(hAPP(c_List_Odistinct(_u17817), hAPP(hAPP(c_List_Omap(_u17819, _u17817), _u17821), _u17823))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__inject__set ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__inject__set-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17824), hAPP(hAPP(c_List_Omap(tc_prod(_u17824, _u17825), _u17824), c_Product__Type_Ofst(_u17824, _u17825)), _u17826))) | ~hBOOL(hAPP(c_List_Odistinct(_u17824), hAPP(hAPP(c_List_Omap(tc_prod(_u17824, _u17825), _u17824), c_Product__Type_Ofst(_u17824, _u17825)), _u17827))) | ( c_Map_Omap__of(_u17824, _u17825, _u17826) != c_Map_Omap__of(_u17824, _u17825, _u17827)) | ( hAPP(c_List_Oset(tc_prod(_u17824, _u17825)), _u17826) = hAPP(c_List_Oset(tc_prod(_u17824, _u17825)), _u17827)) )).
% 27.68/27.91 cnf(fact_map__of__inject__set-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17824), hAPP(hAPP(c_List_Omap(tc_prod(_u17824, _u17825), _u17824), c_Product__Type_Ofst(_u17824, _u17825)), _u17826))) | ~hBOOL(hAPP(c_List_Odistinct(_u17824), hAPP(hAPP(c_List_Omap(tc_prod(_u17824, _u17825), _u17824), c_Product__Type_Ofst(_u17824, _u17825)), _u17827))) | ( hAPP(c_List_Oset(tc_prod(_u17824, _u17825)), _u17826) != hAPP(c_List_Oset(tc_prod(_u17824, _u17825)), _u17827)) | ( c_Map_Omap__of(_u17824, _u17825, _u17826) = c_Map_Omap__of(_u17824, _u17825, _u17827)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__is__SomeI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__is__SomeI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17828), hAPP(hAPP(c_List_Omap(tc_prod(_u17828, _u17829), _u17828), c_Product__Type_Ofst(_u17828, _u17829)), _u17830))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17828, _u17829)), hAPP(hAPP(c_Product__Type_OPair(_u17828, _u17829), _u17831), _u17832)), hAPP(c_List_Oset(tc_prod(_u17828, _u17829)), _u17830))) | ( hAPP(c_Map_Omap__of(_u17828, _u17829, _u17830), _u17831) = hAPP(c_Option_Ooption_OSome(_u17829), _u17832)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__eq__Some__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__eq__Some__iff-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17833), hAPP(hAPP(c_List_Omap(tc_prod(_u17833, _u17834), _u17833), c_Product__Type_Ofst(_u17833, _u17834)), _u17835))) | ( hAPP(c_Map_Omap__of(_u17833, _u17834, _u17835), _u17836) != hAPP(c_Option_Ooption_OSome(_u17834), _u17837)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17833, _u17834)), hAPP(hAPP(c_Product__Type_OPair(_u17833, _u17834), _u17836), _u17837)), hAPP(c_List_Oset(tc_prod(_u17833, _u17834)), _u17835))) )).
% 27.68/27.91 cnf(fact_map__of__eq__Some__iff-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17833), hAPP(hAPP(c_List_Omap(tc_prod(_u17833, _u17834), _u17833), c_Product__Type_Ofst(_u17833, _u17834)), _u17835))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17833, _u17834)), hAPP(hAPP(c_Product__Type_OPair(_u17833, _u17834), _u17836), _u17837)), hAPP(c_List_Oset(tc_prod(_u17833, _u17834)), _u17835))) | ( hAPP(c_Map_Omap__of(_u17833, _u17834, _u17835), _u17836) = hAPP(c_Option_Ooption_OSome(_u17834), _u17837)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Some__eq__map__of__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Some__eq__map__of__iff-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17838), hAPP(hAPP(c_List_Omap(tc_prod(_u17838, _u17839), _u17838), c_Product__Type_Ofst(_u17838, _u17839)), _u17840))) | ( hAPP(c_Option_Ooption_OSome(_u17839), _u17841) != hAPP(c_Map_Omap__of(_u17838, _u17839, _u17840), _u17842)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17838, _u17839)), hAPP(hAPP(c_Product__Type_OPair(_u17838, _u17839), _u17842), _u17841)), hAPP(c_List_Oset(tc_prod(_u17838, _u17839)), _u17840))) )).
% 27.68/27.91 cnf(fact_Some__eq__map__of__iff-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17838), hAPP(hAPP(c_List_Omap(tc_prod(_u17838, _u17839), _u17838), c_Product__Type_Ofst(_u17838, _u17839)), _u17840))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17838, _u17839)), hAPP(hAPP(c_Product__Type_OPair(_u17838, _u17839), _u17842), _u17841)), hAPP(c_List_Oset(tc_prod(_u17838, _u17839)), _u17840))) | ( hAPP(c_Option_Ooption_OSome(_u17839), _u17841) = hAPP(c_Map_Omap__of(_u17838, _u17839, _u17840), _u17842)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_greaterThanLessThan__upto ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_greaterThanLessThan__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u17843, _u17844) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17843), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u17844), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_weak__map__of__SomeI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_weak__map__of__SomeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17846, _u17847)), hAPP(hAPP(c_Product__Type_OPair(_u17846, _u17847), _u17848), _u17849)), hAPP(c_List_Oset(tc_prod(_u17846, _u17847)), _u17850))) | ( hAPP(c_Map_Omap__of(_u17846, _u17847, _u17850), _u17848) = hAPP(c_Option_Ooption_OSome(_u17847), skolem451(_u17850, _u17849, _u17848, _u17847, _u17846))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__upto ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__upto-1, axiom, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17851, _u17852)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u17851, _u17852)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_atLeastAtMost__upto ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_atLeastAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u17853, _u17854) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17853, _u17854))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__upto ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__upto-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u17855, _u17856))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_atLeastLessThan__upto ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_atLeastLessThan__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u17857), _u17858) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17857, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u17858), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_greaterThanAtMost__upto ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_greaterThanAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u17859, _u17860) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17859), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u17860))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nat__list__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nat__list__def-1, axiom, ( ~c_List_Onat__list(_u17862) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u17862)) )).
% 27.68/27.91 cnf(fact_nat__list__def-2, axiom, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u17863)) | c_List_Onat__list(_u17863) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__remove1__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__remove1__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17864), _u17865)) | ( hAPP(c_List_Oset(_u17864), c_List_Oremove1(_u17864, _u17866, _u17865)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17864, tc_HOL_Obool)), hAPP(c_List_Oset(_u17864), _u17865)), hAPP(hAPP(c_Set_Oinsert(_u17864), _u17866), c_Orderings_Obot__class_Obot(tc_fun(_u17864, tc_HOL_Obool))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__remove1__subset ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__remove1__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17867, tc_HOL_Obool)), hAPP(c_List_Oset(_u17867), c_List_Oremove1(_u17867, _u17868, _u17869))), hAPP(c_List_Oset(_u17867), _u17869))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_remove1__idem ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_remove1__idem-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17870), _u17871), hAPP(c_List_Oset(_u17870), _u17872))) | ( c_List_Oremove1(_u17870, _u17871, _u17872) = _u17872) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_notin__set__remove1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_notin__set__remove1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17873), _u17874), hAPP(c_List_Oset(_u17873), _u17875))) | ~hBOOL(hAPP(hAPP(c_member(_u17873), _u17874), hAPP(c_List_Oset(_u17873), c_List_Oremove1(_u17873, _u17876, _u17875)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_in__set__remove1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_in__set__remove1-1, axiom, ( ( _u17877 = _u17878) | ~hBOOL(hAPP(hAPP(c_member(_u17879), _u17877), hAPP(c_List_Oset(_u17879), c_List_Oremove1(_u17879, _u17878, _u17880)))) | hBOOL(hAPP(hAPP(c_member(_u17879), _u17877), hAPP(c_List_Oset(_u17879), _u17880))) )).
% 27.68/27.91 cnf(fact_in__set__remove1-2, axiom, ( ( _u17877 = _u17878) | ~hBOOL(hAPP(hAPP(c_member(_u17879), _u17877), hAPP(c_List_Oset(_u17879), _u17880))) | hBOOL(hAPP(hAPP(c_member(_u17879), _u17877), hAPP(c_List_Oset(_u17879), c_List_Oremove1(_u17879, _u17878, _u17880)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_remove1__commute ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_remove1__commute-1, axiom, ( ( c_List_Oremove1(_u17881, _u17882, c_List_Oremove1(_u17881, _u17883, _u17884)) = c_List_Oremove1(_u17881, _u17883, c_List_Oremove1(_u17881, _u17882, _u17884))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__remove1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__remove1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17885), _u17886)) | hBOOL(hAPP(c_List_Odistinct(_u17885), c_List_Oremove1(_u17885, _u17887, _u17886))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_sorted__list__of__set__remove ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_sorted__list__of__set__remove-1, axiom, ( ~class_Orderings_Olinorder(_u17888) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17888), _u17889)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17888, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17888, tc_HOL_Obool)), _u17889), hAPP(hAPP(c_Set_Oinsert(_u17888), _u17890), c_Orderings_Obot__class_Obot(tc_fun(_u17888, tc_HOL_Obool))))) = c_List_Oremove1(_u17888, _u17890, c_List_Olinorder__class_Osorted__list__of__set(_u17888, _u17889))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__zip__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__zip__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17896), _u17898), hAPP(c_List_Oset(_u17896), _u17900))) | ( hAPP(c_Map_Omap__of(_u17896, _u17902, hAPP(hAPP(c_List_Ozip(_u17896, _u17902), _u17900), hAPP(hAPP(c_List_Omap(_u17896, _u17902), _u17904), _u17900))), _u17898) = hAPP(c_Option_Ooption_OSome(_u17902), hAPP(_u17904, _u17898))) )).
% 27.68/27.91 cnf(fact_map__of__zip__map-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17897), _u17899), hAPP(c_List_Oset(_u17897), _u17901))) | ( hAPP(c_Map_Omap__of(_u17897, _u17903, hAPP(hAPP(c_List_Ozip(_u17897, _u17903), _u17901), hAPP(hAPP(c_List_Omap(_u17897, _u17903), _u17905), _u17901))), _u17899) = c_Option_Ooption_ONone(_u17903)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__zipI1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__zipI1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17906), _u17907)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17906, _u17908)), hAPP(hAPP(c_List_Ozip(_u17906, _u17908), _u17907), _u17909))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__zipI2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__zipI2-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17910), _u17911)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17912, _u17910)), hAPP(hAPP(c_List_Ozip(_u17912, _u17910), _u17913), _u17911))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__same__conv__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__same__conv__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17914, _u17914), _u17915), _u17915) = hAPP(hAPP(c_List_Omap(_u17914, tc_prod(_u17914, _u17914)), hAPP(hAPP(c_COMBS(_u17914, _u17914, tc_prod(_u17914, _u17914)), c_Product__Type_OPair(_u17914, _u17914)), c_COMBI(_u17914))), _u17915)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__map__fst__snd ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__map__fst__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17916, _u17917), hAPP(hAPP(c_List_Omap(tc_prod(_u17916, _u17917), _u17916), c_Product__Type_Ofst(_u17916, _u17917)), _u17918)), hAPP(hAPP(c_List_Omap(tc_prod(_u17916, _u17917), _u17917), c_Product__Type_Osnd(_u17916, _u17917)), _u17918)) = _u17918) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__zip__map2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17919, _u17920), _u17921), _u17922), hAPP(hAPP(c_List_Ozip(_u17919, _u17920), _u17923), hAPP(hAPP(c_List_Omap(_u17924, _u17920), _u17925), _u17926))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17919, _u17924), _u17921), hAPP(c_Product__Type_Oprod_Oprod__case(_u17919, _u17924, _u17921), hAPP(hAPP(c_COMBB(tc_fun(_u17924, tc_prod(_u17919, _u17920)), tc_fun(_u17924, _u17921), _u17919), hAPP(c_COMBB(tc_prod(_u17919, _u17920), _u17921, _u17924), _u17922)), hAPP(hAPP(c_COMBC(_u17919, tc_fun(_u17924, _u17920), tc_fun(_u17924, tc_prod(_u17919, _u17920))), hAPP(hAPP(c_COMBB(tc_fun(_u17920, tc_prod(_u17919, _u17920)), tc_fun(tc_fun(_u17924, _u17920), tc_fun(_u17924, tc_prod(_u17919, _u17920))), _u17919), c_COMBB(_u17920, tc_prod(_u17919, _u17920), _u17924)), c_Product__Type_OPair(_u17919, _u17920))), _u17925)))), hAPP(hAPP(c_List_Ozip(_u17919, _u17924), _u17923), _u17926))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__zip__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__zip__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17927, _u17928), _u17929), _u17930), hAPP(hAPP(c_List_Ozip(_u17927, _u17928), hAPP(hAPP(c_List_Omap(_u17931, _u17927), _u17932), _u17933)), _u17934)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17931, _u17928), _u17929), hAPP(c_Product__Type_Oprod_Oprod__case(_u17931, _u17928, _u17929), hAPP(hAPP(c_COMBB(tc_fun(_u17928, tc_prod(_u17927, _u17928)), tc_fun(_u17928, _u17929), _u17931), hAPP(c_COMBB(tc_prod(_u17927, _u17928), _u17929, _u17928), _u17930)), hAPP(hAPP(c_COMBB(_u17927, tc_fun(_u17928, tc_prod(_u17927, _u17928)), _u17931), c_Product__Type_OPair(_u17927, _u17928)), _u17932)))), hAPP(hAPP(c_List_Ozip(_u17931, _u17928), _u17933), _u17934))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_in__set__zipE ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_in__set__zipE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17935, _u17936)), hAPP(hAPP(c_Product__Type_OPair(_u17935, _u17936), _u17937), _u17938)), hAPP(c_List_Oset(tc_prod(_u17935, _u17936)), hAPP(hAPP(c_List_Ozip(_u17935, _u17936), _u17939), _u17940)))) | hBOOL(hAPP(hAPP(c_member(_u17935), _u17937), hAPP(c_List_Oset(_u17935), _u17939))) )).
% 27.68/27.91 cnf(fact_in__set__zipE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17935, _u17936)), hAPP(hAPP(c_Product__Type_OPair(_u17935, _u17936), _u17937), _u17938)), hAPP(c_List_Oset(tc_prod(_u17935, _u17936)), hAPP(hAPP(c_List_Ozip(_u17935, _u17936), _u17939), _u17940)))) | hBOOL(hAPP(hAPP(c_member(_u17936), _u17938), hAPP(c_List_Oset(_u17936), _u17940))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__zip__rightD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__zip__rightD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17942), _u17944), hAPP(c_List_Oset(_u17942), _u17946))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17941, _u17942)), hAPP(hAPP(c_Product__Type_OPair(_u17941, _u17942), _u17943), _u17944)), hAPP(c_List_Oset(tc_prod(_u17941, _u17942)), hAPP(hAPP(c_List_Ozip(_u17941, _u17942), _u17945), _u17946)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__zip__leftD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__zip__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17947, _u17948)), hAPP(hAPP(c_Product__Type_OPair(_u17947, _u17948), _u17949), _u17950)), hAPP(c_List_Oset(tc_prod(_u17947, _u17948)), hAPP(hAPP(c_List_Ozip(_u17947, _u17948), _u17951), _u17952)))) | hBOOL(hAPP(hAPP(c_member(_u17947), _u17949), hAPP(c_List_Oset(_u17947), _u17951))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__same ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17957, _u17957)), hAPP(hAPP(c_Product__Type_OPair(_u17957, _u17957), _u17959), _u17961)), hAPP(c_List_Oset(tc_prod(_u17957, _u17957)), hAPP(hAPP(c_List_Ozip(_u17957, _u17957), _u17963), _u17963)))) | hBOOL(hAPP(hAPP(c_member(_u17957), _u17959), hAPP(c_List_Oset(_u17957), _u17963))) )).
% 27.68/27.91 cnf(fact_zip__same-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17957, _u17957)), hAPP(hAPP(c_Product__Type_OPair(_u17957, _u17957), _u17959), _u17961)), hAPP(c_List_Oset(tc_prod(_u17957, _u17957)), hAPP(hAPP(c_List_Ozip(_u17957, _u17957), _u17963), _u17963)))) | ( _u17959 = _u17961) )).
% 27.68/27.91 cnf(fact_zip__same-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17958), _u17960), hAPP(c_List_Oset(_u17958), _u17964))) | ( _u17960 != _u17962) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17958, _u17958)), hAPP(hAPP(c_Product__Type_OPair(_u17958, _u17958), _u17960), _u17962)), hAPP(c_List_Oset(tc_prod(_u17958, _u17958)), hAPP(hAPP(c_List_Ozip(_u17958, _u17958), _u17964), _u17964)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__map2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17965, _u17966), _u17967), hAPP(hAPP(c_List_Omap(_u17968, _u17966), _u17969), _u17970)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17965, _u17968), tc_prod(_u17965, _u17966)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17965, _u17968, tc_prod(_u17965, _u17966)), hAPP(hAPP(c_COMBC(_u17965, tc_fun(_u17968, _u17966), tc_fun(_u17968, tc_prod(_u17965, _u17966))), hAPP(hAPP(c_COMBB(tc_fun(_u17966, tc_prod(_u17965, _u17966)), tc_fun(tc_fun(_u17968, _u17966), tc_fun(_u17968, tc_prod(_u17965, _u17966))), _u17965), c_COMBB(_u17966, tc_prod(_u17965, _u17966), _u17968)), c_Product__Type_OPair(_u17965, _u17966))), _u17969))), hAPP(hAPP(c_List_Ozip(_u17965, _u17968), _u17967), _u17970))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__map1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__map1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17971, _u17972), hAPP(hAPP(c_List_Omap(_u17973, _u17971), _u17974), _u17975)), _u17976) = hAPP(hAPP(c_List_Omap(tc_prod(_u17973, _u17972), tc_prod(_u17971, _u17972)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17973, _u17972, tc_prod(_u17971, _u17972)), hAPP(hAPP(c_COMBB(_u17971, tc_fun(_u17972, tc_prod(_u17971, _u17972)), _u17973), c_Product__Type_OPair(_u17971, _u17972)), _u17974))), hAPP(hAPP(c_List_Ozip(_u17973, _u17972), _u17975), _u17976))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__map__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__map__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17977, _u17978), hAPP(hAPP(c_List_Omap(_u17979, _u17977), _u17980), _u17981)), hAPP(hAPP(c_List_Omap(_u17982, _u17978), _u17983), _u17984)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17979, _u17982), tc_prod(_u17977, _u17978)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17979, _u17982, tc_prod(_u17977, _u17978)), hAPP(hAPP(c_COMBC(_u17979, tc_fun(_u17982, _u17978), tc_fun(_u17982, tc_prod(_u17977, _u17978))), hAPP(hAPP(c_COMBB(tc_fun(_u17978, tc_prod(_u17977, _u17978)), tc_fun(tc_fun(_u17982, _u17978), tc_fun(_u17982, tc_prod(_u17977, _u17978))), _u17979), c_COMBB(_u17978, tc_prod(_u17977, _u17978), _u17982)), hAPP(hAPP(c_COMBB(_u17977, tc_fun(_u17978, tc_prod(_u17977, _u17978)), _u17979), c_Product__Type_OPair(_u17977, _u17978)), _u17980))), _u17983))), hAPP(hAPP(c_List_Ozip(_u17979, _u17982), _u17981), _u17984))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_sorted__list__of__set__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_sorted__list__of__set__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17985) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17985), _u17986)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17985, hAPP(hAPP(c_Set_Oinsert(_u17985), _u17987), _u17986)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17985, _u17985, c_COMBI(_u17985)), _u17987), c_List_Olinorder__class_Osorted__list__of__set(_u17985, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17985, tc_HOL_Obool)), _u17986), hAPP(hAPP(c_Set_Oinsert(_u17985), _u17987), c_Orderings_Obot__class_Obot(tc_fun(_u17985, tc_HOL_Obool))))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__zip__upd ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__zip__upd-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17988)), _u17989) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17990)), _u17991)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17988)), _u17992) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17990)), _u17991)) | hBOOL(hAPP(hAPP(c_member(_u17990), _u17993), hAPP(c_List_Oset(_u17990), _u17991))) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17990, tc_Option_Ooption(_u17988)), c_Map_Omap__of(_u17990, _u17988, hAPP(hAPP(c_List_Ozip(_u17990, _u17988), _u17991), _u17989))), _u17993), hAPP(c_Option_Ooption_OSome(_u17988), _u17994)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17990, tc_Option_Ooption(_u17988)), c_Map_Omap__of(_u17990, _u17988, hAPP(hAPP(c_List_Ozip(_u17990, _u17988), _u17991), _u17992))), _u17993), hAPP(c_Option_Ooption_OSome(_u17988), _u17995))) | ( c_Map_Omap__of(_u17990, _u17988, hAPP(hAPP(c_List_Ozip(_u17990, _u17988), _u17991), _u17989)) = c_Map_Omap__of(_u17990, _u17988, hAPP(hAPP(c_List_Ozip(_u17990, _u17988), _u17991), _u17992))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__zip ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u17996, _u17997))), hAPP(hAPP(c_List_Ozip(_u17996, _u17997), _u17998), _u17999)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17996)), _u17998)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17997)), _u17999))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__insort ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18000) | ( hAPP(c_List_Oset(_u18001), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18001, _u18000, _u18002), _u18003), _u18004)) = hAPP(hAPP(c_Set_Oinsert(_u18001), _u18003), hAPP(c_List_Oset(_u18001), _u18004))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_insort__left__comm ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_insort__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u18005) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18005, _u18005, c_COMBI(_u18005)), _u18006), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18005, _u18005, c_COMBI(_u18005)), _u18007), _u18008)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18005, _u18005, c_COMBI(_u18005)), _u18007), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18005, _u18005, c_COMBI(_u18005)), _u18006), _u18008))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_insort__key__left__comm ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_insort__key__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u18009) | ( hAPP(_u18010, _u18011) = hAPP(_u18010, _u18012)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18013, _u18009, _u18010), _u18012), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18013, _u18009, _u18010), _u18011), _u18014)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18013, _u18009, _u18010), _u18011), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18013, _u18009, _u18010), _u18012), _u18014))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__insort ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18015) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18016)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18016, _u18015, _u18017), _u18018), _u18019)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18016)), _u18019))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_neq__if__length__neq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_neq__if__length__neq-1, axiom, ( ( _u18021 != _u18022) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18020)), _u18021) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18020)), _u18022)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__left__comm__insort ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__left__comm__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18023) | c_Finite__Set_Ofun__left__comm(_u18023, tc_List_Olist(_u18023), c_List_Olinorder__class_Oinsort__key(_u18023, _u18023, c_COMBI(_u18023))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_lexn__length ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_lexn__length-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18024), tc_List_Olist(_u18024))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18024), tc_List_Olist(_u18024)), _u18025), _u18026)), hAPP(c_List_Olexn(_u18024, _u18027), _u18028))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18024)), _u18025) = _u18028) )).
% 27.68/27.91 cnf(fact_lexn__length-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18024), tc_List_Olist(_u18024))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18024), tc_List_Olist(_u18024)), _u18025), _u18026)), hAPP(c_List_Olexn(_u18024, _u18027), _u18028))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18024)), _u18026) = _u18028) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__eq__imp__length__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__eq__imp__length__eq-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18029, _u18030), _u18031), _u18032) != hAPP(hAPP(c_List_Omap(_u18033, _u18030), _u18034), _u18035)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18029)), _u18032) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18033)), _u18035)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18036)), hAPP(hAPP(c_List_Omap(_u18037, _u18036), _u18038), _u18039)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18037)), _u18039)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_remove1__insort ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_remove1__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18040) | ( c_List_Oremove1(_u18040, _u18041, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18040, _u18040, c_COMBI(_u18040)), _u18041), _u18042)) = _u18042) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_card__length ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_card__length-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u18043), hAPP(c_List_Oset(_u18043), _u18044))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18043)), _u18044))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__card ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__card-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18045), _u18046)) | ( hAPP(c_Finite__Set_Ocard(_u18045), hAPP(c_List_Oset(_u18045), _u18046)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18045)), _u18046)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_card__distinct ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_card__distinct-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u18047), hAPP(c_List_Oset(_u18047), _u18048)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18047)), _u18048)) | hBOOL(hAPP(c_List_Odistinct(_u18047), _u18048)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__zip__inject ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__zip__inject-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18049)), _u18050) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18051)), _u18052)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18049)), _u18053) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18051)), _u18052)) | ~hBOOL(hAPP(c_List_Odistinct(_u18051), _u18052)) | ( c_Map_Omap__of(_u18051, _u18049, hAPP(hAPP(c_List_Ozip(_u18051, _u18049), _u18052), _u18050)) != c_Map_Omap__of(_u18051, _u18049, hAPP(hAPP(c_List_Ozip(_u18051, _u18049), _u18052), _u18053))) | ( _u18050 = _u18053) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__fst__zip ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__fst__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18054)), _u18055) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18056)), _u18057)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u18054, _u18056), _u18054), c_Product__Type_Ofst(_u18054, _u18056)), hAPP(hAPP(c_List_Ozip(_u18054, _u18056), _u18055), _u18057)) = _u18055) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__snd__zip ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__snd__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18058)), _u18059) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18060)), _u18061)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u18058, _u18060), _u18060), c_Product__Type_Osnd(_u18058, _u18060)), hAPP(hAPP(c_List_Ozip(_u18058, _u18060), _u18059), _u18061)) = _u18061) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__insort ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18062) | ~hBOOL(hAPP(c_List_Odistinct(_u18063), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18063, _u18062, _u18064), _u18065), _u18066))) | ~hBOOL(hAPP(hAPP(c_member(_u18063), _u18065), hAPP(c_List_Oset(_u18063), _u18066))) )).
% 27.68/27.91 cnf(fact_distinct__insort-2, axiom, ( ~class_Orderings_Olinorder(_u18062) | ~hBOOL(hAPP(c_List_Odistinct(_u18063), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18063, _u18062, _u18064), _u18065), _u18066))) | hBOOL(hAPP(c_List_Odistinct(_u18063), _u18066)) )).
% 27.68/27.91 cnf(fact_distinct__insort-3, axiom, ( ~class_Orderings_Olinorder(_u18062) | hBOOL(hAPP(hAPP(c_member(_u18063), _u18065), hAPP(c_List_Oset(_u18063), _u18066))) | ~hBOOL(hAPP(c_List_Odistinct(_u18063), _u18066)) | hBOOL(hAPP(c_List_Odistinct(_u18063), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18063, _u18062, _u18064), _u18065), _u18066))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__pos__if__in__set ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__pos__if__in__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18067), _u18068), hAPP(c_List_Oset(_u18067), _u18069))) | 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(_u18067)), _u18069))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__eq__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__eq__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18070)), _u18071) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18072)), _u18073)) | ( hAPP(hAPP(c_List_Ozip(_u18070, _u18072), _u18071), _u18073) != _u18074) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u18070, _u18072), _u18070), c_Product__Type_Ofst(_u18070, _u18072)), _u18074) = _u18071) )).
% 27.68/27.91 cnf(fact_zip__eq__conv-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18070)), _u18071) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18072)), _u18073)) | ( hAPP(hAPP(c_List_Ozip(_u18070, _u18072), _u18071), _u18073) != _u18074) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u18070, _u18072), _u18072), c_Product__Type_Osnd(_u18070, _u18072)), _u18074) = _u18073) )).
% 27.68/27.91 cnf(fact_zip__eq__conv-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18070)), _u18071) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18072)), _u18073)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u18070, _u18072), _u18070), c_Product__Type_Ofst(_u18070, _u18072)), _u18074) != _u18071) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u18070, _u18072), _u18072), c_Product__Type_Osnd(_u18070, _u18072)), _u18074) != _u18073) | ( hAPP(hAPP(c_List_Ozip(_u18070, _u18072), _u18071), _u18073) = _u18074) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_lenlex__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_lenlex__conv-1, axiom, ( ( c_List_Olenlex(_u18075, _u18076) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18075), tc_List_Olist(_u18075), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18075), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18075), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), tc_List_Olist(_u18075)), c_COMBS(tc_List_Olist(_u18075), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u18075)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18075)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18075), tc_fun(tc_List_Olist(_u18075), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18075), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), tc_List_Olist(_u18075)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18075))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18075)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18075))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18075)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18075), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18075), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), tc_List_Olist(_u18075)), c_COMBS(tc_List_Olist(_u18075), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u18075)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18075)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18075), tc_fun(tc_List_Olist(_u18075), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18075), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), tc_List_Olist(_u18075)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18075))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18075)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18075))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18075)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18075), tc_fun(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18075), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), tc_List_Olist(_u18075)), c_COMBC(tc_List_Olist(_u18075), tc_fun(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18075), tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075))), tc_fun(tc_List_Olist(_u18075), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u18075)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18075)), c_member(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075))))), c_Product__Type_OPair(tc_List_Olist(_u18075), tc_List_Olist(_u18075))))), c_List_Olex(_u18075, _u18076))))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_lenlex__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_lenlex__def-1, axiom, ( ( c_List_Olenlex(_u18077, _u18078) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u18077)), tc_List_Olist(_u18077)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u18077), c_Wellfounded_Oless__than, c_List_Olex(_u18077, _u18078))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18077), tc_List_Olist(_u18077), tc_prod(tc_Nat_Onat, tc_List_Olist(_u18077))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u18077), tc_prod(tc_Nat_Onat, tc_List_Olist(_u18077))), tc_List_Olist(_u18077)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u18077))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18077)))), c_COMBI(tc_List_Olist(_u18077))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_finite__lists__length__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_finite__lists__length__eq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18079), _u18080)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u18079)), hAPP(c_Set_OCollect(tc_List_Olist(_u18079)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18079), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18079)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18079), tc_fun(_u18079, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18079, tc_HOL_Obool), tc_fun(tc_fun(_u18079, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18079)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u18079, tc_HOL_Obool))), c_List_Oset(_u18079))), _u18080))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18079), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18079)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18079)))), _u18081))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__eq__iff__zip__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__eq__iff__zip__eq-1, axiom, ( ( _u18087 != _u18089) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18091)), _u18087) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18091)), _u18089)) )).
% 27.68/27.91 cnf(fact_list__eq__iff__zip__eq-2, axiom, ( ( _u18087 != _u18089) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18091, _u18091)), _u18082), hAPP(c_List_Oset(tc_prod(_u18091, _u18091)), hAPP(hAPP(c_List_Ozip(_u18091, _u18091), _u18087), _u18089)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18091, _u18091, tc_HOL_Obool), c_fequal), _u18082)) )).
% 27.68/27.91 cnf(fact_list__eq__iff__zip__eq-3, axiom, ( ( _u18088 = _u18090) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18092)), _u18088) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18092)), _u18090)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18092, _u18092)), skolem452(_u18092, _u18090, _u18088)), hAPP(c_List_Oset(tc_prod(_u18092, _u18092)), hAPP(hAPP(c_List_Ozip(_u18092, _u18092), _u18088), _u18090)))) )).
% 27.68/27.91 cnf(fact_list__eq__iff__zip__eq-4, axiom, ( ( _u18088 = _u18090) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18092)), _u18088) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18092)), _u18090)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18092, _u18092, tc_HOL_Obool), c_fequal), skolem452(_u18092, _u18090, _u18088))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__zip__is__None ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__zip__is__None-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18093)), _u18094) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18095)), _u18096)) | ( hAPP(c_Map_Omap__of(_u18093, _u18095, hAPP(hAPP(c_List_Ozip(_u18093, _u18095), _u18094), _u18096)), _u18097) != c_Option_Ooption_ONone(_u18095)) | ~hBOOL(hAPP(hAPP(c_member(_u18093), _u18097), hAPP(c_List_Oset(_u18093), _u18094))) )).
% 27.68/27.91 cnf(fact_map__of__zip__is__None-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18093)), _u18094) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18095)), _u18096)) | hBOOL(hAPP(hAPP(c_member(_u18093), _u18097), hAPP(c_List_Oset(_u18093), _u18094))) | ( hAPP(c_Map_Omap__of(_u18093, _u18095, hAPP(hAPP(c_List_Ozip(_u18093, _u18095), _u18094), _u18096)), _u18097) = c_Option_Ooption_ONone(_u18095)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__zip__is__Some ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__zip__is__Some-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18100)), _u18101) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18102)), _u18103)) | ~hBOOL(hAPP(hAPP(c_member(_u18100), _u18104), hAPP(c_List_Oset(_u18100), _u18101))) | ( hAPP(c_Map_Omap__of(_u18100, _u18102, hAPP(hAPP(c_List_Ozip(_u18100, _u18102), _u18101), _u18103)), _u18104) = hAPP(c_Option_Ooption_OSome(_u18102), skolem453(_u18104, _u18103, _u18102, _u18101, _u18100))) )).
% 27.68/27.91 cnf(fact_map__of__zip__is__Some-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18100)), _u18101) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18102)), _u18103)) | ( hAPP(c_Map_Omap__of(_u18100, _u18102, hAPP(hAPP(c_List_Ozip(_u18100, _u18102), _u18101), _u18103)), _u18104) != hAPP(c_Option_Ooption_OSome(_u18102), _u18099)) | hBOOL(hAPP(hAPP(c_member(_u18100), _u18104), hAPP(c_List_Oset(_u18100), _u18101))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__remove1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__remove1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18108), _u18110), hAPP(c_List_Oset(_u18108), _u18112))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18108)), c_List_Oremove1(_u18108, _u18110, _u18112)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18108)), _u18112)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.68/27.91 cnf(fact_length__remove1-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18109), _u18111), hAPP(c_List_Oset(_u18109), _u18113))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18109)), c_List_Oremove1(_u18109, _u18111, _u18113)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18109)), _u18113)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_dom__map__of__zip ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_dom__map__of__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18114)), _u18115) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18116)), _u18117)) | ~hBOOL(hAPP(c_List_Odistinct(_u18114), _u18115)) | ( c_Map_Odom(_u18114, _u18116, c_Map_Omap__of(_u18114, _u18116, hAPP(hAPP(c_List_Ozip(_u18114, _u18116), _u18115), _u18117))) = hAPP(c_List_Oset(_u18114), _u18115)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_finite__lists__length__le ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_finite__lists__length__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18118), _u18119)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u18118)), hAPP(c_Set_OCollect(tc_List_Olist(_u18118)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18118), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18118)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18118), tc_fun(_u18118, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18118, tc_HOL_Obool), tc_fun(tc_fun(_u18118, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18118)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u18118, tc_HOL_Obool))), c_List_Oset(_u18118))), _u18119))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18118), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18118)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18118)))), _u18120))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Nitpick_Ocard_H__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Nitpick_Ocard_H__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18123), _u18125)) | ( c_Nitpick_Ocard_H(_u18123, _u18125) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18123)), c_Hilbert__Choice_OEps(tc_List_Olist(_u18123), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18123), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18123)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18123), tc_fun(_u18123, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18123, tc_HOL_Obool), tc_fun(tc_fun(_u18123, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18123)), c_fequal), c_List_Oset(_u18123))), _u18125))), c_List_Odistinct(_u18123))))) )).
% 27.68/27.91 cnf(fact_Nitpick_Ocard_H__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u18124), _u18126)) | ( c_Nitpick_Ocard_H(_u18124, _u18126) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__iff__zip ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__iff__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18133), tc_List_Olist(_u18133))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18133), tc_List_Olist(_u18133)), _u18135), _u18137)), c_List_Olistrel(_u18133, _u18139))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18133)), _u18135) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18133)), _u18137)) )).
% 27.68/27.91 cnf(fact_listrel__iff__zip-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18133), tc_List_Olist(_u18133))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18133), tc_List_Olist(_u18133)), _u18135), _u18137)), c_List_Olistrel(_u18133, _u18139))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18133, _u18133)), _u18127), hAPP(c_List_Oset(tc_prod(_u18133, _u18133)), hAPP(hAPP(c_List_Ozip(_u18133, _u18133), _u18135), _u18137)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18133, _u18133, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u18133, tc_fun(tc_prod(_u18133, _u18133), tc_HOL_Obool), tc_fun(_u18133, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18133, tc_fun(tc_fun(tc_prod(_u18133, _u18133), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18133, _u18133), tc_HOL_Obool), tc_fun(_u18133, tc_HOL_Obool)), _u18133), c_COMBC(_u18133, tc_fun(tc_prod(_u18133, _u18133), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18133, tc_prod(_u18133, _u18133)), tc_fun(_u18133, tc_fun(tc_fun(tc_prod(_u18133, _u18133), tc_HOL_Obool), tc_HOL_Obool)), _u18133), hAPP(c_COMBB(tc_prod(_u18133, _u18133), tc_fun(tc_fun(tc_prod(_u18133, _u18133), tc_HOL_Obool), tc_HOL_Obool), _u18133), c_member(tc_prod(_u18133, _u18133)))), c_Product__Type_OPair(_u18133, _u18133)))), _u18139)), _u18127)) )).
% 27.68/27.91 cnf(fact_listrel__iff__zip-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18134), tc_List_Olist(_u18134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18134), tc_List_Olist(_u18134)), _u18136), _u18138)), c_List_Olistrel(_u18134, _u18140))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18134)), _u18136) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18134)), _u18138)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18134, _u18134)), skolem454(_u18140, _u18138, _u18136, _u18134)), hAPP(c_List_Oset(tc_prod(_u18134, _u18134)), hAPP(hAPP(c_List_Ozip(_u18134, _u18134), _u18136), _u18138)))) )).
% 27.68/27.91 cnf(fact_listrel__iff__zip-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18134), tc_List_Olist(_u18134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18134), tc_List_Olist(_u18134)), _u18136), _u18138)), c_List_Olistrel(_u18134, _u18140))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18134)), _u18136) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18134)), _u18138)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18134, _u18134, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u18134, tc_fun(tc_prod(_u18134, _u18134), tc_HOL_Obool), tc_fun(_u18134, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18134, tc_fun(tc_fun(tc_prod(_u18134, _u18134), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18134, _u18134), tc_HOL_Obool), tc_fun(_u18134, tc_HOL_Obool)), _u18134), c_COMBC(_u18134, tc_fun(tc_prod(_u18134, _u18134), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18134, tc_prod(_u18134, _u18134)), tc_fun(_u18134, tc_fun(tc_fun(tc_prod(_u18134, _u18134), tc_HOL_Obool), tc_HOL_Obool)), _u18134), hAPP(c_COMBB(tc_prod(_u18134, _u18134), tc_fun(tc_fun(tc_prod(_u18134, _u18134), tc_HOL_Obool), tc_HOL_Obool), _u18134), c_member(tc_prod(_u18134, _u18134)))), c_Product__Type_OPair(_u18134, _u18134)))), _u18140)), skolem454(_u18140, _u18138, _u18136, _u18134))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__rtrancl__refl ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__rtrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18141), tc_List_Olist(_u18141))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18141), tc_List_Olist(_u18141)), _u18142), _u18142)), c_List_Olistrel(_u18141, c_Transitive__Closure_Ortrancl(_u18141, _u18143)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__eq__len ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18144), tc_List_Olist(_u18144))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18144), tc_List_Olist(_u18144)), _u18145), _u18146)), c_List_Olistrel(_u18144, _u18147))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18144)), _u18145) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18144)), _u18146)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__rtrancl__trans ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18148), tc_List_Olist(_u18148))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18148), tc_List_Olist(_u18148)), _u18149), _u18150)), c_List_Olistrel(_u18148, c_Transitive__Closure_Ortrancl(_u18148, _u18151)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18148), tc_List_Olist(_u18148))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18148), tc_List_Olist(_u18148)), _u18150), _u18152)), c_List_Olistrel(_u18148, c_Transitive__Closure_Ortrancl(_u18148, _u18151)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18148), tc_List_Olist(_u18148))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18148), tc_List_Olist(_u18148)), _u18149), _u18152)), c_List_Olistrel(_u18148, c_Transitive__Closure_Ortrancl(_u18148, _u18151)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__mono ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18153, _u18153), tc_HOL_Obool)), _u18154), _u18155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u18153), tc_List_Olist(_u18153)), tc_HOL_Obool)), c_List_Olistrel(_u18153, _u18154)), c_List_Olistrel(_u18153, _u18155))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrelp__listrel__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrelp__listrel__eq-1, axiom, ( ~c_List_Olistrelp(_u18160, hAPP(hAPP(c_COMBC(_u18160, tc_fun(tc_prod(_u18160, _u18160), tc_HOL_Obool), tc_fun(_u18160, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18160, tc_fun(tc_fun(tc_prod(_u18160, _u18160), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18160, _u18160), tc_HOL_Obool), tc_fun(_u18160, tc_HOL_Obool)), _u18160), c_COMBC(_u18160, tc_fun(tc_prod(_u18160, _u18160), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18160, tc_prod(_u18160, _u18160)), tc_fun(_u18160, tc_fun(tc_fun(tc_prod(_u18160, _u18160), tc_HOL_Obool), tc_HOL_Obool)), _u18160), hAPP(c_COMBB(tc_prod(_u18160, _u18160), tc_fun(tc_fun(tc_prod(_u18160, _u18160), tc_HOL_Obool), tc_HOL_Obool), _u18160), c_member(tc_prod(_u18160, _u18160)))), c_Product__Type_OPair(_u18160, _u18160)))), _u18162), _u18164, _u18166) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18160), tc_List_Olist(_u18160))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18160), tc_List_Olist(_u18160)), _u18164), _u18166)), c_List_Olistrel(_u18160, _u18162))) )).
% 27.68/27.91 cnf(fact_listrelp__listrel__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18161), tc_List_Olist(_u18161))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18161), tc_List_Olist(_u18161)), _u18165), _u18167)), c_List_Olistrel(_u18161, _u18163))) | c_List_Olistrelp(_u18161, hAPP(hAPP(c_COMBC(_u18161, tc_fun(tc_prod(_u18161, _u18161), tc_HOL_Obool), tc_fun(_u18161, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18161, tc_fun(tc_fun(tc_prod(_u18161, _u18161), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18161, _u18161), tc_HOL_Obool), tc_fun(_u18161, tc_HOL_Obool)), _u18161), c_COMBC(_u18161, tc_fun(tc_prod(_u18161, _u18161), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18161, tc_prod(_u18161, _u18161)), tc_fun(_u18161, tc_fun(tc_fun(tc_prod(_u18161, _u18161), tc_HOL_Obool), tc_HOL_Obool)), _u18161), hAPP(c_COMBB(tc_prod(_u18161, _u18161), tc_fun(tc_fun(tc_prod(_u18161, _u18161), tc_HOL_Obool), tc_HOL_Obool), _u18161), c_member(tc_prod(_u18161, _u18161)))), c_Product__Type_OPair(_u18161, _u18161)))), _u18163), _u18165, _u18167) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_lexn_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_lexn_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Olexn(_u18168, _u18169), hAPP(c_Nat_OSuc, _u18170)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u18168), tc_List_Olist(_u18168)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u18168, tc_List_Olist(_u18168)), tc_prod(_u18168, tc_List_Olist(_u18168))), tc_prod(tc_List_Olist(_u18168), tc_List_Olist(_u18168)), c_Product__Type_Omap__pair(tc_prod(_u18168, tc_List_Olist(_u18168)), tc_List_Olist(_u18168), tc_prod(_u18168, tc_List_Olist(_u18168)), tc_List_Olist(_u18168), hAPP(c_Product__Type_Oprod_Oprod__case(_u18168, tc_List_Olist(_u18168), tc_List_Olist(_u18168)), c_List_Olist_OCons(_u18168)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18168, tc_List_Olist(_u18168), tc_List_Olist(_u18168)), c_List_Olist_OCons(_u18168)))), c_Wellfounded_Olex__prod(_u18168, tc_List_Olist(_u18168), _u18169, hAPP(c_List_Olexn(_u18168, _u18169), _u18170)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u18168), tc_List_Olist(_u18168))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18168), tc_List_Olist(_u18168), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18168), tc_fun(tc_List_Olist(_u18168), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18168), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18168), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18168), tc_HOL_Obool)), tc_List_Olist(_u18168)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18168))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18168)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18168), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18168)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18168)))), hAPP(c_Nat_OSuc, _u18170))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18168), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18168)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18168)))), hAPP(c_Nat_OSuc, _u18170))))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_impossible__Cons ( axiom ) converted to clauses:
% 27.68/27.91 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(_u18171)), _u18172)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18171)), _u18173))) | ( _u18172 != hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18174), _u18173)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__ConsD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__ConsD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18175), _u18176), hAPP(c_List_Oset(_u18175), hAPP(hAPP(c_List_Olist_OCons(_u18175), _u18177), _u18178)))) | ( _u18176 = _u18177) | hBOOL(hAPP(hAPP(c_member(_u18175), _u18176), hAPP(c_List_Oset(_u18175), _u18178))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__Cons__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__Cons__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18179, _u18180), hAPP(hAPP(c_List_Olist_OCons(_u18179), _u18181), _u18182)), hAPP(hAPP(c_List_Olist_OCons(_u18180), _u18183), _u18184)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18179, _u18180)), hAPP(hAPP(c_Product__Type_OPair(_u18179, _u18180), _u18181), _u18183)), hAPP(hAPP(c_List_Ozip(_u18179, _u18180), _u18182), _u18184))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__subset__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__subset__Cons-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18185, tc_HOL_Obool)), hAPP(c_List_Oset(_u18185), _u18186)), hAPP(c_List_Oset(_u18185), hAPP(hAPP(c_List_Olist_OCons(_u18185), _u18187), _u18186)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_List_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_List_Oset_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Oset(_u18188), hAPP(hAPP(c_List_Olist_OCons(_u18188), _u18189), _u18190)) = hAPP(hAPP(c_Set_Oinsert(_u18188), _u18189), hAPP(c_List_Oset(_u18188), _u18190))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_foldr_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_foldr_Osimps_I2_J-1, axiom, ( ( c_List_Ofoldr(_u18191, _u18192, _u18193, hAPP(hAPP(c_List_Olist_OCons(_u18191), _u18194), _u18195), _u18196) = hAPP(hAPP(_u18193, _u18194), c_List_Ofoldr(_u18191, _u18192, _u18193, _u18195, _u18196))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrelp_OCons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrelp_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(_u18197, _u18198), _u18199)) | ~c_List_Olistrelp(_u18200, _u18197, _u18201, _u18202) | c_List_Olistrelp(_u18200, _u18197, hAPP(hAPP(c_List_Olist_OCons(_u18200), _u18198), _u18201), hAPP(hAPP(c_List_Olist_OCons(_u18200), _u18199), _u18202)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrelp_Oequations_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrelp_Oequations_I2_J-1, axiom, ( ~c_List_Olistrelp(_u18209, _u18211, hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18213), _u18215), hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18217), _u18219)) | hBOOL(hAPP(hAPP(_u18211, _u18213), _u18217)) )).
% 27.68/27.91 cnf(fact_listrelp_Oequations_I2_J-2, axiom, ( ~c_List_Olistrelp(_u18209, _u18211, hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18213), _u18215), hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18217), _u18219)) | c_List_Olistrelp(_u18209, _u18211, _u18215, _u18219) )).
% 27.68/27.91 cnf(fact_listrelp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(hAPP(_u18212, _u18214), _u18218)) | ~c_List_Olistrelp(_u18210, _u18212, _u18216, _u18220) | c_List_Olistrelp(_u18210, _u18212, hAPP(hAPP(c_List_Olist_OCons(_u18210), _u18214), _u18216), hAPP(hAPP(c_List_Olist_OCons(_u18210), _u18218), _u18220)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list_Oinject ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list_Oinject-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18226), _u18228), _u18230) != hAPP(hAPP(c_List_Olist_OCons(_u18226), _u18232), _u18234)) | ( _u18228 = _u18232) )).
% 27.68/27.91 cnf(fact_list_Oinject-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18226), _u18228), _u18230) != hAPP(hAPP(c_List_Olist_OCons(_u18226), _u18232), _u18234)) | ( _u18230 = _u18234) )).
% 27.68/27.91 cnf(fact_list_Oinject-3, axiom, ( ( _u18229 != _u18233) | ( _u18231 != _u18235) | ( hAPP(hAPP(c_List_Olist_OCons(_u18227), _u18229), _u18231) = hAPP(hAPP(c_List_Olist_OCons(_u18227), _u18233), _u18235)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_not__Cons__self2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_not__Cons__self2-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18236), _u18237), _u18238) != _u18238) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_not__Cons__self ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_not__Cons__self-1, axiom, ( ( _u18239 != hAPP(hAPP(c_List_Olist_OCons(_u18240), _u18241), _u18239)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18242, _u18243), _u18244), hAPP(hAPP(c_List_Olist_OCons(_u18242), _u18245), _u18246)) = hAPP(hAPP(c_List_Olist_OCons(_u18243), hAPP(_u18244, _u18245)), hAPP(hAPP(c_List_Omap(_u18242, _u18243), _u18244), _u18246))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_remove1_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_remove1_Osimps_I2_J-1, axiom, ( ( _u18251 != _u18253) | ( c_List_Oremove1(_u18255, _u18251, hAPP(hAPP(c_List_Olist_OCons(_u18255), _u18253), _u18257)) = _u18257) )).
% 27.68/27.91 cnf(fact_remove1_Osimps_I2_J-2, axiom, ( ( _u18252 = _u18254) | ( c_List_Oremove1(_u18256, _u18252, hAPP(hAPP(c_List_Olist_OCons(_u18256), _u18254), _u18258)) = hAPP(hAPP(c_List_Olist_OCons(_u18256), _u18254), c_List_Oremove1(_u18256, _u18252, _u18258))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_insort__key_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_insort__key_Osimps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u18259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18259), hAPP(_u18260, _u18261)), hAPP(_u18260, _u18262))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18263, _u18259, _u18260), _u18261), hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18262), _u18264)) = hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18261), hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18262), _u18264))) )).
% 27.68/27.91 cnf(fact_insort__key_Osimps_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u18259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18259), hAPP(_u18260, _u18261)), hAPP(_u18260, _u18262))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18263, _u18259, _u18260), _u18261), hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18262), _u18264)) = hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18262), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18263, _u18259, _u18260), _u18261), _u18264))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18268), hAPP(hAPP(c_List_Olist_OCons(_u18268), _u18270), _u18272))) | ~hBOOL(hAPP(hAPP(c_member(_u18268), _u18270), hAPP(c_List_Oset(_u18268), _u18272))) )).
% 27.68/27.91 cnf(fact_distinct_Osimps_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18268), hAPP(hAPP(c_List_Olist_OCons(_u18268), _u18270), _u18272))) | hBOOL(hAPP(c_List_Odistinct(_u18268), _u18272)) )).
% 27.68/27.91 cnf(fact_distinct_Osimps_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18269), _u18271), hAPP(c_List_Oset(_u18269), _u18273))) | ~hBOOL(hAPP(c_List_Odistinct(_u18269), _u18273)) | hBOOL(hAPP(c_List_Odistinct(_u18269), hAPP(hAPP(c_List_Olist_OCons(_u18269), _u18271), _u18273))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__Cons__code_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__Cons__code_I2_J-1, axiom, ( ( _u18280 != _u18282) | ( hAPP(c_Map_Omap__of(_u18284, _u18286, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18284, _u18286)), hAPP(hAPP(c_Product__Type_OPair(_u18284, _u18286), _u18280), _u18288)), _u18290)), _u18282) = hAPP(c_Option_Ooption_OSome(_u18286), _u18288)) )).
% 27.68/27.91 cnf(fact_map__of__Cons__code_I2_J-2, axiom, ( ( _u18281 = _u18283) | ( hAPP(c_Map_Omap__of(_u18285, _u18287, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18285, _u18287)), hAPP(hAPP(c_Product__Type_OPair(_u18285, _u18287), _u18281), _u18289)), _u18291)), _u18283) = hAPP(c_Map_Omap__of(_u18285, _u18287, _u18291), _u18283)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list_Osize_I4_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18292)), hAPP(hAPP(c_List_Olist_OCons(_u18292), _u18293), _u18294)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18292)), _u18294)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel_OCons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18295, _u18295)), hAPP(hAPP(c_Product__Type_OPair(_u18295, _u18295), _u18296), _u18297)), _u18298)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18295), tc_List_Olist(_u18295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18295), tc_List_Olist(_u18295)), _u18299), _u18300)), c_List_Olistrel(_u18295, _u18298))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18295), tc_List_Olist(_u18295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18295), tc_List_Olist(_u18295)), hAPP(hAPP(c_List_Olist_OCons(_u18295), _u18296), _u18299)), hAPP(hAPP(c_List_Olist_OCons(_u18295), _u18297), _u18300))), c_List_Olistrel(_u18295, _u18298))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of_Osimps_I2_J-1, axiom, ( ( c_Map_Omap__of(_u18301, _u18302, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18301, _u18302)), _u18303), _u18304)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18301, tc_Option_Ooption(_u18302)), c_Map_Omap__of(_u18301, _u18302, _u18304)), hAPP(c_Product__Type_Ofst(_u18301, _u18302), _u18303)), hAPP(c_Option_Ooption_OSome(_u18302), hAPP(c_Product__Type_Osnd(_u18301, _u18302), _u18303)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Cons__in__lex ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Cons__in__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18313), _u18315)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18317), _u18319))), c_List_Olex(_u18311, _u18321))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18311, _u18311)), hAPP(hAPP(c_Product__Type_OPair(_u18311, _u18311), _u18313), _u18317)), _u18321)) | ( _u18313 = _u18317) )).
% 27.68/27.91 cnf(fact_Cons__in__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18313), _u18315)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18317), _u18319))), c_List_Olex(_u18311, _u18321))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18311, _u18311)), hAPP(hAPP(c_Product__Type_OPair(_u18311, _u18311), _u18313), _u18317)), _u18321)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), _u18315), _u18319)), c_List_Olex(_u18311, _u18321))) )).
% 27.68/27.91 cnf(fact_Cons__in__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18313), _u18315)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18317), _u18319))), c_List_Olex(_u18311, _u18321))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18315) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18319)) | ( _u18313 = _u18317) )).
% 27.68/27.91 cnf(fact_Cons__in__lex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18313), _u18315)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18317), _u18319))), c_List_Olex(_u18311, _u18321))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18315) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18319)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), _u18315), _u18319)), c_List_Olex(_u18311, _u18321))) )).
% 27.68/27.91 cnf(fact_Cons__in__lex-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18312), tc_List_Olist(_u18312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18312), tc_List_Olist(_u18312)), hAPP(hAPP(c_List_Olist_OCons(_u18312), _u18314), _u18316)), hAPP(hAPP(c_List_Olist_OCons(_u18312), _u18318), _u18320))), c_List_Olex(_u18312, _u18322))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18312, _u18312)), hAPP(hAPP(c_Product__Type_OPair(_u18312, _u18312), _u18314), _u18318)), _u18322)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18316) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18320)) )).
% 27.68/27.91 cnf(fact_Cons__in__lex-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18312), tc_List_Olist(_u18312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18312), tc_List_Olist(_u18312)), hAPP(hAPP(c_List_Olist_OCons(_u18312), _u18314), _u18316)), hAPP(hAPP(c_List_Olist_OCons(_u18312), _u18318), _u18320))), c_List_Olex(_u18312, _u18322))) | ( _u18314 != _u18318) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18312), tc_List_Olist(_u18312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18312), tc_List_Olist(_u18312)), _u18316), _u18320)), c_List_Olex(_u18312, _u18322))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__Cons-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u18323), tc_List_Olist(_u18323), c_List_Olistrel(_u18323, _u18324)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18323)), hAPP(hAPP(c_List_Olist_OCons(_u18323), _u18325), _u18326)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18323), tc_HOL_Obool)))) = c_List_Oset__Cons(_u18323, hAPP(c_Relation_OImage(_u18323, _u18323, _u18324), hAPP(hAPP(c_Set_Oinsert(_u18323), _u18325), c_Orderings_Obot__class_Obot(tc_fun(_u18323, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u18323), tc_List_Olist(_u18323), c_List_Olistrel(_u18323, _u18324)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18323)), _u18326), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18323), tc_HOL_Obool)))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__Cons__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__Cons__def-1, axiom, ( ( c_List_Oset__Cons(_u18327, _u18328, _u18329) = hAPP(c_Set_OCollect(tc_List_Olist(_u18327)), hAPP(hAPP(c_COMBB(tc_fun(_u18327, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u18327)), c_HOL_OEx(_u18327)), hAPP(hAPP(c_COMBB(tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), tc_fun(_u18327, tc_HOL_Obool), tc_List_Olist(_u18327)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_HOL_Obool, _u18327), c_HOL_OEx(tc_List_Olist(_u18327)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18327), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18327, tc_fun(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), tc_fun(tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), tc_List_Olist(_u18327)), c_COMBS(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u18327, tc_fun(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), tc_List_Olist(_u18327)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18327), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), _u18327), c_COMBS(tc_List_Olist(_u18327), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u18327)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u18327), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18327)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18327), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_List_Olist(_u18327))), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u18327), tc_List_Olist(_u18327)), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), tc_fun(tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_List_Olist(_u18327))), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), tc_List_Olist(_u18327)), c_COMBB(tc_fun(tc_List_Olist(_u18327), tc_List_Olist(_u18327)), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), _u18327)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18327), tc_List_Olist(_u18327)), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), tc_List_Olist(_u18327)), c_COMBB(tc_List_Olist(_u18327), tc_HOL_Obool, tc_List_Olist(_u18327))), c_fequal))), c_List_Olist_OCons(_u18327)))))), hAPP(hAPP(c_COMBC(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), _u18327), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18327))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18327), c_fconj), hAPP(hAPP(c_COMBC(_u18327, tc_fun(_u18327, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18327)), _u18328)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18327), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u18327))), _u18329))))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__Cons1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__Cons1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18332), tc_List_Olist(_u18332))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18332), tc_List_Olist(_u18332)), hAPP(hAPP(c_List_Olist_OCons(_u18332), _u18333), _u18334)), _u18335)), c_List_Olistrel(_u18332, _u18336))) | ( _u18335 = hAPP(hAPP(c_List_Olist_OCons(_u18332), skolem455(_u18336, _u18335, _u18334, _u18333, _u18332)), skolem456(_u18336, _u18335, _u18334, _u18333, _u18332))) )).
% 27.68/27.91 cnf(fact_listrel__Cons1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18332), tc_List_Olist(_u18332))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18332), tc_List_Olist(_u18332)), hAPP(hAPP(c_List_Olist_OCons(_u18332), _u18333), _u18334)), _u18335)), c_List_Olistrel(_u18332, _u18336))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18332, _u18332)), hAPP(hAPP(c_Product__Type_OPair(_u18332, _u18332), _u18333), skolem455(_u18336, _u18335, _u18334, _u18333, _u18332))), _u18336)) )).
% 27.68/27.91 cnf(fact_listrel__Cons1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18332), tc_List_Olist(_u18332))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18332), tc_List_Olist(_u18332)), hAPP(hAPP(c_List_Olist_OCons(_u18332), _u18333), _u18334)), _u18335)), c_List_Olistrel(_u18332, _u18336))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18332), tc_List_Olist(_u18332))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18332), tc_List_Olist(_u18332)), _u18334), skolem456(_u18336, _u18335, _u18334, _u18333, _u18332))), c_List_Olistrel(_u18332, _u18336))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__Cons2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__Cons2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18339), tc_List_Olist(_u18339))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18339), tc_List_Olist(_u18339)), _u18340), hAPP(hAPP(c_List_Olist_OCons(_u18339), _u18341), _u18342))), c_List_Olistrel(_u18339, _u18343))) | ( _u18340 = hAPP(hAPP(c_List_Olist_OCons(_u18339), skolem457(_u18343, _u18342, _u18341, _u18340, _u18339)), skolem458(_u18343, _u18342, _u18341, _u18340, _u18339))) )).
% 27.68/27.91 cnf(fact_listrel__Cons2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18339), tc_List_Olist(_u18339))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18339), tc_List_Olist(_u18339)), _u18340), hAPP(hAPP(c_List_Olist_OCons(_u18339), _u18341), _u18342))), c_List_Olistrel(_u18339, _u18343))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18339, _u18339)), hAPP(hAPP(c_Product__Type_OPair(_u18339, _u18339), skolem457(_u18343, _u18342, _u18341, _u18340, _u18339)), _u18341)), _u18343)) )).
% 27.68/27.91 cnf(fact_listrel__Cons2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18339), tc_List_Olist(_u18339))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18339), tc_List_Olist(_u18339)), _u18340), hAPP(hAPP(c_List_Olist_OCons(_u18339), _u18341), _u18342))), c_List_Olistrel(_u18339, _u18343))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18339), tc_List_Olist(_u18339))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18339), tc_List_Olist(_u18339)), skolem458(_u18343, _u18342, _u18341, _u18340, _u18339)), _u18342)), c_List_Olistrel(_u18339, _u18343))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__sublist ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__sublist-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18344)), c_List_Osublist(_u18344, _u18345, _u18346)) = 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(_u18344)), _u18345)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u18346))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_pick_Osimps ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_pick_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18351), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18353), _u18355))) | ( hAPP(c_Random_Opick(_u18353, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18353)), _u18355), _u18357)), _u18351) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18353), _u18355)) )).
% 27.68/27.91 cnf(fact_pick_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18352), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18354), _u18356))) | ( hAPP(c_Random_Opick(_u18354, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18354)), _u18356), _u18358)), _u18352) = hAPP(c_Random_Opick(_u18354, _u18358), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18352), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18354), _u18356)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__sublistI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__sublistI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18359), _u18360)) | hBOOL(hAPP(c_List_Odistinct(_u18359), c_List_Osublist(_u18359, _u18360, _u18361))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_in__set__sublistD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_in__set__sublistD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18362), _u18363), hAPP(c_List_Oset(_u18362), c_List_Osublist(_u18362, _u18364, _u18365)))) | hBOOL(hAPP(hAPP(c_member(_u18362), _u18363), hAPP(c_List_Oset(_u18362), _u18364))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_notin__set__sublistI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_notin__set__sublistI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18366), _u18367), hAPP(c_List_Oset(_u18366), _u18368))) | ~hBOOL(hAPP(hAPP(c_member(_u18366), _u18367), hAPP(c_List_Oset(_u18366), c_List_Osublist(_u18366, _u18368, _u18369)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__sublist__subset ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__sublist__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18370, tc_HOL_Obool)), hAPP(c_List_Oset(_u18370), c_List_Osublist(_u18370, _u18371, _u18372))), hAPP(c_List_Oset(_u18370), _u18371))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_select__weight__cons__zero ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_select__weight__cons__zero-1, axiom, ( ( c_Random_Oselect__weight(_u18373, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18373)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18373), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u18374)), _u18375)) = c_Random_Oselect__weight(_u18373, _u18375)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_pick__member ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_pick__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18376), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18377), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18377)), _u18378)))) | hBOOL(hAPP(hAPP(c_member(_u18377), hAPP(c_Random_Opick(_u18377, _u18378), _u18376)), hAPP(c_List_Oset(_u18377), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18377), _u18377), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18377)), _u18378)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__simps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__simps_I2_J-1, axiom, ( ~class_Groups_Omonoid__add(_u18379) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18379), hAPP(hAPP(c_List_Olist_OCons(_u18379), _u18380), _u18381)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18379), _u18380), hAPP(c_List_Omonoid__add__class_Olistsum(_u18379), _u18381))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__subtractf ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u18382) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18382), hAPP(hAPP(c_List_Omap(_u18383, _u18382), hAPP(hAPP(c_COMBS(_u18383, _u18382, _u18382), hAPP(hAPP(c_COMBB(_u18382, tc_fun(_u18382, _u18382), _u18383), c_Groups_Ominus__class_Ominus(_u18382)), _u18384)), _u18385)), _u18386)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u18382), hAPP(c_List_Omonoid__add__class_Olistsum(_u18382), hAPP(hAPP(c_List_Omap(_u18383, _u18382), _u18384), _u18386))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18382), hAPP(hAPP(c_List_Omap(_u18383, _u18382), _u18385), _u18386)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__const__mult ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__const__mult-1, axiom, ( ~class_Rings_Osemiring__0(_u18387) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18387), hAPP(hAPP(c_List_Omap(_u18388, _u18387), hAPP(hAPP(c_COMBB(_u18387, _u18387, _u18388), hAPP(c_Groups_Otimes__class_Otimes(_u18387), _u18389)), _u18390)), _u18391)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18387), _u18389), hAPP(c_List_Omonoid__add__class_Olistsum(_u18387), hAPP(hAPP(c_List_Omap(_u18388, _u18387), _u18390), _u18391)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__mult__const ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__mult__const-1, axiom, ( ~class_Rings_Osemiring__0(_u18392) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18392), hAPP(hAPP(c_List_Omap(_u18393, _u18392), hAPP(hAPP(c_COMBC(_u18393, _u18392, _u18392), hAPP(hAPP(c_COMBB(_u18392, tc_fun(_u18392, _u18392), _u18393), c_Groups_Otimes__class_Otimes(_u18392)), _u18394)), _u18395)), _u18396)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18392), hAPP(c_List_Omonoid__add__class_Olistsum(_u18392), hAPP(hAPP(c_List_Omap(_u18393, _u18392), _u18394), _u18396))), _u18395)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__addf ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18397) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18397), hAPP(hAPP(c_List_Omap(_u18398, _u18397), hAPP(hAPP(c_COMBS(_u18398, _u18397, _u18397), hAPP(hAPP(c_COMBB(_u18397, tc_fun(_u18397, _u18397), _u18398), c_Groups_Oplus__class_Oplus(_u18397)), _u18399)), _u18400)), _u18401)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18397), hAPP(c_List_Omonoid__add__class_Olistsum(_u18397), hAPP(hAPP(c_List_Omap(_u18398, _u18397), _u18399), _u18401))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18397), hAPP(hAPP(c_List_Omap(_u18398, _u18397), _u18400), _u18401)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__0 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__0-1, axiom, ( ~class_Groups_Omonoid__add(_u18402) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18402), hAPP(hAPP(c_List_Omap(_u18403, _u18402), hAPP(c_COMBK(_u18402, _u18403), c_Groups_Ozero__class_Ozero(_u18402))), _u18404)) = c_Groups_Ozero__class_Ozero(_u18402)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__abs ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u18405) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18405), hAPP(c_Groups_Oabs__class_Oabs(_u18405), hAPP(c_List_Omonoid__add__class_Olistsum(_u18405), _u18406))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18405), hAPP(hAPP(c_List_Omap(_u18405, _u18405), c_Groups_Oabs__class_Oabs(_u18405)), _u18406)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_uminus__listsum__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_uminus__listsum__map-1, axiom, ( ~class_Groups_Oab__group__add(_u18407) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u18407), hAPP(c_List_Omonoid__add__class_Olistsum(_u18407), hAPP(hAPP(c_List_Omap(_u18408, _u18407), _u18409), _u18410))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18407), hAPP(hAPP(c_List_Omap(_u18408, _u18407), hAPP(c_Fun_Ocomp(_u18407, _u18407, _u18408, c_Groups_Ouminus__class_Ouminus(_u18407)), _u18409)), _u18410))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__listsum__conv__Setsum ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__listsum__conv__Setsum-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18411) | ~hBOOL(hAPP(c_List_Odistinct(_u18411), _u18412)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18411), _u18412) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18411, _u18411), c_COMBI(_u18411)), hAPP(c_List_Oset(_u18411), _u18412))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_select__weight__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_select__weight__def-1, axiom, ( ( c_Random_Oselect__weight(_u18413, _u18414) = 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(_u18413, 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, _u18413), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18413)), _u18414)))), hAPP(hAPP(c_COMBB(_u18413, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u18413, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u18413, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u18413, _u18414)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__distinct__conv__setsum__set ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__distinct__conv__setsum__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18415) | ~hBOOL(hAPP(c_List_Odistinct(_u18416), _u18417)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18415), hAPP(hAPP(c_List_Omap(_u18416, _u18415), _u18418), _u18417)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18416, _u18415), _u18418), hAPP(c_List_Oset(_u18416), _u18417))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_setsum__set__upto__conv__listsum__int ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_setsum__set__upto__conv__listsum__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18419) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u18419), _u18420), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u18421, _u18422))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18419), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u18419), _u18420), c_List_Oupto(_u18421, _u18422)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_interv__listsum__conv__setsum__set__int ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_interv__listsum__conv__setsum__set__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18423) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18423), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u18423), _u18424), c_List_Oupto(_u18425, _u18426))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u18423), _u18424), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u18425, _u18426)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__triv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__triv-1, axiom, ( ~class_Rings_Osemiring__1(_u18427) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18427), hAPP(hAPP(c_List_Omap(_u18428, _u18427), hAPP(c_COMBK(_u18427, _u18428), _u18429)), _u18430)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18427), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u18427), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18428)), _u18430))), _u18429)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__map__remove1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__map__remove1-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18431) | ~hBOOL(hAPP(hAPP(c_member(_u18432), _u18433), hAPP(c_List_Oset(_u18432), _u18434))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18431), hAPP(hAPP(c_List_Omap(_u18432, _u18431), _u18435), _u18434)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18431), hAPP(_u18435, _u18433)), hAPP(c_List_Omonoid__add__class_Olistsum(_u18431), hAPP(hAPP(c_List_Omap(_u18432, _u18431), _u18435), c_List_Oremove1(_u18432, _u18433, _u18434))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_select__weight__member ( axiom ) converted to clauses:
% 27.68/27.91 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, _u18436), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18436)), _u18437)))) | hBOOL(hAPP(hAPP(c_member(_u18436), hAPP(c_Product__Type_Ofst(_u18436, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u18436, _u18437), _u18438))), hAPP(c_List_Oset(_u18436), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18436), _u18436), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18436)), _u18437)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Nitpick_Osetsum_H__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Nitpick_Osetsum_H__def-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18439) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18440), _u18441)) | ( c_Nitpick_Osetsum_H(_u18440, _u18439, _u18442, _u18441) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18439), hAPP(hAPP(c_List_Omap(_u18440, _u18439), _u18442), c_Hilbert__Choice_OEps(tc_List_Olist(_u18440), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18440), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18440)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18440), tc_fun(_u18440, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18440, tc_HOL_Obool), tc_fun(tc_fun(_u18440, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18440)), c_fequal), c_List_Oset(_u18440))), _u18441))), c_List_Odistinct(_u18440)))))) )).
% 27.68/27.91 cnf(fact_Nitpick_Osetsum_H__def-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18439) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18440), _u18441)) | ( c_Nitpick_Osetsum_H(_u18440, _u18439, _u18442, _u18441) = c_Groups_Ozero__class_Ozero(_u18439)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_upto_Opsimps ( axiom ) converted to clauses:
% 27.68/27.91 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), _u18443), _u18444))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18443), _u18444)) | ( c_List_Oupto(_u18443, _u18444) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u18443), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u18443), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u18444))) )).
% 27.68/27.91 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), _u18443), _u18444))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18443), _u18444)) | ( c_List_Oupto(_u18443, _u18444) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__Nil2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__Nil2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18445), tc_List_Olist(_u18445))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18445), tc_List_Olist(_u18445)), _u18446), c_List_Olist_ONil(_u18445))), c_List_Olistrel(_u18445, _u18447))) | ( _u18446 = c_List_Olist_ONil(_u18445)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__Nil1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__Nil1-1, 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_Olistrel(_u18448, _u18450))) | ( _u18449 = c_List_Olist_ONil(_u18448)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__eq__0__nat__iff__nat ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__eq__0__nat__iff__nat-1, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18454) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u18451), hAPP(c_List_Oset(tc_Nat_Onat), _u18454))) | ( _u18451 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.91 cnf(fact_listsum__eq__0__nat__iff__nat-2, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18455) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem459(_u18455)), hAPP(c_List_Oset(tc_Nat_Onat), _u18455))) )).
% 27.68/27.91 cnf(fact_listsum__eq__0__nat__iff__nat-3, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18455) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem459(_u18455) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__simps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__simps_I1_J-1, axiom, ( ~class_Groups_Omonoid__add(_u18456) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18456), c_List_Olist_ONil(_u18456)) = c_Groups_Ozero__class_Ozero(_u18456)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Nil__is__map__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Nil__is__map__conv-1, axiom, ( ( _u18467 = c_List_Olist_ONil(_u18463)) | ( c_List_Olist_ONil(_u18461) != hAPP(hAPP(c_List_Omap(_u18463, _u18461), _u18465), _u18467)) )).
% 27.68/27.91 cnf(fact_Nil__is__map__conv-2, axiom, ( ( _u18468 != c_List_Olist_ONil(_u18464)) | ( c_List_Olist_ONil(_u18462) = hAPP(hAPP(c_List_Omap(_u18464, _u18462), _u18466), _u18468)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18469, _u18470), _u18471), c_List_Olist_ONil(_u18469)) = c_List_Olist_ONil(_u18470)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__is__Nil__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18476, _u18478), _u18480), _u18482) != c_List_Olist_ONil(_u18478)) | ( _u18482 = c_List_Olist_ONil(_u18476)) )).
% 27.68/27.91 cnf(fact_map__is__Nil__conv-2, axiom, ( ( _u18483 != c_List_Olist_ONil(_u18477)) | ( hAPP(hAPP(c_List_Omap(_u18477, _u18479), _u18481), _u18483) = c_List_Olist_ONil(_u18479)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrelp_ONil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrelp_ONil-1, axiom, ( c_List_Olistrelp(_u18484, _u18485, c_List_Olist_ONil(_u18484), c_List_Olist_ONil(_u18484)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrelp_Oequations_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrelp_Oequations_I1_J-1, axiom, ( c_List_Olistrelp(_u18486, _u18487, c_List_Olist_ONil(_u18486), c_List_Olist_ONil(_u18486)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_insort__not__Nil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_insort__not__Nil-1, axiom, ( ~class_Orderings_Olinorder(_u18488) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18489, _u18488, _u18490), _u18491), _u18492) != c_List_Olist_ONil(_u18489)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18493), c_List_Olist_ONil(_u18493))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_remove1_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_remove1_Osimps_I1_J-1, axiom, ( ( c_List_Oremove1(_u18494, _u18495, c_List_Olist_ONil(_u18494)) = c_List_Olist_ONil(_u18494)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_foldr_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_foldr_Osimps_I1_J-1, axiom, ( ( c_List_Ofoldr(_u18496, _u18497, _u18498, c_List_Olist_ONil(_u18496), _u18499) = _u18499) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_upto__empty ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_upto__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u18500), _u18501)) | ( c_List_Oupto(_u18501, _u18500) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18502, _u18503), _u18504), c_List_Olist_ONil(_u18503)) = c_List_Olist_ONil(tc_prod(_u18502, _u18503))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__Nil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18505, _u18506), c_List_Olist_ONil(_u18505)), _u18507) = c_List_Olist_ONil(tc_prod(_u18505, _u18506))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__0__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__0__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18510)), _u18512) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18512 = c_List_Olist_ONil(_u18510)) )).
% 27.68/27.91 cnf(fact_length__0__conv-2, axiom, ( ( _u18513 != c_List_Olist_ONil(_u18511)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18511)), _u18513) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list_Osize_I3_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18514)), c_List_Olist_ONil(_u18514)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_sorted__list__of__set__empty ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_sorted__list__of__set__empty-1, axiom, ( ~class_Orderings_Olinorder(_u18515) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18515, c_Orderings_Obot__class_Obot(tc_fun(_u18515, tc_HOL_Obool))) = c_List_Olist_ONil(_u18515)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_List_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_List_Oset_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Oset(_u18516), c_List_Olist_ONil(_u18516)) = c_Orderings_Obot__class_Obot(tc_fun(_u18516, tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__empty2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u18519, tc_HOL_Obool)) != hAPP(c_List_Oset(_u18519), _u18521)) | ( _u18521 = c_List_Olist_ONil(_u18519)) )).
% 27.68/27.91 cnf(fact_set__empty2-2, axiom, ( ( _u18522 != c_List_Olist_ONil(_u18520)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u18520, tc_HOL_Obool)) = hAPP(c_List_Oset(_u18520), _u18522)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__empty ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__empty-1, axiom, ( ( hAPP(c_List_Oset(_u18525), _u18527) != c_Orderings_Obot__class_Obot(tc_fun(_u18525, tc_HOL_Obool))) | ( _u18527 = c_List_Olist_ONil(_u18525)) )).
% 27.68/27.91 cnf(fact_set__empty-2, axiom, ( ( _u18528 != c_List_Olist_ONil(_u18526)) | ( hAPP(c_List_Oset(_u18526), _u18528) = c_Orderings_Obot__class_Obot(tc_fun(_u18526, tc_HOL_Obool))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list_Osimps_I3_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list_Osimps_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18529), _u18530), _u18531) != c_List_Olist_ONil(_u18529)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list_Osimps_I2_J-1, axiom, ( ( c_List_Olist_ONil(_u18532) != hAPP(hAPP(c_List_Olist_OCons(_u18532), _u18533), _u18534)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_insort__key_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_insort__key_Osimps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18535) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18536, _u18535, _u18537), _u18538), c_List_Olist_ONil(_u18536)) = hAPP(hAPP(c_List_Olist_OCons(_u18536), _u18538), c_List_Olist_ONil(_u18536))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_sublist__empty ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_sublist__empty-1, axiom, ( ( c_List_Osublist(_u18539, _u18540, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u18539)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_sublist__nil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_sublist__nil-1, axiom, ( ( c_List_Osublist(_u18541, c_List_Olist_ONil(_u18541), _u18542) = c_List_Olist_ONil(_u18541)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__greater__0__conv ( axiom ) converted to clauses:
% 27.68/27.91 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(_u18545)), _u18547))) | ( _u18547 != c_List_Olist_ONil(_u18545)) )).
% 27.68/27.91 cnf(fact_length__greater__0__conv-2, axiom, ( ( _u18548 = c_List_Olist_ONil(_u18546)) | 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(_u18546)), _u18548))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel_ONil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18549), tc_List_Olist(_u18549))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18549), tc_List_Olist(_u18549)), c_List_Olist_ONil(_u18549)), c_List_Olist_ONil(_u18549))), c_List_Olistrel(_u18549, _u18550))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Nil__notin__lex ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Nil__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18551), tc_List_Olist(_u18551))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18551), tc_List_Olist(_u18551)), c_List_Olist_ONil(_u18551)), _u18552)), c_List_Olex(_u18551, _u18553))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Nil2__notin__lex ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Nil2__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18554), tc_List_Olist(_u18554))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18554), tc_List_Olist(_u18554)), _u18555), c_List_Olist_ONil(_u18554))), c_List_Olex(_u18554, _u18556))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_upto_Osimps ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_upto_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18559), _u18561)) | ( c_List_Oupto(_u18559, _u18561) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u18559), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u18559), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u18561))) )).
% 27.68/27.91 cnf(fact_upto_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18560), _u18562)) | ( c_List_Oupto(_u18560, _u18562) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_sublist__singleton ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_sublist__singleton-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18566)) | ( c_List_Osublist(_u18568, hAPP(hAPP(c_List_Olist_OCons(_u18568), _u18570), c_List_Olist_ONil(_u18568)), _u18566) = hAPP(hAPP(c_List_Olist_OCons(_u18568), _u18570), c_List_Olist_ONil(_u18568))) )).
% 27.68/27.91 cnf(fact_sublist__singleton-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18567)) | ( c_List_Osublist(_u18569, hAPP(hAPP(c_List_Olist_OCons(_u18569), _u18571), c_List_Olist_ONil(_u18569)), _u18567) = c_List_Olist_ONil(_u18569)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_upto__rec__number__of ( axiom ) converted to clauses:
% 27.68/27.91 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), _u18574)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18576))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18574), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18576)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18574)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18574)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18576)))) )).
% 27.68/27.91 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), _u18575)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18577))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18575), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18577)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__Nil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__Nil-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u18578), tc_List_Olist(_u18578), c_List_Olistrel(_u18578, _u18579)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18578)), c_List_Olist_ONil(_u18578)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18578), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18578)), c_List_Olist_ONil(_u18578)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18578), tc_HOL_Obool)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__Cons__sing__Nil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__Cons__sing__Nil-1, axiom, ( ( c_List_Oset__Cons(_u18580, _u18581, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18580)), c_List_Olist_ONil(_u18580)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18580), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u18580, tc_List_Olist(_u18580), hAPP(hAPP(c_COMBC(_u18580, tc_List_Olist(_u18580), tc_List_Olist(_u18580)), c_List_Olist_OCons(_u18580)), c_List_Olist_ONil(_u18580))), _u18581)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_select__weigth__select ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_select__weigth__select-1, axiom, ( ( _u18582 = c_List_Olist_ONil(_u18583)) | ( c_Random_Oselect__weight(_u18583, hAPP(hAPP(c_List_Omap(_u18583, tc_prod(tc_Code__Numeral_Ocode__numeral, _u18583)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18583), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u18582)) = c_Random_Oselect(_u18583, _u18582)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_select ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_select-1, axiom, ( ( _u18584 = c_List_Olist_ONil(_u18585)) | hBOOL(hAPP(hAPP(c_member(_u18585), hAPP(c_Product__Type_Ofst(_u18585, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u18585, _u18584), _u18586))), hAPP(c_List_Oset(_u18585), _u18584))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of_Osimps_I1_J-1, axiom, ( ( hAPP(c_Map_Omap__of(_u18587, _u18588, c_List_Olist_ONil(tc_prod(_u18587, _u18588))), _u18589) = c_Option_Ooption_ONone(_u18588)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__Cons__code_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__Cons__code_I1_J-1, axiom, ( ( hAPP(c_Map_Omap__of(_u18590, _u18591, c_List_Olist_ONil(tc_prod(_u18590, _u18591))), _u18592) = c_Option_Ooption_ONone(_u18591)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_anamorph_Osimps ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_anamorph_Osimps-1, axiom, ( ( _u18598 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Lazy__Sequence_Oanamorph(_u18600, _u18602, _u18604, _u18598), _u18606) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18602), _u18600), c_List_Olist_ONil(_u18602)), _u18606)) )).
% 27.68/27.91 cnf(fact_anamorph_Osimps-2, axiom, ( ( _u18599 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Lazy__Sequence_Oanamorph(_u18601, _u18603, _u18605, _u18599), _u18607) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u18603), _u18601), tc_prod(_u18603, _u18601), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18603), _u18601), c_List_Olist_ONil(_u18603)), _u18607), hAPP(c_Product__Type_Oprod_Oprod__case(_u18603, _u18601, tc_prod(tc_List_Olist(_u18603), _u18601)), hAPP(hAPP(c_COMBC(_u18603, tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601)), tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u18603), _u18601), tc_prod(tc_List_Olist(_u18603), _u18601)), tc_fun(tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601)), tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601))), _u18603), c_COMBB(tc_prod(tc_List_Olist(_u18603), _u18601), tc_prod(tc_List_Olist(_u18603), _u18601), _u18601)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18603), tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601))), tc_fun(tc_prod(tc_List_Olist(_u18603), _u18601), tc_prod(tc_List_Olist(_u18603), _u18601)), _u18603), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18603), _u18601, tc_prod(tc_List_Olist(_u18603), _u18601))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18603), tc_List_Olist(_u18603)), tc_fun(tc_List_Olist(_u18603), tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601))), _u18603), hAPP(c_COMBB(tc_List_Olist(_u18603), tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601)), tc_List_Olist(_u18603)), c_Product__Type_OPair(tc_List_Olist(_u18603), _u18601))), c_List_Olist_OCons(_u18603))))), c_Lazy__Sequence_Oanamorph(_u18601, _u18603, _u18605, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18599), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))), hAPP(_u18605, _u18607))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listset_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listset_Osimps_I1_J-1, axiom, ( ( c_List_Olistset(_u18608, c_List_Olist_ONil(tc_fun(_u18608, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18608)), c_List_Olist_ONil(_u18608)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18608), tc_HOL_Obool)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listset_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listset_Osimps_I2_J-1, axiom, ( ( c_List_Olistset(_u18609, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18609, tc_HOL_Obool)), _u18610), _u18611)) = c_List_Oset__Cons(_u18609, _u18610, c_List_Olistset(_u18609, _u18611))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__Cons1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__Cons1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18612, _u18613), hAPP(hAPP(c_List_Olist_OCons(_u18612), _u18614), _u18615)), _u18616) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u18612, _u18613)), _u18613, c_List_Olist_ONil(tc_prod(_u18612, _u18613)), hAPP(hAPP(c_COMBC(_u18613, tc_fun(tc_List_Olist(_u18613), tc_List_Olist(tc_prod(_u18612, _u18613))), tc_fun(tc_List_Olist(_u18613), tc_List_Olist(tc_prod(_u18612, _u18613)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u18612, _u18613)), tc_List_Olist(tc_prod(_u18612, _u18613))), tc_fun(tc_fun(tc_List_Olist(_u18613), tc_List_Olist(tc_prod(_u18612, _u18613))), tc_fun(tc_List_Olist(_u18613), tc_List_Olist(tc_prod(_u18612, _u18613)))), _u18613), c_COMBB(tc_List_Olist(tc_prod(_u18612, _u18613)), tc_List_Olist(tc_prod(_u18612, _u18613)), tc_List_Olist(_u18613))), hAPP(hAPP(c_COMBB(tc_prod(_u18612, _u18613), tc_fun(tc_List_Olist(tc_prod(_u18612, _u18613)), tc_List_Olist(tc_prod(_u18612, _u18613))), _u18613), c_List_Olist_OCons(tc_prod(_u18612, _u18613))), hAPP(c_Product__Type_OPair(_u18612, _u18613), _u18614)))), hAPP(c_List_Ozip(_u18612, _u18613), _u18615))), _u18616)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18617, _u18618), _u18619), hAPP(hAPP(c_List_Olist_OCons(_u18618), _u18620), _u18621)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u18617, _u18618)), _u18617, c_List_Olist_ONil(tc_prod(_u18617, _u18618)), hAPP(hAPP(c_COMBC(_u18617, tc_fun(tc_List_Olist(_u18617), tc_List_Olist(tc_prod(_u18617, _u18618))), tc_fun(tc_List_Olist(_u18617), tc_List_Olist(tc_prod(_u18617, _u18618)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u18617, _u18618)), tc_List_Olist(tc_prod(_u18617, _u18618))), tc_fun(tc_fun(tc_List_Olist(_u18617), tc_List_Olist(tc_prod(_u18617, _u18618))), tc_fun(tc_List_Olist(_u18617), tc_List_Olist(tc_prod(_u18617, _u18618)))), _u18617), c_COMBB(tc_List_Olist(tc_prod(_u18617, _u18618)), tc_List_Olist(tc_prod(_u18617, _u18618)), tc_List_Olist(_u18617))), hAPP(hAPP(c_COMBB(tc_prod(_u18617, _u18618), tc_fun(tc_List_Olist(tc_prod(_u18617, _u18618)), tc_List_Olist(tc_prod(_u18617, _u18618))), _u18617), c_List_Olist_OCons(tc_prod(_u18617, _u18618))), hAPP(hAPP(c_COMBC(_u18617, _u18618, tc_prod(_u18617, _u18618)), c_Product__Type_OPair(_u18617, _u18618)), _u18620)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18617), tc_List_Olist(_u18618), tc_List_Olist(tc_prod(_u18617, _u18618))), c_List_Ozip(_u18617, _u18618)), _u18621))), _u18619)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list_Osimps_I5_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list_Osimps_I5_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u18622, _u18623, _u18624, _u18625), hAPP(hAPP(c_List_Olist_OCons(_u18623), _u18626), _u18627)) = hAPP(hAPP(_u18625, _u18626), _u18627)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list_Osimps_I4_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list_Osimps_I4_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u18628, _u18629, _u18630, _u18631), c_List_Olist_ONil(_u18629)) = _u18630) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_select__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_select__def-1, axiom, ( ( c_Random_Oselect(_u18632, _u18633) = 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(_u18632, 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(_u18632)), _u18633)))), hAPP(hAPP(c_COMBB(_u18632, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u18632, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u18632, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u18632, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u18632), _u18633)), c_Code__Numeral_Onat__of)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_pick__same ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_pick__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18634), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18635)), _u18636))) | ( hAPP(c_Random_Opick(_u18635, hAPP(hAPP(c_List_Omap(_u18635, tc_prod(tc_Code__Numeral_Ocode__numeral, _u18635)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18635), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u18636)), hAPP(c_Code__Numeral_Oof__nat, _u18634)) = hAPP(hAPP(c_List_Onth(_u18635), _u18636), _u18634)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth_Osimps ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth_Osimps-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18637), hAPP(hAPP(c_List_Olist_OCons(_u18637), _u18638), _u18639)), _u18640) = c_Nat_Onat_Onat__case(_u18637, _u18638, hAPP(c_List_Onth(_u18637), _u18639), _u18640)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__Cons__0 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__Cons__0-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18641), hAPP(hAPP(c_List_Olist_OCons(_u18641), _u18642), _u18643)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u18642) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__Cons__Suc ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__Cons__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18644), hAPP(hAPP(c_List_Olist_OCons(_u18644), _u18645), _u18646)), hAPP(c_Nat_OSuc, _u18647)) = hAPP(hAPP(c_List_Onth(_u18644), _u18646), _u18647)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18648), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18649)), _u18650))) | ( hAPP(hAPP(c_List_Onth(_u18651), hAPP(hAPP(c_List_Omap(_u18649, _u18651), _u18652), _u18650)), _u18648) = hAPP(_u18652, hAPP(hAPP(c_List_Onth(_u18649), _u18650), _u18648))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_all__set__conv__all__nth ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_all__set__conv__all__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18654), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18660)), _u18662))) | hBOOL(hAPP(_u18664, hAPP(hAPP(c_List_Onth(_u18660), _u18662), _u18654))) | hBOOL(hAPP(hAPP(c_member(_u18660), skolem460(_u18664, _u18662, _u18660)), hAPP(c_List_Oset(_u18660), _u18662))) )).
% 27.68/27.91 cnf(fact_all__set__conv__all__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18654), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18660)), _u18662))) | hBOOL(hAPP(_u18664, hAPP(hAPP(c_List_Onth(_u18660), _u18662), _u18654))) | ~hBOOL(hAPP(_u18664, skolem460(_u18664, _u18662, _u18660))) )).
% 27.68/27.91 cnf(fact_all__set__conv__all__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18661), _u18656), hAPP(c_List_Oset(_u18661), _u18663))) | hBOOL(hAPP(_u18665, _u18656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem461(_u18665, _u18663, _u18661)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18661)), _u18663))) )).
% 27.68/27.91 cnf(fact_all__set__conv__all__nth-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18661), _u18656), hAPP(c_List_Oset(_u18661), _u18663))) | hBOOL(hAPP(_u18665, _u18656)) | ~hBOOL(hAPP(_u18665, hAPP(hAPP(c_List_Onth(_u18661), _u18663), skolem461(_u18665, _u18663, _u18661)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__conv__nth ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__conv__nth-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18672), _u18674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18667), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18672)), _u18674))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18666), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18672)), _u18674))) | ( _u18667 = _u18666) | ( hAPP(hAPP(c_List_Onth(_u18672), _u18674), _u18667) != hAPP(hAPP(c_List_Onth(_u18672), _u18674), _u18666)) )).
% 27.68/27.91 cnf(fact_distinct__conv__nth-2, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18673), _u18675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem462(_u18675, _u18673)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18673)), _u18675))) )).
% 27.68/27.91 cnf(fact_distinct__conv__nth-3, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18673), _u18675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18675, _u18673)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18673)), _u18675))) )).
% 27.68/27.91 cnf(fact_distinct__conv__nth-4, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18673), _u18675)) | ( skolem462(_u18675, _u18673) != skolem463(_u18675, _u18673)) )).
% 27.68/27.91 cnf(fact_distinct__conv__nth-5, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18673), _u18675)) | ( hAPP(hAPP(c_List_Onth(_u18673), _u18675), skolem462(_u18675, _u18673)) = hAPP(hAPP(c_List_Onth(_u18673), _u18675), skolem463(_u18675, _u18673))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__eq__iff__index__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__eq__iff__index__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18676), _u18677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18678), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18676)), _u18677))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18679), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18676)), _u18677))) | ( hAPP(hAPP(c_List_Onth(_u18676), _u18677), _u18678) != hAPP(hAPP(c_List_Onth(_u18676), _u18677), _u18679)) | ( _u18678 = _u18679) )).
% 27.68/27.91 cnf(fact_nth__eq__iff__index__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18676), _u18677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18678), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18676)), _u18677))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18679), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18676)), _u18677))) | ( _u18678 != _u18679) | ( hAPP(hAPP(c_List_Onth(_u18676), _u18677), _u18678) = hAPP(hAPP(c_List_Onth(_u18676), _u18677), _u18679)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__eq__iff__nth__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__eq__iff__nth__eq-1, axiom, ( ( _u18685 != _u18687) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18689)), _u18685) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18689)), _u18687)) )).
% 27.68/27.91 cnf(fact_list__eq__iff__nth__eq-2, axiom, ( ( _u18685 != _u18687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18680), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18689)), _u18685))) | ( hAPP(hAPP(c_List_Onth(_u18689), _u18685), _u18680) = hAPP(hAPP(c_List_Onth(_u18689), _u18687), _u18680)) )).
% 27.68/27.91 cnf(fact_list__eq__iff__nth__eq-3, axiom, ( ( _u18686 = _u18688) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)), _u18686) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)), _u18688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem464(_u18690, _u18688, _u18686)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)), _u18686))) )).
% 27.68/27.91 cnf(fact_list__eq__iff__nth__eq-4, axiom, ( ( _u18686 = _u18688) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)), _u18686) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)), _u18688)) | ( hAPP(hAPP(c_List_Onth(_u18690), _u18686), skolem464(_u18690, _u18688, _u18686)) != hAPP(hAPP(c_List_Onth(_u18690), _u18688), skolem464(_u18690, _u18688, _u18686))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__zip ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18691), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18692)), _u18693))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18691), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18694)), _u18695))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u18692, _u18694)), hAPP(hAPP(c_List_Ozip(_u18692, _u18694), _u18693), _u18695)), _u18691) = hAPP(hAPP(c_Product__Type_OPair(_u18692, _u18694), hAPP(hAPP(c_List_Onth(_u18692), _u18693), _u18691)), hAPP(hAPP(c_List_Onth(_u18694), _u18695), _u18691))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_elem__le__listsum__nat ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_elem__le__listsum__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18696), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u18697))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u18697), _u18696)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18697))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_in__set__conv__nth ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_in__set__conv__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18703), _u18705), hAPP(c_List_Oset(_u18703), _u18707))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18707, _u18705, _u18703)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18703)), _u18707))) )).
% 27.68/27.91 cnf(fact_in__set__conv__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18703), _u18705), hAPP(c_List_Oset(_u18703), _u18707))) | ( hAPP(hAPP(c_List_Onth(_u18703), _u18707), skolem465(_u18707, _u18705, _u18703)) = _u18705) )).
% 27.68/27.91 cnf(fact_in__set__conv__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18699), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18704)), _u18708))) | ( hAPP(hAPP(c_List_Onth(_u18704), _u18708), _u18699) != _u18706) | hBOOL(hAPP(hAPP(c_member(_u18704), _u18706), hAPP(c_List_Oset(_u18704), _u18708))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__mem ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18709), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18710)), _u18711))) | hBOOL(hAPP(hAPP(c_member(_u18710), hAPP(hAPP(c_List_Onth(_u18710), _u18711), _u18709)), hAPP(c_List_Oset(_u18710), _u18711))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__Cons_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__Cons_H-1, axiom, ( ( _u18716 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18718), hAPP(hAPP(c_List_Olist_OCons(_u18718), _u18720), _u18722)), _u18716) = _u18720) )).
% 27.68/27.91 cnf(fact_nth__Cons_H-2, axiom, ( ( _u18717 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18719), hAPP(hAPP(c_List_Olist_OCons(_u18719), _u18721), _u18723)), _u18717) = hAPP(hAPP(c_List_Onth(_u18719), _u18723), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18717), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__conv__nth ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__conv__nth-1, axiom, ( ( hAPP(c_List_Oset(_u18724), _u18725) = hAPP(c_Set_OCollect(_u18724), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u18724), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u18724, 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)), _u18724), 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)), _u18724), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u18724, tc_fun(tc_Nat_Onat, _u18724), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18724, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u18724), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u18724), c_COMBB(_u18724, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u18724), _u18725))))), 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(_u18724)), _u18725)))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__Cons__number__of ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18730) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18732), hAPP(hAPP(c_List_Olist_OCons(_u18732), _u18734), _u18736)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18730)) = _u18734) )).
% 27.68/27.91 cnf(fact_nth__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18731) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18733), hAPP(hAPP(c_List_Olist_OCons(_u18733), _u18735), _u18737)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18731)) = hAPP(hAPP(c_List_Onth(_u18733), _u18737), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18731)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__setsum__nth ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__setsum__nth-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18738) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18738), _u18739) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18738), hAPP(c_List_Onth(_u18738), _u18739)), 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(_u18738)), _u18739)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__sublist ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__sublist-1, axiom, ( ( hAPP(c_List_Oset(_u18740), c_List_Osublist(_u18740, _u18741, _u18742)) = hAPP(c_Set_OCollect(_u18740), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u18740), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u18740, 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)), _u18740), 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)), _u18740), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u18740, tc_fun(tc_Nat_Onat, _u18740), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18740, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u18740), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u18740), c_COMBB(_u18740, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u18740), _u18741))))), 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(_u18740)), _u18741)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u18742)))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__iff__nth ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__iff__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18749), tc_List_Olist(_u18749))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18749), tc_List_Olist(_u18749)), _u18751), _u18753)), c_List_Olistrel(_u18749, _u18755))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18749)), _u18751) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18749)), _u18753)) )).
% 27.68/27.91 cnf(fact_listrel__iff__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18749), tc_List_Olist(_u18749))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18749), tc_List_Olist(_u18749)), _u18751), _u18753)), c_List_Olistrel(_u18749, _u18755))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18743), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18749)), _u18751))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18749, _u18749)), hAPP(hAPP(c_Product__Type_OPair(_u18749, _u18749), hAPP(hAPP(c_List_Onth(_u18749), _u18751), _u18743)), hAPP(hAPP(c_List_Onth(_u18749), _u18753), _u18743))), _u18755)) )).
% 27.68/27.91 cnf(fact_listrel__iff__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18750), tc_List_Olist(_u18750))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18750), tc_List_Olist(_u18750)), _u18752), _u18754)), c_List_Olistrel(_u18750, _u18756))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18752) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18754)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem466(_u18756, _u18754, _u18752, _u18750)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18752))) )).
% 27.68/27.91 cnf(fact_listrel__iff__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18750), tc_List_Olist(_u18750))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18750), tc_List_Olist(_u18750)), _u18752), _u18754)), c_List_Olistrel(_u18750, _u18756))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18752) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18754)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18750, _u18750)), hAPP(hAPP(c_Product__Type_OPair(_u18750, _u18750), hAPP(hAPP(c_List_Onth(_u18750), _u18752), skolem466(_u18756, _u18754, _u18752, _u18750))), hAPP(hAPP(c_List_Onth(_u18750), _u18754), skolem466(_u18756, _u18754, _u18752, _u18750)))), _u18756)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__zip ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__zip-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u18757, _u18758)), hAPP(hAPP(c_List_Ozip(_u18757, _u18758), _u18759), _u18760)) = hAPP(c_Set_OCollect(tc_prod(_u18757, _u18758)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u18757, _u18758)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18757, _u18758), 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(_u18757, _u18758)), 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(_u18757, _u18758)), 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(_u18757, _u18758), tc_fun(tc_Nat_Onat, tc_prod(_u18757, _u18758)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18757, _u18758), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u18757, _u18758)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u18757, _u18758)), c_COMBB(tc_prod(_u18757, _u18758), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u18758, tc_prod(_u18757, _u18758)), hAPP(hAPP(c_COMBB(_u18757, tc_fun(_u18758, tc_prod(_u18757, _u18758)), tc_Nat_Onat), c_Product__Type_OPair(_u18757, _u18758)), hAPP(c_List_Onth(_u18757), _u18759))), hAPP(c_List_Onth(_u18758), _u18760)))))), 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(_u18757)), _u18759)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18758)), _u18760))))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_insort__insert__insort__key ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_insort__insert__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18761) | hBOOL(hAPP(hAPP(c_member(_u18761), hAPP(_u18762, _u18763)), hAPP(c_Set_Oimage(_u18764, _u18761, _u18762), hAPP(c_List_Oset(_u18764), _u18765)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18764, _u18761, _u18762, _u18763, _u18765) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18764, _u18761, _u18762), _u18763), _u18765)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__list__update ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__list__update-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18766), _u18767)) | hBOOL(hAPP(hAPP(c_member(_u18766), _u18768), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18766, tc_HOL_Obool)), hAPP(c_List_Oset(_u18766), _u18767)), hAPP(hAPP(c_Set_Oinsert(_u18766), hAPP(hAPP(c_List_Onth(_u18766), _u18767), _u18769)), c_Orderings_Obot__class_Obot(tc_fun(_u18766, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u18766), hAPP(hAPP(c_List_Olist__update(_u18766, _u18767), _u18769), _u18768))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update__id ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__update__id-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18770, _u18771), _u18772), hAPP(hAPP(c_List_Onth(_u18770), _u18771), _u18772)) = _u18771) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__list__update__neq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__list__update__neq-1, axiom, ( ( _u18773 = _u18774) | ( hAPP(hAPP(c_List_Onth(_u18775), hAPP(hAPP(c_List_Olist__update(_u18775, _u18776), _u18773), _u18777)), _u18774) = hAPP(hAPP(c_List_Onth(_u18775), _u18776), _u18774)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update__nonempty ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__update__nonempty-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18782, _u18784), _u18786), _u18788) != c_List_Olist_ONil(_u18782)) | ( _u18784 = c_List_Olist_ONil(_u18782)) )).
% 27.68/27.91 cnf(fact_list__update__nonempty-2, axiom, ( ( _u18785 != c_List_Olist_ONil(_u18783)) | ( hAPP(hAPP(c_List_Olist__update(_u18783, _u18785), _u18787), _u18789) = c_List_Olist_ONil(_u18783)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__update_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18790, c_List_Olist_ONil(_u18790)), _u18791), _u18792) = c_List_Olist_ONil(_u18790)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update__code_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__update__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18793, c_List_Olist_ONil(_u18793)), _u18794), _u18795) = c_List_Olist_ONil(_u18793)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__update ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__update-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18796, _u18797), hAPP(hAPP(c_List_Olist__update(_u18796, _u18798), _u18799), _u18800)), hAPP(hAPP(c_List_Olist__update(_u18797, _u18801), _u18799), _u18802)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u18796, _u18797), hAPP(hAPP(c_List_Ozip(_u18796, _u18797), _u18798), _u18801)), _u18799), hAPP(hAPP(c_Product__Type_OPair(_u18796, _u18797), _u18800), _u18802))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_update__zip ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_update__zip-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u18803, _u18804), hAPP(hAPP(c_List_Ozip(_u18803, _u18804), _u18805), _u18806)), _u18807), _u18808) = hAPP(hAPP(c_List_Ozip(_u18803, _u18804), hAPP(hAPP(c_List_Olist__update(_u18803, _u18805), _u18807), hAPP(c_Product__Type_Ofst(_u18803, _u18804), _u18808))), hAPP(hAPP(c_List_Olist__update(_u18804, _u18806), _u18807), hAPP(c_Product__Type_Osnd(_u18803, _u18804), _u18808)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__list__update ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__list__update-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18809)), hAPP(hAPP(c_List_Olist__update(_u18809, _u18810), _u18811), _u18812)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18809)), _u18810)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update__swap ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__update__swap-1, axiom, ( ( _u18813 = _u18814) | ( hAPP(hAPP(c_List_Olist__update(_u18815, hAPP(hAPP(c_List_Olist__update(_u18815, _u18816), _u18813), _u18817)), _u18814), _u18818) = hAPP(hAPP(c_List_Olist__update(_u18815, hAPP(hAPP(c_List_Olist__update(_u18815, _u18816), _u18814), _u18818)), _u18813), _u18817)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update__overwrite ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__update__overwrite-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18819, hAPP(hAPP(c_List_Olist__update(_u18819, _u18820), _u18821), _u18822)), _u18821), _u18823) = hAPP(hAPP(c_List_Olist__update(_u18819, _u18820), _u18821), _u18823)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__insort__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18824) | ~hBOOL(hAPP(c_List_Odistinct(_u18825), _u18826)) | hBOOL(hAPP(c_List_Odistinct(_u18825), c_List_Olinorder__class_Oinsort__insert__key(_u18825, _u18824, _u18827, _u18828, _u18826))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update__beyond ( axiom ) converted to clauses:
% 27.68/27.91 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(_u18829)), _u18830)), _u18831)) | ( hAPP(hAPP(c_List_Olist__update(_u18829, _u18830), _u18831), _u18832) = _u18830) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__update ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__update-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18833, _u18834), _u18835), hAPP(hAPP(c_List_Olist__update(_u18833, _u18836), _u18837), _u18838)) = hAPP(hAPP(c_List_Olist__update(_u18834, hAPP(hAPP(c_List_Omap(_u18833, _u18834), _u18835), _u18836)), _u18837), hAPP(_u18835, _u18838))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update__code_I3_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__update__code_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18839, hAPP(hAPP(c_List_Olist_OCons(_u18839), _u18840), _u18841)), hAPP(c_Nat_OSuc, _u18842)), _u18843) = hAPP(hAPP(c_List_Olist_OCons(_u18839), _u18840), hAPP(hAPP(c_List_Olist__update(_u18839, _u18841), _u18842), _u18843))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update__code_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__update__code_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18844, hAPP(hAPP(c_List_Olist_OCons(_u18844), _u18845), _u18846)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18847) = hAPP(hAPP(c_List_Olist_OCons(_u18844), _u18847), _u18846)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__update_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18848, hAPP(hAPP(c_List_Olist_OCons(_u18848), _u18849), _u18850)), _u18851), _u18852) = c_Nat_Onat_Onat__case(tc_List_Olist(_u18848), hAPP(hAPP(c_List_Olist_OCons(_u18848), _u18852), _u18850), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18848), tc_List_Olist(_u18848), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u18848), _u18849)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u18848, tc_List_Olist(_u18848)), c_List_Olist__update(_u18848, _u18850)), _u18852)), _u18851)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__update__subsetI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__update__subsetI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18853, tc_HOL_Obool)), hAPP(c_List_Oset(_u18853), _u18854)), _u18855)) | ~hBOOL(hAPP(hAPP(c_member(_u18853), _u18856), _u18855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18853, tc_HOL_Obool)), hAPP(c_List_Oset(_u18853), hAPP(hAPP(c_List_Olist__update(_u18853, _u18854), _u18857), _u18856))), _u18855)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__update__subset__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__update__subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18858, tc_HOL_Obool)), hAPP(c_List_Oset(_u18858), hAPP(hAPP(c_List_Olist__update(_u18858, _u18859), _u18860), _u18861))), hAPP(hAPP(c_Set_Oinsert(_u18858), _u18861), hAPP(c_List_Oset(_u18858), _u18859)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__list__update ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__list__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18862), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18863)), _u18864))) | ( _u18862 != _u18865) | ( hAPP(hAPP(c_List_Onth(_u18863), hAPP(hAPP(c_List_Olist__update(_u18863, _u18864), _u18862), _u18866)), _u18865) = _u18866) )).
% 27.68/27.91 cnf(fact_nth__list__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18862), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18863)), _u18864))) | ( _u18862 = _u18865) | ( hAPP(hAPP(c_List_Onth(_u18863), hAPP(hAPP(c_List_Olist__update(_u18863, _u18864), _u18862), _u18866)), _u18865) = hAPP(hAPP(c_List_Onth(_u18863), _u18864), _u18865)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update__same__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__update__same__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18867), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18868)), _u18869))) | ( hAPP(hAPP(c_List_Olist__update(_u18868, _u18869), _u18867), _u18870) != _u18869) | ( hAPP(hAPP(c_List_Onth(_u18868), _u18869), _u18867) = _u18870) )).
% 27.68/27.91 cnf(fact_list__update__same__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18867), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18868)), _u18869))) | ( hAPP(hAPP(c_List_Onth(_u18868), _u18869), _u18867) != _u18870) | ( hAPP(hAPP(c_List_Olist__update(_u18868, _u18869), _u18867), _u18870) = _u18869) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__list__update__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__list__update__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18871), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18872)), _u18873))) | ( hAPP(hAPP(c_List_Onth(_u18872), hAPP(hAPP(c_List_Olist__update(_u18872, _u18873), _u18871), _u18874)), _u18871) = _u18874) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__update__memI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__update__memI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18875), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18876)), _u18877))) | hBOOL(hAPP(hAPP(c_member(_u18876), _u18878), hAPP(c_List_Oset(_u18876), hAPP(hAPP(c_List_Olist__update(_u18876, _u18877), _u18875), _u18878)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_insort__insert__triv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_insort__insert__triv-1, axiom, ( ~class_Orderings_Olinorder(_u18879) | ~hBOOL(hAPP(hAPP(c_member(_u18879), _u18880), hAPP(c_List_Oset(_u18879), _u18881))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18879, _u18879, c_COMBI(_u18879), _u18880, _u18881) = _u18881) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__insort__insert ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18882) | ( hAPP(c_List_Oset(_u18882), c_List_Olinorder__class_Oinsort__insert__key(_u18882, _u18882, c_COMBI(_u18882), _u18883, _u18884)) = hAPP(hAPP(c_Set_Oinsert(_u18882), _u18883), hAPP(c_List_Oset(_u18882), _u18884))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__update__nat ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__update__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18885), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u18886))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u18886), _u18885), _u18887)) = 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), _u18886)), _u18887)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u18886), _u18885))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_insort__insert__key__triv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_insort__insert__key__triv-1, axiom, ( ~class_Orderings_Olinorder(_u18888) | ~hBOOL(hAPP(hAPP(c_member(_u18888), hAPP(_u18889, _u18890)), hAPP(c_Set_Oimage(_u18891, _u18888, _u18889), hAPP(c_List_Oset(_u18891), _u18892)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18891, _u18888, _u18889, _u18890, _u18892) = _u18892) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_insort__insert__insort ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_insort__insert__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18893) | hBOOL(hAPP(hAPP(c_member(_u18893), _u18894), hAPP(c_List_Oset(_u18893), _u18895))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18893, _u18893, c_COMBI(_u18893), _u18894, _u18895) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18893, _u18893, c_COMBI(_u18893)), _u18894), _u18895)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_sublist__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_sublist__Cons-1, axiom, ( ( c_List_Osublist(_u18896, hAPP(hAPP(c_List_Olist_OCons(_u18896), _u18897), _u18898), _u18899) = hAPP(hAPP(c_List_Oappend(_u18896), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u18896)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18899)), hAPP(hAPP(c_List_Olist_OCons(_u18896), _u18897), c_List_Olist_ONil(_u18896))), c_List_Olist_ONil(_u18896))), c_List_Osublist(_u18896, _u18898, 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)), _u18899))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_lexord__cons__cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_lexord__cons__cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18906), tc_List_Olist(_u18906))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18906), tc_List_Olist(_u18906)), hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18908), _u18910)), hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18912), _u18914))), c_List_Olexord(_u18906, _u18916))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18906, _u18906)), hAPP(hAPP(c_Product__Type_OPair(_u18906, _u18906), _u18908), _u18912)), _u18916)) | ( _u18908 = _u18912) )).
% 27.68/27.91 cnf(fact_lexord__cons__cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18906), tc_List_Olist(_u18906))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18906), tc_List_Olist(_u18906)), hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18908), _u18910)), hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18912), _u18914))), c_List_Olexord(_u18906, _u18916))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18906, _u18906)), hAPP(hAPP(c_Product__Type_OPair(_u18906, _u18906), _u18908), _u18912)), _u18916)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18906), tc_List_Olist(_u18906))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18906), tc_List_Olist(_u18906)), _u18910), _u18914)), c_List_Olexord(_u18906, _u18916))) )).
% 27.68/27.91 cnf(fact_lexord__cons__cons-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18907), tc_List_Olist(_u18907))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18907), tc_List_Olist(_u18907)), hAPP(hAPP(c_List_Olist_OCons(_u18907), _u18909), _u18911)), hAPP(hAPP(c_List_Olist_OCons(_u18907), _u18913), _u18915))), c_List_Olexord(_u18907, _u18917))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18907, _u18907)), hAPP(hAPP(c_Product__Type_OPair(_u18907, _u18907), _u18909), _u18913)), _u18917)) )).
% 27.68/27.91 cnf(fact_lexord__cons__cons-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18907), tc_List_Olist(_u18907))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18907), tc_List_Olist(_u18907)), hAPP(hAPP(c_List_Olist_OCons(_u18907), _u18909), _u18911)), hAPP(hAPP(c_List_Olist_OCons(_u18907), _u18913), _u18915))), c_List_Olexord(_u18907, _u18917))) | ( _u18909 != _u18913) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18907), tc_List_Olist(_u18907))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18907), tc_List_Olist(_u18907)), _u18911), _u18915)), c_List_Olexord(_u18907, _u18917))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__append__length ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__append__length-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18918), hAPP(hAPP(c_List_Oappend(_u18918), _u18919), hAPP(hAPP(c_List_Olist_OCons(_u18918), _u18920), _u18921))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18918)), _u18919)) = _u18920) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__append__length__plus ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__append__length__plus-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18922), hAPP(hAPP(c_List_Oappend(_u18922), _u18923), _u18924)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18922)), _u18923)), _u18925)) = hAPP(hAPP(c_List_Onth(_u18922), _u18924), _u18925)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18926)), _u18927) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18928)), _u18929)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18926)), _u18930) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18928)), _u18931)) | ( hAPP(hAPP(c_List_Ozip(_u18926, _u18928), hAPP(hAPP(c_List_Oappend(_u18926), _u18927), _u18930)), hAPP(hAPP(c_List_Oappend(_u18928), _u18929), _u18931)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u18926, _u18928)), hAPP(hAPP(c_List_Ozip(_u18926, _u18928), _u18927), _u18929)), hAPP(hAPP(c_List_Ozip(_u18926, _u18928), _u18930), _u18931))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update__append1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__update__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18932), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18933)), _u18934))) | ( hAPP(hAPP(c_List_Olist__update(_u18933, hAPP(hAPP(c_List_Oappend(_u18933), _u18934), _u18935)), _u18932), _u18936) = hAPP(hAPP(c_List_Oappend(_u18933), hAPP(hAPP(c_List_Olist__update(_u18933, _u18934), _u18932), _u18936)), _u18935)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18937)), hAPP(hAPP(c_List_Oappend(_u18937), _u18938), _u18939)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18937)), _u18938)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18937)), _u18939))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update__length ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__update__length-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18940, hAPP(hAPP(c_List_Oappend(_u18940), _u18941), hAPP(hAPP(c_List_Olist_OCons(_u18940), _u18942), _u18943))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18940)), _u18941)), _u18944) = hAPP(hAPP(c_List_Oappend(_u18940), _u18941), hAPP(hAPP(c_List_Olist_OCons(_u18940), _u18944), _u18943))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append1__eq__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append1__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18950), _u18952), hAPP(hAPP(c_List_Olist_OCons(_u18950), _u18954), c_List_Olist_ONil(_u18950))) != hAPP(hAPP(c_List_Oappend(_u18950), _u18956), hAPP(hAPP(c_List_Olist_OCons(_u18950), _u18958), c_List_Olist_ONil(_u18950)))) | ( _u18952 = _u18956) )).
% 27.68/27.91 cnf(fact_append1__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18950), _u18952), hAPP(hAPP(c_List_Olist_OCons(_u18950), _u18954), c_List_Olist_ONil(_u18950))) != hAPP(hAPP(c_List_Oappend(_u18950), _u18956), hAPP(hAPP(c_List_Olist_OCons(_u18950), _u18958), c_List_Olist_ONil(_u18950)))) | ( _u18954 = _u18958) )).
% 27.68/27.91 cnf(fact_append1__eq__conv-3, axiom, ( ( _u18953 != _u18957) | ( _u18955 != _u18959) | ( hAPP(hAPP(c_List_Oappend(_u18951), _u18953), hAPP(hAPP(c_List_Olist_OCons(_u18951), _u18955), c_List_Olist_ONil(_u18951))) = hAPP(hAPP(c_List_Oappend(_u18951), _u18957), hAPP(hAPP(c_List_Olist_OCons(_u18951), _u18959), c_List_Olist_ONil(_u18951)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Cons__eq__append__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Cons__eq__append__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), _u18971) != hAPP(hAPP(c_List_Oappend(_u18967), _u18973), _u18975)) | ( _u18973 = c_List_Olist_ONil(_u18967)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), skolem467(_u18975, _u18973, _u18971, _u18969, _u18967)) = _u18973) )).
% 27.68/27.91 cnf(fact_Cons__eq__append__conv-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), _u18971) != hAPP(hAPP(c_List_Oappend(_u18967), _u18973), _u18975)) | ( _u18973 = c_List_Olist_ONil(_u18967)) | ( _u18971 = hAPP(hAPP(c_List_Oappend(_u18967), skolem467(_u18975, _u18973, _u18971, _u18969, _u18967)), _u18975)) )).
% 27.68/27.91 cnf(fact_Cons__eq__append__conv-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), _u18971) != hAPP(hAPP(c_List_Oappend(_u18967), _u18973), _u18975)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), _u18971) = _u18975) | ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), skolem467(_u18975, _u18973, _u18971, _u18969, _u18967)) = _u18973) )).
% 27.68/27.91 cnf(fact_Cons__eq__append__conv-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), _u18971) != hAPP(hAPP(c_List_Oappend(_u18967), _u18973), _u18975)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), _u18971) = _u18975) | ( _u18971 = hAPP(hAPP(c_List_Oappend(_u18967), skolem467(_u18975, _u18973, _u18971, _u18969, _u18967)), _u18975)) )).
% 27.68/27.91 cnf(fact_Cons__eq__append__conv-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18968), _u18970), _u18972) = hAPP(hAPP(c_List_Oappend(_u18968), _u18974), _u18976)) | ( _u18974 != c_List_Olist_ONil(_u18968)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18968), _u18970), _u18972) != _u18976) )).
% 27.68/27.91 cnf(fact_Cons__eq__append__conv-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18968), _u18970), _u18972) = hAPP(hAPP(c_List_Oappend(_u18968), _u18974), _u18976)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18968), _u18970), _u18961) != _u18974) | ( _u18972 != hAPP(hAPP(c_List_Oappend(_u18968), _u18961), _u18976)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__eq__Cons__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__eq__Cons__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18984), _u18986), _u18988) != hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), _u18992)) | ( _u18986 = c_List_Olist_ONil(_u18984)) | ( _u18986 = hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), skolem468(_u18992, _u18990, _u18988, _u18986, _u18984))) )).
% 27.68/27.91 cnf(fact_append__eq__Cons__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18984), _u18986), _u18988) != hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), _u18992)) | ( _u18986 = c_List_Olist_ONil(_u18984)) | ( hAPP(hAPP(c_List_Oappend(_u18984), skolem468(_u18992, _u18990, _u18988, _u18986, _u18984)), _u18988) = _u18992) )).
% 27.68/27.91 cnf(fact_append__eq__Cons__conv-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18984), _u18986), _u18988) != hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), _u18992)) | ( _u18988 = hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), _u18992)) | ( _u18986 = hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), skolem468(_u18992, _u18990, _u18988, _u18986, _u18984))) )).
% 27.68/27.91 cnf(fact_append__eq__Cons__conv-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18984), _u18986), _u18988) != hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), _u18992)) | ( _u18988 = hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), _u18992)) | ( hAPP(hAPP(c_List_Oappend(_u18984), skolem468(_u18992, _u18990, _u18988, _u18986, _u18984)), _u18988) = _u18992) )).
% 27.68/27.91 cnf(fact_append__eq__Cons__conv-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18985), _u18987), _u18989) = hAPP(hAPP(c_List_Olist_OCons(_u18985), _u18991), _u18993)) | ( _u18987 != c_List_Olist_ONil(_u18985)) | ( _u18989 != hAPP(hAPP(c_List_Olist_OCons(_u18985), _u18991), _u18993)) )).
% 27.68/27.91 cnf(fact_append__eq__Cons__conv-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18985), _u18987), _u18989) = hAPP(hAPP(c_List_Olist_OCons(_u18985), _u18991), _u18993)) | ( _u18987 != hAPP(hAPP(c_List_Olist_OCons(_u18985), _u18991), _u18978)) | ( hAPP(hAPP(c_List_Oappend(_u18985), _u18978), _u18989) != _u18993) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_lexord__append__left__rightI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_lexord__append__left__rightI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18994, _u18994)), hAPP(hAPP(c_Product__Type_OPair(_u18994, _u18994), _u18995), _u18996)), _u18997)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18994), tc_List_Olist(_u18994))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18994), tc_List_Olist(_u18994)), hAPP(hAPP(c_List_Oappend(_u18994), _u18998), hAPP(hAPP(c_List_Olist_OCons(_u18994), _u18995), _u18999))), hAPP(hAPP(c_List_Oappend(_u18994), _u18998), hAPP(hAPP(c_List_Olist_OCons(_u18994), _u18996), _u19000)))), c_List_Olexord(_u18994, _u18997))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Cons__eq__appendI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Cons__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19001), _u19002), _u19003) != _u19004) | ( _u19005 != hAPP(hAPP(c_List_Oappend(_u19001), _u19003), _u19006)) | ( hAPP(hAPP(c_List_Olist_OCons(_u19001), _u19002), _u19005) = hAPP(hAPP(c_List_Oappend(_u19001), _u19004), _u19006)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19007), hAPP(hAPP(c_List_Olist_OCons(_u19007), _u19008), _u19009)), _u19010) = hAPP(hAPP(c_List_Olist_OCons(_u19007), _u19008), hAPP(hAPP(c_List_Oappend(_u19007), _u19009), _u19010))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__append-1, axiom, ( ~class_Groups_Omonoid__add(_u19011) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u19011), hAPP(hAPP(c_List_Oappend(_u19011), _u19012), _u19013)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19011), hAPP(c_List_Omonoid__add__class_Olistsum(_u19011), _u19012)), hAPP(c_List_Omonoid__add__class_Olistsum(_u19011), _u19013))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__append-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19014, _u19015), _u19016), hAPP(hAPP(c_List_Oappend(_u19014), _u19017), _u19018)) = hAPP(hAPP(c_List_Oappend(_u19015), hAPP(hAPP(c_List_Omap(_u19014, _u19015), _u19016), _u19017)), hAPP(hAPP(c_List_Omap(_u19014, _u19015), _u19016), _u19018))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__append-1, axiom, ( ( hAPP(c_List_Oset(_u19019), hAPP(hAPP(c_List_Oappend(_u19019), _u19020), _u19021)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19019, tc_HOL_Obool)), hAPP(c_List_Oset(_u19019), _u19020)), hAPP(c_List_Oset(_u19019), _u19021))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_remove1__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_remove1__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19026), _u19028), hAPP(c_List_Oset(_u19026), _u19030))) | ( c_List_Oremove1(_u19026, _u19028, hAPP(hAPP(c_List_Oappend(_u19026), _u19030), _u19032)) = hAPP(hAPP(c_List_Oappend(_u19026), c_List_Oremove1(_u19026, _u19028, _u19030)), _u19032)) )).
% 27.68/27.91 cnf(fact_remove1__append-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19027), _u19029), hAPP(c_List_Oset(_u19027), _u19031))) | ( c_List_Oremove1(_u19027, _u19029, hAPP(hAPP(c_List_Oappend(_u19027), _u19031), _u19033)) = hAPP(hAPP(c_List_Oappend(_u19027), _u19031), c_List_Oremove1(_u19027, _u19029, _u19033))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__assoc ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__assoc-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19034), hAPP(hAPP(c_List_Oappend(_u19034), _u19035), _u19036)), _u19037) = hAPP(hAPP(c_List_Oappend(_u19034), _u19035), hAPP(hAPP(c_List_Oappend(_u19034), _u19036), _u19037))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__eq__append__conv2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__eq__append__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19049), _u19051), _u19053) != hAPP(hAPP(c_List_Oappend(_u19049), _u19055), _u19057)) | ( _u19051 = hAPP(hAPP(c_List_Oappend(_u19049), _u19055), skolem469(_u19057, _u19055, _u19053, _u19051, _u19049))) | ( hAPP(hAPP(c_List_Oappend(_u19049), _u19051), skolem470(_u19057, _u19055, _u19053, _u19051, _u19049)) = _u19055) )).
% 27.68/27.91 cnf(fact_append__eq__append__conv2-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19049), _u19051), _u19053) != hAPP(hAPP(c_List_Oappend(_u19049), _u19055), _u19057)) | ( _u19051 = hAPP(hAPP(c_List_Oappend(_u19049), _u19055), skolem469(_u19057, _u19055, _u19053, _u19051, _u19049))) | ( _u19053 = hAPP(hAPP(c_List_Oappend(_u19049), skolem470(_u19057, _u19055, _u19053, _u19051, _u19049)), _u19057)) )).
% 27.68/27.91 cnf(fact_append__eq__append__conv2-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19049), _u19051), _u19053) != hAPP(hAPP(c_List_Oappend(_u19049), _u19055), _u19057)) | ( hAPP(hAPP(c_List_Oappend(_u19049), skolem469(_u19057, _u19055, _u19053, _u19051, _u19049)), _u19053) = _u19057) | ( hAPP(hAPP(c_List_Oappend(_u19049), _u19051), skolem470(_u19057, _u19055, _u19053, _u19051, _u19049)) = _u19055) )).
% 27.68/27.91 cnf(fact_append__eq__append__conv2-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19049), _u19051), _u19053) != hAPP(hAPP(c_List_Oappend(_u19049), _u19055), _u19057)) | ( hAPP(hAPP(c_List_Oappend(_u19049), skolem469(_u19057, _u19055, _u19053, _u19051, _u19049)), _u19053) = _u19057) | ( _u19053 = hAPP(hAPP(c_List_Oappend(_u19049), skolem470(_u19057, _u19055, _u19053, _u19051, _u19049)), _u19057)) )).
% 27.68/27.91 cnf(fact_append__eq__append__conv2-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19050), _u19052), _u19054) = hAPP(hAPP(c_List_Oappend(_u19050), _u19056), _u19058)) | ( _u19052 != hAPP(hAPP(c_List_Oappend(_u19050), _u19056), _u19047)) | ( hAPP(hAPP(c_List_Oappend(_u19050), _u19047), _u19054) != _u19058) )).
% 27.68/27.91 cnf(fact_append__eq__append__conv2-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19050), _u19052), _u19054) = hAPP(hAPP(c_List_Oappend(_u19050), _u19056), _u19058)) | ( hAPP(hAPP(c_List_Oappend(_u19050), _u19052), _u19048) != _u19056) | ( _u19054 != hAPP(hAPP(c_List_Oappend(_u19050), _u19048), _u19058)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_same__append__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_same__append__eq-1, axiom, ( ( _u19067 = _u19069) | ( hAPP(hAPP(c_List_Oappend(_u19063), _u19065), _u19067) != hAPP(hAPP(c_List_Oappend(_u19063), _u19065), _u19069)) )).
% 27.68/27.91 cnf(fact_same__append__eq-2, axiom, ( ( _u19068 != _u19070) | ( hAPP(hAPP(c_List_Oappend(_u19064), _u19066), _u19068) = hAPP(hAPP(c_List_Oappend(_u19064), _u19066), _u19070)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__same__eq ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__same__eq-1, axiom, ( ( _u19077 = _u19081) | ( hAPP(hAPP(c_List_Oappend(_u19075), _u19077), _u19079) != hAPP(hAPP(c_List_Oappend(_u19075), _u19081), _u19079)) )).
% 27.68/27.91 cnf(fact_append__same__eq-2, axiom, ( ( _u19078 != _u19082) | ( hAPP(hAPP(c_List_Oappend(_u19076), _u19078), _u19080) = hAPP(hAPP(c_List_Oappend(_u19076), _u19082), _u19080)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__eq__appendI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19083), _u19084), _u19085) != _u19086) | ( _u19087 != hAPP(hAPP(c_List_Oappend(_u19083), _u19085), _u19088)) | ( hAPP(hAPP(c_List_Oappend(_u19083), _u19084), _u19087) = hAPP(hAPP(c_List_Oappend(_u19083), _u19086), _u19088)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__of__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__of__append-1, axiom, ( ( c_Map_Omap__of(_u19089, _u19090, hAPP(hAPP(c_List_Oappend(tc_prod(_u19089, _u19090)), _u19091), _u19092)) = c_Map_Omap__add(_u19089, _u19090, c_Map_Omap__of(_u19089, _u19090, _u19092), c_Map_Omap__of(_u19089, _u19090, _u19091))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_foldr__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_foldr__append-1, axiom, ( ( c_List_Ofoldr(_u19093, _u19094, _u19095, hAPP(hAPP(c_List_Oappend(_u19093), _u19096), _u19097), _u19098) = c_List_Ofoldr(_u19093, _u19094, _u19095, _u19096, c_List_Ofoldr(_u19093, _u19094, _u19095, _u19097, _u19098))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_lexord__append__leftI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_lexord__append__leftI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19099), tc_List_Olist(_u19099))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19099), tc_List_Olist(_u19099)), _u19100), _u19101)), c_List_Olexord(_u19099, _u19102))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19099), tc_List_Olist(_u19099))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19099), tc_List_Olist(_u19099)), hAPP(hAPP(c_List_Oappend(_u19099), _u19103), _u19100)), hAPP(hAPP(c_List_Oappend(_u19099), _u19103), _u19101))), c_List_Olexord(_u19099, _u19102))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_eq__Nil__appendI ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_eq__Nil__appendI-1, axiom, ( ( _u19104 != _u19105) | ( _u19104 = hAPP(hAPP(c_List_Oappend(_u19106), c_List_Olist_ONil(_u19106)), _u19105)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__self__conv2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__self__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19110), _u19112), _u19114) != _u19114) | ( _u19112 = c_List_Olist_ONil(_u19110)) )).
% 27.68/27.91 cnf(fact_append__self__conv2-2, axiom, ( ( _u19113 != c_List_Olist_ONil(_u19111)) | ( hAPP(hAPP(c_List_Oappend(_u19111), _u19113), _u19115) = _u19115) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__self__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__self__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19119), _u19121), _u19123) != _u19121) | ( _u19123 = c_List_Olist_ONil(_u19119)) )).
% 27.68/27.91 cnf(fact_append__self__conv-2, axiom, ( ( _u19124 != c_List_Olist_ONil(_u19120)) | ( hAPP(hAPP(c_List_Oappend(_u19120), _u19122), _u19124) = _u19122) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__is__Nil__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19128), _u19130), _u19132) != c_List_Olist_ONil(_u19128)) | ( _u19130 = c_List_Olist_ONil(_u19128)) )).
% 27.68/27.91 cnf(fact_append__is__Nil__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19128), _u19130), _u19132) != c_List_Olist_ONil(_u19128)) | ( _u19132 = c_List_Olist_ONil(_u19128)) )).
% 27.68/27.91 cnf(fact_append__is__Nil__conv-3, axiom, ( ( _u19131 != c_List_Olist_ONil(_u19129)) | ( _u19133 != c_List_Olist_ONil(_u19129)) | ( hAPP(hAPP(c_List_Oappend(_u19129), _u19131), _u19133) = c_List_Olist_ONil(_u19129)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_self__append__conv2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_self__append__conv2-1, axiom, ( ( _u19141 = c_List_Olist_ONil(_u19139)) | ( _u19137 != hAPP(hAPP(c_List_Oappend(_u19139), _u19141), _u19137)) )).
% 27.68/27.91 cnf(fact_self__append__conv2-2, axiom, ( ( _u19142 != c_List_Olist_ONil(_u19140)) | ( _u19138 = hAPP(hAPP(c_List_Oappend(_u19140), _u19142), _u19138)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_self__append__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_self__append__conv-1, axiom, ( ( _u19150 = c_List_Olist_ONil(_u19148)) | ( _u19146 != hAPP(hAPP(c_List_Oappend(_u19148), _u19146), _u19150)) )).
% 27.68/27.91 cnf(fact_self__append__conv-2, axiom, ( ( _u19151 != c_List_Olist_ONil(_u19149)) | ( _u19147 = hAPP(hAPP(c_List_Oappend(_u19149), _u19147), _u19151)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__Nil2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__Nil2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19152), _u19153), c_List_Olist_ONil(_u19152)) = _u19153) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Nil__is__append__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Nil__is__append__conv-1, axiom, ( ( c_List_Olist_ONil(_u19157) != hAPP(hAPP(c_List_Oappend(_u19157), _u19159), _u19161)) | ( _u19159 = c_List_Olist_ONil(_u19157)) )).
% 27.68/27.91 cnf(fact_Nil__is__append__conv-2, axiom, ( ( c_List_Olist_ONil(_u19157) != hAPP(hAPP(c_List_Oappend(_u19157), _u19159), _u19161)) | ( _u19161 = c_List_Olist_ONil(_u19157)) )).
% 27.68/27.91 cnf(fact_Nil__is__append__conv-3, axiom, ( ( _u19160 != c_List_Olist_ONil(_u19158)) | ( _u19162 != c_List_Olist_ONil(_u19158)) | ( c_List_Olist_ONil(_u19158) = hAPP(hAPP(c_List_Oappend(_u19158), _u19160), _u19162)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__Nil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19163), c_List_Olist_ONil(_u19163)), _u19164) = _u19164) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__append-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19168), hAPP(hAPP(c_List_Oappend(_u19168), _u19170), _u19172))) | hBOOL(hAPP(c_List_Odistinct(_u19168), _u19170)) )).
% 27.68/27.91 cnf(fact_distinct__append-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19168), hAPP(hAPP(c_List_Oappend(_u19168), _u19170), _u19172))) | hBOOL(hAPP(c_List_Odistinct(_u19168), _u19172)) )).
% 27.68/27.91 cnf(fact_distinct__append-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19168), hAPP(hAPP(c_List_Oappend(_u19168), _u19170), _u19172))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19168, tc_HOL_Obool)), hAPP(c_List_Oset(_u19168), _u19170)), hAPP(c_List_Oset(_u19168), _u19172)) = c_Orderings_Obot__class_Obot(tc_fun(_u19168, tc_HOL_Obool))) )).
% 27.68/27.91 cnf(fact_distinct__append-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19169), _u19171)) | ~hBOOL(hAPP(c_List_Odistinct(_u19169), _u19173)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19169, tc_HOL_Obool)), hAPP(c_List_Oset(_u19169), _u19171)), hAPP(c_List_Oset(_u19169), _u19173)) != c_Orderings_Obot__class_Obot(tc_fun(_u19169, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u19169), hAPP(hAPP(c_List_Oappend(_u19169), _u19171), _u19173))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19178), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19180)), _u19182))) | ( hAPP(hAPP(c_List_Onth(_u19180), hAPP(hAPP(c_List_Oappend(_u19180), _u19182), _u19184)), _u19178) = hAPP(hAPP(c_List_Onth(_u19180), _u19182), _u19178)) )).
% 27.68/27.91 cnf(fact_nth__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19179), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19181)), _u19183))) | ( hAPP(hAPP(c_List_Onth(_u19181), hAPP(hAPP(c_List_Oappend(_u19181), _u19183), _u19185)), _u19179) = hAPP(hAPP(c_List_Onth(_u19181), _u19185), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19179), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19181)), _u19183)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__update__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__update__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19191), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19193)), _u19195))) | ( hAPP(hAPP(c_List_Olist__update(_u19193, hAPP(hAPP(c_List_Oappend(_u19193), _u19195), _u19197)), _u19191), _u19199) = hAPP(hAPP(c_List_Oappend(_u19193), hAPP(hAPP(c_List_Olist__update(_u19193, _u19195), _u19191), _u19199)), _u19197)) )).
% 27.68/27.91 cnf(fact_list__update__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19192), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19196))) | ( hAPP(hAPP(c_List_Olist__update(_u19194, hAPP(hAPP(c_List_Oappend(_u19194), _u19196), _u19198)), _u19192), _u19200) = hAPP(hAPP(c_List_Oappend(_u19194), _u19196), hAPP(hAPP(c_List_Olist__update(_u19194, _u19198), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19192), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19196))), _u19200))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_lexord__Nil__right ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_lexord__Nil__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19201), tc_List_Olist(_u19201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19201), tc_List_Olist(_u19201)), _u19202), c_List_Olist_ONil(_u19201))), c_List_Olexord(_u19201, _u19203))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_sublist__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_sublist__append-1, axiom, ( ( c_List_Osublist(_u19204, hAPP(hAPP(c_List_Oappend(_u19204), _u19205), _u19206), _u19207) = hAPP(hAPP(c_List_Oappend(_u19204), c_List_Osublist(_u19204, _u19205, _u19207)), c_List_Osublist(_u19204, _u19206, 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(_u19204)), _u19205)))), _u19207))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_lexord__lex ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_lexord__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19212), tc_List_Olist(_u19212))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19212), tc_List_Olist(_u19212)), _u19214), _u19216)), c_List_Olex(_u19212, _u19218))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19212), tc_List_Olist(_u19212))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19212), tc_List_Olist(_u19212)), _u19214), _u19216)), c_List_Olexord(_u19212, _u19218))) )).
% 27.68/27.91 cnf(fact_lexord__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19212), tc_List_Olist(_u19212))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19212), tc_List_Olist(_u19212)), _u19214), _u19216)), c_List_Olex(_u19212, _u19218))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19212)), _u19214) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19212)), _u19216)) )).
% 27.68/27.91 cnf(fact_lexord__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19213), tc_List_Olist(_u19213))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19213), tc_List_Olist(_u19213)), _u19215), _u19217)), c_List_Olexord(_u19213, _u19219))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19213)), _u19215) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19213)), _u19217)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19213), tc_List_Olist(_u19213))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19213), tc_List_Olist(_u19213)), _u19215), _u19217)), c_List_Olex(_u19213, _u19219))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__upds__append1 ( axiom ) converted to clauses:
% 27.68/27.91 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(_u19220)), _u19221)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19222)), _u19223))) | ( c_Map_Omap__upds(_u19220, _u19222, _u19224, hAPP(hAPP(c_List_Oappend(_u19220), _u19221), hAPP(hAPP(c_List_Olist_OCons(_u19220), _u19225), c_List_Olist_ONil(_u19220))), _u19223) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19220, tc_Option_Ooption(_u19222)), c_Map_Omap__upds(_u19220, _u19222, _u19224, _u19221, _u19223)), _u19225), hAPP(c_Option_Ooption_OSome(_u19222), hAPP(hAPP(c_List_Onth(_u19222), _u19223), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19220)), _u19221))))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_lexord__take__index__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_lexord__take__index__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19232), tc_List_Olist(_u19232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19232), tc_List_Olist(_u19232)), _u19234), _u19236)), c_List_Olexord(_u19232, _u19238))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19236))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem471(_u19238, _u19236, _u19234, _u19232)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19236)))) )).
% 27.68/27.91 cnf(fact_lexord__take__index__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19232), tc_List_Olist(_u19232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19232), tc_List_Olist(_u19232)), _u19234), _u19236)), c_List_Olexord(_u19232, _u19238))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19236))) | ( hAPP(hAPP(c_List_Otake(_u19232), skolem471(_u19238, _u19236, _u19234, _u19232)), _u19234) = hAPP(hAPP(c_List_Otake(_u19232), skolem471(_u19238, _u19236, _u19234, _u19232)), _u19236)) )).
% 27.68/27.91 cnf(fact_lexord__take__index__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19232), tc_List_Olist(_u19232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19232), tc_List_Olist(_u19232)), _u19234), _u19236)), c_List_Olexord(_u19232, _u19238))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19236))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19232, _u19232)), hAPP(hAPP(c_Product__Type_OPair(_u19232, _u19232), hAPP(hAPP(c_List_Onth(_u19232), _u19234), skolem471(_u19238, _u19236, _u19234, _u19232))), hAPP(hAPP(c_List_Onth(_u19232), _u19236), skolem471(_u19238, _u19236, _u19234, _u19232)))), _u19238)) )).
% 27.68/27.91 cnf(fact_lexord__take__index__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19232), tc_List_Olist(_u19232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19232), tc_List_Olist(_u19232)), _u19234), _u19236)), c_List_Olexord(_u19232, _u19238))) | ( hAPP(hAPP(c_List_Otake(_u19232), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), _u19236) = _u19234) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem471(_u19238, _u19236, _u19234, _u19232)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19236)))) )).
% 27.68/27.91 cnf(fact_lexord__take__index__conv-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19232), tc_List_Olist(_u19232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19232), tc_List_Olist(_u19232)), _u19234), _u19236)), c_List_Olexord(_u19232, _u19238))) | ( hAPP(hAPP(c_List_Otake(_u19232), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), _u19236) = _u19234) | ( hAPP(hAPP(c_List_Otake(_u19232), skolem471(_u19238, _u19236, _u19234, _u19232)), _u19234) = hAPP(hAPP(c_List_Otake(_u19232), skolem471(_u19238, _u19236, _u19234, _u19232)), _u19236)) )).
% 27.68/27.91 cnf(fact_lexord__take__index__conv-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19232), tc_List_Olist(_u19232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19232), tc_List_Olist(_u19232)), _u19234), _u19236)), c_List_Olexord(_u19232, _u19238))) | ( hAPP(hAPP(c_List_Otake(_u19232), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), _u19236) = _u19234) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19232, _u19232)), hAPP(hAPP(c_Product__Type_OPair(_u19232, _u19232), hAPP(hAPP(c_List_Onth(_u19232), _u19234), skolem471(_u19238, _u19236, _u19234, _u19232))), hAPP(hAPP(c_List_Onth(_u19232), _u19236), skolem471(_u19238, _u19236, _u19234, _u19232)))), _u19238)) )).
% 27.68/27.91 cnf(fact_lexord__take__index__conv-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19233), tc_List_Olist(_u19233))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19233), tc_List_Olist(_u19233)), _u19235), _u19237)), c_List_Olexord(_u19233, _u19239))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19233)), _u19235)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19233)), _u19237))) | ( hAPP(hAPP(c_List_Otake(_u19233), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19233)), _u19235)), _u19237) != _u19235) )).
% 27.68/27.91 cnf(fact_lexord__take__index__conv-8, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19233), tc_List_Olist(_u19233))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19233), tc_List_Olist(_u19233)), _u19235), _u19237)), c_List_Olexord(_u19233, _u19239))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19227), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19233)), _u19235)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19233)), _u19237)))) | ( hAPP(hAPP(c_List_Otake(_u19233), _u19227), _u19235) != hAPP(hAPP(c_List_Otake(_u19233), _u19227), _u19237)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19233, _u19233)), hAPP(hAPP(c_Product__Type_OPair(_u19233, _u19233), hAPP(hAPP(c_List_Onth(_u19233), _u19235), _u19227)), hAPP(hAPP(c_List_Onth(_u19233), _u19237), _u19227))), _u19239)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__append-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19240), _u19241), hAPP(hAPP(c_List_Oappend(_u19240), _u19242), _u19243)) = hAPP(hAPP(c_List_Oappend(_u19240), hAPP(hAPP(c_List_Otake(_u19240), _u19241), _u19242)), hAPP(hAPP(c_List_Otake(_u19240), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19241), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19240)), _u19242))), _u19243))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__upds__append2__drop ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__upds__append2__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19244)), _u19245) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19246)), _u19247)) | ( c_Map_Omap__upds(_u19244, _u19246, _u19248, _u19245, hAPP(hAPP(c_List_Oappend(_u19246), _u19247), _u19249)) = c_Map_Omap__upds(_u19244, _u19246, _u19248, _u19245, _u19247)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fun__upds__append__drop ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fun__upds__append__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19250)), _u19251) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19252)), _u19253)) | ( c_Map_Omap__upds(_u19250, _u19252, _u19254, hAPP(hAPP(c_List_Oappend(_u19250), _u19251), _u19255), _u19253) = c_Map_Omap__upds(_u19250, _u19252, _u19254, _u19251, _u19253)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__upds__Nil1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__upds__Nil1-1, axiom, ( ( c_Map_Omap__upds(_u19256, _u19257, _u19258, c_List_Olist_ONil(_u19256), _u19259) = _u19258) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__upds__Nil2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__upds__Nil2-1, axiom, ( ( c_Map_Omap__upds(_u19260, _u19261, _u19262, _u19263, c_List_Olist_ONil(_u19261)) = _u19262) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__Nil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19264), _u19265), c_List_Olist_ONil(_u19264)) = c_List_Olist_ONil(_u19264)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__eq__Nil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19269), _u19271), _u19273) != c_List_Olist_ONil(_u19269)) | ( _u19271 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19273 = c_List_Olist_ONil(_u19269)) )).
% 27.68/27.91 cnf(fact_take__eq__Nil-2, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19270), _u19272), _u19274) = c_List_Olist_ONil(_u19270)) | ( _u19272 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.91 cnf(fact_take__eq__Nil-3, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19270), _u19272), _u19274) = c_List_Olist_ONil(_u19270)) | ( _u19274 != c_List_Olist_ONil(_u19270)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__0 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__0-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19275), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u19276) = c_List_Olist_ONil(_u19275)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_sublist__upt__eq__take ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_sublist__upt__eq__take-1, axiom, ( ( c_List_Osublist(_u19277, _u19278, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u19279)) = hAPP(hAPP(c_List_Otake(_u19277), _u19279), _u19278)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__zip ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__zip-1, axiom, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u19280, _u19281)), _u19282), hAPP(hAPP(c_List_Ozip(_u19280, _u19281), _u19283), _u19284)) = hAPP(hAPP(c_List_Ozip(_u19280, _u19281), hAPP(hAPP(c_List_Otake(_u19280), _u19282), _u19283)), hAPP(hAPP(c_List_Otake(_u19281), _u19282), _u19284))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__take ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__take-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19285), _u19286), hAPP(hAPP(c_List_Otake(_u19285), _u19287), _u19288)) = hAPP(hAPP(c_List_Otake(_u19285), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19286), _u19287)), _u19288)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__add__upds ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__add__upds-1, axiom, ( ( c_Map_Omap__add(_u19289, _u19290, _u19291, c_Map_Omap__upds(_u19289, _u19290, _u19292, _u19293, _u19294)) = c_Map_Omap__upds(_u19289, _u19290, c_Map_Omap__add(_u19289, _u19290, _u19291, _u19292), _u19293, _u19294)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__take ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__take-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19295), _u19296)) | hBOOL(hAPP(c_List_Odistinct(_u19295), hAPP(hAPP(c_List_Otake(_u19295), _u19297), _u19296))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__take__subset ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__take__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19298, tc_HOL_Obool)), hAPP(c_List_Oset(_u19298), hAPP(hAPP(c_List_Otake(_u19298), _u19299), _u19300))), hAPP(c_List_Oset(_u19298), _u19300))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__take__subset__set__take ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__take__subset__set__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19301), _u19302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19303, tc_HOL_Obool)), hAPP(c_List_Oset(_u19303), hAPP(hAPP(c_List_Otake(_u19303), _u19301), _u19304))), hAPP(c_List_Oset(_u19303), hAPP(hAPP(c_List_Otake(_u19303), _u19302), _u19304)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_in__set__takeD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_in__set__takeD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19305), _u19306), hAPP(c_List_Oset(_u19305), hAPP(hAPP(c_List_Otake(_u19305), _u19307), _u19308)))) | hBOOL(hAPP(hAPP(c_member(_u19305), _u19306), hAPP(c_List_Oset(_u19305), _u19308))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__upds__apply__nontin ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__upds__apply__nontin-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19309), _u19310), hAPP(c_List_Oset(_u19309), _u19311))) | ( hAPP(c_Map_Omap__upds(_u19309, _u19312, _u19313, _u19311, _u19314), _u19310) = hAPP(_u19313, _u19310)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__map-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19315), _u19316), hAPP(hAPP(c_List_Omap(_u19317, _u19315), _u19318), _u19319)) = hAPP(hAPP(c_List_Omap(_u19317, _u19315), _u19318), hAPP(hAPP(c_List_Otake(_u19317), _u19316), _u19319))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__Suc__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19320), hAPP(c_Nat_OSuc, _u19321)), hAPP(hAPP(c_List_Olist_OCons(_u19320), _u19322), _u19323)) = hAPP(hAPP(c_List_Olist_OCons(_u19320), _u19322), hAPP(hAPP(c_List_Otake(_u19320), _u19321), _u19323))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__1__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19324), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19325), _u19326)) = hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19325), c_List_Olist_ONil(_u19324))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__upd__upds__conv__if ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__upd__upds__conv__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19334), _u19336), hAPP(c_List_Oset(_u19334), hAPP(hAPP(c_List_Otake(_u19334), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19338)), _u19340)), _u19342)))) | ( c_Map_Omap__upds(_u19334, _u19338, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19334, tc_Option_Ooption(_u19338)), _u19344), _u19336), hAPP(c_Option_Ooption_OSome(_u19338), _u19346)), _u19342, _u19340) = c_Map_Omap__upds(_u19334, _u19338, _u19344, _u19342, _u19340)) )).
% 27.68/27.91 cnf(fact_map__upd__upds__conv__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19335), _u19337), hAPP(c_List_Oset(_u19335), hAPP(hAPP(c_List_Otake(_u19335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19339)), _u19341)), _u19343)))) | ( c_Map_Omap__upds(_u19335, _u19339, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19335, tc_Option_Ooption(_u19339)), _u19345), _u19337), hAPP(c_Option_Ooption_OSome(_u19339), _u19347)), _u19343, _u19341) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19335, tc_Option_Ooption(_u19339)), c_Map_Omap__upds(_u19335, _u19339, _u19345, _u19343, _u19341)), _u19337), hAPP(c_Option_Ooption_OSome(_u19339), _u19347))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_dom__map__upds ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_dom__map__upds-1, axiom, ( ( c_Map_Odom(_u19348, _u19349, c_Map_Omap__upds(_u19348, _u19349, _u19350, _u19351, _u19352)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19348, tc_HOL_Obool)), hAPP(c_List_Oset(_u19348), hAPP(hAPP(c_List_Otake(_u19348), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19349)), _u19352)), _u19351))), c_Map_Odom(_u19348, _u19349, _u19350))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__all ( axiom ) converted to clauses:
% 27.68/27.91 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(_u19353)), _u19354)), _u19355)) | ( hAPP(hAPP(c_List_Otake(_u19353), _u19355), _u19354) = _u19354) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__take ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__take-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19356)), hAPP(hAPP(c_List_Otake(_u19356), _u19357), _u19358)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19356)), _u19358)), _u19357)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__take ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19359), _u19360)) | ( hAPP(hAPP(c_List_Onth(_u19361), hAPP(hAPP(c_List_Otake(_u19361), _u19360), _u19362)), _u19359) = hAPP(hAPP(c_List_Onth(_u19361), _u19362), _u19359)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__upds__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__upds__Cons-1, axiom, ( ( c_Map_Omap__upds(_u19363, _u19364, _u19365, hAPP(hAPP(c_List_Olist_OCons(_u19363), _u19366), _u19367), hAPP(hAPP(c_List_Olist_OCons(_u19364), _u19368), _u19369)) = c_Map_Omap__upds(_u19363, _u19364, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19363, tc_Option_Ooption(_u19364)), _u19365), _u19366), hAPP(c_Option_Ooption_OSome(_u19364), _u19368)), _u19367, _u19369)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19370), _u19371), hAPP(hAPP(c_List_Olist_OCons(_u19370), _u19372), _u19373)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u19370), c_List_Olist_ONil(_u19370), hAPP(hAPP(c_COMBB(tc_List_Olist(_u19370), tc_List_Olist(_u19370), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u19370), _u19372)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u19370), tc_List_Olist(_u19370)), c_List_Otake(_u19370)), _u19373)), _u19371)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__Cons_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__Cons_H-1, axiom, ( ( _u19378 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19380), _u19378), hAPP(hAPP(c_List_Olist_OCons(_u19380), _u19382), _u19384)) = c_List_Olist_ONil(_u19380)) )).
% 27.68/27.91 cnf(fact_take__Cons_H-2, axiom, ( ( _u19379 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19381), _u19379), hAPP(hAPP(c_List_Olist_OCons(_u19381), _u19383), _u19385)) = hAPP(hAPP(c_List_Olist_OCons(_u19381), _u19383), hAPP(hAPP(c_List_Otake(_u19381), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19379), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19385))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__upds__list__update2__drop ( axiom ) converted to clauses:
% 27.68/27.91 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(_u19386)), _u19387)), _u19388)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19388), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19389)), _u19390))) | ( c_Map_Omap__upds(_u19386, _u19389, _u19391, _u19387, hAPP(hAPP(c_List_Olist__update(_u19389, _u19390), _u19388), _u19392)) = c_Map_Omap__upds(_u19386, _u19389, _u19391, _u19387, _u19390)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__upds__twist ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__upds__twist-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19393), _u19394), hAPP(c_List_Oset(_u19393), _u19395))) | ( c_Map_Omap__upds(_u19393, _u19396, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19393, tc_Option_Ooption(_u19396)), _u19397), _u19394), hAPP(c_Option_Ooption_OSome(_u19396), _u19398)), _u19395, _u19399) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19393, tc_Option_Ooption(_u19396)), c_Map_Omap__upds(_u19393, _u19396, _u19397, _u19395, _u19399)), _u19394), hAPP(c_Option_Ooption_OSome(_u19396), _u19398))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__Cons__number__of ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19404) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19406), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19404)), hAPP(hAPP(c_List_Olist_OCons(_u19406), _u19408), _u19410)) = c_List_Olist_ONil(_u19406)) )).
% 27.68/27.91 cnf(fact_take__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19405) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19407), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19405)), hAPP(hAPP(c_List_Olist_OCons(_u19407), _u19409), _u19411)) = hAPP(hAPP(c_List_Olist_OCons(_u19407), _u19409), hAPP(hAPP(c_List_Otake(_u19407), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19405)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19411))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_restrict__map__upds ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_restrict__map__upds-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19412)), _u19413) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19414)), _u19415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19412, tc_HOL_Obool)), hAPP(c_List_Oset(_u19412), _u19413)), _u19416)) | ( c_Map_Orestrict__map(_u19412, _u19414, c_Map_Omap__upds(_u19412, _u19414, _u19417, _u19413, _u19415), _u19416) = c_Map_Omap__upds(_u19412, _u19414, c_Map_Orestrict__map(_u19412, _u19414, _u19417, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19412, tc_HOL_Obool)), _u19416), hAPP(c_List_Oset(_u19412), _u19413))), _u19413, _u19415)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__Suc__conv__app__nth ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__Suc__conv__app__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19418), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19419)), _u19420))) | ( hAPP(hAPP(c_List_Otake(_u19419), hAPP(c_Nat_OSuc, _u19418)), _u19420) = hAPP(hAPP(c_List_Oappend(_u19419), hAPP(hAPP(c_List_Otake(_u19419), _u19418), _u19420)), hAPP(hAPP(c_List_Olist_OCons(_u19419), hAPP(hAPP(c_List_Onth(_u19419), _u19420), _u19418)), c_List_Olist_ONil(_u19419)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_snoc__listrel1__snoc__iff ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_snoc__listrel1__snoc__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19427), tc_List_Olist(_u19427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19427), tc_List_Olist(_u19427)), hAPP(hAPP(c_List_Oappend(_u19427), _u19429), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19431), c_List_Olist_ONil(_u19427)))), hAPP(hAPP(c_List_Oappend(_u19427), _u19433), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19435), c_List_Olist_ONil(_u19427))))), c_List_Olistrel1(_u19427, _u19437))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19427), tc_List_Olist(_u19427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19427), tc_List_Olist(_u19427)), _u19429), _u19433)), c_List_Olistrel1(_u19427, _u19437))) | ( _u19429 = _u19433) )).
% 27.68/27.91 cnf(fact_snoc__listrel1__snoc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19427), tc_List_Olist(_u19427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19427), tc_List_Olist(_u19427)), hAPP(hAPP(c_List_Oappend(_u19427), _u19429), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19431), c_List_Olist_ONil(_u19427)))), hAPP(hAPP(c_List_Oappend(_u19427), _u19433), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19435), c_List_Olist_ONil(_u19427))))), c_List_Olistrel1(_u19427, _u19437))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19427), tc_List_Olist(_u19427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19427), tc_List_Olist(_u19427)), _u19429), _u19433)), c_List_Olistrel1(_u19427, _u19437))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19427, _u19427)), hAPP(hAPP(c_Product__Type_OPair(_u19427, _u19427), _u19431), _u19435)), _u19437)) )).
% 27.68/27.91 cnf(fact_snoc__listrel1__snoc__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19427), tc_List_Olist(_u19427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19427), tc_List_Olist(_u19427)), hAPP(hAPP(c_List_Oappend(_u19427), _u19429), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19431), c_List_Olist_ONil(_u19427)))), hAPP(hAPP(c_List_Oappend(_u19427), _u19433), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19435), c_List_Olist_ONil(_u19427))))), c_List_Olistrel1(_u19427, _u19437))) | ( _u19431 = _u19435) | ( _u19429 = _u19433) )).
% 27.68/27.91 cnf(fact_snoc__listrel1__snoc__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19427), tc_List_Olist(_u19427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19427), tc_List_Olist(_u19427)), hAPP(hAPP(c_List_Oappend(_u19427), _u19429), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19431), c_List_Olist_ONil(_u19427)))), hAPP(hAPP(c_List_Oappend(_u19427), _u19433), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19435), c_List_Olist_ONil(_u19427))))), c_List_Olistrel1(_u19427, _u19437))) | ( _u19431 = _u19435) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19427, _u19427)), hAPP(hAPP(c_Product__Type_OPair(_u19427, _u19427), _u19431), _u19435)), _u19437)) )).
% 27.68/27.91 cnf(fact_snoc__listrel1__snoc__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19428), tc_List_Olist(_u19428))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19428), tc_List_Olist(_u19428)), hAPP(hAPP(c_List_Oappend(_u19428), _u19430), hAPP(hAPP(c_List_Olist_OCons(_u19428), _u19432), c_List_Olist_ONil(_u19428)))), hAPP(hAPP(c_List_Oappend(_u19428), _u19434), hAPP(hAPP(c_List_Olist_OCons(_u19428), _u19436), c_List_Olist_ONil(_u19428))))), c_List_Olistrel1(_u19428, _u19438))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19428), tc_List_Olist(_u19428))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19428), tc_List_Olist(_u19428)), _u19430), _u19434)), c_List_Olistrel1(_u19428, _u19438))) | ( _u19432 != _u19436) )).
% 27.68/27.91 cnf(fact_snoc__listrel1__snoc__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19428), tc_List_Olist(_u19428))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19428), tc_List_Olist(_u19428)), hAPP(hAPP(c_List_Oappend(_u19428), _u19430), hAPP(hAPP(c_List_Olist_OCons(_u19428), _u19432), c_List_Olist_ONil(_u19428)))), hAPP(hAPP(c_List_Oappend(_u19428), _u19434), hAPP(hAPP(c_List_Olist_OCons(_u19428), _u19436), c_List_Olist_ONil(_u19428))))), c_List_Olistrel1(_u19428, _u19438))) | ( _u19430 != _u19434) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19428, _u19428)), hAPP(hAPP(c_Product__Type_OPair(_u19428, _u19428), _u19432), _u19436)), _u19438)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_lexord__append__leftD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_lexord__append__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19440), tc_List_Olist(_u19440))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19440), tc_List_Olist(_u19440)), hAPP(hAPP(c_List_Oappend(_u19440), _u19441), _u19442)), hAPP(hAPP(c_List_Oappend(_u19440), _u19441), _u19443))), c_List_Olexord(_u19440, _u19444))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19440, _u19440)), hAPP(hAPP(c_Product__Type_OPair(_u19440, _u19440), skolem472(_u19444, _u19443, _u19442, _u19441, _u19440)), skolem472(_u19444, _u19443, _u19442, _u19441, _u19440))), _u19444)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19440), tc_List_Olist(_u19440))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19440), tc_List_Olist(_u19440)), _u19442), _u19443)), c_List_Olexord(_u19440, _u19444))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Cons__acc__listrel1I ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Cons__acc__listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19445), _u19446), c_Wellfounded_Oacc(_u19445, _u19447))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19445)), _u19448), c_Wellfounded_Oacc(tc_List_Olist(_u19445), c_List_Olistrel1(_u19445, _u19447)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19445)), hAPP(hAPP(c_List_Olist_OCons(_u19445), _u19446), _u19448)), c_Wellfounded_Oacc(tc_List_Olist(_u19445), c_List_Olistrel1(_u19445, _u19447)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19449), tc_List_Olist(_u19449)), tc_HOL_Obool)), c_List_Olistrel(_u19449, _u19450)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19449), c_List_Olistrel1(_u19449, _u19450)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel1__mono ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel1__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19451, _u19451), tc_HOL_Obool)), _u19452), _u19453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19451), tc_List_Olist(_u19451)), tc_HOL_Obool)), c_List_Olistrel1(_u19451, _u19452)), c_List_Olistrel1(_u19451, _u19453))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel1__converse ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel1__converse-1, axiom, ( ( c_List_Olistrel1(_u19454, hAPP(c_Relation_Oconverse(_u19454, _u19454), _u19455)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u19454), tc_List_Olist(_u19454)), c_List_Olistrel1(_u19454, _u19455))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__rtrancl__eq__rtrancl__listrel1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__rtrancl__eq__rtrancl__listrel1-1, axiom, ( ( c_List_Olistrel(_u19456, c_Transitive__Closure_Ortrancl(_u19456, _u19457)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19456), c_List_Olistrel1(_u19456, _u19457))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel1__rtrancl__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 27.68/27.91 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(_u19458), tc_List_Olist(_u19458)), tc_HOL_Obool)), c_List_Olistrel1(_u19458, c_Transitive__Closure_Ortrancl(_u19458, _u19459))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19458), c_List_Olistrel1(_u19458, _u19459)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel1I2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel1I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19460), tc_List_Olist(_u19460))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19460), tc_List_Olist(_u19460)), _u19461), _u19462)), c_List_Olistrel1(_u19460, _u19463))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19460), tc_List_Olist(_u19460))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19460), tc_List_Olist(_u19460)), hAPP(hAPP(c_List_Olist_OCons(_u19460), _u19464), _u19461)), hAPP(hAPP(c_List_Olist_OCons(_u19460), _u19464), _u19462))), c_List_Olistrel1(_u19460, _u19463))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rtrancl__listrel1__ConsI1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rtrancl__listrel1__ConsI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19465), tc_List_Olist(_u19465))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19465), tc_List_Olist(_u19465)), _u19466), _u19467)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19465), c_List_Olistrel1(_u19465, _u19468)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19465), tc_List_Olist(_u19465))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19465), tc_List_Olist(_u19465)), hAPP(hAPP(c_List_Olist_OCons(_u19465), _u19469), _u19466)), hAPP(hAPP(c_List_Olist_OCons(_u19465), _u19469), _u19467))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19465), c_List_Olistrel1(_u19465, _u19468)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel1__eq__len ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19470), tc_List_Olist(_u19470))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19470), tc_List_Olist(_u19470)), _u19471), _u19472)), c_List_Olistrel1(_u19470, _u19473))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19470)), _u19471) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19470)), _u19472)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rtrancl__listrel1__eq__len ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rtrancl__listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19474), tc_List_Olist(_u19474))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19474), tc_List_Olist(_u19474)), _u19475), _u19476)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19474), c_List_Olistrel1(_u19474, _u19477)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19474)), _u19475) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19474)), _u19476)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_not__Nil__listrel1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_not__Nil__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19478), tc_List_Olist(_u19478))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19478), tc_List_Olist(_u19478)), c_List_Olist_ONil(_u19478)), _u19479)), c_List_Olistrel1(_u19478, _u19480))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_not__listrel1__Nil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_not__listrel1__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19481), tc_List_Olist(_u19481))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19481), tc_List_Olist(_u19481)), _u19482), c_List_Olist_ONil(_u19481))), c_List_Olistrel1(_u19481, _u19483))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__listrel1I ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__listrel1I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19484), tc_List_Olist(_u19484))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19484), tc_List_Olist(_u19484)), hAPP(hAPP(c_List_Oappend(_u19484), _u19485), _u19488)), hAPP(hAPP(c_List_Oappend(_u19484), _u19486), _u19489))), c_List_Olistrel1(_u19484, _u19487))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19484), tc_List_Olist(_u19484))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19484), tc_List_Olist(_u19484)), _u19485), _u19486)), c_List_Olistrel1(_u19484, _u19487))) | ( _u19488 != _u19489) )).
% 27.68/27.91 cnf(fact_append__listrel1I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19484), tc_List_Olist(_u19484))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19484), tc_List_Olist(_u19484)), hAPP(hAPP(c_List_Oappend(_u19484), _u19485), _u19488)), hAPP(hAPP(c_List_Oappend(_u19484), _u19486), _u19489))), c_List_Olistrel1(_u19484, _u19487))) | ( _u19485 != _u19486) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19484), tc_List_Olist(_u19484))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19484), tc_List_Olist(_u19484)), _u19488), _u19489)), c_List_Olistrel1(_u19484, _u19487))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_in__listrel1__converse ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_in__listrel1__converse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19494), tc_List_Olist(_u19494))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19494), tc_List_Olist(_u19494)), _u19496), _u19498)), c_List_Olistrel1(_u19494, hAPP(c_Relation_Oconverse(_u19494, _u19494), _u19500)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19494), tc_List_Olist(_u19494))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19494), tc_List_Olist(_u19494)), _u19496), _u19498)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19494), tc_List_Olist(_u19494)), c_List_Olistrel1(_u19494, _u19500)))) )).
% 27.68/27.91 cnf(fact_in__listrel1__converse-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19495), tc_List_Olist(_u19495))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19495), tc_List_Olist(_u19495)), _u19497), _u19499)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19495), tc_List_Olist(_u19495)), c_List_Olistrel1(_u19495, _u19501)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19495), tc_List_Olist(_u19495))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19495), tc_List_Olist(_u19495)), _u19497), _u19499)), c_List_Olistrel1(_u19495, hAPP(c_Relation_Oconverse(_u19495, _u19495), _u19501)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rtrancl__listrel1__if__listrel ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rtrancl__listrel1__if__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19502), tc_List_Olist(_u19502))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19502), tc_List_Olist(_u19502)), _u19503), _u19504)), c_List_Olistrel(_u19502, _u19505))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19502), tc_List_Olist(_u19502))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19502), tc_List_Olist(_u19502)), _u19503), _u19504)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19502), c_List_Olistrel1(_u19502, _u19505)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel__reflcl__if__listrel1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel__reflcl__if__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19506), tc_List_Olist(_u19506))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19506), tc_List_Olist(_u19506)), _u19507), _u19508)), c_List_Olistrel1(_u19506, _u19509))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19506), tc_List_Olist(_u19506))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19506), tc_List_Olist(_u19506)), _u19507), _u19508)), c_List_Olistrel(_u19506, c_Transitive__Closure_Ortrancl(_u19506, _u19509)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_Cons__listrel1__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_Cons__listrel1__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19516), tc_List_Olist(_u19516))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19516), tc_List_Olist(_u19516)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19518), _u19520)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19522), _u19524))), c_List_Olistrel1(_u19516, _u19526))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19516, _u19516)), hAPP(hAPP(c_Product__Type_OPair(_u19516, _u19516), _u19518), _u19522)), _u19526)) | ( _u19518 = _u19522) )).
% 27.68/27.91 cnf(fact_Cons__listrel1__Cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19516), tc_List_Olist(_u19516))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19516), tc_List_Olist(_u19516)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19518), _u19520)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19522), _u19524))), c_List_Olistrel1(_u19516, _u19526))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19516, _u19516)), hAPP(hAPP(c_Product__Type_OPair(_u19516, _u19516), _u19518), _u19522)), _u19526)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19516), tc_List_Olist(_u19516))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19516), tc_List_Olist(_u19516)), _u19520), _u19524)), c_List_Olistrel1(_u19516, _u19526))) )).
% 27.68/27.91 cnf(fact_Cons__listrel1__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19516), tc_List_Olist(_u19516))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19516), tc_List_Olist(_u19516)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19518), _u19520)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19522), _u19524))), c_List_Olistrel1(_u19516, _u19526))) | ( _u19520 = _u19524) | ( _u19518 = _u19522) )).
% 27.68/27.91 cnf(fact_Cons__listrel1__Cons-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19516), tc_List_Olist(_u19516))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19516), tc_List_Olist(_u19516)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19518), _u19520)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19522), _u19524))), c_List_Olistrel1(_u19516, _u19526))) | ( _u19520 = _u19524) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19516), tc_List_Olist(_u19516))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19516), tc_List_Olist(_u19516)), _u19520), _u19524)), c_List_Olistrel1(_u19516, _u19526))) )).
% 27.68/27.91 cnf(fact_Cons__listrel1__Cons-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19517), tc_List_Olist(_u19517))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19517), tc_List_Olist(_u19517)), hAPP(hAPP(c_List_Olist_OCons(_u19517), _u19519), _u19521)), hAPP(hAPP(c_List_Olist_OCons(_u19517), _u19523), _u19525))), c_List_Olistrel1(_u19517, _u19527))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19517, _u19517)), hAPP(hAPP(c_Product__Type_OPair(_u19517, _u19517), _u19519), _u19523)), _u19527)) | ( _u19521 != _u19525) )).
% 27.68/27.91 cnf(fact_Cons__listrel1__Cons-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19517), tc_List_Olist(_u19517))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19517), tc_List_Olist(_u19517)), hAPP(hAPP(c_List_Olist_OCons(_u19517), _u19519), _u19521)), hAPP(hAPP(c_List_Olist_OCons(_u19517), _u19523), _u19525))), c_List_Olistrel1(_u19517, _u19527))) | ( _u19519 != _u19523) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19517), tc_List_Olist(_u19517))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19517), tc_List_Olist(_u19517)), _u19521), _u19525)), c_List_Olistrel1(_u19517, _u19527))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel1I1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel1I1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19528, _u19528)), hAPP(hAPP(c_Product__Type_OPair(_u19528, _u19528), _u19529), _u19530)), _u19531)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19528), tc_List_Olist(_u19528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19528), tc_List_Olist(_u19528)), hAPP(hAPP(c_List_Olist_OCons(_u19528), _u19529), _u19532)), hAPP(hAPP(c_List_Olist_OCons(_u19528), _u19530), _u19532))), c_List_Olistrel1(_u19528, _u19531))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel1__subset__listrel ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel1__subset__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19533, _u19533), tc_HOL_Obool)), _u19534), _u19535)) | ~c_Relation_Orefl__on(_u19533, c_Orderings_Otop__class_Otop(tc_fun(_u19533, tc_HOL_Obool)), _u19535) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19533), tc_List_Olist(_u19533)), tc_HOL_Obool)), c_List_Olistrel1(_u19533, _u19534)), c_List_Olistrel(_u19533, _u19535))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel1I ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19536, _u19536)), hAPP(hAPP(c_Product__Type_OPair(_u19536, _u19536), _u19537), _u19538)), _u19539)) | ( _u19540 != hAPP(hAPP(c_List_Oappend(_u19536), _u19541), hAPP(hAPP(c_List_Olist_OCons(_u19536), _u19537), _u19542))) | ( _u19543 != hAPP(hAPP(c_List_Oappend(_u19536), _u19541), hAPP(hAPP(c_List_Olist_OCons(_u19536), _u19538), _u19542))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19536), tc_List_Olist(_u19536))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19536), tc_List_Olist(_u19536)), _u19540), _u19543)), c_List_Olistrel1(_u19536, _u19539))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rtrancl__listrel1__ConsI2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rtrancl__listrel1__ConsI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19544, _u19544)), hAPP(hAPP(c_Product__Type_OPair(_u19544, _u19544), _u19545), _u19546)), c_Transitive__Closure_Ortrancl(_u19544, _u19547))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19544), tc_List_Olist(_u19544))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19544), tc_List_Olist(_u19544)), _u19548), _u19549)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19544), c_List_Olistrel1(_u19544, _u19547)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19544), tc_List_Olist(_u19544))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19544), tc_List_Olist(_u19544)), hAPP(hAPP(c_List_Olist_OCons(_u19544), _u19545), _u19548)), hAPP(hAPP(c_List_Olist_OCons(_u19544), _u19546), _u19549))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19544), c_List_Olistrel1(_u19544, _u19547)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel1__iff__update ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel1__iff__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19558), tc_List_Olist(_u19558))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19558), tc_List_Olist(_u19558)), _u19560), _u19562)), c_List_Olistrel1(_u19558, _u19564))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19558, _u19558)), hAPP(hAPP(c_Product__Type_OPair(_u19558, _u19558), hAPP(hAPP(c_List_Onth(_u19558), _u19560), skolem474(_u19564, _u19562, _u19560, _u19558))), skolem473(_u19564, _u19562, _u19560, _u19558))), _u19564)) )).
% 27.68/27.91 cnf(fact_listrel1__iff__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19558), tc_List_Olist(_u19558))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19558), tc_List_Olist(_u19558)), _u19560), _u19562)), c_List_Olistrel1(_u19558, _u19564))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem474(_u19564, _u19562, _u19560, _u19558)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19558)), _u19560))) )).
% 27.68/27.91 cnf(fact_listrel1__iff__update-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19558), tc_List_Olist(_u19558))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19558), tc_List_Olist(_u19558)), _u19560), _u19562)), c_List_Olistrel1(_u19558, _u19564))) | ( _u19562 = hAPP(hAPP(c_List_Olist__update(_u19558, _u19560), skolem474(_u19564, _u19562, _u19560, _u19558)), skolem473(_u19564, _u19562, _u19560, _u19558))) )).
% 27.68/27.91 cnf(fact_listrel1__iff__update-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19559, _u19559)), hAPP(hAPP(c_Product__Type_OPair(_u19559, _u19559), hAPP(hAPP(c_List_Onth(_u19559), _u19561), _u19552)), _u19553)), _u19565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19552), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19559)), _u19561))) | ( _u19563 != hAPP(hAPP(c_List_Olist__update(_u19559, _u19561), _u19552), _u19553)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19559), tc_List_Olist(_u19559))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19559), tc_List_Olist(_u19559)), _u19561), _u19563)), c_List_Olistrel1(_u19559, _u19565))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listrel1E ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listrel1E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19570), tc_List_Olist(_u19570))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19570), tc_List_Olist(_u19570)), _u19571), _u19572)), c_List_Olistrel1(_u19570, _u19573))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19570, _u19570)), hAPP(hAPP(c_Product__Type_OPair(_u19570, _u19570), skolem475(_u19573, _u19572, _u19571, _u19570)), skolem476(_u19573, _u19572, _u19571, _u19570))), _u19573)) )).
% 27.68/27.91 cnf(fact_listrel1E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19570), tc_List_Olist(_u19570))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19570), tc_List_Olist(_u19570)), _u19571), _u19572)), c_List_Olistrel1(_u19570, _u19573))) | ( _u19571 = hAPP(hAPP(c_List_Oappend(_u19570), skolem477(_u19573, _u19572, _u19571, _u19570)), hAPP(hAPP(c_List_Olist_OCons(_u19570), skolem475(_u19573, _u19572, _u19571, _u19570)), skolem478(_u19573, _u19572, _u19571, _u19570)))) )).
% 27.68/27.91 cnf(fact_listrel1E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19570), tc_List_Olist(_u19570))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19570), tc_List_Olist(_u19570)), _u19571), _u19572)), c_List_Olistrel1(_u19570, _u19573))) | ( _u19572 = hAPP(hAPP(c_List_Oappend(_u19570), skolem477(_u19573, _u19572, _u19571, _u19570)), hAPP(hAPP(c_List_Olist_OCons(_u19570), skolem476(_u19573, _u19572, _u19571, _u19570)), skolem478(_u19573, _u19572, _u19571, _u19570)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate1__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate1__def-1, axiom, ( ( hAPP(c_List_Orotate1(_u19574), _u19575) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u19574), _u19574, c_List_Olist_ONil(_u19574), hAPP(hAPP(c_COMBB(tc_List_Olist(_u19574), tc_fun(tc_List_Olist(_u19574), tc_List_Olist(_u19574)), _u19574), hAPP(c_COMBC(tc_List_Olist(_u19574), tc_List_Olist(_u19574), tc_List_Olist(_u19574)), c_List_Oappend(_u19574))), hAPP(hAPP(c_COMBC(_u19574, tc_List_Olist(_u19574), tc_List_Olist(_u19574)), c_List_Olist_OCons(_u19574)), c_List_Olist_ONil(_u19574)))), _u19575)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_upd__conv__take__nth__drop ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_upd__conv__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19576), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19577)), _u19578))) | ( hAPP(hAPP(c_List_Olist__update(_u19577, _u19578), _u19576), _u19579) = hAPP(hAPP(c_List_Oappend(_u19577), hAPP(hAPP(c_List_Otake(_u19577), _u19576), _u19578)), hAPP(hAPP(c_List_Olist_OCons(_u19577), _u19579), hAPP(hAPP(c_List_Odrop(_u19577), hAPP(c_Nat_OSuc, _u19576)), _u19578)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__eq__conv__conj ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__eq__conv__conj-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19584), _u19586), _u19588) != _u19590) | ( _u19586 = hAPP(hAPP(c_List_Otake(_u19584), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19584)), _u19586)), _u19590)) )).
% 27.68/27.91 cnf(fact_append__eq__conv__conj-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19584), _u19586), _u19588) != _u19590) | ( _u19588 = hAPP(hAPP(c_List_Odrop(_u19584), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19584)), _u19586)), _u19590)) )).
% 27.68/27.91 cnf(fact_append__eq__conv__conj-3, axiom, ( ( _u19587 != hAPP(hAPP(c_List_Otake(_u19585), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19585)), _u19587)), _u19591)) | ( _u19589 != hAPP(hAPP(c_List_Odrop(_u19585), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19585)), _u19587)), _u19591)) | ( hAPP(hAPP(c_List_Oappend(_u19585), _u19587), _u19589) = _u19591) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__append-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19592), _u19593), hAPP(hAPP(c_List_Oappend(_u19592), _u19594), _u19595)) = hAPP(hAPP(c_List_Oappend(_u19592), hAPP(hAPP(c_List_Odrop(_u19592), _u19593), _u19594)), hAPP(hAPP(c_List_Odrop(_u19592), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19593), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19592)), _u19594))), _u19595))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__via__drop ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__via__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19596), _u19597), _u19598) != hAPP(hAPP(c_List_Olist_OCons(_u19596), _u19599), _u19600)) | ( hAPP(hAPP(c_List_Onth(_u19596), _u19598), _u19597) = _u19599) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__drop ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19601)), hAPP(hAPP(c_List_Odrop(_u19601), _u19602), _u19603)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19601)), _u19603)), _u19602)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__rotate1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__rotate1-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), hAPP(c_List_Orotate1(_u19604), _u19605)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19605)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__1__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19606), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u19606), _u19607), _u19608)) = _u19608) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__Suc__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19609), hAPP(c_Nat_OSuc, _u19610)), hAPP(hAPP(c_List_Olist_OCons(_u19609), _u19611), _u19612)) = hAPP(hAPP(c_List_Odrop(_u19609), _u19610), _u19612)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__map-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19613), _u19614), hAPP(hAPP(c_List_Omap(_u19615, _u19613), _u19616), _u19617)) = hAPP(hAPP(c_List_Omap(_u19615, _u19613), _u19616), hAPP(hAPP(c_List_Odrop(_u19615), _u19614), _u19617))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_in__set__dropD ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_in__set__dropD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19618), _u19619), hAPP(c_List_Oset(_u19618), hAPP(hAPP(c_List_Odrop(_u19618), _u19620), _u19621)))) | hBOOL(hAPP(hAPP(c_member(_u19618), _u19619), hAPP(c_List_Oset(_u19618), _u19621))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__rotate1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__rotate1-1, axiom, ( ( hAPP(c_List_Oset(_u19622), hAPP(c_List_Orotate1(_u19622), _u19623)) = hAPP(c_List_Oset(_u19622), _u19623)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__drop__subset ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__drop__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19624, tc_HOL_Obool)), hAPP(c_List_Oset(_u19624), hAPP(hAPP(c_List_Odrop(_u19624), _u19625), _u19626))), hAPP(c_List_Oset(_u19624), _u19626))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__drop ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__drop-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19627), _u19628)) | hBOOL(hAPP(c_List_Odistinct(_u19627), hAPP(hAPP(c_List_Odrop(_u19627), _u19629), _u19628))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct1__rotate ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct1__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19632), hAPP(c_List_Orotate1(_u19632), _u19634))) | hBOOL(hAPP(c_List_Odistinct(_u19632), _u19634)) )).
% 27.68/27.91 cnf(fact_distinct1__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19633), _u19635)) | hBOOL(hAPP(c_List_Odistinct(_u19633), hAPP(c_List_Orotate1(_u19633), _u19635))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__drop ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19636), _u19637), hAPP(hAPP(c_List_Odrop(_u19636), _u19638), _u19639)) = hAPP(hAPP(c_List_Odrop(_u19636), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19637), _u19638)), _u19639)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__0 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__0-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19640), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u19641) = _u19641) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__zip ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__zip-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u19642, _u19643)), _u19644), hAPP(hAPP(c_List_Ozip(_u19642, _u19643), _u19645), _u19646)) = hAPP(hAPP(c_List_Ozip(_u19642, _u19643), hAPP(hAPP(c_List_Odrop(_u19642), _u19644), _u19645)), hAPP(hAPP(c_List_Odrop(_u19643), _u19644), _u19646))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate1__is__Nil__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate1__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate1(_u19649), _u19651) != c_List_Olist_ONil(_u19649)) | ( _u19651 = c_List_Olist_ONil(_u19649)) )).
% 27.68/27.91 cnf(fact_rotate1__is__Nil__conv-2, axiom, ( ( _u19652 != c_List_Olist_ONil(_u19650)) | ( hAPP(c_List_Orotate1(_u19650), _u19652) = c_List_Olist_ONil(_u19650)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__Nil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19653), _u19654), c_List_Olist_ONil(_u19653)) = c_List_Olist_ONil(_u19653)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__eq__Nil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19658), _u19660), _u19662) != c_List_Olist_ONil(_u19658)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19658)), _u19662)), _u19660)) )).
% 27.68/27.91 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(_u19659)), _u19663)), _u19661)) | ( hAPP(hAPP(c_List_Odrop(_u19659), _u19661), _u19663) = c_List_Olist_ONil(_u19659)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__all ( axiom ) converted to clauses:
% 27.68/27.91 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(_u19664)), _u19665)), _u19666)) | ( hAPP(hAPP(c_List_Odrop(_u19664), _u19666), _u19665) = c_List_Olist_ONil(_u19664)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__drop__subset__set__drop ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__drop__subset__set__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19667), _u19668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19669, tc_HOL_Obool)), hAPP(c_List_Oset(_u19669), hAPP(hAPP(c_List_Odrop(_u19669), _u19668), _u19670))), hAPP(c_List_Oset(_u19669), hAPP(hAPP(c_List_Odrop(_u19669), _u19667), _u19670)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__drop ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__drop-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19671), _u19672), hAPP(hAPP(c_List_Odrop(_u19671), _u19673), _u19674)) = hAPP(hAPP(c_List_Odrop(_u19671), _u19673), hAPP(hAPP(c_List_Otake(_u19671), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19672), _u19673)), _u19674))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__take ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__take-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19675), _u19676), hAPP(hAPP(c_List_Otake(_u19675), _u19677), _u19678)) = hAPP(hAPP(c_List_Otake(_u19675), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19677), _u19676)), hAPP(hAPP(c_List_Odrop(_u19675), _u19676), _u19678))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__take__drop__id ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__take__drop__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19679), hAPP(hAPP(c_List_Otake(_u19679), _u19680), _u19681)), hAPP(hAPP(c_List_Odrop(_u19679), _u19680), _u19681)) = _u19681) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19682), _u19683), hAPP(hAPP(c_List_Olist_OCons(_u19682), _u19684), _u19685)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u19682), hAPP(hAPP(c_List_Olist_OCons(_u19682), _u19684), _u19685), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u19682), tc_List_Olist(_u19682)), c_List_Odrop(_u19682)), _u19685), _u19683)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__Cons_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__Cons_H-1, axiom, ( ( _u19690 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19692), _u19690), hAPP(hAPP(c_List_Olist_OCons(_u19692), _u19694), _u19696)) = hAPP(hAPP(c_List_Olist_OCons(_u19692), _u19694), _u19696)) )).
% 27.68/27.91 cnf(fact_drop__Cons_H-2, axiom, ( ( _u19691 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19693), _u19691), hAPP(hAPP(c_List_Olist_OCons(_u19693), _u19695), _u19697)) = hAPP(hAPP(c_List_Odrop(_u19693), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19691), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19697)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__drop ( axiom ) converted to clauses:
% 27.68/27.91 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), _u19698), _u19699)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19700)), _u19701))) | ( hAPP(hAPP(c_List_Onth(_u19700), hAPP(hAPP(c_List_Odrop(_u19700), _u19698), _u19701)), _u19699) = hAPP(hAPP(c_List_Onth(_u19700), _u19701), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19698), _u19699))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_append__eq__append__conv__if ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_append__eq__append__conv__if-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19707), _u19709), _u19711) != hAPP(hAPP(c_List_Oappend(_u19707), _u19713), _u19715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19713))) | ( _u19709 = hAPP(hAPP(c_List_Otake(_u19707), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19709)), _u19713)) )).
% 27.68/27.91 cnf(fact_append__eq__append__conv__if-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19707), _u19709), _u19711) != hAPP(hAPP(c_List_Oappend(_u19707), _u19713), _u19715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19713))) | ( _u19711 = hAPP(hAPP(c_List_Oappend(_u19707), hAPP(hAPP(c_List_Odrop(_u19707), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19709)), _u19713)), _u19715)) )).
% 27.68/27.91 cnf(fact_append__eq__append__conv__if-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19707), _u19709), _u19711) != hAPP(hAPP(c_List_Oappend(_u19707), _u19713), _u19715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19713))) | ( hAPP(hAPP(c_List_Otake(_u19707), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19713)), _u19709) = _u19713) )).
% 27.68/27.91 cnf(fact_append__eq__append__conv__if-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19707), _u19709), _u19711) != hAPP(hAPP(c_List_Oappend(_u19707), _u19713), _u19715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19713))) | ( hAPP(hAPP(c_List_Oappend(_u19707), hAPP(hAPP(c_List_Odrop(_u19707), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19713)), _u19709)), _u19711) = _u19715) )).
% 27.68/27.91 cnf(fact_append__eq__append__conv__if-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19708), _u19710), _u19712) = hAPP(hAPP(c_List_Oappend(_u19708), _u19714), _u19716)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19710)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19714))) | ( hAPP(hAPP(c_List_Otake(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19714)), _u19710) != _u19714) | ( hAPP(hAPP(c_List_Oappend(_u19708), hAPP(hAPP(c_List_Odrop(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19714)), _u19710)), _u19712) != _u19716) )).
% 27.68/27.91 cnf(fact_append__eq__append__conv__if-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19708), _u19710), _u19712) = hAPP(hAPP(c_List_Oappend(_u19708), _u19714), _u19716)) | ( _u19710 != hAPP(hAPP(c_List_Otake(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19710)), _u19714)) | ( _u19712 != hAPP(hAPP(c_List_Oappend(_u19708), hAPP(hAPP(c_List_Odrop(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19710)), _u19714)), _u19716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19710)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19714))) )).
% 27.68/27.91 cnf(fact_append__eq__append__conv__if-7, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19708), _u19710), _u19712) = hAPP(hAPP(c_List_Oappend(_u19708), _u19714), _u19716)) | ( _u19710 != hAPP(hAPP(c_List_Otake(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19710)), _u19714)) | ( _u19712 != hAPP(hAPP(c_List_Oappend(_u19708), hAPP(hAPP(c_List_Odrop(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19710)), _u19714)), _u19716)) | ( hAPP(hAPP(c_List_Otake(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19714)), _u19710) != _u19714) | ( hAPP(hAPP(c_List_Oappend(_u19708), hAPP(hAPP(c_List_Odrop(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19714)), _u19710)), _u19712) != _u19716) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_nth__drop_H ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_nth__drop_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19717), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19718)), _u19719))) | ( hAPP(hAPP(c_List_Olist_OCons(_u19718), hAPP(hAPP(c_List_Onth(_u19718), _u19719), _u19717)), hAPP(hAPP(c_List_Odrop(_u19718), hAPP(c_Nat_OSuc, _u19717)), _u19719)) = hAPP(hAPP(c_List_Odrop(_u19718), _u19717), _u19719)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate__simps ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate__simps-1, axiom, ( ( hAPP(c_List_Orotate1(_u19720), c_List_Olist_ONil(_u19720)) = c_List_Olist_ONil(_u19720)) )).
% 27.68/27.91 cnf(fact_rotate__simps-2, axiom, ( ( hAPP(c_List_Orotate1(_u19721), hAPP(hAPP(c_List_Olist_OCons(_u19721), _u19722), _u19723)) = hAPP(hAPP(c_List_Oappend(_u19721), _u19723), hAPP(hAPP(c_List_Olist_OCons(_u19721), _u19722), c_List_Olist_ONil(_u19721)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__Cons__number__of ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19728) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19730), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19728)), hAPP(hAPP(c_List_Olist_OCons(_u19730), _u19732), _u19734)) = hAPP(hAPP(c_List_Olist_OCons(_u19730), _u19732), _u19734)) )).
% 27.68/27.91 cnf(fact_drop__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19729) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19731), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19729)), hAPP(hAPP(c_List_Olist_OCons(_u19731), _u19733), _u19735)) = hAPP(hAPP(c_List_Odrop(_u19731), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19729)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19735)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__add ( axiom ) converted to clauses:
% 27.68/27.91 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), _u19736), _u19737)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19738)), _u19739))) | ( hAPP(hAPP(c_List_Otake(_u19738), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19736), _u19737)), _u19739) = hAPP(hAPP(c_List_Oappend(_u19738), hAPP(hAPP(c_List_Otake(_u19738), _u19736), _u19739)), hAPP(hAPP(c_List_Otake(_u19738), _u19737), hAPP(hAPP(c_List_Odrop(_u19738), _u19736), _u19739)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate1__length01 ( axiom ) converted to clauses:
% 27.68/27.91 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(_u19740)), _u19741)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u19740), _u19741) = _u19741) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__append2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__append2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19742, _u19743), _u19744), hAPP(hAPP(c_List_Oappend(_u19743), _u19745), _u19746)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u19742, _u19743)), hAPP(hAPP(c_List_Ozip(_u19742, _u19743), hAPP(hAPP(c_List_Otake(_u19742), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19743)), _u19745)), _u19744)), _u19745)), hAPP(hAPP(c_List_Ozip(_u19742, _u19743), hAPP(hAPP(c_List_Odrop(_u19742), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19743)), _u19745)), _u19744)), _u19746))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_zip__append1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_zip__append1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19747, _u19748), hAPP(hAPP(c_List_Oappend(_u19747), _u19749), _u19750)), _u19751) = hAPP(hAPP(c_List_Oappend(tc_prod(_u19747, _u19748)), hAPP(hAPP(c_List_Ozip(_u19747, _u19748), _u19749), hAPP(hAPP(c_List_Otake(_u19748), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19747)), _u19749)), _u19751))), hAPP(hAPP(c_List_Ozip(_u19747, _u19748), _u19750), hAPP(hAPP(c_List_Odrop(_u19748), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19747)), _u19749)), _u19751)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_id__take__nth__drop ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_id__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19752), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19753)), _u19754))) | ( _u19754 = hAPP(hAPP(c_List_Oappend(_u19753), hAPP(hAPP(c_List_Otake(_u19753), _u19752), _u19754)), hAPP(hAPP(c_List_Olist_OCons(_u19753), hAPP(hAPP(c_List_Onth(_u19753), _u19754), _u19752)), hAPP(hAPP(c_List_Odrop(_u19753), hAPP(c_Nat_OSuc, _u19752)), _u19754)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__hd__drop ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__hd__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19755), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19756)), _u19757))) | ( hAPP(hAPP(c_List_Oappend(_u19756), hAPP(hAPP(c_List_Otake(_u19756), _u19755), _u19757)), hAPP(hAPP(c_List_Olist_OCons(_u19756), hAPP(c_List_Ohd(_u19756), hAPP(hAPP(c_List_Odrop(_u19756), _u19755), _u19757))), c_List_Olist_ONil(_u19756))) = hAPP(hAPP(c_List_Otake(_u19756), hAPP(c_Nat_OSuc, _u19755)), _u19757)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_hd__drop__conv__nth ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_hd__drop__conv__nth-1, axiom, ( ( _u19758 = c_List_Olist_ONil(_u19759)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19760), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19759)), _u19758))) | ( hAPP(c_List_Ohd(_u19759), hAPP(hAPP(c_List_Odrop(_u19759), _u19760), _u19758)) = hAPP(hAPP(c_List_Onth(_u19759), _u19758), _u19760)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_hd__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_hd__map-1, axiom, ( ( _u19761 = c_List_Olist_ONil(_u19762)) | ( hAPP(c_List_Ohd(_u19763), hAPP(hAPP(c_List_Omap(_u19762, _u19763), _u19764), _u19761)) = hAPP(_u19764, hAPP(c_List_Ohd(_u19762), _u19761))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_hd_Osimps ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_hd_Osimps-1, axiom, ( ( hAPP(c_List_Ohd(_u19765), hAPP(hAPP(c_List_Olist_OCons(_u19765), _u19766), _u19767)) = _u19766) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_hd__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_hd__append-1, axiom, ( ( _u19771 != c_List_Olist_ONil(_u19773)) | ( hAPP(c_List_Ohd(_u19773), hAPP(hAPP(c_List_Oappend(_u19773), _u19771), _u19775)) = hAPP(c_List_Ohd(_u19773), _u19775)) )).
% 27.68/27.91 cnf(fact_hd__append-2, axiom, ( ( _u19772 = c_List_Olist_ONil(_u19774)) | ( hAPP(c_List_Ohd(_u19774), hAPP(hAPP(c_List_Oappend(_u19774), _u19772), _u19776)) = hAPP(c_List_Ohd(_u19774), _u19772)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_hd__append2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_hd__append2-1, axiom, ( ( _u19777 = c_List_Olist_ONil(_u19778)) | ( hAPP(c_List_Ohd(_u19778), hAPP(hAPP(c_List_Oappend(_u19778), _u19777), _u19779)) = hAPP(c_List_Ohd(_u19778), _u19777)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_hd__in__set ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_hd__in__set-1, axiom, ( ( _u19780 = c_List_Olist_ONil(_u19781)) | hBOOL(hAPP(hAPP(c_member(_u19781), hAPP(c_List_Ohd(_u19781), _u19780)), hAPP(c_List_Oset(_u19781), _u19780))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_hd__conv__nth ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_hd__conv__nth-1, axiom, ( ( _u19782 = c_List_Olist_ONil(_u19783)) | ( hAPP(c_List_Ohd(_u19783), _u19782) = hAPP(hAPP(c_List_Onth(_u19783), _u19782), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate1__hd__tl ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate1__hd__tl-1, axiom, ( ( _u19784 = c_List_Olist_ONil(_u19785)) | ( hAPP(c_List_Orotate1(_u19785), _u19784) = hAPP(hAPP(c_List_Oappend(_u19785), hAPP(c_List_Otl(_u19785), _u19784)), hAPP(hAPP(c_List_Olist_OCons(_u19785), hAPP(c_List_Ohd(_u19785), _u19784)), c_List_Olist_ONil(_u19785)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_hd__rotate__conv__nth ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_hd__rotate__conv__nth-1, axiom, ( ( _u19786 = c_List_Olist_ONil(_u19787)) | ( hAPP(c_List_Ohd(_u19787), hAPP(c_List_Orotate(_u19787, _u19788), _u19786)) = hAPP(hAPP(c_List_Onth(_u19787), _u19786), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19788, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19787)), _u19786)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__Suc ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19789), hAPP(c_Nat_OSuc, _u19790)), _u19791) = hAPP(hAPP(c_List_Odrop(_u19789), _u19790), hAPP(c_List_Otl(_u19789), _u19791))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_tl__drop ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_tl__drop-1, axiom, ( ( hAPP(c_List_Otl(_u19792), hAPP(hAPP(c_List_Odrop(_u19792), _u19793), _u19794)) = hAPP(hAPP(c_List_Odrop(_u19792), _u19793), hAPP(c_List_Otl(_u19792), _u19794))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_drop__tl ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_drop__tl-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19795), _u19796), hAPP(c_List_Otl(_u19795), _u19797)) = hAPP(c_List_Otl(_u19795), hAPP(hAPP(c_List_Odrop(_u19795), _u19796), _u19797))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_tl__append2 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_tl__append2-1, axiom, ( ( _u19798 = c_List_Olist_ONil(_u19799)) | ( hAPP(c_List_Otl(_u19799), hAPP(hAPP(c_List_Oappend(_u19799), _u19798), _u19800)) = hAPP(hAPP(c_List_Oappend(_u19799), hAPP(c_List_Otl(_u19799), _u19798)), _u19800)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate__conv__mod ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate__conv__mod-1, axiom, ( ( hAPP(c_List_Orotate(_u19801, _u19802), _u19803) = hAPP(c_List_Orotate(_u19801, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19802, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19801)), _u19803))), _u19803)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__rotate ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__rotate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19804)), hAPP(c_List_Orotate(_u19804, _u19805), _u19806)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19804)), _u19806)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_tl_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_tl_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Otl(_u19807), hAPP(hAPP(c_List_Olist_OCons(_u19807), _u19808), _u19809)) = _u19809) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_map__tl ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_map__tl-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19810, _u19811), _u19812), hAPP(c_List_Otl(_u19810), _u19813)) = hAPP(c_List_Otl(_u19811), hAPP(hAPP(c_List_Omap(_u19810, _u19811), _u19812), _u19813))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate__map-1, axiom, ( ( hAPP(c_List_Orotate(_u19814, _u19815), hAPP(hAPP(c_List_Omap(_u19816, _u19814), _u19817), _u19818)) = hAPP(hAPP(c_List_Omap(_u19816, _u19814), _u19817), hAPP(c_List_Orotate(_u19816, _u19815), _u19818))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_set__rotate ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_set__rotate-1, axiom, ( ( hAPP(c_List_Oset(_u19819), hAPP(c_List_Orotate(_u19819, _u19820), _u19821)) = hAPP(c_List_Oset(_u19819), _u19821)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__tl ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__tl-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19822), _u19823)) | hBOOL(hAPP(c_List_Odistinct(_u19822), hAPP(c_List_Otl(_u19822), _u19823))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_distinct__rotate ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_distinct__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19827), hAPP(c_List_Orotate(_u19827, _u19829), _u19831))) | hBOOL(hAPP(c_List_Odistinct(_u19827), _u19831)) )).
% 27.68/27.91 cnf(fact_distinct__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19828), _u19832)) | hBOOL(hAPP(c_List_Odistinct(_u19828), hAPP(c_List_Orotate(_u19828, _u19830), _u19832))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate__rotate ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate__rotate-1, axiom, ( ( hAPP(c_List_Orotate(_u19833, _u19834), hAPP(c_List_Orotate(_u19833, _u19835), _u19836)) = hAPP(c_List_Orotate(_u19833, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19834), _u19835)), _u19836)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate__is__Nil__conv ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate(_u19840, _u19842), _u19844) != c_List_Olist_ONil(_u19840)) | ( _u19844 = c_List_Olist_ONil(_u19840)) )).
% 27.68/27.91 cnf(fact_rotate__is__Nil__conv-2, axiom, ( ( _u19845 != c_List_Olist_ONil(_u19841)) | ( hAPP(c_List_Orotate(_u19841, _u19843), _u19845) = c_List_Olist_ONil(_u19841)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_tl_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_tl_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Otl(_u19846), c_List_Olist_ONil(_u19846)) = c_List_Olist_ONil(_u19846)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__tl ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__tl-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19847), _u19848), hAPP(c_List_Otl(_u19847), _u19849)) = hAPP(c_List_Otl(_u19847), hAPP(hAPP(c_List_Otake(_u19847), hAPP(c_Nat_OSuc, _u19848)), _u19849))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate__def ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate__def-1, axiom, ( ( c_List_Orotate(_u19850, _u19851) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u19850), tc_List_Olist(_u19850)), _u19851), c_List_Orotate1(_u19850))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate1__rotate__swap ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate1__rotate__swap-1, axiom, ( ( hAPP(c_List_Orotate1(_u19852), hAPP(c_List_Orotate(_u19852, _u19853), _u19854)) = hAPP(c_List_Orotate(_u19852, _u19853), hAPP(c_List_Orotate1(_u19852), _u19854))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate__Suc ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate__Suc-1, axiom, ( ( hAPP(c_List_Orotate(_u19855, hAPP(c_Nat_OSuc, _u19856)), _u19857) = hAPP(c_List_Orotate1(_u19855), hAPP(c_List_Orotate(_u19855, _u19856), _u19857))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_tl__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_tl__append-1, axiom, ( ( hAPP(c_List_Otl(_u19858), hAPP(hAPP(c_List_Oappend(_u19858), _u19859), _u19860)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u19858), _u19858, hAPP(c_List_Otl(_u19858), _u19860), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u19858), tc_List_Olist(_u19858)), _u19858), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19858), tc_List_Olist(_u19858), tc_List_Olist(_u19858)), c_List_Oappend(_u19858)), _u19860))), _u19859)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate0 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate0-1, axiom, ( ( c_List_Orotate(_u19861, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u19861))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate__add ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate__add-1, axiom, ( ( c_List_Orotate(_u19862, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19863), _u19864)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u19862), tc_List_Olist(_u19862), tc_List_Olist(_u19862), c_List_Orotate(_u19862, _u19863)), c_List_Orotate(_u19862, _u19864))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate__id ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate__id-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19865, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19866)), _u19867)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u19866, _u19865), _u19867) = _u19867) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate__length01 ( axiom ) converted to clauses:
% 27.68/27.91 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(_u19868)), _u19869)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u19868, _u19870), _u19869) = _u19869) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_length__tl ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_length__tl-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19871)), hAPP(c_List_Otl(_u19871), _u19872)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19871)), _u19872)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_tl__take ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_tl__take-1, axiom, ( ( hAPP(c_List_Otl(_u19873), hAPP(hAPP(c_List_Otake(_u19873), _u19874), _u19875)) = hAPP(hAPP(c_List_Otake(_u19873), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19874), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u19873), _u19875))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_take__Suc ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_take__Suc-1, axiom, ( ( _u19876 = c_List_Olist_ONil(_u19877)) | ( hAPP(hAPP(c_List_Otake(_u19877), hAPP(c_Nat_OSuc, _u19878)), _u19876) = hAPP(hAPP(c_List_Olist_OCons(_u19877), hAPP(c_List_Ohd(_u19877), _u19876)), hAPP(hAPP(c_List_Otake(_u19877), _u19878), hAPP(c_List_Otl(_u19877), _u19876)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_rotate__drop__take ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_rotate__drop__take-1, axiom, ( ( hAPP(c_List_Orotate(_u19879, _u19880), _u19881) = hAPP(hAPP(c_List_Oappend(_u19879), hAPP(hAPP(c_List_Odrop(_u19879), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19880, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19879)), _u19881))), _u19881)), hAPP(hAPP(c_List_Otake(_u19879), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19880, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19879)), _u19881))), _u19881))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_fold1__set ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_fold1__set-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u19882) | ( _u19883 = c_List_Olist_ONil(_u19882)) | ( hAPP(c_Finite__Set_Ofold1(_u19882, c_Groups_Otimes__class_Otimes(_u19882)), hAPP(c_List_Oset(_u19882), _u19883)) = hAPP(c_List_Ofoldl(_u19882, _u19882, c_Groups_Otimes__class_Otimes(_u19882), hAPP(c_List_Ohd(_u19882), _u19883)), hAPP(c_List_Otl(_u19882), _u19883))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list_Osize_I2_J ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list_Osize_I2_J-1, axiom, ( ( c_List_Olist_Olist__size(_u19884, _u19885, hAPP(hAPP(c_List_Olist_OCons(_u19884), _u19886), _u19887)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19885, _u19886)), c_List_Olist_Olist__size(_u19884, _u19885, _u19887))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_foldl__Nil ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_foldl__Nil-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19888, _u19889, _u19890, _u19891), c_List_Olist_ONil(_u19889)) = _u19891) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_foldr__conv__foldl ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_foldr__conv__foldl-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u19892) | ( c_List_Ofoldr(_u19892, _u19892, c_Groups_Oplus__class_Oplus(_u19892), _u19893, _u19894) = hAPP(c_List_Ofoldl(_u19892, _u19892, c_Groups_Oplus__class_Oplus(_u19892), _u19894), _u19893)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_foldl__absorb0 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_foldl__absorb0-1, axiom, ( ~class_Groups_Omonoid__add(_u19895) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19895), _u19896), hAPP(c_List_Ofoldl(_u19895, _u19895, c_Groups_Oplus__class_Oplus(_u19895), c_Groups_Ozero__class_Ozero(_u19895)), _u19897)) = hAPP(c_List_Ofoldl(_u19895, _u19895, c_Groups_Oplus__class_Oplus(_u19895), _u19896), _u19897)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_foldl__assoc ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_foldl__assoc-1, axiom, ( ~class_Groups_Osemigroup__add(_u19898) | ( hAPP(c_List_Ofoldl(_u19898, _u19898, c_Groups_Oplus__class_Oplus(_u19898), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19898), _u19899), _u19900)), _u19901) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19898), _u19899), hAPP(c_List_Ofoldl(_u19898, _u19898, c_Groups_Oplus__class_Oplus(_u19898), _u19900), _u19901))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_start__le__sum ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_start__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19902), _u19903)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19902), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19903), _u19904))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_foldl__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_foldl__map-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19905, _u19906, _u19907, _u19908), hAPP(hAPP(c_List_Omap(_u19909, _u19906), _u19910), _u19911)) = hAPP(c_List_Ofoldl(_u19905, _u19909, hAPP(hAPP(c_COMBC(_u19905, tc_fun(_u19909, _u19906), tc_fun(_u19909, _u19905)), hAPP(hAPP(c_COMBB(tc_fun(_u19906, _u19905), tc_fun(tc_fun(_u19909, _u19906), tc_fun(_u19909, _u19905)), _u19905), c_COMBB(_u19906, _u19905, _u19909)), _u19907)), _u19910), _u19908), _u19911)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_list__size__map ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_list__size__map-1, axiom, ( ( c_List_Olist_Olist__size(_u19912, _u19913, hAPP(hAPP(c_List_Omap(_u19914, _u19912), _u19915), _u19916)) = c_List_Olist_Olist__size(_u19914, hAPP(c_Fun_Ocomp(_u19912, tc_Nat_Onat, _u19914, _u19913), _u19915), _u19916)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_foldl__Cons ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_foldl__Cons-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19917, _u19918, _u19919, _u19920), hAPP(hAPP(c_List_Olist_OCons(_u19918), _u19921), _u19922)) = hAPP(c_List_Ofoldl(_u19917, _u19918, _u19919, hAPP(hAPP(_u19919, _u19920), _u19921)), _u19922)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_foldl__append ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_foldl__append-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19923, _u19924, _u19925, _u19926), hAPP(hAPP(c_List_Oappend(_u19924), _u19927), _u19928)) = hAPP(c_List_Ofoldl(_u19923, _u19924, _u19925, hAPP(c_List_Ofoldl(_u19923, _u19924, _u19925, _u19926), _u19927)), _u19928)) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_listsum__foldl ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_listsum__foldl-1, axiom, ( ~class_Groups_Omonoid__add(_u19929) | ( c_List_Omonoid__add__class_Olistsum(_u19929) = c_List_Ofoldl(_u19929, _u19929, c_Groups_Oplus__class_Oplus(_u19929), c_Groups_Ozero__class_Ozero(_u19929))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_foldl__foldr1__lemma ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_foldl__foldr1__lemma-1, axiom, ( ~class_Groups_Omonoid__add(_u19930) | ( hAPP(c_List_Ofoldl(_u19930, _u19930, c_Groups_Oplus__class_Oplus(_u19930), _u19931), _u19932) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19930), _u19931), c_List_Ofoldr(_u19930, _u19930, c_Groups_Oplus__class_Oplus(_u19930), _u19932, c_Groups_Ozero__class_Ozero(_u19930)))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_foldl__foldr1 ( axiom ) converted to clauses:
% 27.68/27.91 cnf(fact_foldl__foldr1-1, axiom, ( ~class_Groups_Omonoid__add(_u19933) | ( hAPP(c_List_Ofoldl(_u19933, _u19933, c_Groups_Oplus__class_Oplus(_u19933), c_Groups_Ozero__class_Ozero(_u19933)), _u19934) = c_List_Ofoldr(_u19933, _u19933, c_Groups_Oplus__class_Oplus(_u19933), _u19934, c_Groups_Ozero__class_Ozero(_u19933))) )).
% 27.68/27.91
% 27.68/27.91 % Formula: fact_sum__eq__0__conv ( axiom ) converted to clauses:
% 27.68/27.91 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), _u19939), _u19941) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19939 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.91 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), _u19939), _u19941) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19935), hAPP(c_List_Oset(tc_Nat_Onat), _u19941))) | ( _u19935 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 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), _u19940), _u19942) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19940 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem479(_u19942, _u19940)), hAPP(c_List_Oset(tc_Nat_Onat), _u19942))) )).
% 27.68/27.92 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), _u19940), _u19942) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19940 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem479(_u19942, _u19940) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_list_Osize_I1_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_list_Osize_I1_J-1, axiom, ( ( c_List_Olist_Olist__size(_u19943, _u19944, c_List_Olist_ONil(_u19943)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_fun__left__comm__idem_Ofold__set ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_fun__left__comm__idem_Ofold__set-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u19945, _u19946, _u19947) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19945, _u19946, _u19947), _u19948), hAPP(c_List_Oset(_u19945), _u19949)) = hAPP(c_List_Ofoldl(_u19946, _u19945, hAPP(c_COMBC(_u19945, _u19946, _u19946), _u19947), _u19948), _u19949)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_Sup__set__fold ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_Sup__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19950) | ( c_Complete__Lattice_OSup__class_OSup(_u19950, hAPP(c_List_Oset(_u19950), _u19951)) = hAPP(c_List_Ofoldl(_u19950, _u19950, c_Lattices_Osemilattice__sup__class_Osup(_u19950), c_Orderings_Obot__class_Obot(_u19950)), _u19951)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_Inf__set__fold ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_Inf__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19952) | ( c_Complete__Lattice_OInf__class_OInf(_u19952, hAPP(c_List_Oset(_u19952), _u19953)) = hAPP(c_List_Ofoldl(_u19952, _u19952, c_Lattices_Osemilattice__inf__class_Oinf(_u19952), c_Orderings_Otop__class_Otop(_u19952)), _u19953)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_Sup__fin__set__fold ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_Sup__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u19954) | ( c_Big__Operators_Olattice__class_OSup__fin(_u19954, hAPP(c_List_Oset(_u19954), hAPP(hAPP(c_List_Olist_OCons(_u19954), _u19955), _u19956))) = hAPP(c_List_Ofoldl(_u19954, _u19954, c_Lattices_Osemilattice__sup__class_Osup(_u19954), _u19955), _u19956)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_Inf__fin__set__fold ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_Inf__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u19957) | ( c_Big__Operators_Olattice__class_OInf__fin(_u19957, hAPP(c_List_Oset(_u19957), hAPP(hAPP(c_List_Olist_OCons(_u19957), _u19958), _u19959))) = hAPP(c_List_Ofoldl(_u19957, _u19957, c_Lattices_Osemilattice__inf__class_Oinf(_u19957), _u19958), _u19959)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_Min__fin__set__fold ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_Min__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u19960) | ( c_Big__Operators_Olinorder__class_OMin(_u19960, hAPP(c_List_Oset(_u19960), hAPP(hAPP(c_List_Olist_OCons(_u19960), _u19961), _u19962))) = hAPP(c_List_Ofoldl(_u19960, _u19960, c_Orderings_Oord__class_Omin(_u19960), _u19961), _u19962)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_Max__fin__set__fold ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_Max__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u19963) | ( c_Big__Operators_Olinorder__class_OMax(_u19963, hAPP(c_List_Oset(_u19963), hAPP(hAPP(c_List_Olist_OCons(_u19963), _u19964), _u19965))) = hAPP(c_List_Ofoldl(_u19963, _u19963, c_Orderings_Oord__class_Omax(_u19963), _u19964), _u19965)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_min__max_OInf__fin__set__fold ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_min__max_OInf__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u19966) | ( c_Big__Operators_Olattice_OInf__fin(_u19966, c_Orderings_Oord__class_Omin(_u19966), hAPP(c_List_Oset(_u19966), hAPP(hAPP(c_List_Olist_OCons(_u19966), _u19967), _u19968))) = hAPP(c_List_Ofoldl(_u19966, _u19966, c_Orderings_Oord__class_Omin(_u19966), _u19967), _u19968)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_min__max_OSup__fin__set__fold ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_min__max_OSup__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u19969) | ( c_Big__Operators_Olattice_OSup__fin(_u19969, c_Orderings_Oord__class_Omax(_u19969), hAPP(c_List_Oset(_u19969), hAPP(hAPP(c_List_Olist_OCons(_u19969), _u19970), _u19971))) = hAPP(c_List_Ofoldl(_u19969, _u19969, c_Orderings_Oord__class_Omax(_u19969), _u19970), _u19971)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_SUPR__set__fold ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_SUPR__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19972) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19973, _u19972), hAPP(c_List_Oset(_u19973), _u19974)), _u19975) = hAPP(c_List_Ofoldl(_u19972, _u19973, hAPP(c_COMBC(_u19973, _u19972, _u19972), hAPP(hAPP(c_COMBB(_u19972, tc_fun(_u19972, _u19972), _u19973), c_Lattices_Osemilattice__sup__class_Osup(_u19972)), _u19975)), c_Orderings_Obot__class_Obot(_u19972)), _u19974)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_INFI__set__fold ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_INFI__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19976) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19977, _u19976), hAPP(c_List_Oset(_u19977), _u19978)), _u19979) = hAPP(c_List_Ofoldl(_u19976, _u19977, hAPP(c_COMBC(_u19977, _u19976, _u19976), hAPP(hAPP(c_COMBB(_u19976, tc_fun(_u19976, _u19976), _u19977), c_Lattices_Osemilattice__inf__class_Oinf(_u19976)), _u19979)), c_Orderings_Otop__class_Otop(_u19976)), _u19978)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_list__size__estimation ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_list__size__estimation-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19980), _u19981), hAPP(c_List_Oset(_u19980), _u19982))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19983), hAPP(_u19984, _u19981))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19983), c_List_Olist_Olist__size(_u19980, _u19984, _u19982))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_list__size__estimation_H ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_list__size__estimation_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19985), _u19986), hAPP(c_List_Oset(_u19985), _u19987))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19988), hAPP(_u19989, _u19986))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19988), c_List_Olist_Olist__size(_u19985, _u19989, _u19987))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_map__upds__fold__map__upd ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_map__upds__fold__map__upd-1, axiom, ( ( c_Map_Omap__upds(_u19990, _u19991, _u19992, _u19993, _u19994) = hAPP(c_List_Ofoldl(tc_fun(_u19990, tc_Option_Ooption(_u19991)), tc_prod(_u19990, _u19991), hAPP(hAPP(c_COMBB(tc_fun(_u19990, tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991)))), tc_fun(tc_prod(_u19990, _u19991), tc_fun(_u19990, tc_Option_Ooption(_u19991))), tc_fun(_u19990, tc_Option_Ooption(_u19991))), c_Product__Type_Oprod_Oprod__case(_u19990, _u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991)))), hAPP(hAPP(c_COMBC(tc_fun(_u19990, tc_Option_Ooption(_u19991)), tc_fun(_u19991, tc_Option_Ooption(_u19991)), tc_fun(_u19990, tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991))))), hAPP(hAPP(c_COMBB(tc_fun(_u19990, tc_fun(tc_fun(_u19991, tc_Option_Ooption(_u19991)), tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991))))), tc_fun(tc_fun(_u19991, tc_Option_Ooption(_u19991)), tc_fun(_u19990, tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991))))), tc_fun(_u19990, tc_Option_Ooption(_u19991))), c_COMBC(_u19990, tc_fun(_u19991, tc_Option_Ooption(_u19991)), tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991))))), hAPP(hAPP(c_COMBB(tc_fun(_u19990, tc_fun(tc_Option_Ooption(_u19991), tc_fun(_u19990, tc_Option_Ooption(_u19991)))), tc_fun(_u19990, tc_fun(tc_fun(_u19991, tc_Option_Ooption(_u19991)), tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991))))), tc_fun(_u19990, tc_Option_Ooption(_u19991))), hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u19991), tc_fun(_u19990, tc_Option_Ooption(_u19991))), tc_fun(tc_fun(_u19991, tc_Option_Ooption(_u19991)), tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991)))), _u19990), c_COMBB(tc_Option_Ooption(_u19991), tc_fun(_u19990, tc_Option_Ooption(_u19991)), _u19991))), c_Fun_Ofun__upd(_u19990, tc_Option_Ooption(_u19991))))), c_Option_Ooption_OSome(_u19991))), _u19992), hAPP(hAPP(c_List_Ozip(_u19990, _u19991), _u19993), _u19994))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_elem__le__sum ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_elem__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19995), hAPP(c_List_Oset(tc_Nat_Onat), _u19996))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19995), 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)), _u19996))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_list__size__conv__listsum ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_list__size__conv__listsum-1, axiom, ( ( c_List_Olist_Olist__size(_u19997, _u19998, _u19999) = 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(_u19997, tc_Nat_Onat), _u19998), _u19999))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19997)), _u19999))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_listrel__subset ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_listrel__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20000, _u20000), tc_HOL_Obool)), _u20001), hAPP(hAPP(c_Product__Type_OSigma(_u20000, _u20000), _u20002), hAPP(c_COMBK(tc_fun(_u20000, tc_HOL_Obool), _u20000), _u20002)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u20000), tc_List_Olist(_u20000)), tc_HOL_Obool)), c_List_Olistrel(_u20000, _u20001)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u20000), tc_List_Olist(_u20000)), c_List_Olists(_u20000, _u20002)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20000), tc_HOL_Obool), tc_List_Olist(_u20000)), c_List_Olists(_u20000, _u20002))))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_lists__accI ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_lists__accI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20003)), _u20004), c_Wellfounded_Oacc(tc_List_Olist(_u20003), c_List_Olistrel1(_u20003, _u20005)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20003)), _u20004), c_List_Olists(_u20003, c_Wellfounded_Oacc(_u20003, _u20005)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_lists_ONil ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_lists_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20006)), c_List_Olist_ONil(_u20006)), c_List_Olists(_u20006, _u20007))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_listrel__refl__on ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_listrel__refl__on-1, axiom, ( ~c_Relation_Orefl__on(_u20008, _u20009, _u20010) | c_Relation_Orefl__on(tc_List_Olist(_u20008), c_List_Olists(_u20008, _u20009), c_List_Olistrel(_u20008, _u20010)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_equiv__listrel ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_equiv__listrel-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u20011, _u20012, _u20013) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u20011), c_List_Olists(_u20011, _u20012), c_List_Olistrel(_u20011, _u20013)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_append__in__lists__conv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_append__in__lists__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20018)), hAPP(hAPP(c_List_Oappend(_u20018), _u20020), _u20022)), c_List_Olists(_u20018, _u20024))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20018)), _u20020), c_List_Olists(_u20018, _u20024))) )).
% 27.68/27.92 cnf(fact_append__in__lists__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20018)), hAPP(hAPP(c_List_Oappend(_u20018), _u20020), _u20022)), c_List_Olists(_u20018, _u20024))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20018)), _u20022), c_List_Olists(_u20018, _u20024))) )).
% 27.68/27.92 cnf(fact_append__in__lists__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20019)), _u20021), c_List_Olists(_u20019, _u20025))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20019)), _u20023), c_List_Olists(_u20019, _u20025))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20019)), hAPP(hAPP(c_List_Oappend(_u20019), _u20021), _u20023)), c_List_Olists(_u20019, _u20025))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_lists__mono ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_lists__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20026, tc_HOL_Obool)), _u20027), _u20028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u20026), tc_HOL_Obool)), c_List_Olists(_u20026, _u20027)), c_List_Olists(_u20026, _u20028))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_lists__UNIV ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_lists__UNIV-1, axiom, ( ( c_List_Olists(_u20029, c_Orderings_Otop__class_Otop(tc_fun(_u20029, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u20029), tc_HOL_Obool))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_Cons__in__lists__iff ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_Cons__in__lists__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20034)), hAPP(hAPP(c_List_Olist_OCons(_u20034), _u20036), _u20038)), c_List_Olists(_u20034, _u20040))) | hBOOL(hAPP(hAPP(c_member(_u20034), _u20036), _u20040)) )).
% 27.68/27.92 cnf(fact_Cons__in__lists__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20034)), hAPP(hAPP(c_List_Olist_OCons(_u20034), _u20036), _u20038)), c_List_Olists(_u20034, _u20040))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20034)), _u20038), c_List_Olists(_u20034, _u20040))) )).
% 27.68/27.92 cnf(fact_Cons__in__lists__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20035), _u20037), _u20041)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20035)), _u20039), c_List_Olists(_u20035, _u20041))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20035)), hAPP(hAPP(c_List_Olist_OCons(_u20035), _u20037), _u20039)), c_List_Olists(_u20035, _u20041))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_in__lists__conv__set ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_in__lists__conv__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20047)), _u20049), c_List_Olists(_u20047, _u20051))) | ~hBOOL(hAPP(hAPP(c_member(_u20047), _u20042), hAPP(c_List_Oset(_u20047), _u20049))) | hBOOL(hAPP(hAPP(c_member(_u20047), _u20042), _u20051)) )).
% 27.68/27.92 cnf(fact_in__lists__conv__set-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20048)), _u20050), c_List_Olists(_u20048, _u20052))) | hBOOL(hAPP(hAPP(c_member(_u20048), skolem480(_u20052, _u20050, _u20048)), hAPP(c_List_Oset(_u20048), _u20050))) )).
% 27.68/27.92 cnf(fact_in__lists__conv__set-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20048)), _u20050), c_List_Olists(_u20048, _u20052))) | ~hBOOL(hAPP(hAPP(c_member(_u20048), skolem480(_u20052, _u20050, _u20048)), _u20052)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_lists__eq__set ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_lists__eq__set-1, axiom, ( ( c_List_Olists(_u20053, _u20054) = hAPP(c_Set_OCollect(tc_List_Olist(_u20053)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20053), tc_fun(_u20053, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u20053, tc_HOL_Obool), tc_fun(tc_fun(_u20053, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u20053)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u20053, tc_HOL_Obool))), c_List_Oset(_u20053))), _u20054))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_lists__empty ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_lists__empty-1, axiom, ( ( c_List_Olists(_u20055, c_Orderings_Obot__class_Obot(tc_fun(_u20055, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u20055)), c_List_Olist_ONil(_u20055)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u20055), tc_HOL_Obool)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_lists__accD ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_lists__accD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20056)), _u20057), c_List_Olists(_u20056, c_Wellfounded_Oacc(_u20056, _u20058)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20056)), _u20057), c_Wellfounded_Oacc(tc_List_Olist(_u20056), c_List_Olistrel1(_u20056, _u20058)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_lexord__append__rightI ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_lexord__append__rightI-1, axiom, ( ( _u20061 != hAPP(hAPP(c_List_Olist_OCons(_u20062), _u20060), _u20059)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20062), tc_List_Olist(_u20062))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20062), tc_List_Olist(_u20062)), _u20063), hAPP(hAPP(c_List_Oappend(_u20062), _u20063), _u20061))), c_List_Olexord(_u20062, _u20064))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_lexord__Nil__left ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_lexord__Nil__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20072), tc_List_Olist(_u20072))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20072), tc_List_Olist(_u20072)), c_List_Olist_ONil(_u20072)), _u20074)), c_List_Olexord(_u20072, _u20076))) | ( _u20074 = hAPP(hAPP(c_List_Olist_OCons(_u20072), skolem481(_u20076, _u20074, _u20072)), skolem482(_u20076, _u20074, _u20072))) )).
% 27.68/27.92 cnf(fact_lexord__Nil__left-2, axiom, ( ( _u20075 != hAPP(hAPP(c_List_Olist_OCons(_u20073), _u20068), _u20067)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20073), tc_List_Olist(_u20073))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20073), tc_List_Olist(_u20073)), c_List_Olist_ONil(_u20073)), _u20075)), c_List_Olexord(_u20073, _u20077))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last__list__update ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last__list__update-1, axiom, ( ( _u20078 = c_List_Olist_ONil(_u20079)) | ( _u20080 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20079)), _u20078)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u20079, hAPP(hAPP(c_List_Olist__update(_u20079, _u20078), _u20080), _u20081)) = _u20081) )).
% 27.68/27.92 cnf(fact_last__list__update-2, axiom, ( ( _u20078 = c_List_Olist_ONil(_u20079)) | ( _u20080 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20079)), _u20078)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u20079, hAPP(hAPP(c_List_Olist__update(_u20079, _u20078), _u20080), _u20081)) = c_List_Olast(_u20079, _u20078)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_listsum__mono ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_listsum__mono-1, axiom, ( ~class_Groups_Omonoid__add(_u20083) | ~class_Groups_Oordered__ab__semigroup__add(_u20083) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20083), hAPP(c_List_Omonoid__add__class_Olistsum(_u20083), hAPP(hAPP(c_List_Omap(_u20084, _u20083), _u20086), _u20085))), hAPP(c_List_Omonoid__add__class_Olistsum(_u20083), hAPP(hAPP(c_List_Omap(_u20084, _u20083), _u20087), _u20085)))) | hBOOL(hAPP(hAPP(c_member(_u20084), skolem483(_u20087, _u20086, _u20085, _u20084, _u20083)), hAPP(c_List_Oset(_u20084), _u20085))) )).
% 27.68/27.92 cnf(fact_listsum__mono-2, axiom, ( ~class_Groups_Omonoid__add(_u20083) | ~class_Groups_Oordered__ab__semigroup__add(_u20083) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20083), hAPP(c_List_Omonoid__add__class_Olistsum(_u20083), hAPP(hAPP(c_List_Omap(_u20084, _u20083), _u20086), _u20085))), hAPP(c_List_Omonoid__add__class_Olistsum(_u20083), hAPP(hAPP(c_List_Omap(_u20084, _u20083), _u20087), _u20085)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20083), hAPP(_u20086, skolem483(_u20087, _u20086, _u20085, _u20084, _u20083))), hAPP(_u20087, skolem483(_u20087, _u20086, _u20085, _u20084, _u20083)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last__appendL ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last__appendL-1, axiom, ( ( _u20088 != c_List_Olist_ONil(_u20089)) | ( c_List_Olast(_u20089, hAPP(hAPP(c_List_Oappend(_u20089), _u20090), _u20088)) = c_List_Olast(_u20089, _u20090)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last__appendR ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last__appendR-1, axiom, ( ( _u20091 = c_List_Olist_ONil(_u20092)) | ( c_List_Olast(_u20092, hAPP(hAPP(c_List_Oappend(_u20092), _u20093), _u20091)) = c_List_Olast(_u20092, _u20091)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last__append ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last__append-1, axiom, ( ( _u20097 != c_List_Olist_ONil(_u20099)) | ( c_List_Olast(_u20099, hAPP(hAPP(c_List_Oappend(_u20099), _u20101), _u20097)) = c_List_Olast(_u20099, _u20101)) )).
% 27.68/27.92 cnf(fact_last__append-2, axiom, ( ( _u20098 = c_List_Olist_ONil(_u20100)) | ( c_List_Olast(_u20100, hAPP(hAPP(c_List_Oappend(_u20100), _u20102), _u20098)) = c_List_Olast(_u20100, _u20098)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last__ConsL ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last__ConsL-1, axiom, ( ( _u20103 != c_List_Olist_ONil(_u20104)) | ( c_List_Olast(_u20104, hAPP(hAPP(c_List_Olist_OCons(_u20104), _u20105), _u20103)) = _u20105) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last__ConsR ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last__ConsR-1, axiom, ( ( _u20106 = c_List_Olist_ONil(_u20107)) | ( c_List_Olast(_u20107, hAPP(hAPP(c_List_Olist_OCons(_u20107), _u20108), _u20106)) = c_List_Olast(_u20107, _u20106)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last_Osimps ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last_Osimps-1, axiom, ( ( _u20112 != c_List_Olist_ONil(_u20114)) | ( c_List_Olast(_u20114, hAPP(hAPP(c_List_Olist_OCons(_u20114), _u20116), _u20112)) = _u20116) )).
% 27.68/27.92 cnf(fact_last_Osimps-2, axiom, ( ( _u20113 = c_List_Olist_ONil(_u20115)) | ( c_List_Olast(_u20115, hAPP(hAPP(c_List_Olist_OCons(_u20115), _u20117), _u20113)) = c_List_Olast(_u20115, _u20113)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last__map ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last__map-1, axiom, ( ( _u20118 = c_List_Olist_ONil(_u20119)) | ( c_List_Olast(_u20120, hAPP(hAPP(c_List_Omap(_u20119, _u20120), _u20121), _u20118)) = hAPP(_u20121, c_List_Olast(_u20119, _u20118))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last__in__set ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last__in__set-1, axiom, ( ( _u20122 = c_List_Olist_ONil(_u20123)) | hBOOL(hAPP(hAPP(c_member(_u20123), c_List_Olast(_u20123, _u20122)), hAPP(c_List_Oset(_u20123), _u20122))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last__snoc ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last__snoc-1, axiom, ( ( c_List_Olast(_u20124, hAPP(hAPP(c_List_Oappend(_u20124), _u20125), hAPP(hAPP(c_List_Olist_OCons(_u20124), _u20126), c_List_Olist_ONil(_u20124)))) = _u20126) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last__drop ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20127), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20128)), _u20129))) | ( c_List_Olast(_u20128, hAPP(hAPP(c_List_Odrop(_u20128), _u20127), _u20129)) = c_List_Olast(_u20128, _u20129)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last__conv__nth ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last__conv__nth-1, axiom, ( ( _u20130 = c_List_Olist_ONil(_u20131)) | ( c_List_Olast(_u20131, _u20130) = hAPP(hAPP(c_List_Onth(_u20131), _u20130), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20131)), _u20130)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_lexord__linear ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_lexord__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20134), tc_List_Olist(_u20134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20134), tc_List_Olist(_u20134)), _u20136), _u20137)), c_List_Olexord(_u20134, _u20135))) | ( _u20136 = _u20137) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20134), tc_List_Olist(_u20134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20134), tc_List_Olist(_u20134)), _u20137), _u20136)), c_List_Olexord(_u20134, _u20135))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20134, _u20134)), hAPP(hAPP(c_Product__Type_OPair(_u20134, _u20134), skolem484(_u20137, _u20136, _u20135, _u20134)), skolem485(_u20137, _u20136, _u20135, _u20134))), _u20135)) )).
% 27.68/27.92 cnf(fact_lexord__linear-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20134), tc_List_Olist(_u20134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20134), tc_List_Olist(_u20134)), _u20136), _u20137)), c_List_Olexord(_u20134, _u20135))) | ( _u20136 = _u20137) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20134), tc_List_Olist(_u20134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20134), tc_List_Olist(_u20134)), _u20137), _u20136)), c_List_Olexord(_u20134, _u20135))) | ( skolem484(_u20137, _u20136, _u20135, _u20134) != skolem485(_u20137, _u20136, _u20135, _u20134)) )).
% 27.68/27.92 cnf(fact_lexord__linear-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20134), tc_List_Olist(_u20134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20134), tc_List_Olist(_u20134)), _u20136), _u20137)), c_List_Olexord(_u20134, _u20135))) | ( _u20136 = _u20137) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20134), tc_List_Olist(_u20134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20134), tc_List_Olist(_u20134)), _u20137), _u20136)), c_List_Olexord(_u20134, _u20135))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20134, _u20134)), hAPP(hAPP(c_Product__Type_OPair(_u20134, _u20134), skolem485(_u20137, _u20136, _u20135, _u20134)), skolem484(_u20137, _u20136, _u20135, _u20134))), _u20135)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_lexord__irreflexive ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_lexord__irreflexive-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u20139, _u20139)), hAPP(hAPP(c_Product__Type_OPair(_u20139, _u20139), skolem486(_u20141, _u20140, _u20139)), skolem486(_u20141, _u20140, _u20139))), _u20140)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20139), tc_List_Olist(_u20139))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20139), tc_List_Olist(_u20139)), _u20141), _u20141)), c_List_Olexord(_u20139, _u20140))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_lists_Osimps ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_lists_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20149)), _u20151), c_List_Olists(_u20149, _u20153))) | ( _u20151 = c_List_Olist_ONil(_u20149)) | hBOOL(hAPP(hAPP(c_member(_u20149), skolem487(_u20153, _u20151, _u20149)), _u20153)) )).
% 27.68/27.92 cnf(fact_lists_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20149)), _u20151), c_List_Olists(_u20149, _u20153))) | ( _u20151 = c_List_Olist_ONil(_u20149)) | ( _u20151 = hAPP(hAPP(c_List_Olist_OCons(_u20149), skolem487(_u20153, _u20151, _u20149)), skolem488(_u20153, _u20151, _u20149))) )).
% 27.68/27.92 cnf(fact_lists_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20149)), _u20151), c_List_Olists(_u20149, _u20153))) | ( _u20151 = c_List_Olist_ONil(_u20149)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20149)), skolem488(_u20153, _u20151, _u20149)), c_List_Olists(_u20149, _u20153))) )).
% 27.68/27.92 cnf(fact_lists_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20150)), _u20152), c_List_Olists(_u20150, _u20154))) | ( _u20152 != c_List_Olist_ONil(_u20150)) )).
% 27.68/27.92 cnf(fact_lists_Osimps-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20150)), _u20152), c_List_Olists(_u20150, _u20154))) | ~hBOOL(hAPP(hAPP(c_member(_u20150), _u20145), _u20154)) | ( _u20152 != hAPP(hAPP(c_List_Olist_OCons(_u20150), _u20145), _u20144)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20150)), _u20144), c_List_Olists(_u20150, _u20154))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_list__size__pointwise ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_list__size__pointwise-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u20156, _u20158, _u20157)), c_List_Olist_Olist__size(_u20156, _u20159, _u20157))) | hBOOL(hAPP(hAPP(c_member(_u20156), skolem489(_u20159, _u20158, _u20157, _u20156)), hAPP(c_List_Oset(_u20156), _u20157))) )).
% 27.68/27.92 cnf(fact_list__size__pointwise-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u20156, _u20158, _u20157)), c_List_Olist_Olist__size(_u20156, _u20159, _u20157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u20158, skolem489(_u20159, _u20158, _u20157, _u20156))), hAPP(_u20159, skolem489(_u20159, _u20158, _u20157, _u20156)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_butlast__take ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_butlast__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20160), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20161)), _u20162))) | ( c_List_Obutlast(_u20161, hAPP(hAPP(c_List_Otake(_u20161), _u20160), _u20162)) = hAPP(hAPP(c_List_Otake(_u20161), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20160), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20162)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_nth__take__lemma ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_nth__take__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20164), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20165)), _u20166))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20164), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20165)), _u20167))) | ( hAPP(hAPP(c_List_Otake(_u20165), _u20164), _u20166) = hAPP(hAPP(c_List_Otake(_u20165), _u20164), _u20167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem490(_u20167, _u20166, _u20165, _u20164)), _u20164)) )).
% 27.68/27.92 cnf(fact_nth__take__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20164), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20165)), _u20166))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20164), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20165)), _u20167))) | ( hAPP(hAPP(c_List_Otake(_u20165), _u20164), _u20166) = hAPP(hAPP(c_List_Otake(_u20165), _u20164), _u20167)) | ( hAPP(hAPP(c_List_Onth(_u20165), _u20166), skolem490(_u20167, _u20166, _u20165, _u20164)) != hAPP(hAPP(c_List_Onth(_u20165), _u20167), skolem490(_u20167, _u20166, _u20165, _u20164))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_map__butlast ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_map__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u20168, _u20169), _u20170), c_List_Obutlast(_u20168, _u20171)) = c_List_Obutlast(_u20169, hAPP(hAPP(c_List_Omap(_u20168, _u20169), _u20170), _u20171))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_distinct__butlast ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_distinct__butlast-1, axiom, ( ( _u20172 = c_List_Olist_ONil(_u20173)) | ~hBOOL(hAPP(c_List_Odistinct(_u20173), _u20172)) | hBOOL(hAPP(c_List_Odistinct(_u20173), c_List_Obutlast(_u20173, _u20172))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_butlast_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_butlast_Osimps_I1_J-1, axiom, ( ( c_List_Obutlast(_u20174, c_List_Olist_ONil(_u20174)) = c_List_Olist_ONil(_u20174)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_in__set__butlastD ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_in__set__butlastD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20175), _u20176), hAPP(c_List_Oset(_u20175), c_List_Obutlast(_u20175, _u20177)))) | hBOOL(hAPP(hAPP(c_member(_u20175), _u20176), hAPP(c_List_Oset(_u20175), _u20177))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_butlast_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_butlast_Osimps_I2_J-1, axiom, ( ( _u20181 != c_List_Olist_ONil(_u20183)) | ( c_List_Obutlast(_u20183, hAPP(hAPP(c_List_Olist_OCons(_u20183), _u20185), _u20181)) = c_List_Olist_ONil(_u20183)) )).
% 27.68/27.92 cnf(fact_butlast_Osimps_I2_J-2, axiom, ( ( _u20182 = c_List_Olist_ONil(_u20184)) | ( c_List_Obutlast(_u20184, hAPP(hAPP(c_List_Olist_OCons(_u20184), _u20186), _u20182)) = hAPP(hAPP(c_List_Olist_OCons(_u20184), _u20186), c_List_Obutlast(_u20184, _u20182))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_butlast__append ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_butlast__append-1, axiom, ( ( _u20190 != c_List_Olist_ONil(_u20192)) | ( c_List_Obutlast(_u20192, hAPP(hAPP(c_List_Oappend(_u20192), _u20194), _u20190)) = c_List_Obutlast(_u20192, _u20194)) )).
% 27.68/27.92 cnf(fact_butlast__append-2, axiom, ( ( _u20191 = c_List_Olist_ONil(_u20193)) | ( c_List_Obutlast(_u20193, hAPP(hAPP(c_List_Oappend(_u20193), _u20195), _u20191)) = hAPP(hAPP(c_List_Oappend(_u20193), _u20195), c_List_Obutlast(_u20193, _u20191))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_drop__butlast ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_drop__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u20196), _u20197), c_List_Obutlast(_u20196, _u20198)) = c_List_Obutlast(_u20196, hAPP(hAPP(c_List_Odrop(_u20196), _u20197), _u20198))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_butlast__drop ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_butlast__drop-1, axiom, ( ( c_List_Obutlast(_u20199, hAPP(hAPP(c_List_Odrop(_u20199), _u20200), _u20201)) = hAPP(hAPP(c_List_Odrop(_u20199), _u20200), c_List_Obutlast(_u20199, _u20201))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_in__set__butlast__appendI ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_in__set__butlast__appendI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u20202), _u20203), hAPP(c_List_Oset(_u20202), c_List_Obutlast(_u20202, hAPP(hAPP(c_List_Oappend(_u20202), _u20204), _u20205))))) | ~hBOOL(hAPP(hAPP(c_member(_u20202), _u20203), hAPP(c_List_Oset(_u20202), c_List_Obutlast(_u20202, _u20204)))) )).
% 27.68/27.92 cnf(fact_in__set__butlast__appendI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u20202), _u20203), hAPP(c_List_Oset(_u20202), c_List_Obutlast(_u20202, hAPP(hAPP(c_List_Oappend(_u20202), _u20204), _u20205))))) | ~hBOOL(hAPP(hAPP(c_member(_u20202), _u20203), hAPP(c_List_Oset(_u20202), c_List_Obutlast(_u20202, _u20205)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_butlast__snoc ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_butlast__snoc-1, axiom, ( ( c_List_Obutlast(_u20206, hAPP(hAPP(c_List_Oappend(_u20206), _u20207), hAPP(hAPP(c_List_Olist_OCons(_u20206), _u20208), c_List_Olist_ONil(_u20206)))) = _u20207) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_take__butlast ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_take__butlast-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20209), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20210)), _u20211))) | ( hAPP(hAPP(c_List_Otake(_u20210), _u20209), c_List_Obutlast(_u20210, _u20211)) = hAPP(hAPP(c_List_Otake(_u20210), _u20209), _u20211)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_length__butlast ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_length__butlast-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20212)), c_List_Obutlast(_u20212, _u20213)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20212)), _u20213)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_butlast__conv__take ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_butlast__conv__take-1, axiom, ( ( c_List_Obutlast(_u20214, _u20215) = hAPP(hAPP(c_List_Otake(_u20214), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20214)), _u20215)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20215)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_butlast__list__update ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_butlast__list__update-1, axiom, ( ( _u20220 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20222)), _u20224)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u20222, hAPP(hAPP(c_List_Olist__update(_u20222, _u20224), _u20220), _u20226)) = c_List_Obutlast(_u20222, _u20224)) )).
% 27.68/27.92 cnf(fact_butlast__list__update-2, axiom, ( ( _u20221 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20223)), _u20225)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u20223, hAPP(hAPP(c_List_Olist__update(_u20223, _u20225), _u20221), _u20227)) = hAPP(hAPP(c_List_Olist__update(_u20223, c_List_Obutlast(_u20223, _u20225)), _u20221), _u20227)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_snoc__eq__iff__butlast ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_snoc__eq__iff__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20232), _u20234), hAPP(hAPP(c_List_Olist_OCons(_u20232), _u20236), c_List_Olist_ONil(_u20232))) != _u20238) | ( _u20238 != c_List_Olist_ONil(_u20232)) )).
% 27.68/27.92 cnf(fact_snoc__eq__iff__butlast-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20232), _u20234), hAPP(hAPP(c_List_Olist_OCons(_u20232), _u20236), c_List_Olist_ONil(_u20232))) != _u20238) | ( c_List_Obutlast(_u20232, _u20238) = _u20234) )).
% 27.68/27.92 cnf(fact_snoc__eq__iff__butlast-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20232), _u20234), hAPP(hAPP(c_List_Olist_OCons(_u20232), _u20236), c_List_Olist_ONil(_u20232))) != _u20238) | ( c_List_Olast(_u20232, _u20238) = _u20236) )).
% 27.68/27.92 cnf(fact_snoc__eq__iff__butlast-4, axiom, ( ( _u20239 = c_List_Olist_ONil(_u20233)) | ( c_List_Obutlast(_u20233, _u20239) != _u20235) | ( c_List_Olast(_u20233, _u20239) != _u20237) | ( hAPP(hAPP(c_List_Oappend(_u20233), _u20235), hAPP(hAPP(c_List_Olist_OCons(_u20233), _u20237), c_List_Olist_ONil(_u20233))) = _u20239) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_append__butlast__last__id ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_append__butlast__last__id-1, axiom, ( ( _u20240 = c_List_Olist_ONil(_u20241)) | ( hAPP(hAPP(c_List_Oappend(_u20241), c_List_Obutlast(_u20241, _u20240)), hAPP(hAPP(c_List_Olist_OCons(_u20241), c_List_Olast(_u20241, _u20240)), c_List_Olist_ONil(_u20241))) = _u20240) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose__aux__max ( axiom ) converted to clauses:
% 27.68/27.92 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(_u20242)), _u20243))), c_List_Ofoldr(tc_List_Olist(_u20244), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20244)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20244))), _u20245, 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(_u20242)), _u20243)), c_List_Ofoldr(tc_List_Olist(_u20244), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20244)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20244), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20244)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20244)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u20244), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20244)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20244), tc_List_Olist(_u20244), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20244)))), _u20245), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_partition__set ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_partition__set-1, axiom, ( ( c_List_Opartition(_u20246, _u20247, _u20248) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20246), tc_List_Olist(_u20246)), _u20249), _u20250)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20246, tc_HOL_Obool)), hAPP(c_List_Oset(_u20246), _u20249)), hAPP(c_List_Oset(_u20246), _u20250)) = hAPP(c_List_Oset(_u20246), _u20248)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_length__filter__map ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_length__filter__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20251)), hAPP(c_List_Ofilter(_u20251, _u20252), hAPP(hAPP(c_List_Omap(_u20253, _u20251), _u20254), _u20255))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20253)), hAPP(c_List_Ofilter(_u20253, hAPP(c_Fun_Ocomp(_u20251, tc_HOL_Obool, _u20253, _u20252), _u20254)), _u20255))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_filter__is__subset ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_filter__is__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20256, tc_HOL_Obool)), hAPP(c_List_Oset(_u20256), hAPP(c_List_Ofilter(_u20256, _u20257), _u20258))), hAPP(c_List_Oset(_u20256), _u20258))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_length__filter__le ( axiom ) converted to clauses:
% 27.68/27.92 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(_u20259)), hAPP(c_List_Ofilter(_u20259, _u20260), _u20261))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20259)), _u20261))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_filter__append ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_filter__append-1, axiom, ( ( hAPP(c_List_Ofilter(_u20262, _u20263), hAPP(hAPP(c_List_Oappend(_u20262), _u20264), _u20265)) = hAPP(hAPP(c_List_Oappend(_u20262), hAPP(c_List_Ofilter(_u20262, _u20263), _u20264)), hAPP(c_List_Ofilter(_u20262, _u20263), _u20265))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sum__length__filter__compl ( axiom ) converted to clauses:
% 27.68/27.92 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(_u20266)), hAPP(c_List_Ofilter(_u20266, _u20267), _u20268))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20266)), hAPP(c_List_Ofilter(_u20266, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20266), c_fNot), _u20267)), _u20268))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20266)), _u20268)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_filter_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_filter_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u20273, _u20275)) | ( hAPP(c_List_Ofilter(_u20277, _u20273), hAPP(hAPP(c_List_Olist_OCons(_u20277), _u20275), _u20279)) = hAPP(hAPP(c_List_Olist_OCons(_u20277), _u20275), hAPP(c_List_Ofilter(_u20277, _u20273), _u20279))) )).
% 27.68/27.92 cnf(fact_filter_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u20274, _u20276)) | ( hAPP(c_List_Ofilter(_u20278, _u20274), hAPP(hAPP(c_List_Olist_OCons(_u20278), _u20276), _u20280)) = hAPP(c_List_Ofilter(_u20278, _u20274), _u20280)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_filter__id__conv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_filter__id__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u20286, _u20288), _u20290) != _u20290) | ~hBOOL(hAPP(hAPP(c_member(_u20286), _u20281), hAPP(c_List_Oset(_u20286), _u20290))) | hBOOL(hAPP(_u20288, _u20281)) )).
% 27.68/27.92 cnf(fact_filter__id__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u20287, _u20289), _u20291) = _u20291) | hBOOL(hAPP(hAPP(c_member(_u20287), skolem491(_u20291, _u20289, _u20287)), hAPP(c_List_Oset(_u20287), _u20291))) )).
% 27.68/27.92 cnf(fact_filter__id__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u20287, _u20289), _u20291) = _u20291) | ~hBOOL(hAPP(_u20289, skolem491(_u20291, _u20289, _u20287))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_filter__insort__triv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_filter__insort__triv-1, axiom, ( ~class_Orderings_Olinorder(_u20292) | hBOOL(hAPP(_u20293, _u20294)) | ( hAPP(c_List_Ofilter(_u20295, _u20293), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20295, _u20292, _u20296), _u20294), _u20297)) = hAPP(c_List_Ofilter(_u20295, _u20293), _u20297)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_distinct__filter ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_distinct__filter-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20298), _u20299)) | hBOOL(hAPP(c_List_Odistinct(_u20298), hAPP(c_List_Ofilter(_u20298, _u20300), _u20299))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_remove1__filter__not ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_remove1__filter__not-1, axiom, ( hBOOL(hAPP(_u20301, _u20302)) | ( c_List_Oremove1(_u20303, _u20302, hAPP(c_List_Ofilter(_u20303, _u20301), _u20304)) = hAPP(c_List_Ofilter(_u20303, _u20301), _u20304)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_filter__remove1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_filter__remove1-1, axiom, ( ( hAPP(c_List_Ofilter(_u20305, _u20306), c_List_Oremove1(_u20305, _u20307, _u20308)) = c_List_Oremove1(_u20305, _u20307, hAPP(c_List_Ofilter(_u20305, _u20306), _u20308))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_filter__filter ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_filter__filter-1, axiom, ( ( hAPP(c_List_Ofilter(_u20309, _u20310), hAPP(c_List_Ofilter(_u20309, _u20311), _u20312)) = hAPP(c_List_Ofilter(_u20309, hAPP(hAPP(c_COMBS(_u20309, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20309), c_fconj), _u20311)), _u20310)), _u20312)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_partition__filter1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_partition__filter1-1, axiom, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u20313), tc_List_Olist(_u20313)), c_List_Opartition(_u20313, _u20314, _u20315)) = hAPP(c_List_Ofilter(_u20313, _u20314), _u20315)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_filter__empty__conv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_filter__empty__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u20321, _u20323), _u20325) != c_List_Olist_ONil(_u20321)) | ~hBOOL(hAPP(hAPP(c_member(_u20321), _u20316), hAPP(c_List_Oset(_u20321), _u20325))) | ~hBOOL(hAPP(_u20323, _u20316)) )).
% 27.68/27.92 cnf(fact_filter__empty__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u20322, _u20324), _u20326) = c_List_Olist_ONil(_u20322)) | hBOOL(hAPP(hAPP(c_member(_u20322), skolem492(_u20326, _u20324, _u20322)), hAPP(c_List_Oset(_u20322), _u20326))) )).
% 27.68/27.92 cnf(fact_filter__empty__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u20322, _u20324), _u20326) = c_List_Olist_ONil(_u20322)) | hBOOL(hAPP(_u20324, skolem492(_u20326, _u20324, _u20322))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_filter_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_filter_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Ofilter(_u20327, _u20328), c_List_Olist_ONil(_u20327)) = c_List_Olist_ONil(_u20327)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_set__filter ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_set__filter-1, axiom, ( ( hAPP(c_List_Oset(_u20329), hAPP(c_List_Ofilter(_u20329, _u20330), _u20331)) = hAPP(c_Set_OCollect(_u20329), hAPP(hAPP(c_COMBS(_u20329, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20329), c_fconj), hAPP(hAPP(c_COMBC(_u20329, tc_fun(_u20329, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20329)), hAPP(c_List_Oset(_u20329), _u20331)))), _u20330))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_partition__filter__conv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_partition__filter__conv-1, axiom, ( ( c_List_Opartition(_u20332, _u20333, _u20334) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20332), tc_List_Olist(_u20332)), hAPP(c_List_Ofilter(_u20332, _u20333), _u20334)), hAPP(c_List_Ofilter(_u20332, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u20332, c_fNot), _u20333)), _u20334))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_partition__filter2 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_partition__filter2-1, axiom, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u20335), tc_List_Olist(_u20335)), c_List_Opartition(_u20335, _u20336, _u20337)) = hAPP(c_List_Ofilter(_u20335, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u20335, c_fNot), _u20336)), _u20337)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_filter__map ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_filter__map-1, axiom, ( ( hAPP(c_List_Ofilter(_u20338, _u20339), hAPP(hAPP(c_List_Omap(_u20340, _u20338), _u20341), _u20342)) = hAPP(hAPP(c_List_Omap(_u20340, _u20338), _u20341), hAPP(c_List_Ofilter(_u20340, hAPP(c_Fun_Ocomp(_u20338, tc_HOL_Obool, _u20340, _u20339), _u20341)), _u20342))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_length__filter__less ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_length__filter__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20343), _u20344), hAPP(c_List_Oset(_u20343), _u20345))) | hBOOL(hAPP(_u20346, _u20344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20343)), hAPP(c_List_Ofilter(_u20343, _u20346), _u20345))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20343)), _u20345))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_set__minus__filter__out ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_set__minus__filter__out-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20347, tc_HOL_Obool)), hAPP(c_List_Oset(_u20347), _u20348)), hAPP(hAPP(c_Set_Oinsert(_u20347), _u20349), c_Orderings_Obot__class_Obot(tc_fun(_u20347, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u20347), hAPP(c_List_Ofilter(_u20347, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20347), c_fNot), hAPP(hAPP(c_COMBC(_u20347, _u20347, tc_HOL_Obool), c_fequal), _u20349))), _u20348))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_partition__P ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_partition__P-1, axiom, ( ( c_List_Opartition(_u20352, _u20353, _u20354) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20352), tc_List_Olist(_u20352)), _u20355), _u20356)) | ~hBOOL(hAPP(hAPP(c_member(_u20352), _u20350), hAPP(c_List_Oset(_u20352), _u20355))) | hBOOL(hAPP(_u20353, _u20350)) )).
% 27.68/27.92 cnf(fact_partition__P-2, axiom, ( ( c_List_Opartition(_u20352, _u20353, _u20354) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20352), tc_List_Olist(_u20352)), _u20355), _u20356)) | ~hBOOL(hAPP(hAPP(c_member(_u20352), _u20351), hAPP(c_List_Oset(_u20352), _u20356))) | ~hBOOL(hAPP(_u20353, _u20351)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_partition_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_partition_Osimps_I1_J-1, axiom, ( ( c_List_Opartition(_u20357, _u20358, c_List_Olist_ONil(_u20357)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20357), tc_List_Olist(_u20357)), c_List_Olist_ONil(_u20357)), c_List_Olist_ONil(_u20357))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_filter__in__sublist ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_filter__in__sublist-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20359), _u20360)) | ( hAPP(c_List_Ofilter(_u20359, hAPP(hAPP(c_COMBC(_u20359, tc_fun(_u20359, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20359)), hAPP(c_List_Oset(_u20359), c_List_Osublist(_u20359, _u20360, _u20361)))), _u20360) = c_List_Osublist(_u20359, _u20360, _u20361)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_partition_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_partition_Osimps_I2_J-1, axiom, ( ( c_List_Opartition(_u20362, _u20363, hAPP(hAPP(c_List_Olist_OCons(_u20362), _u20364), _u20365)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20362), tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u20362), tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20362), tc_fun(tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), tc_fun(tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), tc_List_Olist(_u20362)), c_COMBS(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), tc_fun(tc_List_Olist(_u20362), tc_fun(tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), tc_List_Olist(_u20362)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_fun(tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), tc_List_Olist(_u20362)), hAPP(c_If(tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), hAPP(_u20363, _u20364)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20362), tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), tc_List_Olist(_u20362)), c_Product__Type_OPair(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), hAPP(c_List_Olist_OCons(_u20362), _u20364))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20362), tc_fun(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), tc_fun(tc_fun(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), tc_List_Olist(_u20362)), c_COMBB(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_List_Olist(_u20362))), c_Product__Type_OPair(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), hAPP(c_List_Olist_OCons(_u20362), _u20364)))), c_List_Opartition(_u20362, _u20363, _u20365))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_length__filter__conv__card ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_length__filter__conv__card-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20366)), hAPP(c_List_Ofilter(_u20366, _u20367), _u20368)) = 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(_u20366)), _u20368)))), hAPP(hAPP(c_COMBB(_u20366, tc_HOL_Obool, tc_Nat_Onat), _u20367), hAPP(c_List_Onth(_u20366), _u20368)))))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_map__filter__def ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_map__filter__def-1, axiom, ( ( c_List_Omap__filter(_u20369, _u20370, _u20371, _u20372) = hAPP(hAPP(c_List_Omap(_u20369, _u20370), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u20370), _u20370, _u20369, c_Option_Othe(_u20370)), _u20371)), hAPP(c_List_Ofilter(_u20369, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20369), c_fNot), hAPP(hAPP(c_COMBC(_u20369, tc_Option_Ooption(_u20370), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u20370), tc_fun(tc_Option_Ooption(_u20370), tc_HOL_Obool), _u20369), c_fequal), _u20371)), c_Option_Ooption_ONone(_u20370)))), _u20372))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose__max__length ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_transpose__max__length-1, axiom, ( ( c_List_Ofoldr(tc_List_Olist(_u20373), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20373)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20373))), c_List_Otranspose(_u20373, _u20374), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20373))), hAPP(c_List_Ofilter(tc_List_Olist(_u20373), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20373)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20373), tc_List_Olist(_u20373), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20373)))), _u20374))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_map__of__filter__in ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_map__of__filter__in-1, axiom, ( ( hAPP(c_Map_Omap__of(_u20375, _u20376, _u20377), _u20378) != hAPP(c_Option_Ooption_OSome(_u20376), _u20379)) | ~hBOOL(hAPP(hAPP(_u20380, _u20378), _u20379)) | ( hAPP(c_Map_Omap__of(_u20375, _u20376, hAPP(c_List_Ofilter(tc_prod(_u20375, _u20376), hAPP(c_Product__Type_Oprod_Oprod__case(_u20375, _u20376, tc_HOL_Obool), _u20380)), _u20377)), _u20378) = hAPP(c_Option_Ooption_OSome(_u20376), _u20379)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose__map__map ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_transpose__map__map-1, axiom, ( ( c_List_Otranspose(_u20381, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20382), tc_List_Olist(_u20381)), hAPP(c_List_Omap(_u20382, _u20381), _u20383)), _u20384)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20382), tc_List_Olist(_u20381)), hAPP(c_List_Omap(_u20382, _u20381), _u20383)), c_List_Otranspose(_u20382, _u20384))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_map__filter__simps_I1_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_map__filter__simps_I1_J-1, axiom, ( ( c_List_Omap__filter(_u20385, _u20386, _u20387, hAPP(hAPP(c_List_Olist_OCons(_u20385), _u20388), _u20389)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(_u20386), _u20386, c_List_Omap__filter(_u20385, _u20386, _u20387, _u20389), hAPP(hAPP(c_COMBC(_u20386, tc_List_Olist(_u20386), tc_List_Olist(_u20386)), c_List_Olist_OCons(_u20386)), c_List_Omap__filter(_u20385, _u20386, _u20387, _u20389))), hAPP(_u20387, _u20388))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_transpose_Osimps_I1_J-1, axiom, ( ( c_List_Otranspose(_u20390, c_List_Olist_ONil(tc_List_Olist(_u20390))) = c_List_Olist_ONil(tc_List_Olist(_u20390))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_map__filter__simps_I2_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_map__filter__simps_I2_J-1, axiom, ( ( c_List_Omap__filter(_u20391, _u20392, _u20393, c_List_Olist_ONil(_u20391)) = c_List_Olist_ONil(_u20392)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose__empty ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_transpose__empty-1, axiom, ( ( c_List_Otranspose(_u20398, _u20400) != c_List_Olist_ONil(tc_List_Olist(_u20398))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20398)), _u20394), hAPP(c_List_Oset(tc_List_Olist(_u20398)), _u20400))) | ( _u20394 = c_List_Olist_ONil(_u20398)) )).
% 27.68/27.92 cnf(fact_transpose__empty-2, axiom, ( ( c_List_Otranspose(_u20399, _u20401) = c_List_Olist_ONil(tc_List_Olist(_u20399))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20399)), skolem493(_u20401, _u20399)), hAPP(c_List_Oset(tc_List_Olist(_u20399)), _u20401))) )).
% 27.68/27.92 cnf(fact_transpose__empty-3, axiom, ( ( c_List_Otranspose(_u20399, _u20401) = c_List_Olist_ONil(tc_List_Olist(_u20399))) | ( skolem493(_u20401, _u20399) != c_List_Olist_ONil(_u20399)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_transpose_Osimps_I2_J-1, axiom, ( ( c_List_Otranspose(_u20402, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20402)), c_List_Olist_ONil(_u20402)), _u20403)) = c_List_Otranspose(_u20402, _u20403)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sublist__shift__lemma__Suc ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sublist__shift__lemma__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u20404, tc_Nat_Onat), _u20404), c_Product__Type_Ofst(_u20404, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20404, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u20404, tc_Nat_Onat)), _u20405), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u20404, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u20404, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u20404, tc_Nat_Onat), _u20406), _u20407))) = hAPP(hAPP(c_List_Omap(tc_prod(_u20404, tc_Nat_Onat), _u20404), c_Product__Type_Ofst(_u20404, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20404, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u20404, tc_Nat_Onat)), _u20405), c_Product__Type_Osnd(_u20404, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u20404, tc_Nat_Onat), _u20406), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u20407))))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_select__weigth__drop__zero ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_select__weigth__drop__zero-1, axiom, ( ( c_Random_Oselect__weight(_u20408, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u20408), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u20408, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u20408, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u20408)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u20409)) = c_Random_Oselect__weight(_u20408, _u20409)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_pick__drop__zero ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_pick__drop__zero-1, axiom, ( ( c_Random_Opick(_u20410, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u20410), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u20410, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u20410, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u20410)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u20411)) = c_Random_Opick(_u20410, _u20411)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_nth__transpose ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_nth__transpose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20412), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20413))), c_List_Otranspose(_u20413, _u20414)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20413)), c_List_Otranspose(_u20413, _u20414)), _u20412) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20413), _u20413), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20413), tc_Nat_Onat, _u20413), c_List_Onth(_u20413)), _u20412)), hAPP(c_List_Ofilter(tc_List_Olist(_u20413), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20413)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20412)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20413)))), _u20414))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_length__transpose ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_length__transpose-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20415))), c_List_Otranspose(_u20415, _u20416)) = c_List_Ofoldr(tc_List_Olist(_u20415), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20415)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20415))), _u20416, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_map__filter__map__filter ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_map__filter__map__filter-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u20417, _u20418), _u20419), hAPP(c_List_Ofilter(_u20417, _u20420), _u20421)) = c_List_Omap__filter(_u20417, _u20418, hAPP(hAPP(c_COMBC(_u20417, tc_Option_Ooption(_u20418), tc_Option_Ooption(_u20418)), hAPP(hAPP(c_COMBS(_u20417, tc_Option_Ooption(_u20418), tc_fun(tc_Option_Ooption(_u20418), tc_Option_Ooption(_u20418))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u20418), tc_fun(tc_Option_Ooption(_u20418), tc_Option_Ooption(_u20418))), _u20417), c_If(tc_Option_Ooption(_u20418))), _u20420)), hAPP(hAPP(c_COMBB(_u20418, tc_Option_Ooption(_u20418), _u20417), c_Option_Ooption_OSome(_u20418)), _u20419))), c_Option_Ooption_ONone(_u20418)), _u20421)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_insort__key__remove1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_insort__key__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u20422) | ~hBOOL(hAPP(hAPP(c_member(_u20423), _u20424), hAPP(c_List_Oset(_u20423), _u20425))) | ~c_List_Olinorder__class_Osorted(_u20422, hAPP(hAPP(c_List_Omap(_u20423, _u20422), _u20426), _u20425)) | ( hAPP(c_List_Ohd(_u20423), hAPP(c_List_Ofilter(_u20423, hAPP(hAPP(c_COMBB(_u20422, tc_HOL_Obool, _u20423), hAPP(c_fequal, hAPP(_u20426, _u20424))), _u20426)), _u20425)) != _u20424) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20423, _u20422, _u20426), _u20424), c_List_Oremove1(_u20423, _u20424, _u20425)) = _u20425) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sublist__def ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sublist__def-1, axiom, ( ( c_List_Osublist(_u20427, _u20428, _u20429) = hAPP(hAPP(c_List_Omap(tc_prod(_u20427, tc_Nat_Onat), _u20427), c_Product__Type_Ofst(_u20427, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20427, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20427, 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(_u20427, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u20427, tc_Nat_Onat))), _u20429)), hAPP(hAPP(c_List_Ozip(_u20427, tc_Nat_Onat), _u20428), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20427)), _u20428)))))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted_ONil ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted_ONil-1, axiom, ( ~class_Orderings_Olinorder(_u20430) | c_List_Olinorder__class_Osorted(_u20430, c_List_Olist_ONil(_u20430)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__single ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__single-1, axiom, ( ~class_Orderings_Olinorder(_u20431) | c_List_Olinorder__class_Osorted(_u20431, hAPP(hAPP(c_List_Olist_OCons(_u20431), _u20432), c_List_Olist_ONil(_u20431))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__same ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__same-1, axiom, ( ~class_Orderings_Olinorder(_u20433) | c_List_Olinorder__class_Osorted(_u20433, hAPP(c_List_Ofilter(_u20433, hAPP(hAPP(c_COMBC(_u20433, _u20433, tc_HOL_Obool), c_fequal), hAPP(_u20434, _u20435))), _u20435)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__map__same ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__map__same-1, axiom, ( ~class_Orderings_Olinorder(_u20436) | c_List_Olinorder__class_Osorted(_u20436, hAPP(hAPP(c_List_Omap(_u20437, _u20436), _u20438), hAPP(c_List_Ofilter(_u20437, hAPP(hAPP(c_COMBC(_u20437, _u20436, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20436, tc_fun(_u20436, tc_HOL_Obool), _u20437), c_fequal), _u20438)), hAPP(_u20439, _u20440))), _u20440))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__filter ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__filter-1, axiom, ( ~class_Orderings_Olinorder(_u20441) | ~c_List_Olinorder__class_Osorted(_u20441, hAPP(hAPP(c_List_Omap(_u20442, _u20441), _u20443), _u20444)) | c_List_Olinorder__class_Osorted(_u20441, hAPP(hAPP(c_List_Omap(_u20442, _u20441), _u20443), hAPP(c_List_Ofilter(_u20442, _u20445), _u20444))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_length__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_length__upt-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u20446, _u20447)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20447), _u20446)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__butlast ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__butlast-1, axiom, ( ~class_Orderings_Olinorder(_u20448) | ( _u20449 = c_List_Olist_ONil(_u20448)) | ~c_List_Olinorder__class_Osorted(_u20448, _u20449) | c_List_Olinorder__class_Osorted(_u20448, c_List_Obutlast(_u20448, _u20449)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_upt__eq__Cons__conv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_upt__eq__Cons__conv-1, axiom, ( ( c_List_Oupt(_u20454, _u20456) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20458), _u20460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20454), _u20456)) )).
% 27.68/27.92 cnf(fact_upt__eq__Cons__conv-2, axiom, ( ( c_List_Oupt(_u20454, _u20456) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20458), _u20460)) | ( _u20454 = _u20458) )).
% 27.68/27.92 cnf(fact_upt__eq__Cons__conv-3, axiom, ( ( c_List_Oupt(_u20454, _u20456) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20458), _u20460)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20454), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20456) = _u20460) )).
% 27.68/27.92 cnf(fact_upt__eq__Cons__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20455), _u20457)) | ( _u20455 != _u20459) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20455), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20457) != _u20461) | ( c_List_Oupt(_u20455, _u20457) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20459), _u20461)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_take__upt ( axiom ) converted to clauses:
% 27.68/27.92 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), _u20462), _u20463)), _u20464)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u20463), c_List_Oupt(_u20462, _u20464)) = c_List_Oupt(_u20462, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20462), _u20463))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_upt__conv__Nil ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_upt__conv__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20465), _u20466)) | ( c_List_Oupt(_u20466, _u20465) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_upt__eq__Nil__conv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_upt__eq__Nil__conv-1, axiom, ( ( c_List_Oupt(_u20469, _u20471) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u20471 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20471), _u20469)) )).
% 27.68/27.92 cnf(fact_upt__eq__Nil__conv-2, axiom, ( ( c_List_Oupt(_u20470, _u20472) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u20472 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(fact_upt__eq__Nil__conv-3, axiom, ( ( c_List_Oupt(_u20470, _u20472) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20472), _u20470)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__many ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__many-1, axiom, ( ~class_Orderings_Olinorder(_u20473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20473), _u20474), _u20475)) | ~c_List_Olinorder__class_Osorted(_u20473, hAPP(hAPP(c_List_Olist_OCons(_u20473), _u20475), _u20476)) | c_List_Olinorder__class_Osorted(_u20473, hAPP(hAPP(c_List_Olist_OCons(_u20473), _u20474), hAPP(hAPP(c_List_Olist_OCons(_u20473), _u20475), _u20476))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__many__eq ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__many__eq-1, axiom, ( ~class_Orderings_Olinorder(_u20477) | ~c_List_Olinorder__class_Osorted(_u20477, hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20478), hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20479), _u20480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20477), _u20478), _u20479)) )).
% 27.68/27.92 cnf(fact_sorted__many__eq-2, axiom, ( ~class_Orderings_Olinorder(_u20477) | ~c_List_Olinorder__class_Osorted(_u20477, hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20478), hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20479), _u20480))) | c_List_Olinorder__class_Osorted(_u20477, hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20479), _u20480)) )).
% 27.68/27.92 cnf(fact_sorted__many__eq-3, axiom, ( ~class_Orderings_Olinorder(_u20477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20477), _u20478), _u20479)) | ~c_List_Olinorder__class_Osorted(_u20477, hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20479), _u20480)) | c_List_Olinorder__class_Osorted(_u20477, hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20478), hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20479), _u20480))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_upt__add__eq__append ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_upt__add__eq__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20481), _u20482)) | ( c_List_Oupt(_u20481, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20482), _u20483)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20481, _u20482)), c_List_Oupt(_u20482, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20482), _u20483)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_upt__Suc ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_upt__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20486), _u20488)) | ( c_List_Oupt(_u20486, hAPP(c_Nat_OSuc, _u20488)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20486, _u20488)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20488), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 27.68/27.92 cnf(fact_upt__Suc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20487), _u20489)) | ( c_List_Oupt(_u20487, hAPP(c_Nat_OSuc, _u20489)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_upt__Suc__append ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_upt__Suc__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20490), _u20491)) | ( c_List_Oupt(_u20490, hAPP(c_Nat_OSuc, _u20491)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20490, _u20491)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20491), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__Cons ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u20494) | ~c_List_Olinorder__class_Osorted(_u20494, hAPP(hAPP(c_List_Olist_OCons(_u20494), _u20495), _u20496)) | c_List_Olinorder__class_Osorted(_u20494, _u20496) )).
% 27.68/27.92 cnf(fact_sorted__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u20494) | ~c_List_Olinorder__class_Osorted(_u20494, hAPP(hAPP(c_List_Olist_OCons(_u20494), _u20495), _u20496)) | ~hBOOL(hAPP(hAPP(c_member(_u20494), _u20492), hAPP(c_List_Oset(_u20494), _u20496))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20494), _u20495), _u20492)) )).
% 27.68/27.92 cnf(fact_sorted__Cons-3, axiom, ( ~class_Orderings_Olinorder(_u20494) | c_List_Olinorder__class_Osorted(_u20494, hAPP(hAPP(c_List_Olist_OCons(_u20494), _u20495), _u20496)) | ~c_List_Olinorder__class_Osorted(_u20494, _u20496) | hBOOL(hAPP(hAPP(c_member(_u20494), skolem494(_u20496, _u20495, _u20494)), hAPP(c_List_Oset(_u20494), _u20496))) )).
% 27.68/27.92 cnf(fact_sorted__Cons-4, axiom, ( ~class_Orderings_Olinorder(_u20494) | c_List_Olinorder__class_Osorted(_u20494, hAPP(hAPP(c_List_Olist_OCons(_u20494), _u20495), _u20496)) | ~c_List_Olinorder__class_Osorted(_u20494, _u20496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20494), _u20495), skolem494(_u20496, _u20495, _u20494))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__append ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__append-1, axiom, ( ~class_Orderings_Olinorder(_u20501) | ~c_List_Olinorder__class_Osorted(_u20501, hAPP(hAPP(c_List_Oappend(_u20501), _u20502), _u20503)) | c_List_Olinorder__class_Osorted(_u20501, _u20502) )).
% 27.68/27.92 cnf(fact_sorted__append-2, axiom, ( ~class_Orderings_Olinorder(_u20501) | ~c_List_Olinorder__class_Osorted(_u20501, hAPP(hAPP(c_List_Oappend(_u20501), _u20502), _u20503)) | c_List_Olinorder__class_Osorted(_u20501, _u20503) )).
% 27.68/27.92 cnf(fact_sorted__append-3, axiom, ( ~class_Orderings_Olinorder(_u20501) | ~c_List_Olinorder__class_Osorted(_u20501, hAPP(hAPP(c_List_Oappend(_u20501), _u20502), _u20503)) | ~hBOOL(hAPP(hAPP(c_member(_u20501), _u20498), hAPP(c_List_Oset(_u20501), _u20502))) | ~hBOOL(hAPP(hAPP(c_member(_u20501), _u20497), hAPP(c_List_Oset(_u20501), _u20503))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20501), _u20498), _u20497)) )).
% 27.68/27.92 cnf(fact_sorted__append-4, axiom, ( ~class_Orderings_Olinorder(_u20501) | c_List_Olinorder__class_Osorted(_u20501, hAPP(hAPP(c_List_Oappend(_u20501), _u20502), _u20503)) | ~c_List_Olinorder__class_Osorted(_u20501, _u20502) | ~c_List_Olinorder__class_Osorted(_u20501, _u20503) | hBOOL(hAPP(hAPP(c_member(_u20501), skolem495(_u20503, _u20502, _u20501)), hAPP(c_List_Oset(_u20501), _u20502))) )).
% 27.68/27.92 cnf(fact_sorted__append-5, axiom, ( ~class_Orderings_Olinorder(_u20501) | c_List_Olinorder__class_Osorted(_u20501, hAPP(hAPP(c_List_Oappend(_u20501), _u20502), _u20503)) | ~c_List_Olinorder__class_Osorted(_u20501, _u20502) | ~c_List_Olinorder__class_Osorted(_u20501, _u20503) | hBOOL(hAPP(hAPP(c_member(_u20501), skolem496(_u20503, _u20502, _u20501)), hAPP(c_List_Oset(_u20501), _u20503))) )).
% 27.68/27.92 cnf(fact_sorted__append-6, axiom, ( ~class_Orderings_Olinorder(_u20501) | c_List_Olinorder__class_Osorted(_u20501, hAPP(hAPP(c_List_Oappend(_u20501), _u20502), _u20503)) | ~c_List_Olinorder__class_Osorted(_u20501, _u20502) | ~c_List_Olinorder__class_Osorted(_u20501, _u20503) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20501), skolem495(_u20503, _u20502, _u20501)), skolem496(_u20503, _u20502, _u20501))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_drop__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_drop__upt-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u20504), c_List_Oupt(_u20505, _u20506)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20505), _u20504), _u20506)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__drop ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__drop-1, axiom, ( ~class_Orderings_Olinorder(_u20507) | ~c_List_Olinorder__class_Osorted(_u20507, _u20508) | c_List_Olinorder__class_Osorted(_u20507, hAPP(hAPP(c_List_Odrop(_u20507), _u20509), _u20508)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_hd__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_hd__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20510), _u20511)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u20510, _u20511)) = _u20510) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__insort__insert ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u20512) | ~c_List_Olinorder__class_Osorted(_u20512, _u20513) | c_List_Olinorder__class_Osorted(_u20512, c_List_Olinorder__class_Oinsort__insert__key(_u20512, _u20512, c_COMBI(_u20512), _u20514, _u20513)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_upt__rec ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_upt__rec-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20517), _u20519)) | ( c_List_Oupt(_u20517, _u20519) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20517), c_List_Oupt(hAPP(c_Nat_OSuc, _u20517), _u20519))) )).
% 27.68/27.92 cnf(fact_upt__rec-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20518), _u20520)) | ( c_List_Oupt(_u20518, _u20520) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_upt__conv__Cons ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_upt__conv__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20521), _u20522)) | ( c_List_Oupt(_u20521, _u20522) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20521), c_List_Oupt(hAPP(c_Nat_OSuc, _u20521), _u20522))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_set__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_set__upt-1, axiom, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20523, _u20524)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20523), _u20524)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_atLeastLessThan__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_atLeastLessThan__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20525), _u20526) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20525, _u20526))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__distinct__set__unique ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u20527) | ~c_List_Olinorder__class_Osorted(_u20527, _u20528) | ~hBOOL(hAPP(c_List_Odistinct(_u20527), _u20528)) | ~c_List_Olinorder__class_Osorted(_u20527, _u20529) | ~hBOOL(hAPP(c_List_Odistinct(_u20527), _u20529)) | ( hAPP(c_List_Oset(_u20527), _u20528) != hAPP(c_List_Oset(_u20527), _u20529)) | ( _u20528 = _u20529) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__insort ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__insort-1, axiom, ( ~class_Orderings_Olinorder(_u20530) | ~c_List_Olinorder__class_Osorted(_u20530, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20530, _u20530, c_COMBI(_u20530)), _u20531), _u20532)) | c_List_Olinorder__class_Osorted(_u20530, _u20532) )).
% 27.68/27.92 cnf(fact_sorted__insort-2, axiom, ( ~class_Orderings_Olinorder(_u20530) | ~c_List_Olinorder__class_Osorted(_u20530, _u20532) | c_List_Olinorder__class_Osorted(_u20530, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20530, _u20530, c_COMBI(_u20530)), _u20531), _u20532)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_distinct__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_distinct__upt-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u20533, _u20534))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__remove1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u20535) | ~c_List_Olinorder__class_Osorted(_u20535, _u20536) | c_List_Olinorder__class_Osorted(_u20535, c_List_Oremove1(_u20535, _u20537, _u20536)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__upt-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u20538, _u20539)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__upto ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__upto-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u20540, _u20541)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__list__of__set__range ( axiom ) converted to clauses:
% 27.68/27.92 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, _u20542), _u20543)) = c_List_Oupt(_u20542, _u20543)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_upt__0 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_upt__0-1, axiom, ( ( c_List_Oupt(_u20544, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted_Oequations_I1_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted_Oequations_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u20545) | c_List_Olinorder__class_Osorted(_u20545, c_List_Olist_ONil(_u20545)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__take ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__take-1, axiom, ( ~class_Orderings_Olinorder(_u20546) | ~c_List_Olinorder__class_Osorted(_u20546, _u20547) | c_List_Olinorder__class_Osorted(_u20546, hAPP(hAPP(c_List_Otake(_u20546), _u20548), _u20547)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__tl ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__tl-1, axiom, ( ~class_Orderings_Olinorder(_u20549) | ~c_List_Olinorder__class_Osorted(_u20549, _u20550) | c_List_Olinorder__class_Osorted(_u20549, hAPP(c_List_Otl(_u20549), _u20550)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_upt__rec__number__of ( axiom ) converted to clauses:
% 27.68/27.92 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), _u20553)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20555))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20553), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20555)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20553)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20553)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20555)))) )).
% 27.68/27.92 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), _u20554)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20556))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20554), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20556)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__insort__key ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u20557) | ~c_List_Olinorder__class_Osorted(_u20557, hAPP(hAPP(c_List_Omap(_u20558, _u20557), _u20559), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20558, _u20557, _u20559), _u20560), _u20561))) | c_List_Olinorder__class_Osorted(_u20557, hAPP(hAPP(c_List_Omap(_u20558, _u20557), _u20559), _u20561)) )).
% 27.68/27.92 cnf(fact_sorted__insort__key-2, axiom, ( ~class_Orderings_Olinorder(_u20557) | ~c_List_Olinorder__class_Osorted(_u20557, hAPP(hAPP(c_List_Omap(_u20558, _u20557), _u20559), _u20561)) | c_List_Olinorder__class_Osorted(_u20557, hAPP(hAPP(c_List_Omap(_u20558, _u20557), _u20559), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20558, _u20557, _u20559), _u20560), _u20561))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__map__remove1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__map__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u20562) | ~c_List_Olinorder__class_Osorted(_u20562, hAPP(hAPP(c_List_Omap(_u20563, _u20562), _u20564), _u20565)) | c_List_Olinorder__class_Osorted(_u20562, hAPP(hAPP(c_List_Omap(_u20563, _u20562), _u20564), c_List_Oremove1(_u20563, _u20566, _u20565))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_map__Suc__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_map__Suc__upt-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u20567, _u20568)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u20567), hAPP(c_Nat_OSuc, _u20568))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__insort__insert__key ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__insort__insert__key-1, axiom, ( ~class_Orderings_Olinorder(_u20569) | ~c_List_Olinorder__class_Osorted(_u20569, hAPP(hAPP(c_List_Omap(_u20570, _u20569), _u20571), _u20572)) | c_List_Olinorder__class_Osorted(_u20569, hAPP(hAPP(c_List_Omap(_u20570, _u20569), _u20571), c_List_Olinorder__class_Oinsort__insert__key(_u20570, _u20569, _u20571, _u20573, _u20572))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20574), _u20575)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u20574, _u20575)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20575), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_filter__insort ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_filter__insort-1, axiom, ( ~class_Orderings_Olinorder(_u20576) | ~c_List_Olinorder__class_Osorted(_u20576, hAPP(hAPP(c_List_Omap(_u20577, _u20576), _u20578), _u20579)) | ~hBOOL(hAPP(_u20580, _u20581)) | ( hAPP(c_List_Ofilter(_u20577, _u20580), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20577, _u20576, _u20578), _u20581), _u20579)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20577, _u20576, _u20578), _u20581), hAPP(c_List_Ofilter(_u20577, _u20580), _u20579))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_map__nth ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_map__nth-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20582), hAPP(c_List_Onth(_u20582), _u20583)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20582)), _u20583))) = _u20583) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_atLeastAtMost__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_atLeastAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u20584, _u20585) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20584, hAPP(c_Nat_OSuc, _u20585)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_atLeast__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_atLeast__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u20586) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20586))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_setsum__set__upt__conv__listsum__nat ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_setsum__set__upt__conv__listsum__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20587) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u20587), _u20588), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20589, _u20590))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u20587), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20587), _u20588), c_List_Oupt(_u20589, _u20590)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_interv__listsum__conv__setsum__set__nat ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_interv__listsum__conv__setsum__set__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20591) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u20591), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20591), _u20592), c_List_Oupt(_u20593, _u20594))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u20591), _u20592), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20593, _u20594)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_nth__upt ( axiom ) converted to clauses:
% 27.68/27.92 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), _u20595), _u20596)), _u20597)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u20595, _u20597)), _u20596) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20595), _u20596)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_greaterThanAtMost__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_greaterThanAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u20598, _u20599) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u20598), hAPP(c_Nat_OSuc, _u20599)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted_Oequations_I2_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted_Oequations_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u20602) | ~c_List_Olinorder__class_Osorted(_u20602, hAPP(hAPP(c_List_Olist_OCons(_u20602), _u20603), _u20604)) | ~hBOOL(hAPP(hAPP(c_member(_u20602), _u20600), hAPP(c_List_Oset(_u20602), _u20604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20602), _u20603), _u20600)) )).
% 27.68/27.92 cnf(fact_sorted_Oequations_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u20602) | ~c_List_Olinorder__class_Osorted(_u20602, hAPP(hAPP(c_List_Olist_OCons(_u20602), _u20603), _u20604)) | c_List_Olinorder__class_Osorted(_u20602, _u20604) )).
% 27.68/27.92 cnf(fact_sorted_Oequations_I2_J-3, axiom, ( ~class_Orderings_Olinorder(_u20602) | c_List_Olinorder__class_Osorted(_u20602, hAPP(hAPP(c_List_Olist_OCons(_u20602), _u20603), _u20604)) | ~c_List_Olinorder__class_Osorted(_u20602, _u20604) | hBOOL(hAPP(hAPP(c_member(_u20602), skolem497(_u20604, _u20603, _u20602)), hAPP(c_List_Oset(_u20602), _u20604))) )).
% 27.68/27.92 cnf(fact_sorted_Oequations_I2_J-4, axiom, ( ~class_Orderings_Olinorder(_u20602) | c_List_Olinorder__class_Osorted(_u20602, hAPP(hAPP(c_List_Olist_OCons(_u20602), _u20603), _u20604)) | ~c_List_Olinorder__class_Osorted(_u20602, _u20604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20602), _u20603), skolem497(_u20604, _u20603, _u20602))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_greaterThanLessThan__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_greaterThanLessThan__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u20605, _u20606) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u20605), _u20606))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_nth__map__upt ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_nth__map__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20607), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20608), _u20609))) | ( hAPP(hAPP(c_List_Onth(_u20610), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20610), _u20611), c_List_Oupt(_u20609, _u20608))), _u20607) = hAPP(_u20611, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20609), _u20607))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__list__of__set ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__list__of__set-1, axiom, ( ~class_Orderings_Olinorder(_u20612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20612), _u20613)) | ( hAPP(c_List_Oset(_u20612), c_List_Olinorder__class_Osorted__list__of__set(_u20612, _u20613)) = _u20613) )).
% 27.68/27.92 cnf(fact_sorted__list__of__set-2, axiom, ( ~class_Orderings_Olinorder(_u20612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20612), _u20613)) | c_List_Olinorder__class_Osorted(_u20612, c_List_Olinorder__class_Osorted__list__of__set(_u20612, _u20613)) )).
% 27.68/27.92 cnf(fact_sorted__list__of__set-3, axiom, ( ~class_Orderings_Olinorder(_u20612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20612), _u20613)) | hBOOL(hAPP(c_List_Odistinct(_u20612), c_List_Olinorder__class_Osorted__list__of__set(_u20612, _u20613))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_atMost__upto ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_atMost__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u20614) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u20614)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_insort__remove1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_insort__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u20615) | ~hBOOL(hAPP(hAPP(c_member(_u20615), _u20616), hAPP(c_List_Oset(_u20615), _u20617))) | ~c_List_Olinorder__class_Osorted(_u20615, _u20617) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20615, _u20615, c_COMBI(_u20615)), _u20616), c_List_Oremove1(_u20615, _u20616, _u20617)) = _u20617) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__equals__nth__mono ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__equals__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u20622) | ~c_List_Olinorder__class_Osorted(_u20622, _u20623) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20619), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20622)), _u20623))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20618), _u20619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20622), hAPP(hAPP(c_List_Onth(_u20622), _u20623), _u20618)), hAPP(hAPP(c_List_Onth(_u20622), _u20623), _u20619))) )).
% 27.68/27.92 cnf(fact_sorted__equals__nth__mono-2, axiom, ( ~class_Orderings_Olinorder(_u20622) | c_List_Olinorder__class_Osorted(_u20622, _u20623) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem498(_u20623, _u20622)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20622)), _u20623))) )).
% 27.68/27.92 cnf(fact_sorted__equals__nth__mono-3, axiom, ( ~class_Orderings_Olinorder(_u20622) | c_List_Olinorder__class_Osorted(_u20622, _u20623) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem499(_u20623, _u20622)), skolem498(_u20623, _u20622))) )).
% 27.68/27.92 cnf(fact_sorted__equals__nth__mono-4, axiom, ( ~class_Orderings_Olinorder(_u20622) | c_List_Olinorder__class_Osorted(_u20622, _u20623) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20622), hAPP(hAPP(c_List_Onth(_u20622), _u20623), skolem499(_u20623, _u20622))), hAPP(hAPP(c_List_Onth(_u20622), _u20623), skolem498(_u20623, _u20622)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__nth__mono ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u20624) | ~c_List_Olinorder__class_Osorted(_u20624, _u20625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20626), _u20627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20627), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20624)), _u20625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20624), hAPP(hAPP(c_List_Onth(_u20624), _u20625), _u20626)), hAPP(hAPP(c_List_Onth(_u20624), _u20625), _u20627))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_map__sorted__distinct__set__unique ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_map__sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u20628) | ~c_Fun_Oinj__on(_u20629, _u20628, _u20630, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20629, tc_HOL_Obool)), hAPP(c_List_Oset(_u20629), _u20631)), hAPP(c_List_Oset(_u20629), _u20632))) | ~c_List_Olinorder__class_Osorted(_u20628, hAPP(hAPP(c_List_Omap(_u20629, _u20628), _u20630), _u20631)) | ~hBOOL(hAPP(c_List_Odistinct(_u20628), hAPP(hAPP(c_List_Omap(_u20629, _u20628), _u20630), _u20631))) | ~c_List_Olinorder__class_Osorted(_u20628, hAPP(hAPP(c_List_Omap(_u20629, _u20628), _u20630), _u20632)) | ~hBOOL(hAPP(c_List_Odistinct(_u20628), hAPP(hAPP(c_List_Omap(_u20629, _u20628), _u20630), _u20632))) | ( hAPP(c_List_Oset(_u20629), _u20631) != hAPP(c_List_Oset(_u20629), _u20632)) | ( _u20631 = _u20632) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sublist__shift__lemma ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sublist__shift__lemma-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u20633, tc_Nat_Onat), _u20633), c_Product__Type_Ofst(_u20633, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20633, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20633, 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(_u20633, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u20633, tc_Nat_Onat))), _u20634)), hAPP(hAPP(c_List_Ozip(_u20633, tc_Nat_Onat), _u20635), c_List_Oupt(_u20636, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20636), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20633)), _u20635)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u20633, tc_Nat_Onat), _u20633), c_Product__Type_Ofst(_u20633, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20633, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20633, 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(_u20633, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u20633, 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(_u20633, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u20633, tc_Nat_Onat))), _u20636))), _u20634)), hAPP(hAPP(c_List_Ozip(_u20633, tc_Nat_Onat), _u20635), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20633)), _u20635)))))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose__rectangle ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_transpose__rectangle-1, axiom, ( ( _u20638 = c_List_Olist_ONil(tc_List_Olist(_u20639))) | ( c_List_Otranspose(_u20639, _u20638) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20639), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20639)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20639), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20639), tc_fun(tc_Nat_Onat, _u20639), tc_Nat_Onat), c_List_Onth(_u20639)), hAPP(c_List_Onth(tc_List_Olist(_u20639)), _u20638))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20639))), _u20638)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem500(_u20640, _u20639, _u20638)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20639))), _u20638))) )).
% 27.68/27.92 cnf(fact_transpose__rectangle-2, axiom, ( ( _u20638 = c_List_Olist_ONil(tc_List_Olist(_u20639))) | ( c_List_Otranspose(_u20639, _u20638) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20639), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20639)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20639), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20639), tc_fun(tc_Nat_Onat, _u20639), tc_Nat_Onat), c_List_Onth(_u20639)), hAPP(c_List_Onth(tc_List_Olist(_u20639)), _u20638))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20639))), _u20638)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20640))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20639)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20639)), _u20638), skolem500(_u20640, _u20639, _u20638))) != _u20640) )).
% 27.68/27.92 cnf(fact_transpose__rectangle-3, axiom, ( ( _u20640 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u20639, _u20638) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20639), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20639)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20639), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20639), tc_fun(tc_Nat_Onat, _u20639), tc_Nat_Onat), c_List_Onth(_u20639)), hAPP(c_List_Onth(tc_List_Olist(_u20639)), _u20638))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20639))), _u20638)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem500(_u20640, _u20639, _u20638)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20639))), _u20638))) )).
% 27.68/27.92 cnf(fact_transpose__rectangle-4, axiom, ( ( _u20640 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u20639, _u20638) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20639), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20639)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20639), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20639), tc_fun(tc_Nat_Onat, _u20639), tc_Nat_Onat), c_List_Onth(_u20639)), hAPP(c_List_Onth(tc_List_Olist(_u20639)), _u20638))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20639))), _u20638)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20640))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20639)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20639)), _u20638), skolem500(_u20640, _u20639, _u20638))) != _u20640) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose_Opsimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_transpose_Opsimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20641)), c_List_Otranspose__rel(_u20641)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20641)), c_List_Olist_ONil(_u20641)), _u20642))) | ( c_List_Otranspose(_u20641, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20641)), c_List_Olist_ONil(_u20641)), _u20642)) = c_List_Otranspose(_u20641, _u20642)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose_Opsimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_transpose_Opsimps_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20643)), c_List_Otranspose__rel(_u20643)), c_List_Olist_ONil(tc_List_Olist(_u20643)))) | ( c_List_Otranspose(_u20643, c_List_Olist_ONil(tc_List_Olist(_u20643))) = c_List_Olist_ONil(tc_List_Olist(_u20643))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose__column ( axiom ) converted to clauses:
% 27.68/27.92 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(_u20644), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20644))), _u20645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20646), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20644))), _u20645))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20644), _u20644), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20644), tc_Nat_Onat, _u20644), c_List_Onth(_u20644)), _u20646)), hAPP(c_List_Ofilter(tc_List_Olist(_u20644), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20644)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20646)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20644)))), c_List_Otranspose(_u20644, _u20645))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20644)), _u20645), _u20646)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose__aux__filter__head ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_transpose__aux__filter__head-1, axiom, ( ( c_List_Oconcat(_u20647, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20647), tc_List_Olist(_u20647)), c_List_Olist_Olist__case(tc_List_Olist(_u20647), _u20647, c_List_Olist_ONil(_u20647), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20647), tc_fun(tc_List_Olist(_u20647), tc_List_Olist(_u20647)), _u20647), c_COMBK(tc_List_Olist(_u20647), tc_List_Olist(_u20647))), hAPP(hAPP(c_COMBC(_u20647, tc_List_Olist(_u20647), tc_List_Olist(_u20647)), c_List_Olist_OCons(_u20647)), c_List_Olist_ONil(_u20647))))), _u20648)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20647), _u20647), c_List_Ohd(_u20647)), hAPP(c_List_Ofilter(tc_List_Olist(_u20647), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20647)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20647), tc_List_Olist(_u20647), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20647)))), _u20648))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_inj__on__rev ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_inj__on__rev-1, axiom, ( c_Fun_Oinj__on(tc_List_Olist(_u20649), tc_List_Olist(_u20649), c_List_Orev(_u20649), _u20650) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_filter__concat ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_filter__concat-1, axiom, ( ( hAPP(c_List_Ofilter(_u20651, _u20652), c_List_Oconcat(_u20651, _u20653)) = c_List_Oconcat(_u20651, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20651), tc_List_Olist(_u20651)), c_List_Ofilter(_u20651, _u20652)), _u20653))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_length__concat ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_length__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20654)), c_List_Oconcat(_u20654, _u20655)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20654), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20654))), _u20655))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Orev(_u20656), hAPP(hAPP(c_List_Olist_OCons(_u20656), _u20657), _u20658)) = hAPP(hAPP(c_List_Oappend(_u20656), hAPP(c_List_Orev(_u20656), _u20658)), hAPP(hAPP(c_List_Olist_OCons(_u20656), _u20657), c_List_Olist_ONil(_u20656)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__eq__Cons__iff ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Orev(_u20663), _u20665) != hAPP(hAPP(c_List_Olist_OCons(_u20663), _u20667), _u20669)) | ( _u20665 = hAPP(hAPP(c_List_Oappend(_u20663), hAPP(c_List_Orev(_u20663), _u20669)), hAPP(hAPP(c_List_Olist_OCons(_u20663), _u20667), c_List_Olist_ONil(_u20663)))) )).
% 27.68/27.92 cnf(fact_rev__eq__Cons__iff-2, axiom, ( ( _u20666 != hAPP(hAPP(c_List_Oappend(_u20664), hAPP(c_List_Orev(_u20664), _u20670)), hAPP(hAPP(c_List_Olist_OCons(_u20664), _u20668), c_List_Olist_ONil(_u20664)))) | ( hAPP(c_List_Orev(_u20664), _u20666) = hAPP(hAPP(c_List_Olist_OCons(_u20664), _u20668), _u20670)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_concat_Osimps_I2_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_concat_Osimps_I2_J-1, axiom, ( ( c_List_Oconcat(_u20671, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20671)), _u20672), _u20673)) = hAPP(hAPP(c_List_Oappend(_u20671), _u20672), c_List_Oconcat(_u20671, _u20673))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_singleton__rev__conv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_singleton__rev__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u20677), _u20679), c_List_Olist_ONil(_u20677)) != hAPP(c_List_Orev(_u20677), _u20681)) | ( _u20681 = hAPP(hAPP(c_List_Olist_OCons(_u20677), _u20679), c_List_Olist_ONil(_u20677))) )).
% 27.68/27.92 cnf(fact_singleton__rev__conv-2, axiom, ( ( _u20682 != hAPP(hAPP(c_List_Olist_OCons(_u20678), _u20680), c_List_Olist_ONil(_u20678))) | ( hAPP(hAPP(c_List_Olist_OCons(_u20678), _u20680), c_List_Olist_ONil(_u20678)) = hAPP(c_List_Orev(_u20678), _u20682)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__singleton__conv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__singleton__conv-1, axiom, ( ( hAPP(c_List_Orev(_u20686), _u20688) != hAPP(hAPP(c_List_Olist_OCons(_u20686), _u20690), c_List_Olist_ONil(_u20686))) | ( _u20688 = hAPP(hAPP(c_List_Olist_OCons(_u20686), _u20690), c_List_Olist_ONil(_u20686))) )).
% 27.68/27.92 cnf(fact_rev__singleton__conv-2, axiom, ( ( _u20689 != hAPP(hAPP(c_List_Olist_OCons(_u20687), _u20691), c_List_Olist_ONil(_u20687))) | ( hAPP(c_List_Orev(_u20687), _u20689) = hAPP(hAPP(c_List_Olist_OCons(_u20687), _u20691), c_List_Olist_ONil(_u20687))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_Nil__eq__concat__conv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_Nil__eq__concat__conv-1, axiom, ( ( c_List_Olist_ONil(_u20696) != c_List_Oconcat(_u20696, _u20698)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20696)), _u20692), hAPP(c_List_Oset(tc_List_Olist(_u20696)), _u20698))) | ( _u20692 = c_List_Olist_ONil(_u20696)) )).
% 27.68/27.92 cnf(fact_Nil__eq__concat__conv-2, axiom, ( ( c_List_Olist_ONil(_u20697) = c_List_Oconcat(_u20697, _u20699)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20697)), skolem501(_u20699, _u20697)), hAPP(c_List_Oset(tc_List_Olist(_u20697)), _u20699))) )).
% 27.68/27.92 cnf(fact_Nil__eq__concat__conv-3, axiom, ( ( c_List_Olist_ONil(_u20697) = c_List_Oconcat(_u20697, _u20699)) | ( skolem501(_u20699, _u20697) != c_List_Olist_ONil(_u20697)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_concat__eq__Nil__conv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_concat__eq__Nil__conv-1, axiom, ( ( c_List_Oconcat(_u20704, _u20706) != c_List_Olist_ONil(_u20704)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20704)), _u20700), hAPP(c_List_Oset(tc_List_Olist(_u20704)), _u20706))) | ( _u20700 = c_List_Olist_ONil(_u20704)) )).
% 27.68/27.92 cnf(fact_concat__eq__Nil__conv-2, axiom, ( ( c_List_Oconcat(_u20705, _u20707) = c_List_Olist_ONil(_u20705)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20705)), skolem502(_u20707, _u20705)), hAPP(c_List_Oset(tc_List_Olist(_u20705)), _u20707))) )).
% 27.68/27.92 cnf(fact_concat__eq__Nil__conv-3, axiom, ( ( c_List_Oconcat(_u20705, _u20707) = c_List_Olist_ONil(_u20705)) | ( skolem502(_u20707, _u20705) != c_List_Olist_ONil(_u20705)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__is__Nil__conv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orev(_u20710), _u20712) != c_List_Olist_ONil(_u20710)) | ( _u20712 = c_List_Olist_ONil(_u20710)) )).
% 27.68/27.92 cnf(fact_rev__is__Nil__conv-2, axiom, ( ( _u20713 != c_List_Olist_ONil(_u20711)) | ( hAPP(c_List_Orev(_u20711), _u20713) = c_List_Olist_ONil(_u20711)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_Nil__is__rev__conv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_Nil__is__rev__conv-1, axiom, ( ( c_List_Olist_ONil(_u20716) != hAPP(c_List_Orev(_u20716), _u20718)) | ( _u20718 = c_List_Olist_ONil(_u20716)) )).
% 27.68/27.92 cnf(fact_Nil__is__rev__conv-2, axiom, ( ( _u20719 != c_List_Olist_ONil(_u20717)) | ( c_List_Olist_ONil(_u20717) = hAPP(c_List_Orev(_u20717), _u20719)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_concat_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_concat_Osimps_I1_J-1, axiom, ( ( c_List_Oconcat(_u20720, c_List_Olist_ONil(tc_List_Olist(_u20720))) = c_List_Olist_ONil(_u20720)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev_Osimps_I1_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Orev(_u20721), c_List_Olist_ONil(_u20721)) = c_List_Olist_ONil(_u20721)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_map__concat ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_map__concat-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u20722, _u20723), _u20724), c_List_Oconcat(_u20722, _u20725)) = c_List_Oconcat(_u20723, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20722), tc_List_Olist(_u20723)), hAPP(c_List_Omap(_u20722, _u20723), _u20724)), _u20725))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__map ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__map-1, axiom, ( ( hAPP(c_List_Orev(_u20726), hAPP(hAPP(c_List_Omap(_u20727, _u20726), _u20728), _u20729)) = hAPP(hAPP(c_List_Omap(_u20727, _u20726), _u20728), hAPP(c_List_Orev(_u20727), _u20729))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__concat ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__concat-1, axiom, ( ( hAPP(c_List_Orev(_u20730), c_List_Oconcat(_u20730, _u20731)) = c_List_Oconcat(_u20730, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20730), tc_List_Olist(_u20730)), c_List_Orev(_u20730)), hAPP(c_List_Orev(tc_List_Olist(_u20730)), _u20731)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_concat__conv__foldl ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_concat__conv__foldl-1, axiom, ( ( c_List_Oconcat(_u20732, _u20733) = hAPP(c_List_Ofoldl(tc_List_Olist(_u20732), tc_List_Olist(_u20732), c_List_Oappend(_u20732), c_List_Olist_ONil(_u20732)), _u20733)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__foldl__cons ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__foldl__cons-1, axiom, ( ( hAPP(c_List_Orev(_u20734), _u20735) = hAPP(c_List_Ofoldl(tc_List_Olist(_u20734), _u20734, hAPP(c_COMBC(_u20734, tc_List_Olist(_u20734), tc_List_Olist(_u20734)), c_List_Olist_OCons(_u20734)), c_List_Olist_ONil(_u20734)), _u20735)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_foldl__conv__concat ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_foldl__conv__concat-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u20736), tc_List_Olist(_u20736), c_List_Oappend(_u20736), _u20737), _u20738) = hAPP(hAPP(c_List_Oappend(_u20736), _u20737), c_List_Oconcat(_u20736, _u20738))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_distinct__rev ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_distinct__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20741), hAPP(c_List_Orev(_u20741), _u20743))) | hBOOL(hAPP(c_List_Odistinct(_u20741), _u20743)) )).
% 27.68/27.92 cnf(fact_distinct__rev-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20742), _u20744)) | hBOOL(hAPP(c_List_Odistinct(_u20742), hAPP(c_List_Orev(_u20742), _u20744))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_concat__append ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_concat__append-1, axiom, ( ( c_List_Oconcat(_u20745, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u20745)), _u20746), _u20747)) = hAPP(hAPP(c_List_Oappend(_u20745), c_List_Oconcat(_u20745, _u20746)), c_List_Oconcat(_u20745, _u20747))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__append ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__append-1, axiom, ( ( hAPP(c_List_Orev(_u20748), hAPP(hAPP(c_List_Oappend(_u20748), _u20749), _u20750)) = hAPP(hAPP(c_List_Oappend(_u20748), hAPP(c_List_Orev(_u20748), _u20750)), hAPP(c_List_Orev(_u20748), _u20749))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_length__rev ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_length__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20751)), hAPP(c_List_Orev(_u20751), _u20752)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20751)), _u20752)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_listsum__rev ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_listsum__rev-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20753) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u20753), hAPP(c_List_Orev(_u20753), _u20754)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u20753), _u20754)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__rev__ident ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__rev__ident-1, axiom, ( ( hAPP(c_List_Orev(_u20755), hAPP(c_List_Orev(_u20755), _u20756)) = _u20756) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__swap ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__swap-1, axiom, ( ( hAPP(c_List_Orev(_u20760), _u20762) != _u20764) | ( _u20762 = hAPP(c_List_Orev(_u20760), _u20764)) )).
% 27.68/27.92 cnf(fact_rev__swap-2, axiom, ( ( _u20763 != hAPP(c_List_Orev(_u20761), _u20765)) | ( hAPP(c_List_Orev(_u20761), _u20763) = _u20765) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__is__rev__conv ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__is__rev__conv-1, axiom, ( ( _u20771 = _u20773) | ( hAPP(c_List_Orev(_u20769), _u20771) != hAPP(c_List_Orev(_u20769), _u20773)) )).
% 27.68/27.92 cnf(fact_rev__is__rev__conv-2, axiom, ( ( _u20772 != _u20774) | ( hAPP(c_List_Orev(_u20770), _u20772) = hAPP(c_List_Orev(_u20770), _u20774)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_foldl__foldr ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_foldl__foldr-1, axiom, ( ( hAPP(c_List_Ofoldl(_u20775, _u20776, _u20777, _u20778), _u20779) = c_List_Ofoldr(_u20776, _u20775, hAPP(c_COMBC(_u20775, _u20776, _u20775), _u20777), hAPP(c_List_Orev(_u20776), _u20779), _u20778)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_foldr__foldl ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_foldr__foldl-1, axiom, ( ( c_List_Ofoldr(_u20780, _u20781, _u20782, _u20783, _u20784) = hAPP(c_List_Ofoldl(_u20781, _u20780, hAPP(c_COMBC(_u20780, _u20781, _u20781), _u20782), _u20784), hAPP(c_List_Orev(_u20780), _u20783))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_set__concat ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_set__concat-1, axiom, ( ( hAPP(c_List_Oset(_u20785), c_List_Oconcat(_u20785, _u20786)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u20785), tc_fun(_u20785, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u20785)), _u20786)), c_List_Oset(_u20785))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_set__rev ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_set__rev-1, axiom, ( ( hAPP(c_List_Oset(_u20787), hAPP(c_List_Orev(_u20787), _u20788)) = hAPP(c_List_Oset(_u20787), _u20788)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_zip__rev ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_zip__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20789)), _u20790) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20791)), _u20792)) | ( hAPP(hAPP(c_List_Ozip(_u20789, _u20791), hAPP(c_List_Orev(_u20789), _u20790)), hAPP(c_List_Orev(_u20791), _u20792)) = hAPP(c_List_Orev(tc_prod(_u20789, _u20791)), hAPP(hAPP(c_List_Ozip(_u20789, _u20791), _u20790), _u20792))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__filter ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__filter-1, axiom, ( ( hAPP(c_List_Orev(_u20793), hAPP(c_List_Ofilter(_u20793, _u20794), _u20795)) = hAPP(c_List_Ofilter(_u20793, _u20794), hAPP(c_List_Orev(_u20793), _u20795))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_hd__rev ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_hd__rev-1, axiom, ( ( _u20796 = c_List_Olist_ONil(_u20797)) | ( hAPP(c_List_Ohd(_u20797), hAPP(c_List_Orev(_u20797), _u20796)) = c_List_Olast(_u20797, _u20796)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_last__rev ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_last__rev-1, axiom, ( ( _u20798 = c_List_Olist_ONil(_u20799)) | ( c_List_Olast(_u20799, hAPP(c_List_Orev(_u20799), _u20798)) = hAPP(c_List_Ohd(_u20799), _u20798)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__transpose ( axiom ) converted to clauses:
% 27.68/27.92 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(_u20800), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20800))), c_List_Otranspose(_u20800, _u20801)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__drop ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__drop-1, axiom, ( ( hAPP(c_List_Orev(_u20802), hAPP(hAPP(c_List_Odrop(_u20802), _u20803), _u20804)) = hAPP(hAPP(c_List_Otake(_u20802), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20802)), _u20804)), _u20803)), hAPP(c_List_Orev(_u20802), _u20804))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__take ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__take-1, axiom, ( ( hAPP(c_List_Orev(_u20805), hAPP(hAPP(c_List_Otake(_u20805), _u20806), _u20807)) = hAPP(hAPP(c_List_Odrop(_u20805), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20805)), _u20807)), _u20806)), hAPP(c_List_Orev(_u20805), _u20807))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rotate__rev ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rotate__rev-1, axiom, ( ( hAPP(c_List_Orotate(_u20808, _u20809), hAPP(c_List_Orev(_u20808), _u20810)) = hAPP(c_List_Orev(_u20808), hAPP(c_List_Orotate(_u20808, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20808)), _u20810)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u20809, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20808)), _u20810)))), _u20810))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose_Osimps_I3_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_transpose_Osimps_I3_J-1, axiom, ( ( c_List_Otranspose(_u20811, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20811)), hAPP(hAPP(c_List_Olist_OCons(_u20811), _u20812), _u20813)), _u20814)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20811)), hAPP(hAPP(c_List_Olist_OCons(_u20811), _u20812), c_List_Oconcat(_u20811, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20811), tc_List_Olist(_u20811)), c_List_Olist_Olist__case(tc_List_Olist(_u20811), _u20811, c_List_Olist_ONil(_u20811), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20811), tc_fun(tc_List_Olist(_u20811), tc_List_Olist(_u20811)), _u20811), c_COMBK(tc_List_Olist(_u20811), tc_List_Olist(_u20811))), hAPP(hAPP(c_COMBC(_u20811, tc_List_Olist(_u20811), tc_List_Olist(_u20811)), c_List_Olist_OCons(_u20811)), c_List_Olist_ONil(_u20811))))), _u20814)))), c_List_Otranspose(_u20811, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20811)), _u20813), c_List_Oconcat(tc_List_Olist(_u20811), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20811), tc_List_Olist(tc_List_Olist(_u20811))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20811)), _u20811, c_List_Olist_ONil(tc_List_Olist(_u20811)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20811), tc_List_Olist(tc_List_Olist(_u20811))), _u20811), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20811), tc_List_Olist(tc_List_Olist(_u20811)), tc_List_Olist(tc_List_Olist(_u20811))), c_List_Olist_OCons(tc_List_Olist(_u20811))), c_List_Olist_ONil(tc_List_Olist(_u20811)))))), _u20814)))))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__nth ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20815), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20816)), _u20817))) | ( hAPP(hAPP(c_List_Onth(_u20816), hAPP(c_List_Orev(_u20816), _u20817)), _u20815) = hAPP(hAPP(c_List_Onth(_u20816), _u20817), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20816)), _u20817)), hAPP(c_Nat_OSuc, _u20815)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_concat__eq__concat__iff ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_concat__eq__concat__iff-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20819), tc_List_Olist(_u20819))), skolem503(_u20821, _u20820, _u20819)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20819), tc_List_Olist(_u20819))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20819), tc_List_Olist(_u20819)), _u20820), _u20821)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20820) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20821)) | ( c_List_Oconcat(_u20819, _u20820) != c_List_Oconcat(_u20819, _u20821)) | ( _u20820 = _u20821) )).
% 27.68/27.92 cnf(fact_concat__eq__concat__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20819), tc_List_Olist(_u20819))), skolem503(_u20821, _u20820, _u20819)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20819), tc_List_Olist(_u20819))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20819), tc_List_Olist(_u20819)), _u20820), _u20821)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20820) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20821)) | ( _u20820 != _u20821) | ( c_List_Oconcat(_u20819, _u20820) = c_List_Oconcat(_u20819, _u20821)) )).
% 27.68/27.92 cnf(fact_concat__eq__concat__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20819), tc_List_Olist(_u20819), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20819), tc_fun(tc_List_Olist(_u20819), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20819), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20819), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20819), tc_HOL_Obool)), tc_List_Olist(_u20819)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20819))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20819)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20819))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20819)))), skolem503(_u20821, _u20820, _u20819))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20820) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20821)) | ( c_List_Oconcat(_u20819, _u20820) != c_List_Oconcat(_u20819, _u20821)) | ( _u20820 = _u20821) )).
% 27.68/27.92 cnf(fact_concat__eq__concat__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20819), tc_List_Olist(_u20819), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20819), tc_fun(tc_List_Olist(_u20819), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20819), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20819), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20819), tc_HOL_Obool)), tc_List_Olist(_u20819)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20819))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20819)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20819))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20819)))), skolem503(_u20821, _u20820, _u20819))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20820) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20821)) | ( _u20820 != _u20821) | ( c_List_Oconcat(_u20819, _u20820) = c_List_Oconcat(_u20819, _u20821)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_concat__injective ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_concat__injective-1, axiom, ( ( c_List_Oconcat(_u20823, _u20824) != c_List_Oconcat(_u20823, _u20825)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20823))), _u20824) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20823))), _u20825)) | ( _u20824 = _u20825) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20823), tc_List_Olist(_u20823))), skolem504(_u20825, _u20824, _u20823)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20823), tc_List_Olist(_u20823))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20823), tc_List_Olist(_u20823)), _u20824), _u20825)))) )).
% 27.68/27.92 cnf(fact_concat__injective-2, axiom, ( ( c_List_Oconcat(_u20823, _u20824) != c_List_Oconcat(_u20823, _u20825)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20823))), _u20824) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20823))), _u20825)) | ( _u20824 = _u20825) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20823), tc_List_Olist(_u20823), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20823), tc_fun(tc_List_Olist(_u20823), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20823), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20823), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20823), tc_HOL_Obool)), tc_List_Olist(_u20823)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20823))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20823)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20823))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20823)))), skolem504(_u20825, _u20824, _u20823))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_rev__update ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_rev__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20826), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20827)), _u20828))) | ( hAPP(c_List_Orev(_u20827), hAPP(hAPP(c_List_Olist__update(_u20827, _u20828), _u20826), _u20829)) = hAPP(hAPP(c_List_Olist__update(_u20827, hAPP(c_List_Orev(_u20827), _u20828)), 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(_u20827)), _u20828)), _u20826)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20829)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_concat__map__singleton ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_concat__map__singleton-1, axiom, ( ( c_List_Oconcat(_u20830, hAPP(hAPP(c_List_Omap(_u20831, tc_List_Olist(_u20830)), hAPP(hAPP(c_COMBC(_u20831, tc_List_Olist(_u20830), tc_List_Olist(_u20830)), hAPP(hAPP(c_COMBB(_u20830, tc_fun(tc_List_Olist(_u20830), tc_List_Olist(_u20830)), _u20831), c_List_Olist_OCons(_u20830)), _u20832)), c_List_Olist_ONil(_u20830))), _u20833)) = hAPP(hAPP(c_List_Omap(_u20831, _u20830), _u20832), _u20833)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_sorted__rev__nth__mono ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_sorted__rev__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u20834) | ~c_List_Olinorder__class_Osorted(_u20834, hAPP(c_List_Orev(_u20834), _u20835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20836), _u20837)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20837), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20834)), _u20835))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20834), hAPP(hAPP(c_List_Onth(_u20834), _u20835), _u20837)), hAPP(hAPP(c_List_Onth(_u20834), _u20835), _u20836))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_foldr__max__sorted ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_foldr__max__sorted-1, axiom, ( ~class_Orderings_Olinorder(_u20838) | ~c_List_Olinorder__class_Osorted(_u20838, hAPP(c_List_Orev(_u20838), _u20839)) | ( _u20839 != c_List_Olist_ONil(_u20838)) | ( c_List_Ofoldr(_u20838, _u20838, c_Orderings_Oord__class_Omax(_u20838), _u20839, _u20840) = _u20840) )).
% 27.68/27.92 cnf(fact_foldr__max__sorted-2, axiom, ( ~class_Orderings_Olinorder(_u20838) | ~c_List_Olinorder__class_Osorted(_u20838, hAPP(c_List_Orev(_u20838), _u20839)) | ( _u20839 = c_List_Olist_ONil(_u20838)) | ( c_List_Ofoldr(_u20838, _u20838, c_Orderings_Oord__class_Omax(_u20838), _u20839, _u20840) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20838), hAPP(hAPP(c_List_Onth(_u20838), _u20839), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20840)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose_Opsimps_I3_J ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_transpose_Opsimps_I3_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20841)), c_List_Otranspose__rel(_u20841)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20841)), hAPP(hAPP(c_List_Olist_OCons(_u20841), _u20842), _u20843)), _u20844))) | ( c_List_Otranspose(_u20841, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20841)), hAPP(hAPP(c_List_Olist_OCons(_u20841), _u20842), _u20843)), _u20844)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20841)), hAPP(hAPP(c_List_Olist_OCons(_u20841), _u20842), c_List_Oconcat(_u20841, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20841), tc_List_Olist(_u20841)), c_List_Olist_Olist__case(tc_List_Olist(_u20841), _u20841, c_List_Olist_ONil(_u20841), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20841), tc_fun(tc_List_Olist(_u20841), tc_List_Olist(_u20841)), _u20841), c_COMBK(tc_List_Olist(_u20841), tc_List_Olist(_u20841))), hAPP(hAPP(c_COMBC(_u20841, tc_List_Olist(_u20841), tc_List_Olist(_u20841)), c_List_Olist_OCons(_u20841)), c_List_Olist_ONil(_u20841))))), _u20844)))), c_List_Otranspose(_u20841, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20841)), _u20843), c_List_Oconcat(tc_List_Olist(_u20841), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20841), tc_List_Olist(tc_List_Olist(_u20841))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20841)), _u20841, c_List_Olist_ONil(tc_List_Olist(_u20841)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20841), tc_List_Olist(tc_List_Olist(_u20841))), _u20841), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20841), tc_List_Olist(tc_List_Olist(_u20841)), tc_List_Olist(tc_List_Olist(_u20841))), c_List_Olist_OCons(tc_List_Olist(_u20841))), c_List_Olist_ONil(tc_List_Olist(_u20841)))))), _u20844)))))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_length__transpose__sorted ( axiom ) converted to clauses:
% 27.68/27.92 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(_u20845), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20845))), _u20846))) | ( _u20846 != c_List_Olist_ONil(tc_List_Olist(_u20845))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20845))), c_List_Otranspose(_u20845, _u20846)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 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(_u20845), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20845))), _u20846))) | ( _u20846 = c_List_Olist_ONil(tc_List_Olist(_u20845))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20845))), c_List_Otranspose(_u20845, _u20846)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20845)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20845)), _u20846), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose__column__length ( axiom ) converted to clauses:
% 27.68/27.92 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(_u20847), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20847))), _u20848))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20849), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20847))), _u20848))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20847))), hAPP(c_List_Ofilter(tc_List_Olist(_u20847), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20847)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20849)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20847)))), c_List_Otranspose(_u20847, _u20848))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20847)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20847)), _u20848), _u20849))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose__aux__filter__tail ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_transpose__aux__filter__tail-1, axiom, ( ( c_List_Oconcat(tc_List_Olist(_u20850), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20850), tc_List_Olist(tc_List_Olist(_u20850))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20850)), _u20850, c_List_Olist_ONil(tc_List_Olist(_u20850)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20850), tc_List_Olist(tc_List_Olist(_u20850))), _u20850), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20850), tc_List_Olist(tc_List_Olist(_u20850)), tc_List_Olist(tc_List_Olist(_u20850))), c_List_Olist_OCons(tc_List_Olist(_u20850))), c_List_Olist_ONil(tc_List_Olist(_u20850)))))), _u20851)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20850), tc_List_Olist(_u20850)), c_List_Otl(_u20850)), hAPP(c_List_Ofilter(tc_List_Olist(_u20850), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20850)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20850), tc_List_Olist(_u20850), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20850)))), _u20851))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_nth__nth__transpose__sorted ( axiom ) converted to clauses:
% 27.68/27.92 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(_u20852), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20852))), _u20853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20854), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20852))), c_List_Otranspose(_u20852, _u20853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20855), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20852))), hAPP(c_List_Ofilter(tc_List_Olist(_u20852), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20852)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20854)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20852)))), _u20853)))) | ( hAPP(hAPP(c_List_Onth(_u20852), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20852)), c_List_Otranspose(_u20852, _u20853)), _u20854)), _u20855) = hAPP(hAPP(c_List_Onth(_u20852), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20852)), _u20853), _u20855)), _u20854)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transpose__transpose ( axiom ) converted to clauses:
% 27.68/27.92 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(_u20856), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20856))), _u20857))) | ( c_List_Otranspose(_u20856, c_List_Otranspose(_u20856, _u20857)) = c_List_OtakeWhile(tc_List_Olist(_u20856), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20856)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20856), tc_List_Olist(_u20856), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20856))), _u20857)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_transfer__nat__int__list__functions_I2_J ( axiom ) converted to clauses:
% 27.68/27.92 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))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: fact_takeWhile__map ( axiom ) converted to clauses:
% 27.68/27.92 cnf(fact_takeWhile__map-1, axiom, ( ( c_List_OtakeWhile(_u20858, _u20859, hAPP(hAPP(c_List_Omap(_u20860, _u20858), _u20861), _u20862)) = hAPP(hAPP(c_List_Omap(_u20860, _u20858), _u20861), c_List_OtakeWhile(_u20860, hAPP(c_Fun_Ocomp(_u20858, tc_HOL_Obool, _u20860, _u20859), _u20861), _u20862))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20863) | class_Lattices_Obounded__lattice(tc_fun(_u20864, _u20863)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Complete__Lattice_Ocomplete__lattice-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20865) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20866, _u20865)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Lattices_Obounded__lattice__top-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20867) | class_Lattices_Obounded__lattice__top(tc_fun(_u20868, _u20867)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20869) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20870, _u20869)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Lattices_Osemilattice__sup-1, axiom, ( ~class_Lattices_Olattice(_u20871) | class_Lattices_Osemilattice__sup(tc_fun(_u20872, _u20871)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u20873) | class_Lattices_Osemilattice__inf(tc_fun(_u20874, _u20873)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Lattices_Odistrib__lattice-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u20875) | class_Lattices_Odistrib__lattice(tc_fun(_u20876, _u20875)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u20877) | class_Lattices_Oboolean__algebra(tc_fun(_u20878, _u20877)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u20879) | class_Orderings_Opreorder(tc_fun(_u20880, _u20879)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20881) | ~class_Finite__Set_Ofinite(_u20882) | class_Finite__Set_Ofinite(tc_fun(_u20881, _u20882)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u20883) | class_Lattices_Olattice(tc_fun(_u20884, _u20883)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u20885) | class_Orderings_Oorder(tc_fun(_u20886, _u20885)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Orderings_Otop ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Orderings_Otop-1, axiom, ( ~class_Orderings_Otop(_u20887) | class_Orderings_Otop(tc_fun(_u20888, _u20887)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u20889) | class_Orderings_Oord(tc_fun(_u20890, _u20889)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u20891) | class_Orderings_Obot(tc_fun(_u20892, _u20891)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u20893) | class_Groups_Ouminus(tc_fun(_u20894, _u20893)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u20895) | class_Groups_Ominus(tc_fun(_u20896, _u20895)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Smallcheck_Osmall ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Smallcheck_Osmall-1, axiom, ( class_Smallcheck_Osmall(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Lattices_Olattice ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Int__Oint__Rings_Odvd ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Int__Oint__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Int_Oint) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Orderings_Owellorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Orderings_Owellorder-1, axiom, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Lattices_Olattice ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Orderings_Obot ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Nat__Onat__Rings_Odvd ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Nat__Onat__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice-1, axiom, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__top-1, axiom, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Orderings_Otop ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Orderings_Otop-1, axiom, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_String__Ochar__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_String__Ochar__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_String_Ochar) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_sum__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_sum__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20897) | ~class_Finite__Set_Ofinite(_u20898) | class_Finite__Set_Ofinite(tc_sum(_u20897, _u20898)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Option__Ooption__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Option__Ooption__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20899) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20899)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_String__Onibble__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_String__Onibble__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_String_Onibble) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_prod__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_prod__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20900) | ~class_Finite__Set_Ofinite(_u20901) | class_Finite__Set_Ofinite(tc_prod(_u20900, _u20901)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_prod__Smallcheck_Osmall ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_prod__Smallcheck_Osmall-1, axiom, ( ~class_Smallcheck_Osmall(_u20902) | ~class_Smallcheck_Osmall(_u20903) | class_Smallcheck_Osmall(tc_prod(_u20902, _u20903)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Product____Type__Ounit__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Product____Type__Ounit__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Product____Type__Ounit__Smallcheck_Osmall ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Product____Type__Ounit__Smallcheck_Osmall-1, axiom, ( class_Smallcheck_Osmall(tc_Product__Type_Ounit) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 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) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 27.68/27.92 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) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oorder ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oord ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ominus ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Power_Opower ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Power_Opower-1, axiom, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ozero ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Int_Onumber ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oone ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Odvd ( axiom ) converted to clauses:
% 27.68/27.92 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u20904), _u20905) = _u20905) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(hAPP(c_COMBK(_u20906, _u20907), _u20908), _u20909) = _u20908) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20910, _u20911, _u20912), _u20913), _u20914), _u20915) = hAPP(_u20913, hAPP(_u20914, _u20915))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20916, _u20917, _u20918), _u20919), _u20920), _u20921) = hAPP(hAPP(_u20919, _u20921), _u20920)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20922, _u20923, _u20924), _u20925), _u20926), _u20927) = hAPP(hAPP(_u20925, _u20927), hAPP(_u20926, _u20927))) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20928), _u20929)) | ( _u20928 = _u20929) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fequal__2-1, axiom, ( ( _u20930 != _u20931) | hBOOL(hAPP(hAPP(c_fequal, _u20930), _u20931)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fFalse__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fFalse__1-1, axiom, ( ~hBOOL(c_fFalse) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fTrue__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fTrue__1-1, axiom, ( hBOOL(c_fTrue) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fNot__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fNot__1-1, axiom, ( ~hBOOL(hAPP(c_fNot, _u20932)) | ~hBOOL(_u20932) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fNot__2 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fNot__2-1, axiom, ( hBOOL(_u20933) | hBOOL(hAPP(c_fNot, _u20933)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u20935) | ~hBOOL(_u20934) | hBOOL(hAPP(hAPP(c_fconj, _u20934), _u20935)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20936), _u20937)) | hBOOL(_u20936) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u20939) | ~hBOOL(hAPP(hAPP(c_fconj, _u20938), _u20939)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fdisj__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fdisj__1-1, axiom, ( ~hBOOL(_u20940) | hBOOL(hAPP(hAPP(c_fdisj, _u20940), _u20941)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fdisj__2 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fdisj__2-1, axiom, ( ~hBOOL(_u20942) | hBOOL(hAPP(hAPP(c_fdisj, _u20943), _u20942)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fdisj__3 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fdisj__3-1, axiom, ( hBOOL(_u20945) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20944), _u20945)) | hBOOL(_u20944) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fimplies__1 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fimplies__1-1, axiom, ( hBOOL(_u20946) | hBOOL(hAPP(hAPP(c_fimplies, _u20946), _u20947)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fimplies__2 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fimplies__2-1, axiom, ( ~hBOOL(_u20948) | hBOOL(hAPP(hAPP(c_fimplies, _u20949), _u20948)) )).
% 27.68/27.92
% 27.68/27.92 % Formula: help_c__fimplies__3 ( axiom ) converted to clauses:
% 27.68/27.92 cnf(help_c__fimplies__3-1, axiom, ( hBOOL(_u20951) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20950), _u20951)) | ~hBOOL(_u20950) )).
% 27.68/27.92
% 27.68/27.92 % Formula: conj_0 ( conjecture ) (definitionally) converted to clauses:
% 27.68/27.92 cnf(conj_0-1, negated_conjecture, ( v_P(skolem505, skolem506) )).
% 27.68/27.92 cnf(conj_0-2, negated_conjecture, ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, v_pn), skolem506, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), skolem507) )).
% 27.68/27.92 cnf(conj_0-3, negated_conjecture, ( ~v_Q(skolem505, skolem507) )).
% 27.68/27.92
% 27.68/27.92 % Problem matrix:
% 27.68/27.92 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 27.68/27.92 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 27.68/27.92 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 27.68/27.92 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ocom_Ocom__size(__eqx_0) = c_Com_Ocom_Ocom__size(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osize__class_Osize(__eqx_0) = c_Nat_Osize__class_Osize(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Obool_Obool__size(__eqx_0) = c_HOL_Obool_Obool__size(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( c_String_Ochar_Ochar__size(__eqx_0) = c_String_Ochar_Ochar__size(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Onat_Onat__size(__eqx_0) = c_Nat_Onat_Onat__size(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-10, 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)) )).
% 27.68/27.92 cnf(matrix-11, 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_String_Ochar_Ochar__rec(__eqx_0, __eqx_1, __eqx_2) = c_String_Ochar_Ochar__rec(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_String_Ochar_Ochar__case(__eqx_0, __eqx_1, __eqx_2) = c_String_Ochar_Ochar__case(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-15, plain, ( ( __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)) )).
% 27.68/27.92 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( c_Natural_Oevalc(__eqx_0) = c_Natural_Oevalc(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-17, 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)) )).
% 27.68/27.92 cnf(matrix-18, 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)) )).
% 27.68/27.92 cnf(matrix-19, 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)) )).
% 27.68/27.92 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ovname_OLoc(__eqx_0) = c_Com_Ovname_OLoc(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Othe(__eqx_0) = c_Option_Othe(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-22, 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)) )).
% 27.68/27.92 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ovname_Ovname__size(__eqx_0) = c_Com_Ovname_Ovname__size(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Com_Ovname_Ovname__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Com_Ovname_Ovname__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Com_Ovname_Ovname__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Com_Ovname_Ovname__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_ONone(__eqx_0) = c_Option_Ooption_ONone(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_OSome(__eqx_0) = c_Option_Ooption_OSome(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-28, 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)) )).
% 27.68/27.92 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ovname_OGlb(__eqx_0) = c_Com_Ovname_OGlb(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oplus__class_Oplus(__eqx_0) = c_Groups_Oplus__class_Oplus(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-32, 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)) )).
% 27.68/27.92 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_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)) )).
% 27.68/27.92 cnf(matrix-34, 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)) )).
% 27.68/27.92 cnf(matrix-35, 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)) )).
% 27.68/27.92 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__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)) )).
% 27.68/27.92 cnf(matrix-37, 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)) )).
% 27.68/27.92 cnf(matrix-38, 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)) )).
% 27.68/27.92 cnf(matrix-39, 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)) )).
% 27.68/27.92 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless(__eqx_0) = c_Orderings_Oord__class_Oless(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-41, 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)) )).
% 27.68/27.92 cnf(matrix-42, 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)) )).
% 27.68/27.92 cnf(matrix-43, 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)) )).
% 27.68/27.92 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_sum(__eqx_0, __eqx_1) = tc_sum(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-45, 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)) )).
% 27.68/27.92 cnf(matrix-46, 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)) )).
% 27.68/27.92 cnf(matrix-47, plain, ( ( __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)) )).
% 27.68/27.92 cnf(matrix-48, 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)) )).
% 27.68/27.92 cnf(matrix-49, 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0) = c_Groups_Ouminus__class_Ouminus(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless__eq(__eqx_0) = c_Orderings_Oord__class_Oless__eq(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Odiv__class_Odiv(__eqx_0) = c_Divides_Odiv__class_Odiv(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ominus__class_Ominus(__eqx_0) = c_Groups_Ominus__class_Ominus(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oabs__class_Oabs(__eqx_0) = c_Groups_Oabs__class_Oabs(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Onumber__class_Onumber__of(__eqx_0) = c_Int_Onumber__class_Onumber__of(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Osucc(__eqx_0) = c_Int_Osucc(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Opred(__eqx_0) = c_Int_Opred(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Oinverse__class_Odivide(__eqx_0) = c_Rings_Oinverse__class_Odivide(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_OSuc__code__numeral(__eqx_0) = c_Code__Numeral_OSuc__code__numeral(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Oadjust(__eqx_0) = c_Divides_Oadjust(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ( c_If(__eqx_0) = c_If(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-96, 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)) )).
% 27.68/27.92 cnf(matrix-97, 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-101, 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_COMBK(__eqx_0, __eqx_1) = c_COMBK(__eqy_0, __eqy_1)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omin(__eqx_0) = c_Orderings_Oord__class_Omin(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random_Orange(__eqx_0) = c_Random_Orange(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__not__seq(__eqx_0) = c_New__DSequence_Opos__not__seq(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohb__not__seq(__eqx_0) = c_Lazy__Sequence_Ohb__not__seq(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omax(__eqx_0) = c_Orderings_Oord__class_Omax(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ozero__frac(__eqx_0) = c_Nitpick_Ozero__frac(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-124, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Oone__frac(__eqx_0) = c_Nitpick_Oone__frac(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ofrac(__eqx_0) = c_Nitpick_Ofrac(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Odenom(__eqx_0) = c_Nitpick_Odenom(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Onum(__eqx_0) = c_Nitpick_Onum(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oempty(__eqx_0) = c_Lazy__Sequence_Oempty(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Lazy__Sequence_Olazy__sequence(__eqx_0) = tc_Lazy__Sequence_Olazy__sequence(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohit__bound(__eqx_0) = c_Lazy__Sequence_Ohit__bound(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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_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)) )).
% 27.68/27.92 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_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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-148, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__empty(__eqx_0) = c_New__DSequence_Opos__empty(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-155, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Oempty(__eqx_0) = c_DSequence_Oempty(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-156, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Ounion(__eqx_0) = c_DSequence_Ounion(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-157, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Osingle(__eqx_0) = c_DSequence_Osingle(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quickcheck_Obeyond(__eqx_0, __eqx_1) = c_Quickcheck_Obeyond(__eqy_0, __eqy_1)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-160, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random__Sequence_Osingle(__eqx_0) = c_Random__Sequence_Osingle(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-161, 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)) )).
% 27.68/27.92 cnf(matrix-162, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Odvd__class_Odvd(__eqx_0) = c_Rings_Odvd__class_Odvd(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OlessThan(__eqx_0) = c_SetInterval_Oord__class_OlessThan(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-166, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-167, 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)) )).
% 27.68/27.92 cnf(matrix-168, 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)) )).
% 27.68/27.92 cnf(matrix-169, 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)) )).
% 27.68/27.92 cnf(matrix-170, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ocard(__eqx_0) = c_Finite__Set_Ocard(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-171, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OgreaterThan(__eqx_0) = c_SetInterval_Oord__class_OgreaterThan(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-172, 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)) )).
% 27.68/27.92 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatMost(__eqx_0) = c_SetInterval_Oord__class_OatMost(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-174, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__sup__class_Osup(__eqx_0) = c_Lattices_Osemilattice__sup__class_Osup(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-175, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatLeast(__eqx_0) = c_SetInterval_Oord__class_OatLeast(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-176, 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)) )).
% 27.68/27.92 cnf(matrix-177, 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)) )).
% 27.68/27.92 cnf(matrix-178, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-179, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-180, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ofinite(__eqx_0) = c_Finite__Set_Ofinite(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-181, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-182, 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)) )).
% 27.68/27.92 cnf(matrix-183, 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)) )).
% 27.68/27.92 cnf(matrix-184, 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)) )).
% 27.68/27.92 cnf(matrix-185, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Oset(__eqx_0, __eqx_1) = c_Option_Oset(__eqy_0, __eqy_1)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-187, 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)) )).
% 27.68/27.92 cnf(matrix-188, 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)) )).
% 27.68/27.92 cnf(matrix-189, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Omeasure(__eqx_0) = c_Wellfounded_Omeasure(__eqy_0)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 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)) )).
% 27.68/27.92 cnf(matrix-192, 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)) )).
% 27.68/27.92 cnf(matrix-193, 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)) )).
% 27.68/27.92 cnf(matrix-194, 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)) )).
% 27.68/27.92 cnf(matrix-195, 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)) )).
% 27.68/27.92 cnf(matrix-196, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_ONats(__eqx_0) = c_Nat_Osemiring__1__class_ONats(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-197, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-198, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_Otriple_Otriple(__eqx_0) = c_Hoare__Mirabelle_Otriple_Otriple(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-199, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_OInts(__eqx_0) = c_Int_Oring__1__class_OInts(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-200, 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)) )).
% 27.68/27.92 cnf(matrix-201, 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)) )).
% 27.68/27.92 cnf(matrix-202, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_OMGT(__eqx_0) = c_Hoare__Mirabelle_OMGT(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-203, 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)) )).
% 27.68/27.92 cnf(matrix-204, 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)) )).
% 27.68/27.92 cnf(matrix-205, 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)) )).
% 27.68/27.92 cnf(matrix-206, 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)) )).
% 27.68/27.92 cnf(matrix-207, 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)) )).
% 27.68/27.92 cnf(matrix-208, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Ofinite__psubset(__eqx_0) = c_Wellfounded_Ofinite__psubset(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-209, 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)) )).
% 27.68/27.92 cnf(matrix-210, 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)) )).
% 27.68/27.92 cnf(matrix-211, 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)) )).
% 27.68/27.92 cnf(matrix-212, 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)) )).
% 27.68/27.92 cnf(matrix-213, 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)) )).
% 27.68/27.92 cnf(matrix-214, 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)) )).
% 27.68/27.92 cnf(matrix-215, 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)) )).
% 27.68/27.92 cnf(matrix-216, 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)) )).
% 27.68/27.92 cnf(matrix-217, 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)) )).
% 27.68/27.92 cnf(matrix-218, 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)) )).
% 27.68/27.92 cnf(matrix-219, 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)) )).
% 27.68/27.92 cnf(matrix-220, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OField(__eqx_0) = c_Relation_OField(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-221, 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)) )).
% 27.68/27.92 cnf(matrix-222, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OPow(__eqx_0) = c_Set_OPow(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-223, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Predicate_OPowp(__eqx_0, __eqx_1) = c_Predicate_OPowp(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-224, 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)) )).
% 27.68/27.92 cnf(matrix-225, 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)) )).
% 27.68/27.92 cnf(matrix-226, 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)) )).
% 27.68/27.92 cnf(matrix-227, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_ORep__Frac(__eqx_0) = c_Nitpick_ORep__Frac(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-228, 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)) )).
% 27.68/27.92 cnf(matrix-229, 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)) )).
% 27.68/27.92 cnf(matrix-230, plain, ( ( __eqx_0 != __eqy_0) | ( c_Equiv__Relations_Oquotient(__eqx_0) = c_Equiv__Relations_Oquotient(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-231, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-232, 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)) )).
% 27.68/27.92 cnf(matrix-233, 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)) )).
% 27.68/27.92 cnf(matrix-234, 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)) )).
% 27.68/27.92 cnf(matrix-235, 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)) )).
% 27.68/27.92 cnf(matrix-236, 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)) )).
% 27.68/27.92 cnf(matrix-237, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_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)) )).
% 27.68/27.92 cnf(matrix-238, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-239, 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)) )).
% 27.68/27.92 cnf(matrix-240, 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)) )).
% 27.68/27.92 cnf(matrix-241, plain, ( ( __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)) )).
% 27.68/27.92 cnf(matrix-242, 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)) )).
% 27.68/27.92 cnf(matrix-243, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OCollect(__eqx_0) = c_Set_OCollect(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-244, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_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)) )).
% 27.68/27.92 cnf(matrix-245, 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)) )).
% 27.68/27.92 cnf(matrix-246, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than(__eqx_0) = c_Int_Oint__ge__less__than(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-247, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than2(__eqx_0) = c_Int_Oint__ge__less__than2(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-248, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OEx(__eqx_0) = c_HOL_OEx(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-249, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-250, 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)) )).
% 27.68/27.92 cnf(matrix-251, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-252, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olenlex(__eqx_0, __eqx_1) = c_List_Olenlex(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-253, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olex(__eqx_0, __eqx_1) = c_List_Olex(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-254, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexn(__eqx_0, __eqx_1) = c_List_Olexn(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-255, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ORange(__eqx_0, __eqx_1) = c_Relation_ORange(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-256, 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)) )).
% 27.68/27.92 cnf(matrix-257, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ODomain(__eqx_0, __eqx_1) = c_Relation_ODomain(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-258, 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)) )).
% 27.68/27.92 cnf(matrix-259, 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)) )).
% 27.68/27.92 cnf(matrix-260, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Opos__single(__eqx_0) = c_New__Random__Sequence_Opos__single(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-261, 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)) )).
% 27.68/27.92 cnf(matrix-262, 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)) )).
% 27.68/27.92 cnf(matrix-263, 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)) )).
% 27.68/27.92 cnf(matrix-264, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Oneg__single(__eqx_0) = c_New__Random__Sequence_Oneg__single(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-265, 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)) )).
% 27.68/27.92 cnf(matrix-266, 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)) )).
% 27.68/27.92 cnf(matrix-267, 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)) )).
% 27.68/27.92 cnf(matrix-268, 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)) )).
% 27.68/27.92 cnf(matrix-269, 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)) )).
% 27.68/27.92 cnf(matrix-270, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OId(__eqx_0) = c_Relation_OId(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-271, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oconverse(__eqx_0, __eqx_1) = c_Relation_Oconverse(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-272, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Ocompow(__eqx_0, __eqx_1) = c_Nat_Ocompow(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-273, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Ofunpow(__eqx_0) = c_Nat_Ofunpow(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-274, 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)) )).
% 27.68/27.92 cnf(matrix-275, 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)) )).
% 27.68/27.92 cnf(matrix-276, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OAll(__eqx_0) = c_HOL_OAll(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-277, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBall(__eqx_0) = c_Set_OBall(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-278, 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)) )).
% 27.68/27.92 cnf(matrix-279, 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)) )).
% 27.68/27.92 cnf(matrix-280, 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)) )).
% 27.68/27.92 cnf(matrix-281, 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)) )).
% 27.68/27.92 cnf(matrix-282, 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)) )).
% 27.68/27.92 cnf(matrix-283, 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)) )).
% 27.68/27.92 cnf(matrix-284, 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)) )).
% 27.68/27.92 cnf(matrix-285, 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)) )).
% 27.68/27.92 cnf(matrix-286, 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)) )).
% 27.68/27.92 cnf(matrix-287, plain, ( ( __eqx_0 != __eqy_0) | ( c_Smallcheck_Osmall__class_Osmall(__eqx_0) = c_Smallcheck_Osmall__class_Osmall(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-288, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omap(__eqx_0, __eqx_1) = c_List_Omap(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-289, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( 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)) )).
% 27.68/27.92 cnf(matrix-290, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Omap(__eqx_0, __eqx_1) = c_Option_Omap(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-291, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oset(__eqx_0) = c_List_Oset(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-292, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odistinct(__eqx_0) = c_List_Odistinct(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-293, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupto(__eqx_0, __eqx_1) = c_List_Oupto(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-294, 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)) )).
% 27.68/27.92 cnf(matrix-295, 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)) )).
% 27.68/27.92 cnf(matrix-296, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ozip(__eqx_0, __eqx_1) = c_List_Ozip(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-297, 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)) )).
% 27.68/27.92 cnf(matrix-298, 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)) )).
% 27.68/27.92 cnf(matrix-299, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel(__eqx_0, __eqx_1) = c_List_Olistrel(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-300, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_OCons(__eqx_0) = c_List_Olist_OCons(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-301, 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)) )).
% 27.68/27.92 cnf(matrix-302, 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)) )).
% 27.68/27.92 cnf(matrix-303, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Opick(__eqx_0, __eqx_1) = c_Random_Opick(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-304, 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)) )).
% 27.68/27.92 cnf(matrix-305, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omonoid__add__class_Olistsum(__eqx_0) = c_List_Omonoid__add__class_Olistsum(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-306, 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)) )).
% 27.68/27.92 cnf(matrix-307, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_ONil(__eqx_0) = c_List_Olist_ONil(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-308, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect(__eqx_0, __eqx_1) = c_Random_Oselect(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-309, 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)) )).
% 27.68/27.92 cnf(matrix-310, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistset(__eqx_0, __eqx_1) = c_List_Olistset(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-311, 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)) )).
% 27.68/27.92 cnf(matrix-312, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Onth(__eqx_0) = c_List_Onth(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-313, 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)) )).
% 27.68/27.92 cnf(matrix-314, 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)) )).
% 27.68/27.92 cnf(matrix-315, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oappend(__eqx_0) = c_List_Oappend(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-316, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexord(__eqx_0, __eqx_1) = c_List_Olexord(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-317, 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)) )).
% 27.68/27.92 cnf(matrix-318, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otake(__eqx_0) = c_List_Otake(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-319, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel1(__eqx_0, __eqx_1) = c_List_Olistrel1(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-320, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orotate1(__eqx_0) = c_List_Orotate1(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-321, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odrop(__eqx_0) = c_List_Odrop(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-322, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Ohd(__eqx_0) = c_List_Ohd(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-323, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otl(__eqx_0) = c_List_Otl(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-324, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Orotate(__eqx_0, __eqx_1) = c_List_Orotate(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-325, 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)) )).
% 27.68/27.92 cnf(matrix-326, 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)) )).
% 27.68/27.92 cnf(matrix-327, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olists(__eqx_0, __eqx_1) = c_List_Olists(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-328, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olast(__eqx_0, __eqx_1) = c_List_Olast(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-329, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Obutlast(__eqx_0, __eqx_1) = c_List_Obutlast(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-330, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ofilter(__eqx_0, __eqx_1) = c_List_Ofilter(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-331, 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)) )).
% 27.68/27.92 cnf(matrix-332, 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)) )).
% 27.68/27.92 cnf(matrix-333, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Otranspose(__eqx_0, __eqx_1) = c_List_Otranspose(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-334, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupt(__eqx_0, __eqx_1) = c_List_Oupt(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-335, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otranspose__rel(__eqx_0) = c_List_Otranspose__rel(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-336, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orev(__eqx_0) = c_List_Orev(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-337, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oconcat(__eqx_0, __eqx_1) = c_List_Oconcat(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-338, 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)) )).
% 27.68/27.92 cnf(matrix-339, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oreturn__list(__eqx_0) = c_List_Oreturn__list(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-340, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-341, 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)) )).
% 27.68/27.92 cnf(matrix-342, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem3(__eqx_0, __eqx_1, __eqx_2) = skolem3(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-343, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem4(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem4(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-344, 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)) )).
% 27.68/27.92 cnf(matrix-345, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem6(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem6(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-346, 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)) )).
% 27.68/27.92 cnf(matrix-347, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem8(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem8(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-348, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem9(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem9(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 cnf(matrix-349, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem10(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem10(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-350, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem11(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem11(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-351, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem12(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem12(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-352, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem13(__eqx_0, __eqx_1, __eqx_2) = skolem13(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-353, 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)) )).
% 27.68/27.92 cnf(matrix-354, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem15(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem15(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 cnf(matrix-355, plain, ( ( __eqx_0 != __eqy_0) | ( skolem16(__eqx_0) = skolem16(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-356, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem17(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem17(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 cnf(matrix-357, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem18(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem18(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-358, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem19(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem19(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-359, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem20(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem20(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 cnf(matrix-360, 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)) )).
% 27.68/27.92 cnf(matrix-361, plain, ( ( __eqx_0 != __eqy_0) | ( skolem22(__eqx_0) = skolem22(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-362, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem23(__eqx_0, __eqx_1) = skolem23(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-363, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem24(__eqx_0, __eqx_1) = skolem24(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-364, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem25(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem25(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-365, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem26(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem26(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-366, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem27(__eqx_0, __eqx_1) = skolem27(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-367, plain, ( ( __eqx_0 != __eqy_0) | ( skolem28(__eqx_0) = skolem28(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-368, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem29(__eqx_0, __eqx_1) = skolem29(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-369, plain, ( ( __eqx_0 != __eqy_0) | ( skolem30(__eqx_0) = skolem30(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-370, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem31(__eqx_0, __eqx_1) = skolem31(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-371, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem32(__eqx_0, __eqx_1) = skolem32(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-372, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem33(__eqx_0, __eqx_1) = skolem33(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-373, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem34(__eqx_0, __eqx_1) = skolem34(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-374, plain, ( ( __eqx_0 != __eqy_0) | ( skolem35(__eqx_0) = skolem35(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-375, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem36(__eqx_0, __eqx_1) = skolem36(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-376, 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)) )).
% 27.68/27.92 cnf(matrix-377, 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)) )).
% 27.68/27.92 cnf(matrix-378, plain, ( ( __eqx_0 != __eqy_0) | ( skolem39(__eqx_0) = skolem39(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-379, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem40(__eqx_0, __eqx_1) = skolem40(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-380, plain, ( ( __eqx_0 != __eqy_0) | ( skolem41(__eqx_0) = skolem41(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-381, 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)) )).
% 27.68/27.92 cnf(matrix-382, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem43(__eqx_0, __eqx_1) = skolem43(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-383, plain, ( ( __eqx_0 != __eqy_0) | ( skolem44(__eqx_0) = skolem44(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-384, plain, ( ( __eqx_0 != __eqy_0) | ( skolem45(__eqx_0) = skolem45(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-385, plain, ( ( __eqx_0 != __eqy_0) | ( skolem46(__eqx_0) = skolem46(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-386, plain, ( ( __eqx_0 != __eqy_0) | ( skolem47(__eqx_0) = skolem47(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-387, plain, ( ( __eqx_0 != __eqy_0) | ( skolem48(__eqx_0) = skolem48(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-388, plain, ( ( __eqx_0 != __eqy_0) | ( skolem49(__eqx_0) = skolem49(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-389, plain, ( ( __eqx_0 != __eqy_0) | ( skolem50(__eqx_0) = skolem50(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-390, plain, ( ( __eqx_0 != __eqy_0) | ( skolem51(__eqx_0) = skolem51(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-391, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem52(__eqx_0, __eqx_1) = skolem52(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-392, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem53(__eqx_0, __eqx_1) = skolem53(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-393, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem54(__eqx_0, __eqx_1, __eqx_2) = skolem54(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-394, 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)) )).
% 27.68/27.92 cnf(matrix-395, 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)) )).
% 27.68/27.92 cnf(matrix-396, 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)) )).
% 27.68/27.92 cnf(matrix-397, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem58(__eqx_0, __eqx_1) = skolem58(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-398, 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)) )).
% 27.68/27.92 cnf(matrix-399, 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)) )).
% 27.68/27.92 cnf(matrix-400, 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)) )).
% 27.68/27.92 cnf(matrix-401, 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)) )).
% 27.68/27.92 cnf(matrix-402, 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)) )).
% 27.68/27.92 cnf(matrix-403, 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)) )).
% 27.68/27.92 cnf(matrix-404, 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)) )).
% 27.68/27.92 cnf(matrix-405, 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)) )).
% 27.68/27.92 cnf(matrix-406, 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)) )).
% 27.68/27.92 cnf(matrix-407, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem68(__eqx_0, __eqx_1) = skolem68(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-408, 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)) )).
% 27.68/27.92 cnf(matrix-409, 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)) )).
% 27.68/27.92 cnf(matrix-410, 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)) )).
% 27.68/27.92 cnf(matrix-411, 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)) )).
% 27.68/27.92 cnf(matrix-412, 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)) )).
% 27.68/27.92 cnf(matrix-413, 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)) )).
% 27.68/27.92 cnf(matrix-414, 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)) )).
% 27.68/27.92 cnf(matrix-415, 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)) )).
% 27.68/27.92 cnf(matrix-416, 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)) )).
% 27.68/27.92 cnf(matrix-417, 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)) )).
% 27.68/27.92 cnf(matrix-418, 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)) )).
% 27.68/27.92 cnf(matrix-419, 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)) )).
% 27.68/27.92 cnf(matrix-420, 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)) )).
% 27.68/27.92 cnf(matrix-421, 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)) )).
% 27.68/27.92 cnf(matrix-422, 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)) )).
% 27.68/27.92 cnf(matrix-423, 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)) )).
% 27.68/27.92 cnf(matrix-424, 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)) )).
% 27.68/27.92 cnf(matrix-425, 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)) )).
% 27.68/27.92 cnf(matrix-426, 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)) )).
% 27.68/27.92 cnf(matrix-427, 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)) )).
% 27.68/27.92 cnf(matrix-428, 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)) )).
% 27.68/27.92 cnf(matrix-429, 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)) )).
% 27.68/27.92 cnf(matrix-430, 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)) )).
% 27.68/27.92 cnf(matrix-431, 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)) )).
% 27.68/27.92 cnf(matrix-432, 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)) )).
% 27.68/27.92 cnf(matrix-433, 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)) )).
% 27.68/27.92 cnf(matrix-434, 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)) )).
% 27.68/27.92 cnf(matrix-435, 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)) )).
% 27.68/27.92 cnf(matrix-436, 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)) )).
% 27.68/27.92 cnf(matrix-437, 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)) )).
% 27.68/27.92 cnf(matrix-438, 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)) )).
% 27.68/27.92 cnf(matrix-439, plain, ( ( __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)) )).
% 27.68/27.92 cnf(matrix-440, plain, ( ( __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)) )).
% 27.68/27.92 cnf(matrix-441, 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)) )).
% 27.68/27.92 cnf(matrix-442, 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)) )).
% 27.68/27.92 cnf(matrix-443, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem104(__eqx_0, __eqx_1) = skolem104(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-444, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem105(__eqx_0, __eqx_1) = skolem105(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-445, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem106(__eqx_0, __eqx_1) = skolem106(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-446, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem107(__eqx_0, __eqx_1) = skolem107(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-447, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem108(__eqx_0, __eqx_1, __eqx_2) = skolem108(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-448, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem109(__eqx_0, __eqx_1) = skolem109(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-449, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem110(__eqx_0, __eqx_1) = skolem110(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-450, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem111(__eqx_0, __eqx_1) = skolem111(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-451, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem112(__eqx_0, __eqx_1) = skolem112(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-452, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem113(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem113(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-453, 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)) )).
% 27.68/27.92 cnf(matrix-454, 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)) )).
% 27.68/27.92 cnf(matrix-455, 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)) )).
% 27.68/27.92 cnf(matrix-456, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem117(__eqx_0, __eqx_1) = skolem117(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-457, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem118(__eqx_0, __eqx_1) = skolem118(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-458, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem119(__eqx_0, __eqx_1) = skolem119(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-459, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem120(__eqx_0, __eqx_1) = skolem120(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-460, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem121(__eqx_0, __eqx_1) = skolem121(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-461, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem122(__eqx_0, __eqx_1) = skolem122(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-462, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem123(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem123(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-463, 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)) )).
% 27.68/27.92 cnf(matrix-464, 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)) )).
% 27.68/27.92 cnf(matrix-465, 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)) )).
% 27.68/27.92 cnf(matrix-466, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem127(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem127(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-467, 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)) )).
% 27.68/27.92 cnf(matrix-468, 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)) )).
% 27.68/27.92 cnf(matrix-469, 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)) )).
% 27.68/27.92 cnf(matrix-470, 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)) )).
% 27.68/27.92 cnf(matrix-471, 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)) )).
% 27.68/27.92 cnf(matrix-472, 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)) )).
% 27.68/27.92 cnf(matrix-473, 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)) )).
% 27.68/27.92 cnf(matrix-474, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem135(__eqx_0, __eqx_1) = skolem135(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-475, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem136(__eqx_0, __eqx_1) = skolem136(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-476, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem137(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem137(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-477, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem138(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem138(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-478, plain, ( ( __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) | ( skolem139(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem139(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 27.68/27.92 cnf(matrix-479, plain, ( ( __eqx_0 != __eqy_0) | ( skolem140(__eqx_0) = skolem140(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-480, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem141(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem141(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-481, 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)) )).
% 27.68/27.92 cnf(matrix-482, 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)) )).
% 27.68/27.92 cnf(matrix-483, 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)) )).
% 27.68/27.92 cnf(matrix-484, 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)) )).
% 27.68/27.92 cnf(matrix-485, 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)) )).
% 27.68/27.92 cnf(matrix-486, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem147(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem147(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-487, 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)) )).
% 27.68/27.92 cnf(matrix-488, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem149(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem149(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-489, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem150(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem150(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-490, 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)) )).
% 27.68/27.92 cnf(matrix-491, 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)) )).
% 27.68/27.92 cnf(matrix-492, 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)) )).
% 27.68/27.92 cnf(matrix-493, 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)) )).
% 27.68/27.92 cnf(matrix-494, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem155(__eqx_0, __eqx_1) = skolem155(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-495, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem156(__eqx_0, __eqx_1) = skolem156(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-496, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem157(__eqx_0, __eqx_1, __eqx_2) = skolem157(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-497, 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)) )).
% 27.68/27.92 cnf(matrix-498, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem159(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem159(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-499, 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)) )).
% 27.68/27.92 cnf(matrix-500, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem161(__eqx_0, __eqx_1, __eqx_2) = skolem161(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-501, plain, ( ( __eqx_0 != __eqy_0) | ( skolem162(__eqx_0) = skolem162(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-502, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem163(__eqx_0, __eqx_1) = skolem163(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-503, plain, ( ( __eqx_0 != __eqy_0) | ( skolem164(__eqx_0) = skolem164(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-504, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem165(__eqx_0, __eqx_1) = skolem165(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-505, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem166(__eqx_0, __eqx_1, __eqx_2) = skolem166(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-506, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem167(__eqx_0, __eqx_1, __eqx_2) = skolem167(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-507, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem168(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem168(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-508, 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)) )).
% 27.68/27.92 cnf(matrix-509, 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)) )).
% 27.68/27.92 cnf(matrix-510, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem171(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem171(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-511, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem172(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem172(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-512, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem173(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem173(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-513, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem174(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem174(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-514, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem175(__eqx_0, __eqx_1) = skolem175(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-515, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem176(__eqx_0, __eqx_1) = skolem176(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-516, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem177(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem177(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-517, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem178(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem178(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-518, 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)) )).
% 27.68/27.92 cnf(matrix-519, 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)) )).
% 27.68/27.92 cnf(matrix-520, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem181(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem181(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-521, 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)) )).
% 27.68/27.92 cnf(matrix-522, 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)) )).
% 27.68/27.92 cnf(matrix-523, plain, ( ( __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) | ( skolem184(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem184(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 27.68/27.92 cnf(matrix-524, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem185(__eqx_0, __eqx_1) = skolem185(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-525, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem186(__eqx_0, __eqx_1, __eqx_2) = skolem186(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-526, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem187(__eqx_0, __eqx_1, __eqx_2) = skolem187(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-527, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem188(__eqx_0, __eqx_1, __eqx_2) = skolem188(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-528, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem189(__eqx_0, __eqx_1, __eqx_2) = skolem189(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-529, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem190(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem190(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-530, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem191(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem191(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-531, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem192(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem192(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-532, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem193(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem193(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-533, 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)) )).
% 27.68/27.92 cnf(matrix-534, 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)) )).
% 27.68/27.92 cnf(matrix-535, 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)) )).
% 27.68/27.92 cnf(matrix-536, 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)) )).
% 27.68/27.92 cnf(matrix-537, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem198(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem198(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-538, 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)) )).
% 27.68/27.92 cnf(matrix-539, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem200(__eqx_0, __eqx_1, __eqx_2) = skolem200(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-540, 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)) )).
% 27.68/27.92 cnf(matrix-541, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem202(__eqx_0, __eqx_1) = skolem202(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-542, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem203(__eqx_0, __eqx_1) = skolem203(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-543, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem204(__eqx_0, __eqx_1) = skolem204(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-544, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem205(__eqx_0, __eqx_1) = skolem205(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-545, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem206(__eqx_0, __eqx_1) = skolem206(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-546, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem207(__eqx_0, __eqx_1) = skolem207(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-547, plain, ( ( __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) | ( skolem208(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem208(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 27.68/27.92 cnf(matrix-548, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem209(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem209(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 27.68/27.92 cnf(matrix-549, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem210(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem210(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-550, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem211(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem211(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-551, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem212(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem212(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-552, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem213(__eqx_0, __eqx_1) = skolem213(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-553, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem214(__eqx_0, __eqx_1) = skolem214(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-554, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem215(__eqx_0, __eqx_1) = skolem215(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-555, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem216(__eqx_0, __eqx_1) = skolem216(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-556, 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)) )).
% 27.68/27.92 cnf(matrix-557, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem218(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem218(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-558, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem219(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem219(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 cnf(matrix-559, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem220(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem220(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-560, 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)) )).
% 27.68/27.92 cnf(matrix-561, 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)) )).
% 27.68/27.92 cnf(matrix-562, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem223(__eqx_0, __eqx_1, __eqx_2) = skolem223(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-563, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem224(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem224(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-564, 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)) )).
% 27.68/27.92 cnf(matrix-565, 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)) )).
% 27.68/27.92 cnf(matrix-566, 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)) )).
% 27.68/27.92 cnf(matrix-567, 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)) )).
% 27.68/27.92 cnf(matrix-568, 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)) )).
% 27.68/27.92 cnf(matrix-569, 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)) )).
% 27.68/27.92 cnf(matrix-570, 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)) )).
% 27.68/27.92 cnf(matrix-571, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem232(__eqx_0, __eqx_1, __eqx_2) = skolem232(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-572, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem233(__eqx_0, __eqx_1) = skolem233(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-573, 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)) )).
% 27.68/27.92 cnf(matrix-574, 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)) )).
% 27.68/27.92 cnf(matrix-575, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem236(__eqx_0, __eqx_1, __eqx_2) = skolem236(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-576, 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)) )).
% 27.68/27.92 cnf(matrix-577, 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)) )).
% 27.68/27.92 cnf(matrix-578, 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)) )).
% 27.68/27.92 cnf(matrix-579, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem240(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem240(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-580, 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)) )).
% 27.68/27.92 cnf(matrix-581, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem242(__eqx_0, __eqx_1, __eqx_2) = skolem242(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-582, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem243(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem243(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-583, 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)) )).
% 27.68/27.92 cnf(matrix-584, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem245(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem245(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-585, 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)) )).
% 27.68/27.92 cnf(matrix-586, 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)) )).
% 27.68/27.92 cnf(matrix-587, plain, ( ( __eqx_0 != __eqy_0) | ( skolem248(__eqx_0) = skolem248(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-588, plain, ( ( __eqx_0 != __eqy_0) | ( skolem249(__eqx_0) = skolem249(__eqy_0)) )).
% 27.68/27.92 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) | ( 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)) )).
% 27.68/27.92 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) | ( 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)) )).
% 27.68/27.92 cnf(matrix-591, 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)) )).
% 27.68/27.92 cnf(matrix-592, 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)) )).
% 27.68/27.92 cnf(matrix-593, 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)) )).
% 27.68/27.92 cnf(matrix-594, plain, ( ( __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) | ( skolem255(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem255(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 27.68/27.92 cnf(matrix-595, plain, ( ( __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)) )).
% 27.68/27.92 cnf(matrix-596, plain, ( ( __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) | ( skolem257(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem257(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 27.68/27.92 cnf(matrix-597, plain, ( ( __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)) )).
% 27.68/27.92 cnf(matrix-598, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem259(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem259(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 27.68/27.92 cnf(matrix-599, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem260(__eqx_0, __eqx_1, __eqx_2) = skolem260(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-600, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem261(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem261(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-601, 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)) )).
% 27.68/27.92 cnf(matrix-602, 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)) )).
% 27.68/27.92 cnf(matrix-603, 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)) )).
% 27.68/27.92 cnf(matrix-604, 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)) )).
% 27.68/27.92 cnf(matrix-605, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem266(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem266(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-606, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem267(__eqx_0, __eqx_1) = skolem267(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-607, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem268(__eqx_0, __eqx_1) = skolem268(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-608, plain, ( ( __eqx_0 != __eqy_0) | ( skolem269(__eqx_0) = skolem269(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-609, plain, ( ( __eqx_0 != __eqy_0) | ( skolem270(__eqx_0) = skolem270(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-610, plain, ( ( __eqx_0 != __eqy_0) | ( skolem271(__eqx_0) = skolem271(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-611, plain, ( ( __eqx_0 != __eqy_0) | ( skolem272(__eqx_0) = skolem272(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-612, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem273(__eqx_0, __eqx_1, __eqx_2) = skolem273(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-613, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem274(__eqx_0, __eqx_1, __eqx_2) = skolem274(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-614, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem275(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem275(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-615, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem276(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem276(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-616, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem277(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem277(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-617, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem278(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem278(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-618, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem279(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem279(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-619, 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)) )).
% 27.68/27.92 cnf(matrix-620, 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)) )).
% 27.68/27.92 cnf(matrix-621, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem282(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem282(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-622, 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)) )).
% 27.68/27.92 cnf(matrix-623, plain, ( ( __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) | ( skolem284(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem284(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 27.68/27.92 cnf(matrix-624, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem285(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem285(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-625, 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)) )).
% 27.68/27.92 cnf(matrix-626, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem287(__eqx_0, __eqx_1, __eqx_2) = skolem287(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-627, 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)) )).
% 27.68/27.92 cnf(matrix-628, 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)) )).
% 27.68/27.92 cnf(matrix-629, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem290(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem290(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-630, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem291(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem291(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-631, 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)) )).
% 27.68/27.92 cnf(matrix-632, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem293(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem293(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-633, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem294(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem294(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-634, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem295(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem295(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-635, plain, ( ( __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)) )).
% 27.68/27.92 cnf(matrix-636, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem297(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem297(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-637, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( 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)) )).
% 27.68/27.92 cnf(matrix-638, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem299(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem299(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 cnf(matrix-639, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem300(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem300(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-640, 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)) )).
% 27.68/27.92 cnf(matrix-641, 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)) )).
% 27.68/27.92 cnf(matrix-642, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem303(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem303(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 27.68/27.92 cnf(matrix-643, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem304(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem304(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 27.68/27.92 cnf(matrix-644, 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)) )).
% 27.68/27.92 cnf(matrix-645, 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)) )).
% 27.68/27.92 cnf(matrix-646, 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)) )).
% 27.68/27.92 cnf(matrix-647, 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)) )).
% 27.68/27.92 cnf(matrix-648, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem309(__eqx_0, __eqx_1, __eqx_2) = skolem309(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-649, 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)) )).
% 27.68/27.92 cnf(matrix-650, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem311(__eqx_0, __eqx_1, __eqx_2) = skolem311(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-651, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem312(__eqx_0, __eqx_1) = skolem312(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-652, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem313(__eqx_0, __eqx_1) = skolem313(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-653, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem314(__eqx_0, __eqx_1, __eqx_2) = skolem314(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-654, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem315(__eqx_0, __eqx_1, __eqx_2) = skolem315(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-655, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem316(__eqx_0, __eqx_1, __eqx_2) = skolem316(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-656, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem317(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem317(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-657, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem318(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem318(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-658, plain, ( ( __eqx_0 != __eqy_0) | ( skolem319(__eqx_0) = skolem319(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-659, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem320(__eqx_0, __eqx_1) = skolem320(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-660, plain, ( ( __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) | ( skolem321(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem321(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 27.68/27.92 cnf(matrix-661, plain, ( ( __eqx_0 != __eqy_0) | ( skolem322(__eqx_0) = skolem322(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-662, plain, ( ( __eqx_0 != __eqy_0) | ( skolem323(__eqx_0) = skolem323(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-663, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem324(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem324(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 cnf(matrix-664, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem325(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem325(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 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) | ( skolem326(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem326(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 cnf(matrix-666, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem327(__eqx_0, __eqx_1) = skolem327(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-667, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem328(__eqx_0, __eqx_1) = skolem328(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-668, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem329(__eqx_0, __eqx_1) = skolem329(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-669, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem330(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem330(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-670, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem331(__eqx_0, __eqx_1, __eqx_2) = skolem331(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-671, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem332(__eqx_0, __eqx_1) = skolem332(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-672, 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)) )).
% 27.68/27.92 cnf(matrix-673, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem334(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem334(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-674, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem335(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem335(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-675, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem336(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem336(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-676, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem337(__eqx_0, __eqx_1) = skolem337(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-677, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem338(__eqx_0, __eqx_1) = skolem338(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-678, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem339(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem339(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-679, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem340(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem340(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-680, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem341(__eqx_0, __eqx_1) = skolem341(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-681, 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)) )).
% 27.68/27.92 cnf(matrix-682, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem343(__eqx_0, __eqx_1, __eqx_2) = skolem343(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-683, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem344(__eqx_0, __eqx_1, __eqx_2) = skolem344(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-684, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem345(__eqx_0, __eqx_1, __eqx_2) = skolem345(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-685, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem346(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem346(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-686, plain, ( ( __eqx_0 != __eqy_0) | ( skolem347(__eqx_0) = skolem347(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-687, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem348(__eqx_0, __eqx_1) = skolem348(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-688, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem349(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem349(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-689, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem350(__eqx_0, __eqx_1, __eqx_2) = skolem350(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-690, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem351(__eqx_0, __eqx_1, __eqx_2) = skolem351(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-691, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem352(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem352(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-692, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem353(__eqx_0, __eqx_1) = skolem353(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-693, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem354(__eqx_0, __eqx_1, __eqx_2) = skolem354(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-694, 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)) )).
% 27.68/27.92 cnf(matrix-695, 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)) )).
% 27.68/27.92 cnf(matrix-696, 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)) )).
% 27.68/27.92 cnf(matrix-697, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem358(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem358(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 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) | ( 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)) )).
% 27.68/27.92 cnf(matrix-699, plain, ( ( __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)) )).
% 27.68/27.92 cnf(matrix-700, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( 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)) )).
% 27.68/27.92 cnf(matrix-701, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem362(__eqx_0, __eqx_1) = skolem362(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-702, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem363(__eqx_0, __eqx_1) = skolem363(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-703, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem364(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem364(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 cnf(matrix-704, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem365(__eqx_0, __eqx_1, __eqx_2) = skolem365(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-705, 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)) )).
% 27.68/27.92 cnf(matrix-706, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem367(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem367(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-707, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem368(__eqx_0, __eqx_1) = skolem368(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-708, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem369(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem369(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-709, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem370(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem370(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 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) | ( skolem371(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem371(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 cnf(matrix-711, plain, ( ( __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)) )).
% 27.68/27.92 cnf(matrix-712, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem373(__eqx_0, __eqx_1, __eqx_2) = skolem373(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-713, 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)) )).
% 27.68/27.92 cnf(matrix-714, 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)) )).
% 27.68/27.92 cnf(matrix-715, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem376(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem376(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 27.68/27.92 cnf(matrix-716, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem377(__eqx_0, __eqx_1) = skolem377(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-717, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem378(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem378(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-718, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem379(__eqx_0, __eqx_1, __eqx_2) = skolem379(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-719, 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)) )).
% 27.68/27.92 cnf(matrix-720, 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)) )).
% 27.68/27.92 cnf(matrix-721, 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)) )).
% 27.68/27.92 cnf(matrix-722, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem383(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem383(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-723, 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)) )).
% 27.68/27.92 cnf(matrix-724, 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)) )).
% 27.68/27.92 cnf(matrix-725, 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)) )).
% 27.68/27.92 cnf(matrix-726, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem387(__eqx_0, __eqx_1) = skolem387(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-727, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem388(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem388(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-728, 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)) )).
% 27.68/27.92 cnf(matrix-729, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem390(__eqx_0, __eqx_1, __eqx_2) = skolem390(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-730, 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)) )).
% 27.68/27.92 cnf(matrix-731, 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)) )).
% 27.68/27.92 cnf(matrix-732, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem393(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem393(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-733, 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)) )).
% 27.68/27.92 cnf(matrix-734, 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)) )).
% 27.68/27.92 cnf(matrix-735, 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)) )).
% 27.68/27.92 cnf(matrix-736, 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)) )).
% 27.68/27.92 cnf(matrix-737, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem398(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem398(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-738, 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)) )).
% 27.68/27.92 cnf(matrix-739, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem400(__eqx_0, __eqx_1) = skolem400(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-740, plain, ( ( __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) | ( skolem401(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem401(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 27.68/27.92 cnf(matrix-741, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem402(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem402(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-742, 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)) )).
% 27.68/27.92 cnf(matrix-743, 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)) )).
% 27.68/27.92 cnf(matrix-744, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem405(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem405(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-745, 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)) )).
% 27.68/27.92 cnf(matrix-746, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem407(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem407(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-747, 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)) )).
% 27.68/27.92 cnf(matrix-748, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem409(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem409(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 27.68/27.92 cnf(matrix-749, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem410(__eqx_0, __eqx_1, __eqx_2) = skolem410(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-750, 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)) )).
% 27.68/27.92 cnf(matrix-751, 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)) )).
% 27.68/27.92 cnf(matrix-752, 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)) )).
% 27.68/27.92 cnf(matrix-753, 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)) )).
% 27.68/27.92 cnf(matrix-754, plain, ( ( __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) | ( skolem415(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem415(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 27.68/27.92 cnf(matrix-755, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem416(__eqx_0, __eqx_1, __eqx_2) = skolem416(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-756, 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)) )).
% 27.68/27.92 cnf(matrix-757, 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)) )).
% 27.68/27.92 cnf(matrix-758, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem419(__eqx_0, __eqx_1) = skolem419(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-759, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem420(__eqx_0, __eqx_1, __eqx_2) = skolem420(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-760, 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)) )).
% 27.68/27.92 cnf(matrix-761, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem422(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem422(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-762, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem423(__eqx_0, __eqx_1, __eqx_2) = skolem423(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-763, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem424(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem424(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 cnf(matrix-764, plain, ( ( __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) | ( skolem425(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem425(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 27.68/27.92 cnf(matrix-765, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem426(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem426(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-766, 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)) )).
% 27.68/27.92 cnf(matrix-767, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem428(__eqx_0, __eqx_1, __eqx_2) = skolem428(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-768, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem429(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem429(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-769, 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)) )).
% 27.68/27.92 cnf(matrix-770, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem431(__eqx_0, __eqx_1, __eqx_2) = skolem431(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-771, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem432(__eqx_0, __eqx_1) = skolem432(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-772, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem433(__eqx_0, __eqx_1) = skolem433(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-773, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem434(__eqx_0, __eqx_1, __eqx_2) = skolem434(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-774, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem435(__eqx_0, __eqx_1) = skolem435(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-775, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem436(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem436(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-776, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem437(__eqx_0, __eqx_1, __eqx_2) = skolem437(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-777, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem438(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem438(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-778, 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)) )).
% 27.68/27.92 cnf(matrix-779, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem440(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem440(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 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) | ( 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)) )).
% 27.68/27.92 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) | ( 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)) )).
% 27.68/27.92 cnf(matrix-782, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem443(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem443(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-783, 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)) )).
% 27.68/27.92 cnf(matrix-784, 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)) )).
% 27.68/27.92 cnf(matrix-785, plain, ( ( __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) | ( skolem446(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem446(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 27.68/27.92 cnf(matrix-786, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem447(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem447(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 27.68/27.92 cnf(matrix-787, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem448(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem448(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-788, 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)) )).
% 27.68/27.92 cnf(matrix-789, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem451(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem451(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-790, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem452(__eqx_0, __eqx_1, __eqx_2) = skolem452(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-791, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem453(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem453(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-792, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem454(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem454(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-793, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem455(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem455(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-794, 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)) )).
% 27.68/27.92 cnf(matrix-795, 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)) )).
% 27.68/27.92 cnf(matrix-796, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem458(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem458(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-797, plain, ( ( __eqx_0 != __eqy_0) | ( skolem459(__eqx_0) = skolem459(__eqy_0)) )).
% 27.68/27.92 cnf(matrix-798, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem460(__eqx_0, __eqx_1, __eqx_2) = skolem460(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-799, 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)) )).
% 27.68/27.92 cnf(matrix-800, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem462(__eqx_0, __eqx_1) = skolem462(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-801, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem463(__eqx_0, __eqx_1) = skolem463(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-802, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem464(__eqx_0, __eqx_1, __eqx_2) = skolem464(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-803, 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)) )).
% 27.68/27.92 cnf(matrix-804, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem466(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem466(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-805, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem467(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem467(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-806, 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)) )).
% 27.68/27.92 cnf(matrix-807, 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)) )).
% 27.68/27.92 cnf(matrix-808, 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)) )).
% 27.68/27.92 cnf(matrix-809, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem471(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem471(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-810, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem472(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem472(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-811, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem473(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem473(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-812, 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)) )).
% 27.68/27.92 cnf(matrix-813, 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)) )).
% 27.68/27.92 cnf(matrix-814, 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)) )).
% 27.68/27.92 cnf(matrix-815, 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)) )).
% 27.68/27.92 cnf(matrix-816, 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)) )).
% 27.68/27.92 cnf(matrix-817, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem479(__eqx_0, __eqx_1) = skolem479(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-818, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem480(__eqx_0, __eqx_1, __eqx_2) = skolem480(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-819, 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)) )).
% 27.68/27.92 cnf(matrix-820, 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)) )).
% 27.68/27.92 cnf(matrix-821, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem483(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem483(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 27.68/27.92 cnf(matrix-822, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem484(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem484(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-823, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem485(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem485(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-824, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem486(__eqx_0, __eqx_1, __eqx_2) = skolem486(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-825, 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)) )).
% 27.68/27.92 cnf(matrix-826, 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)) )).
% 27.68/27.92 cnf(matrix-827, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem489(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem489(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 27.68/27.92 cnf(matrix-828, 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)) )).
% 27.68/27.92 cnf(matrix-829, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem491(__eqx_0, __eqx_1, __eqx_2) = skolem491(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-830, 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)) )).
% 27.68/27.92 cnf(matrix-831, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem493(__eqx_0, __eqx_1) = skolem493(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-832, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem494(__eqx_0, __eqx_1, __eqx_2) = skolem494(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-833, 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)) )).
% 27.68/27.92 cnf(matrix-834, 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)) )).
% 27.68/27.92 cnf(matrix-835, 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)) )).
% 27.68/27.92 cnf(matrix-836, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem498(__eqx_0, __eqx_1) = skolem498(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-837, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem499(__eqx_0, __eqx_1) = skolem499(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-838, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem500(__eqx_0, __eqx_1, __eqx_2) = skolem500(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-839, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem501(__eqx_0, __eqx_1) = skolem501(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-840, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem502(__eqx_0, __eqx_1) = skolem502(__eqy_0, __eqy_1)) )).
% 27.68/27.92 cnf(matrix-841, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem503(__eqx_0, __eqx_1, __eqx_2) = skolem503(__eqy_0, __eqy_1, __eqy_2)) )).
% 27.68/27.92 cnf(matrix-842, 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)) )).
% 27.68/27.92 cnf(matrix-843, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 27.68/27.92 cnf(matrix-844, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Groups_Osemigroup(__eqx_0, __eqx_1) | c_Groups_Osemigroup(__eqy_0, __eqy_1) )).
% 27.68/27.92 cnf(matrix-845, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Groups_Ocomm__monoid(__eqx_0, __eqx_1, __eqx_2) | c_Groups_Ocomm__monoid(__eqy_0, __eqy_1, __eqy_2) )).
% 27.68/27.92 cnf(matrix-846, 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) )).
% 27.68/27.92 cnf(matrix-847, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 27.68/27.92 cnf(matrix-848, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-849, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-850, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-851, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-852, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-853, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-854, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 27.68/27.92 cnf(matrix-855, 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) )).
% 27.68/27.92 cnf(matrix-856, 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) )).
% 27.68/27.92 cnf(matrix-857, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 27.68/27.92 cnf(matrix-858, 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) )).
% 27.68/27.92 cnf(matrix-859, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-860, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-861, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 27.68/27.92 cnf(matrix-862, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 27.68/27.92 cnf(matrix-863, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osemiring__char__0(__eqx_0) | class_Nat_Osemiring__char__0(__eqy_0) )).
% 27.68/27.92 cnf(matrix-864, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 27.68/27.92 cnf(matrix-865, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 27.68/27.92 cnf(matrix-866, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 27.68/27.92 cnf(matrix-867, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 27.68/27.92 cnf(matrix-868, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 27.68/27.92 cnf(matrix-869, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 27.68/27.92 cnf(matrix-870, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 27.68/27.92 cnf(matrix-871, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 27.68/27.92 cnf(matrix-872, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 27.68/27.92 cnf(matrix-873, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 27.68/27.92 cnf(matrix-874, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-875, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 27.68/27.92 cnf(matrix-876, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 27.68/27.92 cnf(matrix-877, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 27.68/27.92 cnf(matrix-878, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 27.68/27.92 cnf(matrix-879, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-880, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-881, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 27.68/27.92 cnf(matrix-882, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 27.68/27.92 cnf(matrix-883, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 27.68/27.92 cnf(matrix-884, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 27.68/27.92 cnf(matrix-885, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 27.68/27.92 cnf(matrix-886, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 27.68/27.92 cnf(matrix-887, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 27.68/27.92 cnf(matrix-888, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 27.68/27.92 cnf(matrix-889, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 27.68/27.92 cnf(matrix-890, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 27.68/27.92 cnf(matrix-891, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 27.68/27.92 cnf(matrix-892, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 27.68/27.92 cnf(matrix-893, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-894, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 27.68/27.92 cnf(matrix-895, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 27.68/27.92 cnf(matrix-896, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 27.68/27.92 cnf(matrix-897, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 27.68/27.92 cnf(matrix-898, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 27.68/27.92 cnf(matrix-899, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 27.68/27.92 cnf(matrix-900, 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) )).
% 27.68/27.92 cnf(matrix-901, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 27.68/27.92 cnf(matrix-902, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 27.68/27.92 cnf(matrix-903, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 27.68/27.92 cnf(matrix-904, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 27.68/27.92 cnf(matrix-905, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 27.68/27.92 cnf(matrix-906, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 27.68/27.92 cnf(matrix-907, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 27.68/27.92 cnf(matrix-908, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 27.68/27.92 cnf(matrix-909, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 27.68/27.92 cnf(matrix-910, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 27.68/27.92 cnf(matrix-911, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 27.68/27.92 cnf(matrix-912, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 27.68/27.92 cnf(matrix-913, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 27.68/27.92 cnf(matrix-914, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 27.68/27.92 cnf(matrix-915, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 27.68/27.92 cnf(matrix-916, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Ois__nat(__eqx_0) | c_Nat__Transfer_Ois__nat(__eqy_0) )).
% 27.68/27.92 cnf(matrix-917, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 27.68/27.92 cnf(matrix-918, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 27.68/27.92 cnf(matrix-919, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 27.68/27.92 cnf(matrix-920, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 27.68/27.92 cnf(matrix-921, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 27.68/27.92 cnf(matrix-922, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oinverse(__eqx_0) | class_Rings_Oinverse(__eqy_0) )).
% 27.68/27.92 cnf(matrix-923, 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) )).
% 27.68/27.92 cnf(matrix-924, 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) )).
% 27.68/27.92 cnf(matrix-925, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odvd(__eqx_0) | class_Rings_Odvd(__eqy_0) )).
% 27.68/27.92 cnf(matrix-926, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring(__eqx_0) | class_Rings_Ocomm__ring(__eqy_0) )).
% 27.68/27.92 cnf(matrix-927, 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) )).
% 27.68/27.92 cnf(matrix-928, 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) )).
% 27.68/27.92 cnf(matrix-929, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Onat__set(__eqx_0) | c_Nat__Transfer_Onat__set(__eqy_0) )).
% 27.68/27.92 cnf(matrix-930, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 27.68/27.92 cnf(matrix-931, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__sup(__eqx_0) | class_Lattices_Osemilattice__sup(__eqy_0) )).
% 27.68/27.92 cnf(matrix-932, plain, ( ( __eqx_0 != __eqy_0) | ~class_Complete__Lattice_Ocomplete__lattice(__eqx_0) | class_Complete__Lattice_Ocomplete__lattice(__eqy_0) )).
% 27.68/27.92 cnf(matrix-933, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 27.68/27.92 cnf(matrix-934, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__top(__eqx_0) | class_Lattices_Obounded__lattice__top(__eqy_0) )).
% 27.68/27.92 cnf(matrix-935, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_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) )).
% 27.68/27.92 cnf(matrix-936, plain, ( ( __eqx_0 != __eqy_0) | ~class_Finite__Set_Ofinite(__eqx_0) | class_Finite__Set_Ofinite(__eqy_0) )).
% 27.68/27.92 cnf(matrix-937, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 27.68/27.92 cnf(matrix-938, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 27.68/27.92 cnf(matrix-939, plain, ( ( __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) )).
% 27.68/27.92 cnf(matrix-940, 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) )).
% 27.68/27.92 cnf(matrix-941, 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) )).
% 27.68/27.92 cnf(matrix-942, plain, ( ( __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) )).
% 27.68/27.92 cnf(matrix-943, 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) )).
% 27.68/27.92 cnf(matrix-944, 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) )).
% 27.68/27.92 cnf(matrix-945, 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) )).
% 27.68/27.92 cnf(matrix-946, 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) )).
% 27.68/27.92 cnf(matrix-947, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 27.68/27.92 cnf(matrix-948, 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) )).
% 27.68/27.92 cnf(matrix-949, 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) )).
% 27.68/27.92 cnf(matrix-950, 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) )).
% 27.68/27.92 cnf(matrix-951, 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) )).
% 27.68/27.92 cnf(matrix-952, plain, ( ( __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) )).
% 27.68/27.92 cnf(matrix-953, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 27.68/27.92 cnf(matrix-954, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 27.68/27.92 cnf(matrix-955, 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) )).
% 27.68/27.92 cnf(matrix-956, 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) )).
% 27.68/27.92 cnf(matrix-957, 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) )).
% 27.68/27.92 cnf(matrix-958, 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) )).
% 27.68/27.92 cnf(matrix-959, 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) )).
% 27.68/27.92 cnf(matrix-960, 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) )).
% 27.68/27.92 cnf(matrix-961, 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) )).
% 27.68/27.92 cnf(matrix-962, 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) )).
% 27.68/27.92 cnf(matrix-963, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Oreflp(__eqx_0, __eqx_1) | c_Predicate_Oreflp(__eqy_0, __eqy_1) )).
% 27.68/27.92 cnf(matrix-964, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__semigroup__add(__eqx_0) | class_Groups_Olinordered__ab__semigroup__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-965, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __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) )).
% 27.68/27.92 cnf(matrix-966, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 27.68/27.92 cnf(matrix-967, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Owellorder(__eqx_0) | class_Orderings_Owellorder(__eqy_0) )).
% 27.68/27.92 cnf(matrix-968, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_OwfP(__eqx_0, __eqx_1) | c_Wellfounded_OwfP(__eqy_0, __eqy_1) )).
% 27.68/27.92 cnf(matrix-969, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 27.68/27.92 cnf(matrix-970, 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) )).
% 27.68/27.92 cnf(matrix-971, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nitpick_Ounknown(__eqx_0) | c_Nitpick_Ounknown(__eqy_0) )).
% 27.68/27.92 cnf(matrix-972, 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) )).
% 27.68/27.92 cnf(matrix-973, 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) )).
% 27.68/27.92 cnf(matrix-974, 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) )).
% 27.68/27.92 cnf(matrix-975, 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) )).
% 27.68/27.92 cnf(matrix-976, plain, ( ( __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) )).
% 27.68/27.92 cnf(matrix-977, plain, ( ( __eqx_0 != __eqy_0) | ~class_Smallcheck_Osmall(__eqx_0) | class_Smallcheck_Osmall(__eqy_0) )).
% 27.68/27.92 cnf(matrix-978, plain, ( ( __eqx_0 != __eqy_0) | ~c_List_Onat__list(__eqx_0) | c_List_Onat__list(__eqy_0) )).
% 27.68/27.92 cnf(matrix-979, 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) )).
% 27.68/27.92 cnf(matrix-980, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osemigroup__add(__eqx_0) | class_Groups_Osemigroup__add(__eqy_0) )).
% 27.68/27.92 cnf(matrix-981, 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) )).
% 27.68/27.92 cnf(matrix-982, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 27.68/27.92 cnf(matrix-983, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~v_P(__eqx_0, __eqx_1) | v_P(__eqy_0, __eqy_1) )).
% 27.68/27.92 cnf(matrix-984, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~v_Q(__eqx_0, __eqx_1) | v_Q(__eqy_0, __eqy_1) )).
% 27.68/27.92 cnf(matrix-985, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 27.68/27.92 cnf(matrix-986, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u5) != hAPP(c_Com_Ocom_OBODY, _u7)) | ( _u5 = _u7) )).
% 27.68/27.92 cnf(matrix-987, plain, ( ( _u6 != _u8) | ( hAPP(c_Com_Ocom_OBODY, _u6) = hAPP(c_Com_Ocom_OBODY, _u8)) )).
% 27.68/27.92 cnf(matrix-988, plain, ( ~class_Groups_Ozero(_u9) | ( c_Groups_Ozero__class_Ozero(_u9) != _u10) | ( _u10 = c_Groups_Ozero__class_Ozero(_u9)) )).
% 27.68/27.92 cnf(matrix-989, plain, ( ~class_Groups_Ozero(_u9) | ( _u10 != c_Groups_Ozero__class_Ozero(_u9)) | ( c_Groups_Ozero__class_Ozero(_u9) = _u10) )).
% 27.68/27.92 cnf(matrix-990, plain, ( ( c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY, _u11)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-991, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), hAPP(c_Com_Ocom_OBODY, _u12)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-992, plain, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-993, plain, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-994, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_String_Oliteral), _u13) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-995, plain, ( ( c_String_Ochar_Ochar__size(_u14) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-996, plain, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-997, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-998, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-999, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_String_Ochar), _u15) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-1000, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-1001, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-1002, plain, ( ( c_String_Ochar_Ochar__size(hAPP(hAPP(c_String_Ochar_OChar, _u16), _u17)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-1003, 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)) )).
% 27.68/27.92 cnf(matrix-1004, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(_u18, _u19, _u20)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-1005, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCall(_u21, _u22, _u23)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-1006, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(_u24, _u25)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-1007, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OAss(_u26, _u27)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-1008, plain, ( ( c_Com_Ocom_Ocom__case(_u28, _u29, _u30, _u31, _u32, _u33, _u34, _u35, _u36, hAPP(c_Com_Ocom_OBODY, _u37)) = hAPP(_u35, _u37)) )).
% 27.68/27.92 cnf(matrix-1009, plain, ( ( hAPP(hAPP(_u39, hAPP(hAPP(_u39, _u40), _u41)), _u42) = hAPP(hAPP(_u39, _u40), hAPP(hAPP(_u39, _u41), _u42))) | ~c_Groups_Osemigroup(_u38, _u39) )).
% 27.68/27.92 cnf(matrix-1010, plain, ( ( hAPP(hAPP(_u44, _u46), _u45) = _u46) | ~c_Groups_Ocomm__monoid(_u43, _u44, _u45) )).
% 27.68/27.92 cnf(matrix-1011, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(_u47, _u48)) )).
% 27.68/27.92 cnf(matrix-1012, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(_u49, _u50, _u51)) )).
% 27.68/27.92 cnf(matrix-1013, plain, ( ( c_Com_Ocom_OAss(_u52, _u53) != c_Com_Ocom_OSKIP) )).
% 27.68/27.92 cnf(matrix-1014, plain, ( ( c_Com_Ocom_OAss(_u54, _u55) != c_Com_Ocom_OCall(_u56, _u57, _u58)) )).
% 27.68/27.92 cnf(matrix-1015, plain, ( ( c_Com_Ocom_OCall(_u59, _u60, _u61) != c_Com_Ocom_OSKIP) )).
% 27.68/27.92 cnf(matrix-1016, plain, ( ( c_Com_Ocom_OCall(_u62, _u63, _u64) != c_Com_Ocom_OAss(_u65, _u66)) )).
% 27.68/27.92 cnf(matrix-1017, plain, ( ( c_Com_Ocom_OAss(_u71, _u73) != c_Com_Ocom_OAss(_u75, _u77)) | ( _u71 = _u75) )).
% 27.68/27.92 cnf(matrix-1018, plain, ( ( c_Com_Ocom_OAss(_u71, _u73) != c_Com_Ocom_OAss(_u75, _u77)) | ( _u73 = _u77) )).
% 27.68/27.92 cnf(matrix-1019, plain, ( ( _u72 != _u76) | ( _u74 != _u78) | ( c_Com_Ocom_OAss(_u72, _u74) = c_Com_Ocom_OAss(_u76, _u78)) )).
% 27.68/27.92 cnf(matrix-1020, plain, ( ( hAPP(hAPP(c_String_Ochar_OChar, _u83), _u85) != hAPP(hAPP(c_String_Ochar_OChar, _u87), _u89)) | ( _u83 = _u87) )).
% 27.68/27.92 cnf(matrix-1021, plain, ( ( hAPP(hAPP(c_String_Ochar_OChar, _u83), _u85) != hAPP(hAPP(c_String_Ochar_OChar, _u87), _u89)) | ( _u85 = _u89) )).
% 27.68/27.92 cnf(matrix-1022, plain, ( ( _u84 != _u88) | ( _u86 != _u90) | ( hAPP(hAPP(c_String_Ochar_OChar, _u84), _u86) = hAPP(hAPP(c_String_Ochar_OChar, _u88), _u90)) )).
% 27.68/27.92 cnf(matrix-1023, plain, ( ( c_Com_Ocom_OCall(_u97, _u99, _u101) != c_Com_Ocom_OCall(_u103, _u105, _u107)) | ( _u97 = _u103) )).
% 27.68/27.92 cnf(matrix-1024, plain, ( ( c_Com_Ocom_OCall(_u97, _u99, _u101) != c_Com_Ocom_OCall(_u103, _u105, _u107)) | ( _u99 = _u105) )).
% 27.68/27.92 cnf(matrix-1025, plain, ( ( c_Com_Ocom_OCall(_u97, _u99, _u101) != c_Com_Ocom_OCall(_u103, _u105, _u107)) | ( _u101 = _u107) )).
% 27.68/27.92 cnf(matrix-1026, plain, ( ( _u98 != _u104) | ( _u100 != _u106) | ( _u102 != _u108) | ( c_Com_Ocom_OCall(_u98, _u100, _u102) = c_Com_Ocom_OCall(_u104, _u106, _u108)) )).
% 27.68/27.92 cnf(matrix-1027, plain, ( ( c_Com_Ocom_Ocom__case(_u109, _u110, _u111, _u112, _u113, _u114, _u115, _u116, _u117, c_Com_Ocom_OSKIP) = _u110) )).
% 27.68/27.92 cnf(matrix-1028, plain, ( ( c_Com_Ocom_Ocom__case(_u118, _u119, _u120, _u121, _u122, _u123, _u124, _u125, _u126, c_Com_Ocom_OAss(_u127, _u128)) = hAPP(hAPP(_u120, _u127), _u128)) )).
% 27.68/27.92 cnf(matrix-1029, plain, ( ( c_Com_Ocom_Ocom__case(_u129, _u130, _u131, _u132, _u133, _u134, _u135, _u136, _u137, c_Com_Ocom_OCall(_u138, _u139, _u140)) = hAPP(hAPP(hAPP(_u137, _u138), _u139), _u140)) )).
% 27.68/27.92 cnf(matrix-1030, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u141) = _u141) )).
% 27.68/27.92 cnf(matrix-1031, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_String_Ochar), hAPP(hAPP(c_String_Ochar_OChar, _u142), _u143)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.92 cnf(matrix-1032, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u144) != c_Com_Ocom_OAss(_u145, _u146)) )).
% 27.68/27.92 cnf(matrix-1033, plain, ( ( c_Com_Ocom_OAss(_u147, _u148) != hAPP(c_Com_Ocom_OBODY, _u149)) )).
% 27.68/27.92 cnf(matrix-1034, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u150) != c_Com_Ocom_OCall(_u151, _u152, _u153)) )).
% 27.68/27.92 cnf(matrix-1035, plain, ( ( c_Com_Ocom_OCall(_u154, _u155, _u156) != hAPP(c_Com_Ocom_OBODY, _u157)) )).
% 27.68/27.92 cnf(matrix-1036, plain, ( ( c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY, _u158)) )).
% 27.68/27.92 cnf(matrix-1037, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u159) != c_Com_Ocom_OSKIP) )).
% 27.68/27.92 cnf(matrix-1038, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u160, _u161, _u160) )).
% 27.68/27.92 cnf(matrix-1039, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u162, _u163, _u164) | ( _u164 = _u162) )).
% 27.68/27.92 cnf(matrix-1040, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u165, _u166, _u165) )).
% 27.68/27.92 cnf(matrix-1041, plain, ( ( c_String_Ochar_Ochar__rec(_u167, _u168, hAPP(hAPP(c_String_Ochar_OChar, _u169), _u170)) = hAPP(hAPP(_u168, _u169), _u170)) )).
% 27.68/27.92 cnf(matrix-1042, plain, ( ( c_String_Ochar_Ochar__case(_u171, _u172, hAPP(hAPP(c_String_Ochar_OChar, _u173), _u174)) = hAPP(hAPP(_u172, _u173), _u174)) )).
% 27.68/27.92 cnf(matrix-1043, plain, ( hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u176))) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u175, _u176, _u177))) )).
% 27.68/27.92 cnf(matrix-1044, plain, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u178))) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u179, _u178, _u180))) )).
% 27.68/27.92 cnf(matrix-1045, plain, ( hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u186))) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u184, _u186, _u188))) )).
% 27.68/27.92 cnf(matrix-1046, plain, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u187))) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u185, _u187, _u189))) )).
% 27.68/27.92 cnf(matrix-1047, plain, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u190, _u191), _u192, _u193, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u192), _u190), hAPP(_u191, _u192))) )).
% 27.68/27.92 cnf(matrix-1048, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OAss(_u194, _u195), _u196, _u197, _u198) | ( _u198 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u196), _u194), hAPP(_u195, _u196))) )).
% 27.68/27.92 cnf(matrix-1049, plain, ( ( c_Com_Ocom_Ocom__rec(_u199, _u200, _u201, _u202, _u203, _u204, _u205, _u206, _u207, c_Com_Ocom_OSKIP) = _u200) )).
% 27.68/27.92 cnf(matrix-1050, plain, ( ( c_Com_Ocom_Ocom__rec(_u208, _u209, _u210, _u211, _u212, _u213, _u214, _u215, _u216, c_Com_Ocom_OCall(_u217, _u218, _u219)) = hAPP(hAPP(hAPP(_u216, _u217), _u218), _u219)) )).
% 27.68/27.92 cnf(matrix-1051, plain, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OAss(_u220, _u221))) )).
% 27.68/27.92 cnf(matrix-1052, plain, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OAss(_u222, _u223))) )).
% 27.68/27.92 cnf(matrix-1053, plain, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSKIP)) )).
% 27.68/27.93 cnf(matrix-1054, plain, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSKIP)) )).
% 27.68/27.93 cnf(matrix-1055, plain, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u224, _u225), _u226, _u227, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u226), _u224), hAPP(_u225, _u226))) )).
% 27.68/27.93 cnf(matrix-1056, plain, ( ( c_Com_Ocom_Ocom__rec(_u228, _u229, _u230, _u231, _u232, _u233, _u234, _u235, _u236, hAPP(c_Com_Ocom_OBODY, _u237)) = hAPP(_u235, _u237)) )).
% 27.68/27.93 cnf(matrix-1057, plain, ( ( c_Com_Ocom_Ocom__rec(_u238, _u239, _u240, _u241, _u242, _u243, _u244, _u245, _u246, c_Com_Ocom_OAss(_u247, _u248)) = hAPP(hAPP(_u240, _u247), _u248)) )).
% 27.68/27.93 cnf(matrix-1058, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u249, _u250)), _u251), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u251), _u249), hAPP(_u250, _u251)))) )).
% 27.68/27.93 cnf(matrix-1059, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u252, _u253)), _u254), _u255)) | ( _u255 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u254), _u252), hAPP(_u253, _u254))) )).
% 27.68/27.93 cnf(matrix-1060, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u256, _u257)), _u258), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u258), _u256), hAPP(_u257, _u258)))) )).
% 27.68/27.93 cnf(matrix-1061, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u259, _u260))) | hBOOL(hAPP(c_Com_OWT, _u259)) )).
% 27.68/27.93 cnf(matrix-1062, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u259, _u260))) | hBOOL(hAPP(c_Com_OWT, _u260)) )).
% 27.68/27.93 cnf(matrix-1063, plain, ( ~c_Natural_Oevaln(_u261, _u262, _u263, _u264) | ~c_Natural_Oevaln(_u265, _u264, _u263, _u266) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u261, _u265), _u262, _u263, _u266) )).
% 27.68/27.93 cnf(matrix-1064, plain, ( ( c_Com_Ocom_Ocom__case(_u267, _u268, _u269, _u270, _u271, _u272, _u273, _u274, _u275, c_Com_Ocom_OSemi(_u276, _u277)) = hAPP(hAPP(_u271, _u276), _u277)) )).
% 27.68/27.93 cnf(matrix-1065, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u278, _u279, _u280))) | hBOOL(hAPP(c_Com_OWT, _u279)) )).
% 27.68/27.93 cnf(matrix-1066, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u278, _u279, _u280))) | hBOOL(hAPP(c_Com_OWT, _u280)) )).
% 27.68/27.93 cnf(matrix-1067, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u281, _u282, _u283), _u284, _u285, _u286) | hBOOL(hAPP(_u281, _u284)) | c_Natural_Oevaln(_u283, _u284, _u285, _u286) )).
% 27.68/27.93 cnf(matrix-1068, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u281, _u282, _u283), _u284, _u285, _u286) | c_Natural_Oevaln(_u282, _u284, _u285, _u286) | ~hBOOL(hAPP(_u281, _u284)) )).
% 27.68/27.93 cnf(matrix-1069, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u281, _u282, _u283), _u284, _u285, _u286) | c_Natural_Oevaln(_u282, _u284, _u285, _u286) | c_Natural_Oevaln(_u283, _u284, _u285, _u286) )).
% 27.68/27.93 cnf(matrix-1070, plain, ( ~hBOOL(hAPP(_u287, _u288)) | ~c_Natural_Oevaln(_u289, _u288, _u290, _u291) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u287, _u289, _u292), _u288, _u290, _u291) )).
% 27.68/27.93 cnf(matrix-1071, plain, ( hBOOL(hAPP(_u293, _u294)) | ~c_Natural_Oevaln(_u295, _u294, _u296, _u297) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u293, _u298, _u295), _u294, _u296, _u297) )).
% 27.68/27.93 cnf(matrix-1072, plain, ( hBOOL(hAPP(c_Com_OWT, _u301)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u299, _u300, _u301))) )).
% 27.68/27.93 cnf(matrix-1073, plain, ( ( c_Com_Ocom_Ocom__case(_u302, _u303, _u304, _u305, _u306, _u307, _u308, _u309, _u310, c_Com_Ocom_OCond(_u311, _u312, _u313)) = hAPP(hAPP(hAPP(_u307, _u311), _u312), _u313)) )).
% 27.68/27.93 cnf(matrix-1074, plain, ( hBOOL(hAPP(_u314, _u315)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u316), _u315), _u317)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u314, _u318, _u316)), _u315), _u317)) )).
% 27.68/27.93 cnf(matrix-1075, plain, ( ~hBOOL(hAPP(_u319, _u320)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u321), _u320), _u322)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u319, _u321, _u323)), _u320), _u322)) )).
% 27.68/27.93 cnf(matrix-1076, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u324, _u325, _u326)), _u327), _u328)) | hBOOL(hAPP(_u324, _u327)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u326), _u327), _u328)) )).
% 27.68/27.93 cnf(matrix-1077, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u324, _u325, _u326)), _u327), _u328)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u325), _u327), _u328)) | ~hBOOL(hAPP(_u324, _u327)) )).
% 27.68/27.93 cnf(matrix-1078, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u324, _u325, _u326)), _u327), _u328)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u325), _u327), _u328)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u326), _u327), _u328)) )).
% 27.68/27.93 cnf(matrix-1079, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u329), _u330), _u331)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u332), _u331), _u333)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u329, _u332)), _u330), _u333)) )).
% 27.68/27.93 cnf(matrix-1080, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u334), _u335)) | ( _u335 = _u334) )).
% 27.68/27.93 cnf(matrix-1081, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u336), _u336)) )).
% 27.68/27.93 cnf(matrix-1082, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u343, _u345)), _u347), _u349)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u343), _u347), skolem2(_u349, _u347, _u345, _u343))) )).
% 27.68/27.93 cnf(matrix-1083, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u343, _u345)), _u347), _u349)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u345), skolem2(_u349, _u347, _u345, _u343)), _u349)) )).
% 27.68/27.93 cnf(matrix-1084, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u344), _u348), _u338)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u346), _u338), _u350)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u344, _u346)), _u348), _u350)) )).
% 27.68/27.93 cnf(matrix-1085, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u356, _u358, _u360)), _u362), _u364)) | hBOOL(hAPP(_u356, _u362)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u360), _u362), _u364)) )).
% 27.68/27.93 cnf(matrix-1086, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u356, _u358, _u360)), _u362), _u364)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u358), _u362), _u364)) | ~hBOOL(hAPP(_u356, _u362)) )).
% 27.68/27.93 cnf(matrix-1087, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u356, _u358, _u360)), _u362), _u364)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u358), _u362), _u364)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u360), _u362), _u364)) )).
% 27.68/27.93 cnf(matrix-1088, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u357, _u359, _u361)), _u363), _u365)) | ~hBOOL(hAPP(_u357, _u363)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u359), _u363), _u365)) )).
% 27.68/27.93 cnf(matrix-1089, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u357, _u359, _u361)), _u363), _u365)) | hBOOL(hAPP(_u357, _u363)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u361), _u363), _u365)) )).
% 27.68/27.93 cnf(matrix-1090, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u371, _u373, _u375)), _u377), _u379)) | hBOOL(hAPP(_u371, _u377)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u375), _u377), _u379)) )).
% 27.68/27.93 cnf(matrix-1091, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u371, _u373, _u375)), _u377), _u379)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u373), _u377), _u379)) | ~hBOOL(hAPP(_u371, _u377)) )).
% 27.68/27.93 cnf(matrix-1092, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u371, _u373, _u375)), _u377), _u379)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u373), _u377), _u379)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u375), _u377), _u379)) )).
% 27.68/27.93 cnf(matrix-1093, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u372, _u374, _u376)), _u378), _u380)) | ~hBOOL(hAPP(_u372, _u378)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u374), _u378), _u380)) )).
% 27.68/27.93 cnf(matrix-1094, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u372, _u374, _u376)), _u378), _u380)) | hBOOL(hAPP(_u372, _u378)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u376), _u378), _u380)) )).
% 27.68/27.93 cnf(matrix-1095, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u381), _u382), _u383)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u381), _u382), _u384)) | ( _u384 = _u383) )).
% 27.68/27.93 cnf(matrix-1096, plain, ( ( c_Com_Ocom_OSemi(_u385, _u386) != c_Com_Ocom_OCond(_u387, _u388, _u389)) )).
% 27.68/27.93 cnf(matrix-1097, plain, ( ( c_Com_Ocom_OSemi(_u390, _u391) != c_Com_Ocom_OLocal(_u392, _u393, _u394)) )).
% 27.68/27.93 cnf(matrix-1098, plain, ( ( c_Com_Ocom_OCond(_u395, _u396, _u397) != c_Com_Ocom_OSemi(_u398, _u399)) )).
% 27.68/27.93 cnf(matrix-1099, plain, ( ( c_Com_Ocom_OLocal(_u400, _u401, _u402) != c_Com_Ocom_OSemi(_u403, _u404)) )).
% 27.68/27.93 cnf(matrix-1100, plain, ( ( c_Com_Ocom_OCond(_u405, _u406, _u407) != c_Com_Ocom_OLocal(_u408, _u409, _u410)) )).
% 27.68/27.93 cnf(matrix-1101, plain, ( ( c_Com_Ocom_OLocal(_u411, _u412, _u413) != c_Com_Ocom_OCond(_u414, _u415, _u416)) )).
% 27.68/27.93 cnf(matrix-1102, plain, ( ( c_Com_Ocom_OSemi(_u421, _u423) != c_Com_Ocom_OSemi(_u425, _u427)) | ( _u421 = _u425) )).
% 27.68/27.93 cnf(matrix-1103, plain, ( ( c_Com_Ocom_OSemi(_u421, _u423) != c_Com_Ocom_OSemi(_u425, _u427)) | ( _u423 = _u427) )).
% 27.68/27.93 cnf(matrix-1104, plain, ( ( _u422 != _u426) | ( _u424 != _u428) | ( c_Com_Ocom_OSemi(_u422, _u424) = c_Com_Ocom_OSemi(_u426, _u428)) )).
% 27.68/27.93 cnf(matrix-1105, plain, ( ( c_Com_Ocom_OCond(_u435, _u437, _u439) != c_Com_Ocom_OCond(_u441, _u443, _u445)) | ( _u435 = _u441) )).
% 27.68/27.93 cnf(matrix-1106, plain, ( ( c_Com_Ocom_OCond(_u435, _u437, _u439) != c_Com_Ocom_OCond(_u441, _u443, _u445)) | ( _u437 = _u443) )).
% 27.68/27.93 cnf(matrix-1107, plain, ( ( c_Com_Ocom_OCond(_u435, _u437, _u439) != c_Com_Ocom_OCond(_u441, _u443, _u445)) | ( _u439 = _u445) )).
% 27.68/27.93 cnf(matrix-1108, plain, ( ( _u436 != _u442) | ( _u438 != _u444) | ( _u440 != _u446) | ( c_Com_Ocom_OCond(_u436, _u438, _u440) = c_Com_Ocom_OCond(_u442, _u444, _u446)) )).
% 27.68/27.93 cnf(matrix-1109, plain, ( ( c_Com_Ocom_OLocal(_u453, _u455, _u457) != c_Com_Ocom_OLocal(_u459, _u461, _u463)) | ( _u453 = _u459) )).
% 27.68/27.93 cnf(matrix-1110, plain, ( ( c_Com_Ocom_OLocal(_u453, _u455, _u457) != c_Com_Ocom_OLocal(_u459, _u461, _u463)) | ( _u455 = _u461) )).
% 27.68/27.93 cnf(matrix-1111, plain, ( ( c_Com_Ocom_OLocal(_u453, _u455, _u457) != c_Com_Ocom_OLocal(_u459, _u461, _u463)) | ( _u457 = _u463) )).
% 27.68/27.93 cnf(matrix-1112, plain, ( ( _u454 != _u460) | ( _u456 != _u462) | ( _u458 != _u464) | ( c_Com_Ocom_OLocal(_u454, _u456, _u458) = c_Com_Ocom_OLocal(_u460, _u462, _u464)) )).
% 27.68/27.93 cnf(matrix-1113, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u470), _u472), _u474)) | c_Natural_Oevaln(_u470, _u472, skolem3(_u474, _u472, _u470), _u474) )).
% 27.68/27.93 cnf(matrix-1114, plain, ( ~c_Natural_Oevaln(_u471, _u473, _u466, _u475) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u471), _u473), _u475)) )).
% 27.68/27.93 cnf(matrix-1115, plain, ( ~c_Natural_Oevaln(_u476, _u477, _u478, _u479) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u476), _u477), _u479)) )).
% 27.68/27.93 cnf(matrix-1116, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u480), _u480)) )).
% 27.68/27.93 cnf(matrix-1117, plain, ( hBOOL(hAPP(c_Com_OWT, _u488)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u484, _u486, _u488))) )).
% 27.68/27.93 cnf(matrix-1118, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u489)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u485, _u487, _u489))) )).
% 27.68/27.93 cnf(matrix-1119, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u490)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u491, _u492, _u490))) )).
% 27.68/27.93 cnf(matrix-1120, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u499, _u501, _u503), _u505, _u507, _u509) | hBOOL(hAPP(_u499, _u505)) | c_Natural_Oevaln(_u503, _u505, _u507, _u509) )).
% 27.68/27.93 cnf(matrix-1121, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u499, _u501, _u503), _u505, _u507, _u509) | c_Natural_Oevaln(_u501, _u505, _u507, _u509) | ~hBOOL(hAPP(_u499, _u505)) )).
% 27.68/27.93 cnf(matrix-1122, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u499, _u501, _u503), _u505, _u507, _u509) | c_Natural_Oevaln(_u501, _u505, _u507, _u509) | c_Natural_Oevaln(_u503, _u505, _u507, _u509) )).
% 27.68/27.93 cnf(matrix-1123, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u500, _u502, _u504), _u506, _u508, _u510) | ~hBOOL(hAPP(_u500, _u506)) | ~c_Natural_Oevaln(_u502, _u506, _u508, _u510) )).
% 27.68/27.93 cnf(matrix-1124, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u500, _u502, _u504), _u506, _u508, _u510) | hBOOL(hAPP(_u500, _u506)) | ~c_Natural_Oevaln(_u504, _u506, _u508, _u510) )).
% 27.68/27.93 cnf(matrix-1125, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u517, _u519, _u521), _u523, _u525, _u527) | hBOOL(hAPP(_u517, _u523)) | c_Natural_Oevaln(_u521, _u523, _u525, _u527) )).
% 27.68/27.93 cnf(matrix-1126, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u517, _u519, _u521), _u523, _u525, _u527) | c_Natural_Oevaln(_u519, _u523, _u525, _u527) | ~hBOOL(hAPP(_u517, _u523)) )).
% 27.68/27.93 cnf(matrix-1127, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u517, _u519, _u521), _u523, _u525, _u527) | c_Natural_Oevaln(_u519, _u523, _u525, _u527) | c_Natural_Oevaln(_u521, _u523, _u525, _u527) )).
% 27.68/27.93 cnf(matrix-1128, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u518, _u520, _u522), _u524, _u526, _u528) | ~hBOOL(hAPP(_u518, _u524)) | ~c_Natural_Oevaln(_u520, _u524, _u526, _u528) )).
% 27.68/27.93 cnf(matrix-1129, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u518, _u520, _u522), _u524, _u526, _u528) | hBOOL(hAPP(_u518, _u524)) | ~c_Natural_Oevaln(_u522, _u524, _u526, _u528) )).
% 27.68/27.93 cnf(matrix-1130, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u529) != c_Com_Ocom_OLocal(_u530, _u531, _u532)) )).
% 27.68/27.93 cnf(matrix-1131, plain, ( ( c_Com_Ocom_OLocal(_u533, _u534, _u535) != hAPP(c_Com_Ocom_OBODY, _u536)) )).
% 27.68/27.93 cnf(matrix-1132, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u540, _u542, _u544))) | hBOOL(hAPP(c_Com_OWT, _u542)) )).
% 27.68/27.93 cnf(matrix-1133, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u540, _u542, _u544))) | hBOOL(hAPP(c_Com_OWT, _u544)) )).
% 27.68/27.93 cnf(matrix-1134, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u543)) | ~hBOOL(hAPP(c_Com_OWT, _u545)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u541, _u543, _u545))) )).
% 27.68/27.93 cnf(matrix-1135, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u546)) | ~hBOOL(hAPP(c_Com_OWT, _u547)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u548, _u546, _u547))) )).
% 27.68/27.93 cnf(matrix-1136, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u549) != c_Com_Ocom_OCond(_u550, _u551, _u552)) )).
% 27.68/27.93 cnf(matrix-1137, plain, ( ( c_Com_Ocom_OCond(_u553, _u554, _u555) != hAPP(c_Com_Ocom_OBODY, _u556)) )).
% 27.68/27.93 cnf(matrix-1138, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u564, _u566), _u568, _u570, _u572) | c_Natural_Oevaln(_u564, _u568, _u570, skolem4(_u572, _u570, _u568, _u566, _u564)) )).
% 27.68/27.93 cnf(matrix-1139, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u564, _u566), _u568, _u570, _u572) | c_Natural_Oevaln(_u566, skolem4(_u572, _u570, _u568, _u566, _u564), _u570, _u572) )).
% 27.68/27.93 cnf(matrix-1140, plain, ( ~c_Natural_Oevaln(_u565, _u569, _u571, _u558) | ~c_Natural_Oevaln(_u567, _u558, _u571, _u573) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u565, _u567), _u569, _u571, _u573) )).
% 27.68/27.93 cnf(matrix-1141, plain, ( ( c_Com_Ocom_OAss(_u574, _u575) != c_Com_Ocom_OLocal(_u576, _u577, _u578)) )).
% 27.68/27.93 cnf(matrix-1142, plain, ( ( c_Com_Ocom_OLocal(_u579, _u580, _u581) != c_Com_Ocom_OAss(_u582, _u583)) )).
% 27.68/27.93 cnf(matrix-1143, plain, ( ( c_Com_Ocom_OCall(_u584, _u585, _u586) != c_Com_Ocom_OLocal(_u587, _u588, _u589)) )).
% 27.68/27.93 cnf(matrix-1144, plain, ( ( c_Com_Ocom_OLocal(_u590, _u591, _u592) != c_Com_Ocom_OCall(_u593, _u594, _u595)) )).
% 27.68/27.93 cnf(matrix-1145, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u596, _u597, _u598)) )).
% 27.68/27.93 cnf(matrix-1146, plain, ( ( c_Com_Ocom_OLocal(_u599, _u600, _u601) != c_Com_Ocom_OSKIP) )).
% 27.68/27.93 cnf(matrix-1147, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u604, _u606))) | hBOOL(hAPP(c_Com_OWT, _u604)) )).
% 27.68/27.93 cnf(matrix-1148, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u604, _u606))) | hBOOL(hAPP(c_Com_OWT, _u606)) )).
% 27.68/27.93 cnf(matrix-1149, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u605)) | ~hBOOL(hAPP(c_Com_OWT, _u607)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u605, _u607))) )).
% 27.68/27.93 cnf(matrix-1150, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u608)) | ~hBOOL(hAPP(c_Com_OWT, _u609)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u608, _u609))) )).
% 27.68/27.93 cnf(matrix-1151, plain, ( ( c_Com_Ocom_OAss(_u610, _u611) != c_Com_Ocom_OCond(_u612, _u613, _u614)) )).
% 27.68/27.93 cnf(matrix-1152, plain, ( ( c_Com_Ocom_OCond(_u615, _u616, _u617) != c_Com_Ocom_OAss(_u618, _u619)) )).
% 27.68/27.93 cnf(matrix-1153, plain, ( ( c_Com_Ocom_OCall(_u620, _u621, _u622) != c_Com_Ocom_OCond(_u623, _u624, _u625)) )).
% 27.68/27.93 cnf(matrix-1154, plain, ( ( c_Com_Ocom_OCond(_u626, _u627, _u628) != c_Com_Ocom_OCall(_u629, _u630, _u631)) )).
% 27.68/27.93 cnf(matrix-1155, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u632, _u633, _u634)) )).
% 27.68/27.93 cnf(matrix-1156, plain, ( ( c_Com_Ocom_OCond(_u635, _u636, _u637) != c_Com_Ocom_OSKIP) )).
% 27.68/27.93 cnf(matrix-1157, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u638) != c_Com_Ocom_OSemi(_u639, _u640)) )).
% 27.68/27.93 cnf(matrix-1158, plain, ( ( c_Com_Ocom_OSemi(_u641, _u642) != hAPP(c_Com_Ocom_OBODY, _u643)) )).
% 27.68/27.93 cnf(matrix-1159, plain, ( ( c_Com_Ocom_OAss(_u644, _u645) != c_Com_Ocom_OSemi(_u646, _u647)) )).
% 27.68/27.93 cnf(matrix-1160, plain, ( ( c_Com_Ocom_OSemi(_u648, _u649) != c_Com_Ocom_OAss(_u650, _u651)) )).
% 27.68/27.93 cnf(matrix-1161, plain, ( ( c_Com_Ocom_OSemi(_u652, _u653) != c_Com_Ocom_OCall(_u654, _u655, _u656)) )).
% 27.68/27.93 cnf(matrix-1162, plain, ( ( c_Com_Ocom_OCall(_u657, _u658, _u659) != c_Com_Ocom_OSemi(_u660, _u661)) )).
% 27.68/27.93 cnf(matrix-1163, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u662, _u663)) )).
% 27.68/27.93 cnf(matrix-1164, plain, ( ( c_Com_Ocom_OSemi(_u664, _u665) != c_Com_Ocom_OSKIP) )).
% 27.68/27.93 cnf(matrix-1165, plain, ( ( c_Com_Ocom_Ocom__rec(_u666, _u667, _u668, _u669, _u670, _u671, _u672, _u673, _u674, c_Com_Ocom_OLocal(_u675, _u676, _u677)) = hAPP(hAPP(hAPP(hAPP(_u669, _u675), _u676), _u677), c_Com_Ocom_Ocom__rec(_u666, _u667, _u668, _u669, _u670, _u671, _u672, _u673, _u674, _u677))) )).
% 27.68/27.93 cnf(matrix-1166, plain, ( ( c_Com_Ocom_Ocom__rec(_u678, _u679, _u680, _u681, _u682, _u683, _u684, _u685, _u686, c_Com_Ocom_OCond(_u687, _u688, _u689)) = hAPP(hAPP(hAPP(hAPP(hAPP(_u683, _u687), _u688), _u689), c_Com_Ocom_Ocom__rec(_u678, _u679, _u680, _u681, _u682, _u683, _u684, _u685, _u686, _u688)), c_Com_Ocom_Ocom__rec(_u678, _u679, _u680, _u681, _u682, _u683, _u684, _u685, _u686, _u689))) )).
% 27.68/27.93 cnf(matrix-1167, plain, ( ( c_Com_Ocom_Ocom__rec(_u690, _u691, _u692, _u693, _u694, _u695, _u696, _u697, _u698, c_Com_Ocom_OSemi(_u699, _u700)) = hAPP(hAPP(hAPP(hAPP(_u694, _u699), _u700), c_Com_Ocom_Ocom__rec(_u690, _u691, _u692, _u693, _u694, _u695, _u696, _u697, _u698, _u699)), c_Com_Ocom_Ocom__rec(_u690, _u691, _u692, _u693, _u694, _u695, _u696, _u697, _u698, _u700))) )).
% 27.68/27.93 cnf(matrix-1168, plain, ( ( c_Com_Ocom_Ocom__case(_u701, _u702, _u703, _u704, _u705, _u706, _u707, _u708, _u709, c_Com_Ocom_OLocal(_u710, _u711, _u712)) = hAPP(hAPP(hAPP(_u704, _u710), _u711), _u712)) )).
% 27.68/27.93 cnf(matrix-1169, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u714, _u715)), _u716), _u717)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u714), _u716), skolem5(_u717, _u716, _u715, _u714))) )).
% 27.68/27.93 cnf(matrix-1170, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u714, _u715)), _u716), _u717)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u715), skolem5(_u717, _u716, _u715, _u714)), _u717)) )).
% 27.68/27.93 cnf(matrix-1171, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u719, _u720), _u721, _u722, _u723) | c_Natural_Oevaln(_u719, _u721, _u722, skolem6(_u723, _u722, _u721, _u720, _u719)) )).
% 27.68/27.93 cnf(matrix-1172, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u719, _u720), _u721, _u722, _u723) | c_Natural_Oevaln(_u720, skolem6(_u723, _u722, _u721, _u720, _u719), _u722, _u723) )).
% 27.68/27.93 cnf(matrix-1173, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u725), _u726), _u727)) | c_Natural_Oevaln(_u725, _u726, skolem7(_u727, _u726, _u725), _u727) )).
% 27.68/27.93 cnf(matrix-1174, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u728), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u729), c_Com_Ovname_OLoc(_u730)), hAPP(_u731, _u729))), _u732)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u730, _u731, _u728)), _u729), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u732), c_Com_Ovname_OLoc(_u730)), hAPP(hAPP(c_Natural_Ogetlocs, _u729), _u730)))) )).
% 27.68/27.93 cnf(matrix-1175, plain, ( ~c_Natural_Oevaln(_u733, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u734), c_Com_Ovname_OLoc(_u735)), hAPP(_u736, _u734)), _u737, _u738) | c_Natural_Oevaln(c_Com_Ocom_OLocal(_u735, _u736, _u733), _u734, _u737, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u738), c_Com_Ovname_OLoc(_u735)), hAPP(hAPP(c_Natural_Ogetlocs, _u734), _u735))) )).
% 27.68/27.93 cnf(matrix-1176, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u746, _u748, _u750)), _u752), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u754), c_Com_Ovname_OLoc(_u746)), hAPP(hAPP(c_Natural_Ogetlocs, _u752), _u746)))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u754), c_Com_Ovname_OLoc(_u746)), hAPP(hAPP(c_Natural_Ogetlocs, _u752), _u746)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem8(_u754, _u752, _u750, _u748, _u746)), c_Com_Ovname_OLoc(_u746)), hAPP(hAPP(c_Natural_Ogetlocs, _u752), _u746))) )).
% 27.68/27.93 cnf(matrix-1177, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u746, _u748, _u750)), _u752), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u754), c_Com_Ovname_OLoc(_u746)), hAPP(hAPP(c_Natural_Ogetlocs, _u752), _u746)))) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u750), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u752), c_Com_Ovname_OLoc(_u746)), hAPP(_u748, _u752))), skolem8(_u754, _u752, _u750, _u748, _u746))) )).
% 27.68/27.93 cnf(matrix-1178, plain, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u755), c_Com_Ovname_OLoc(_u747)), hAPP(hAPP(c_Natural_Ogetlocs, _u753), _u747)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, _u740), c_Com_Ovname_OLoc(_u747)), hAPP(hAPP(c_Natural_Ogetlocs, _u753), _u747))) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u751), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u753), c_Com_Ovname_OLoc(_u747)), hAPP(_u749, _u753))), _u740)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u747, _u749, _u751)), _u753), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u755), c_Com_Ovname_OLoc(_u747)), hAPP(hAPP(c_Natural_Ogetlocs, _u753), _u747)))) )).
% 27.68/27.93 cnf(matrix-1179, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u764, _u766, _u768), _u770, _u772, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u774), c_Com_Ovname_OLoc(_u764)), hAPP(hAPP(c_Natural_Ogetlocs, _u770), _u764))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u774), c_Com_Ovname_OLoc(_u764)), hAPP(hAPP(c_Natural_Ogetlocs, _u770), _u764)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem9(_u774, _u772, _u770, _u768, _u766, _u764)), c_Com_Ovname_OLoc(_u764)), hAPP(hAPP(c_Natural_Ogetlocs, _u770), _u764))) )).
% 27.68/27.93 cnf(matrix-1180, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u764, _u766, _u768), _u770, _u772, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u774), c_Com_Ovname_OLoc(_u764)), hAPP(hAPP(c_Natural_Ogetlocs, _u770), _u764))) | c_Natural_Oevaln(_u768, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u770), c_Com_Ovname_OLoc(_u764)), hAPP(_u766, _u770)), _u772, skolem9(_u774, _u772, _u770, _u768, _u766, _u764)) )).
% 27.68/27.93 cnf(matrix-1181, plain, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u775), c_Com_Ovname_OLoc(_u765)), hAPP(hAPP(c_Natural_Ogetlocs, _u771), _u765)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, _u757), c_Com_Ovname_OLoc(_u765)), hAPP(hAPP(c_Natural_Ogetlocs, _u771), _u765))) | ~c_Natural_Oevaln(_u769, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u771), c_Com_Ovname_OLoc(_u765)), hAPP(_u767, _u771)), _u773, _u757) | c_Natural_Oevaln(c_Com_Ocom_OLocal(_u765, _u767, _u769), _u771, _u773, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u775), c_Com_Ovname_OLoc(_u765)), hAPP(hAPP(c_Natural_Ogetlocs, _u771), _u765))) )).
% 27.68/27.93 cnf(matrix-1182, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u776))), _u777), _u778)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u776)), _u777), _u778)) )).
% 27.68/27.93 cnf(matrix-1183, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u779)), _u780), _u781)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u779))), _u780), _u781)) )).
% 27.68/27.93 cnf(matrix-1184, plain, ( hBOOL(hAPP(c_Com_OWT, _u783)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u782, _u783))) )).
% 27.68/27.93 cnf(matrix-1185, plain, ( hBOOL(hAPP(_u784, _u785)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u784, _u786)), _u785), _u785)) )).
% 27.68/27.93 cnf(matrix-1186, plain, ( ~hBOOL(hAPP(_u787, _u788)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u789), _u788), _u790)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u787, _u789)), _u790), _u791)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u787, _u789)), _u788), _u791)) )).
% 27.68/27.93 cnf(matrix-1187, plain, ( ~hBOOL(hAPP(_u792, _u793)) | ~c_Natural_Oevaln(_u794, _u793, _u795, _u796) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u792, _u794), _u796, _u795, _u797) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u792, _u794), _u793, _u795, _u797) )).
% 27.68/27.93 cnf(matrix-1188, plain, ( hBOOL(hAPP(_u798, _u799)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u798, _u800), _u799, _u801, _u799) )).
% 27.68/27.93 cnf(matrix-1189, plain, ( ( c_Com_Ocom_OWhile(_u806, _u808) != c_Com_Ocom_OWhile(_u810, _u812)) | ( _u806 = _u810) )).
% 27.68/27.93 cnf(matrix-1190, plain, ( ( c_Com_Ocom_OWhile(_u806, _u808) != c_Com_Ocom_OWhile(_u810, _u812)) | ( _u808 = _u812) )).
% 27.68/27.93 cnf(matrix-1191, plain, ( ( _u807 != _u811) | ( _u809 != _u813) | ( c_Com_Ocom_OWhile(_u807, _u809) = c_Com_Ocom_OWhile(_u811, _u813)) )).
% 27.68/27.93 cnf(matrix-1192, plain, ( ( c_Com_Ovname_OLoc(_u816) != c_Com_Ovname_OLoc(_u818)) | ( _u816 = _u818) )).
% 27.68/27.93 cnf(matrix-1193, plain, ( ( _u817 != _u819) | ( c_Com_Ovname_OLoc(_u817) = c_Com_Ovname_OLoc(_u819)) )).
% 27.68/27.93 cnf(matrix-1194, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), _u831, _u833, _u835) | ( _u835 = _u831) | hBOOL(hAPP(_u827, _u831)) )).
% 27.68/27.93 cnf(matrix-1195, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), _u831, _u833, _u835) | ( _u835 = _u831) | c_Natural_Oevaln(_u829, _u831, _u833, skolem10(_u835, _u833, _u831, _u829, _u827)) )).
% 27.68/27.93 cnf(matrix-1196, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), _u831, _u833, _u835) | ( _u835 = _u831) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), skolem10(_u835, _u833, _u831, _u829, _u827), _u833, _u835) )).
% 27.68/27.93 cnf(matrix-1197, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), _u831, _u833, _u835) | ~hBOOL(hAPP(_u827, _u831)) | c_Natural_Oevaln(_u829, _u831, _u833, skolem10(_u835, _u833, _u831, _u829, _u827)) )).
% 27.68/27.93 cnf(matrix-1198, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), _u831, _u833, _u835) | ~hBOOL(hAPP(_u827, _u831)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u827, _u829), skolem10(_u835, _u833, _u831, _u829, _u827), _u833, _u835) )).
% 27.68/27.93 cnf(matrix-1199, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u828, _u830), _u832, _u834, _u836) | ( _u836 != _u832) | hBOOL(hAPP(_u828, _u832)) )).
% 27.68/27.93 cnf(matrix-1200, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u828, _u830), _u832, _u834, _u836) | ~hBOOL(hAPP(_u828, _u832)) | ~c_Natural_Oevaln(_u830, _u832, _u834, _u821) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u828, _u830), _u821, _u834, _u836) )).
% 27.68/27.93 cnf(matrix-1201, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u843, _u845), _u847, _u849, _u847) | ~hBOOL(hAPP(_u843, _u847)) | c_Natural_Oevaln(_u845, _u847, _u849, skolem11(_u849, _u847, _u845, _u843)) )).
% 27.68/27.93 cnf(matrix-1202, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u843, _u845), _u847, _u849, _u847) | ~hBOOL(hAPP(_u843, _u847)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u843, _u845), skolem11(_u849, _u847, _u845, _u843), _u849, _u847) )).
% 27.68/27.93 cnf(matrix-1203, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u844, _u846), _u848, _u850, _u848) | hBOOL(hAPP(_u844, _u848)) )).
% 27.68/27.93 cnf(matrix-1204, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u844, _u846), _u848, _u850, _u848) | ~c_Natural_Oevaln(_u846, _u848, _u850, _u838) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u844, _u846), _u838, _u850, _u848) )).
% 27.68/27.93 cnf(matrix-1205, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), _u861), _u863)) | ( _u863 = _u861) | hBOOL(hAPP(_u857, _u861)) )).
% 27.68/27.93 cnf(matrix-1206, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), _u861), _u863)) | ( _u863 = _u861) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u859), _u861), skolem12(_u863, _u861, _u859, _u857))) )).
% 27.68/27.93 cnf(matrix-1207, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), _u861), _u863)) | ( _u863 = _u861) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), skolem12(_u863, _u861, _u859, _u857)), _u863)) )).
% 27.68/27.93 cnf(matrix-1208, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), _u861), _u863)) | ~hBOOL(hAPP(_u857, _u861)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u859), _u861), skolem12(_u863, _u861, _u859, _u857))) )).
% 27.68/27.93 cnf(matrix-1209, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), _u861), _u863)) | ~hBOOL(hAPP(_u857, _u861)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u857, _u859)), skolem12(_u863, _u861, _u859, _u857)), _u863)) )).
% 27.68/27.93 cnf(matrix-1210, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u858, _u860)), _u862), _u864)) | ( _u864 != _u862) | hBOOL(hAPP(_u858, _u862)) )).
% 27.68/27.93 cnf(matrix-1211, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u858, _u860)), _u862), _u864)) | ~hBOOL(hAPP(_u858, _u862)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u860), _u862), _u852)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u858, _u860)), _u852), _u864)) )).
% 27.68/27.93 cnf(matrix-1212, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u870, _u872)), _u874), _u874)) | ~hBOOL(hAPP(_u870, _u874)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u872), _u874), skolem13(_u874, _u872, _u870))) )).
% 27.68/27.93 cnf(matrix-1213, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u870, _u872)), _u874), _u874)) | ~hBOOL(hAPP(_u870, _u874)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u870, _u872)), skolem13(_u874, _u872, _u870)), _u874)) )).
% 27.68/27.93 cnf(matrix-1214, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u871, _u873)), _u875), _u875)) | hBOOL(hAPP(_u871, _u875)) )).
% 27.68/27.93 cnf(matrix-1215, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u871, _u873)), _u875), _u875)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u873), _u875), _u866)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u871, _u873)), _u866), _u875)) )).
% 27.68/27.93 cnf(matrix-1216, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u876)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u877, _u876))) )).
% 27.68/27.93 cnf(matrix-1217, plain, ( hBOOL(hAPP(c_Com_OWT, _u882)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u880, _u882))) )).
% 27.68/27.93 cnf(matrix-1218, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u883)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u881, _u883))) )).
% 27.68/27.93 cnf(matrix-1219, plain, ( ( c_Com_Ocom_OWhile(_u884, _u885) != hAPP(c_Com_Ocom_OBODY, _u886)) )).
% 27.68/27.93 cnf(matrix-1220, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u887) != c_Com_Ocom_OWhile(_u888, _u889)) )).
% 27.68/27.93 cnf(matrix-1221, plain, ( ( c_Com_Ocom_OCond(_u890, _u891, _u892) != c_Com_Ocom_OWhile(_u893, _u894)) )).
% 27.68/27.93 cnf(matrix-1222, plain, ( ( c_Com_Ocom_OWhile(_u895, _u896) != c_Com_Ocom_OCond(_u897, _u898, _u899)) )).
% 27.68/27.93 cnf(matrix-1223, plain, ( ( c_Com_Ocom_OWhile(_u900, _u901) != c_Com_Ocom_OAss(_u902, _u903)) )).
% 27.68/27.93 cnf(matrix-1224, plain, ( ( c_Com_Ocom_OAss(_u904, _u905) != c_Com_Ocom_OWhile(_u906, _u907)) )).
% 27.68/27.93 cnf(matrix-1225, plain, ( ( c_Com_Ocom_OCall(_u908, _u909, _u910) != c_Com_Ocom_OWhile(_u911, _u912)) )).
% 27.68/27.93 cnf(matrix-1226, plain, ( ( c_Com_Ocom_OWhile(_u913, _u914) != c_Com_Ocom_OCall(_u915, _u916, _u917)) )).
% 27.68/27.93 cnf(matrix-1227, plain, ( ( c_Com_Ocom_OLocal(_u918, _u919, _u920) != c_Com_Ocom_OWhile(_u921, _u922)) )).
% 27.68/27.93 cnf(matrix-1228, plain, ( ( c_Com_Ocom_OWhile(_u923, _u924) != c_Com_Ocom_OLocal(_u925, _u926, _u927)) )).
% 27.68/27.93 cnf(matrix-1229, plain, ( ( c_Com_Ocom_OWhile(_u928, _u929) != c_Com_Ocom_OSemi(_u930, _u931)) )).
% 27.68/27.93 cnf(matrix-1230, plain, ( ( c_Com_Ocom_OSemi(_u932, _u933) != c_Com_Ocom_OWhile(_u934, _u935)) )).
% 27.68/27.93 cnf(matrix-1231, plain, ( ( c_Com_Ocom_OWhile(_u936, _u937) != c_Com_Ocom_OSKIP) )).
% 27.68/27.93 cnf(matrix-1232, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u938, _u939)) )).
% 27.68/27.93 cnf(matrix-1233, plain, ( ( c_Com_Ocom_Ocom__rec(_u940, _u941, _u942, _u943, _u944, _u945, _u946, _u947, _u948, c_Com_Ocom_OWhile(_u949, _u950)) = hAPP(hAPP(hAPP(_u946, _u949), _u950), c_Com_Ocom_Ocom__rec(_u940, _u941, _u942, _u943, _u944, _u945, _u946, _u947, _u948, _u950))) )).
% 27.68/27.93 cnf(matrix-1234, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u954)), _u956), _u958)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u954))), _u956), _u958)) )).
% 27.68/27.93 cnf(matrix-1235, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u955))), _u957), _u959)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u955)), _u957), _u959)) )).
% 27.68/27.93 cnf(matrix-1236, plain, ( ( c_Com_Ocom_Ocom__case(_u960, _u961, _u962, _u963, _u964, _u965, _u966, _u967, _u968, c_Com_Ocom_OWhile(_u969, _u970)) = hAPP(hAPP(_u966, _u969), _u970)) )).
% 27.68/27.93 cnf(matrix-1237, plain, ( ( c_Com_Ovname_Ovname__size(c_Com_Ovname_OLoc(_u971)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1238, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u973, _u974, _u975)), _u976), _u977)) | ( _u977 = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem14(_u977, _u976, _u975, _u974, _u973)), c_Com_Ovname_OLoc(_u973)), hAPP(hAPP(c_Natural_Ogetlocs, _u976), _u973))) )).
% 27.68/27.93 cnf(matrix-1239, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u973, _u974, _u975)), _u976), _u977)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u975), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u976), c_Com_Ovname_OLoc(_u973)), hAPP(_u974, _u976))), skolem14(_u977, _u976, _u975, _u974, _u973))) )).
% 27.68/27.93 cnf(matrix-1240, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u979, _u980, _u981), _u982, _u983, _u984) | ( _u984 = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem15(_u984, _u983, _u982, _u981, _u980, _u979)), c_Com_Ovname_OLoc(_u979)), hAPP(hAPP(c_Natural_Ogetlocs, _u982), _u979))) )).
% 27.68/27.93 cnf(matrix-1241, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u979, _u980, _u981), _u982, _u983, _u984) | c_Natural_Oevaln(_u981, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u982), c_Com_Ovname_OLoc(_u979)), hAPP(_u980, _u982)), _u983, skolem15(_u984, _u983, _u982, _u981, _u980, _u979)) )).
% 27.68/27.93 cnf(matrix-1242, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname), c_Com_Ovname_OLoc(_u985)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1243, plain, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u986)), _u987, _u988, _u989) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u986), _u987, hAPP(c_Nat_OSuc, _u988), _u989) )).
% 27.68/27.93 cnf(matrix-1244, plain, ( ( c_Com_Ovname_Ovname__case(_u990, _u991, _u992, c_Com_Ovname_OLoc(_u993)) = hAPP(_u992, _u993)) )).
% 27.68/27.93 cnf(matrix-1245, plain, ( ( c_Com_Ovname_Ovname__rec(_u994, _u995, _u996, c_Com_Ovname_OLoc(_u997)) = hAPP(_u996, _u997)) )).
% 27.68/27.93 cnf(matrix-1246, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1002), _u1004, hAPP(c_Nat_OSuc, _u1006), _u1008) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1002)), _u1004, _u1006, _u1008) )).
% 27.68/27.93 cnf(matrix-1247, plain, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1003)), _u1005, _u1007, _u1009) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1003), _u1005, hAPP(c_Nat_OSuc, _u1007), _u1009) )).
% 27.68/27.93 cnf(matrix-1248, plain, ( ( hAPP(c_Com_Obody, _u1010) = c_Option_Ooption_ONone(tc_Com_Ocom)) | hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1010))) )).
% 27.68/27.93 cnf(matrix-1249, plain, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1014))) | ( hAPP(c_Com_Obody, _u1014) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), skolem16(_u1014))) )).
% 27.68/27.93 cnf(matrix-1250, plain, ( ( hAPP(c_Com_Obody, _u1015) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _u1012)) | hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1015))) )).
% 27.68/27.93 cnf(matrix-1251, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1016)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1017), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1018, _u1017))), _u1019)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u1020, _u1016, _u1018)), _u1017), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1019), hAPP(c_Natural_Ogetlocs, _u1017))), _u1020), hAPP(hAPP(c_Natural_Ogetlocs, _u1019), c_Com_ORes)))) )).
% 27.68/27.93 cnf(matrix-1252, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1021), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1022), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1023, _u1022)), _u1024, _u1025) | c_Natural_Oevaln(c_Com_Ocom_OCall(_u1026, _u1021, _u1023), _u1022, _u1024, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1025), hAPP(c_Natural_Ogetlocs, _u1022))), _u1026), hAPP(hAPP(c_Natural_Ogetlocs, _u1025), c_Com_ORes))) )).
% 27.68/27.93 cnf(matrix-1253, plain, ( ~c_Natural_Oevaln(_u1027, _u1028, _u1029, _u1030) | c_Natural_Oevaln(_u1027, _u1028, hAPP(c_Nat_OSuc, _u1029), _u1030) )).
% 27.68/27.93 cnf(matrix-1254, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u1039, _u1041, _u1043), _u1045, _u1047, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1049), hAPP(c_Natural_Ogetlocs, _u1045))), _u1039), hAPP(hAPP(c_Natural_Ogetlocs, _u1049), c_Com_ORes))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1049), hAPP(c_Natural_Ogetlocs, _u1045))), _u1039), hAPP(hAPP(c_Natural_Ogetlocs, _u1049), c_Com_ORes)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem17(_u1049, _u1047, _u1045, _u1043, _u1041, _u1039)), hAPP(c_Natural_Ogetlocs, _u1045))), _u1039), hAPP(hAPP(c_Natural_Ogetlocs, skolem17(_u1049, _u1047, _u1045, _u1043, _u1041, _u1039)), c_Com_ORes))) )).
% 27.68/27.93 cnf(matrix-1255, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u1039, _u1041, _u1043), _u1045, _u1047, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1049), hAPP(c_Natural_Ogetlocs, _u1045))), _u1039), hAPP(hAPP(c_Natural_Ogetlocs, _u1049), c_Com_ORes))) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1041), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1045), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1043, _u1045)), _u1047, skolem17(_u1049, _u1047, _u1045, _u1043, _u1041, _u1039)) )).
% 27.68/27.93 cnf(matrix-1256, plain, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1050), hAPP(c_Natural_Ogetlocs, _u1046))), _u1040), hAPP(hAPP(c_Natural_Ogetlocs, _u1050), c_Com_ORes)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1032), hAPP(c_Natural_Ogetlocs, _u1046))), _u1040), hAPP(hAPP(c_Natural_Ogetlocs, _u1032), c_Com_ORes))) | ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1042), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1046), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1044, _u1046)), _u1048, _u1032) | c_Natural_Oevaln(c_Com_Ocom_OCall(_u1040, _u1042, _u1044), _u1046, _u1048, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1050), hAPP(c_Natural_Ogetlocs, _u1046))), _u1040), hAPP(hAPP(c_Natural_Ogetlocs, _u1050), c_Com_ORes))) )).
% 27.68/27.93 cnf(matrix-1257, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u1058, _u1060, _u1062)), _u1064), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1066), hAPP(c_Natural_Ogetlocs, _u1064))), _u1058), hAPP(hAPP(c_Natural_Ogetlocs, _u1066), c_Com_ORes)))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1066), hAPP(c_Natural_Ogetlocs, _u1064))), _u1058), hAPP(hAPP(c_Natural_Ogetlocs, _u1066), c_Com_ORes)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem18(_u1066, _u1064, _u1062, _u1060, _u1058)), hAPP(c_Natural_Ogetlocs, _u1064))), _u1058), hAPP(hAPP(c_Natural_Ogetlocs, skolem18(_u1066, _u1064, _u1062, _u1060, _u1058)), c_Com_ORes))) )).
% 27.68/27.93 cnf(matrix-1258, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u1058, _u1060, _u1062)), _u1064), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1066), hAPP(c_Natural_Ogetlocs, _u1064))), _u1058), hAPP(hAPP(c_Natural_Ogetlocs, _u1066), c_Com_ORes)))) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1060)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1064), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1062, _u1064))), skolem18(_u1066, _u1064, _u1062, _u1060, _u1058))) )).
% 27.68/27.93 cnf(matrix-1259, plain, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1067), hAPP(c_Natural_Ogetlocs, _u1065))), _u1059), hAPP(hAPP(c_Natural_Ogetlocs, _u1067), c_Com_ORes)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1052), hAPP(c_Natural_Ogetlocs, _u1065))), _u1059), hAPP(hAPP(c_Natural_Ogetlocs, _u1052), c_Com_ORes))) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1061)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1065), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1063, _u1065))), _u1052)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u1059, _u1061, _u1063)), _u1065), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1067), hAPP(c_Natural_Ogetlocs, _u1065))), _u1059), hAPP(hAPP(c_Natural_Ogetlocs, _u1067), c_Com_ORes)))) )).
% 27.68/27.93 cnf(matrix-1260, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u1069, _u1070, _u1071)), _u1072), _u1073)) | ( _u1073 = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem19(_u1073, _u1072, _u1071, _u1070, _u1069)), hAPP(c_Natural_Ogetlocs, _u1072))), _u1069), hAPP(hAPP(c_Natural_Ogetlocs, skolem19(_u1073, _u1072, _u1071, _u1070, _u1069)), c_Com_ORes))) )).
% 27.68/27.93 cnf(matrix-1261, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u1069, _u1070, _u1071)), _u1072), _u1073)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u1070)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1072), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1071, _u1072))), skolem19(_u1073, _u1072, _u1071, _u1070, _u1069))) )).
% 27.68/27.93 cnf(matrix-1262, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u1075, _u1076, _u1077), _u1078, _u1079, _u1080) | ( _u1080 = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem20(_u1080, _u1079, _u1078, _u1077, _u1076, _u1075)), hAPP(c_Natural_Ogetlocs, _u1078))), _u1075), hAPP(hAPP(c_Natural_Ogetlocs, skolem20(_u1080, _u1079, _u1078, _u1077, _u1076, _u1075)), c_Com_ORes))) )).
% 27.68/27.93 cnf(matrix-1263, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u1075, _u1076, _u1077), _u1078, _u1079, _u1080) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1076), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u1078), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u1077, _u1078)), _u1079, skolem20(_u1080, _u1079, _u1078, _u1077, _u1076, _u1075)) )).
% 27.68/27.93 cnf(matrix-1264, plain, ( ~c_Com_OWT__bodies | hBOOL(hAPP(c_Com_OWT, _u1082)) | ( hAPP(c_Com_Obody, _u1081) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _u1082)) )).
% 27.68/27.93 cnf(matrix-1265, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1084), _u1085, _u1086, _u1087) | ( _u1086 = hAPP(c_Nat_OSuc, skolem21(_u1087, _u1086, _u1085, _u1084))) )).
% 27.68/27.93 cnf(matrix-1266, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1084), _u1085, _u1086, _u1087) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1084)), _u1085, skolem21(_u1087, _u1086, _u1085, _u1084), _u1087) )).
% 27.68/27.93 cnf(matrix-1267, plain, ( ( c_Option_Ooption_Ooption__size(_u1088, _u1089, c_Option_Ooption_ONone(_u1088)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1268, plain, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u1091))) | ( hAPP(c_Com_Obody, _u1091) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), skolem22(_u1091))) )).
% 27.68/27.93 cnf(matrix-1269, plain, ( ( hAPP(c_Option_Othe(_u1092), hAPP(c_Option_Ooption_OSome(_u1092), _u1093)) = _u1093) )).
% 27.68/27.93 cnf(matrix-1270, plain, ( ( _u1098 = c_Option_Ooption_ONone(_u1100)) | ( _u1098 = hAPP(c_Option_Ooption_OSome(_u1100), skolem23(_u1100, _u1098))) )).
% 27.68/27.93 cnf(matrix-1271, plain, ( ( _u1099 != hAPP(c_Option_Ooption_OSome(_u1101), _u1095)) | ( _u1099 != c_Option_Ooption_ONone(_u1101)) )).
% 27.68/27.93 cnf(matrix-1272, plain, ( ( _u1106 = hAPP(c_Option_Ooption_OSome(_u1108), skolem24(_u1108, _u1106))) | ( _u1106 = c_Option_Ooption_ONone(_u1108)) )).
% 27.68/27.93 cnf(matrix-1273, plain, ( ( _u1107 != c_Option_Ooption_ONone(_u1109)) | ( _u1107 != hAPP(c_Option_Ooption_OSome(_u1109), _u1103)) )).
% 27.68/27.93 cnf(matrix-1274, plain, ( ( hAPP(c_Option_Ooption_OSome(_u1110), _u1111) != c_Option_Ooption_ONone(_u1110)) )).
% 27.68/27.93 cnf(matrix-1275, plain, ( ( _u1117 = _u1119) | ( hAPP(c_Option_Ooption_OSome(_u1115), _u1117) != hAPP(c_Option_Ooption_OSome(_u1115), _u1119)) )).
% 27.68/27.93 cnf(matrix-1276, plain, ( ( _u1118 != _u1120) | ( hAPP(c_Option_Ooption_OSome(_u1116), _u1118) = hAPP(c_Option_Ooption_OSome(_u1116), _u1120)) )).
% 27.68/27.93 cnf(matrix-1277, plain, ( ( c_Option_Ooption_ONone(_u1121) != hAPP(c_Option_Ooption_OSome(_u1121), _u1122)) )).
% 27.68/27.93 cnf(matrix-1278, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u1123)), hAPP(c_Option_Ooption_OSome(_u1123), _u1124)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1279, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u1125)), c_Option_Ooption_ONone(_u1125)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1280, plain, ( ( hAPP(c_Nat_OSuc, _u1126) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1281, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u1127)) )).
% 27.68/27.93 cnf(matrix-1282, plain, ( ( hAPP(c_Nat_OSuc, _u1128) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1283, plain, ( ( hAPP(c_Nat_OSuc, _u1129) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1284, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u1130)) )).
% 27.68/27.93 cnf(matrix-1285, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u1131)) )).
% 27.68/27.93 cnf(matrix-1286, plain, ( ( c_Com_Ovname_Ovname__size(c_Com_Ovname_OGlb(_u1132)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1287, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname), c_Com_Ovname_OGlb(_u1133)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1288, plain, ( ( c_Option_Ooption_Ooption__size(_u1134, _u1135, hAPP(c_Option_Ooption_OSome(_u1134), _u1136)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1135, _u1136)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1289, plain, ( ~class_Groups_Oab__semigroup__add(_u1137) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), _u1138), _u1139)), _u1140) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), _u1138), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1137), _u1139), _u1140))) )).
% 27.68/27.93 cnf(matrix-1290, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1141) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1142), _u1143) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1142), _u1144)) | ( _u1143 = _u1144) )).
% 27.68/27.93 cnf(matrix-1291, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1141) | ( _u1143 != _u1144) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1142), _u1143) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1141), _u1142), _u1144)) )).
% 27.68/27.93 cnf(matrix-1292, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1145) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1145), _u1146), _u1147) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1145), _u1148), _u1147)) | ( _u1146 = _u1148) )).
% 27.68/27.93 cnf(matrix-1293, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1145) | ( _u1146 != _u1148) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1145), _u1146), _u1147) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1145), _u1148), _u1147)) )).
% 27.68/27.93 cnf(matrix-1294, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1149) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1149), _u1150), _u1151) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1149), _u1150), _u1152)) | ( _u1151 = _u1152) )).
% 27.68/27.93 cnf(matrix-1295, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1153) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1153), _u1154), _u1155) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1153), _u1154), _u1156)) | ( _u1155 = _u1156) )).
% 27.68/27.93 cnf(matrix-1296, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1157) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1157), _u1158), _u1159) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1157), _u1160), _u1159)) | ( _u1158 = _u1160) )).
% 27.68/27.93 cnf(matrix-1297, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1164), _u1166) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1168), _u1166)) | ( _u1164 = _u1168) )).
% 27.68/27.93 cnf(matrix-1298, plain, ( ( _u1165 != _u1169) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1165), _u1167) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1169), _u1167)) )).
% 27.68/27.93 cnf(matrix-1299, plain, ( ( _u1175 = _u1177) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1173), _u1175) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1173), _u1177)) )).
% 27.68/27.93 cnf(matrix-1300, plain, ( ( _u1176 != _u1178) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1174), _u1176) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1174), _u1178)) )).
% 27.68/27.93 cnf(matrix-1301, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1179), _u1180)), _u1181) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1179), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1180), _u1181))) )).
% 27.68/27.93 cnf(matrix-1302, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1182), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1183), _u1184)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1183), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1182), _u1184))) )).
% 27.68/27.93 cnf(matrix-1303, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1185), _u1186) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1186), _u1185)) )).
% 27.68/27.93 cnf(matrix-1304, plain, ( ( c_Com_Ovname_OGlb(_u1189) != c_Com_Ovname_OGlb(_u1191)) | ( _u1189 = _u1191) )).
% 27.68/27.93 cnf(matrix-1305, plain, ( ( _u1190 != _u1192) | ( c_Com_Ovname_OGlb(_u1190) = c_Com_Ovname_OGlb(_u1192)) )).
% 27.68/27.93 cnf(matrix-1306, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1193) = _u1193) )).
% 27.68/27.93 cnf(matrix-1307, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1194), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1194) )).
% 27.68/27.93 cnf(matrix-1308, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1197), _u1199) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1197 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1309, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1197), _u1199) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1199 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1310, plain, ( ( _u1198 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1200 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1198), _u1200) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1311, plain, ( ( _u1202 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1201), _u1202) != _u1201) )).
% 27.68/27.93 cnf(matrix-1312, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1203)), _u1204) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1203), hAPP(c_Nat_OSuc, _u1204))) )).
% 27.68/27.93 cnf(matrix-1313, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1205)), _u1206) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1205), _u1206))) )).
% 27.68/27.93 cnf(matrix-1314, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1207), hAPP(c_Nat_OSuc, _u1208)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1207), _u1208))) )).
% 27.68/27.93 cnf(matrix-1315, plain, ( ~class_Groups_Omonoid__add(_u1209) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1209), c_Groups_Ozero__class_Ozero(_u1209)), _u1210) = _u1210) )).
% 27.68/27.93 cnf(matrix-1316, plain, ( ~class_Groups_Ocomm__monoid__add(_u1211) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1211), c_Groups_Ozero__class_Ozero(_u1211)), _u1212) = _u1212) )).
% 27.68/27.93 cnf(matrix-1317, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1213) | ( c_Groups_Ozero__class_Ozero(_u1213) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1213), _u1214), _u1214)) | ( _u1214 = c_Groups_Ozero__class_Ozero(_u1213)) )).
% 27.68/27.93 cnf(matrix-1318, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1213) | ( _u1214 != c_Groups_Ozero__class_Ozero(_u1213)) | ( c_Groups_Ozero__class_Ozero(_u1213) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1213), _u1214), _u1214)) )).
% 27.68/27.93 cnf(matrix-1319, plain, ( ~class_Groups_Omonoid__add(_u1215) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1215), _u1216), c_Groups_Ozero__class_Ozero(_u1215)) = _u1216) )).
% 27.68/27.93 cnf(matrix-1320, plain, ( ~class_Groups_Ocomm__monoid__add(_u1217) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1217), _u1218), c_Groups_Ozero__class_Ozero(_u1217)) = _u1218) )).
% 27.68/27.93 cnf(matrix-1321, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1221), _u1223)) | ( _u1221 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1221 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1322, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1221), _u1223)) | ( _u1221 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1223 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-1323, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1221), _u1223)) | ( _u1223 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1221 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1324, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1221), _u1223)) | ( _u1223 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1223 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-1325, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1222), _u1224)) | ( _u1222 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1224 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1326, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1222), _u1224)) | ( _u1222 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1224 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-1327, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1227), _u1229) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1227 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1328, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1227), _u1229) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1227 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1229 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-1329, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1227), _u1229) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1229 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1330, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1227), _u1229) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1229 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1229 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-1331, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1228), _u1230) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1228 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1230 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1332, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1228), _u1230) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1228 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1230 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-1333, plain, ( ( c_Com_Ovname_OGlb(_u1231) != c_Com_Ovname_OLoc(_u1232)) )).
% 27.68/27.93 cnf(matrix-1334, plain, ( ( c_Com_Ovname_OLoc(_u1233) != c_Com_Ovname_OGlb(_u1234)) )).
% 27.68/27.93 cnf(matrix-1335, plain, ( ( hAPP(c_Nat_OSuc, _u1235) != hAPP(c_Nat_OSuc, _u1236)) | ( _u1235 = _u1236) )).
% 27.68/27.93 cnf(matrix-1336, plain, ( ( hAPP(c_Nat_OSuc, _u1239) != hAPP(c_Nat_OSuc, _u1241)) | ( _u1239 = _u1241) )).
% 27.68/27.93 cnf(matrix-1337, plain, ( ( _u1240 != _u1242) | ( hAPP(c_Nat_OSuc, _u1240) = hAPP(c_Nat_OSuc, _u1242)) )).
% 27.68/27.93 cnf(matrix-1338, plain, ( ( hAPP(c_Nat_OSuc, _u1243) != _u1243) )).
% 27.68/27.93 cnf(matrix-1339, plain, ( ( _u1244 != hAPP(c_Nat_OSuc, _u1244)) )).
% 27.68/27.93 cnf(matrix-1340, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1245)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u1245)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1341, plain, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u1246)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u1246)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1342, plain, ( ( c_Com_Ovname_Ovname__rec(_u1247, _u1248, _u1249, c_Com_Ovname_OGlb(_u1250)) = hAPP(_u1248, _u1250)) )).
% 27.68/27.93 cnf(matrix-1343, plain, ( ( c_Com_Ovname_Ovname__case(_u1251, _u1252, _u1253, c_Com_Ovname_OGlb(_u1254)) = hAPP(_u1252, _u1254)) )).
% 27.68/27.93 cnf(matrix-1344, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u1255, _u1256)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1256)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1345, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u1257, _u1258)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u1258)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1346, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u1259, _u1260, _u1261)) = 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), _u1260)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1261))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1347, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u1262, _u1263, _u1264)) = 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(_u1263)), c_Com_Ocom_Ocom__size(_u1264))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1348, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u1265, _u1266, _u1267)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1267)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1349, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u1268, _u1269, _u1270)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u1270)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1350, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u1271, _u1272)) = 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), _u1271)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1272))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1351, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u1273, _u1274)) = 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(_u1273)), c_Com_Ocom_Ocom__size(_u1274))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1352, plain, ( ~class_Rings_Ocomm__semiring__1(_u1275) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1275), c_Groups_Ozero__class_Ozero(_u1275)), _u1276) = _u1276) )).
% 27.68/27.93 cnf(matrix-1353, plain, ( ~class_Rings_Ocomm__semiring__1(_u1277) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1277), _u1278), c_Groups_Ozero__class_Ozero(_u1277)) = _u1278) )).
% 27.68/27.93 cnf(matrix-1354, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1279) | ( _u1280 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1279), _u1280), _u1281)) | ( _u1281 = c_Groups_Ozero__class_Ozero(_u1279)) )).
% 27.68/27.93 cnf(matrix-1355, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1279) | ( _u1281 != c_Groups_Ozero__class_Ozero(_u1279)) | ( _u1280 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1279), _u1280), _u1281)) )).
% 27.68/27.93 cnf(matrix-1356, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1282) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1282), _u1283), _u1283) != c_Groups_Ozero__class_Ozero(_u1282)) | ( _u1283 = c_Groups_Ozero__class_Ozero(_u1282)) )).
% 27.68/27.93 cnf(matrix-1357, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1282) | ( _u1283 != c_Groups_Ozero__class_Ozero(_u1282)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1282), _u1283), _u1283) = c_Groups_Ozero__class_Ozero(_u1282)) )).
% 27.68/27.93 cnf(matrix-1358, plain, ( ( hAPP(c_Option_Ooption_Ooption__case(_u1284, _u1285, _u1286, _u1287), hAPP(c_Option_Ooption_OSome(_u1285), _u1288)) = hAPP(_u1287, _u1288)) )).
% 27.68/27.93 cnf(matrix-1359, plain, ( ( c_Option_Ooption_Ooption__rec(_u1289, _u1290, _u1291, _u1292, hAPP(c_Option_Ooption_OSome(_u1290), _u1293)) = hAPP(_u1292, _u1293)) )).
% 27.68/27.93 cnf(matrix-1360, plain, ( ( hAPP(c_Option_Ooption_Ooption__case(_u1294, _u1295, _u1296, _u1297), c_Option_Ooption_ONone(_u1295)) = _u1296) )).
% 27.68/27.93 cnf(matrix-1361, plain, ( ( c_Option_Ooption_Ooption__rec(_u1298, _u1299, _u1300, _u1301, c_Option_Ooption_ONone(_u1299)) = _u1300) )).
% 27.68/27.93 cnf(matrix-1362, plain, ( ~c_Option_Ois__none(_u1302, hAPP(c_Option_Ooption_OSome(_u1302), _u1303)) )).
% 27.68/27.93 cnf(matrix-1363, plain, ( ~c_Option_Ois__none(_u1306, _u1308) | ( _u1308 = c_Option_Ooption_ONone(_u1306)) )).
% 27.68/27.93 cnf(matrix-1364, plain, ( ( _u1309 != c_Option_Ooption_ONone(_u1307)) | c_Option_Ois__none(_u1307, _u1309) )).
% 27.68/27.93 cnf(matrix-1365, plain, ( c_Option_Ois__none(_u1310, c_Option_Ooption_ONone(_u1310)) )).
% 27.68/27.93 cnf(matrix-1366, plain, ( ~class_Rings_Ocomm__semiring__1(_u1311) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1311), _u1312), _u1313) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1311), _u1313), _u1312)) )).
% 27.68/27.93 cnf(matrix-1367, plain, ( ~class_Rings_Ocomm__semiring__1(_u1314) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1314), _u1315), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1314), _u1316), _u1317)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1314), _u1316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1314), _u1315), _u1317))) )).
% 27.68/27.93 cnf(matrix-1368, plain, ( ~class_Rings_Ocomm__semiring__1(_u1318) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1318), _u1319), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1318), _u1320), _u1321)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1318), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1318), _u1319), _u1320)), _u1321)) )).
% 27.68/27.93 cnf(matrix-1369, plain, ( ~class_Rings_Ocomm__semiring__1(_u1322) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1322), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1322), _u1323), _u1324)), _u1325) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1322), _u1323), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1322), _u1324), _u1325))) )).
% 27.68/27.93 cnf(matrix-1370, plain, ( ~class_Rings_Ocomm__semiring__1(_u1326) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1326), _u1327), _u1328)), _u1329) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1326), _u1327), _u1329)), _u1328)) )).
% 27.68/27.93 cnf(matrix-1371, plain, ( ~class_Rings_Ocomm__semiring__1(_u1330) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1330), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1330), _u1331), _u1332)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1330), _u1333), _u1334)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1330), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1330), _u1331), _u1333)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1330), _u1332), _u1334))) )).
% 27.68/27.93 cnf(matrix-1372, plain, ( ~class_Rings_Osemiring__1(_u1335) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u1335, _u1336, hAPP(c_Nat_OSuc, _u1337), _u1338) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u1335, _u1336, _u1337, hAPP(_u1336, _u1338))) )).
% 27.68/27.93 cnf(matrix-1373, plain, ( ~class_Rings_Osemiring__1(_u1339) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u1339, _u1340, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1341) = _u1341) )).
% 27.68/27.93 cnf(matrix-1374, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), _u1345), _u1346)) | ( _u1346 = _u1345) | hBOOL(hAPP(_u1343, _u1345)) )).
% 27.68/27.93 cnf(matrix-1375, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), _u1345), _u1346)) | ( _u1346 = _u1345) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1344), _u1345), skolem25(_u1346, _u1345, _u1344, _u1343))) )).
% 27.68/27.93 cnf(matrix-1376, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), _u1345), _u1346)) | ( _u1346 = _u1345) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), skolem25(_u1346, _u1345, _u1344, _u1343)), _u1346)) )).
% 27.68/27.93 cnf(matrix-1377, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), _u1345), _u1346)) | ~hBOOL(hAPP(_u1343, _u1345)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1344), _u1345), skolem25(_u1346, _u1345, _u1344, _u1343))) )).
% 27.68/27.93 cnf(matrix-1378, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), _u1345), _u1346)) | ~hBOOL(hAPP(_u1343, _u1345)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1343, _u1344)), skolem25(_u1346, _u1345, _u1344, _u1343)), _u1346)) )).
% 27.68/27.93 cnf(matrix-1379, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), _u1350, _u1351, _u1352) | ( _u1352 = _u1350) | hBOOL(hAPP(_u1348, _u1350)) )).
% 27.68/27.93 cnf(matrix-1380, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), _u1350, _u1351, _u1352) | ( _u1352 = _u1350) | c_Natural_Oevaln(_u1349, _u1350, _u1351, skolem26(_u1352, _u1351, _u1350, _u1349, _u1348)) )).
% 27.68/27.93 cnf(matrix-1381, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), _u1350, _u1351, _u1352) | ( _u1352 = _u1350) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), skolem26(_u1352, _u1351, _u1350, _u1349, _u1348), _u1351, _u1352) )).
% 27.68/27.93 cnf(matrix-1382, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), _u1350, _u1351, _u1352) | ~hBOOL(hAPP(_u1348, _u1350)) | c_Natural_Oevaln(_u1349, _u1350, _u1351, skolem26(_u1352, _u1351, _u1350, _u1349, _u1348)) )).
% 27.68/27.93 cnf(matrix-1383, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), _u1350, _u1351, _u1352) | ~hBOOL(hAPP(_u1348, _u1350)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1348, _u1349), skolem26(_u1352, _u1351, _u1350, _u1349, _u1348), _u1351, _u1352) )).
% 27.68/27.93 cnf(matrix-1384, plain, ( ( c_Nitpick_Opair__box_Opair__box__size(_u1353, _u1354, _u1355, _u1356, c_Nitpick_Opair__box_OPairBox(_u1353, _u1354, _u1357, _u1358)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1355, _u1357)), hAPP(_u1356, _u1358))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1385, plain, ( ( c_Sum__Type_Osum_Osum__size(_u1359, _u1360, _u1361, _u1362, hAPP(c_Sum__Type_OInr(_u1360, _u1359), _u1363)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1362, _u1363)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1386, plain, ( ( c_Sum__Type_Osum_Osum__size(_u1364, _u1365, _u1366, _u1367, hAPP(c_Sum__Type_OInl(_u1364, _u1365), _u1368)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u1366, _u1368)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1387, plain, ( ( _u1370 = c_Option_Ooption_ONone(_u1371)) | ( _u1370 = hAPP(c_Option_Ooption_OSome(_u1371), skolem27(_u1371, _u1370))) )).
% 27.68/27.93 cnf(matrix-1388, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u1372))) )).
% 27.68/27.93 cnf(matrix-1389, plain, ( ( _u1374 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1374 = hAPP(c_Nat_OSuc, skolem28(_u1374))) )).
% 27.68/27.93 cnf(matrix-1390, plain, ( ~hBOOL(hAPP(_u1376, _u1377)) | hBOOL(hAPP(_u1376, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u1376, hAPP(c_Nat_OSuc, skolem29(_u1377, _u1376)))) )).
% 27.68/27.93 cnf(matrix-1391, plain, ( ~hBOOL(hAPP(_u1376, _u1377)) | hBOOL(hAPP(_u1376, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1376, skolem29(_u1377, _u1376))) )).
% 27.68/27.93 cnf(matrix-1392, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1378), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-1393, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1379), _u1380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1379)), hAPP(c_Nat_OSuc, _u1380))) )).
% 27.68/27.93 cnf(matrix-1394, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1381), hAPP(c_Nat_OSuc, _u1381))) )).
% 27.68/27.93 cnf(matrix-1395, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u1388, _u1390, _u1392, _u1394) != c_Nitpick_Opair__box_OPairBox(_u1388, _u1390, _u1396, _u1398)) | ( _u1392 = _u1396) )).
% 27.68/27.93 cnf(matrix-1396, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u1388, _u1390, _u1392, _u1394) != c_Nitpick_Opair__box_OPairBox(_u1388, _u1390, _u1396, _u1398)) | ( _u1394 = _u1398) )).
% 27.68/27.93 cnf(matrix-1397, plain, ( ( _u1393 != _u1397) | ( _u1395 != _u1399) | ( c_Nitpick_Opair__box_OPairBox(_u1389, _u1391, _u1393, _u1395) = c_Nitpick_Opair__box_OPairBox(_u1389, _u1391, _u1397, _u1399)) )).
% 27.68/27.93 cnf(matrix-1398, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1400), _u1400)) )).
% 27.68/27.93 cnf(matrix-1399, plain, ( ( _u1403 = _u1405) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1403), _u1405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1405), _u1403)) )).
% 27.68/27.93 cnf(matrix-1400, plain, ( ( _u1404 != _u1406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1404), _u1406)) )).
% 27.68/27.93 cnf(matrix-1401, plain, ( ( _u1404 != _u1406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1406), _u1404)) )).
% 27.68/27.93 cnf(matrix-1402, plain, ( ( _u1407 = _u1408) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1407), _u1408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1408), _u1407)) )).
% 27.68/27.93 cnf(matrix-1403, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1409), _u1409)) )).
% 27.68/27.93 cnf(matrix-1404, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1410), _u1411)) | ( _u1411 != _u1410) )).
% 27.68/27.93 cnf(matrix-1405, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1412), _u1413)) | ( _u1412 != _u1413) )).
% 27.68/27.93 cnf(matrix-1406, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1414), _u1415)) | ( _u1414 = _u1415) | hBOOL(hAPP(hAPP(_u1416, _u1415), _u1414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1415), _u1414)) )).
% 27.68/27.93 cnf(matrix-1407, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1418), _u1419)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1420), _u1419))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1417), _u1418), _u1420)) )).
% 27.68/27.93 cnf(matrix-1408, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1417), _u1418), _u1420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1418), _u1419)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1417), _u1420), _u1419))) )).
% 27.68/27.93 cnf(matrix-1409, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1422), _u1423)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1422), _u1424))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1421), _u1423), _u1424)) )).
% 27.68/27.93 cnf(matrix-1410, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1421), _u1423), _u1424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1422), _u1423)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1421), _u1422), _u1424))) )).
% 27.68/27.93 cnf(matrix-1411, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1425), _u1426), _u1427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1425), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1425), _u1426), _u1428)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1425), _u1427), _u1428))) )).
% 27.68/27.93 cnf(matrix-1412, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1429) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1429), _u1430), _u1431)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1429), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1429), _u1432), _u1430)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1429), _u1432), _u1431))) )).
% 27.68/27.93 cnf(matrix-1413, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1433), _u1434), _u1435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1433), _u1436), _u1437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1433), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1433), _u1434), _u1436)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1433), _u1435), _u1437))) )).
% 27.68/27.93 cnf(matrix-1414, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1438), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1438), _u1439), _u1440)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1438), _u1441), _u1440))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1438), _u1439), _u1441)) )).
% 27.68/27.93 cnf(matrix-1415, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1442), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1442), _u1443), _u1444)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1442), _u1443), _u1445))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1442), _u1444), _u1445)) )).
% 27.68/27.93 cnf(matrix-1416, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1446), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-1417, plain, ( ( _u1448 = 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)), _u1448)) )).
% 27.68/27.93 cnf(matrix-1418, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1449)) | ( _u1449 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1419, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1450), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-1420, plain, ( ( _u1452 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1451), _u1452)) )).
% 27.68/27.93 cnf(matrix-1421, plain, ( ( _u1453 = 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)), _u1453)) )).
% 27.68/27.93 cnf(matrix-1422, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1454)), hAPP(c_Nat_OSuc, _u1455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1454), _u1455)) )).
% 27.68/27.93 cnf(matrix-1423, 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)) )).
% 27.68/27.93 cnf(matrix-1424, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1458), hAPP(c_Nat_OSuc, _u1459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1458), _u1459)) | ( _u1458 = _u1459) )).
% 27.68/27.93 cnf(matrix-1425, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1460), _u1461)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1461), _u1462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1460)), _u1462)) )).
% 27.68/27.93 cnf(matrix-1426, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1463), _u1464)) | ( hAPP(c_Nat_OSuc, _u1463) = _u1464) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1463)), _u1464)) )).
% 27.68/27.93 cnf(matrix-1427, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1465), _u1466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1465), hAPP(c_Nat_OSuc, _u1466))) )).
% 27.68/27.93 cnf(matrix-1428, 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), _u1467), hAPP(c_Nat_OSuc, _u1468))) | ( _u1468 = _u1467) )).
% 27.68/27.93 cnf(matrix-1429, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1469), _u1470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1469), hAPP(c_Nat_OSuc, _u1470))) | ( _u1469 = _u1470) )).
% 27.68/27.93 cnf(matrix-1430, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1469), _u1470)) | ( _u1469 != _u1470) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1469), hAPP(c_Nat_OSuc, _u1470))) )).
% 27.68/27.93 cnf(matrix-1431, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1473)), hAPP(c_Nat_OSuc, _u1475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1473), _u1475)) )).
% 27.68/27.93 cnf(matrix-1432, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1474), _u1476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1474)), hAPP(c_Nat_OSuc, _u1476))) )).
% 27.68/27.93 cnf(matrix-1433, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1479), hAPP(c_Nat_OSuc, _u1481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1479), _u1481)) | ( _u1479 = _u1481) )).
% 27.68/27.93 cnf(matrix-1434, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1480), hAPP(c_Nat_OSuc, _u1482))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1480), _u1482)) )).
% 27.68/27.93 cnf(matrix-1435, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1480), hAPP(c_Nat_OSuc, _u1482))) | ( _u1480 != _u1482) )).
% 27.68/27.93 cnf(matrix-1436, 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), _u1487), hAPP(c_Nat_OSuc, _u1485))) )).
% 27.68/27.93 cnf(matrix-1437, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1488), hAPP(c_Nat_OSuc, _u1486))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1486), _u1488)) )).
% 27.68/27.93 cnf(matrix-1438, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1489), _u1490)), _u1491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1489), _u1491)) )).
% 27.68/27.93 cnf(matrix-1439, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1492), _u1493)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1494), _u1493) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1492), _u1495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1494), _u1495)) )).
% 27.68/27.93 cnf(matrix-1440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1496), _u1497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1498), _u1499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1496), _u1498)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1497), _u1499))) )).
% 27.68/27.93 cnf(matrix-1441, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1500), _u1501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1500), _u1502)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1501), _u1502))) )).
% 27.68/27.93 cnf(matrix-1442, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1503), _u1504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1503), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1505), _u1504))) )).
% 27.68/27.93 cnf(matrix-1443, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1506), _u1507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1506), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1507), _u1508))) )).
% 27.68/27.93 cnf(matrix-1444, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1514), _u1516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1512), _u1514)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1512), _u1516))) )).
% 27.68/27.93 cnf(matrix-1445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1515), _u1517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1513), _u1515)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1513), _u1517))) )).
% 27.68/27.93 cnf(matrix-1446, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1518), _u1519)), _u1519)) )).
% 27.68/27.93 cnf(matrix-1447, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1520), _u1521)), _u1520)) )).
% 27.68/27.93 cnf(matrix-1448, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1522), _u1523), c_Groups_Ozero__class_Ozero(_u1522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1522), _u1524), c_Groups_Ozero__class_Ozero(_u1522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1522), _u1523), _u1524)), c_Groups_Ozero__class_Ozero(_u1522))) )).
% 27.68/27.93 cnf(matrix-1449, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1525), c_Groups_Ozero__class_Ozero(_u1525)), _u1526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1525), c_Groups_Ozero__class_Ozero(_u1525)), _u1527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1525), c_Groups_Ozero__class_Ozero(_u1525)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1525), _u1526), _u1527))) )).
% 27.68/27.93 cnf(matrix-1450, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1528), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1528), _u1529), _u1529)), c_Groups_Ozero__class_Ozero(_u1528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1528), _u1529), c_Groups_Ozero__class_Ozero(_u1528))) )).
% 27.68/27.93 cnf(matrix-1451, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1528), _u1529), c_Groups_Ozero__class_Ozero(_u1528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1528), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1528), _u1529), _u1529)), c_Groups_Ozero__class_Ozero(_u1528))) )).
% 27.68/27.93 cnf(matrix-1452, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1530) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), c_Groups_Ozero__class_Ozero(_u1530)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1530), _u1531), _u1531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), c_Groups_Ozero__class_Ozero(_u1530)), _u1531)) )).
% 27.68/27.93 cnf(matrix-1453, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1530) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), c_Groups_Ozero__class_Ozero(_u1530)), _u1531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), c_Groups_Ozero__class_Ozero(_u1530)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1530), _u1531), _u1531))) )).
% 27.68/27.93 cnf(matrix-1454, plain, ( ~class_Rings_Olinordered__idom(_u1532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1532), _u1533), _u1533)), c_Groups_Ozero__class_Ozero(_u1532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), _u1533), c_Groups_Ozero__class_Ozero(_u1532))) )).
% 27.68/27.93 cnf(matrix-1455, plain, ( ~class_Rings_Olinordered__idom(_u1532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), _u1533), c_Groups_Ozero__class_Ozero(_u1532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1532), _u1533), _u1533)), c_Groups_Ozero__class_Ozero(_u1532))) )).
% 27.68/27.93 cnf(matrix-1456, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1537)) | ( _u1537 = hAPP(c_Nat_OSuc, skolem30(_u1537))) )).
% 27.68/27.93 cnf(matrix-1457, plain, ( ( _u1538 != hAPP(c_Nat_OSuc, _u1535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1538)) )).
% 27.68/27.93 cnf(matrix-1458, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1540), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u1540 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1459, plain, ( ( _u1541 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1541), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-1460, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1546), hAPP(c_Nat_OSuc, _u1548))) | ( _u1546 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1546 = hAPP(c_Nat_OSuc, skolem31(_u1548, _u1546))) )).
% 27.68/27.93 cnf(matrix-1461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1546), hAPP(c_Nat_OSuc, _u1548))) | ( _u1546 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem31(_u1548, _u1546)), _u1548)) )).
% 27.68/27.93 cnf(matrix-1462, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1547), hAPP(c_Nat_OSuc, _u1549))) | ( _u1547 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1463, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1547), hAPP(c_Nat_OSuc, _u1549))) | ( _u1547 != hAPP(c_Nat_OSuc, _u1543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1543), _u1549)) )).
% 27.68/27.93 cnf(matrix-1464, 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), _u1552), _u1554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1554)) )).
% 27.68/27.93 cnf(matrix-1465, 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), _u1553), _u1555))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1553)) )).
% 27.68/27.93 cnf(matrix-1466, 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), _u1553), _u1555))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1555)) )).
% 27.68/27.93 cnf(matrix-1467, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1556), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1556), _u1557)))) )).
% 27.68/27.93 cnf(matrix-1468, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1558), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1559), _u1558)))) )).
% 27.68/27.93 cnf(matrix-1469, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1564), _u1566)) | ( _u1566 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1564), skolem32(_u1566, _u1564)))) )).
% 27.68/27.93 cnf(matrix-1470, plain, ( ( _u1567 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1565), _u1561))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1565), _u1567)) )).
% 27.68/27.93 cnf(matrix-1471, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u1568, _u1569)), c_Nitpick_Opair__box_OPairBox(_u1568, _u1569, _u1570, _u1571)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1472, plain, ( ( c_Nitpick_Opair__box_Opair__box__case(_u1572, _u1573, _u1574, _u1575, c_Nitpick_Opair__box_OPairBox(_u1572, _u1573, _u1576, _u1577)) = hAPP(hAPP(_u1575, _u1576), _u1577)) )).
% 27.68/27.93 cnf(matrix-1473, plain, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u1578, _u1579, _u1580, _u1581, c_Nitpick_Opair__box_OPairBox(_u1578, _u1579, _u1582, _u1583)) = hAPP(hAPP(_u1581, _u1582), _u1583)) )).
% 27.68/27.93 cnf(matrix-1474, plain, ( ~class_Rings_Olinordered__semidom(_u1584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1584), c_Groups_Ozero__class_Ozero(_u1584)), _u1585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1584), _u1586), _u1587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1584), _u1586), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1584), _u1585), _u1587))) )).
% 27.68/27.93 cnf(matrix-1475, plain, ( ( hAPP(c_Sum__Type_OInr(_u1588, _u1589), _u1590) != hAPP(c_Sum__Type_OInl(_u1589, _u1588), _u1591)) )).
% 27.68/27.93 cnf(matrix-1476, plain, ( ( hAPP(c_Sum__Type_OInr(_u1592, _u1593), _u1594) != hAPP(c_Sum__Type_OInl(_u1593, _u1592), _u1595)) )).
% 27.68/27.93 cnf(matrix-1477, plain, ( ( hAPP(c_Sum__Type_OInl(_u1596, _u1597), _u1598) != hAPP(c_Sum__Type_OInr(_u1597, _u1596), _u1599)) )).
% 27.68/27.93 cnf(matrix-1478, plain, ( ( hAPP(c_Sum__Type_OInl(_u1600, _u1601), _u1602) != hAPP(c_Sum__Type_OInr(_u1601, _u1600), _u1603)) )).
% 27.68/27.93 cnf(matrix-1479, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_sum(_u1604, _u1605)), hAPP(c_Sum__Type_OInl(_u1604, _u1605), _u1606)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1480, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_sum(_u1607, _u1608)), hAPP(c_Sum__Type_OInr(_u1608, _u1607), _u1609)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1481, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1610), _u1611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1610), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1612), _u1611))) )).
% 27.68/27.93 cnf(matrix-1482, plain, ( ~class_Rings_Olinordered__idom(_u1613) | ( _u1614 = _u1615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1613), _u1614), _u1615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1613), _u1615), _u1614)) )).
% 27.68/27.93 cnf(matrix-1483, plain, ( ( _u1624 = _u1626) | ( hAPP(c_Sum__Type_OInr(_u1620, _u1622), _u1624) != hAPP(c_Sum__Type_OInr(_u1620, _u1622), _u1626)) )).
% 27.68/27.93 cnf(matrix-1484, plain, ( ( _u1625 != _u1627) | ( hAPP(c_Sum__Type_OInr(_u1621, _u1623), _u1625) = hAPP(c_Sum__Type_OInr(_u1621, _u1623), _u1627)) )).
% 27.68/27.93 cnf(matrix-1485, plain, ( ( _u1630 = _u1631) | ( hAPP(c_Sum__Type_OInr(_u1628, _u1629), _u1630) != hAPP(c_Sum__Type_OInr(_u1628, _u1629), _u1631)) )).
% 27.68/27.93 cnf(matrix-1486, plain, ( ( _u1640 = _u1642) | ( hAPP(c_Sum__Type_OInl(_u1636, _u1638), _u1640) != hAPP(c_Sum__Type_OInl(_u1636, _u1638), _u1642)) )).
% 27.68/27.93 cnf(matrix-1487, plain, ( ( _u1641 != _u1643) | ( hAPP(c_Sum__Type_OInl(_u1637, _u1639), _u1641) = hAPP(c_Sum__Type_OInl(_u1637, _u1639), _u1643)) )).
% 27.68/27.93 cnf(matrix-1488, plain, ( ( _u1646 = _u1647) | ( hAPP(c_Sum__Type_OInl(_u1644, _u1645), _u1646) != hAPP(c_Sum__Type_OInl(_u1644, _u1645), _u1647)) )).
% 27.68/27.93 cnf(matrix-1489, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1648), _u1649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1648), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1649), _u1650))) )).
% 27.68/27.93 cnf(matrix-1490, plain, ( ( c_Sum__Type_OProjl(_u1651, _u1652, hAPP(c_Sum__Type_OInl(_u1651, _u1652), _u1653)) = _u1653) )).
% 27.68/27.93 cnf(matrix-1491, plain, ( ( c_Sum__Type_OProjr(_u1654, _u1655, hAPP(c_Sum__Type_OInr(_u1655, _u1654), _u1656)) = _u1656) )).
% 27.68/27.93 cnf(matrix-1492, plain, ( ( c_Sum__Type_Osum_Osum__rec(_u1657, _u1658, _u1659, _u1660, _u1661, hAPP(c_Sum__Type_OInl(_u1657, _u1659), _u1662)) = hAPP(_u1660, _u1662)) )).
% 27.68/27.93 cnf(matrix-1493, plain, ( ( c_Sum__Type_Osum_Osum__rec(_u1663, _u1664, _u1665, _u1666, _u1667, hAPP(c_Sum__Type_OInr(_u1665, _u1663), _u1668)) = hAPP(_u1667, _u1668)) )).
% 27.68/27.93 cnf(matrix-1494, plain, ( ( hAPP(c_Sum__Type_OSuml(_u1669, _u1670, _u1671, _u1672), hAPP(c_Sum__Type_OInl(_u1669, _u1671), _u1673)) = hAPP(_u1672, _u1673)) )).
% 27.68/27.93 cnf(matrix-1495, plain, ( ( hAPP(c_Sum__Type_OSumr(_u1674, _u1675, _u1676, _u1677), hAPP(c_Sum__Type_OInr(_u1674, _u1676), _u1678)) = hAPP(_u1677, _u1678)) )).
% 27.68/27.93 cnf(matrix-1496, plain, ( ~class_Rings_Olinordered__semidom(_u1679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1679), c_Groups_Ozero__class_Ozero(_u1679)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1679), _u1680))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1680)) )).
% 27.68/27.93 cnf(matrix-1497, plain, ( ~class_Rings_Olinordered__semidom(_u1679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1680)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1679), c_Groups_Ozero__class_Ozero(_u1679)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1679), _u1680))) )).
% 27.68/27.93 cnf(matrix-1498, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1682), _u1683)) | ( _u1683 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1682), skolem33(_u1683, _u1682)))) )).
% 27.68/27.93 cnf(matrix-1499, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1685), _u1686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem34(_u1686, _u1685))) )).
% 27.68/27.93 cnf(matrix-1500, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1685), _u1686)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1685), skolem34(_u1686, _u1685)) = _u1686) )).
% 27.68/27.93 cnf(matrix-1501, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1688)) | ( _u1688 = hAPP(c_Nat_OSuc, skolem35(_u1688))) )).
% 27.68/27.93 cnf(matrix-1502, plain, ( ~class_Nat_Osemiring__char__0(_u1689) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1689), _u1690) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1689), _u1691)) | ( _u1690 = _u1691) )).
% 27.68/27.93 cnf(matrix-1503, plain, ( ~class_Nat_Osemiring__char__0(_u1689) | ( _u1690 != _u1691) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1689), _u1690) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1689), _u1691)) )).
% 27.68/27.93 cnf(matrix-1504, plain, ( ( _u1695 = _u1696) | ( c_Sum__Type_OSumr(_u1692, _u1693, _u1694, _u1695) != c_Sum__Type_OSumr(_u1692, _u1693, _u1694, _u1696)) )).
% 27.68/27.93 cnf(matrix-1505, plain, ( ( _u1700 = _u1701) | ( c_Sum__Type_OSuml(_u1697, _u1698, _u1699, _u1700) != c_Sum__Type_OSuml(_u1697, _u1698, _u1699, _u1701)) )).
% 27.68/27.93 cnf(matrix-1506, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1703) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u1703 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1507, plain, ( ( _u1704 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1704) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-1508, 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)) )).
% 27.68/27.93 cnf(matrix-1509, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1709), _u1711)) | ( _u1711 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1709), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem36(_u1711, _u1709))))) )).
% 27.68/27.93 cnf(matrix-1510, plain, ( ( _u1712 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1710), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1706)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1710), _u1712)) )).
% 27.68/27.93 cnf(matrix-1511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1715)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1715), _u1717)) )).
% 27.68/27.93 cnf(matrix-1512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1716), _u1718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1716)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1718))) )).
% 27.68/27.93 cnf(matrix-1513, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1719)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1720)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1719), _u1720))) )).
% 27.68/27.93 cnf(matrix-1514, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1721)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1722)), _u1723)) = 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), _u1721), _u1722))), _u1723)) )).
% 27.68/27.93 cnf(matrix-1515, 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), _u1725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1725)) )).
% 27.68/27.93 cnf(matrix-1516, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1726)) | 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), _u1726))) )).
% 27.68/27.93 cnf(matrix-1517, plain, ( ~class_Rings_Olinordered__semidom(_u1727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1727), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1727), _u1728)), c_Groups_Ozero__class_Ozero(_u1727))) )).
% 27.68/27.93 cnf(matrix-1518, plain, ( ~class_Rings_Osemiring__1(_u1729) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1729), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u1729)) )).
% 27.68/27.93 cnf(matrix-1519, plain, ( ~class_Rings_Olinordered__semidom(_u1730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1730), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1730), _u1731)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1730), _u1732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1731), _u1732)) )).
% 27.68/27.93 cnf(matrix-1520, plain, ( ~class_Rings_Olinordered__semidom(_u1730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1731), _u1732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1730), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1730), _u1731)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1730), _u1732))) )).
% 27.68/27.93 cnf(matrix-1521, plain, ( ~class_Rings_Olinordered__semidom(_u1733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1734), _u1735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1733), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1733), _u1734)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1733), _u1735))) )).
% 27.68/27.93 cnf(matrix-1522, plain, ( ~class_Rings_Olinordered__semidom(_u1736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1736), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1736), _u1737)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1736), _u1738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1737), _u1738)) )).
% 27.68/27.93 cnf(matrix-1523, plain, ( ~class_Rings_Osemiring__1(_u1739) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1739), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1740), _u1741)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1739), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1739), _u1740)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1739), _u1741))) )).
% 27.68/27.93 cnf(matrix-1524, plain, ( ~class_Orderings_Oorder(_u1743) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1743), hAPP(_u1744, skolem37(_u1746, _u1745, _u1744, _u1743))), hAPP(_u1744, hAPP(c_Nat_OSuc, skolem37(_u1746, _u1745, _u1744, _u1743))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1745), _u1746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1743), hAPP(_u1744, _u1745)), hAPP(_u1744, _u1746))) )).
% 27.68/27.93 cnf(matrix-1525, plain, ( ~class_Orderings_Oorder(_u1748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), hAPP(_u1749, skolem38(_u1751, _u1750, _u1749, _u1748))), hAPP(_u1749, hAPP(c_Nat_OSuc, skolem38(_u1751, _u1750, _u1749, _u1748))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), hAPP(_u1749, _u1750)), hAPP(_u1749, _u1751))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1750), _u1751)) )).
% 27.68/27.93 cnf(matrix-1526, plain, ( ~class_Orderings_Oorder(_u1748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), hAPP(_u1749, skolem38(_u1751, _u1750, _u1749, _u1748))), hAPP(_u1749, hAPP(c_Nat_OSuc, skolem38(_u1751, _u1750, _u1749, _u1748))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1750), _u1751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), hAPP(_u1749, _u1750)), hAPP(_u1749, _u1751))) )).
% 27.68/27.93 cnf(matrix-1527, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1752)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1753)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1752), _u1753))) )).
% 27.68/27.93 cnf(matrix-1528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1756)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1758))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1756), _u1758)) )).
% 27.68/27.93 cnf(matrix-1529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1757), _u1759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1757)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1759))) )).
% 27.68/27.93 cnf(matrix-1530, 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))) )).
% 27.68/27.93 cnf(matrix-1531, plain, ( ~class_Orderings_Olinorder(_u1760) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1760), _u1761), _u1762)) | ( _u1761 = _u1762) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1760), _u1762), _u1761)) )).
% 27.68/27.93 cnf(matrix-1532, plain, ( ~class_Orderings_Opreorder(_u1763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1763), _u1764), _u1765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1763), _u1765), _u1764)) )).
% 27.68/27.93 cnf(matrix-1533, plain, ( ~class_Orderings_Oorder(_u1766) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1766), _u1767), _u1768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1766), _u1769), _u1767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1766), _u1769), _u1768)) )).
% 27.68/27.93 cnf(matrix-1534, plain, ( ~class_Orderings_Opreorder(_u1770) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1770), _u1771), _u1772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1770), _u1772), _u1773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1770), _u1771), _u1773)) )).
% 27.68/27.93 cnf(matrix-1535, plain, ( ~class_Orderings_Oorder(_u1774) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1774), _u1775), _u1776)) | ( _u1775 != _u1777) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1774), _u1777), _u1776)) )).
% 27.68/27.93 cnf(matrix-1536, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1778)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-1537, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1781) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1783)) | ( _u1781 = _u1783) )).
% 27.68/27.93 cnf(matrix-1538, plain, ( ( _u1782 != _u1784) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1782) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1784)) )).
% 27.68/27.93 cnf(matrix-1539, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1787) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1789)) | ( _u1787 = _u1789) )).
% 27.68/27.93 cnf(matrix-1540, plain, ( ( _u1788 != _u1790) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1788) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1790)) )).
% 27.68/27.93 cnf(matrix-1541, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1791), _u1792) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1792), _u1791)) )).
% 27.68/27.93 cnf(matrix-1542, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1793), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1794), _u1795)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1794), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1793), _u1795))) )).
% 27.68/27.93 cnf(matrix-1543, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1796), _u1797)), _u1798) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1796), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1797), _u1798))) )).
% 27.68/27.93 cnf(matrix-1544, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1799), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u1799) )).
% 27.68/27.93 cnf(matrix-1545, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1800) = _u1800) )).
% 27.68/27.93 cnf(matrix-1546, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1801), _u1802)) | ( _u1801 = _u1802) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1802), _u1801)) )).
% 27.68/27.93 cnf(matrix-1547, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1803), _u1804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1803), _u1805)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1804), _u1805))) )).
% 27.68/27.93 cnf(matrix-1548, plain, ( ~class_Orderings_Opreorder(_u1806) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1806), _u1807), _u1807)) )).
% 27.68/27.93 cnf(matrix-1549, plain, ( ~class_Orderings_Olinorder(_u1808) | ( _u1809 = _u1810) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1808), _u1809), _u1810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1808), _u1810), _u1809)) )).
% 27.68/27.93 cnf(matrix-1550, plain, ( ~class_Orderings_Olinorder(_u1808) | ( _u1809 != _u1810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1808), _u1809), _u1810)) )).
% 27.68/27.93 cnf(matrix-1551, plain, ( ~class_Orderings_Olinorder(_u1808) | ( _u1809 != _u1810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1808), _u1810), _u1809)) )).
% 27.68/27.93 cnf(matrix-1552, plain, ( ~class_Orderings_Olinorder(_u1811) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1812), _u1813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1813), _u1812)) | ( _u1812 = _u1813) )).
% 27.68/27.93 cnf(matrix-1553, plain, ( ~class_Orderings_Olinorder(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1812), _u1813)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1813), _u1812)) )).
% 27.68/27.93 cnf(matrix-1554, plain, ( ~class_Orderings_Olinorder(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1812), _u1813)) | ( _u1812 != _u1813) )).
% 27.68/27.93 cnf(matrix-1555, plain, ( ~class_Orderings_Olinorder(_u1814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1814), _u1815), _u1816)) | ( _u1815 = _u1816) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1814), _u1816), _u1815)) )).
% 27.68/27.93 cnf(matrix-1556, plain, ( ~class_Orderings_Olinorder(_u1817) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1817), _u1818), _u1819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1817), _u1819), _u1818)) | ( _u1819 = _u1818) )).
% 27.68/27.93 cnf(matrix-1557, plain, ( ~class_Orderings_Olinorder(_u1817) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1817), _u1818), _u1819)) | ( _u1819 != _u1818) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1817), _u1819), _u1818)) )).
% 27.68/27.93 cnf(matrix-1558, plain, ( ~class_Orderings_Olinorder(_u1820) | ( _u1821 = _u1822) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1820), _u1821), _u1822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1820), _u1822), _u1821)) )).
% 27.68/27.93 cnf(matrix-1559, plain, ( ~class_Orderings_Oorder(_u1823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1823), _u1824), _u1825)) | ( _u1824 != _u1825) )).
% 27.68/27.93 cnf(matrix-1560, plain, ( ~class_Orderings_Opreorder(_u1826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1826), _u1827), _u1828)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1826), _u1828), _u1827)) )).
% 27.68/27.93 cnf(matrix-1561, plain, ( ~class_Orderings_Opreorder(_u1829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1829), _u1830), _u1831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1829), _u1831), _u1830)) )).
% 27.68/27.93 cnf(matrix-1562, plain, ( ~class_Orderings_Oorder(_u1832) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1832), _u1833), _u1834)) | ( _u1833 != _u1834) )).
% 27.68/27.93 cnf(matrix-1563, plain, ( ~class_Orderings_Oorder(_u1835) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1835), _u1836), _u1837)) | ( _u1837 != _u1836) )).
% 27.68/27.93 cnf(matrix-1564, plain, ( ~class_Orderings_Opreorder(_u1838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1838), _u1839), _u1840)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1838), _u1840), _u1839)) )).
% 27.68/27.93 cnf(matrix-1565, plain, ( ~class_Orderings_Oorder(_u1841) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), _u1842), _u1843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), _u1843), _u1842)) )).
% 27.68/27.93 cnf(matrix-1566, plain, ( ~class_Orderings_Oord(_u1844) | ( _u1845 != _u1846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1844), _u1846), _u1847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1844), _u1845), _u1847)) )).
% 27.68/27.93 cnf(matrix-1567, plain, ( ~class_Orderings_Oorder(_u1848) | ( _u1849 != _u1850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1848), _u1851), _u1850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1848), _u1851), _u1849)) )).
% 27.68/27.93 cnf(matrix-1568, plain, ( ~class_Orderings_Oord(_u1852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1852), _u1853), _u1854)) | ( _u1854 != _u1855) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1852), _u1853), _u1855)) )).
% 27.68/27.93 cnf(matrix-1569, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem39(_u1857))) )).
% 27.68/27.93 cnf(matrix-1570, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1857)) | ( _u1857 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem39(_u1857))) )).
% 27.68/27.93 cnf(matrix-1571, plain, ( ~class_Rings_Olinordered__idom(_u1858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1858), c_Groups_Ozero__class_Ozero(_u1858)), hAPP(c_Int_Oring__1__class_Oof__int(_u1858), _u1859))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1859)) )).
% 27.68/27.93 cnf(matrix-1572, plain, ( ~class_Rings_Olinordered__idom(_u1858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1858), c_Groups_Ozero__class_Ozero(_u1858)), hAPP(c_Int_Oring__1__class_Oof__int(_u1858), _u1859))) )).
% 27.68/27.93 cnf(matrix-1573, plain, ( ~class_Rings_Olinordered__idom(_u1860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1860), hAPP(c_Int_Oring__1__class_Oof__int(_u1860), _u1861)), c_Groups_Ozero__class_Ozero(_u1860))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1861), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-1574, plain, ( ~class_Rings_Olinordered__idom(_u1860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1861), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1860), hAPP(c_Int_Oring__1__class_Oof__int(_u1860), _u1861)), c_Groups_Ozero__class_Ozero(_u1860))) )).
% 27.68/27.93 cnf(matrix-1575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1862), _u1863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1864)) | 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), _u1864)), _u1862)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1864)), _u1863))) )).
% 27.68/27.93 cnf(matrix-1576, 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, _u1865)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-1577, plain, ( ~hBOOL(hAPP(_u1870, hAPP(c_Int_Onat, _u1872))) | ( _u1872 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1866)) | hBOOL(hAPP(_u1870, _u1866)) )).
% 27.68/27.93 cnf(matrix-1578, plain, ( ~hBOOL(hAPP(_u1870, hAPP(c_Int_Onat, _u1872))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1872), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u1870, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-1579, plain, ( hBOOL(hAPP(_u1871, hAPP(c_Int_Onat, _u1873))) | ( _u1873 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem40(_u1873, _u1871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1873), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-1580, plain, ( hBOOL(hAPP(_u1871, hAPP(c_Int_Onat, _u1873))) | ( _u1873 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem40(_u1873, _u1871))) | ~hBOOL(hAPP(_u1871, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-1581, plain, ( hBOOL(hAPP(_u1871, hAPP(c_Int_Onat, _u1873))) | ~hBOOL(hAPP(_u1871, skolem40(_u1873, _u1871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1873), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-1582, plain, ( hBOOL(hAPP(_u1871, hAPP(c_Int_Onat, _u1873))) | ~hBOOL(hAPP(_u1871, skolem40(_u1873, _u1871))) | ~hBOOL(hAPP(_u1871, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-1583, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u1875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1875)) )).
% 27.68/27.93 cnf(matrix-1584, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u1876))) )).
% 27.68/27.93 cnf(matrix-1585, 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, _u1877)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1878))) )).
% 27.68/27.93 cnf(matrix-1586, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1879)) = 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), _u1879))) )).
% 27.68/27.93 cnf(matrix-1587, 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)), _u1881)), _u1881)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1881), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-1588, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1882), 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)), _u1882)), _u1882)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-1589, plain, ( ~class_Rings_Ocomm__semiring__1(_u1883) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1883), _u1884), _u1884) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1883), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1883), c_Groups_Oone__class_Oone(_u1883)), c_Groups_Oone__class_Oone(_u1883))), _u1884)) )).
% 27.68/27.93 cnf(matrix-1590, plain, ( ~class_Rings_Ocomm__semiring__1(_u1885) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1885), _u1886), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1885), _u1887), _u1886)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1885), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1885), _u1887), c_Groups_Oone__class_Oone(_u1885))), _u1886)) )).
% 27.68/27.93 cnf(matrix-1591, plain, ( ~class_Rings_Ocomm__semiring__1(_u1888) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1888), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), _u1889), _u1890)), _u1890) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1888), _u1889), c_Groups_Oone__class_Oone(_u1888))), _u1890)) )).
% 27.68/27.93 cnf(matrix-1592, plain, ( ~class_Rings_Olinordered__semidom(_u1891) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1891), c_Groups_Oone__class_Oone(_u1891)), _u1892)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1891), c_Groups_Oone__class_Oone(_u1891)), _u1893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1891), c_Groups_Oone__class_Oone(_u1891)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1891), _u1892), _u1893))) )).
% 27.68/27.93 cnf(matrix-1593, plain, ( ~class_Rings_Oring(_u1894) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1894), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1894), _u1895), _u1896)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1894), _u1895), hAPP(c_Groups_Ouminus__class_Ouminus(_u1894), _u1896))) )).
% 27.68/27.93 cnf(matrix-1594, plain, ( ~class_Rings_Oring(_u1897) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1897), _u1898), _u1899)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1897), hAPP(c_Groups_Ouminus__class_Ouminus(_u1897), _u1898)), _u1899)) )).
% 27.68/27.93 cnf(matrix-1595, plain, ( ~class_Rings_Oring(_u1900) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1900), hAPP(c_Groups_Ouminus__class_Ouminus(_u1900), _u1901)), _u1902) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1900), _u1901), hAPP(c_Groups_Ouminus__class_Ouminus(_u1900), _u1902))) )).
% 27.68/27.93 cnf(matrix-1596, plain, ( ~class_Rings_Oring(_u1903) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1903), hAPP(c_Groups_Ouminus__class_Ouminus(_u1903), _u1904)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1903), _u1905)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1903), _u1904), _u1905)) )).
% 27.68/27.93 cnf(matrix-1597, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1906) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1906), _u1907), _u1907) != c_Groups_Oone__class_Oone(_u1906)) | ( _u1907 = c_Groups_Oone__class_Oone(_u1906)) | ( _u1907 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1906), c_Groups_Oone__class_Oone(_u1906))) )).
% 27.68/27.93 cnf(matrix-1598, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1906) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1906), _u1907), _u1907) = c_Groups_Oone__class_Oone(_u1906)) | ( _u1907 != c_Groups_Oone__class_Oone(_u1906)) )).
% 27.68/27.93 cnf(matrix-1599, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1906) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1906), _u1907), _u1907) = c_Groups_Oone__class_Oone(_u1906)) | ( _u1907 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1906), c_Groups_Oone__class_Oone(_u1906))) )).
% 27.68/27.93 cnf(matrix-1600, plain, ( ~class_Rings_Oidom(_u1908) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1908), _u1909), _u1909) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1908), _u1910), _u1910)) | ( _u1909 = _u1910) | ( _u1909 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1908), _u1910)) )).
% 27.68/27.93 cnf(matrix-1601, plain, ( ~class_Rings_Oidom(_u1908) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1908), _u1909), _u1909) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1908), _u1910), _u1910)) | ( _u1909 != _u1910) )).
% 27.68/27.93 cnf(matrix-1602, plain, ( ~class_Rings_Oidom(_u1908) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1908), _u1909), _u1909) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1908), _u1910), _u1910)) | ( _u1909 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1908), _u1910)) )).
% 27.68/27.93 cnf(matrix-1603, plain, ( ~class_Rings_Oring__1(_u1911) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1911), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u1911)) )).
% 27.68/27.93 cnf(matrix-1604, plain, ( ~class_Rings_Ocomm__ring__1(_u1912) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1912), _u1913) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1912), hAPP(c_Groups_Ouminus__class_Ouminus(_u1912), c_Groups_Oone__class_Oone(_u1912))), _u1913)) )).
% 27.68/27.93 cnf(matrix-1605, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1914)) = _u1914) )).
% 27.68/27.93 cnf(matrix-1606, plain, ( ~class_Rings_Oring__1(_u1915) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1915), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1916)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1915), hAPP(c_Int_Oring__1__class_Oof__int(_u1915), _u1916))) )).
% 27.68/27.93 cnf(matrix-1607, 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))) )).
% 27.68/27.93 cnf(matrix-1608, plain, ( ~class_Rings_Ocomm__semiring__1(_u1920) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1920), c_Groups_Oone__class_Oone(_u1920)), _u1921) = _u1921) )).
% 27.68/27.93 cnf(matrix-1609, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1922) = _u1922) )).
% 27.68/27.93 cnf(matrix-1610, plain, ( ~class_Rings_Ocomm__semiring__1(_u1923) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1923), _u1924), c_Groups_Oone__class_Oone(_u1923)) = _u1924) )).
% 27.68/27.93 cnf(matrix-1611, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1925), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u1925) )).
% 27.68/27.93 cnf(matrix-1612, plain, ( ~class_Rings_Ocomm__semiring__1(_u1926) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), _u1927), _u1928) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), _u1928), _u1927)) )).
% 27.68/27.93 cnf(matrix-1613, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1929), _u1930) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1930), _u1929)) )).
% 27.68/27.93 cnf(matrix-1614, plain, ( ~class_Rings_Ocomm__semiring__1(_u1931) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1931), _u1932), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1931), _u1933), _u1934)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1931), _u1933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1931), _u1932), _u1934))) )).
% 27.68/27.93 cnf(matrix-1615, plain, ( ~class_Rings_Ocomm__semiring__1(_u1935) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1935), _u1936), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1935), _u1937), _u1938)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1935), _u1936), _u1937)), _u1938)) )).
% 27.68/27.93 cnf(matrix-1616, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1939)), _u1940) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1939), _u1940))) )).
% 27.68/27.93 cnf(matrix-1617, plain, ( ~class_Int_Oring__char__0(_u1941) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1941), _u1942) != hAPP(c_Int_Oring__1__class_Oof__int(_u1941), _u1943)) | ( _u1942 = _u1943) )).
% 27.68/27.93 cnf(matrix-1618, plain, ( ~class_Int_Oring__char__0(_u1941) | ( _u1942 != _u1943) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1941), _u1942) = hAPP(c_Int_Oring__1__class_Oof__int(_u1941), _u1943)) )).
% 27.68/27.93 cnf(matrix-1619, plain, ( ~class_Rings_Ocomm__semiring__1(_u1944) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1944), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1944), _u1945), _u1946)), _u1947) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1944), _u1945), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1944), _u1946), _u1947))) )).
% 27.68/27.93 cnf(matrix-1620, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1948), _u1949)), _u1950) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1948), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1949), _u1950))) )).
% 27.68/27.93 cnf(matrix-1621, plain, ( ~class_Rings_Ocomm__semiring__1(_u1951) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1951), _u1952), _u1953)), _u1954) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1951), _u1952), _u1954)), _u1953)) )).
% 27.68/27.93 cnf(matrix-1622, plain, ( ~class_Rings_Ocomm__semiring__1(_u1955) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1956), _u1957)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1958), _u1959)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1955), _u1958), _u1959)))) )).
% 27.68/27.93 cnf(matrix-1623, plain, ( ~class_Rings_Ocomm__semiring__1(_u1960) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1961), _u1962)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1963), _u1964)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1960), _u1961), _u1962)), _u1964))) )).
% 27.68/27.93 cnf(matrix-1624, plain, ( ~class_Rings_Ocomm__semiring__1(_u1965) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1966), _u1967)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1968), _u1969)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1966), _u1968)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1965), _u1967), _u1969))) )).
% 27.68/27.93 cnf(matrix-1625, plain, ( ~class_Groups_Ogroup__add(_u1970) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1970), hAPP(c_Groups_Ouminus__class_Ouminus(_u1970), _u1971)) = _u1971) )).
% 27.68/27.93 cnf(matrix-1626, plain, ( ~class_Groups_Omonoid__mult(_u1972) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1972), c_Groups_Oone__class_Oone(_u1972)), _u1973) = _u1973) )).
% 27.68/27.93 cnf(matrix-1627, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1974) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1974), c_Groups_Oone__class_Oone(_u1974)), _u1975) = _u1975) )).
% 27.68/27.93 cnf(matrix-1628, plain, ( ~class_Groups_Oone(_u1976) | ( c_Groups_Oone__class_Oone(_u1976) != _u1977) | ( _u1977 = c_Groups_Oone__class_Oone(_u1976)) )).
% 27.68/27.93 cnf(matrix-1629, plain, ( ~class_Groups_Oone(_u1976) | ( _u1977 != c_Groups_Oone__class_Oone(_u1976)) | ( c_Groups_Oone__class_Oone(_u1976) = _u1977) )).
% 27.68/27.93 cnf(matrix-1630, plain, ( ~class_Groups_Omonoid__mult(_u1978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1978), _u1979), c_Groups_Oone__class_Oone(_u1978)) = _u1979) )).
% 27.68/27.93 cnf(matrix-1631, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1980) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1980), _u1981), c_Groups_Oone__class_Oone(_u1980)) = _u1981) )).
% 27.68/27.93 cnf(matrix-1632, plain, ( ~class_Groups_Ogroup__add(_u1982) | ( _u1983 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1982), _u1984)) | ( _u1984 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1982), _u1983)) )).
% 27.68/27.93 cnf(matrix-1633, plain, ( ~class_Groups_Ogroup__add(_u1982) | ( _u1984 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1982), _u1983)) | ( _u1983 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1982), _u1984)) )).
% 27.68/27.93 cnf(matrix-1634, plain, ( ~class_Groups_Ogroup__add(_u1985) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1985), _u1986) != _u1987) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1985), _u1987) = _u1986) )).
% 27.68/27.93 cnf(matrix-1635, plain, ( ~class_Groups_Ogroup__add(_u1985) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1985), _u1987) != _u1986) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1985), _u1986) = _u1987) )).
% 27.68/27.93 cnf(matrix-1636, plain, ( ~class_Groups_Ogroup__add(_u1988) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1988), _u1989) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1988), _u1990)) | ( _u1989 = _u1990) )).
% 27.68/27.93 cnf(matrix-1637, plain, ( ~class_Groups_Ogroup__add(_u1988) | ( _u1989 != _u1990) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1988), _u1989) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1988), _u1990)) )).
% 27.68/27.93 cnf(matrix-1638, plain, ( ~class_Groups_Oab__semigroup__mult(_u1991) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), _u1993)), _u1994) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1993), _u1994))) )).
% 27.68/27.93 cnf(matrix-1639, plain, ( ~class_Rings_Osemiring__1(_u1995) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1995), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1996), _u1997)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1995), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1995), _u1996)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1995), _u1997))) )).
% 27.68/27.93 cnf(matrix-1640, plain, ( ~class_Rings_Osemiring__1(_u1998) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1998), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u1998)) )).
% 27.68/27.93 cnf(matrix-1641, plain, ( ~class_Rings_Oring__1(_u1999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2000), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1999), _u2000) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1999), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1999), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2000))))) )).
% 27.68/27.93 cnf(matrix-1642, plain, ( ~class_Rings_Oring__1(_u1999) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2000), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1999), _u2000) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1999), hAPP(c_Int_Onat, _u2000))) )).
% 27.68/27.93 cnf(matrix-1643, 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), _u2001))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1644, 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))) )).
% 27.68/27.93 cnf(matrix-1645, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2002)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2002), _u2003) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2002 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-1646, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2002)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2002), _u2003) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2003 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-1647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2002)) | ( _u2002 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2003 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2002), _u2003) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-1648, plain, ( ~class_Groups_Ogroup__add(_u2004) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2004), c_Groups_Ozero__class_Ozero(_u2004)) = c_Groups_Ozero__class_Ozero(_u2004)) )).
% 27.68/27.93 cnf(matrix-1649, plain, ( ~class_Groups_Ogroup__add(_u2005) | ( c_Groups_Ozero__class_Ozero(_u2005) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2005), _u2006)) | ( c_Groups_Ozero__class_Ozero(_u2005) = _u2006) )).
% 27.68/27.93 cnf(matrix-1650, plain, ( ~class_Groups_Ogroup__add(_u2005) | ( c_Groups_Ozero__class_Ozero(_u2005) != _u2006) | ( c_Groups_Ozero__class_Ozero(_u2005) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2005), _u2006)) )).
% 27.68/27.93 cnf(matrix-1651, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2007) | ( _u2008 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2007), _u2008)) | ( _u2008 = c_Groups_Ozero__class_Ozero(_u2007)) )).
% 27.68/27.93 cnf(matrix-1652, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2007) | ( _u2008 != c_Groups_Ozero__class_Ozero(_u2007)) | ( _u2008 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2007), _u2008)) )).
% 27.68/27.93 cnf(matrix-1653, plain, ( ~class_Groups_Ogroup__add(_u2009) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2009), _u2010) != c_Groups_Ozero__class_Ozero(_u2009)) | ( _u2010 = c_Groups_Ozero__class_Ozero(_u2009)) )).
% 27.68/27.93 cnf(matrix-1654, plain, ( ~class_Groups_Ogroup__add(_u2009) | ( _u2010 != c_Groups_Ozero__class_Ozero(_u2009)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2009), _u2010) = c_Groups_Ozero__class_Ozero(_u2009)) )).
% 27.68/27.93 cnf(matrix-1655, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2011) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2011), _u2012) != _u2012) | ( _u2012 = c_Groups_Ozero__class_Ozero(_u2011)) )).
% 27.68/27.93 cnf(matrix-1656, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2011) | ( _u2012 != c_Groups_Ozero__class_Ozero(_u2011)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2011), _u2012) = _u2012) )).
% 27.68/27.93 cnf(matrix-1657, plain, ( ~class_Groups_Oordered__ab__group__add(_u2013) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2013), _u2014), hAPP(c_Groups_Ouminus__class_Ouminus(_u2013), _u2015))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2013), _u2015), hAPP(c_Groups_Ouminus__class_Ouminus(_u2013), _u2014))) )).
% 27.68/27.93 cnf(matrix-1658, plain, ( ~class_Groups_Oordered__ab__group__add(_u2013) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2013), _u2015), hAPP(c_Groups_Ouminus__class_Ouminus(_u2013), _u2014))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2013), _u2014), hAPP(c_Groups_Ouminus__class_Ouminus(_u2013), _u2015))) )).
% 27.68/27.93 cnf(matrix-1659, plain, ( ~class_Groups_Oordered__ab__group__add(_u2016) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2016), hAPP(c_Groups_Ouminus__class_Ouminus(_u2016), _u2017)), _u2018)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2016), hAPP(c_Groups_Ouminus__class_Ouminus(_u2016), _u2018)), _u2017)) )).
% 27.68/27.93 cnf(matrix-1660, plain, ( ~class_Groups_Oordered__ab__group__add(_u2016) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2016), hAPP(c_Groups_Ouminus__class_Ouminus(_u2016), _u2018)), _u2017)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2016), hAPP(c_Groups_Ouminus__class_Ouminus(_u2016), _u2017)), _u2018)) )).
% 27.68/27.93 cnf(matrix-1661, plain, ( ~class_Groups_Oordered__ab__group__add(_u2019) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2019), hAPP(c_Groups_Ouminus__class_Ouminus(_u2019), _u2020)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2019), _u2021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2019), _u2021), _u2020)) )).
% 27.68/27.93 cnf(matrix-1662, plain, ( ~class_Groups_Oordered__ab__group__add(_u2019) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2019), _u2021), _u2020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2019), hAPP(c_Groups_Ouminus__class_Ouminus(_u2019), _u2020)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2019), _u2021))) )).
% 27.68/27.93 cnf(matrix-1663, plain, ( ~class_Groups_Oab__group__add(_u2022) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2022), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2022), _u2023), _u2024)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2022), hAPP(c_Groups_Ouminus__class_Ouminus(_u2022), _u2023)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2022), _u2024))) )).
% 27.68/27.93 cnf(matrix-1664, plain, ( ~class_Groups_Ogroup__add(_u2025) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2025), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2025), _u2026), _u2027)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2025), hAPP(c_Groups_Ouminus__class_Ouminus(_u2025), _u2027)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2025), _u2026))) )).
% 27.68/27.93 cnf(matrix-1665, plain, ( ~class_Groups_Ogroup__add(_u2028) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2028), _u2029), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2028), hAPP(c_Groups_Ouminus__class_Ouminus(_u2028), _u2029)), _u2030)) = _u2030) )).
% 27.68/27.93 cnf(matrix-1666, plain, ( ~class_Groups_Ogroup__add(_u2031) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2031), hAPP(c_Groups_Ouminus__class_Ouminus(_u2031), _u2032)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2031), _u2032), _u2033)) = _u2033) )).
% 27.68/27.93 cnf(matrix-1667, plain, ( ~class_Rings_Ocomm__semiring__1(_u2034) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2034), c_Groups_Ozero__class_Ozero(_u2034)), _u2035) = c_Groups_Ozero__class_Ozero(_u2034)) )).
% 27.68/27.93 cnf(matrix-1668, plain, ( ~class_Rings_Ocomm__semiring__1(_u2036) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2036), _u2037), c_Groups_Ozero__class_Ozero(_u2036)) = c_Groups_Ozero__class_Ozero(_u2036)) )).
% 27.68/27.93 cnf(matrix-1669, plain, ( ~class_Rings_Omult__zero(_u2038) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2038), c_Groups_Ozero__class_Ozero(_u2038)), _u2039) = c_Groups_Ozero__class_Ozero(_u2038)) )).
% 27.68/27.93 cnf(matrix-1670, plain, ( ~class_Rings_Omult__zero(_u2040) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2040), _u2041), c_Groups_Ozero__class_Ozero(_u2040)) = c_Groups_Ozero__class_Ozero(_u2040)) )).
% 27.68/27.93 cnf(matrix-1671, plain, ( ~class_Rings_Oring__no__zero__divisors(_u2042) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2042), _u2043), _u2044) != c_Groups_Ozero__class_Ozero(_u2042)) | ( _u2043 = c_Groups_Ozero__class_Ozero(_u2042)) | ( _u2044 = c_Groups_Ozero__class_Ozero(_u2042)) )).
% 27.68/27.93 cnf(matrix-1672, plain, ( ~class_Rings_Oring__no__zero__divisors(_u2042) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2042), _u2043), _u2044) = c_Groups_Ozero__class_Ozero(_u2042)) | ( _u2043 != c_Groups_Ozero__class_Ozero(_u2042)) )).
% 27.68/27.93 cnf(matrix-1673, plain, ( ~class_Rings_Oring__no__zero__divisors(_u2042) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2042), _u2043), _u2044) = c_Groups_Ozero__class_Ozero(_u2042)) | ( _u2044 != c_Groups_Ozero__class_Ozero(_u2042)) )).
% 27.68/27.93 cnf(matrix-1674, plain, ( ~class_Rings_Ono__zero__divisors(_u2045) | ( _u2046 = c_Groups_Ozero__class_Ozero(_u2045)) | ( _u2047 = c_Groups_Ozero__class_Ozero(_u2045)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2045), _u2046), _u2047) != c_Groups_Ozero__class_Ozero(_u2045)) )).
% 27.68/27.93 cnf(matrix-1675, plain, ( ~class_Rings_Ono__zero__divisors(_u2048) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2048), _u2049), _u2050) != c_Groups_Ozero__class_Ozero(_u2048)) | ( _u2049 = c_Groups_Ozero__class_Ozero(_u2048)) | ( _u2050 = c_Groups_Ozero__class_Ozero(_u2048)) )).
% 27.68/27.93 cnf(matrix-1676, plain, ( ~class_Rings_Ozero__neq__one(_u2051) | ( c_Groups_Oone__class_Oone(_u2051) != c_Groups_Ozero__class_Ozero(_u2051)) )).
% 27.68/27.93 cnf(matrix-1677, plain, ( ~class_Rings_Ozero__neq__one(_u2052) | ( c_Groups_Ozero__class_Ozero(_u2052) != c_Groups_Oone__class_Oone(_u2052)) )).
% 27.68/27.93 cnf(matrix-1678, 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)) )).
% 27.68/27.93 cnf(matrix-1679, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2053)) = _u2053) )).
% 27.68/27.93 cnf(matrix-1680, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2054) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2055), _u2056)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2057), _u2058)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2055), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2057), _u2056))) | ( _u2055 = _u2057) | ( _u2056 = _u2058) )).
% 27.68/27.93 cnf(matrix-1681, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2054) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2055), _u2056)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2057), _u2058)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2055), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2057), _u2056))) | ( _u2055 != _u2057) )).
% 27.68/27.93 cnf(matrix-1682, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2054) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2055), _u2056)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2057), _u2058)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2054), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2055), _u2058)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2054), _u2057), _u2056))) | ( _u2056 != _u2058) )).
% 27.68/27.93 cnf(matrix-1683, plain, ( ~class_Rings_Ocomm__semiring__1(_u2059) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2059), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2059), _u2060), _u2061)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2059), _u2062), _u2061)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2059), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2059), _u2060), _u2062)), _u2061)) )).
% 27.68/27.93 cnf(matrix-1684, plain, ( ~class_Rings_Ocomm__semiring__1(_u2063) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2063), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2063), _u2064), _u2065)), _u2066) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2063), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2063), _u2064), _u2066)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2063), _u2065), _u2066))) )).
% 27.68/27.93 cnf(matrix-1685, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2067) | ( _u2068 = _u2069) | ( _u2070 = _u2071) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2070)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2069), _u2071)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2071)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2069), _u2070))) )).
% 27.68/27.93 cnf(matrix-1686, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2067) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2070)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2069), _u2071)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2071)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2069), _u2070))) | ( _u2068 != _u2069) )).
% 27.68/27.93 cnf(matrix-1687, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2067) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2070)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2069), _u2071)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2068), _u2071)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2067), _u2069), _u2070))) | ( _u2070 != _u2071) )).
% 27.68/27.93 cnf(matrix-1688, plain, ( ~class_Rings_Ocomm__semiring__1(_u2072) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2072), _u2073), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2072), _u2074), _u2075)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2072), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2072), _u2073), _u2074)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2072), _u2073), _u2075))) )).
% 27.68/27.93 cnf(matrix-1689, plain, ( ~class_Rings_Osemiring(_u2076) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2076), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2076), _u2077), _u2078)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2076), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2076), _u2079), _u2078)), _u2080)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2076), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2076), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2076), _u2077), _u2079)), _u2078)), _u2080)) )).
% 27.68/27.93 cnf(matrix-1690, plain, ( ~class_Rings_Ocomm__semiring(_u2081) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2081), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2081), _u2082), _u2083)), _u2084) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2081), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2081), _u2082), _u2084)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2081), _u2083), _u2084))) )).
% 27.68/27.93 cnf(matrix-1691, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2085), _u2086)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2085)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2086))) )).
% 27.68/27.93 cnf(matrix-1692, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2087), _u2088)), _u2089) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2087), _u2089)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2088), _u2089))) )).
% 27.68/27.93 cnf(matrix-1693, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2090), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2091), _u2092)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2090), _u2091)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2090), _u2092))) )).
% 27.68/27.93 cnf(matrix-1694, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-1695, plain, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2093)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2093)) )).
% 27.68/27.93 cnf(matrix-1696, 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, _u2095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2095)) )).
% 27.68/27.93 cnf(matrix-1697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2096)) | 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, _u2096))) )).
% 27.68/27.93 cnf(matrix-1698, plain, ( ~class_Groups_Oordered__ab__group__add(_u2097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), c_Groups_Ozero__class_Ozero(_u2097)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2097), _u2098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), _u2098), c_Groups_Ozero__class_Ozero(_u2097))) )).
% 27.68/27.93 cnf(matrix-1699, plain, ( ~class_Groups_Oordered__ab__group__add(_u2097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), _u2098), c_Groups_Ozero__class_Ozero(_u2097))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), c_Groups_Ozero__class_Ozero(_u2097)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2097), _u2098))) )).
% 27.68/27.93 cnf(matrix-1700, plain, ( ~class_Groups_Oordered__ab__group__add(_u2099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), hAPP(c_Groups_Ouminus__class_Ouminus(_u2099), _u2100)), c_Groups_Ozero__class_Ozero(_u2099))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), c_Groups_Ozero__class_Ozero(_u2099)), _u2100)) )).
% 27.68/27.93 cnf(matrix-1701, plain, ( ~class_Groups_Oordered__ab__group__add(_u2099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), c_Groups_Ozero__class_Ozero(_u2099)), _u2100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), hAPP(c_Groups_Ouminus__class_Ouminus(_u2099), _u2100)), c_Groups_Ozero__class_Ozero(_u2099))) )).
% 27.68/27.93 cnf(matrix-1702, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), hAPP(c_Groups_Ouminus__class_Ouminus(_u2101), _u2102)), _u2102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), c_Groups_Ozero__class_Ozero(_u2101)), _u2102)) )).
% 27.68/27.93 cnf(matrix-1703, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), c_Groups_Ozero__class_Ozero(_u2101)), _u2102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2101), hAPP(c_Groups_Ouminus__class_Ouminus(_u2101), _u2102)), _u2102)) )).
% 27.68/27.93 cnf(matrix-1704, plain, ( ~class_Rings_Olinordered__idom(_u2103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2103), _u2104), hAPP(c_Groups_Ouminus__class_Ouminus(_u2103), _u2104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2103), _u2104), c_Groups_Ozero__class_Ozero(_u2103))) )).
% 27.68/27.93 cnf(matrix-1705, plain, ( ~class_Rings_Olinordered__idom(_u2103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2103), _u2104), c_Groups_Ozero__class_Ozero(_u2103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2103), _u2104), hAPP(c_Groups_Ouminus__class_Ouminus(_u2103), _u2104))) )).
% 27.68/27.93 cnf(matrix-1706, plain, ( ~class_Groups_Ogroup__add(_u2105) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), _u2106), _u2107) != c_Groups_Ozero__class_Ozero(_u2105)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2105), _u2106) = _u2107) )).
% 27.68/27.93 cnf(matrix-1707, plain, ( ~class_Groups_Oab__group__add(_u2108) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2108), hAPP(c_Groups_Ouminus__class_Ouminus(_u2108), _u2109)), _u2109) = c_Groups_Ozero__class_Ozero(_u2108)) )).
% 27.68/27.93 cnf(matrix-1708, plain, ( ~class_Groups_Ogroup__add(_u2110) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2110), hAPP(c_Groups_Ouminus__class_Ouminus(_u2110), _u2111)), _u2111) = c_Groups_Ozero__class_Ozero(_u2110)) )).
% 27.68/27.93 cnf(matrix-1709, plain, ( ~class_Groups_Ogroup__add(_u2112) | ( _u2113 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2112), _u2114)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2112), _u2113), _u2114) = c_Groups_Ozero__class_Ozero(_u2112)) )).
% 27.68/27.93 cnf(matrix-1710, plain, ( ~class_Groups_Ogroup__add(_u2112) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2112), _u2113), _u2114) != c_Groups_Ozero__class_Ozero(_u2112)) | ( _u2113 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2112), _u2114)) )).
% 27.68/27.93 cnf(matrix-1711, plain, ( ~class_Groups_Ogroup__add(_u2115) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2115), _u2116), hAPP(c_Groups_Ouminus__class_Ouminus(_u2115), _u2116)) = c_Groups_Ozero__class_Ozero(_u2115)) )).
% 27.68/27.93 cnf(matrix-1712, plain, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1713, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-1714, plain, ( ~class_Rings_Olinordered__ring(_u2117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), _u2118), _u2118)), c_Groups_Ozero__class_Ozero(_u2117))) )).
% 27.68/27.93 cnf(matrix-1715, plain, ( ~class_Rings_Olinordered__ring__strict(_u2119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2120), _u2121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2122), _u2121))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), c_Groups_Ozero__class_Ozero(_u2119)), _u2121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2121), c_Groups_Ozero__class_Ozero(_u2119))) )).
% 27.68/27.93 cnf(matrix-1716, plain, ( ~class_Rings_Olinordered__ring__strict(_u2119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2120), _u2121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2122), _u2121))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), c_Groups_Ozero__class_Ozero(_u2119)), _u2121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2122), _u2120)) )).
% 27.68/27.93 cnf(matrix-1717, plain, ( ~class_Rings_Olinordered__ring__strict(_u2119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2120), _u2121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2122), _u2121))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2120), _u2122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2121), c_Groups_Ozero__class_Ozero(_u2119))) )).
% 27.68/27.93 cnf(matrix-1718, plain, ( ~class_Rings_Olinordered__ring__strict(_u2119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2120), _u2121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2122), _u2121))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2120), _u2122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2122), _u2120)) )).
% 27.68/27.93 cnf(matrix-1719, plain, ( ~class_Rings_Olinordered__ring__strict(_u2119) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2120), _u2121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2122), _u2121))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), c_Groups_Ozero__class_Ozero(_u2119)), _u2121)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2120), _u2122)) )).
% 27.68/27.93 cnf(matrix-1720, plain, ( ~class_Rings_Olinordered__ring__strict(_u2119) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2120), _u2121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2119), _u2122), _u2121))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2121), c_Groups_Ozero__class_Ozero(_u2119))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2119), _u2122), _u2120)) )).
% 27.68/27.93 cnf(matrix-1721, plain, ( ~class_Rings_Olinordered__ring__strict(_u2123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2126))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), c_Groups_Ozero__class_Ozero(_u2123)), _u2124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2124), c_Groups_Ozero__class_Ozero(_u2123))) )).
% 27.68/27.93 cnf(matrix-1722, plain, ( ~class_Rings_Olinordered__ring__strict(_u2123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2126))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), c_Groups_Ozero__class_Ozero(_u2123)), _u2124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2126), _u2125)) )).
% 27.68/27.93 cnf(matrix-1723, plain, ( ~class_Rings_Olinordered__ring__strict(_u2123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2126))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2125), _u2126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2124), c_Groups_Ozero__class_Ozero(_u2123))) )).
% 27.68/27.93 cnf(matrix-1724, plain, ( ~class_Rings_Olinordered__ring__strict(_u2123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2126))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2125), _u2126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2126), _u2125)) )).
% 27.68/27.93 cnf(matrix-1725, plain, ( ~class_Rings_Olinordered__ring__strict(_u2123) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2126))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), c_Groups_Ozero__class_Ozero(_u2123)), _u2124)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2125), _u2126)) )).
% 27.68/27.93 cnf(matrix-1726, plain, ( ~class_Rings_Olinordered__ring__strict(_u2123) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2126))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2124), c_Groups_Ozero__class_Ozero(_u2123))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2123), _u2126), _u2125)) )).
% 27.68/27.93 cnf(matrix-1727, plain, ( ~class_Rings_Olinordered__ring__strict(_u2127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2127), c_Groups_Ozero__class_Ozero(_u2127)), _u2128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2127), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2127), _u2128), _u2129)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2127), _u2128), _u2130))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2127), _u2129), _u2130)) )).
% 27.68/27.93 cnf(matrix-1728, plain, ( ~class_Rings_Olinordered__ring__strict(_u2127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2127), c_Groups_Ozero__class_Ozero(_u2127)), _u2128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2127), _u2129), _u2130)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2127), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2127), _u2128), _u2129)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2127), _u2128), _u2130))) )).
% 27.68/27.93 cnf(matrix-1729, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2131) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), _u2132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), _u2133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2131), _u2132), _u2133))) )).
% 27.68/27.93 cnf(matrix-1730, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2134), c_Groups_Ozero__class_Ozero(_u2134)), _u2135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2134), _u2136), c_Groups_Ozero__class_Ozero(_u2134))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2134), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2134), _u2135), _u2136)), c_Groups_Ozero__class_Ozero(_u2134))) )).
% 27.68/27.93 cnf(matrix-1731, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2137), c_Groups_Ozero__class_Ozero(_u2137)), _u2138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2137), _u2139), c_Groups_Ozero__class_Ozero(_u2137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2137), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2137), _u2139), _u2138)), c_Groups_Ozero__class_Ozero(_u2137))) )).
% 27.68/27.93 cnf(matrix-1732, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2140) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2140), c_Groups_Ozero__class_Ozero(_u2140)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2140), _u2141), _u2142))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2140), c_Groups_Ozero__class_Ozero(_u2140)), _u2141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2140), c_Groups_Ozero__class_Ozero(_u2140)), _u2142)) )).
% 27.68/27.93 cnf(matrix-1733, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2143) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2143), c_Groups_Ozero__class_Ozero(_u2143)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2143), _u2144), _u2145))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2143), c_Groups_Ozero__class_Ozero(_u2143)), _u2145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2143), c_Groups_Ozero__class_Ozero(_u2143)), _u2144)) )).
% 27.68/27.93 cnf(matrix-1734, plain, ( ~class_Rings_Olinordered__ring__strict(_u2146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), _u2147), c_Groups_Ozero__class_Ozero(_u2146))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2146), _u2147), _u2148)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2146), _u2147), _u2149))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), _u2149), _u2148)) )).
% 27.68/27.93 cnf(matrix-1735, plain, ( ~class_Rings_Olinordered__ring__strict(_u2146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), _u2147), c_Groups_Ozero__class_Ozero(_u2146))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), _u2149), _u2148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2146), _u2147), _u2148)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2146), _u2147), _u2149))) )).
% 27.68/27.93 cnf(matrix-1736, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2150), _u2151), c_Groups_Ozero__class_Ozero(_u2150))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2150), c_Groups_Ozero__class_Ozero(_u2150)), _u2152)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2150), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2150), _u2151), _u2152)), c_Groups_Ozero__class_Ozero(_u2150))) )).
% 27.68/27.93 cnf(matrix-1737, plain, ( ~class_Rings_Olinordered__ring__strict(_u2153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2153), _u2154), c_Groups_Ozero__class_Ozero(_u2153))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2153), _u2155), c_Groups_Ozero__class_Ozero(_u2153))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2153), c_Groups_Ozero__class_Ozero(_u2153)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2153), _u2154), _u2155))) )).
% 27.68/27.93 cnf(matrix-1738, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2156), _u2157), _u2158)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2156), c_Groups_Ozero__class_Ozero(_u2156)), _u2159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2156), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2156), _u2157), _u2159)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2156), _u2158), _u2159))) )).
% 27.68/27.93 cnf(matrix-1739, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2160), _u2161), _u2162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2160), c_Groups_Ozero__class_Ozero(_u2160)), _u2163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2160), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2160), _u2163), _u2161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2160), _u2163), _u2162))) )).
% 27.68/27.93 cnf(matrix-1740, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u2164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2164), _u2165), _u2166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2164), c_Groups_Ozero__class_Ozero(_u2164)), _u2167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2164), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2164), _u2167), _u2165)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2164), _u2167), _u2166))) )).
% 27.68/27.93 cnf(matrix-1741, plain, ( ~class_Rings_Olinordered__ring__strict(_u2168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2168), _u2169), _u2170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2168), _u2171), c_Groups_Ozero__class_Ozero(_u2168))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2168), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2170), _u2171)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2169), _u2171))) )).
% 27.68/27.93 cnf(matrix-1742, plain, ( ~class_Rings_Olinordered__ring__strict(_u2172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2172), _u2173), _u2174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2172), _u2175), c_Groups_Ozero__class_Ozero(_u2172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2172), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2175), _u2174)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2175), _u2173))) )).
% 27.68/27.93 cnf(matrix-1743, plain, ( ~class_Rings_Olinordered__semidom(_u2176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2176), c_Groups_Oone__class_Oone(_u2176)), c_Groups_Ozero__class_Ozero(_u2176))) )).
% 27.68/27.93 cnf(matrix-1744, plain, ( ~class_Rings_Olinordered__semidom(_u2177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2177), c_Groups_Ozero__class_Ozero(_u2177)), c_Groups_Oone__class_Oone(_u2177))) )).
% 27.68/27.93 cnf(matrix-1745, plain, ( ~class_Rings_Olinordered__ring__strict(_u2178) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2178), _u2179), _u2179)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2178), _u2180), _u2180)) != c_Groups_Ozero__class_Ozero(_u2178)) | ( _u2179 = c_Groups_Ozero__class_Ozero(_u2178)) )).
% 27.68/27.93 cnf(matrix-1746, plain, ( ~class_Rings_Olinordered__ring__strict(_u2178) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2178), _u2179), _u2179)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2178), _u2180), _u2180)) != c_Groups_Ozero__class_Ozero(_u2178)) | ( _u2180 = c_Groups_Ozero__class_Ozero(_u2178)) )).
% 27.68/27.93 cnf(matrix-1747, plain, ( ~class_Rings_Olinordered__ring__strict(_u2178) | ( _u2179 != c_Groups_Ozero__class_Ozero(_u2178)) | ( _u2180 != c_Groups_Ozero__class_Ozero(_u2178)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2178), _u2179), _u2179)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2178), _u2180), _u2180)) = c_Groups_Ozero__class_Ozero(_u2178)) )).
% 27.68/27.93 cnf(matrix-1748, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2181) | ( _u2182 = c_Groups_Ozero__class_Ozero(_u2181)) | ( _u2183 != _u2184) | ( _u2185 = _u2186) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2181), _u2183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2181), _u2182), _u2185)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2181), _u2184), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2181), _u2182), _u2186))) )).
% 27.68/27.93 cnf(matrix-1749, plain, ( ~class_Rings_Olinordered__semidom(_u2187) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2187), _u2188), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2187), _u2188), c_Groups_Oone__class_Oone(_u2187)))) )).
% 27.68/27.93 cnf(matrix-1750, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2189)), _u2189) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-1751, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2192)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2194)) | ( _u2192 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1752, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2192)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2194)) | ( _u2194 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1753, plain, ( ( _u2193 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2195 != 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), _u2193)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2195)) )).
% 27.68/27.93 cnf(matrix-1754, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2196)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2197)))) )).
% 27.68/27.93 cnf(matrix-1755, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2198), _u2199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2200), _u2198)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2200), _u2199))) )).
% 27.68/27.93 cnf(matrix-1756, 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))) )).
% 27.68/27.93 cnf(matrix-1757, 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)), _u2201)), _u2201) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-1758, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2204), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2206), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2204), _u2206)) | ( _u2204 = _u2206) )).
% 27.68/27.93 cnf(matrix-1759, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2205), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2207), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2205), _u2207)) )).
% 27.68/27.93 cnf(matrix-1760, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2205), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2207), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u2205 != _u2207) )).
% 27.68/27.93 cnf(matrix-1761, plain, ( ~class_Rings_Oring__1(_u2208) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2208), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u2208)) )).
% 27.68/27.93 cnf(matrix-1762, plain, ( ~class_Int_Oring__char__0(_u2209) | ( c_Groups_Ozero__class_Ozero(_u2209) != hAPP(c_Int_Oring__1__class_Oof__int(_u2209), _u2210)) | ( _u2210 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-1763, plain, ( ~class_Int_Oring__char__0(_u2209) | ( _u2210 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u2209) = hAPP(c_Int_Oring__1__class_Oof__int(_u2209), _u2210)) )).
% 27.68/27.93 cnf(matrix-1764, plain, ( ~class_Int_Oring__char__0(_u2211) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2211), _u2212) != c_Groups_Ozero__class_Ozero(_u2211)) | ( _u2212 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-1765, plain, ( ~class_Int_Oring__char__0(_u2211) | ( _u2212 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2211), _u2212) = c_Groups_Ozero__class_Ozero(_u2211)) )).
% 27.68/27.93 cnf(matrix-1766, plain, ( ~class_Rings_Olinordered__idom(_u2213) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2213), hAPP(c_Int_Oring__1__class_Oof__int(_u2213), _u2214)), hAPP(c_Int_Oring__1__class_Oof__int(_u2213), _u2215))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2214), _u2215)) )).
% 27.68/27.93 cnf(matrix-1767, plain, ( ~class_Rings_Olinordered__idom(_u2213) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2214), _u2215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2213), hAPP(c_Int_Oring__1__class_Oof__int(_u2213), _u2214)), hAPP(c_Int_Oring__1__class_Oof__int(_u2213), _u2215))) )).
% 27.68/27.93 cnf(matrix-1768, plain, ( ~class_Rings_Oring__1(_u2216) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2216), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2217), _u2218)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2216), hAPP(c_Int_Oring__1__class_Oof__int(_u2216), _u2217)), hAPP(c_Int_Oring__1__class_Oof__int(_u2216), _u2218))) )).
% 27.68/27.93 cnf(matrix-1769, plain, ( ~class_Rings_Oring__1(_u2219) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u2219), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2220)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2219), _u2220)) )).
% 27.68/27.93 cnf(matrix-1770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2221)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2222)), hAPP(c_Int_Onat, _u2221))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2222), _u2221)) )).
% 27.68/27.93 cnf(matrix-1771, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2221)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2222), _u2221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2222)), hAPP(c_Int_Onat, _u2221))) )).
% 27.68/27.93 cnf(matrix-1772, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2225)), hAPP(c_Int_Onat, _u2227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2227)) )).
% 27.68/27.93 cnf(matrix-1773, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2225)), hAPP(c_Int_Onat, _u2227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2225), _u2227)) )).
% 27.68/27.93 cnf(matrix-1774, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2226), _u2228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2226)), hAPP(c_Int_Onat, _u2228))) )).
% 27.68/27.93 cnf(matrix-1775, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2231), hAPP(c_Int_Onat, _u2233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2231)), _u2233)) )).
% 27.68/27.93 cnf(matrix-1776, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2232)), _u2234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2232), hAPP(c_Int_Onat, _u2234))) )).
% 27.68/27.93 cnf(matrix-1777, plain, ( ~class_Rings_Olinordered__ring__strict(_u2235) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2235), c_Groups_Ozero__class_Ozero(_u2235)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2235), _u2236), _u2236)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2235), _u2237), _u2237)))) | ( _u2236 != c_Groups_Ozero__class_Ozero(_u2235)) | ( _u2237 != c_Groups_Ozero__class_Ozero(_u2235)) )).
% 27.68/27.93 cnf(matrix-1778, plain, ( ~class_Rings_Olinordered__ring__strict(_u2235) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2235), c_Groups_Ozero__class_Ozero(_u2235)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2235), _u2236), _u2236)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2235), _u2237), _u2237)))) | ( _u2236 = c_Groups_Ozero__class_Ozero(_u2235)) )).
% 27.68/27.93 cnf(matrix-1779, plain, ( ~class_Rings_Olinordered__ring__strict(_u2235) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2235), c_Groups_Ozero__class_Ozero(_u2235)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2235), _u2236), _u2236)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2235), _u2237), _u2237)))) | ( _u2237 = c_Groups_Ozero__class_Ozero(_u2235)) )).
% 27.68/27.93 cnf(matrix-1780, plain, ( ~class_Rings_Olinordered__ring(_u2238) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2238), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2238), _u2239), _u2239)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2238), _u2240), _u2240))), c_Groups_Ozero__class_Ozero(_u2238))) )).
% 27.68/27.93 cnf(matrix-1781, plain, ( ~class_Rings_Olinordered__semidom(_u2241) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2241), c_Groups_Ozero__class_Ozero(_u2241)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2241), c_Groups_Oone__class_Oone(_u2241)), c_Groups_Oone__class_Oone(_u2241)))) )).
% 27.68/27.93 cnf(matrix-1782, plain, ( ~class_Rings_Osemiring__1(_u2242) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2242), hAPP(c_Nat_OSuc, _u2243)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2242), c_Groups_Oone__class_Oone(_u2242)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2242), _u2243))) )).
% 27.68/27.93 cnf(matrix-1783, 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)) )).
% 27.68/27.93 cnf(matrix-1784, plain, ( ( c_Int_Onat__aux(_u2244, _u2245) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u2244)), _u2245)) )).
% 27.68/27.93 cnf(matrix-1785, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2247), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2247 = 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(_u2247))))) )).
% 27.68/27.93 cnf(matrix-1786, plain, ( ~class_Groups_Osgn__if(_u2248) | ( _u2249 != c_Groups_Ozero__class_Ozero(_u2248)) | ( c_Groups_Osgn__class_Osgn(_u2248, _u2249) = c_Groups_Ozero__class_Ozero(_u2248)) )).
% 27.68/27.93 cnf(matrix-1787, plain, ( ~class_Groups_Osgn__if(_u2248) | ( _u2249 = c_Groups_Ozero__class_Ozero(_u2248)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2248), c_Groups_Ozero__class_Ozero(_u2248)), _u2249)) | ( c_Groups_Osgn__class_Osgn(_u2248, _u2249) = c_Groups_Oone__class_Oone(_u2248)) )).
% 27.68/27.93 cnf(matrix-1788, plain, ( ~class_Groups_Osgn__if(_u2248) | ( _u2249 = c_Groups_Ozero__class_Ozero(_u2248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2248), c_Groups_Ozero__class_Ozero(_u2248)), _u2249)) | ( c_Groups_Osgn__class_Osgn(_u2248, _u2249) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2248), c_Groups_Oone__class_Oone(_u2248))) )).
% 27.68/27.93 cnf(matrix-1789, plain, ( ~class_Rings_Olinordered__idom(_u2250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2250), _u2251), c_Groups_Ozero__class_Ozero(_u2250))) | ( c_Groups_Osgn__class_Osgn(_u2250, _u2251) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2250), c_Groups_Oone__class_Oone(_u2250))) )).
% 27.68/27.93 cnf(matrix-1790, plain, ( ~class_Rings_Olinordered__idom(_u2252) | ( c_Groups_Osgn__class_Osgn(_u2252, _u2253) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2252), c_Groups_Oone__class_Oone(_u2252))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2252), _u2253), c_Groups_Ozero__class_Ozero(_u2252))) )).
% 27.68/27.93 cnf(matrix-1791, plain, ( ~class_Rings_Olinordered__idom(_u2252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2252), _u2253), c_Groups_Ozero__class_Ozero(_u2252))) | ( c_Groups_Osgn__class_Osgn(_u2252, _u2253) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2252), c_Groups_Oone__class_Oone(_u2252))) )).
% 27.68/27.93 cnf(matrix-1792, plain, ( ( _u2255 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2255) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-1793, plain, ( ( _u2256 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2256)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2256) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-1794, plain, ( ( _u2256 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2256)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2256) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-1795, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2257)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u2257)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2257))) )).
% 27.68/27.93 cnf(matrix-1796, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2258)), _u2259)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2258), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2259))) )).
% 27.68/27.93 cnf(matrix-1797, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2258), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2258)), _u2259)) )).
% 27.68/27.93 cnf(matrix-1798, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u2260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2260), _u2261), _u2262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2260), _u2263), _u2262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2260), c_Groups_Ozero__class_Ozero(_u2260)), _u2264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2260), c_Groups_Ozero__class_Ozero(_u2260)), _u2265)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2260), _u2264), _u2265) != c_Groups_Oone__class_Oone(_u2260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2260), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2260), _u2264), _u2261)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2260), _u2265), _u2263))), _u2262)) )).
% 27.68/27.93 cnf(matrix-1799, plain, ( ~class_Rings_Olinordered__idom(_u2266) | ( c_Groups_Osgn__class_Osgn(_u2266, _u2267) != c_Groups_Oone__class_Oone(_u2266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2266), c_Groups_Ozero__class_Ozero(_u2266)), _u2267)) )).
% 27.68/27.93 cnf(matrix-1800, plain, ( ~class_Rings_Olinordered__idom(_u2266) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2266), c_Groups_Ozero__class_Ozero(_u2266)), _u2267)) | ( c_Groups_Osgn__class_Osgn(_u2266, _u2267) = c_Groups_Oone__class_Oone(_u2266)) )).
% 27.68/27.93 cnf(matrix-1801, plain, ( ~class_Orderings_Opreorder(_u2268) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2268), _u2269), _u2269)) )).
% 27.68/27.93 cnf(matrix-1802, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2270)) )).
% 27.68/27.93 cnf(matrix-1803, 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), _u2271))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2272))) )).
% 27.68/27.93 cnf(matrix-1804, plain, ( ( _u2273 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2273), _u2274)) | ( _u2274 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2273 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1805, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2280), _u2282)) | ~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, _u2278)), _u2280)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2278)), _u2282))) )).
% 27.68/27.93 cnf(matrix-1806, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2281), _u2283)) | 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, _u2279)), _u2281)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2279)), _u2283))) )).
% 27.68/27.93 cnf(matrix-1807, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2284), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2284), _u2284))) )).
% 27.68/27.93 cnf(matrix-1808, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2285), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2285), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2285), _u2285)))) )).
% 27.68/27.93 cnf(matrix-1809, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2286) = _u2286) )).
% 27.68/27.93 cnf(matrix-1810, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2289), _u2291)) | ( _u2289 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1811, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2289), _u2291)) | ( _u2291 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1812, plain, ( ( _u2290 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2292 != 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), _u2290), _u2292)) )).
% 27.68/27.93 cnf(matrix-1813, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2293), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2293) )).
% 27.68/27.93 cnf(matrix-1814, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2294), _u2295) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2295), _u2294)) )).
% 27.68/27.93 cnf(matrix-1815, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2298), _u2300) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2298 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1816, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2298), _u2300) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2300 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1817, plain, ( ( _u2299 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2301 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2299), _u2301) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1818, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2302), _u2303)), _u2304) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2303), _u2304))) )).
% 27.68/27.93 cnf(matrix-1819, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2305), _u2306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2305), _u2307)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2306), _u2307))) )).
% 27.68/27.93 cnf(matrix-1820, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2308), _u2309)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2310), _u2308)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2310), _u2309))) )).
% 27.68/27.93 cnf(matrix-1821, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2311), _u2312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2313), _u2314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2311), _u2313)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2312), _u2314))) )).
% 27.68/27.93 cnf(matrix-1822, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2315), _u2316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2316), _u2315)) | ( _u2315 = _u2316) )).
% 27.68/27.93 cnf(matrix-1823, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2317), _u2318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2318), _u2319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2317), _u2319)) )).
% 27.68/27.93 cnf(matrix-1824, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2320), _u2321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2321), _u2320)) )).
% 27.68/27.93 cnf(matrix-1825, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2322), _u2322)) )).
% 27.68/27.93 cnf(matrix-1826, plain, ( ~class_Rings_Olinordered__idom(_u2323) | ( c_Groups_Osgn__class_Osgn(_u2323, c_Groups_Osgn__class_Osgn(_u2323, _u2324)) = c_Groups_Osgn__class_Osgn(_u2323, _u2324)) )).
% 27.68/27.93 cnf(matrix-1827, plain, ( ~class_Orderings_Olinorder(_u2325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2325), _u2326), _u2327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2325), _u2327), _u2326)) )).
% 27.68/27.93 cnf(matrix-1828, plain, ( ~class_Orderings_Oord(_u2328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2329, _u2328)), _u2330), _u2331)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2328), hAPP(_u2330, _u2332)), hAPP(_u2331, _u2332))) )).
% 27.68/27.93 cnf(matrix-1829, plain, ( ~class_Orderings_Oorder(_u2333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2333), _u2334), _u2335)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2333), _u2336), _u2334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2333), _u2336), _u2335)) )).
% 27.68/27.93 cnf(matrix-1830, plain, ( ~class_Orderings_Oorder(_u2337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2337), _u2338), _u2339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2337), _u2339), _u2338)) | ( _u2339 = _u2338) )).
% 27.68/27.93 cnf(matrix-1831, plain, ( ~class_Orderings_Opreorder(_u2340) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2340), _u2341), _u2342)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2340), _u2342), _u2343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2340), _u2341), _u2343)) )).
% 27.68/27.93 cnf(matrix-1832, plain, ( ~class_Orderings_Oorder(_u2344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2344), _u2345), _u2346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2344), _u2346), _u2345)) | ( _u2345 = _u2346) )).
% 27.68/27.93 cnf(matrix-1833, plain, ( ~class_Orderings_Oorder(_u2347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2347), _u2348), _u2349)) | ( _u2348 != _u2350) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2347), _u2350), _u2349)) )).
% 27.68/27.93 cnf(matrix-1834, plain, ( ~class_Orderings_Oord(_u2351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2351), _u2352), _u2353)) | ( _u2353 != _u2354) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2351), _u2352), _u2354)) )).
% 27.68/27.93 cnf(matrix-1835, plain, ( ~class_Orderings_Oorder(_u2355) | ( _u2356 != _u2357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2355), _u2358), _u2357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2355), _u2358), _u2356)) )).
% 27.68/27.93 cnf(matrix-1836, plain, ( ~class_Orderings_Oord(_u2359) | ( _u2360 != _u2361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2359), _u2361), _u2362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2359), _u2360), _u2362)) )).
% 27.68/27.93 cnf(matrix-1837, 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__eq(_u2363), _u2365), _u2364)) | ( _u2365 = _u2364) )).
% 27.68/27.93 cnf(matrix-1838, plain, ( ~class_Orderings_Oorder(_u2363) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2363), _u2364), _u2365)) | ( _u2365 != _u2364) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2363), _u2365), _u2364)) )).
% 27.68/27.93 cnf(matrix-1839, plain, ( ~class_Orderings_Oord(_u2366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2367, _u2366)), _u2368), _u2369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2366), hAPP(_u2368, _u2370)), hAPP(_u2369, _u2370))) )).
% 27.68/27.93 cnf(matrix-1840, plain, ( ~class_Orderings_Opreorder(_u2371) | ( _u2372 != _u2373) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2371), _u2372), _u2373)) )).
% 27.68/27.93 cnf(matrix-1841, plain, ( ~class_Orderings_Oorder(_u2374) | ( _u2375 != _u2376) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2374), _u2375), _u2376)) )).
% 27.68/27.93 cnf(matrix-1842, plain, ( ~class_Orderings_Oorder(_u2374) | ( _u2375 != _u2376) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2374), _u2376), _u2375)) )).
% 27.68/27.93 cnf(matrix-1843, plain, ( ~class_Orderings_Oorder(_u2374) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2374), _u2375), _u2376)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2374), _u2376), _u2375)) | ( _u2375 = _u2376) )).
% 27.68/27.93 cnf(matrix-1844, plain, ( ~class_Orderings_Olinorder(_u2377) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2377), _u2378), _u2379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2377), _u2379), _u2378)) )).
% 27.68/27.93 cnf(matrix-1845, plain, ( ~class_Orderings_Oord(_u2382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2383, _u2382)), _u2384), _u2385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2382), hAPP(_u2384, _u2380)), hAPP(_u2385, _u2380))) )).
% 27.68/27.93 cnf(matrix-1846, plain, ( ~class_Orderings_Oord(_u2382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2382), hAPP(_u2384, skolem42(_u2385, _u2384, _u2383, _u2382))), hAPP(_u2385, skolem42(_u2385, _u2384, _u2383, _u2382)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2383, _u2382)), _u2384), _u2385)) )).
% 27.68/27.93 cnf(matrix-1847, plain, ( ~class_Rings_Olinordered__semidom(_u2386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2386), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2386), _u2387)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2386), _u2388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2387), _u2388)) )).
% 27.68/27.93 cnf(matrix-1848, plain, ( ~class_Rings_Olinordered__semidom(_u2386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2387), _u2388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2386), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2386), _u2387)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2386), _u2388))) )).
% 27.68/27.93 cnf(matrix-1849, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2391)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2393))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2391), _u2393)) )).
% 27.68/27.93 cnf(matrix-1850, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2392), _u2394)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2392)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2394))) )).
% 27.68/27.93 cnf(matrix-1851, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2397)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2397), _u2399)) )).
% 27.68/27.93 cnf(matrix-1852, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2398), _u2400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2398)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2400))) )).
% 27.68/27.93 cnf(matrix-1853, plain, ( ~class_Rings_Olinordered__idom(_u2401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2401), hAPP(c_Int_Oring__1__class_Oof__int(_u2401), _u2402)), hAPP(c_Int_Oring__1__class_Oof__int(_u2401), _u2403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2402), _u2403)) )).
% 27.68/27.93 cnf(matrix-1854, plain, ( ~class_Rings_Olinordered__idom(_u2401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2402), _u2403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2401), hAPP(c_Int_Oring__1__class_Oof__int(_u2401), _u2402)), hAPP(c_Int_Oring__1__class_Oof__int(_u2401), _u2403))) )).
% 27.68/27.93 cnf(matrix-1855, 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), _u2406), _u2408))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2406)) )).
% 27.68/27.93 cnf(matrix-1856, 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), _u2406), _u2408))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2408)) )).
% 27.68/27.93 cnf(matrix-1857, 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))), _u2407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2409)) | 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), _u2407), _u2409))) )).
% 27.68/27.93 cnf(matrix-1858, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2413), _u2415)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2413), _u2417))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2415), _u2417)) )).
% 27.68/27.93 cnf(matrix-1859, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2414), _u2416)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2414), _u2418))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2414)) )).
% 27.68/27.93 cnf(matrix-1860, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2414), _u2416)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2414), _u2418))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2416), _u2418)) )).
% 27.68/27.93 cnf(matrix-1861, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2422), _u2424)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2426), _u2424))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2422), _u2426)) )).
% 27.68/27.93 cnf(matrix-1862, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2423), _u2425)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2427), _u2425))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2425)) )).
% 27.68/27.93 cnf(matrix-1863, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2423), _u2425)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2427), _u2425))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2423), _u2427)) )).
% 27.68/27.93 cnf(matrix-1864, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2428)), hAPP(c_Int_Onat, _u2429))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2428), _u2429)) )).
% 27.68/27.93 cnf(matrix-1865, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2428), _u2429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2428)), hAPP(c_Int_Onat, _u2429))) )).
% 27.68/27.93 cnf(matrix-1866, plain, ( ~class_Orderings_Olinorder(_u2430) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2431), _u2432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2430), _u2432), _u2431)) )).
% 27.68/27.93 cnf(matrix-1867, plain, ( ~class_Orderings_Olinorder(_u2430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2430), _u2432), _u2431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2431), _u2432)) )).
% 27.68/27.93 cnf(matrix-1868, plain, ( ~class_Orderings_Olinorder(_u2433) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2433), _u2434), _u2435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2433), _u2435), _u2434)) )).
% 27.68/27.93 cnf(matrix-1869, plain, ( ~class_Orderings_Olinorder(_u2433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2433), _u2435), _u2434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2433), _u2434), _u2435)) )).
% 27.68/27.93 cnf(matrix-1870, plain, ( ~class_Orderings_Olinorder(_u2436) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2436), _u2437), _u2438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2436), _u2438), _u2437)) )).
% 27.68/27.93 cnf(matrix-1871, plain, ( ~class_Orderings_Oorder(_u2439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2439), _u2440), _u2441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2439), _u2440), _u2441)) )).
% 27.68/27.93 cnf(matrix-1872, plain, ( ~class_Orderings_Oorder(_u2439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2439), _u2440), _u2441)) | ( _u2440 != _u2441) )).
% 27.68/27.93 cnf(matrix-1873, plain, ( ~class_Orderings_Oorder(_u2439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2439), _u2440), _u2441)) | ( _u2440 = _u2441) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2439), _u2440), _u2441)) )).
% 27.68/27.93 cnf(matrix-1874, plain, ( ~class_Orderings_Opreorder(_u2442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2442), _u2443), _u2444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), _u2443), _u2444)) )).
% 27.68/27.93 cnf(matrix-1875, plain, ( ~class_Orderings_Opreorder(_u2442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2442), _u2443), _u2444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), _u2444), _u2443)) )).
% 27.68/27.93 cnf(matrix-1876, plain, ( ~class_Orderings_Opreorder(_u2442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), _u2443), _u2444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), _u2444), _u2443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2442), _u2443), _u2444)) )).
% 27.68/27.93 cnf(matrix-1877, plain, ( ~class_Orderings_Oorder(_u2445) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), _u2446), _u2447)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2445), _u2446), _u2447)) | ( _u2446 = _u2447) )).
% 27.68/27.93 cnf(matrix-1878, plain, ( ~class_Orderings_Oorder(_u2445) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), _u2446), _u2447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2445), _u2446), _u2447)) )).
% 27.68/27.93 cnf(matrix-1879, plain, ( ~class_Orderings_Oorder(_u2445) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), _u2446), _u2447)) | ( _u2446 != _u2447) )).
% 27.68/27.93 cnf(matrix-1880, plain, ( ~class_Orderings_Olinorder(_u2448) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2448), _u2449), _u2450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2448), _u2450), _u2449)) )).
% 27.68/27.93 cnf(matrix-1881, plain, ( ~class_Orderings_Olinorder(_u2451) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2451), _u2452), _u2453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2451), _u2453), _u2452)) )).
% 27.68/27.93 cnf(matrix-1882, plain, ( ~class_Orderings_Olinorder(_u2454) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2454), _u2455), _u2456)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2454), _u2455), _u2456)) | ( _u2455 = _u2456) )).
% 27.68/27.93 cnf(matrix-1883, plain, ( ~class_Orderings_Olinorder(_u2454) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2454), _u2455), _u2456)) | ( _u2455 != _u2456) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2454), _u2455), _u2456)) )).
% 27.68/27.93 cnf(matrix-1884, plain, ( ~class_Orderings_Oorder(_u2457) | ( _u2458 = _u2459) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2457), _u2458), _u2459)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2457), _u2458), _u2459)) )).
% 27.68/27.93 cnf(matrix-1885, plain, ( ~class_Orderings_Oorder(_u2460) | ( _u2461 = _u2462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2460), _u2462), _u2461)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2460), _u2462), _u2461)) )).
% 27.68/27.93 cnf(matrix-1886, plain, ( ~class_Orderings_Olinorder(_u2463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2463), _u2464), _u2465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2463), _u2465), _u2464)) )).
% 27.68/27.93 cnf(matrix-1887, plain, ( ~class_Orderings_Opreorder(_u2466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2466), _u2467), _u2468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2466), _u2467), _u2468)) )).
% 27.68/27.93 cnf(matrix-1888, plain, ( ~class_Orderings_Olinorder(_u2469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2469), _u2470), _u2471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2469), _u2470), _u2471)) | ( _u2470 = _u2471) )).
% 27.68/27.93 cnf(matrix-1889, plain, ( ~class_Orderings_Olinorder(_u2469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2469), _u2470), _u2471)) | ( _u2470 != _u2471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2469), _u2470), _u2471)) )).
% 27.68/27.93 cnf(matrix-1890, plain, ( ~class_Orderings_Oorder(_u2472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2472), _u2473), _u2474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2472), _u2473), _u2474)) | ( _u2473 = _u2474) )).
% 27.68/27.93 cnf(matrix-1891, plain, ( ~class_Orderings_Oorder(_u2475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2475), _u2476), _u2477)) | ( _u2476 = _u2477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2475), _u2476), _u2477)) )).
% 27.68/27.93 cnf(matrix-1892, plain, ( ~class_Orderings_Oorder(_u2478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2478), _u2479), _u2480)) | ( _u2480 = _u2479) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2478), _u2479), _u2480)) )).
% 27.68/27.93 cnf(matrix-1893, plain, ( ~class_Orderings_Opreorder(_u2481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2481), _u2482), _u2483)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2481), _u2483), _u2484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2481), _u2482), _u2484)) )).
% 27.68/27.93 cnf(matrix-1894, plain, ( ~class_Orderings_Oorder(_u2485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2485), _u2486), _u2487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2485), _u2488), _u2486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2485), _u2488), _u2487)) )).
% 27.68/27.93 cnf(matrix-1895, plain, ( ~class_Orderings_Opreorder(_u2489) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2489), _u2490), _u2491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2489), _u2491), _u2492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2489), _u2490), _u2492)) )).
% 27.68/27.93 cnf(matrix-1896, plain, ( ~class_Orderings_Oorder(_u2493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2494), _u2495)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2493), _u2496), _u2494)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2493), _u2496), _u2495)) )).
% 27.68/27.93 cnf(matrix-1897, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2497), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2497), _u2498), _u2499)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2497), _u2498), _u2500))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2497), _u2499), _u2500)) )).
% 27.68/27.93 cnf(matrix-1898, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2501), _u2502), _u2503)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2501), _u2504), _u2503))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), _u2502), _u2504)) )).
% 27.68/27.93 cnf(matrix-1899, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2505), _u2506), _u2507)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2505), _u2508), _u2509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2505), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2505), _u2506), _u2508)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2505), _u2507), _u2509))) )).
% 27.68/27.93 cnf(matrix-1900, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2510), _u2511), _u2512)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2510), _u2513), _u2511)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2510), _u2513), _u2512))) )).
% 27.68/27.93 cnf(matrix-1901, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2514) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2514), _u2515), _u2516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2514), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2514), _u2515), _u2517)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2514), _u2516), _u2517))) )).
% 27.68/27.93 cnf(matrix-1902, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2518), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2518), _u2519), _u2520)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2518), _u2519), _u2521))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2518), _u2520), _u2521)) )).
% 27.68/27.93 cnf(matrix-1903, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2518), _u2520), _u2521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2518), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2518), _u2519), _u2520)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2518), _u2519), _u2521))) )).
% 27.68/27.93 cnf(matrix-1904, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2522), _u2523), _u2524)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2522), _u2525), _u2524))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2522), _u2523), _u2525)) )).
% 27.68/27.93 cnf(matrix-1905, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2522), _u2523), _u2525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2522), _u2523), _u2524)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2522), _u2525), _u2524))) )).
% 27.68/27.93 cnf(matrix-1906, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2529), _u2531) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2533), _u2531)) | ( _u2529 = _u2533) | ( _u2531 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1907, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2530), _u2532) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2534), _u2532)) | ( _u2530 != _u2534) )).
% 27.68/27.93 cnf(matrix-1908, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2530), _u2532) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2534), _u2532)) | ( _u2532 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1909, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2538), _u2540) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2538), _u2542)) | ( _u2540 = _u2542) | ( _u2538 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1910, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2539), _u2541) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2539), _u2543)) | ( _u2541 != _u2543) )).
% 27.68/27.93 cnf(matrix-1911, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2539), _u2541) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2539), _u2543)) | ( _u2539 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1912, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2546), _u2548) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2546 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2548 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1913, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2547), _u2549) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2547 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1914, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2547), _u2549) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2549 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1915, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2550), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1916, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2551) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1917, plain, ( ( _u2557 = _u2559) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2555)), _u2557) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2555)), _u2559)) )).
% 27.68/27.93 cnf(matrix-1918, plain, ( ( _u2558 != _u2560) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2556)), _u2558) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2556)), _u2560)) )).
% 27.68/27.93 cnf(matrix-1919, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2562), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2562 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-1920, plain, ( ( _u2563 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2563), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-1921, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2564)) )).
% 27.68/27.93 cnf(matrix-1922, plain, ( ~class_Groups_Oordered__ab__group__add(_u2565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2565), _u2566), _u2567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2565), hAPP(c_Groups_Ouminus__class_Ouminus(_u2565), _u2567)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2565), _u2566))) )).
% 27.68/27.93 cnf(matrix-1923, plain, ( ~class_Groups_Oordered__ab__group__add(_u2568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2568), hAPP(c_Groups_Ouminus__class_Ouminus(_u2568), _u2569)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2568), _u2570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2568), _u2570), _u2569)) )).
% 27.68/27.93 cnf(matrix-1924, plain, ( ~class_Groups_Oordered__ab__group__add(_u2568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2568), _u2570), _u2569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2568), hAPP(c_Groups_Ouminus__class_Ouminus(_u2568), _u2569)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2568), _u2570))) )).
% 27.68/27.93 cnf(matrix-1925, plain, ( ~class_Groups_Oordered__ab__group__add(_u2571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2571), hAPP(c_Groups_Ouminus__class_Ouminus(_u2571), _u2572)), _u2573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2571), hAPP(c_Groups_Ouminus__class_Ouminus(_u2571), _u2573)), _u2572)) )).
% 27.68/27.93 cnf(matrix-1926, plain, ( ~class_Groups_Oordered__ab__group__add(_u2571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2571), hAPP(c_Groups_Ouminus__class_Ouminus(_u2571), _u2573)), _u2572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2571), hAPP(c_Groups_Ouminus__class_Ouminus(_u2571), _u2572)), _u2573)) )).
% 27.68/27.93 cnf(matrix-1927, plain, ( ~class_Groups_Oordered__ab__group__add(_u2574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2574), _u2575), hAPP(c_Groups_Ouminus__class_Ouminus(_u2574), _u2576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2574), _u2576), hAPP(c_Groups_Ouminus__class_Ouminus(_u2574), _u2575))) )).
% 27.68/27.93 cnf(matrix-1928, plain, ( ~class_Groups_Oordered__ab__group__add(_u2574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2574), _u2576), hAPP(c_Groups_Ouminus__class_Ouminus(_u2574), _u2575))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2574), _u2575), hAPP(c_Groups_Ouminus__class_Ouminus(_u2574), _u2576))) )).
% 27.68/27.93 cnf(matrix-1929, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2578), _u2579)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2577), _u2578)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2577), _u2579))) )).
% 27.68/27.93 cnf(matrix-1930, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2580), _u2581)), _u2582) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2580), _u2582)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2581), _u2582))) )).
% 27.68/27.93 cnf(matrix-1931, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2583)), _u2583)) )).
% 27.68/27.93 cnf(matrix-1932, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2586), _u2588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2588)), _u2586)) )).
% 27.68/27.93 cnf(matrix-1933, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2589)), _u2587)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2587), _u2589)) )).
% 27.68/27.93 cnf(matrix-1934, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2592), hAPP(c_Nat_OSuc, _u2594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2592), _u2594)) | ( _u2592 = hAPP(c_Nat_OSuc, _u2594)) )).
% 27.68/27.93 cnf(matrix-1935, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2593), hAPP(c_Nat_OSuc, _u2595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2593), _u2595)) )).
% 27.68/27.93 cnf(matrix-1936, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2593), hAPP(c_Nat_OSuc, _u2595))) | ( _u2593 != hAPP(c_Nat_OSuc, _u2595)) )).
% 27.68/27.93 cnf(matrix-1937, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2598)), hAPP(c_Nat_OSuc, _u2600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2598), _u2600)) )).
% 27.68/27.93 cnf(matrix-1938, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2599), _u2601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2599)), hAPP(c_Nat_OSuc, _u2601))) )).
% 27.68/27.93 cnf(matrix-1939, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2602), _u2603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2602), hAPP(c_Nat_OSuc, _u2603))) )).
% 27.68/27.93 cnf(matrix-1940, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2604), hAPP(c_Nat_OSuc, _u2605))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2604), _u2605)) | ( _u2604 = hAPP(c_Nat_OSuc, _u2605)) )).
% 27.68/27.93 cnf(matrix-1941, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2606)), _u2607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2606), _u2607)) )).
% 27.68/27.93 cnf(matrix-1942, 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))) )).
% 27.68/27.93 cnf(matrix-1943, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2608), _u2609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2608), _u2609)) )).
% 27.68/27.93 cnf(matrix-1944, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2610), _u2611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2610), _u2611)) )).
% 27.68/27.93 cnf(matrix-1945, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2610), _u2611)) | ( _u2610 != _u2611) )).
% 27.68/27.93 cnf(matrix-1946, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2612), _u2613)) | ( _u2612 = _u2613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2612), _u2613)) )).
% 27.68/27.93 cnf(matrix-1947, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2614), _u2615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2614), _u2615)) )).
% 27.68/27.93 cnf(matrix-1948, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2618), _u2620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2618), _u2620)) | ( _u2618 = _u2620) )).
% 27.68/27.93 cnf(matrix-1949, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2619), _u2621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2619), _u2621)) )).
% 27.68/27.93 cnf(matrix-1950, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2619), _u2621)) | ( _u2619 != _u2621) )).
% 27.68/27.93 cnf(matrix-1951, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2624), _u2626)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2624), _u2626)) )).
% 27.68/27.93 cnf(matrix-1952, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2624), _u2626)) | ( _u2624 != _u2626) )).
% 27.68/27.93 cnf(matrix-1953, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2625), _u2627)) | ( _u2625 = _u2627) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2625), _u2627)) )).
% 27.68/27.93 cnf(matrix-1954, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2628), _u2629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2629), _u2630))) )).
% 27.68/27.93 cnf(matrix-1955, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2631), _u2632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2631), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2633), _u2632))) )).
% 27.68/27.93 cnf(matrix-1956, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2634), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2635), _u2634))) )).
% 27.68/27.93 cnf(matrix-1957, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2636), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2636), _u2637))) )).
% 27.68/27.93 cnf(matrix-1958, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2642), _u2644)) | ( _u2644 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2642), skolem43(_u2644, _u2642))) )).
% 27.68/27.93 cnf(matrix-1959, plain, ( ( _u2645 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2643), _u2639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2643), _u2645)) )).
% 27.68/27.93 cnf(matrix-1960, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2651), _u2653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2649), _u2651)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2649), _u2653))) )).
% 27.68/27.93 cnf(matrix-1961, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2652), _u2654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2650), _u2652)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2650), _u2654))) )).
% 27.68/27.93 cnf(matrix-1962, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2655), _u2656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2656), _u2657))) )).
% 27.68/27.93 cnf(matrix-1963, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2658), _u2659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2658), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2660), _u2659))) )).
% 27.68/27.93 cnf(matrix-1964, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2661), _u2662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2661), _u2663)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2662), _u2663))) )).
% 27.68/27.93 cnf(matrix-1965, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2664), _u2665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2666), _u2667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2664), _u2666)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2665), _u2667))) )).
% 27.68/27.93 cnf(matrix-1966, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2669), _u2670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2668), _u2669)), _u2670)) )).
% 27.68/27.93 cnf(matrix-1967, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2671), _u2672)), _u2673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2671), _u2673)) )).
% 27.68/27.93 cnf(matrix-1968, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2674), _u2675)), _u2676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2674), _u2676)) )).
% 27.68/27.93 cnf(matrix-1969, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2674), _u2675)), _u2676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2675), _u2676)) )).
% 27.68/27.93 cnf(matrix-1970, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2679), _u2681)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2679), _u2681)) )).
% 27.68/27.93 cnf(matrix-1971, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2679), _u2681)) | ( _u2679 != _u2681) )).
% 27.68/27.93 cnf(matrix-1972, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2680), _u2682)) | ( _u2680 = _u2682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2680), _u2682)) )).
% 27.68/27.93 cnf(matrix-1973, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2683), _u2684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2685), _u2683)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2685), _u2684))) )).
% 27.68/27.93 cnf(matrix-1974, plain, ( ~c_Natural_Oevaln(_u2686, _u2687, _u2688, _u2689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2688), _u2690)) | c_Natural_Oevaln(_u2686, _u2687, _u2690, _u2689) )).
% 27.68/27.93 cnf(matrix-1975, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2691)), hAPP(c_Int_Onat, _u2692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2691), _u2692)) )).
% 27.68/27.93 cnf(matrix-1976, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2691), _u2692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2691)), hAPP(c_Int_Onat, _u2692))) )).
% 27.68/27.93 cnf(matrix-1977, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2691)), hAPP(c_Int_Onat, _u2692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2691), _u2692)) )).
% 27.68/27.93 cnf(matrix-1978, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2691), _u2692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2691)), hAPP(c_Int_Onat, _u2692))) )).
% 27.68/27.93 cnf(matrix-1979, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2693)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2693), _u2694)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2693)), hAPP(c_Int_Onat, _u2694))) )).
% 27.68/27.93 cnf(matrix-1980, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2696)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2695)), hAPP(c_Int_Onat, _u2696)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), _u2696))) )).
% 27.68/27.93 cnf(matrix-1981, plain, ( ~class_Rings_Olinordered__idom(_u2697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2697), c_Groups_Ozero__class_Ozero(_u2697)), hAPP(c_Int_Oring__1__class_Oof__int(_u2697), _u2698))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2698)) )).
% 27.68/27.93 cnf(matrix-1982, plain, ( ~class_Rings_Olinordered__idom(_u2697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2697), c_Groups_Ozero__class_Ozero(_u2697)), hAPP(c_Int_Oring__1__class_Oof__int(_u2697), _u2698))) )).
% 27.68/27.93 cnf(matrix-1983, plain, ( ~class_Rings_Olinordered__idom(_u2699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2699), hAPP(c_Int_Oring__1__class_Oof__int(_u2699), _u2700)), c_Groups_Ozero__class_Ozero(_u2699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2700), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-1984, plain, ( ~class_Rings_Olinordered__idom(_u2699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2700), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2699), hAPP(c_Int_Oring__1__class_Oof__int(_u2699), _u2700)), c_Groups_Ozero__class_Ozero(_u2699))) )).
% 27.68/27.93 cnf(matrix-1985, plain, ( ~class_Rings_Olinordered__idom(_u2701) | ( c_Groups_Osgn__class_Osgn(_u2701, _u2702) != c_Groups_Ozero__class_Ozero(_u2701)) | ( _u2702 = c_Groups_Ozero__class_Ozero(_u2701)) )).
% 27.68/27.93 cnf(matrix-1986, plain, ( ~class_Rings_Olinordered__idom(_u2701) | ( _u2702 != c_Groups_Ozero__class_Ozero(_u2701)) | ( c_Groups_Osgn__class_Osgn(_u2701, _u2702) = c_Groups_Ozero__class_Ozero(_u2701)) )).
% 27.68/27.93 cnf(matrix-1987, plain, ( ~class_Groups_Osgn__if(_u2703) | ( c_Groups_Osgn__class_Osgn(_u2703, c_Groups_Ozero__class_Ozero(_u2703)) = c_Groups_Ozero__class_Ozero(_u2703)) )).
% 27.68/27.93 cnf(matrix-1988, plain, ( ~class_Rings_Olinordered__idom(_u2704) | ( c_Groups_Osgn__class_Osgn(_u2704, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2704), _u2705), _u2706)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2704), c_Groups_Osgn__class_Osgn(_u2704, _u2705)), c_Groups_Osgn__class_Osgn(_u2704, _u2706))) )).
% 27.68/27.93 cnf(matrix-1989, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2707), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2707), _u2708)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2707))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2708)))) )).
% 27.68/27.93 cnf(matrix-1990, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2709), c_Groups_Ozero__class_Ozero(_u2709)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2709), _u2710), _u2710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2709), c_Groups_Ozero__class_Ozero(_u2709)), _u2710)) )).
% 27.68/27.93 cnf(matrix-1991, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2709), c_Groups_Ozero__class_Ozero(_u2709)), _u2710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2709), c_Groups_Ozero__class_Ozero(_u2709)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2709), _u2710), _u2710))) )).
% 27.68/27.93 cnf(matrix-1992, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2711), _u2712), _u2712)), c_Groups_Ozero__class_Ozero(_u2711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), _u2712), c_Groups_Ozero__class_Ozero(_u2711))) )).
% 27.68/27.93 cnf(matrix-1993, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), _u2712), c_Groups_Ozero__class_Ozero(_u2711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2711), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2711), _u2712), _u2712)), c_Groups_Ozero__class_Ozero(_u2711))) )).
% 27.68/27.93 cnf(matrix-1994, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2713) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2713), c_Groups_Ozero__class_Ozero(_u2713)), _u2714)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2713), c_Groups_Ozero__class_Ozero(_u2713)), _u2715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2713), c_Groups_Ozero__class_Ozero(_u2713)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2713), _u2714), _u2715))) )).
% 27.68/27.93 cnf(matrix-1995, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2716) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2716), c_Groups_Ozero__class_Ozero(_u2716)), _u2717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2716), c_Groups_Ozero__class_Ozero(_u2716)), _u2718)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2716), _u2717), _u2718) != c_Groups_Ozero__class_Ozero(_u2716)) | ( _u2717 = c_Groups_Ozero__class_Ozero(_u2716)) )).
% 27.68/27.93 cnf(matrix-1996, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2716) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2716), c_Groups_Ozero__class_Ozero(_u2716)), _u2717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2716), c_Groups_Ozero__class_Ozero(_u2716)), _u2718)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2716), _u2717), _u2718) != c_Groups_Ozero__class_Ozero(_u2716)) | ( _u2718 = c_Groups_Ozero__class_Ozero(_u2716)) )).
% 27.68/27.93 cnf(matrix-1997, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2716) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2716), c_Groups_Ozero__class_Ozero(_u2716)), _u2717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2716), c_Groups_Ozero__class_Ozero(_u2716)), _u2718)) | ( _u2717 != c_Groups_Ozero__class_Ozero(_u2716)) | ( _u2718 != c_Groups_Ozero__class_Ozero(_u2716)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2716), _u2717), _u2718) = c_Groups_Ozero__class_Ozero(_u2716)) )).
% 27.68/27.93 cnf(matrix-1998, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2719) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2719), c_Groups_Ozero__class_Ozero(_u2719)), _u2720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2719), _u2721), _u2722)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2719), _u2721), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2719), _u2720), _u2722))) )).
% 27.68/27.93 cnf(matrix-1999, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2723), c_Groups_Ozero__class_Ozero(_u2723)), _u2724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2723), _u2725), _u2726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2723), _u2725), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2723), _u2726), _u2724))) )).
% 27.68/27.93 cnf(matrix-2000, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2727), _u2728), c_Groups_Ozero__class_Ozero(_u2727))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2727), _u2729), c_Groups_Ozero__class_Ozero(_u2727))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2727), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2727), _u2728), _u2729)), c_Groups_Ozero__class_Ozero(_u2727))) )).
% 27.68/27.93 cnf(matrix-2001, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2731), _u2732)), c_Groups_Ozero__class_Ozero(_u2730))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), c_Groups_Ozero__class_Ozero(_u2730)), _u2731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), _u2732), c_Groups_Ozero__class_Ozero(_u2730))) )).
% 27.68/27.93 cnf(matrix-2002, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2731), _u2732)), c_Groups_Ozero__class_Ozero(_u2730))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), _u2731), c_Groups_Ozero__class_Ozero(_u2730))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), c_Groups_Ozero__class_Ozero(_u2730)), _u2732)) )).
% 27.68/27.93 cnf(matrix-2003, plain, ( ~class_Rings_Oordered__ring(_u2733) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), c_Groups_Ozero__class_Ozero(_u2733)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2733), _u2734), _u2735))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), c_Groups_Ozero__class_Ozero(_u2733)), _u2734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), c_Groups_Ozero__class_Ozero(_u2733)), _u2735)) )).
% 27.68/27.93 cnf(matrix-2004, plain, ( ~class_Rings_Oordered__ring(_u2733) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), c_Groups_Ozero__class_Ozero(_u2733)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2733), _u2734), _u2735))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), _u2734), c_Groups_Ozero__class_Ozero(_u2733))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), _u2735), c_Groups_Ozero__class_Ozero(_u2733))) )).
% 27.68/27.93 cnf(matrix-2005, plain, ( ~class_Rings_Oordered__semiring(_u2736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2737), _u2738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2739), _u2740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), c_Groups_Ozero__class_Ozero(_u2736)), _u2738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), c_Groups_Ozero__class_Ozero(_u2736)), _u2739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2736), _u2737), _u2739)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2736), _u2738), _u2740))) )).
% 27.68/27.93 cnf(matrix-2006, plain, ( ~class_Rings_Oordered__semiring(_u2741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2741), _u2742), _u2743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2741), _u2744), _u2745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2741), c_Groups_Ozero__class_Ozero(_u2741)), _u2742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2741), c_Groups_Ozero__class_Ozero(_u2741)), _u2744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2741), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2741), _u2742), _u2744)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2741), _u2743), _u2745))) )).
% 27.68/27.93 cnf(matrix-2007, plain, ( ~class_Rings_Oordered__ring(_u2746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2746), _u2747), _u2748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2746), _u2749), c_Groups_Ozero__class_Ozero(_u2746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2746), _u2749), _u2748)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2746), _u2749), _u2747))) )).
% 27.68/27.93 cnf(matrix-2008, plain, ( ~class_Rings_Oordered__ring(_u2750) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2750), _u2751), _u2752)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2750), _u2753), c_Groups_Ozero__class_Ozero(_u2750))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2750), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2750), _u2752), _u2753)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2750), _u2751), _u2753))) )).
% 27.68/27.93 cnf(matrix-2009, plain, ( ~class_Rings_Oordered__comm__semiring(_u2754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2754), _u2755), _u2756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2754), c_Groups_Ozero__class_Ozero(_u2754)), _u2757)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2754), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2754), _u2757), _u2755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2754), _u2757), _u2756))) )).
% 27.68/27.93 cnf(matrix-2010, plain, ( ~class_Rings_Oordered__semiring(_u2758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2758), _u2759), _u2760)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2758), c_Groups_Ozero__class_Ozero(_u2758)), _u2761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2758), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2758), _u2761), _u2759)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2758), _u2761), _u2760))) )).
% 27.68/27.93 cnf(matrix-2011, plain, ( ~class_Rings_Oordered__semiring(_u2762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2762), _u2763), _u2764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2762), c_Groups_Ozero__class_Ozero(_u2762)), _u2765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2762), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2762), _u2763), _u2765)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2762), _u2764), _u2765))) )).
% 27.68/27.93 cnf(matrix-2012, plain, ( ~class_Rings_Oordered__ring(_u2766) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2766), _u2767), c_Groups_Ozero__class_Ozero(_u2766))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2766), _u2768), c_Groups_Ozero__class_Ozero(_u2766))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2766), c_Groups_Ozero__class_Ozero(_u2766)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2766), _u2767), _u2768))) )).
% 27.68/27.93 cnf(matrix-2013, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2769), _u2770), c_Groups_Ozero__class_Ozero(_u2769))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2769), c_Groups_Ozero__class_Ozero(_u2769)), _u2771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2769), _u2770), _u2771)), c_Groups_Ozero__class_Ozero(_u2769))) )).
% 27.68/27.93 cnf(matrix-2014, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2772) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2772), c_Groups_Ozero__class_Ozero(_u2772)), _u2773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2772), _u2774), c_Groups_Ozero__class_Ozero(_u2772))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2772), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2772), _u2774), _u2773)), c_Groups_Ozero__class_Ozero(_u2772))) )).
% 27.68/27.93 cnf(matrix-2015, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2775) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2775), c_Groups_Ozero__class_Ozero(_u2775)), _u2776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2775), _u2777), c_Groups_Ozero__class_Ozero(_u2775))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2775), _u2776), _u2777)), c_Groups_Ozero__class_Ozero(_u2775))) )).
% 27.68/27.93 cnf(matrix-2016, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2778), c_Groups_Ozero__class_Ozero(_u2778)), _u2779)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2778), c_Groups_Ozero__class_Ozero(_u2778)), _u2780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2778), c_Groups_Ozero__class_Ozero(_u2778)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2778), _u2779), _u2780))) )).
% 27.68/27.93 cnf(matrix-2017, plain, ( ~class_Rings_Olinordered__ring__strict(_u2781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2781), _u2782), _u2783)), c_Groups_Ozero__class_Ozero(_u2781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), c_Groups_Ozero__class_Ozero(_u2781)), _u2782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2782), c_Groups_Ozero__class_Ozero(_u2781))) )).
% 27.68/27.93 cnf(matrix-2018, plain, ( ~class_Rings_Olinordered__ring__strict(_u2781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2781), _u2782), _u2783)), c_Groups_Ozero__class_Ozero(_u2781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), c_Groups_Ozero__class_Ozero(_u2781)), _u2782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), c_Groups_Ozero__class_Ozero(_u2781)), _u2783)) )).
% 27.68/27.93 cnf(matrix-2019, plain, ( ~class_Rings_Olinordered__ring__strict(_u2781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2781), _u2782), _u2783)), c_Groups_Ozero__class_Ozero(_u2781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2783), c_Groups_Ozero__class_Ozero(_u2781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2782), c_Groups_Ozero__class_Ozero(_u2781))) )).
% 27.68/27.93 cnf(matrix-2020, plain, ( ~class_Rings_Olinordered__ring__strict(_u2781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2781), _u2782), _u2783)), c_Groups_Ozero__class_Ozero(_u2781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2783), c_Groups_Ozero__class_Ozero(_u2781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), c_Groups_Ozero__class_Ozero(_u2781)), _u2783)) )).
% 27.68/27.93 cnf(matrix-2021, plain, ( ~class_Rings_Olinordered__ring__strict(_u2781) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2781), _u2782), _u2783)), c_Groups_Ozero__class_Ozero(_u2781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), c_Groups_Ozero__class_Ozero(_u2781)), _u2782)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2783), c_Groups_Ozero__class_Ozero(_u2781))) )).
% 27.68/27.93 cnf(matrix-2022, plain, ( ~class_Rings_Olinordered__ring__strict(_u2781) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2781), _u2782), _u2783)), c_Groups_Ozero__class_Ozero(_u2781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2782), c_Groups_Ozero__class_Ozero(_u2781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), c_Groups_Ozero__class_Ozero(_u2781)), _u2783)) )).
% 27.68/27.93 cnf(matrix-2023, plain, ( ~class_Rings_Olinordered__ring__strict(_u2784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2784), _u2785), _u2786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), _u2785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), _u2785), c_Groups_Ozero__class_Ozero(_u2784))) )).
% 27.68/27.93 cnf(matrix-2024, plain, ( ~class_Rings_Olinordered__ring__strict(_u2784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2784), _u2785), _u2786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), _u2785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), _u2786), c_Groups_Ozero__class_Ozero(_u2784))) )).
% 27.68/27.93 cnf(matrix-2025, plain, ( ~class_Rings_Olinordered__ring__strict(_u2784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2784), _u2785), _u2786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), _u2786)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), _u2785), c_Groups_Ozero__class_Ozero(_u2784))) )).
% 27.68/27.93 cnf(matrix-2026, plain, ( ~class_Rings_Olinordered__ring__strict(_u2784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2784), _u2785), _u2786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), _u2786)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), _u2786), c_Groups_Ozero__class_Ozero(_u2784))) )).
% 27.68/27.93 cnf(matrix-2027, plain, ( ~class_Rings_Olinordered__ring__strict(_u2784) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2784), _u2785), _u2786))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), _u2785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), _u2786)) )).
% 27.68/27.93 cnf(matrix-2028, plain, ( ~class_Rings_Olinordered__ring__strict(_u2784) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), c_Groups_Ozero__class_Ozero(_u2784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2784), _u2785), _u2786))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), _u2785), c_Groups_Ozero__class_Ozero(_u2784))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2784), _u2786), c_Groups_Ozero__class_Ozero(_u2784))) )).
% 27.68/27.93 cnf(matrix-2029, plain, ( ~class_Rings_Olinordered__ring(_u2787) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2787), c_Groups_Ozero__class_Ozero(_u2787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2787), _u2788), _u2788))) )).
% 27.68/27.93 cnf(matrix-2030, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2789), _u2790), _u2791)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2789), _u2792), _u2793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2789), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2789), _u2790), _u2792)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2789), _u2791), _u2793))) )).
% 27.68/27.93 cnf(matrix-2031, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2794), _u2795), _u2796)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2794), _u2797), _u2798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2794), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2794), _u2795), _u2797)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2794), _u2796), _u2798))) )).
% 27.68/27.93 cnf(matrix-2032, plain, ( ~class_Rings_Olinordered__semidom(_u2799) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2799), c_Groups_Ozero__class_Ozero(_u2799)), c_Groups_Oone__class_Oone(_u2799))) )).
% 27.68/27.93 cnf(matrix-2033, plain, ( ~class_Rings_Olinordered__semidom(_u2800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2800), c_Groups_Oone__class_Oone(_u2800)), c_Groups_Ozero__class_Ozero(_u2800))) )).
% 27.68/27.93 cnf(matrix-2034, plain, ( ~class_Groups_Oordered__ab__group__add(_u2801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2801), c_Groups_Ozero__class_Ozero(_u2801)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2801), _u2802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2801), _u2802), c_Groups_Ozero__class_Ozero(_u2801))) )).
% 27.68/27.93 cnf(matrix-2035, plain, ( ~class_Groups_Oordered__ab__group__add(_u2801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2801), _u2802), c_Groups_Ozero__class_Ozero(_u2801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2801), c_Groups_Ozero__class_Ozero(_u2801)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2801), _u2802))) )).
% 27.68/27.93 cnf(matrix-2036, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2803), _u2804), hAPP(c_Groups_Ouminus__class_Ouminus(_u2803), _u2804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2803), _u2804), c_Groups_Ozero__class_Ozero(_u2803))) )).
% 27.68/27.93 cnf(matrix-2037, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2803), _u2804), c_Groups_Ozero__class_Ozero(_u2803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2803), _u2804), hAPP(c_Groups_Ouminus__class_Ouminus(_u2803), _u2804))) )).
% 27.68/27.93 cnf(matrix-2038, plain, ( ~class_Groups_Oordered__ab__group__add(_u2805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2805), hAPP(c_Groups_Ouminus__class_Ouminus(_u2805), _u2806)), c_Groups_Ozero__class_Ozero(_u2805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2805), c_Groups_Ozero__class_Ozero(_u2805)), _u2806)) )).
% 27.68/27.93 cnf(matrix-2039, plain, ( ~class_Groups_Oordered__ab__group__add(_u2805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2805), c_Groups_Ozero__class_Ozero(_u2805)), _u2806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2805), hAPP(c_Groups_Ouminus__class_Ouminus(_u2805), _u2806)), c_Groups_Ozero__class_Ozero(_u2805))) )).
% 27.68/27.93 cnf(matrix-2040, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2807), hAPP(c_Groups_Ouminus__class_Ouminus(_u2807), _u2808)), _u2808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2807), c_Groups_Ozero__class_Ozero(_u2807)), _u2808)) )).
% 27.68/27.93 cnf(matrix-2041, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2807), c_Groups_Ozero__class_Ozero(_u2807)), _u2808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2807), hAPP(c_Groups_Ouminus__class_Ouminus(_u2807), _u2808)), _u2808)) )).
% 27.68/27.93 cnf(matrix-2042, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2811), _u2813) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2811 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-2043, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2811), _u2813) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2813 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-2044, plain, ( ( _u2812 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2814 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2812), _u2814) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-2045, plain, ( ~class_Rings_Olinordered__semidom(_u2815) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2815), c_Groups_Ozero__class_Ozero(_u2815)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2815), _u2816))) )).
% 27.68/27.93 cnf(matrix-2046, plain, ( ~class_Rings_Olinordered__semidom(_u2817) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2817), c_Groups_Ozero__class_Ozero(_u2817)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2817), _u2818))) )).
% 27.68/27.93 cnf(matrix-2047, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2819), _u2820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2821), _u2819)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2821), _u2820))) )).
% 27.68/27.93 cnf(matrix-2048, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2822), _u2823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2824)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2822), _u2824)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2823), _u2824))) )).
% 27.68/27.93 cnf(matrix-2049, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2828), _u2830)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2832), _u2830))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2830)) )).
% 27.68/27.93 cnf(matrix-2050, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2828), _u2830)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2832), _u2830))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2828), _u2832)) )).
% 27.68/27.93 cnf(matrix-2051, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2829), _u2833)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2829), _u2831)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2833), _u2831))) )).
% 27.68/27.93 cnf(matrix-2052, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2837), _u2839)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2837), _u2841))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2837)) )).
% 27.68/27.93 cnf(matrix-2053, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2837), _u2839)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2837), _u2841))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2839), _u2841)) )).
% 27.68/27.93 cnf(matrix-2054, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2840), _u2842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2838), _u2840)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2838), _u2842))) )).
% 27.68/27.93 cnf(matrix-2055, 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), _u2845), _u2847))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2845)) )).
% 27.68/27.93 cnf(matrix-2056, 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), _u2845), _u2847))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2847)) )).
% 27.68/27.93 cnf(matrix-2057, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2846)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2848)) | 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), _u2846), _u2848))) )).
% 27.68/27.93 cnf(matrix-2058, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2854), _u2856)) | ~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, _u2852)), _u2854)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2852)), _u2856))) )).
% 27.68/27.93 cnf(matrix-2059, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2855), _u2857)) | 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, _u2853)), _u2855)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2853)), _u2857))) )).
% 27.68/27.93 cnf(matrix-2060, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2858)), _u2859) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2859), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2858), _u2859))) )).
% 27.68/27.93 cnf(matrix-2061, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2860), hAPP(c_Nat_OSuc, _u2861)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2860), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2860), _u2861))) )).
% 27.68/27.93 cnf(matrix-2062, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-2063, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2862)), _u2863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2862), _u2863)) )).
% 27.68/27.93 cnf(matrix-2064, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2864), _u2865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2865), hAPP(c_Nat_OSuc, _u2864))) | ( _u2865 = _u2864) )).
% 27.68/27.93 cnf(matrix-2065, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2864), _u2865)) | ( _u2865 != _u2864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2865), hAPP(c_Nat_OSuc, _u2864))) )).
% 27.68/27.93 cnf(matrix-2066, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2866), _u2867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2866)), _u2867)) )).
% 27.68/27.93 cnf(matrix-2067, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2868), _u2869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2868), hAPP(c_Nat_OSuc, _u2869))) )).
% 27.68/27.93 cnf(matrix-2068, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2872)), _u2874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2872), _u2874)) )).
% 27.68/27.93 cnf(matrix-2069, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2873), _u2875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2873)), _u2875)) )).
% 27.68/27.93 cnf(matrix-2070, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2878), hAPP(c_Nat_OSuc, _u2880))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2878), _u2880)) )).
% 27.68/27.93 cnf(matrix-2071, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2879), _u2881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2879), hAPP(c_Nat_OSuc, _u2881))) )).
% 27.68/27.93 cnf(matrix-2072, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2884), _u2886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2884)), _u2886)) )).
% 27.68/27.93 cnf(matrix-2073, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2885)), _u2887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2885), _u2887)) )).
% 27.68/27.93 cnf(matrix-2074, plain, ( ( hAPP(c_Nat_OSuc, _u2888) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2888), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-2075, plain, ( ( hAPP(c_Nat_OSuc, _u2889) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2889)) )).
% 27.68/27.93 cnf(matrix-2076, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2891)) | 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), _u2890), _u2891))) )).
% 27.68/27.93 cnf(matrix-2077, 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), _u2892))) )).
% 27.68/27.93 cnf(matrix-2078, 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), _u2893))) )).
% 27.68/27.93 cnf(matrix-2079, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2894)) | ~hBOOL(hAPP(_u2899, _u2894)) | hBOOL(hAPP(_u2899, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem44(_u2899)))) )).
% 27.68/27.93 cnf(matrix-2080, plain, ( ~hBOOL(hAPP(_u2900, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2896))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem45(_u2900))) )).
% 27.68/27.93 cnf(matrix-2081, plain, ( ~hBOOL(hAPP(_u2900, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2896))) | hBOOL(hAPP(_u2900, skolem45(_u2900))) )).
% 27.68/27.93 cnf(matrix-2082, plain, ( hBOOL(hAPP(_u2906, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2902))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem46(_u2906))) )).
% 27.68/27.93 cnf(matrix-2083, plain, ( hBOOL(hAPP(_u2906, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2902))) | ~hBOOL(hAPP(_u2906, skolem46(_u2906))) )).
% 27.68/27.93 cnf(matrix-2084, plain, ( ~hBOOL(hAPP(_u2907, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem47(_u2907)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2904)) | hBOOL(hAPP(_u2907, _u2904)) )).
% 27.68/27.93 cnf(matrix-2085, 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))) )).
% 27.68/27.93 cnf(matrix-2086, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2909)) | ( hAPP(c_Int_Onat, _u2908) != hAPP(c_Int_Onat, _u2909)) | ( _u2908 = _u2909) )).
% 27.68/27.93 cnf(matrix-2087, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2909)) | ( _u2908 != _u2909) | ( hAPP(c_Int_Onat, _u2908) = hAPP(c_Int_Onat, _u2909)) )).
% 27.68/27.93 cnf(matrix-2088, plain, ( ~hBOOL(hAPP(_u2915, _u2910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem48(_u2915))) )).
% 27.68/27.93 cnf(matrix-2089, plain, ( ~hBOOL(hAPP(_u2915, _u2910)) | hBOOL(hAPP(_u2915, hAPP(c_Int_Onat, skolem48(_u2915)))) )).
% 27.68/27.93 cnf(matrix-2090, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2912)) | ~hBOOL(hAPP(_u2916, hAPP(c_Int_Onat, _u2912))) | hBOOL(hAPP(_u2916, skolem49(_u2916))) )).
% 27.68/27.93 cnf(matrix-2091, plain, ( ~hBOOL(hAPP(_u2922, skolem50(_u2922))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2918)) | hBOOL(hAPP(_u2922, hAPP(c_Int_Onat, _u2918))) )).
% 27.68/27.93 cnf(matrix-2092, plain, ( hBOOL(hAPP(_u2923, _u2920)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem51(_u2923))) )).
% 27.68/27.93 cnf(matrix-2093, plain, ( hBOOL(hAPP(_u2923, _u2920)) | ~hBOOL(hAPP(_u2923, hAPP(c_Int_Onat, skolem51(_u2923)))) )).
% 27.68/27.93 cnf(matrix-2094, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2925)) | ( hAPP(c_Int_Onat, _u2924) != hAPP(c_Int_Onat, _u2925)) | ( _u2924 = _u2925) )).
% 27.68/27.93 cnf(matrix-2095, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2925)) | ( _u2924 != _u2925) | ( hAPP(c_Int_Onat, _u2924) = hAPP(c_Int_Onat, _u2925)) )).
% 27.68/27.93 cnf(matrix-2096, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2926), _u2927)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2928), _u2929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2926), _u2928)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2927), _u2929))) )).
% 27.68/27.93 cnf(matrix-2097, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2930)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2931)) | 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), _u2930), _u2931))) )).
% 27.68/27.93 cnf(matrix-2098, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2932), _u2933)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2932)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2933))) )).
% 27.68/27.93 cnf(matrix-2099, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2934)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2935)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2934), _u2935))) )).
% 27.68/27.93 cnf(matrix-2100, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2936)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2937)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2936), _u2937))) )).
% 27.68/27.93 cnf(matrix-2101, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2942), _u2944)) | ( _u2944 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2942), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem52(_u2944, _u2942)))) )).
% 27.68/27.93 cnf(matrix-2102, plain, ( ( _u2945 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2943), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2943), _u2945)) )).
% 27.68/27.93 cnf(matrix-2103, 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)) )).
% 27.68/27.93 cnf(matrix-2104, 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))) )).
% 27.68/27.93 cnf(matrix-2105, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2106, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2946), _u2947), c_Groups_Ozero__class_Ozero(_u2946))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2946), _u2948), c_Groups_Ozero__class_Ozero(_u2946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2946), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2946), _u2947), _u2948)), c_Groups_Ozero__class_Ozero(_u2946))) )).
% 27.68/27.93 cnf(matrix-2107, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2949), _u2950), c_Groups_Ozero__class_Ozero(_u2949))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2949), _u2951), c_Groups_Ozero__class_Ozero(_u2949))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2949), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2949), _u2950), _u2951)), c_Groups_Ozero__class_Ozero(_u2949))) )).
% 27.68/27.93 cnf(matrix-2108, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2952), c_Groups_Ozero__class_Ozero(_u2952)), _u2953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2952), _u2954), _u2955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2952), _u2954), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2952), _u2953), _u2955))) )).
% 27.68/27.93 cnf(matrix-2109, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2956), c_Groups_Ozero__class_Ozero(_u2956)), _u2957)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2956), _u2958), _u2959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2956), _u2958), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2956), _u2957), _u2959))) )).
% 27.68/27.93 cnf(matrix-2110, plain, ( ~class_Groups_Oordered__comm__monoid__add(_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(_u2960), c_Groups_Ozero__class_Ozero(_u2960)), _u2962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2960), c_Groups_Ozero__class_Ozero(_u2960)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2960), _u2961), _u2962))) )).
% 27.68/27.93 cnf(matrix-2111, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2963), c_Groups_Ozero__class_Ozero(_u2963)), _u2964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2963), c_Groups_Ozero__class_Ozero(_u2963)), _u2965)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2963), c_Groups_Ozero__class_Ozero(_u2963)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2963), _u2964), _u2965))) )).
% 27.68/27.93 cnf(matrix-2112, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2966) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2966), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2966), _u2967), _u2968)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2966), _u2967), _u2969))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2966), c_Groups_Ozero__class_Ozero(_u2966)), _u2967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2966), _u2968), _u2969)) )).
% 27.68/27.93 cnf(matrix-2113, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2970) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2970), _u2971), _u2972)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2970), _u2973), _u2972))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2970), c_Groups_Ozero__class_Ozero(_u2970)), _u2972)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2970), _u2971), _u2973)) )).
% 27.68/27.93 cnf(matrix-2114, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2974) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2974), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2974), _u2975), _u2976)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2974), _u2975), _u2977))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2974), c_Groups_Ozero__class_Ozero(_u2974)), _u2975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2974), _u2976), _u2977)) )).
% 27.68/27.93 cnf(matrix-2115, plain, ( ~class_Rings_Olinordered__semiring(_u2978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2978), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2978), _u2979), _u2980)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2978), _u2979), _u2981))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2978), c_Groups_Ozero__class_Ozero(_u2978)), _u2979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2978), _u2980), _u2981)) )).
% 27.68/27.93 cnf(matrix-2116, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2982) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2982), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2982), _u2983), _u2984)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2982), _u2985), _u2984))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2982), c_Groups_Ozero__class_Ozero(_u2982)), _u2984)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2982), _u2983), _u2985)) )).
% 27.68/27.93 cnf(matrix-2117, plain, ( ~class_Rings_Olinordered__semiring(_u2986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2986), _u2987), _u2988)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2986), _u2989), _u2988))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2986), c_Groups_Ozero__class_Ozero(_u2986)), _u2988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2986), _u2987), _u2989)) )).
% 27.68/27.93 cnf(matrix-2118, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2990) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2990), _u2991), _u2992)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2990), _u2993), _u2994)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2990), c_Groups_Ozero__class_Ozero(_u2990)), _u2991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2990), c_Groups_Ozero__class_Ozero(_u2990)), _u2993)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2990), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2990), _u2991), _u2993)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2990), _u2992), _u2994))) )).
% 27.68/27.93 cnf(matrix-2119, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2995) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2995), _u2996), _u2997)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2995), _u2998), _u2999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2995), c_Groups_Ozero__class_Ozero(_u2995)), _u2996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2995), c_Groups_Ozero__class_Ozero(_u2995)), _u2998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2995), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2995), _u2996), _u2998)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2995), _u2997), _u2999))) )).
% 27.68/27.93 cnf(matrix-2120, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3000) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3000), _u3001), _u3002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3000), _u3003), _u3004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3000), c_Groups_Ozero__class_Ozero(_u3000)), _u3001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3000), c_Groups_Ozero__class_Ozero(_u3000)), _u3003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3000), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3000), _u3001), _u3003)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3000), _u3002), _u3004))) )).
% 27.68/27.93 cnf(matrix-2121, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3005), _u3006), _u3007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3005), _u3008), _u3009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3005), c_Groups_Ozero__class_Ozero(_u3005)), _u3007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3005), c_Groups_Ozero__class_Ozero(_u3005)), _u3008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3005), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3005), _u3006), _u3008)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3005), _u3007), _u3009))) )).
% 27.68/27.93 cnf(matrix-2122, plain, ( ~class_Rings_Olinordered__ring__strict(_u3010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3010), _u3011), c_Groups_Ozero__class_Ozero(_u3010))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3010), _u3011), _u3012)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3010), _u3011), _u3013))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3010), _u3013), _u3012)) )).
% 27.68/27.93 cnf(matrix-2123, plain, ( ~class_Rings_Olinordered__ring__strict(_u3010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3010), _u3011), c_Groups_Ozero__class_Ozero(_u3010))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3010), _u3013), _u3012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3010), _u3011), _u3012)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3010), _u3011), _u3013))) )).
% 27.68/27.93 cnf(matrix-2124, plain, ( ~class_Rings_Olinordered__ring__strict(_u3014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3014), c_Groups_Ozero__class_Ozero(_u3014)), _u3015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3014), _u3015), _u3016)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3014), _u3015), _u3017))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), _u3016), _u3017)) )).
% 27.68/27.93 cnf(matrix-2125, plain, ( ~class_Rings_Olinordered__ring__strict(_u3014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3014), c_Groups_Ozero__class_Ozero(_u3014)), _u3015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), _u3016), _u3017)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3014), _u3015), _u3016)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3014), _u3015), _u3017))) )).
% 27.68/27.93 cnf(matrix-2126, plain, ( ~class_Rings_Olinordered__ring(_u3018) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3018), c_Groups_Ozero__class_Ozero(_u3018)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3018), _u3019), _u3019)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3018), _u3020), _u3020)))) )).
% 27.68/27.93 cnf(matrix-2127, plain, ( ~class_Rings_Olinordered__ring__strict(_u3021) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3021), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3021), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3021), _u3022), _u3022)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3021), _u3023), _u3023))), c_Groups_Ozero__class_Ozero(_u3021))) | ( _u3022 = c_Groups_Ozero__class_Ozero(_u3021)) )).
% 27.68/27.93 cnf(matrix-2128, plain, ( ~class_Rings_Olinordered__ring__strict(_u3021) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3021), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3021), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3021), _u3022), _u3022)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3021), _u3023), _u3023))), c_Groups_Ozero__class_Ozero(_u3021))) | ( _u3023 = c_Groups_Ozero__class_Ozero(_u3021)) )).
% 27.68/27.93 cnf(matrix-2129, plain, ( ~class_Rings_Olinordered__ring__strict(_u3021) | ( _u3022 != c_Groups_Ozero__class_Ozero(_u3021)) | ( _u3023 != c_Groups_Ozero__class_Ozero(_u3021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3021), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3021), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3021), _u3022), _u3022)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3021), _u3023), _u3023))), c_Groups_Ozero__class_Ozero(_u3021))) )).
% 27.68/27.93 cnf(matrix-2130, plain, ( ~class_Rings_Olinordered__idom(_u3024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3024), c_Groups_Ozero__class_Ozero(_u3024)), _u3025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3024), c_Groups_Ozero__class_Ozero(_u3024)), _u3026)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3024), _u3026), c_Groups_Oone__class_Oone(_u3024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3024), _u3026), _u3025)), _u3025)) )).
% 27.68/27.93 cnf(matrix-2131, plain, ( ~class_Rings_Olinordered__idom(_u3027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3027), c_Groups_Ozero__class_Ozero(_u3027)), _u3028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3027), c_Groups_Ozero__class_Ozero(_u3027)), _u3029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3027), _u3029), c_Groups_Oone__class_Oone(_u3027))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3027), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3027), _u3028), _u3029)), _u3028)) )).
% 27.68/27.93 cnf(matrix-2132, plain, ( ~class_Rings_Olinordered__idom(_u3030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3030), c_Groups_Osgn__class_Osgn(_u3030, _u3031)), c_Groups_Ozero__class_Ozero(_u3030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3030), _u3031), c_Groups_Ozero__class_Ozero(_u3030))) )).
% 27.68/27.93 cnf(matrix-2133, plain, ( ~class_Rings_Olinordered__idom(_u3030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3030), _u3031), c_Groups_Ozero__class_Ozero(_u3030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3030), c_Groups_Osgn__class_Osgn(_u3030, _u3031)), c_Groups_Ozero__class_Ozero(_u3030))) )).
% 27.68/27.93 cnf(matrix-2134, plain, ( ~class_Rings_Olinordered__idom(_u3032) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3032), c_Groups_Ozero__class_Ozero(_u3032)), c_Groups_Osgn__class_Osgn(_u3032, _u3033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3032), c_Groups_Ozero__class_Ozero(_u3032)), _u3033)) )).
% 27.68/27.93 cnf(matrix-2135, plain, ( ~class_Rings_Olinordered__idom(_u3032) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3032), c_Groups_Ozero__class_Ozero(_u3032)), _u3033)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3032), c_Groups_Ozero__class_Ozero(_u3032)), c_Groups_Osgn__class_Osgn(_u3032, _u3033))) )).
% 27.68/27.93 cnf(matrix-2136, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3034)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3035)) | 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), _u3035), _u3034))) )).
% 27.68/27.93 cnf(matrix-2137, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3036), _u3037))) )).
% 27.68/27.93 cnf(matrix-2138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3038), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3039), _u3038))) )).
% 27.68/27.93 cnf(matrix-2139, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3041)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3041 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2140, plain, ( ( _u3042 != 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), _u3042)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2141, plain, ( ( hAPP(c_Int_Onat, _u3044) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3044), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2142, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3045), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u3045) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3046), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u3046) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2144, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3048)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3048)) )).
% 27.68/27.93 cnf(matrix-2145, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3049)) )).
% 27.68/27.93 cnf(matrix-2146, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3050)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u3050)) = _u3050) )).
% 27.68/27.93 cnf(matrix-2147, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3053) != _u3055) | ( _u3053 = hAPP(c_Int_Onat, _u3055)) )).
% 27.68/27.93 cnf(matrix-2148, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3053) != _u3055) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3055)) )).
% 27.68/27.93 cnf(matrix-2149, plain, ( ( _u3054 != hAPP(c_Int_Onat, _u3056)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3056)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3054) = _u3056) )).
% 27.68/27.93 cnf(matrix-2150, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3058)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u3058)) = _u3058) )).
% 27.68/27.93 cnf(matrix-2151, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3059)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u3059)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2152, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3062), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3064), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3062), _u3064)) )).
% 27.68/27.93 cnf(matrix-2153, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3063), _u3065)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3063), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3065), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 27.68/27.93 cnf(matrix-2154, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3068), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3068), _u3070)) )).
% 27.68/27.93 cnf(matrix-2155, plain, ( ~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), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3069), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3071)) )).
% 27.68/27.93 cnf(matrix-2156, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3072), _u3073)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3072), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3073)) )).
% 27.68/27.93 cnf(matrix-2157, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3076)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3078)))) | ( _u3076 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2158, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3076)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3078)))) | ( _u3078 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2159, plain, ( ( _u3077 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3079 != 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), _u3077)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3079)))) )).
% 27.68/27.93 cnf(matrix-2160, 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), _u3080))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2161, plain, ( ~class_Rings_Olinordered__semiring__1(_u3081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3081), _u3082), _u3083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3081), _u3084), _u3083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3081), c_Groups_Ozero__class_Ozero(_u3081)), _u3085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3081), c_Groups_Ozero__class_Ozero(_u3081)), _u3086)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3081), _u3085), _u3086) != c_Groups_Oone__class_Oone(_u3081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3081), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3081), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3081), _u3085), _u3082)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3081), _u3086), _u3084))), _u3083)) )).
% 27.68/27.93 cnf(matrix-2162, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3087)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3087)), hAPP(c_Int_Onat, _u3088))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3087), _u3088)) )).
% 27.68/27.93 cnf(matrix-2163, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3087)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3087), _u3088)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3087)), hAPP(c_Int_Onat, _u3088))) )).
% 27.68/27.93 cnf(matrix-2164, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3089)), hAPP(c_Int_Onat, _u3090))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3089), _u3090)) )).
% 27.68/27.93 cnf(matrix-2165, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3089), _u3090)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u3089)), hAPP(c_Int_Onat, _u3090))) )).
% 27.68/27.93 cnf(matrix-2166, plain, ( ( hAPP(c_Int_Onat, _u3093) != _u3095) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3093)) | ( _u3093 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3095)) )).
% 27.68/27.93 cnf(matrix-2167, plain, ( ( hAPP(c_Int_Onat, _u3093) != _u3095) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3093)) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2168, plain, ( ( hAPP(c_Int_Onat, _u3094) = _u3096) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3094)) | ( _u3096 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2169, plain, ( ( hAPP(c_Int_Onat, _u3094) = _u3096) | ( _u3094 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3094)) )).
% 27.68/27.93 cnf(matrix-2170, plain, ( ( hAPP(c_Int_Onat, _u3094) = _u3096) | ( _u3094 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3096)) | ( _u3096 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2171, plain, ( ( _u3099 != hAPP(c_Int_Onat, _u3101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3101)) | ( _u3101 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3099)) )).
% 27.68/27.93 cnf(matrix-2172, plain, ( ( _u3099 != hAPP(c_Int_Onat, _u3101)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3101)) | ( _u3099 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2173, plain, ( ( _u3100 = hAPP(c_Int_Onat, _u3102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3102)) | ( _u3100 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2174, plain, ( ( _u3100 = hAPP(c_Int_Onat, _u3102)) | ( _u3102 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3100)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3102)) )).
% 27.68/27.93 cnf(matrix-2175, plain, ( ( _u3100 = hAPP(c_Int_Onat, _u3102)) | ( _u3102 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3100)) | ( _u3100 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2176, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3104)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3103)), hAPP(c_Int_Onat, _u3104)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3103), _u3104))) )).
% 27.68/27.93 cnf(matrix-2177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3106)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3105), _u3106)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3105)), hAPP(c_Int_Onat, _u3106))) )).
% 27.68/27.93 cnf(matrix-2178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3107)) | 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)), _u3107))) )).
% 27.68/27.93 cnf(matrix-2179, 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, _u3108))))) )).
% 27.68/27.93 cnf(matrix-2180, plain, ( ~class_Rings_Oring__1(_u3109) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3110)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3109), hAPP(c_Int_Onat, _u3110)) = hAPP(c_Int_Oring__1__class_Oof__int(_u3109), _u3110)) )).
% 27.68/27.93 cnf(matrix-2181, plain, ( ~class_Rings_Olinordered__idom(_u3111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3111), c_Groups_Ozero__class_Ozero(_u3111)), _u3112)) | ( c_Groups_Osgn__class_Osgn(_u3111, _u3112) = c_Groups_Oone__class_Oone(_u3111)) )).
% 27.68/27.93 cnf(matrix-2182, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3113)) | ( _u3113 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3114), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3113), _u3115))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3114), _u3113)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3115)) )).
% 27.68/27.93 cnf(matrix-2183, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3116)) | ( _u3116 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3116), _u3118))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3118), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2184, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3119), _u3120)), _u3121) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3122), _u3123)), _u3124)) | ~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), _u3122), _u3123)), _u3124)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3121), _u3119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3124)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3122)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3122), _u3119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3123), _u3120)) )).
% 27.68/27.93 cnf(matrix-2185, 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), _u3125), _u3126)), _u3127)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3125), _u3128)), _u3129))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3129), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3125), _u3129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3125), _u3127)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3128), _u3126)) )).
% 27.68/27.93 cnf(matrix-2186, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3130), _u3131)), _u3132) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3133), _u3134)), _u3135)) | ~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), _u3133), _u3134)), _u3135))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3135), _u3133)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3133)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3133), _u3130)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3131), _u3134)) )).
% 27.68/27.93 cnf(matrix-2187, 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), _u3136), _u3137)), _u3138)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3136), _u3139)), _u3140))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3138), _u3136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3140), _u3136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3137), _u3139)) )).
% 27.68/27.93 cnf(matrix-2188, 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), _u3141), _u3142)), _u3143)), 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)), _u3143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3142), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2189, 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), _u3144), _u3145)), _u3146))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3146), _u3144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3145)) )).
% 27.68/27.93 cnf(matrix-2190, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3147)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3147), _u3148)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3147), _u3149))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3148), _u3149)) )).
% 27.68/27.93 cnf(matrix-2191, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3147)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3148), _u3149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3147), _u3148)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3147), _u3149))) )).
% 27.68/27.93 cnf(matrix-2192, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3150), _u3151)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3151), _u3150)) | ( _u3150 = _u3151) )).
% 27.68/27.93 cnf(matrix-2193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3152), _u3153)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3153), _u3154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3152), _u3154)) )).
% 27.68/27.93 cnf(matrix-2194, plain, ( ( _u3155 != _u3156) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3155), _u3156)) )).
% 27.68/27.93 cnf(matrix-2195, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3157), _u3158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3158), _u3157)) )).
% 27.68/27.93 cnf(matrix-2196, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3159), _u3159)) )).
% 27.68/27.93 cnf(matrix-2197, plain, ( ~class_Orderings_Oord(_u3160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3161, _u3160)), _u3162), _u3163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3161, _u3160)), _u3162), _u3163)) )).
% 27.68/27.93 cnf(matrix-2198, plain, ( ~class_Orderings_Oord(_u3160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3161, _u3160)), _u3162), _u3163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3161, _u3160)), _u3163), _u3162)) )).
% 27.68/27.93 cnf(matrix-2199, plain, ( ~class_Orderings_Oord(_u3160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3161, _u3160)), _u3162), _u3163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3161, _u3160)), _u3163), _u3162)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3161, _u3160)), _u3162), _u3163)) )).
% 27.68/27.93 cnf(matrix-2200, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3167), _u3169) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3167), _u3171)) | ( _u3167 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3169 = _u3171) )).
% 27.68/27.93 cnf(matrix-2201, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3168), _u3170) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3168), _u3172)) | ( _u3168 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2202, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3168), _u3170) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3168), _u3172)) | ( _u3170 != _u3172) )).
% 27.68/27.93 cnf(matrix-2203, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3173), _u3174)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3175), _u3174)), _u3176)) = 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), _u3173), _u3175)), _u3174)), _u3176)) )).
% 27.68/27.93 cnf(matrix-2204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3177)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3177), _u3178) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3177), _u3179)) | ( _u3178 = _u3179) )).
% 27.68/27.93 cnf(matrix-2205, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3177)) | ( _u3178 != _u3179) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3177), _u3178) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3177), _u3179)) )).
% 27.68/27.93 cnf(matrix-2206, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3180), _u3181)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3180), _u3182))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3181), _u3182)) )).
% 27.68/27.93 cnf(matrix-2207, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3181), _u3182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3180), _u3181)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3180), _u3182))) )).
% 27.68/27.93 cnf(matrix-2208, 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))) )).
% 27.68/27.93 cnf(matrix-2209, plain, ( ~class_Lattices_Oboolean__algebra(_u3183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3183), _u3184), _u3185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3183), hAPP(c_Groups_Ouminus__class_Ouminus(_u3183), _u3185)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3183), _u3184))) )).
% 27.68/27.93 cnf(matrix-2210, plain, ( ~class_Lattices_Oboolean__algebra(_u3186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3186), hAPP(c_Groups_Ouminus__class_Ouminus(_u3186), _u3187)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3186), _u3188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3186), _u3188), _u3187)) )).
% 27.68/27.93 cnf(matrix-2211, plain, ( ~class_Lattices_Oboolean__algebra(_u3186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3186), _u3188), _u3187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3186), hAPP(c_Groups_Ouminus__class_Ouminus(_u3186), _u3187)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3186), _u3188))) )).
% 27.68/27.93 cnf(matrix-2212, plain, ( hBOOL(hAPP(_u3191, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3191, _u3192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem53(_u3192, _u3191)), _u3192)) )).
% 27.68/27.93 cnf(matrix-2213, plain, ( hBOOL(hAPP(_u3191, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3191, _u3192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3189), skolem53(_u3192, _u3191))) | ~hBOOL(hAPP(_u3191, _u3189)) )).
% 27.68/27.93 cnf(matrix-2214, plain, ( hBOOL(hAPP(_u3191, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3191, _u3192)) | hBOOL(hAPP(_u3191, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem53(_u3192, _u3191)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-2215, plain, ( ~hBOOL(hAPP(_u3204, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3206, _u3208))) | ( _u3208 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3204, _u3206)) )).
% 27.68/27.93 cnf(matrix-2216, plain, ( ~hBOOL(hAPP(_u3204, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3206, _u3208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3193), _u3208)) | ( _u3206 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3208), _u3194)), _u3193)) | hBOOL(hAPP(_u3204, _u3193)) )).
% 27.68/27.93 cnf(matrix-2217, plain, ( ~hBOOL(hAPP(_u3204, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3206, _u3208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3208), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3208), _u3195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3195), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3206 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3208), _u3196)), _u3195)) | hBOOL(hAPP(_u3204, _u3195)) )).
% 27.68/27.93 cnf(matrix-2218, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2219, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = 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)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2220, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2221, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2222, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2223, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2224, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2225, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2226, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2227, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2228, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2229, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = 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)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2230, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2231, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2232, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2233, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2234, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = 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)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2235, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2236, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2237, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2238, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2239, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = 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)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2240, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2241, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2242, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2243, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2244, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = 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)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2245, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2246, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2247, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ( _u3209 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2248, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2249, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2250, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2251, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2252, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3209), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2253, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2254, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2255, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2256, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2257, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem57(_u3209, _u3207, _u3205)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3205, _u3207)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2258, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2259, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2260, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2261, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2262, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem56(_u3209, _u3207, _u3205))), skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2263, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2264, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2265, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem55(_u3209, _u3207, _u3205)), _u3209)) )).
% 27.68/27.93 cnf(matrix-2266, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | ( _u3207 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3209), skolem54(_u3209, _u3207, _u3205))), skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2267, plain, ( hBOOL(hAPP(_u3205, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3207, _u3209))) | ~hBOOL(hAPP(_u3205, skolem57(_u3209, _u3207, _u3205))) | ~hBOOL(hAPP(_u3205, _u3207)) | ~hBOOL(hAPP(_u3205, skolem55(_u3209, _u3207, _u3205))) )).
% 27.68/27.93 cnf(matrix-2268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3211)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3211), _u3212)) | 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), _u3212), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3213, _u3210))), _u3211))) )).
% 27.68/27.93 cnf(matrix-2269, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3214)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3215), _u3216)) | 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), _u3216), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3217, _u3214))), _u3215)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3216), _u3214))) )).
% 27.68/27.93 cnf(matrix-2270, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3218)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3219), _u3220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3220), 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), _u3219), _u3218)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3219), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3221, _u3218))), _u3220))) )).
% 27.68/27.93 cnf(matrix-2271, plain, ( ~class_Divides_Osemiring__div(_u3222) | ( c_Divides_Odiv__class_Omod(_u3222, c_Divides_Odiv__class_Omod(_u3222, _u3223, _u3224), _u3224) = c_Divides_Odiv__class_Omod(_u3222, _u3223, _u3224)) )).
% 27.68/27.93 cnf(matrix-2272, plain, ( ~class_Divides_Osemiring__div(_u3225) | ( c_Divides_Odiv__class_Omod(_u3225, c_Groups_Ozero__class_Ozero(_u3225), _u3226) = c_Groups_Ozero__class_Ozero(_u3225)) )).
% 27.68/27.93 cnf(matrix-2273, plain, ( ~class_Divides_Osemiring__div(_u3227) | ( c_Divides_Odiv__class_Omod(_u3227, _u3228, c_Groups_Ozero__class_Ozero(_u3227)) = _u3228) )).
% 27.68/27.93 cnf(matrix-2274, plain, ( ~class_Divides_Osemiring__div(_u3229) | ( c_Divides_Odiv__class_Omod(_u3229, _u3230, _u3230) = c_Groups_Ozero__class_Ozero(_u3229)) )).
% 27.68/27.93 cnf(matrix-2275, plain, ( ~class_Divides_Osemiring__div(_u3231) | ( c_Divides_Odiv__class_Omod(_u3231, _u3232, _u3233) != c_Divides_Odiv__class_Omod(_u3231, _u3234, _u3233)) | ( c_Divides_Odiv__class_Omod(_u3231, _u3235, _u3233) != c_Divides_Odiv__class_Omod(_u3231, _u3236, _u3233)) | ( c_Divides_Odiv__class_Omod(_u3231, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3231), _u3232), _u3235), _u3233) = c_Divides_Odiv__class_Omod(_u3231, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3231), _u3234), _u3236), _u3233)) )).
% 27.68/27.93 cnf(matrix-2276, plain, ( ~class_Divides_Osemiring__div(_u3237) | ( c_Divides_Odiv__class_Omod(_u3237, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3237), c_Divides_Odiv__class_Omod(_u3237, _u3238, _u3239)), _u3240), _u3239) = c_Divides_Odiv__class_Omod(_u3237, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3237), _u3238), _u3240), _u3239)) )).
% 27.68/27.93 cnf(matrix-2277, plain, ( ~class_Divides_Osemiring__div(_u3241) | ( c_Divides_Odiv__class_Omod(_u3241, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3241), _u3242), c_Divides_Odiv__class_Omod(_u3241, _u3243, _u3244)), _u3244) = c_Divides_Odiv__class_Omod(_u3241, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3241), _u3242), _u3243), _u3244)) )).
% 27.68/27.93 cnf(matrix-2278, plain, ( ~class_Divides_Osemiring__div(_u3245) | ( c_Divides_Odiv__class_Omod(_u3245, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3245), _u3246), _u3247), _u3248) = c_Divides_Odiv__class_Omod(_u3245, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3245), c_Divides_Odiv__class_Omod(_u3245, _u3246, _u3248)), c_Divides_Odiv__class_Omod(_u3245, _u3247, _u3248)), _u3248)) )).
% 27.68/27.93 cnf(matrix-2279, plain, ( ~class_Divides_Osemiring__div(_u3249) | ( c_Divides_Odiv__class_Omod(_u3249, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3249), _u3250), _u3251), _u3252) = c_Divides_Odiv__class_Omod(_u3249, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3249), c_Divides_Odiv__class_Omod(_u3249, _u3250, _u3252)), _u3251), _u3252)) )).
% 27.68/27.93 cnf(matrix-2280, plain, ( ~class_Divides_Osemiring__div(_u3253) | ( c_Divides_Odiv__class_Omod(_u3253, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3253), _u3254), _u3255), _u3256) = c_Divides_Odiv__class_Omod(_u3253, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3253), _u3254), c_Divides_Odiv__class_Omod(_u3253, _u3255, _u3256)), _u3256)) )).
% 27.68/27.93 cnf(matrix-2281, plain, ( ~class_Divides_Osemiring__div(_u3257) | ( c_Divides_Odiv__class_Omod(_u3257, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3257), _u3258), _u3259), _u3258) = c_Divides_Odiv__class_Omod(_u3257, _u3259, _u3258)) )).
% 27.68/27.93 cnf(matrix-2282, plain, ( ~class_Divides_Osemiring__div(_u3260) | ( c_Divides_Odiv__class_Omod(_u3260, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3260), _u3261), _u3262), _u3262) = c_Divides_Odiv__class_Omod(_u3260, _u3261, _u3262)) )).
% 27.68/27.93 cnf(matrix-2283, plain, ( ~class_Divides_Osemiring__div(_u3263) | ( c_Divides_Odiv__class_Omod(_u3263, _u3264, _u3265) != c_Divides_Odiv__class_Omod(_u3263, _u3266, _u3265)) | ( c_Divides_Odiv__class_Omod(_u3263, _u3267, _u3265) != c_Divides_Odiv__class_Omod(_u3263, _u3268, _u3265)) | ( c_Divides_Odiv__class_Omod(_u3263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3263), _u3264), _u3267), _u3265) = c_Divides_Odiv__class_Omod(_u3263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3263), _u3266), _u3268), _u3265)) )).
% 27.68/27.93 cnf(matrix-2284, plain, ( ~class_Divides_Osemiring__div(_u3269) | ( c_Divides_Odiv__class_Omod(_u3269, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3269), c_Divides_Odiv__class_Omod(_u3269, _u3270, _u3271)), _u3272), _u3271) = c_Divides_Odiv__class_Omod(_u3269, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3269), _u3270), _u3272), _u3271)) )).
% 27.68/27.93 cnf(matrix-2285, plain, ( ~class_Divides_Osemiring__div(_u3273) | ( c_Divides_Odiv__class_Omod(_u3273, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3273), _u3274), _u3275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3273), _u3276), _u3275)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3273), c_Divides_Odiv__class_Omod(_u3273, _u3274, _u3276)), _u3275)) )).
% 27.68/27.93 cnf(matrix-2286, plain, ( ~class_Divides_Osemiring__div(_u3277) | ( c_Divides_Odiv__class_Omod(_u3277, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3277), _u3278), _u3279), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3277), _u3278), _u3280)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3277), _u3278), c_Divides_Odiv__class_Omod(_u3277, _u3279, _u3280))) )).
% 27.68/27.93 cnf(matrix-2287, plain, ( ~class_Divides_Osemiring__div(_u3281) | ( c_Divides_Odiv__class_Omod(_u3281, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3281), _u3282), _u3283), _u3284) = c_Divides_Odiv__class_Omod(_u3281, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3281), c_Divides_Odiv__class_Omod(_u3281, _u3282, _u3284)), c_Divides_Odiv__class_Omod(_u3281, _u3283, _u3284)), _u3284)) )).
% 27.68/27.93 cnf(matrix-2288, plain, ( ~class_Divides_Osemiring__div(_u3285) | ( c_Divides_Odiv__class_Omod(_u3285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3285), _u3286), _u3287), _u3288) = c_Divides_Odiv__class_Omod(_u3285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3285), c_Divides_Odiv__class_Omod(_u3285, _u3286, _u3288)), _u3287), _u3288)) )).
% 27.68/27.93 cnf(matrix-2289, plain, ( ~class_Divides_Osemiring__div(_u3289) | ( c_Divides_Odiv__class_Omod(_u3289, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3289), _u3290), _u3291), _u3292) = c_Divides_Odiv__class_Omod(_u3289, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3289), _u3290), c_Divides_Odiv__class_Omod(_u3289, _u3291, _u3292)), _u3292)) )).
% 27.68/27.93 cnf(matrix-2290, plain, ( ~class_Divides_Oring__div(_u3293) | ( c_Divides_Odiv__class_Omod(_u3293, _u3294, _u3295) != c_Divides_Odiv__class_Omod(_u3293, _u3296, _u3295)) | ( c_Divides_Odiv__class_Omod(_u3293, hAPP(c_Groups_Ouminus__class_Ouminus(_u3293), _u3294), _u3295) = c_Divides_Odiv__class_Omod(_u3293, hAPP(c_Groups_Ouminus__class_Ouminus(_u3293), _u3296), _u3295)) )).
% 27.68/27.93 cnf(matrix-2291, plain, ( ~class_Divides_Oring__div(_u3297) | ( c_Divides_Odiv__class_Omod(_u3297, hAPP(c_Groups_Ouminus__class_Ouminus(_u3297), _u3298), _u3299) = c_Divides_Odiv__class_Omod(_u3297, hAPP(c_Groups_Ouminus__class_Ouminus(_u3297), c_Divides_Odiv__class_Omod(_u3297, _u3298, _u3299)), _u3299)) )).
% 27.68/27.93 cnf(matrix-2292, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3300) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2293, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3301, _u3301) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2294, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3302), _u3303), _u3304) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3302), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3303, _u3304)), _u3304)) )).
% 27.68/27.93 cnf(matrix-2295, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3305), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3306, _u3307)), _u3307) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3305), _u3306), _u3307)) )).
% 27.68/27.93 cnf(matrix-2296, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3308, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3309)) = 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), _u3308), _u3309))) )).
% 27.68/27.93 cnf(matrix-2297, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3310), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3311)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3310, _u3311))) )).
% 27.68/27.93 cnf(matrix-2298, 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, _u3312, _u3313)), _u3313) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3312), _u3313)) )).
% 27.68/27.93 cnf(matrix-2299, plain, ( ~class_Divides_Osemiring__div(_u3314) | ( c_Divides_Odiv__class_Omod(_u3314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3314), _u3315), _u3316), _u3316) = c_Groups_Ozero__class_Ozero(_u3314)) )).
% 27.68/27.93 cnf(matrix-2300, plain, ( ~class_Divides_Osemiring__div(_u3317) | ( c_Divides_Odiv__class_Omod(_u3317, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3317), _u3318), _u3319), _u3318) = c_Groups_Ozero__class_Ozero(_u3317)) )).
% 27.68/27.93 cnf(matrix-2301, plain, ( ~class_Divides_Osemiring__div(_u3320) | ( c_Divides_Odiv__class_Omod(_u3320, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3320), _u3321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3320), _u3322), _u3323)), _u3323) = c_Divides_Odiv__class_Omod(_u3320, _u3321, _u3323)) )).
% 27.68/27.93 cnf(matrix-2302, plain, ( ~class_Divides_Osemiring__div(_u3324) | ( c_Divides_Odiv__class_Omod(_u3324, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3324), _u3325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3324), _u3326), _u3327)), _u3326) = c_Divides_Odiv__class_Omod(_u3324, _u3325, _u3326)) )).
% 27.68/27.93 cnf(matrix-2303, plain, ( ~class_Divides_Osemiring__div(_u3328) | ( c_Divides_Odiv__class_Omod(_u3328, _u3329, c_Groups_Oone__class_Oone(_u3328)) = c_Groups_Ozero__class_Ozero(_u3328)) )).
% 27.68/27.93 cnf(matrix-2304, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3330, _u3331)), _u3330)) )).
% 27.68/27.93 cnf(matrix-2305, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3333)) | 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, _u3332, _u3333))) )).
% 27.68/27.93 cnf(matrix-2306, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3334), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3334), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3335, _u3334))) )).
% 27.68/27.93 cnf(matrix-2307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3337, _u3336)), _u3336)) )).
% 27.68/27.93 cnf(matrix-2308, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3342, _u3344) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3342 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3344), skolem58(_u3344, _u3342))) )).
% 27.68/27.93 cnf(matrix-2309, plain, ( ( _u3343 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3345), _u3339)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3343, _u3345) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2310, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3346, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3347)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3346, _u3347) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2311, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3348), _u3349) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3348, _u3349) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2312, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3350), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3351), _u3350)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3350, _u3351) = _u3350) )).
% 27.68/27.93 cnf(matrix-2313, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3352), 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, _u3353, _u3352)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2314, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3352), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3352), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3353, _u3352))) )).
% 27.68/27.93 cnf(matrix-2315, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3354), 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, _u3355, _u3354)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2316, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3356)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3356), _u3357)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3356, _u3357) = _u3356) )).
% 27.68/27.93 cnf(matrix-2317, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3358)) | 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, _u3359, _u3358))) )).
% 27.68/27.93 cnf(matrix-2318, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3359, _u3358)), _u3358)) )).
% 27.68/27.93 cnf(matrix-2319, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3360)) | 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, _u3361, _u3360))) )).
% 27.68/27.93 cnf(matrix-2320, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3362) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3362), _u3363), _u3363) = _u3363) )).
% 27.68/27.93 cnf(matrix-2321, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3364) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3364), _u3365), _u3365) = _u3365) )).
% 27.68/27.93 cnf(matrix-2322, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3366) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3366), _u3367), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3366), _u3367), _u3368)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3366), _u3367), _u3368)) )).
% 27.68/27.93 cnf(matrix-2323, plain, ( ~class_Lattices_Oboolean__algebra(_u3369) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3369), hAPP(c_Groups_Ouminus__class_Ouminus(_u3369), _u3370)) = _u3370) )).
% 27.68/27.93 cnf(matrix-2324, plain, ( ~class_Groups_Ouminus(_u3371) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3372, _u3371)), _u3373), _u3374) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3371), hAPP(_u3373, _u3374))) )).
% 27.68/27.93 cnf(matrix-2325, plain, ( ~class_Lattices_Oboolean__algebra(_u3375) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3375), _u3376) != hAPP(c_Groups_Ouminus__class_Ouminus(_u3375), _u3377)) | ( _u3376 = _u3377) )).
% 27.68/27.93 cnf(matrix-2326, plain, ( ~class_Lattices_Oboolean__algebra(_u3375) | ( _u3376 != _u3377) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3375), _u3376) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3375), _u3377)) )).
% 27.68/27.93 cnf(matrix-2327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3378), _u3379)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3378, _u3379) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3378), _u3379)) )).
% 27.68/27.93 cnf(matrix-2328, plain, ( ( _u3380 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3381), _u3382)), _u3383)) | ( _u3381 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3380, _u3381) = _u3383) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3381), _u3383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3383), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2329, plain, ( ( _u3380 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3381), _u3382)), _u3383)) | ( _u3381 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3380, _u3381) = _u3383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3383), _u3381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3381)) )).
% 27.68/27.93 cnf(matrix-2330, plain, ( ( _u3380 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3381), _u3382)), _u3383)) | ( _u3381 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3380, _u3381) = _u3383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3383), _u3381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3381), _u3383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3383), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2331, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3384)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3385), _u3386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3386), 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), _u3385), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3387, _u3384))), _u3386)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2332, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3390)) | ( c_SMT_Oz3mod(_u3392, _u3390) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3392, _u3390)) )).
% 27.68/27.93 cnf(matrix-2333, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3391)) | ( c_SMT_Oz3mod(_u3393, _u3391) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3393, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3391))) )).
% 27.68/27.93 cnf(matrix-2334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3398)) | ~hBOOL(hAPP(hAPP(_u3399, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3400), _u3398)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3400, _u3398))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3394), _u3398)) | ( _u3400 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3398), _u3395)), _u3394)) | hBOOL(hAPP(hAPP(_u3399, _u3395), _u3394)) )).
% 27.68/27.93 cnf(matrix-2335, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3398)) | hBOOL(hAPP(hAPP(_u3399, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3400), _u3398)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3400, _u3398))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem60(_u3400, _u3399, _u3398))) )).
% 27.68/27.93 cnf(matrix-2336, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3398)) | hBOOL(hAPP(hAPP(_u3399, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3400), _u3398)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3400, _u3398))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem60(_u3400, _u3399, _u3398)), _u3398)) )).
% 27.68/27.93 cnf(matrix-2337, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3398)) | hBOOL(hAPP(hAPP(_u3399, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3400), _u3398)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3400, _u3398))) | ( _u3400 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3398), skolem59(_u3400, _u3399, _u3398))), skolem60(_u3400, _u3399, _u3398))) )).
% 27.68/27.93 cnf(matrix-2338, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3398)) | hBOOL(hAPP(hAPP(_u3399, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3400), _u3398)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3400, _u3398))) | ~hBOOL(hAPP(hAPP(_u3399, skolem59(_u3400, _u3399, _u3398)), skolem60(_u3400, _u3399, _u3398))) )).
% 27.68/27.93 cnf(matrix-2339, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u3406, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3407), _u3405)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3407, _u3405))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), _u3401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3401), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3407 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3405), _u3402)), _u3401)) | hBOOL(hAPP(hAPP(_u3406, _u3402), _u3401)) )).
% 27.68/27.93 cnf(matrix-2340, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3406, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3407), _u3405)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3407, _u3405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), skolem62(_u3407, _u3406, _u3405))) )).
% 27.68/27.93 cnf(matrix-2341, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3406, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3407), _u3405)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3407, _u3405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem62(_u3407, _u3406, _u3405)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2342, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3406, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3407), _u3405)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3407, _u3405))) | ( _u3407 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3405), skolem61(_u3407, _u3406, _u3405))), skolem62(_u3407, _u3406, _u3405))) )).
% 27.68/27.93 cnf(matrix-2343, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3405), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3406, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3407), _u3405)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3407, _u3405))) | ~hBOOL(hAPP(hAPP(_u3406, skolem61(_u3407, _u3406, _u3405)), skolem62(_u3407, _u3406, _u3405))) )).
% 27.68/27.93 cnf(matrix-2344, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3408)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3409, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3410), _u3408)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3410), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3409), _u3410), _u3408))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3409, _u3410))) )).
% 27.68/27.93 cnf(matrix-2345, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u3411, _u3412))) )).
% 27.68/27.93 cnf(matrix-2346, plain, ( ( _u3413 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3414), _u3415)), _u3416)) | ( _u3414 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3413), _u3414) = _u3415) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3414), _u3416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3416), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2347, plain, ( ( _u3413 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3414), _u3415)), _u3416)) | ( _u3414 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3413), _u3414) = _u3415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3416), _u3414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3414)) )).
% 27.68/27.93 cnf(matrix-2348, plain, ( ( _u3413 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3414), _u3415)), _u3416)) | ( _u3414 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3413), _u3414) = _u3415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3416), _u3414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3414), _u3416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3416), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2349, plain, ( ~hBOOL(hAPP(_u3428, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3430), _u3432))) | ( _u3432 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3428, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2350, plain, ( ~hBOOL(hAPP(_u3428, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3430), _u3432))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3417), _u3432)) | ( _u3430 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3432), _u3418)), _u3417)) | hBOOL(hAPP(_u3428, _u3418)) )).
% 27.68/27.93 cnf(matrix-2351, plain, ( ~hBOOL(hAPP(_u3428, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3430), _u3432))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3432), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3432), _u3419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3419), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3430 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3432), _u3420)), _u3419)) | hBOOL(hAPP(_u3428, _u3420)) )).
% 27.68/27.93 cnf(matrix-2352, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2353, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = 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(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2354, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2355, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2356, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2357, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2358, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, 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(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2359, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2360, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2361, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2362, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2363, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = 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(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2364, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2365, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2366, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2367, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2368, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = 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(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2369, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2370, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2371, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2372, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2373, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = 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(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2374, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2375, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2376, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2377, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2378, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ( _u3433 = 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(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2379, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2380, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2381, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ( _u3433 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2382, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2383, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, 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(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2384, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2385, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2386, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3433), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2387, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2388, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, 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(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2389, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2390, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2391, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem66(_u3433, _u3431, _u3429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2392, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2393, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, 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(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2394, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2395, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2396, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem65(_u3433, _u3431, _u3429))), skolem66(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2397, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2398, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, 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(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2399, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem64(_u3433, _u3431, _u3429)), _u3433)) )).
% 27.68/27.93 cnf(matrix-2400, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3433), skolem63(_u3433, _u3431, _u3429))), skolem64(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2401, plain, ( hBOOL(hAPP(_u3429, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3431), _u3433))) | ~hBOOL(hAPP(_u3429, skolem65(_u3433, _u3431, _u3429))) | ~hBOOL(hAPP(_u3429, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3429, skolem63(_u3433, _u3431, _u3429))) )).
% 27.68/27.93 cnf(matrix-2402, plain, ( ~hBOOL(hAPP(_u3439, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3441), _u3443))) | ( _u3443 = 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), _u3443), skolem67(_u3443, _u3441, _u3439))), _u3441)) )).
% 27.68/27.93 cnf(matrix-2403, plain, ( ~hBOOL(hAPP(_u3439, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3441), _u3443))) | ( _u3443 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3443), hAPP(c_Nat_OSuc, skolem67(_u3443, _u3441, _u3439))))) )).
% 27.68/27.93 cnf(matrix-2404, plain, ( ~hBOOL(hAPP(_u3439, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3441), _u3443))) | ( _u3443 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3439, skolem67(_u3443, _u3441, _u3439))) )).
% 27.68/27.93 cnf(matrix-2405, plain, ( ~hBOOL(hAPP(_u3439, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3441), _u3443))) | hBOOL(hAPP(_u3439, 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), _u3443), skolem67(_u3443, _u3441, _u3439))), _u3441)) )).
% 27.68/27.93 cnf(matrix-2406, plain, ( ~hBOOL(hAPP(_u3439, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3441), _u3443))) | hBOOL(hAPP(_u3439, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3443), hAPP(c_Nat_OSuc, skolem67(_u3443, _u3441, _u3439))))) )).
% 27.68/27.93 cnf(matrix-2407, plain, ( ~hBOOL(hAPP(_u3439, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3441), _u3443))) | hBOOL(hAPP(_u3439, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u3439, skolem67(_u3443, _u3441, _u3439))) )).
% 27.68/27.93 cnf(matrix-2408, plain, ( hBOOL(hAPP(_u3440, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3442), _u3444))) | ( _u3444 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3440, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-2409, plain, ( hBOOL(hAPP(_u3440, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3442), _u3444))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3444), _u3435)), _u3442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3442), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3444), hAPP(c_Nat_OSuc, _u3435)))) | ~hBOOL(hAPP(_u3440, _u3435)) )).
% 27.68/27.93 cnf(matrix-2410, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3445), _u3446)), _u3447) = 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), _u3445), _u3447)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3446), _u3447))), 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, _u3445, _u3447)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3446, _u3447))), _u3447))) )).
% 27.68/27.93 cnf(matrix-2411, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3448), _u3449)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3448)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3449))) )).
% 27.68/27.93 cnf(matrix-2412, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3450)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3451)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3450), _u3451))) )).
% 27.68/27.93 cnf(matrix-2413, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), _u3453)), _u3454) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3453), _u3454))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3453, _u3454))), _u3454))) )).
% 27.68/27.93 cnf(matrix-2414, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3455, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3456), _u3457)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3456), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3455), _u3456), _u3457))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3455, _u3456))) )).
% 27.68/27.93 cnf(matrix-2415, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3458), _u3459)), _u3458)) )).
% 27.68/27.93 cnf(matrix-2416, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3460), _u3461)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3460), _u3462)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3461), _u3462))) )).
% 27.68/27.93 cnf(matrix-2417, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3463) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2418, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3464), _u3465) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3464, _u3465)), _u3465)) )).
% 27.68/27.93 cnf(matrix-2419, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3467), _u3468)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3466), _u3467)), _u3468)) )).
% 27.68/27.93 cnf(matrix-2420, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3469), _u3470)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3469, _u3470) = _u3469) )).
% 27.68/27.93 cnf(matrix-2421, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3471, _u3472)), _u3471)) )).
% 27.68/27.93 cnf(matrix-2422, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3473), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3474, _u3475)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3473), _u3474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3473), _u3475))) )).
% 27.68/27.93 cnf(matrix-2423, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3476, _u3477)), _u3478) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3476), _u3478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3477), _u3478))) )).
% 27.68/27.93 cnf(matrix-2424, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3479)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3480)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3479), _u3480)) )).
% 27.68/27.93 cnf(matrix-2425, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3481), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3482)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3481)), _u3482)) )).
% 27.68/27.93 cnf(matrix-2426, plain, ( ~class_Divides_Osemiring__div(_u3483) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3483), c_Groups_Ozero__class_Ozero(_u3483)), _u3484) = c_Groups_Ozero__class_Ozero(_u3483)) )).
% 27.68/27.93 cnf(matrix-2427, plain, ( ~class_Divides_Osemiring__div(_u3485) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3485), _u3486), c_Groups_Ozero__class_Ozero(_u3485)) = c_Groups_Ozero__class_Ozero(_u3485)) )).
% 27.68/27.93 cnf(matrix-2428, plain, ( ~class_Divides_Osemiring__div(_u3487) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3487), _u3488), c_Groups_Oone__class_Oone(_u3487)) = _u3488) )).
% 27.68/27.93 cnf(matrix-2429, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3489)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3489), _u3490)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3489)), hAPP(c_Int_Onat, _u3490))) )).
% 27.68/27.93 cnf(matrix-2430, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3492)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3491)), hAPP(c_Int_Onat, _u3492)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3491), _u3492))) )).
% 27.68/27.93 cnf(matrix-2431, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3493), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u3493) )).
% 27.68/27.93 cnf(matrix-2432, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3494), _u3495)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3494), _u3495) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2433, plain, ( ( _u3499 != 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), _u3499), _u3501)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3499), _u3503)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2434, plain, ( ( _u3500 = 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), _u3500), _u3502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3500), _u3504)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3502), _u3504)) )).
% 27.68/27.93 cnf(matrix-2435, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3505, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2436, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3508, _u3510)) != _u3510) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3508), _u3510) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2437, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3509, _u3511)) = _u3511) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3509), _u3511) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3509, _u3511))) )).
% 27.68/27.93 cnf(matrix-2438, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3512)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3513)) | 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), _u3512), _u3513))) )).
% 27.68/27.93 cnf(matrix-2439, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3515, _u3514)), _u3514)) )).
% 27.68/27.93 cnf(matrix-2440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3517), _u3516)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2441, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3517), 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), _u3517), _u3516)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2442, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3518), 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), _u3519), _u3518)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3519)) )).
% 27.68/27.93 cnf(matrix-2443, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3518), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3519), _u3518)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2444, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3520), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3520), _u3521)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2445, plain, ( ( _u3522 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3522), _u3522) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2446, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3527, _u3529) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3527 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3529), skolem68(_u3529, _u3527))) )).
% 27.68/27.93 cnf(matrix-2447, plain, ( ( _u3528 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3530), _u3524)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3528, _u3530) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2448, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3532), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2449, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3533, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u3533) )).
% 27.68/27.93 cnf(matrix-2450, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3534, _u3535)), _u3535) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2451, 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), _u3536), _u3537)), _u3538), _u3537) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3538, _u3537)) )).
% 27.68/27.93 cnf(matrix-2452, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3539), _u3540)), _u3541) = 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), _u3539), _u3541)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3540), _u3541))), 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, _u3539, _u3541)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3540, _u3541))), _u3541))) )).
% 27.68/27.93 cnf(matrix-2453, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3542, _u3543)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3542), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3543))) )).
% 27.68/27.93 cnf(matrix-2454, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3544), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3545)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3544, _u3545))) )).
% 27.68/27.93 cnf(matrix-2455, plain, ( ~class_Divides_Osemiring__div(_u3546) | ( _u3547 = c_Groups_Ozero__class_Ozero(_u3546)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3546), _u3547), _u3548)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3546), _u3547), _u3549)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3546), _u3548), _u3549)) )).
% 27.68/27.93 cnf(matrix-2456, plain, ( ~class_Divides_Osemiring__div(_u3550) | ( _u3551 = c_Groups_Ozero__class_Ozero(_u3550)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3550), _u3552), _u3551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3550), _u3553), _u3551)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3550), _u3552), _u3553)) )).
% 27.68/27.93 cnf(matrix-2457, plain, ( ~class_Divides_Osemiring__div(_u3554) | ( _u3555 = c_Groups_Ozero__class_Ozero(_u3554)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3554), _u3555), _u3556)), _u3555) = _u3556) )).
% 27.68/27.93 cnf(matrix-2458, plain, ( ~class_Divides_Osemiring__div(_u3557) | ( _u3558 = c_Groups_Ozero__class_Ozero(_u3557)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3557), _u3559), _u3558)), _u3558) = _u3559) )).
% 27.68/27.93 cnf(matrix-2459, plain, ( ~class_Divides_Osemiring__div(_u3560) | ( _u3561 != c_Groups_Ozero__class_Ozero(_u3560)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3560), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3560), _u3561), _u3562)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3560), _u3561), _u3563)) = c_Groups_Ozero__class_Ozero(_u3560)) )).
% 27.68/27.93 cnf(matrix-2460, plain, ( ~class_Divides_Osemiring__div(_u3560) | ( _u3561 = c_Groups_Ozero__class_Ozero(_u3560)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3560), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3560), _u3561), _u3562)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3560), _u3561), _u3563)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3560), _u3562), _u3563)) )).
% 27.68/27.93 cnf(matrix-2461, plain, ( ~class_Divides_Osemiring__div(_u3564) | ( _u3565 = c_Groups_Ozero__class_Ozero(_u3564)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3564), _u3565), _u3565) = c_Groups_Oone__class_Oone(_u3564)) )).
% 27.68/27.93 cnf(matrix-2462, plain, ( ~class_Divides_Osemiring__div(_u3566) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3566), c_Divides_Odiv__class_Omod(_u3566, _u3567, _u3568)), _u3568) = c_Groups_Ozero__class_Ozero(_u3566)) )).
% 27.68/27.93 cnf(matrix-2463, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3569)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3569), _u3570)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3571), _u3570)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3571), _u3569))) )).
% 27.68/27.93 cnf(matrix-2464, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3572)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3573), _u3572)), _u3572) = _u3573) )).
% 27.68/27.93 cnf(matrix-2465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3574)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3574), _u3575)), _u3574) = _u3575) )).
% 27.68/27.93 cnf(matrix-2466, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3576)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3576), _u3577)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3576), _u3578)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3577), _u3578)) )).
% 27.68/27.93 cnf(matrix-2467, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3580), _u3579)), _u3580)) )).
% 27.68/27.93 cnf(matrix-2468, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3583), _u3585) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3585 = 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)), _u3583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3583), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2469, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3583), _u3585) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3585 = 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)), _u3583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3585), _u3583)) )).
% 27.68/27.93 cnf(matrix-2470, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3583), _u3585) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3585 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3583), _u3585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3583), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2471, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3583), _u3585) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3585 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3583), _u3585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3585), _u3583)) )).
% 27.68/27.93 cnf(matrix-2472, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3584), _u3586) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3586 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2473, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3584), _u3586) = 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)), _u3584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3584), _u3586)) )).
% 27.68/27.93 cnf(matrix-2474, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3584), _u3586) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3584), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3586), _u3584)) )).
% 27.68/27.93 cnf(matrix-2475, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3587)) | ~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), _u3588), _u3587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3588)) )).
% 27.68/27.93 cnf(matrix-2476, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3587)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3588), _u3587))) )).
% 27.68/27.93 cnf(matrix-2477, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3589)) | ~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), _u3590), _u3589))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3589), _u3590)) )).
% 27.68/27.93 cnf(matrix-2478, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3589), _u3590)) | 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), _u3590), _u3589))) )).
% 27.68/27.93 cnf(matrix-2479, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3591)) | ~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), _u3591), _u3592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3592), _u3591)) )).
% 27.68/27.93 cnf(matrix-2480, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3591)) | ~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), _u3591), _u3592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3592)) )).
% 27.68/27.93 cnf(matrix-2481, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3592), _u3591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3592)) | 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), _u3591), _u3592))) )).
% 27.68/27.93 cnf(matrix-2482, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3594), _u3595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3593), _u3595)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3593), _u3594))) )).
% 27.68/27.93 cnf(matrix-2483, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3597), 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), _u3596), _u3597)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2484, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3598), _u3599)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3598), _u3599) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2485, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3600), 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), _u3601), _u3600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3601), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2486, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3600), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3601), 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), _u3601), _u3600))) )).
% 27.68/27.93 cnf(matrix-2487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3602), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3602), _u3603)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2488, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3604), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3605), _u3606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3604), _u3605)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3604), _u3606))) )).
% 27.68/27.93 cnf(matrix-2489, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3607), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3608), _u3607)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3607), _u3608) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2490, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3609), _u3610)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3609), _u3611)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3610), _u3611))) )).
% 27.68/27.93 cnf(matrix-2491, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3612), _u3613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3614), 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), _u3613), _u3614)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3612), _u3614))) )).
% 27.68/27.93 cnf(matrix-2492, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3616, _u3615)), _u3615)) )).
% 27.68/27.93 cnf(matrix-2493, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3617)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3617), _u3618)), _u3617)) )).
% 27.68/27.93 cnf(matrix-2494, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3619)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3621), _u3619)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3620), _u3621)), _u3619)) )).
% 27.68/27.93 cnf(matrix-2495, 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), _u3622), _u3623)), _u3624)), _u3623) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3624), _u3623)) )).
% 27.68/27.93 cnf(matrix-2496, plain, ( ( _u3625 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3626), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3625), _u3626))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3625, _u3626))) )).
% 27.68/27.93 cnf(matrix-2497, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3627), _u3628)), _u3629) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3627), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3628), _u3629))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3627), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3628, _u3629))), _u3629))) )).
% 27.68/27.93 cnf(matrix-2498, 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), _u3630), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3631), _u3630))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3631, _u3630))), _u3632) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3631), _u3632)) )).
% 27.68/27.93 cnf(matrix-2499, 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), _u3633), _u3634)), _u3634)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3633, _u3634))), _u3635) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3633), _u3635)) )).
% 27.68/27.93 cnf(matrix-2500, plain, ( ~class_Divides_Osemiring__div(_u3636) | ( _u3637 = c_Groups_Ozero__class_Ozero(_u3636)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3636), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3636), _u3638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3636), _u3637), _u3639))), _u3637) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3636), _u3639), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3636), _u3638), _u3637))) )).
% 27.68/27.93 cnf(matrix-2501, plain, ( ~class_Divides_Osemiring__div(_u3640) | ( _u3641 = c_Groups_Ozero__class_Ozero(_u3640)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3640), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3640), _u3642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3640), _u3643), _u3641))), _u3641) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3640), _u3643), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3640), _u3642), _u3641))) )).
% 27.68/27.93 cnf(matrix-2502, plain, ( ~class_Divides_Osemiring__div(_u3644) | ( _u3645 = c_Groups_Ozero__class_Ozero(_u3644)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3644), _u3646), _u3645)), _u3645) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3644), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3644), _u3646), _u3645)), c_Groups_Oone__class_Oone(_u3644))) )).
% 27.68/27.93 cnf(matrix-2503, plain, ( ~class_Divides_Osemiring__div(_u3647) | ( _u3648 = c_Groups_Ozero__class_Ozero(_u3647)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3647), _u3648), _u3649)), _u3648) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3647), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3647), _u3649), _u3648)), c_Groups_Oone__class_Oone(_u3647))) )).
% 27.68/27.93 cnf(matrix-2504, plain, ( ~class_Divides_Osemiring__div(_u3650) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3650), c_Divides_Odiv__class_Omod(_u3650, _u3651, _u3652)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3650), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3650), _u3651), _u3652)), _u3652)) = _u3651) )).
% 27.68/27.93 cnf(matrix-2505, plain, ( ~class_Divides_Osemiring__div(_u3653) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3653), _u3654), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3653), _u3655), _u3654))), c_Divides_Odiv__class_Omod(_u3653, _u3655, _u3654)) = _u3655) )).
% 27.68/27.93 cnf(matrix-2506, plain, ( ~class_Divides_Osemiring__div(_u3656) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3656), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3656), _u3657), _u3658)), _u3658)), c_Divides_Odiv__class_Omod(_u3656, _u3657, _u3658)) = _u3657) )).
% 27.68/27.93 cnf(matrix-2507, plain, ( ~class_Divides_Osemiring__div(_u3659) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3659), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3659), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3659), _u3660), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3659), _u3661), _u3660))), c_Divides_Odiv__class_Omod(_u3659, _u3661, _u3660))), _u3662) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3659), _u3661), _u3662)) )).
% 27.68/27.93 cnf(matrix-2508, plain, ( ~class_Divides_Osemiring__div(_u3663) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3663), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3663), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3663), _u3664), _u3665)), _u3665)), c_Divides_Odiv__class_Omod(_u3663, _u3664, _u3665))), _u3666) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3663), _u3664), _u3666)) )).
% 27.68/27.93 cnf(matrix-2509, plain, ( ~hBOOL(hAPP(_u3674, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3676), _u3678))) | ( _u3678 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3674, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-2510, plain, ( ~hBOOL(hAPP(_u3674, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3676), _u3678))) | ( _u3678 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3667), _u3678)) | ( _u3676 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3678), _u3668)), _u3667)) | hBOOL(hAPP(_u3674, _u3668)) )).
% 27.68/27.93 cnf(matrix-2511, plain, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ( _u3679 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem70(_u3679, _u3677, _u3675)), _u3679)) )).
% 27.68/27.93 cnf(matrix-2512, plain, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ( _u3679 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3677 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3679), skolem69(_u3679, _u3677, _u3675))), skolem70(_u3679, _u3677, _u3675))) )).
% 27.68/27.93 cnf(matrix-2513, plain, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ( _u3679 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3675, skolem69(_u3679, _u3677, _u3675))) )).
% 27.68/27.93 cnf(matrix-2514, plain, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ~hBOOL(hAPP(_u3675, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3679 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2515, plain, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ~hBOOL(hAPP(_u3675, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem70(_u3679, _u3677, _u3675)), _u3679)) )).
% 27.68/27.93 cnf(matrix-2516, plain, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ~hBOOL(hAPP(_u3675, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3677 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3679), skolem69(_u3679, _u3677, _u3675))), skolem70(_u3679, _u3677, _u3675))) )).
% 27.68/27.93 cnf(matrix-2517, plain, ( hBOOL(hAPP(_u3675, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3677), _u3679))) | ~hBOOL(hAPP(_u3675, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3675, skolem69(_u3679, _u3677, _u3675))) )).
% 27.68/27.93 cnf(matrix-2518, plain, ( ~hBOOL(hAPP(_u3687, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3689, _u3691))) | ( _u3691 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3687, _u3689)) )).
% 27.68/27.93 cnf(matrix-2519, plain, ( ~hBOOL(hAPP(_u3687, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3689, _u3691))) | ( _u3691 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3680), _u3691)) | ( _u3689 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3691), _u3681)), _u3680)) | hBOOL(hAPP(_u3687, _u3680)) )).
% 27.68/27.93 cnf(matrix-2520, plain, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ( _u3692 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem72(_u3692, _u3690, _u3688)), _u3692)) )).
% 27.68/27.93 cnf(matrix-2521, plain, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ( _u3692 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3690 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3692), skolem71(_u3692, _u3690, _u3688))), skolem72(_u3692, _u3690, _u3688))) )).
% 27.68/27.93 cnf(matrix-2522, plain, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ( _u3692 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3688, skolem72(_u3692, _u3690, _u3688))) )).
% 27.68/27.93 cnf(matrix-2523, plain, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ~hBOOL(hAPP(_u3688, _u3690)) | ( _u3692 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2524, plain, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ~hBOOL(hAPP(_u3688, _u3690)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem72(_u3692, _u3690, _u3688)), _u3692)) )).
% 27.68/27.93 cnf(matrix-2525, plain, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ~hBOOL(hAPP(_u3688, _u3690)) | ( _u3690 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3692), skolem71(_u3692, _u3690, _u3688))), skolem72(_u3692, _u3690, _u3688))) )).
% 27.68/27.93 cnf(matrix-2526, plain, ( hBOOL(hAPP(_u3688, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3690, _u3692))) | ~hBOOL(hAPP(_u3688, _u3690)) | ~hBOOL(hAPP(_u3688, skolem72(_u3692, _u3690, _u3688))) )).
% 27.68/27.93 cnf(matrix-2527, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3693)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3694), _u3695)) | 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), _u3695), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3696, _u3693))), _u3694)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3695), _u3693))) )).
% 27.68/27.93 cnf(matrix-2528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3697)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3697), _u3698)), _u3697) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3700)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3699, _u3700)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3699), hAPP(c_Int_Onat, _u3700))) )).
% 27.68/27.93 cnf(matrix-2530, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3701)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3702)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3701), hAPP(c_Int_Onat, _u3702)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3701, _u3702))) )).
% 27.68/27.93 cnf(matrix-2531, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3703), _u3704)), _u3705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3703), hAPP(c_Nat_OSuc, _u3704)))) | ( _u3704 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3705), _u3703)) )).
% 27.68/27.93 cnf(matrix-2532, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3703)) | ( _u3704 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3705), _u3703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3703), _u3704)), _u3705)) )).
% 27.68/27.93 cnf(matrix-2533, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3703)) | ( _u3704 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3705), _u3703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3703), hAPP(c_Nat_OSuc, _u3704)))) )).
% 27.68/27.93 cnf(matrix-2534, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3708)) | ( c_SMT_Oz3div(_u3710, _u3708) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3710), _u3708)) )).
% 27.68/27.93 cnf(matrix-2535, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3709)) | ( c_SMT_Oz3div(_u3711, _u3709) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3711), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3709)))) )).
% 27.68/27.93 cnf(matrix-2536, plain, ( ( _u3712 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3713, _u3712) != 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), _u3713)), _u3712) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3713), _u3712))) )).
% 27.68/27.93 cnf(matrix-2537, plain, ( ( _u3712 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3713, _u3712) = 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), _u3713)), _u3712) = 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), _u3713), _u3712))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2538, plain, ( ( _u3714 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3715, _u3714) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3715), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3714)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3715), _u3714))) )).
% 27.68/27.93 cnf(matrix-2539, plain, ( ( _u3714 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3715, _u3714) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3715), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3714)) = 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), _u3715), _u3714))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2540, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3716), _u3717)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3717), _u3716) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3717), _u3716)), _u3716))) )).
% 27.68/27.93 cnf(matrix-2541, plain, ( ~class_Divides_Osemiring__div(_u3718) | ( _u3719 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3718), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3718), _u3719), _u3720)), _u3720)), c_Divides_Odiv__class_Omod(_u3718, _u3719, _u3720))) )).
% 27.68/27.93 cnf(matrix-2542, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3722)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3721)), hAPP(c_Int_Onat, _u3722)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u3721, _u3722))) )).
% 27.68/27.93 cnf(matrix-2543, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3727)) | ~hBOOL(hAPP(_u3726, _u3724)) | hBOOL(hAPP(_u3726, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3727), _u3725)))) | hBOOL(hAPP(_u3726, skolem73(_u3727, _u3726, _u3725))) )).
% 27.68/27.93 cnf(matrix-2544, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3727)) | ~hBOOL(hAPP(_u3726, _u3724)) | hBOOL(hAPP(_u3726, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3727), _u3725)))) | ~hBOOL(hAPP(_u3726, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem73(_u3727, _u3726, _u3725)), _u3725))) )).
% 27.68/27.93 cnf(matrix-2545, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3729), _u3730), _u3731)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3729), c_Groups_Ozero__class_Ozero(_u3729)), skolem74(_u3731, _u3730, _u3729))) )).
% 27.68/27.93 cnf(matrix-2546, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3729), _u3730), _u3731)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3729), skolem74(_u3731, _u3730, _u3729)), c_Groups_Oone__class_Oone(_u3729))) )).
% 27.68/27.93 cnf(matrix-2547, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3729), _u3730), _u3731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3729), skolem74(_u3731, _u3730, _u3729)), _u3730)), _u3731)) )).
% 27.68/27.93 cnf(matrix-2548, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3732), _u3733)), _u3734) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3732), _u3734)), _u3733)) )).
% 27.68/27.93 cnf(matrix-2549, plain, ( ~class_Groups_Oab__group__add(_u3735) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3735), _u3736), _u3737) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3735), _u3738), _u3739)) | ( _u3736 != _u3737) | ( _u3738 = _u3739) )).
% 27.68/27.93 cnf(matrix-2550, plain, ( ~class_Groups_Oab__group__add(_u3735) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3735), _u3736), _u3737) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3735), _u3738), _u3739)) | ( _u3738 != _u3739) | ( _u3736 = _u3737) )).
% 27.68/27.93 cnf(matrix-2551, plain, ( ~class_Rings_Oring__1(_u3740) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3740), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3741), _u3742)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3740), hAPP(c_Int_Oring__1__class_Oof__int(_u3740), _u3741)), hAPP(c_Int_Oring__1__class_Oof__int(_u3740), _u3742))) )).
% 27.68/27.93 cnf(matrix-2552, plain, ( ~class_Groups_Ominus(_u3743) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3744, _u3743)), _u3745), _u3746), _u3747) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3743), hAPP(_u3745, _u3747)), hAPP(_u3746, _u3747))) )).
% 27.68/27.93 cnf(matrix-2553, plain, ( ~class_Rings_Oring__1(_u3748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3749), _u3750)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3748), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3750), _u3749)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3748), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3748), _u3750)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3748), _u3749))) )).
% 27.68/27.93 cnf(matrix-2554, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3751), _u3752)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3752)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3751)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3752), _u3751))) )).
% 27.68/27.93 cnf(matrix-2555, plain, ( ~class_Groups_Oordered__ab__group__add(_u3753) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3753), _u3754), _u3755) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3753), _u3756), _u3757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3753), _u3754), _u3755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3753), _u3756), _u3757)) )).
% 27.68/27.93 cnf(matrix-2556, plain, ( ~class_Groups_Oordered__ab__group__add(_u3753) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3753), _u3754), _u3755) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3753), _u3756), _u3757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3753), _u3756), _u3757)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3753), _u3754), _u3755)) )).
% 27.68/27.93 cnf(matrix-2557, plain, ( ~class_Groups_Ogroup__add(_u3758) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3758), _u3759), _u3760) != c_Groups_Ozero__class_Ozero(_u3758)) | ( _u3759 = _u3760) )).
% 27.68/27.93 cnf(matrix-2558, plain, ( ~class_Groups_Ogroup__add(_u3758) | ( _u3759 != _u3760) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3758), _u3759), _u3760) = c_Groups_Ozero__class_Ozero(_u3758)) )).
% 27.68/27.93 cnf(matrix-2559, plain, ( ~class_Groups_Oab__group__add(_u3761) | ( _u3762 != _u3763) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3761), _u3762), _u3763) = c_Groups_Ozero__class_Ozero(_u3761)) )).
% 27.68/27.93 cnf(matrix-2560, plain, ( ~class_Groups_Oab__group__add(_u3761) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3761), _u3762), _u3763) != c_Groups_Ozero__class_Ozero(_u3761)) | ( _u3762 = _u3763) )).
% 27.68/27.93 cnf(matrix-2561, plain, ( ~class_Groups_Ogroup__add(_u3764) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3764), _u3765), _u3765) = c_Groups_Ozero__class_Ozero(_u3764)) )).
% 27.68/27.93 cnf(matrix-2562, plain, ( ~class_Groups_Ogroup__add(_u3766) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3766), _u3767), c_Groups_Ozero__class_Ozero(_u3766)) = _u3767) )).
% 27.68/27.93 cnf(matrix-2563, plain, ( ~class_Groups_Oordered__ab__group__add(_u3768) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3768), _u3769), _u3770) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3768), _u3771), _u3772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3768), _u3769), _u3770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3768), _u3771), _u3772)) )).
% 27.68/27.93 cnf(matrix-2564, plain, ( ~class_Groups_Oordered__ab__group__add(_u3768) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3768), _u3769), _u3770) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3768), _u3771), _u3772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3768), _u3771), _u3772)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3768), _u3769), _u3770)) )).
% 27.68/27.93 cnf(matrix-2565, plain, ( ~class_Groups_Ogroup__add(_u3773) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3773), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3773), _u3774), _u3775)), _u3775) = _u3774) )).
% 27.68/27.93 cnf(matrix-2566, plain, ( ~class_Groups_Ogroup__add(_u3776) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3776), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3776), _u3777), _u3778)), _u3778) = _u3777) )).
% 27.68/27.93 cnf(matrix-2567, plain, ( ~class_Groups_Oab__group__add(_u3779) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3779), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3779), _u3780), _u3781)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3779), _u3781), _u3780)) )).
% 27.68/27.93 cnf(matrix-2568, plain, ( ~class_Divides_Oring__div(_u3782) | ( c_Divides_Odiv__class_Omod(_u3782, _u3783, _u3784) != c_Divides_Odiv__class_Omod(_u3782, _u3785, _u3784)) | ( c_Divides_Odiv__class_Omod(_u3782, _u3786, _u3784) != c_Divides_Odiv__class_Omod(_u3782, _u3787, _u3784)) | ( c_Divides_Odiv__class_Omod(_u3782, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3782), _u3783), _u3786), _u3784) = c_Divides_Odiv__class_Omod(_u3782, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3782), _u3785), _u3787), _u3784)) )).
% 27.68/27.93 cnf(matrix-2569, plain, ( ~class_Divides_Oring__div(_u3788) | ( c_Divides_Odiv__class_Omod(_u3788, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3788), _u3789), _u3790), _u3791) = c_Divides_Odiv__class_Omod(_u3788, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3788), c_Divides_Odiv__class_Omod(_u3788, _u3789, _u3791)), c_Divides_Odiv__class_Omod(_u3788, _u3790, _u3791)), _u3791)) )).
% 27.68/27.93 cnf(matrix-2570, plain, ( ~class_Divides_Oring__div(_u3792) | ( c_Divides_Odiv__class_Omod(_u3792, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3792), _u3793), _u3794), _u3795) = c_Divides_Odiv__class_Omod(_u3792, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3792), c_Divides_Odiv__class_Omod(_u3792, _u3793, _u3795)), _u3794), _u3795)) )).
% 27.68/27.93 cnf(matrix-2571, plain, ( ~class_Divides_Oring__div(_u3796) | ( c_Divides_Odiv__class_Omod(_u3796, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3796), _u3797), _u3798), _u3799) = c_Divides_Odiv__class_Omod(_u3796, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3796), _u3797), c_Divides_Odiv__class_Omod(_u3796, _u3798, _u3799)), _u3799)) )).
% 27.68/27.93 cnf(matrix-2572, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3800), _u3801) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3801), _u3800) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3800 = _u3801) )).
% 27.68/27.93 cnf(matrix-2573, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3802), _u3802) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2574, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3803), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3803) )).
% 27.68/27.93 cnf(matrix-2575, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3804) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2576, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3805)), hAPP(c_Nat_OSuc, _u3806)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3805), _u3806)) )).
% 27.68/27.93 cnf(matrix-2577, 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, _u3807)), _u3808)), hAPP(c_Nat_OSuc, _u3809)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3807), _u3808)), _u3809)) )).
% 27.68/27.93 cnf(matrix-2578, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3810), _u3811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3810), _u3812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3812), _u3811)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3812), _u3810))) )).
% 27.68/27.93 cnf(matrix-2579, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3813), _u3814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3813), _u3815)), _u3814)) )).
% 27.68/27.93 cnf(matrix-2580, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3816), _u3817)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3816, _u3817) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3816), _u3817), _u3817)) )).
% 27.68/27.93 cnf(matrix-2581, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3820), _u3822)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3820, _u3822) = _u3820) )).
% 27.68/27.93 cnf(matrix-2582, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3821), _u3823)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3821, _u3823) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3821), _u3823), _u3823)) )).
% 27.68/27.93 cnf(matrix-2583, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3824), _u3825)), _u3825) = _u3824) )).
% 27.68/27.93 cnf(matrix-2584, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3826), _u3827)), _u3826) = _u3827) )).
% 27.68/27.93 cnf(matrix-2585, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3828), _u3829)), _u3830) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3828), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3829), _u3830))) )).
% 27.68/27.93 cnf(matrix-2586, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3831), _u3832)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3831), _u3833)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3832), _u3833)) )).
% 27.68/27.93 cnf(matrix-2587, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3834), _u3835)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3836), _u3835)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3834), _u3836)) )).
% 27.68/27.93 cnf(matrix-2588, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3837), _u3838)), _u3837)) )).
% 27.68/27.93 cnf(matrix-2589, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3839), _u3840)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3841), _u3840)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3841), _u3839))) )).
% 27.68/27.93 cnf(matrix-2590, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3842), _u3843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3842), _u3844)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3843), _u3844))) )).
% 27.68/27.93 cnf(matrix-2591, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3845), _u3846)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3846), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3846), _u3845)) = _u3845) )).
% 27.68/27.93 cnf(matrix-2592, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3847), _u3848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3847), _u3849)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3848), _u3847) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3849), _u3847)) | ( _u3848 = _u3849) )).
% 27.68/27.93 cnf(matrix-2593, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3847), _u3848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3847), _u3849)) | ( _u3848 != _u3849) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3848), _u3847) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3849), _u3847)) )).
% 27.68/27.93 cnf(matrix-2594, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3850), _u3851)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3850), _u3852)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3851), _u3850)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3852), _u3850)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3851), _u3852)) )).
% 27.68/27.93 cnf(matrix-2595, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3853), _u3854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3853), _u3855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3854), _u3853)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3855), _u3853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3854), _u3855)) )).
% 27.68/27.93 cnf(matrix-2596, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3853), _u3854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3853), _u3855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3854), _u3855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3854), _u3853)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3855), _u3853))) )).
% 27.68/27.93 cnf(matrix-2597, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3856), _u3857)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3857, _u3856) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3857), _u3856), _u3856)) )).
% 27.68/27.93 cnf(matrix-2598, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3858), _u3859)), _u3860) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3858), _u3860)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3859), _u3860))) )).
% 27.68/27.93 cnf(matrix-2599, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3861), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3862), _u3863)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3861), _u3862)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3861), _u3863))) )).
% 27.68/27.93 cnf(matrix-2600, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3864), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3865), _u3866)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3864), _u3865)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3864), _u3866))) )).
% 27.68/27.93 cnf(matrix-2601, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3867), _u3868)), _u3869) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3867), _u3869)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3868), _u3869))) )).
% 27.68/27.93 cnf(matrix-2602, 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, _u3870, _u3871)), _u3872), _u3871) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3870), _u3872), _u3871)) )).
% 27.68/27.93 cnf(matrix-2603, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3873), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3874, _u3875)), _u3875) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3873), _u3874), _u3875)) )).
% 27.68/27.93 cnf(matrix-2604, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3876)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3876), _u3877)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3877), _u3876)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3877)), hAPP(c_Int_Onat, _u3876))) )).
% 27.68/27.93 cnf(matrix-2605, plain, ( ~hBOOL(hAPP(_u3881, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3883), _u3885)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3885), _u3883)) | hBOOL(hAPP(_u3881, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3883)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3885)))) )).
% 27.68/27.93 cnf(matrix-2606, plain, ( ~hBOOL(hAPP(_u3881, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3883), _u3885)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3883), _u3885)) | hBOOL(hAPP(_u3881, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2607, plain, ( hBOOL(hAPP(_u3882, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3884), _u3886)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3886), _u3884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3884), _u3886)) )).
% 27.68/27.93 cnf(matrix-2608, plain, ( hBOOL(hAPP(_u3882, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3884), _u3886)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3886), _u3884)) | ~hBOOL(hAPP(_u3882, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2609, plain, ( hBOOL(hAPP(_u3882, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3884), _u3886)))) | ~hBOOL(hAPP(_u3882, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3884)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3886)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3884), _u3886)) )).
% 27.68/27.93 cnf(matrix-2610, plain, ( hBOOL(hAPP(_u3882, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3884), _u3886)))) | ~hBOOL(hAPP(_u3882, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3884)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3886)))) | ~hBOOL(hAPP(_u3882, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2611, plain, ( ~class_Groups_Oordered__ab__group__add(_u3887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3887), _u3888), _u3889)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3887), _u3888), _u3889)), c_Groups_Ozero__class_Ozero(_u3887))) )).
% 27.68/27.93 cnf(matrix-2612, plain, ( ~class_Groups_Oordered__ab__group__add(_u3887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3887), _u3888), _u3889)), c_Groups_Ozero__class_Ozero(_u3887))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3887), _u3888), _u3889)) )).
% 27.68/27.93 cnf(matrix-2613, plain, ( ~class_Groups_Oordered__ab__group__add(_u3890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3890), _u3891), _u3892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3890), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3890), _u3891), _u3892)), c_Groups_Ozero__class_Ozero(_u3890))) )).
% 27.68/27.93 cnf(matrix-2614, plain, ( ~class_Groups_Oordered__ab__group__add(_u3890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3890), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3890), _u3891), _u3892)), c_Groups_Ozero__class_Ozero(_u3890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3890), _u3891), _u3892)) )).
% 27.68/27.93 cnf(matrix-2615, plain, ( ~class_Rings_Oring(_u3893) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3893), _u3894), _u3895)), _u3896) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3893), _u3897), _u3895)), _u3898)) | ( _u3896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3893), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3893), _u3897), _u3894)), _u3895)), _u3898)) )).
% 27.68/27.93 cnf(matrix-2616, plain, ( ~class_Rings_Oring(_u3893) | ( _u3896 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3893), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3893), _u3897), _u3894)), _u3895)), _u3898)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3893), _u3894), _u3895)), _u3896) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3893), _u3897), _u3895)), _u3898)) )).
% 27.68/27.93 cnf(matrix-2617, plain, ( ~class_Rings_Oring(_u3899) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3900), _u3901)), _u3902) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3903), _u3901)), _u3904)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3899), _u3900), _u3903)), _u3901)), _u3902) = _u3904) )).
% 27.68/27.93 cnf(matrix-2618, plain, ( ~class_Rings_Oring(_u3899) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3899), _u3900), _u3903)), _u3901)), _u3902) != _u3904) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3900), _u3901)), _u3902) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3903), _u3901)), _u3904)) )).
% 27.68/27.93 cnf(matrix-2619, plain, ( ~class_Groups_Ogroup__add(_u3905) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3905), c_Groups_Ozero__class_Ozero(_u3905)), _u3906) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3905), _u3906)) )).
% 27.68/27.93 cnf(matrix-2620, plain, ( ~class_Groups_Ogroup__add(_u3907) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3907), _u3908), _u3909) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3907), _u3908), hAPP(c_Groups_Ouminus__class_Ouminus(_u3907), _u3909))) )).
% 27.68/27.93 cnf(matrix-2621, plain, ( ~class_Groups_Oab__group__add(_u3910) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3910), _u3911), _u3912) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3910), _u3911), hAPP(c_Groups_Ouminus__class_Ouminus(_u3910), _u3912))) )).
% 27.68/27.93 cnf(matrix-2622, plain, ( ~class_Groups_Ogroup__add(_u3913) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3913), _u3914), hAPP(c_Groups_Ouminus__class_Ouminus(_u3913), _u3915)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3913), _u3914), _u3915)) )).
% 27.68/27.93 cnf(matrix-2623, plain, ( ~class_Rings_Ocomm__ring__1(_u3916) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3916), _u3917), _u3918) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3916), _u3917), hAPP(c_Groups_Ouminus__class_Ouminus(_u3916), _u3918))) )).
% 27.68/27.93 cnf(matrix-2624, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3921), _u3923)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3921), _u3923)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2625, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3922), _u3924)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3922), _u3924)) )).
% 27.68/27.93 cnf(matrix-2626, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3925)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3926)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3926), _u3925)), _u3926)) )).
% 27.68/27.93 cnf(matrix-2627, 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), _u3929), _u3931))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3931), _u3929)) )).
% 27.68/27.93 cnf(matrix-2628, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3932), _u3930)) | 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), _u3930), _u3932))) )).
% 27.68/27.93 cnf(matrix-2629, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3933), _u3934)), hAPP(c_Nat_OSuc, _u3933))) )).
% 27.68/27.93 cnf(matrix-2630, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3935), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3935), _u3936)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3937), _u3938)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3937), _u3938) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2632, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3941), _u3943) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3941), _u3943)) )).
% 27.68/27.93 cnf(matrix-2633, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3942), _u3944)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3942), _u3944) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2634, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3948), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3950), _u3952))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3948), _u3952)), _u3950)) )).
% 27.68/27.93 cnf(matrix-2635, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3949), _u3953)), _u3951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3949), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3951), _u3953))) )).
% 27.68/27.93 cnf(matrix-2636, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3954), _u3955)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3955), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3954), _u3955)) = _u3954) )).
% 27.68/27.93 cnf(matrix-2637, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3956), _u3957)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3957)), _u3956) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3957), _u3956))) )).
% 27.68/27.93 cnf(matrix-2638, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3958), _u3959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3958), _u3960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3959), _u3958)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3960), _u3958))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3959), _u3960)) )).
% 27.68/27.93 cnf(matrix-2639, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3958), _u3959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3958), _u3960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3959), _u3960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3959), _u3958)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3960), _u3958))) )).
% 27.68/27.93 cnf(matrix-2640, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3961), _u3962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3963), _u3961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3961), _u3963)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3962), _u3963))) )).
% 27.68/27.93 cnf(matrix-2641, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3964), _u3965)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3965), _u3966)), _u3964) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3965), _u3964)), _u3966)) )).
% 27.68/27.93 cnf(matrix-2642, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3967), _u3968)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3968), _u3967)), _u3969) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3968), _u3969)), _u3967)) )).
% 27.68/27.93 cnf(matrix-2643, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3970), _u3971)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3972), _u3971)), _u3970) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3972), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3971), _u3970))) )).
% 27.68/27.93 cnf(matrix-2644, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3973), _u3974)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3974), _u3973) != _u3975) | ( _u3974 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3975), _u3973)) )).
% 27.68/27.93 cnf(matrix-2645, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3973), _u3974)) | ( _u3974 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3975), _u3973)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3974), _u3973) = _u3975) )).
% 27.68/27.93 cnf(matrix-2646, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3976), _u3977)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3977), _u3976)), _u3976) = _u3977) )).
% 27.68/27.93 cnf(matrix-2647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3978), _u3979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3980), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3979), _u3978))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3980), _u3978)), _u3979)) )).
% 27.68/27.93 cnf(matrix-2648, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3978), _u3979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3980), _u3978)), _u3979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3980), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3979), _u3978))) )).
% 27.68/27.93 cnf(matrix-2649, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3981), _u3982)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3983), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3982), _u3981)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3983), _u3982)), _u3981)) )).
% 27.68/27.93 cnf(matrix-2650, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3984), _u3985)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3984), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3985), _u3984)) = _u3985) )).
% 27.68/27.93 cnf(matrix-2651, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3986), _u3987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3987), _u3988)), _u3986))) )).
% 27.68/27.93 cnf(matrix-2652, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3992), _u3994)), _u3996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3992), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3996), _u3994))) )).
% 27.68/27.93 cnf(matrix-2653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3993), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3997), _u3995))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3993), _u3995)), _u3997)) )).
% 27.68/27.93 cnf(matrix-2654, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3998), _u3999)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4000), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3999), _u3998)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4000), _u3998)), _u3999)) )).
% 27.68/27.93 cnf(matrix-2655, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4001), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4002)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4001), _u4002)) )).
% 27.68/27.93 cnf(matrix-2656, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4003), _u4004) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4003), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4004))) )).
% 27.68/27.93 cnf(matrix-2657, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4005), hAPP(c_Nat_OSuc, _u4006)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4005), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4006)) )).
% 27.68/27.93 cnf(matrix-2658, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4007)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4007) )).
% 27.68/27.93 cnf(matrix-2659, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4008, _u4009) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4008), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4008), _u4009)), _u4009))) )).
% 27.68/27.93 cnf(matrix-2660, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4010), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4011), _u4010)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4011), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4011, _u4010))) )).
% 27.68/27.93 cnf(matrix-2661, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4012), _u4013)), _u4013) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4012), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4012, _u4013))) )).
% 27.68/27.93 cnf(matrix-2662, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4014), _u4015)) | ( c_Nat__Transfer_Otsub(_u4015, _u4014) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4015), _u4014)) )).
% 27.68/27.93 cnf(matrix-2663, plain, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4016), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4017)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4016), _u4017))) )).
% 27.68/27.93 cnf(matrix-2664, plain, ( ~class_Rings_Oordered__ring(_u4018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4018), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), _u4019), _u4020)), _u4021)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), _u4022), _u4020)), _u4023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4018), _u4021), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4018), _u4022), _u4019)), _u4020)), _u4023))) )).
% 27.68/27.93 cnf(matrix-2665, plain, ( ~class_Rings_Oordered__ring(_u4018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4018), _u4021), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4018), _u4022), _u4019)), _u4020)), _u4023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4018), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), _u4019), _u4020)), _u4021)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), _u4022), _u4020)), _u4023))) )).
% 27.68/27.93 cnf(matrix-2666, plain, ( ~class_Rings_Oordered__ring(_u4024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4024), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), _u4025), _u4026)), _u4027)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), _u4028), _u4026)), _u4029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4024), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4024), _u4025), _u4028)), _u4026)), _u4027)), _u4029)) )).
% 27.68/27.93 cnf(matrix-2667, plain, ( ~class_Rings_Oordered__ring(_u4024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4024), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4024), _u4025), _u4028)), _u4026)), _u4027)), _u4029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4024), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), _u4025), _u4026)), _u4027)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), _u4028), _u4026)), _u4029))) )).
% 27.68/27.93 cnf(matrix-2668, plain, ( ~class_Rings_Oordered__ring(_u4030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4030), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), _u4031), _u4032)), _u4033)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), _u4034), _u4032)), _u4035))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4030), _u4033), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4030), _u4034), _u4031)), _u4032)), _u4035))) )).
% 27.68/27.93 cnf(matrix-2669, plain, ( ~class_Rings_Oordered__ring(_u4030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4030), _u4033), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4030), _u4034), _u4031)), _u4032)), _u4035))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4030), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), _u4031), _u4032)), _u4033)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), _u4034), _u4032)), _u4035))) )).
% 27.68/27.93 cnf(matrix-2670, plain, ( ~class_Rings_Oordered__ring(_u4036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4037), _u4038)), _u4039)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4040), _u4038)), _u4041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4036), _u4037), _u4040)), _u4038)), _u4039)), _u4041)) )).
% 27.68/27.93 cnf(matrix-2671, plain, ( ~class_Rings_Oordered__ring(_u4036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4036), _u4037), _u4040)), _u4038)), _u4039)), _u4041)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4037), _u4038)), _u4039)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4040), _u4038)), _u4041))) )).
% 27.68/27.93 cnf(matrix-2672, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4042)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4042), hAPP(c_Nat_OSuc, _u4043))), _u4042)) )).
% 27.68/27.93 cnf(matrix-2673, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4044)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4044), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u4044) )).
% 27.68/27.93 cnf(matrix-2674, plain, ( ~hBOOL(hAPP(_u4050, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4052), _u4054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4052), _u4054)) | hBOOL(hAPP(_u4050, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-2675, plain, ( ~hBOOL(hAPP(_u4050, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4052), _u4054))) | ( _u4052 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4054), _u4045)) | hBOOL(hAPP(_u4050, _u4045)) )).
% 27.68/27.93 cnf(matrix-2676, plain, ( hBOOL(hAPP(_u4051, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4053), _u4055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4053), _u4055)) | ( _u4053 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4055), skolem75(_u4055, _u4053, _u4051))) )).
% 27.68/27.93 cnf(matrix-2677, plain, ( hBOOL(hAPP(_u4051, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4053), _u4055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4053), _u4055)) | ~hBOOL(hAPP(_u4051, skolem75(_u4055, _u4053, _u4051))) )).
% 27.68/27.93 cnf(matrix-2678, plain, ( hBOOL(hAPP(_u4051, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4053), _u4055))) | ~hBOOL(hAPP(_u4051, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4053 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4055), skolem75(_u4055, _u4053, _u4051))) )).
% 27.68/27.93 cnf(matrix-2679, plain, ( hBOOL(hAPP(_u4051, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4053), _u4055))) | ~hBOOL(hAPP(_u4051, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4051, skolem75(_u4055, _u4053, _u4051))) )).
% 27.68/27.93 cnf(matrix-2680, plain, ( ~hBOOL(hAPP(_u4061, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4063), _u4065))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4063), _u4065)) | hBOOL(hAPP(_u4061, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-2681, plain, ( ~hBOOL(hAPP(_u4061, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4063), _u4065))) | ( _u4063 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4065), _u4056)) | hBOOL(hAPP(_u4061, _u4056)) )).
% 27.68/27.93 cnf(matrix-2682, plain, ( hBOOL(hAPP(_u4062, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4064), _u4066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4064), _u4066)) | ( _u4064 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4066), skolem76(_u4066, _u4064, _u4062))) )).
% 27.68/27.93 cnf(matrix-2683, plain, ( hBOOL(hAPP(_u4062, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4064), _u4066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4064), _u4066)) | ~hBOOL(hAPP(_u4062, skolem76(_u4066, _u4064, _u4062))) )).
% 27.68/27.93 cnf(matrix-2684, plain, ( hBOOL(hAPP(_u4062, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4064), _u4066))) | ~hBOOL(hAPP(_u4062, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4064 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4066), skolem76(_u4066, _u4064, _u4062))) )).
% 27.68/27.93 cnf(matrix-2685, plain, ( hBOOL(hAPP(_u4062, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4064), _u4066))) | ~hBOOL(hAPP(_u4062, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4062, skolem76(_u4066, _u4064, _u4062))) )).
% 27.68/27.93 cnf(matrix-2686, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4069), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4071), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4069), _u4071)) )).
% 27.68/27.93 cnf(matrix-2687, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4070), _u4072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4070), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4072), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 27.68/27.93 cnf(matrix-2688, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4073), _u4074)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4074), _u4073))), _u4075) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4074)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4073), _u4075))) )).
% 27.68/27.93 cnf(matrix-2689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4076), _u4077)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4078), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4077), _u4076))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4078), _u4076)), hAPP(c_Nat_OSuc, _u4077))) )).
% 27.68/27.93 cnf(matrix-2690, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4079), _u4080)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4079), _u4081)), _u4082) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4080), _u4081)), _u4083)) | ( _u4082 = 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), _u4080), _u4079)), _u4081)), _u4083)) )).
% 27.68/27.93 cnf(matrix-2691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4079), _u4080)) | ( _u4082 != 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), _u4080), _u4079)), _u4081)), _u4083)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4079), _u4081)), _u4082) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4080), _u4081)), _u4083)) )).
% 27.68/27.93 cnf(matrix-2692, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4084), _u4085)) | ( 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), _u4084), _u4086)), _u4087)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4085), _u4086)), _u4088)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4087), 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), _u4085), _u4084)), _u4086)), _u4088))) )).
% 27.68/27.93 cnf(matrix-2693, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4089), _u4090)) | ~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), _u4089), _u4091)), _u4092)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4090), _u4091)), _u4093))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4092), 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), _u4090), _u4089)), _u4091)), _u4093))) )).
% 27.68/27.93 cnf(matrix-2694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4089), _u4090)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4092), 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), _u4090), _u4089)), _u4091)), _u4093))) | 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), _u4089), _u4091)), _u4092)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4090), _u4091)), _u4093))) )).
% 27.68/27.93 cnf(matrix-2695, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4094), _u4095)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4095), _u4096)), _u4097) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4094), _u4096)), _u4098)) | ( 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), _u4095), _u4094)), _u4096)), _u4097) = _u4098) )).
% 27.68/27.93 cnf(matrix-2696, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4094), _u4095)) | ( 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), _u4095), _u4094)), _u4096)), _u4097) != _u4098) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4095), _u4096)), _u4097) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4094), _u4096)), _u4098)) )).
% 27.68/27.93 cnf(matrix-2697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4099), _u4100)) | ( 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), _u4100), _u4101)), _u4102)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4099), _u4101)), _u4103)) = 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), _u4100), _u4099)), _u4101)), _u4102)), _u4103)) )).
% 27.68/27.93 cnf(matrix-2698, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4104), _u4105)) | ~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), _u4105), _u4106)), _u4107)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4104), _u4106)), _u4108))) | 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), _u4105), _u4104)), _u4106)), _u4107)), _u4108)) )).
% 27.68/27.93 cnf(matrix-2699, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4104), _u4105)) | ~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), _u4105), _u4104)), _u4106)), _u4107)), _u4108)) | 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), _u4105), _u4106)), _u4107)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4104), _u4106)), _u4108))) )).
% 27.68/27.93 cnf(matrix-2700, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4111, _u4113) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4111, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4113)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2701, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4112, _u4114) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4112, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4114)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4112, _u4114)), _u4114)) )).
% 27.68/27.93 cnf(matrix-2702, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4117, _u4119) != 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), _u4117), _u4119) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2703, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4118, _u4120) = 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), _u4118), _u4120) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4120), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4118, _u4120))) )).
% 27.68/27.93 cnf(matrix-2704, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4121), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4122), _u4121)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4122), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4122, _u4121))) )).
% 27.68/27.93 cnf(matrix-2705, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4123, _u4124) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4123), _u4124)), _u4124))) )).
% 27.68/27.93 cnf(matrix-2706, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4127), _u4129)) | ( c_Nat__Transfer_Otsub(_u4129, _u4127) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4129), _u4127)) )).
% 27.68/27.93 cnf(matrix-2707, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4128), _u4130)) | ( c_Nat__Transfer_Otsub(_u4130, _u4128) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2708, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4131)) | ( _u4131 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4131), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-2709, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4132)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4132), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u4132) )).
% 27.68/27.93 cnf(matrix-2710, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4133), _u4134)) | ~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), _u4133), _u4135)), _u4136)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4134), _u4135)), _u4137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4136), 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), _u4134), _u4133)), _u4135)), _u4137))) )).
% 27.68/27.93 cnf(matrix-2711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4133), _u4134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4136), 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), _u4134), _u4133)), _u4135)), _u4137))) | 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), _u4133), _u4135)), _u4136)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4134), _u4135)), _u4137))) )).
% 27.68/27.93 cnf(matrix-2712, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4138), _u4139)) | ~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), _u4139), _u4140)), _u4141)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4138), _u4140)), _u4142))) | 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), _u4139), _u4138)), _u4140)), _u4141)), _u4142)) )).
% 27.68/27.93 cnf(matrix-2713, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4138), _u4139)) | ~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), _u4139), _u4138)), _u4140)), _u4141)), _u4142)) | 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), _u4139), _u4140)), _u4141)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4138), _u4140)), _u4142))) )).
% 27.68/27.93 cnf(matrix-2714, plain, ( ( _u4145 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4145), _u4147) = _u4147) )).
% 27.68/27.93 cnf(matrix-2715, plain, ( ( _u4146 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4146), _u4148) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4146), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4148))) )).
% 27.68/27.93 cnf(matrix-2716, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4150), _u4149)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4150), _u4149) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2717, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4150), _u4149)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4150), _u4149) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4150), _u4149)), _u4149))) )).
% 27.68/27.93 cnf(matrix-2718, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4152), _u4151)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4152), _u4151) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4152), _u4151)), _u4151))) )).
% 27.68/27.93 cnf(matrix-2719, plain, ( ( _u4155 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4155), _u4157) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2720, plain, ( ( _u4156 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4156), _u4158) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4156), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4158))) )).
% 27.68/27.93 cnf(matrix-2721, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4159)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4160)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4160), _u4159)), _u4160) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4160), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4159), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 27.68/27.93 cnf(matrix-2722, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4165)) | ~hBOOL(hAPP(_u4164, _u4162)) | hBOOL(hAPP(_u4164, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4162), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4165), _u4163)))) | hBOOL(hAPP(_u4164, skolem77(_u4165, _u4164, _u4163))) )).
% 27.68/27.93 cnf(matrix-2723, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4165)) | ~hBOOL(hAPP(_u4164, _u4162)) | hBOOL(hAPP(_u4164, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4162), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4165), _u4163)))) | ~hBOOL(hAPP(_u4164, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem77(_u4165, _u4164, _u4163)), _u4163))) )).
% 27.68/27.93 cnf(matrix-2724, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4167), 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), _u4167), _u4168))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4166))), _u4168)) )).
% 27.68/27.93 cnf(matrix-2725, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4170), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4171), 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), _u4171), _u4170))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4169)))) )).
% 27.68/27.93 cnf(matrix-2726, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4173, _u4174) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4175, _u4174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4175), _u4173)) | ( _u4173 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4175), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4174), skolem78(_u4175, _u4174, _u4173)))) )).
% 27.68/27.93 cnf(matrix-2727, plain, ( ~hBOOL(hAPP(_u4178, _u4179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4179), _u4177)) | hBOOL(hAPP(_u4178, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem79(_u4179, _u4178, _u4177)), _u4177)) )).
% 27.68/27.93 cnf(matrix-2728, plain, ( ~hBOOL(hAPP(_u4178, _u4179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4179), _u4177)) | hBOOL(hAPP(_u4178, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u4178, skolem79(_u4179, _u4178, _u4177))) )).
% 27.68/27.93 cnf(matrix-2729, plain, ( ~hBOOL(hAPP(_u4178, _u4179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4179), _u4177)) | hBOOL(hAPP(_u4178, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4178, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem79(_u4179, _u4178, _u4177)), _u4177))) )).
% 27.68/27.93 cnf(matrix-2730, 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), _u4180))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4180) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4180)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 27.68/27.93 cnf(matrix-2731, plain, ( ( _u4183 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u4185, _u4183) = _u4185) )).
% 27.68/27.93 cnf(matrix-2732, plain, ( ( _u4184 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u4186, _u4184) = c_Nitpick_Onat__gcd(_u4184, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4186, _u4184))) )).
% 27.68/27.93 cnf(matrix-2733, plain, ( ~class_Rings_Oring__1(_u4187) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4187), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4188), _u4189)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4187), hAPP(c_Int_Oring__1__class_Oof__int(_u4187), _u4188)), _u4189)) )).
% 27.68/27.93 cnf(matrix-2734, plain, ( ~class_Int_Onumber__ring(_u4190) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4190), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4191)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4190), _u4191)) )).
% 27.68/27.93 cnf(matrix-2735, plain, ( ~class_Int_Onumber(_u4192) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4192), _u4193) != _u4194) | ( _u4194 = hAPP(c_Int_Onumber__class_Onumber__of(_u4192), _u4193)) )).
% 27.68/27.93 cnf(matrix-2736, plain, ( ~class_Int_Onumber(_u4192) | ( _u4194 != hAPP(c_Int_Onumber__class_Onumber__of(_u4192), _u4193)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4192), _u4193) = _u4194) )).
% 27.68/27.93 cnf(matrix-2737, plain, ( ~class_Int_Onumber__ring(_u4195) | ~class_Int_Oring__char__0(_u4195) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4195), _u4196) != hAPP(c_Int_Onumber__class_Onumber__of(_u4195), _u4197)) | ( _u4196 = _u4197) )).
% 27.68/27.93 cnf(matrix-2738, plain, ( ~class_Int_Onumber__ring(_u4195) | ~class_Int_Oring__char__0(_u4195) | ( _u4196 != _u4197) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4195), _u4196) = hAPP(c_Int_Onumber__class_Onumber__of(_u4195), _u4197)) )).
% 27.68/27.93 cnf(matrix-2739, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4198) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4198), hAPP(c_Groups_Oabs__class_Oabs(_u4198), _u4199)) = hAPP(c_Groups_Oabs__class_Oabs(_u4198), _u4199)) )).
% 27.68/27.93 cnf(matrix-2740, 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), _u4200)), _u4201))) )).
% 27.68/27.93 cnf(matrix-2741, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4202) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4202), _u4203), hAPP(c_Groups_Oabs__class_Oabs(_u4202), _u4203))) )).
% 27.68/27.93 cnf(matrix-2742, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4204), hAPP(c_Groups_Oabs__class_Oabs(_u4204), _u4205)), _u4206)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4204), _u4205), _u4206)) )).
% 27.68/27.93 cnf(matrix-2743, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4207) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4207), c_Groups_Ozero__class_Ozero(_u4207)) = c_Groups_Ozero__class_Ozero(_u4207)) )).
% 27.68/27.93 cnf(matrix-2744, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4208) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4208), _u4209) != c_Groups_Ozero__class_Ozero(_u4208)) | ( _u4209 = c_Groups_Ozero__class_Ozero(_u4208)) )).
% 27.68/27.93 cnf(matrix-2745, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4208) | ( _u4209 != c_Groups_Ozero__class_Ozero(_u4208)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4208), _u4209) = c_Groups_Ozero__class_Ozero(_u4208)) )).
% 27.68/27.93 cnf(matrix-2746, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4210) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4210), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4210), hAPP(c_Groups_Oabs__class_Oabs(_u4210), _u4211)), hAPP(c_Groups_Oabs__class_Oabs(_u4210), _u4212))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4210), hAPP(c_Groups_Oabs__class_Oabs(_u4210), _u4211)), hAPP(c_Groups_Oabs__class_Oabs(_u4210), _u4212))) )).
% 27.68/27.93 cnf(matrix-2747, plain, ( ~class_Rings_Olinordered__idom(_u4213) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4213), _u4214), _u4215)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4213), hAPP(c_Groups_Oabs__class_Oabs(_u4213), _u4214)), hAPP(c_Groups_Oabs__class_Oabs(_u4213), _u4215))) )).
% 27.68/27.93 cnf(matrix-2748, plain, ( ~class_Rings_Olinordered__idom(_u4216) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4216), hAPP(c_Groups_Oabs__class_Oabs(_u4216), _u4217)), hAPP(c_Groups_Oabs__class_Oabs(_u4216), _u4217)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4216), _u4217), _u4217)) )).
% 27.68/27.93 cnf(matrix-2749, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4218) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4218), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4218), _u4219), _u4220)) = hAPP(c_Groups_Oabs__class_Oabs(_u4218), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4218), _u4220), _u4219))) )).
% 27.68/27.93 cnf(matrix-2750, plain, ( ~class_Rings_Olinordered__idom(_u4221) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4221), c_Groups_Oone__class_Oone(_u4221)) = c_Groups_Oone__class_Oone(_u4221)) )).
% 27.68/27.93 cnf(matrix-2751, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4222) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4222), hAPP(c_Groups_Ouminus__class_Ouminus(_u4222), _u4223)) = hAPP(c_Groups_Oabs__class_Oabs(_u4222), _u4223)) )).
% 27.68/27.93 cnf(matrix-2752, plain, ( ~class_Rings_Ocomm__semiring__1(_u4224) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4224), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4224), _u4225), _u4226)), _u4227) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4224), hAPP(hAPP(c_Power_Opower__class_Opower(_u4224), _u4225), _u4227)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4224), _u4226), _u4227))) )).
% 27.68/27.93 cnf(matrix-2753, plain, ( ~class_Rings_Olinordered__idom(_u4228) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4228), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4228), _u4229)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4228), _u4229)) )).
% 27.68/27.93 cnf(matrix-2754, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4230)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4230)) )).
% 27.68/27.93 cnf(matrix-2755, plain, ( ~class_Rings_Ocomm__semiring__1(_u4231) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4231), hAPP(hAPP(c_Power_Opower__class_Opower(_u4231), _u4232), _u4233)), _u4234) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4231), _u4232), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4233), _u4234))) )).
% 27.68/27.93 cnf(matrix-2756, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4235), _u4236)), _u4237) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4236), _u4237))) )).
% 27.68/27.93 cnf(matrix-2757, plain, ( ~class_Rings_Ocomm__semiring__1(_u4238) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4238), _u4239), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4239) )).
% 27.68/27.93 cnf(matrix-2758, 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, _u4240, _u4241)), _u4242), _u4241) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4240), _u4242), _u4241)) )).
% 27.68/27.93 cnf(matrix-2759, plain, ( ~class_Int_Onumber__ring(_u4243) | ~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), _u4244))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4243), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4244)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4243), _u4244)) )).
% 27.68/27.93 cnf(matrix-2760, plain, ( ~class_Int_Onumber__ring(_u4243) | 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), _u4244))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4243), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4244)) = c_Groups_Ozero__class_Ozero(_u4243)) )).
% 27.68/27.93 cnf(matrix-2761, plain, ( ~class_Int_Onumber__ring(_u4245) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4245), _u4246) = hAPP(c_Int_Oring__1__class_Oof__int(_u4245), _u4246)) )).
% 27.68/27.93 cnf(matrix-2762, plain, ( ~class_Int_Onumber__ring(_u4247) | ~class_Rings_Olinordered__idom(_u4247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4247), hAPP(c_Int_Onumber__class_Onumber__of(_u4247), _u4248)), c_Groups_Ozero__class_Ozero(_u4247))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4247), hAPP(c_Int_Onumber__class_Onumber__of(_u4247), _u4248)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4247), hAPP(c_Int_Onumber__class_Onumber__of(_u4247), _u4248))) )).
% 27.68/27.93 cnf(matrix-2763, plain, ( ~class_Int_Onumber__ring(_u4247) | ~class_Rings_Olinordered__idom(_u4247) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4247), hAPP(c_Int_Onumber__class_Onumber__of(_u4247), _u4248)), c_Groups_Ozero__class_Ozero(_u4247))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4247), hAPP(c_Int_Onumber__class_Onumber__of(_u4247), _u4248)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4247), _u4248)) )).
% 27.68/27.93 cnf(matrix-2764, 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), _u4251)), _u4253))) | ( _u4251 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4253 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2765, 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), _u4252)), _u4254))) | ( _u4252 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2766, 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), _u4252)), _u4254))) | ( _u4254 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2767, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4255) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4255), c_Groups_Ozero__class_Ozero(_u4255)), _u4256)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4255), _u4256) = _u4256) )).
% 27.68/27.93 cnf(matrix-2768, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4257), hAPP(c_Groups_Oabs__class_Oabs(_u4257), _u4258)), c_Groups_Ozero__class_Ozero(_u4257))) | ( _u4258 = c_Groups_Ozero__class_Ozero(_u4257)) )).
% 27.68/27.93 cnf(matrix-2769, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4257) | ( _u4258 != c_Groups_Ozero__class_Ozero(_u4257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4257), hAPP(c_Groups_Oabs__class_Oabs(_u4257), _u4258)), c_Groups_Ozero__class_Ozero(_u4257))) )).
% 27.68/27.93 cnf(matrix-2770, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4259), c_Groups_Ozero__class_Ozero(_u4259)), hAPP(c_Groups_Oabs__class_Oabs(_u4259), _u4260))) )).
% 27.68/27.93 cnf(matrix-2771, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4261), hAPP(c_Groups_Oabs__class_Oabs(_u4261), _u4262)), c_Groups_Ozero__class_Ozero(_u4261))) )).
% 27.68/27.93 cnf(matrix-2772, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4263), c_Groups_Ozero__class_Ozero(_u4263)), hAPP(c_Groups_Oabs__class_Oabs(_u4263), _u4264))) | ( _u4264 != c_Groups_Ozero__class_Ozero(_u4263)) )).
% 27.68/27.93 cnf(matrix-2773, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4263) | ( _u4264 = c_Groups_Ozero__class_Ozero(_u4263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4263), c_Groups_Ozero__class_Ozero(_u4263)), hAPP(c_Groups_Oabs__class_Oabs(_u4263), _u4264))) )).
% 27.68/27.93 cnf(matrix-2774, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4265), c_Groups_Ozero__class_Ozero(_u4265)), _u4266)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4265), _u4266) = _u4266) )).
% 27.68/27.93 cnf(matrix-2775, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4267) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4267), hAPP(c_Groups_Oabs__class_Oabs(_u4267), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), _u4268), _u4269))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(c_Groups_Oabs__class_Oabs(_u4267), _u4268)), hAPP(c_Groups_Oabs__class_Oabs(_u4267), _u4269)))) )).
% 27.68/27.93 cnf(matrix-2776, plain, ( ~class_Rings_Olinordered__idom(_u4270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4270), hAPP(c_Groups_Oabs__class_Oabs(_u4270), _u4271)), _u4272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4270), hAPP(c_Groups_Oabs__class_Oabs(_u4270), _u4273)), _u4274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4270), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4270), hAPP(c_Groups_Oabs__class_Oabs(_u4270), _u4271)), hAPP(c_Groups_Oabs__class_Oabs(_u4270), _u4273))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4270), _u4272), _u4274))) )).
% 27.68/27.93 cnf(matrix-2777, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4275) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4275), hAPP(c_Groups_Oabs__class_Oabs(_u4275), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4275), hAPP(c_Groups_Oabs__class_Oabs(_u4275), _u4276)), hAPP(c_Groups_Oabs__class_Oabs(_u4275), _u4277)))), hAPP(c_Groups_Oabs__class_Oabs(_u4275), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4275), _u4276), _u4277)))) )).
% 27.68/27.93 cnf(matrix-2778, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4278) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4278), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4278), hAPP(c_Groups_Oabs__class_Oabs(_u4278), _u4279)), hAPP(c_Groups_Oabs__class_Oabs(_u4278), _u4280))), hAPP(c_Groups_Oabs__class_Oabs(_u4278), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4278), _u4279), _u4280)))) )).
% 27.68/27.93 cnf(matrix-2779, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4281) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4281), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4281), hAPP(c_Groups_Oabs__class_Oabs(_u4281), _u4282)), hAPP(c_Groups_Oabs__class_Oabs(_u4281), _u4283))), hAPP(c_Groups_Oabs__class_Oabs(_u4281), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4281), _u4283), _u4282)))) )).
% 27.68/27.93 cnf(matrix-2780, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4284) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4284), hAPP(c_Groups_Oabs__class_Oabs(_u4284), _u4285)), _u4286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4284), hAPP(c_Groups_Ouminus__class_Ouminus(_u4284), _u4285)), _u4286)) )).
% 27.68/27.93 cnf(matrix-2781, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4287), _u4288), _u4289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4287), hAPP(c_Groups_Ouminus__class_Ouminus(_u4287), _u4288)), _u4289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4287), hAPP(c_Groups_Oabs__class_Oabs(_u4287), _u4288)), _u4289)) )).
% 27.68/27.93 cnf(matrix-2782, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), hAPP(c_Groups_Oabs__class_Oabs(_u4290), _u4291)), _u4292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), _u4291), _u4292)) )).
% 27.68/27.93 cnf(matrix-2783, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), hAPP(c_Groups_Oabs__class_Oabs(_u4290), _u4291)), _u4292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), hAPP(c_Groups_Ouminus__class_Ouminus(_u4290), _u4291)), _u4292)) )).
% 27.68/27.93 cnf(matrix-2784, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), _u4291), _u4292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), hAPP(c_Groups_Ouminus__class_Ouminus(_u4290), _u4291)), _u4292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4290), hAPP(c_Groups_Oabs__class_Oabs(_u4290), _u4291)), _u4292)) )).
% 27.68/27.93 cnf(matrix-2785, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4293) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4293), hAPP(c_Groups_Ouminus__class_Ouminus(_u4293), _u4294)), hAPP(c_Groups_Oabs__class_Oabs(_u4293), _u4294))) )).
% 27.68/27.93 cnf(matrix-2786, plain, ( ~class_Rings_Olinordered__idom(_u4295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), hAPP(c_Groups_Oabs__class_Oabs(_u4295), _u4296)), _u4297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), _u4296), _u4297)) )).
% 27.68/27.93 cnf(matrix-2787, plain, ( ~class_Rings_Olinordered__idom(_u4295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), hAPP(c_Groups_Oabs__class_Oabs(_u4295), _u4296)), _u4297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), hAPP(c_Groups_Ouminus__class_Ouminus(_u4295), _u4296)), _u4297)) )).
% 27.68/27.93 cnf(matrix-2788, plain, ( ~class_Rings_Olinordered__idom(_u4295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), _u4296), _u4297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), hAPP(c_Groups_Ouminus__class_Ouminus(_u4295), _u4296)), _u4297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4295), hAPP(c_Groups_Oabs__class_Oabs(_u4295), _u4296)), _u4297)) )).
% 27.68/27.93 cnf(matrix-2789, plain, ( ~class_Int_Onumber(_u4298) | ~class_Orderings_Olinorder(_u4298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4298), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4299)), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4300))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4298), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4300)), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4299))) )).
% 27.68/27.93 cnf(matrix-2790, plain, ( ~class_Int_Onumber(_u4298) | ~class_Orderings_Olinorder(_u4298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4298), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4300)), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4298), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4299)), hAPP(c_Int_Onumber__class_Onumber__of(_u4298), _u4300))) )).
% 27.68/27.93 cnf(matrix-2791, plain, ( ~class_Int_Onumber(_u4301) | ~class_Rings_Osemiring(_u4301) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4301), hAPP(c_Int_Onumber__class_Onumber__of(_u4301), _u4302)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4301), _u4303), _u4304)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4301), hAPP(c_Int_Onumber__class_Onumber__of(_u4301), _u4302)), _u4303)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4301), hAPP(c_Int_Onumber__class_Onumber__of(_u4301), _u4302)), _u4304))) )).
% 27.68/27.93 cnf(matrix-2792, plain, ( ~class_Int_Onumber(_u4305) | ~class_Rings_Osemiring(_u4305) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4305), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4305), _u4306), _u4307)), hAPP(c_Int_Onumber__class_Onumber__of(_u4305), _u4308)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4305), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4305), _u4306), hAPP(c_Int_Onumber__class_Onumber__of(_u4305), _u4308))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4305), _u4307), hAPP(c_Int_Onumber__class_Onumber__of(_u4305), _u4308)))) )).
% 27.68/27.93 cnf(matrix-2793, plain, ( ~class_Rings_Ocomm__semiring__1(_u4309) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), hAPP(hAPP(c_Power_Opower__class_Opower(_u4309), _u4310), _u4311)), _u4310) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4309), _u4310), hAPP(c_Nat_OSuc, _u4311))) )).
% 27.68/27.93 cnf(matrix-2794, plain, ( ~class_Rings_Ocomm__semiring__1(_u4312) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4312), _u4313), hAPP(hAPP(c_Power_Opower__class_Opower(_u4312), _u4313), _u4314)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4312), _u4313), hAPP(c_Nat_OSuc, _u4314))) )).
% 27.68/27.93 cnf(matrix-2795, plain, ( ~class_Rings_Ocomm__semiring__1(_u4315) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4315), _u4316), hAPP(c_Nat_OSuc, _u4317)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4315), _u4316), hAPP(hAPP(c_Power_Opower__class_Opower(_u4315), _u4316), _u4317))) )).
% 27.68/27.93 cnf(matrix-2796, plain, ( ~class_Int_Onumber(_u4318) | ~class_Rings_Oring(_u4318) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4318), hAPP(c_Int_Onumber__class_Onumber__of(_u4318), _u4319)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4318), _u4320), _u4321)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4318), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4318), hAPP(c_Int_Onumber__class_Onumber__of(_u4318), _u4319)), _u4320)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4318), hAPP(c_Int_Onumber__class_Onumber__of(_u4318), _u4319)), _u4321))) )).
% 27.68/27.93 cnf(matrix-2797, plain, ( ~class_Int_Onumber(_u4322) | ~class_Rings_Oring(_u4322) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4322), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4322), _u4323), _u4324)), hAPP(c_Int_Onumber__class_Onumber__of(_u4322), _u4325)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4322), _u4323), hAPP(c_Int_Onumber__class_Onumber__of(_u4322), _u4325))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4322), _u4324), hAPP(c_Int_Onumber__class_Onumber__of(_u4322), _u4325)))) )).
% 27.68/27.93 cnf(matrix-2798, plain, ( ~class_Int_Onumber__ring(_u4326) | ~class_Rings_Olinordered__idom(_u4326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4326), hAPP(c_Int_Onumber__class_Onumber__of(_u4326), _u4327)), hAPP(c_Int_Onumber__class_Onumber__of(_u4326), _u4328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4327), _u4328)) )).
% 27.68/27.93 cnf(matrix-2799, plain, ( ~class_Int_Onumber__ring(_u4326) | ~class_Rings_Olinordered__idom(_u4326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4327), _u4328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4326), hAPP(c_Int_Onumber__class_Onumber__of(_u4326), _u4327)), hAPP(c_Int_Onumber__class_Onumber__of(_u4326), _u4328))) )).
% 27.68/27.93 cnf(matrix-2800, plain, ( ~class_Rings_Ocomm__semiring__1(_u4329) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4329), _u4330), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4329)) )).
% 27.68/27.93 cnf(matrix-2801, plain, ( ~class_Rings_Ocomm__semiring__1(_u4331) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4331), hAPP(hAPP(c_Power_Opower__class_Opower(_u4331), _u4332), _u4333)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4331), _u4332), _u4334)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4331), _u4332), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4333), _u4334))) )).
% 27.68/27.93 cnf(matrix-2802, plain, ( ~class_Int_Onumber__ring(_u4335) | ~class_Rings_Olinordered__idom(_u4335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4335), hAPP(c_Int_Onumber__class_Onumber__of(_u4335), _u4336)), hAPP(c_Int_Onumber__class_Onumber__of(_u4335), _u4337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4336), _u4337)) )).
% 27.68/27.93 cnf(matrix-2803, plain, ( ~class_Int_Onumber__ring(_u4335) | ~class_Rings_Olinordered__idom(_u4335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4336), _u4337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4335), hAPP(c_Int_Onumber__class_Onumber__of(_u4335), _u4336)), hAPP(c_Int_Onumber__class_Onumber__of(_u4335), _u4337))) )).
% 27.68/27.93 cnf(matrix-2804, plain, ( ~class_Int_Onumber__ring(_u4338) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4338), hAPP(c_Int_Onumber__class_Onumber__of(_u4338), _u4339)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4338), hAPP(c_Int_Onumber__class_Onumber__of(_u4338), _u4340)), _u4341)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4338), hAPP(c_Int_Onumber__class_Onumber__of(_u4338), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4339), _u4340))), _u4341)) )).
% 27.68/27.93 cnf(matrix-2805, plain, ( ~class_Int_Onumber__ring(_u4342) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4342), hAPP(c_Int_Onumber__class_Onumber__of(_u4342), _u4343)), hAPP(c_Int_Onumber__class_Onumber__of(_u4342), _u4344)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4342), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4343), _u4344))) )).
% 27.68/27.93 cnf(matrix-2806, plain, ( ~class_Int_Onumber__ring(_u4345) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4345), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4346), _u4347)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4345), hAPP(c_Int_Onumber__class_Onumber__of(_u4345), _u4346)), hAPP(c_Int_Onumber__class_Onumber__of(_u4345), _u4347))) )).
% 27.68/27.93 cnf(matrix-2807, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4348)) | 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), _u4348), _u4349))) )).
% 27.68/27.93 cnf(matrix-2808, plain, ( ~class_Int_Onumber__ring(_u4350) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4350), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4351), _u4352)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4350), hAPP(c_Int_Onumber__class_Onumber__of(_u4350), _u4351)), hAPP(c_Int_Onumber__class_Onumber__of(_u4350), _u4352))) )).
% 27.68/27.93 cnf(matrix-2809, plain, ( ~class_Int_Onumber__ring(_u4353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4353), hAPP(c_Int_Onumber__class_Onumber__of(_u4353), _u4354)), hAPP(c_Int_Onumber__class_Onumber__of(_u4353), _u4355)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4353), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4354), _u4355))) )).
% 27.68/27.93 cnf(matrix-2810, plain, ( ~class_Int_Onumber__ring(_u4356) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4356), hAPP(c_Int_Onumber__class_Onumber__of(_u4356), _u4357)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4356), hAPP(c_Int_Onumber__class_Onumber__of(_u4356), _u4358)), _u4359)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4356), hAPP(c_Int_Onumber__class_Onumber__of(_u4356), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4357), _u4358))), _u4359)) )).
% 27.68/27.93 cnf(matrix-2811, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4360), _u4361)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4360) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2812, plain, ( ~class_Int_Onumber__ring(_u4362) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4362), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4363), _u4364)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4362), hAPP(c_Int_Onumber__class_Onumber__of(_u4362), _u4363)), hAPP(c_Int_Onumber__class_Onumber__of(_u4362), _u4364))) )).
% 27.68/27.93 cnf(matrix-2813, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4365), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4366), _u4367)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4365), _u4366)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4365), _u4367))) )).
% 27.68/27.93 cnf(matrix-2814, plain, ( ~class_Int_Onumber__ring(_u4368) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4368), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4369)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4368), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4369))) )).
% 27.68/27.93 cnf(matrix-2815, plain, ( ~class_Int_Onumber__ring(_u4370) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4370), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4371)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4370), hAPP(c_Int_Onumber__class_Onumber__of(_u4370), _u4371))) )).
% 27.68/27.93 cnf(matrix-2816, plain, ( ~class_Rings_Olinordered__idom(_u4372) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4372), _u4373) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4372), _u4373), c_Groups_Osgn__class_Osgn(_u4372, _u4373))) )).
% 27.68/27.93 cnf(matrix-2817, plain, ( ~class_Rings_Olinordered__idom(_u4374) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4374), c_Groups_Osgn__class_Osgn(_u4374, _u4375)), hAPP(c_Groups_Oabs__class_Oabs(_u4374), _u4375)) = _u4375) )).
% 27.68/27.93 cnf(matrix-2818, plain, ( ~class_Rings_Olinordered__idom(_u4376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4377)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4376), hAPP(c_Groups_Oabs__class_Oabs(_u4376), _u4378)), _u4377) = hAPP(c_Groups_Oabs__class_Oabs(_u4376), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4376), _u4378), _u4377))) )).
% 27.68/27.93 cnf(matrix-2819, plain, ( ~class_Rings_Oordered__ring__abs(_u4379) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), _u4380), _u4381)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4380)), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4381)) )).
% 27.68/27.93 cnf(matrix-2820, plain, ( ~class_Rings_Oordered__ring__abs(_u4379) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), _u4380), _u4381)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4380)), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), _u4381), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 27.68/27.93 cnf(matrix-2821, plain, ( ~class_Rings_Oordered__ring__abs(_u4379) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), _u4380), _u4381)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4380)), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), _u4380), c_Groups_Ozero__class_Ozero(_u4379))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4381)) )).
% 27.68/27.93 cnf(matrix-2822, plain, ( ~class_Rings_Oordered__ring__abs(_u4379) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), _u4380), _u4381)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4379), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4380)), hAPP(c_Groups_Oabs__class_Oabs(_u4379), _u4381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), _u4380), c_Groups_Ozero__class_Ozero(_u4379))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4379), _u4381), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 27.68/27.93 cnf(matrix-2823, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4382) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4382), hAPP(c_Groups_Oabs__class_Oabs(_u4382), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4382), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4382), _u4383), _u4384)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4382), _u4385), _u4386)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4382), hAPP(c_Groups_Oabs__class_Oabs(_u4382), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4382), _u4383), _u4385))), hAPP(c_Groups_Oabs__class_Oabs(_u4382), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4382), _u4384), _u4386))))) )).
% 27.68/27.93 cnf(matrix-2824, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4387) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4387), hAPP(c_Groups_Oabs__class_Oabs(_u4387), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4387), _u4388), _u4389))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4387), hAPP(c_Groups_Oabs__class_Oabs(_u4387), _u4388)), hAPP(c_Groups_Oabs__class_Oabs(_u4387), _u4389)))) )).
% 27.68/27.93 cnf(matrix-2825, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4390), _u4391), c_Groups_Ozero__class_Ozero(_u4390))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4390), _u4391) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4390), _u4391)) )).
% 27.68/27.93 cnf(matrix-2826, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(c_Groups_Ouminus__class_Ouminus(_u4392), hAPP(c_Groups_Oabs__class_Oabs(_u4392), _u4393))), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 27.68/27.93 cnf(matrix-2827, plain, ( ~class_Groups_Oabs__if(_u4394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4394), _u4395), c_Groups_Ozero__class_Ozero(_u4394))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4394), _u4395) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4394), _u4395)) )).
% 27.68/27.93 cnf(matrix-2828, plain, ( ~class_Groups_Oabs__if(_u4394) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4394), _u4395), c_Groups_Ozero__class_Ozero(_u4394))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4394), _u4395) = _u4395) )).
% 27.68/27.93 cnf(matrix-2829, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4397), c_Groups_Ozero__class_Ozero(_u4396))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4396), _u4397) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4396), _u4397)) )).
% 27.68/27.93 cnf(matrix-2830, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4399)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u4399 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2831, plain, ( ( _u4400 != 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), _u4400)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2832, plain, ( ~class_Int_Onumber__ring(_u4401) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4401), _u4402)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4401), _u4403)), _u4404)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4401), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4402), _u4403))), _u4404)) )).
% 27.68/27.93 cnf(matrix-2833, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4406), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4406) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4406)) )).
% 27.68/27.93 cnf(matrix-2834, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4407), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4407) = _u4407) )).
% 27.68/27.93 cnf(matrix-2835, plain, ( ~class_Int_Onumber__ring(_u4408) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4408), hAPP(c_Groups_Ouminus__class_Ouminus(_u4408), hAPP(c_Int_Onumber__class_Onumber__of(_u4408), _u4409))), _u4410) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4408), hAPP(c_Int_Onumber__class_Onumber__of(_u4408), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4409))), _u4410)) )).
% 27.68/27.93 cnf(matrix-2836, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4411), _u4412))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4411))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4412)))) )).
% 27.68/27.93 cnf(matrix-2837, plain, ( ~class_Int_Onumber__ring(_u4413) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4413), hAPP(c_Int_Onumber__class_Onumber__of(_u4413), _u4414)), hAPP(c_Int_Onumber__class_Onumber__of(_u4413), _u4415)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4413), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4414), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4415)))) )).
% 27.68/27.93 cnf(matrix-2838, plain, ( ~class_Int_Onumber__ring(_u4416) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4416), hAPP(c_Int_Onumber__class_Onumber__of(_u4416), _u4417)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4416), _u4418), hAPP(c_Int_Onumber__class_Onumber__of(_u4416), _u4419))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4416), hAPP(c_Int_Onumber__class_Onumber__of(_u4416), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4417), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4419)))), _u4418)) )).
% 27.68/27.93 cnf(matrix-2839, plain, ( ~class_Rings_Olinordered__semidom(_u4420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4420), _u4421), _u4422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4420), c_Groups_Ozero__class_Ozero(_u4420)), _u4421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4420), hAPP(hAPP(c_Power_Opower__class_Opower(_u4420), _u4421), _u4423)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4420), _u4422), _u4423))) )).
% 27.68/27.93 cnf(matrix-2840, plain, ( ~class_Rings_Olinordered__semidom(_u4424) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4424), c_Groups_Oone__class_Oone(_u4424)), _u4425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4426)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4424), c_Groups_Oone__class_Oone(_u4424)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4424), _u4425), _u4426))) )).
% 27.68/27.93 cnf(matrix-2841, plain, ( ~class_Rings_Olinordered__semidom(_u4427) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4427), c_Groups_Oone__class_Oone(_u4427)), _u4428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4427), hAPP(hAPP(c_Power_Opower__class_Opower(_u4427), _u4428), _u4429)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4427), _u4428), _u4430))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4429), _u4430)) )).
% 27.68/27.93 cnf(matrix-2842, plain, ( ~class_Rings_Olinordered__semidom(_u4431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Oone__class_Oone(_u4431)), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Power_Opower__class_Opower(_u4431), _u4432), _u4433)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4431), _u4432), _u4434))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4433), _u4434)) )).
% 27.68/27.93 cnf(matrix-2843, plain, ( ~class_Rings_Olinordered__semidom(_u4431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Oone__class_Oone(_u4431)), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4433), _u4434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Power_Opower__class_Opower(_u4431), _u4432), _u4433)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4431), _u4432), _u4434))) )).
% 27.68/27.93 cnf(matrix-2844, plain, ( ~class_Rings_Olinordered__semidom(_u4435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4436), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4438), c_Groups_Oone__class_Oone(_u4435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Power_Opower__class_Opower(_u4435), _u4438), _u4437)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4435), _u4438), _u4436))) )).
% 27.68/27.93 cnf(matrix-2845, plain, ( ~class_Rings_Olinordered__semidom(_u4439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4440), _u4441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Oone__class_Oone(_u4439))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), hAPP(hAPP(c_Power_Opower__class_Opower(_u4439), _u4442), _u4441)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4439), _u4442), _u4440))) )).
% 27.68/27.93 cnf(matrix-2846, plain, ( ~class_Rings_Olinordered__semidom(_u4443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), _u4444), c_Groups_Oone__class_Oone(_u4443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(hAPP(c_Power_Opower__class_Opower(_u4443), _u4444), hAPP(c_Nat_OSuc, _u4445))), c_Groups_Oone__class_Oone(_u4443))) )).
% 27.68/27.93 cnf(matrix-2847, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4446) = _u4446) )).
% 27.68/27.93 cnf(matrix-2848, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4449)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4451))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4449), _u4451)) )).
% 27.68/27.93 cnf(matrix-2849, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4450), _u4452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4450)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4452))) )).
% 27.68/27.93 cnf(matrix-2850, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4455)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4457))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4455), _u4457)) )).
% 27.68/27.93 cnf(matrix-2851, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4456), _u4458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4456)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4458))) )).
% 27.68/27.93 cnf(matrix-2852, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4459)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4460)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4459), _u4460))) )).
% 27.68/27.93 cnf(matrix-2853, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4461)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4462)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4461), _u4462))) )).
% 27.68/27.93 cnf(matrix-2854, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4463)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4463))) )).
% 27.68/27.93 cnf(matrix-2855, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4466), _u4468) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4468 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4466 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-2856, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4467), _u4469) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4469 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2857, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4467), _u4469) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4467 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-2858, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4470) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-2859, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4471), _u4472)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4471), _u4473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4472), _u4473)) )).
% 27.68/27.93 cnf(matrix-2860, 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), _u4476), _u4478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4476)) | ( _u4478 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2861, 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), _u4477), _u4479))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4477)) )).
% 27.68/27.93 cnf(matrix-2862, 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), _u4477), _u4479))) | ( _u4479 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2863, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4480) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u4480)) )).
% 27.68/27.93 cnf(matrix-2864, 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))), _u4481)) | 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), _u4481), _u4482))) )).
% 27.68/27.93 cnf(matrix-2865, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4483) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4483))) )).
% 27.68/27.93 cnf(matrix-2866, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4484)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4484)) )).
% 27.68/27.93 cnf(matrix-2867, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4485)), _u4486) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4485), _u4486))) )).
% 27.68/27.93 cnf(matrix-2868, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4487)), _u4488) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4487), _u4488))) )).
% 27.68/27.93 cnf(matrix-2869, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4489), _u4490)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4489)), _u4490)) )).
% 27.68/27.93 cnf(matrix-2870, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4491)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4492)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4491), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4492)))) )).
% 27.68/27.93 cnf(matrix-2871, plain, ( ( _u4495 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4497), _u4495) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2872, plain, ( ( _u4496 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4498), _u4496) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4498), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4498), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4496), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 27.68/27.93 cnf(matrix-2873, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4501) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4503)) | ( _u4501 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4503))) )).
% 27.68/27.93 cnf(matrix-2874, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4501) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4503)) | 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), _u4503))) )).
% 27.68/27.93 cnf(matrix-2875, plain, ( ( _u4502 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4504))) | ~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), _u4504))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4502) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4504)) )).
% 27.68/27.93 cnf(matrix-2876, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4505)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4505), _u4506)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4505)), _u4506)) )).
% 27.68/27.93 cnf(matrix-2877, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4507)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4507)), _u4508) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4507), _u4508))) )).
% 27.68/27.93 cnf(matrix-2878, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u4509) | ( _u4510 = c_Groups_Ozero__class_Ozero(_u4509)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4509), _u4510), _u4511) != c_Groups_Ozero__class_Ozero(_u4509)) )).
% 27.68/27.93 cnf(matrix-2879, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4512) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4512), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4513), _u4514)), _u4515) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), hAPP(hAPP(c_Power_Opower__class_Opower(_u4512), _u4513), _u4515)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4512), _u4514), _u4515))) )).
% 27.68/27.93 cnf(matrix-2880, plain, ( ~class_Groups_Omonoid__mult(_u4516) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4516), hAPP(hAPP(c_Power_Opower__class_Opower(_u4516), _u4517), _u4518)), _u4517) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4516), _u4517), hAPP(hAPP(c_Power_Opower__class_Opower(_u4516), _u4517), _u4518))) )).
% 27.68/27.93 cnf(matrix-2881, plain, ( ~class_Groups_Omonoid__mult(_u4519) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4519), c_Groups_Oone__class_Oone(_u4519)), _u4520) = c_Groups_Oone__class_Oone(_u4519)) )).
% 27.68/27.93 cnf(matrix-2882, plain, ( ~class_Rings_Osemiring__1(_u4521) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4521), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4522), _u4523)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4521), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4521), _u4522)), _u4523)) )).
% 27.68/27.93 cnf(matrix-2883, plain, ( ~class_Groups_Omonoid__mult(_u4524) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4524), _u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4526), _u4527)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4524), hAPP(hAPP(c_Power_Opower__class_Opower(_u4524), _u4525), _u4526)), _u4527)) )).
% 27.68/27.93 cnf(matrix-2884, 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), _u4528)) = 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), _u4528)))) )).
% 27.68/27.93 cnf(matrix-2885, plain, ( ~class_Rings_Olinordered__idom(_u4529) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4529), hAPP(hAPP(c_Power_Opower__class_Opower(_u4529), _u4530), _u4531)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4529), hAPP(c_Groups_Oabs__class_Oabs(_u4529), _u4530)), _u4531)) )).
% 27.68/27.93 cnf(matrix-2886, plain, ( ~class_Groups_Omonoid__mult(_u4532) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4532), _u4533), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4533) )).
% 27.68/27.93 cnf(matrix-2887, plain, ( ~class_Rings_Olinordered__semidom(_u4534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4534), c_Groups_Ozero__class_Ozero(_u4534)), _u4535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4534), c_Groups_Ozero__class_Ozero(_u4534)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4534), _u4535), _u4536))) )).
% 27.68/27.93 cnf(matrix-2888, plain, ( ~class_Rings_Olinordered__semidom(_u4537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), _u4538), _u4539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), c_Groups_Ozero__class_Ozero(_u4537)), _u4538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), hAPP(hAPP(c_Power_Opower__class_Opower(_u4537), _u4538), _u4540)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4537), _u4539), _u4540))) )).
% 27.68/27.93 cnf(matrix-2889, plain, ( ~class_Rings_Olinordered__semidom(_u4541) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4541), c_Groups_Ozero__class_Ozero(_u4541)), _u4542)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4541), c_Groups_Ozero__class_Ozero(_u4541)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4541), _u4542), _u4543))) )).
% 27.68/27.93 cnf(matrix-2890, plain, ( ~class_Power_Opower(_u4544) | ~class_Rings_Omult__zero(_u4544) | ~class_Rings_Ono__zero__divisors(_u4544) | ~class_Rings_Ozero__neq__one(_u4544) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4544), _u4545), _u4546) != c_Groups_Ozero__class_Ozero(_u4544)) | ( _u4545 = c_Groups_Ozero__class_Ozero(_u4544)) )).
% 27.68/27.93 cnf(matrix-2891, plain, ( ~class_Power_Opower(_u4544) | ~class_Rings_Omult__zero(_u4544) | ~class_Rings_Ono__zero__divisors(_u4544) | ~class_Rings_Ozero__neq__one(_u4544) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4544), _u4545), _u4546) != c_Groups_Ozero__class_Ozero(_u4544)) | ( _u4546 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2892, plain, ( ~class_Power_Opower(_u4544) | ~class_Rings_Omult__zero(_u4544) | ~class_Rings_Ono__zero__divisors(_u4544) | ~class_Rings_Ozero__neq__one(_u4544) | ( _u4545 != c_Groups_Ozero__class_Ozero(_u4544)) | ( _u4546 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4544), _u4545), _u4546) = c_Groups_Ozero__class_Ozero(_u4544)) )).
% 27.68/27.93 cnf(matrix-2893, plain, ( ~class_Rings_Olinordered__semidom(_u4547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4547), c_Groups_Oone__class_Oone(_u4547)), _u4548)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4547), c_Groups_Oone__class_Oone(_u4547)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4547), _u4548), _u4549))) )).
% 27.68/27.93 cnf(matrix-2894, plain, ( ~class_Power_Opower(_u4550) | ~class_Rings_Osemiring__0(_u4550) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4550), c_Groups_Ozero__class_Ozero(_u4550)), hAPP(c_Nat_OSuc, _u4551)) = c_Groups_Ozero__class_Ozero(_u4550)) )).
% 27.68/27.93 cnf(matrix-2895, plain, ( ~class_Rings_Olinordered__semidom(_u4552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4552), c_Groups_Oone__class_Oone(_u4552)), _u4553)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4552), _u4553), _u4554) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4552), _u4553), _u4555)) | ( _u4554 = _u4555) )).
% 27.68/27.93 cnf(matrix-2896, plain, ( ~class_Rings_Olinordered__semidom(_u4552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4552), c_Groups_Oone__class_Oone(_u4552)), _u4553)) | ( _u4554 != _u4555) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4552), _u4553), _u4554) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4552), _u4553), _u4555)) )).
% 27.68/27.93 cnf(matrix-2897, plain, ( ~class_Groups_Omonoid__mult(_u4556) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4556), _u4557), hAPP(c_Nat_OSuc, _u4558)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4556), hAPP(hAPP(c_Power_Opower__class_Opower(_u4556), _u4557), _u4558)), _u4557)) )).
% 27.68/27.93 cnf(matrix-2898, plain, ( ~class_Power_Opower(_u4559) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4559), _u4560), hAPP(c_Nat_OSuc, _u4561)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4559), _u4560), hAPP(hAPP(c_Power_Opower__class_Opower(_u4559), _u4560), _u4561))) )).
% 27.68/27.93 cnf(matrix-2899, plain, ( ~class_Power_Opower(_u4562) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4562), _u4563), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4562)) )).
% 27.68/27.93 cnf(matrix-2900, plain, ( ~class_Groups_Omonoid__mult(_u4564) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4564), _u4565), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4566), _u4567)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4564), hAPP(hAPP(c_Power_Opower__class_Opower(_u4564), _u4565), _u4566)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4564), _u4565), _u4567))) )).
% 27.68/27.93 cnf(matrix-2901, plain, ( ~class_Rings_Olinordered__idom(_u4568) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4568), hAPP(hAPP(c_Power_Opower__class_Opower(_u4568), hAPP(c_Groups_Ouminus__class_Ouminus(_u4568), _u4569)), _u4570)) = hAPP(c_Groups_Oabs__class_Oabs(_u4568), hAPP(hAPP(c_Power_Opower__class_Opower(_u4568), _u4569), _u4570))) )).
% 27.68/27.93 cnf(matrix-2902, plain, ( ~class_Rings_Olinordered__semidom(_u4571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4571), hAPP(hAPP(c_Power_Opower__class_Opower(_u4571), _u4572), _u4573)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4571), _u4574), _u4573))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4571), c_Groups_Ozero__class_Ozero(_u4571)), _u4574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4571), _u4572), _u4574)) )).
% 27.68/27.93 cnf(matrix-2903, plain, ( ~class_Rings_Olinordered__semidom(_u4575) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4575), _u4576), hAPP(c_Nat_OSuc, _u4577)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4575), _u4578), hAPP(c_Nat_OSuc, _u4577))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4575), c_Groups_Ozero__class_Ozero(_u4575)), _u4576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4575), c_Groups_Ozero__class_Ozero(_u4575)), _u4578)) | ( _u4576 = _u4578) )).
% 27.68/27.93 cnf(matrix-2904, plain, ( ~class_Rings_Olinordered__semidom(_u4579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4579), hAPP(hAPP(c_Power_Opower__class_Opower(_u4579), _u4580), hAPP(c_Nat_OSuc, _u4581))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4579), _u4582), hAPP(c_Nat_OSuc, _u4581)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4579), c_Groups_Ozero__class_Ozero(_u4579)), _u4582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4579), _u4580), _u4582)) )).
% 27.68/27.93 cnf(matrix-2905, plain, ( ~class_Rings_Olinordered__semidom(_u4583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4583), c_Groups_Oone__class_Oone(_u4583)), _u4584)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4583), hAPP(hAPP(c_Power_Opower__class_Opower(_u4583), _u4584), _u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4583), _u4584), hAPP(hAPP(c_Power_Opower__class_Opower(_u4583), _u4584), _u4585)))) )).
% 27.68/27.93 cnf(matrix-2906, plain, ( ~class_Rings_Olinordered__semidom(_u4586) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4586), c_Groups_Oone__class_Oone(_u4586)), _u4587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4586), c_Groups_Oone__class_Oone(_u4586)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4586), _u4587), hAPP(hAPP(c_Power_Opower__class_Opower(_u4586), _u4587), _u4588)))) )).
% 27.68/27.93 cnf(matrix-2907, plain, ( ~class_Power_Opower(_u4589) | ~class_Rings_Osemiring__0(_u4589) | ( _u4590 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4589), c_Groups_Ozero__class_Ozero(_u4589)), _u4590) = c_Groups_Oone__class_Oone(_u4589)) )).
% 27.68/27.93 cnf(matrix-2908, plain, ( ~class_Power_Opower(_u4589) | ~class_Rings_Osemiring__0(_u4589) | ( _u4590 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4589), c_Groups_Ozero__class_Ozero(_u4589)), _u4590) = c_Groups_Ozero__class_Ozero(_u4589)) )).
% 27.68/27.93 cnf(matrix-2909, plain, ( ~class_Rings_Olinordered__semidom(_u4591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4591), c_Groups_Oone__class_Oone(_u4591)), _u4592)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4591), c_Groups_Oone__class_Oone(_u4591)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4591), _u4592), hAPP(c_Nat_OSuc, _u4593)))) )).
% 27.68/27.93 cnf(matrix-2910, plain, ( ~class_Rings_Olinordered__semidom(_u4594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), c_Groups_Oone__class_Oone(_u4594)), _u4595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), hAPP(hAPP(c_Power_Opower__class_Opower(_u4594), _u4595), _u4596)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4594), _u4595), _u4597))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4596), _u4597)) )).
% 27.68/27.93 cnf(matrix-2911, plain, ( ~class_Rings_Olinordered__semidom(_u4594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), c_Groups_Oone__class_Oone(_u4594)), _u4595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4596), _u4597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), hAPP(hAPP(c_Power_Opower__class_Opower(_u4594), _u4595), _u4596)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4594), _u4595), _u4597))) )).
% 27.68/27.93 cnf(matrix-2912, plain, ( ~class_Rings_Olinordered__semidom(_u4598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4598), c_Groups_Oone__class_Oone(_u4598)), _u4599)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4598), hAPP(hAPP(c_Power_Opower__class_Opower(_u4598), _u4599), _u4600)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4598), _u4599), _u4601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4600), _u4601)) )).
% 27.68/27.93 cnf(matrix-2913, plain, ( ~class_Rings_Olinordered__semidom(_u4602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4603), _u4604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4602), c_Groups_Oone__class_Oone(_u4602)), _u4605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4602), hAPP(hAPP(c_Power_Opower__class_Opower(_u4602), _u4605), _u4603)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4602), _u4605), _u4604))) )).
% 27.68/27.93 cnf(matrix-2914, plain, ( ~class_Rings_Olinordered__idom(_u4606) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4606), c_Groups_Ozero__class_Ozero(_u4606)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4606), hAPP(c_Groups_Oabs__class_Oabs(_u4606), _u4607)), _u4608))) )).
% 27.68/27.93 cnf(matrix-2915, plain, ( ~class_Rings_Olinordered__semidom(_u4609) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4610), _u4611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4609), c_Groups_Oone__class_Oone(_u4609)), _u4612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4609), hAPP(hAPP(c_Power_Opower__class_Opower(_u4609), _u4612), _u4610)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4609), _u4612), _u4611))) )).
% 27.68/27.93 cnf(matrix-2916, plain, ( ~class_Rings_Oring__1(_u4613) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4613), hAPP(c_Groups_Ouminus__class_Ouminus(_u4613), _u4614)), _u4615) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4613), hAPP(hAPP(c_Power_Opower__class_Opower(_u4613), hAPP(c_Groups_Ouminus__class_Ouminus(_u4613), c_Groups_Oone__class_Oone(_u4613))), _u4615)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4613), _u4614), _u4615))) )).
% 27.68/27.93 cnf(matrix-2917, plain, ( ~class_Rings_Olinordered__semidom(_u4616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4616), c_Groups_Ozero__class_Ozero(_u4616)), _u4617)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4616), _u4617), c_Groups_Oone__class_Oone(_u4616))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4616), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4616), _u4617), hAPP(hAPP(c_Power_Opower__class_Opower(_u4616), _u4617), _u4618))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4616), _u4617), _u4618))) )).
% 27.68/27.93 cnf(matrix-2918, plain, ( ~class_Rings_Olinordered__semidom(_u4619) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4619), _u4620), _u4621) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4619), _u4622), _u4621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4619), c_Groups_Ozero__class_Ozero(_u4619)), _u4620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4619), c_Groups_Ozero__class_Ozero(_u4619)), _u4622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4621)) | ( _u4620 = _u4622) )).
% 27.68/27.93 cnf(matrix-2919, plain, ( ( c_Nitpick_Onat__lcm(_u4623, _u4624) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4623), _u4624)), c_Nitpick_Onat__gcd(_u4623, _u4624))) )).
% 27.68/27.93 cnf(matrix-2920, plain, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u4625), _u4626) = 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), _u4625)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4626))))) )).
% 27.68/27.93 cnf(matrix-2921, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4628))) | ( 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), _u4628)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.93 cnf(matrix-2922, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4629))) | ( 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), _u4629)) = 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), _u4629)))) )).
% 27.68/27.93 cnf(matrix-2923, plain, ( ~class_Power_Opower(_u4630) | ( c_Power_Opower__class_Opower(_u4630) = c_Power_Opower_Opower(_u4630, c_Groups_Oone__class_Oone(_u4630), c_Groups_Otimes__class_Otimes(_u4630))) )).
% 27.68/27.93 cnf(matrix-2924, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4633))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4633)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4635)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2925, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4634))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4634)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4636)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4634)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4636)))) )).
% 27.68/27.93 cnf(matrix-2926, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4639))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4639), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4641)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2927, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4640))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4642))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4640), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4642)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4640)) )).
% 27.68/27.93 cnf(matrix-2928, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4640))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4642))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4640), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4642)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4640), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4642)))) )).
% 27.68/27.93 cnf(matrix-2929, plain, ( ( c_Nitpick_Oint__lcm(_u4643, _u4644) = 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), _u4643)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4644))))) )).
% 27.68/27.93 cnf(matrix-2930, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2931, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4645))) )).
% 27.68/27.93 cnf(matrix-2932, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2933, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4647)) )).
% 27.68/27.93 cnf(matrix-2934, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4648)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4648)) )).
% 27.68/27.93 cnf(matrix-2935, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4650), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2936, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4651), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4651)) )).
% 27.68/27.93 cnf(matrix-2937, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4652)) | ( hAPP(c_Int_Onat, _u4652) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2938, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4653)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u4653)) = _u4653) )).
% 27.68/27.93 cnf(matrix-2939, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4654, _u4655, _u4656), _u4657), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u4655) )).
% 27.68/27.93 cnf(matrix-2940, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4658, _u4659, _u4660), _u4661), hAPP(c_Nat_OSuc, _u4662)) = hAPP(hAPP(_u4660, _u4661), hAPP(hAPP(c_Power_Opower_Opower(_u4658, _u4659, _u4660), _u4661), _u4662))) )).
% 27.68/27.93 cnf(matrix-2941, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4663))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4663) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2942, 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, _u4664))))) )).
% 27.68/27.93 cnf(matrix-2943, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4667) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4669)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4669)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2944, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4667) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4669)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4667))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4669))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4667) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2945, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4667) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4669)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4667))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4669))) | ( _u4667 = _u4669) )).
% 27.68/27.93 cnf(matrix-2946, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670))) | ( _u4668 != _u4670) )).
% 27.68/27.93 cnf(matrix-2947, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670))) )).
% 27.68/27.93 cnf(matrix-2948, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4668 != _u4670) )).
% 27.68/27.93 cnf(matrix-2949, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668))) )).
% 27.68/27.93 cnf(matrix-2950, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670))) | ( _u4668 != _u4670) )).
% 27.68/27.93 cnf(matrix-2951, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670))) )).
% 27.68/27.93 cnf(matrix-2952, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4668) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4670)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4668) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4668 != _u4670) )).
% 27.68/27.93 cnf(matrix-2953, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4674))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4674)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4676)), _u4678)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4676)), _u4678)) )).
% 27.68/27.93 cnf(matrix-2954, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4675))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4677))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4675)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4677)), _u4679)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4675)), _u4679)) )).
% 27.68/27.93 cnf(matrix-2955, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4675))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4677))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4675)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4677)), _u4679)) = 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), _u4675), _u4677))), _u4679)) )).
% 27.68/27.93 cnf(matrix-2956, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4681))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4681)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2957, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4682))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4682)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4682)) )).
% 27.68/27.93 cnf(matrix-2958, plain, ( ~class_Int_Onumber__ring(_u4683) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4684))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4683), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4684)) = c_Groups_Ozero__class_Ozero(_u4683)) )).
% 27.68/27.93 cnf(matrix-2959, plain, ( ~class_Int_Onumber__ring(_u4683) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4684))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4683), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4684)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4683), _u4684)) )).
% 27.68/27.93 cnf(matrix-2960, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4687))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4687)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4689)) = 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), _u4689))) )).
% 27.68/27.93 cnf(matrix-2961, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4688))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4688)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4690)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4688)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4690)))) )).
% 27.68/27.93 cnf(matrix-2962, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4693))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4693)), _u4695) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4695)) )).
% 27.68/27.93 cnf(matrix-2963, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4694))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4694)), _u4696) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4694)), _u4696))) )).
% 27.68/27.93 cnf(matrix-2964, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4699))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4699)), _u4701)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4701)) )).
% 27.68/27.93 cnf(matrix-2965, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4700))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4700)), _u4702)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4700))), _u4702)) )).
% 27.68/27.93 cnf(matrix-2966, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4704))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4704)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-2967, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4705))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4705)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4705))) )).
% 27.68/27.93 cnf(matrix-2968, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4706)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u4706) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4706), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2969, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4707), _u4708)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4707), _u4708) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-2970, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem80(_u4713, _u4712, _u4711)), _u4711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4712, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4713), hAPP(_u4712, _u4711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem81(_u4713, _u4712, _u4711)), _u4711)) )).
% 27.68/27.93 cnf(matrix-2971, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem80(_u4713, _u4712, _u4711)), _u4711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4712, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4713), hAPP(_u4712, _u4711))) | ( hAPP(_u4712, skolem81(_u4713, _u4712, _u4711)) = _u4713) )).
% 27.68/27.93 cnf(matrix-2972, 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(_u4712, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem80(_u4713, _u4712, _u4711)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4712, skolem80(_u4713, _u4712, _u4711))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4712, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4713), hAPP(_u4712, _u4711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem81(_u4713, _u4712, _u4711)), _u4711)) )).
% 27.68/27.93 cnf(matrix-2973, 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(_u4712, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem80(_u4713, _u4712, _u4711)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4712, skolem80(_u4713, _u4712, _u4711))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4712, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4713), hAPP(_u4712, _u4711))) | ( hAPP(_u4712, skolem81(_u4713, _u4712, _u4711)) = _u4713) )).
% 27.68/27.93 cnf(matrix-2974, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem82(_u4718, _u4717, _u4716)), _u4716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4717, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4718), hAPP(_u4717, _u4716))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem83(_u4718, _u4717, _u4716)), _u4716)) )).
% 27.68/27.93 cnf(matrix-2975, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem82(_u4718, _u4717, _u4716)), _u4716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4717, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4718), hAPP(_u4717, _u4716))) | ( hAPP(_u4717, skolem83(_u4718, _u4717, _u4716)) = _u4718) )).
% 27.68/27.93 cnf(matrix-2976, 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(_u4717, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem82(_u4718, _u4717, _u4716)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4717, skolem82(_u4718, _u4717, _u4716))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4717, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4718), hAPP(_u4717, _u4716))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem83(_u4718, _u4717, _u4716)), _u4716)) )).
% 27.68/27.93 cnf(matrix-2977, 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(_u4717, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem82(_u4718, _u4717, _u4716)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4717, skolem82(_u4718, _u4717, _u4716))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4717, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4718), hAPP(_u4717, _u4716))) | ( hAPP(_u4717, skolem83(_u4718, _u4717, _u4716)) = _u4718) )).
% 27.68/27.93 cnf(matrix-2978, plain, ( ~class_Int_Onumber__ring(_u4719) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4719), _u4720) != hAPP(c_Int_Onumber__class_Onumber__of(_u4719), _u4721)) | c_Int_Oiszero(_u4719, hAPP(c_Int_Onumber__class_Onumber__of(_u4719), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4720), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4721)))) )).
% 27.68/27.93 cnf(matrix-2979, plain, ( ~class_Int_Onumber__ring(_u4719) | ~c_Int_Oiszero(_u4719, hAPP(c_Int_Onumber__class_Onumber__of(_u4719), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4720), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4721)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4719), _u4720) = hAPP(c_Int_Onumber__class_Onumber__of(_u4719), _u4721)) )).
% 27.68/27.93 cnf(matrix-2980, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4722), c_Int_OMin) = c_Int_Osucc(_u4722)) )).
% 27.68/27.93 cnf(matrix-2981, plain, ( ~class_Int_Onumber__ring(_u4723) | ~c_Int_Oiszero(_u4723, hAPP(c_Int_Onumber__class_Onumber__of(_u4723), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-2982, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-2983, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-2984, plain, ( ~class_Rings_Osemiring__1(_u4724) | ~c_Int_Oiszero(_u4724, _u4725) | ( _u4725 = c_Groups_Ozero__class_Ozero(_u4724)) )).
% 27.68/27.93 cnf(matrix-2985, plain, ( ~class_Rings_Osemiring__1(_u4724) | ( _u4725 != c_Groups_Ozero__class_Ozero(_u4724)) | c_Int_Oiszero(_u4724, _u4725) )).
% 27.68/27.93 cnf(matrix-2986, plain, ( ~class_Rings_Osemiring__1(_u4726) | c_Int_Oiszero(_u4726, c_Groups_Ozero__class_Ozero(_u4726)) )).
% 27.68/27.93 cnf(matrix-2987, plain, ( ~class_Rings_Osemiring__1(_u4727) | ~c_Int_Oiszero(_u4727, c_Groups_Oone__class_Oone(_u4727)) )).
% 27.68/27.93 cnf(matrix-2988, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2989, plain, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-2990, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u4728) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4728)) )).
% 27.68/27.93 cnf(matrix-2991, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 27.68/27.93 cnf(matrix-2992, plain, ( ~class_Int_Onumber__ring(_u4729) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4729), hAPP(c_Int_Onumber__class_Onumber__of(_u4729), c_Int_OMin)), _u4730) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4729), _u4730)) )).
% 27.68/27.93 cnf(matrix-2993, plain, ( ~class_Int_Onumber__ring(_u4731) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4731), _u4732), hAPP(c_Int_Onumber__class_Onumber__of(_u4731), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4731), _u4732)) )).
% 27.68/27.93 cnf(matrix-2994, plain, ( ~class_Int_Onumber__ring(_u4733) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4733), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4733), c_Groups_Oone__class_Oone(_u4733))) )).
% 27.68/27.93 cnf(matrix-2995, plain, ( ~class_Int_Onumber__ring(_u4734) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4734), c_Groups_Oone__class_Oone(_u4734)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4734), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-2996, plain, ( ~class_Int_Onumber__ring(_u4735) | ~class_Rings_Olinordered__idom(_u4735) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4735), hAPP(c_Int_Onumber__class_Onumber__of(_u4735), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u4735)) )).
% 27.68/27.93 cnf(matrix-2997, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4736, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-2998, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4737), _u4738) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4737 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4737 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-2999, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4741), _u4743) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4741 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4741 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-3000, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4741), _u4743) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4741 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4743 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-3001, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4741), _u4743) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4743 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4741 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-3002, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4741), _u4743) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4743 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4743 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-3003, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4742), _u4744) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4742 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4744 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-3004, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4742), _u4744) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4742 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u4744 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-3005, plain, ( ~class_Int_Onumber__ring(_u4745) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4745), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4745), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-3006, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4746), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4746)) )).
% 27.68/27.93 cnf(matrix-3007, plain, ( ( c_Int_Osucc(_u4747) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4747), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-3008, plain, ( ~class_Int_Onumber__ring(_u4748) | ~class_Rings_Olinordered__idom(_u4748) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4748), hAPP(hAPP(c_Power_Opower__class_Opower(_u4748), hAPP(c_Int_Onumber__class_Onumber__of(_u4748), c_Int_OMin)), _u4749)) = c_Groups_Oone__class_Oone(_u4748)) )).
% 27.68/27.93 cnf(matrix-3009, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4750)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u4750) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-3010, plain, ( ~class_Int_Onumber__ring(_u4751) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4751), c_Int_Osucc(_u4752)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4751), c_Groups_Oone__class_Oone(_u4751)), hAPP(c_Int_Onumber__class_Onumber__of(_u4751), _u4752))) )).
% 27.68/27.93 cnf(matrix-3011, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4754), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4754)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-3012, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4755), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4755)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4755))) )).
% 27.68/27.93 cnf(matrix-3013, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4757), 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), _u4757)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-3014, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4758), 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), _u4758)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4758))) )).
% 27.68/27.93 cnf(matrix-3015, plain, ( ~class_Int_Onumber__ring(_u4759) | ( c_Groups_Ozero__class_Ozero(_u4759) != hAPP(c_Int_Onumber__class_Onumber__of(_u4759), _u4760)) | c_Int_Oiszero(_u4759, hAPP(c_Int_Onumber__class_Onumber__of(_u4759), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4760)))) )).
% 27.68/27.93 cnf(matrix-3016, plain, ( ~class_Int_Onumber__ring(_u4759) | ~c_Int_Oiszero(_u4759, hAPP(c_Int_Onumber__class_Onumber__of(_u4759), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4760)))) | ( c_Groups_Ozero__class_Ozero(_u4759) = hAPP(c_Int_Onumber__class_Onumber__of(_u4759), _u4760)) )).
% 27.68/27.93 cnf(matrix-3017, plain, ( ~class_Int_Onumber__ring(_u4761) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4761), _u4762) != c_Groups_Ozero__class_Ozero(_u4761)) | c_Int_Oiszero(_u4761, hAPP(c_Int_Onumber__class_Onumber__of(_u4761), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4762), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 27.68/27.93 cnf(matrix-3018, plain, ( ~class_Int_Onumber__ring(_u4761) | ~c_Int_Oiszero(_u4761, hAPP(c_Int_Onumber__class_Onumber__of(_u4761), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4762), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4761), _u4762) = c_Groups_Ozero__class_Ozero(_u4761)) )).
% 27.68/27.93 cnf(matrix-3019, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u4764)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4764) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-3020, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4765) != 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(_u4765)))) )).
% 27.68/27.93 cnf(matrix-3021, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4769), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4769)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4771)), _u4773)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-3022, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4770), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4770)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4772)), _u4774)) = 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), _u4770), _u4772))), _u4774)) )).
% 27.68/27.93 cnf(matrix-3023, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4777), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4777)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4779)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-3024, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4778), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4778)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4780)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4778), _u4780))) )).
% 27.68/27.93 cnf(matrix-3025, plain, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 27.68/27.93 cnf(matrix-3026, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.93 cnf(matrix-3027, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 27.68/27.93 cnf(matrix-3028, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 27.68/27.93 cnf(matrix-3029, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4781), c_Int_OPls) = _u4781) )).
% 27.68/27.93 cnf(matrix-3030, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u4782) = _u4782) )).
% 27.68/27.93 cnf(matrix-3031, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u4783) = c_Int_OPls) )).
% 27.68/27.93 cnf(matrix-3032, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4784), c_Int_OPls) = _u4784) )).
% 27.68/27.93 cnf(matrix-3033, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 27.68/27.93 cnf(matrix-3034, plain, ( ( c_Int_OMin != c_Int_OPls) )).
% 27.68/27.93 cnf(matrix-3035, plain, ( ( c_Int_OPls != c_Int_OMin) )).
% 27.68/27.93 cnf(matrix-3036, plain, ( ( c_Int_Osucc(c_Int_Opred(_u4785)) = _u4785) )).
% 27.68/27.93 cnf(matrix-3037, plain, ( ~class_Int_Onumber__ring(_u4786) | ( c_Groups_Ozero__class_Ozero(_u4786) = hAPP(c_Int_Onumber__class_Onumber__of(_u4786), c_Int_OPls)) )).
% 27.68/27.93 cnf(matrix-3038, plain, ( ~class_Int_Onumber__ring(_u4787) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4787), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u4787)) )).
% 27.68/27.93 cnf(matrix-3039, plain, ( ~class_Int_Onumber__ring(_u4788) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4788), _u4789), hAPP(c_Int_Onumber__class_Onumber__of(_u4788), c_Int_OPls)) = _u4789) )).
% 27.68/27.93 cnf(matrix-3040, plain, ( ~class_Int_Onumber__ring(_u4790) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4790), hAPP(c_Int_Onumber__class_Onumber__of(_u4790), c_Int_OPls)), _u4791) = _u4791) )).
% 27.68/27.93 cnf(matrix-3041, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-3042, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 27.68/27.93 cnf(matrix-3043, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.93 cnf(matrix-3044, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 27.68/27.93 cnf(matrix-3045, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4792)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4793)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4792)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4793), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4792)))) )).
% 27.68/27.93 cnf(matrix-3046, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 27.68/27.93 cnf(matrix-3047, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-3048, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 27.68/27.93 cnf(matrix-3049, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 27.68/27.93 cnf(matrix-3050, 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)) )).
% 27.68/27.93 cnf(matrix-3051, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 27.68/27.93 cnf(matrix-3052, plain, ( ~class_Int_Onumber__ring(_u4794) | c_Int_Oiszero(_u4794, hAPP(c_Int_Onumber__class_Onumber__of(_u4794), c_Int_OPls)) )).
% 27.68/27.93 cnf(matrix-3053, plain, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 27.68/27.93 cnf(matrix-3054, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4797), _u4799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4797)), _u4799)) )).
% 27.68/27.93 cnf(matrix-3055, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4798)), _u4800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4798), _u4800)) )).
% 27.68/27.93 cnf(matrix-3056, plain, ( ( c_Int_Opred(_u4801) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4801), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.93 cnf(matrix-3057, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u4802) = c_Int_Opred(_u4802)) )).
% 27.68/27.93 cnf(matrix-3058, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4803), c_Int_OMin) = c_Int_Opred(_u4803)) )).
% 27.68/27.94 cnf(matrix-3059, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4805), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4805)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-3060, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4806), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4806)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4806))) )).
% 27.68/27.94 cnf(matrix-3061, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4808), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3062, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4809), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4809)) )).
% 27.68/27.94 cnf(matrix-3063, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4811) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4811), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3064, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4812), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4812) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-3065, 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))) )).
% 27.68/27.94 cnf(matrix-3066, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4815)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), _u4817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4817)) )).
% 27.68/27.94 cnf(matrix-3067, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4815)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), _u4817)) )).
% 27.68/27.94 cnf(matrix-3068, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4816)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4818))) | ~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_OPls), _u4818)) )).
% 27.68/27.94 cnf(matrix-3069, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4821)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4823))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4821), _u4823)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4821), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3070, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4822)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4824))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4822), _u4824)) )).
% 27.68/27.94 cnf(matrix-3071, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4822)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4824))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4822), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3072, plain, ( ~class_Int_Onumber__ring(_u4825) | ~class_Rings_Olinordered__idom(_u4825) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4825), c_Groups_Ozero__class_Ozero(_u4825)), hAPP(c_Int_Onumber__class_Onumber__of(_u4825), _u4826))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4826)) )).
% 27.68/27.94 cnf(matrix-3073, plain, ( ~class_Int_Onumber__ring(_u4825) | ~class_Rings_Olinordered__idom(_u4825) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4825), c_Groups_Ozero__class_Ozero(_u4825)), hAPP(c_Int_Onumber__class_Onumber__of(_u4825), _u4826))) )).
% 27.68/27.94 cnf(matrix-3074, plain, ( ~class_Int_Onumber__ring(_u4827) | ~class_Rings_Olinordered__idom(_u4827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4827), hAPP(c_Int_Onumber__class_Onumber__of(_u4827), _u4828)), c_Groups_Ozero__class_Ozero(_u4827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4828), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3075, plain, ( ~class_Int_Onumber__ring(_u4827) | ~class_Rings_Olinordered__idom(_u4827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4828), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4827), hAPP(c_Int_Onumber__class_Onumber__of(_u4827), _u4828)), c_Groups_Ozero__class_Ozero(_u4827))) )).
% 27.68/27.94 cnf(matrix-3076, plain, ( ~class_Int_Onumber__ring(_u4829) | ~class_Rings_Olinordered__idom(_u4829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4829), hAPP(c_Int_Onumber__class_Onumber__of(_u4829), _u4830)), c_Groups_Ozero__class_Ozero(_u4829))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4830), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3077, plain, ( ~class_Int_Onumber__ring(_u4829) | ~class_Rings_Olinordered__idom(_u4829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4830), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4829), hAPP(c_Int_Onumber__class_Onumber__of(_u4829), _u4830)), c_Groups_Ozero__class_Ozero(_u4829))) )).
% 27.68/27.94 cnf(matrix-3078, plain, ( ~class_Int_Onumber__ring(_u4831) | ~class_Rings_Olinordered__idom(_u4831) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4831), c_Groups_Ozero__class_Ozero(_u4831)), hAPP(c_Int_Onumber__class_Onumber__of(_u4831), _u4832))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4832)) )).
% 27.68/27.94 cnf(matrix-3079, plain, ( ~class_Int_Onumber__ring(_u4831) | ~class_Rings_Olinordered__idom(_u4831) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4831), c_Groups_Ozero__class_Ozero(_u4831)), hAPP(c_Int_Onumber__class_Onumber__of(_u4831), _u4832))) )).
% 27.68/27.94 cnf(matrix-3080, 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), _u4834))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4834)) )).
% 27.68/27.94 cnf(matrix-3081, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4835)) | 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), _u4835))) )).
% 27.68/27.94 cnf(matrix-3082, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4838), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4838)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4840)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4840)) )).
% 27.68/27.94 cnf(matrix-3083, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4839), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4841), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4839)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4841)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4839)) )).
% 27.68/27.94 cnf(matrix-3084, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4839), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4841), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4839)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4841)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4839), _u4841))) )).
% 27.68/27.94 cnf(matrix-3085, plain, ( ~class_Int_Onumber__ring(_u4842) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4842), c_Int_Opred(_u4843)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4842), hAPP(c_Groups_Ouminus__class_Ouminus(_u4842), c_Groups_Oone__class_Oone(_u4842))), hAPP(c_Int_Onumber__class_Onumber__of(_u4842), _u4843))) )).
% 27.68/27.94 cnf(matrix-3086, plain, ( ~class_Int_Onumber__ring(_u4844) | ( c_Groups_Oone__class_Oone(_u4844) != hAPP(c_Int_Onumber__class_Onumber__of(_u4844), _u4845)) | c_Int_Oiszero(_u4844, hAPP(c_Int_Onumber__class_Onumber__of(_u4844), 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), _u4845)))) )).
% 27.68/27.94 cnf(matrix-3087, plain, ( ~class_Int_Onumber__ring(_u4844) | ~c_Int_Oiszero(_u4844, hAPP(c_Int_Onumber__class_Onumber__of(_u4844), 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), _u4845)))) | ( c_Groups_Oone__class_Oone(_u4844) = hAPP(c_Int_Onumber__class_Onumber__of(_u4844), _u4845)) )).
% 27.68/27.94 cnf(matrix-3088, plain, ( ~class_Int_Onumber__ring(_u4846) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4846), _u4847) != c_Groups_Oone__class_Oone(_u4846)) | c_Int_Oiszero(_u4846, hAPP(c_Int_Onumber__class_Onumber__of(_u4846), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4847), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 27.68/27.94 cnf(matrix-3089, plain, ( ~class_Int_Onumber__ring(_u4846) | ~c_Int_Oiszero(_u4846, hAPP(c_Int_Onumber__class_Onumber__of(_u4846), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4847), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4846), _u4847) = c_Groups_Oone__class_Oone(_u4846)) )).
% 27.68/27.94 cnf(matrix-3090, plain, ( ~class_Int_Onumber__ring(_u4848) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4848), c_Groups_Oone__class_Oone(_u4848)), hAPP(c_Int_Onumber__class_Onumber__of(_u4848), _u4849)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4848), 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), _u4849)))) )).
% 27.68/27.94 cnf(matrix-3091, plain, ( ~class_Int_Onumber__ring(_u4850) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4850), hAPP(c_Int_Onumber__class_Onumber__of(_u4850), _u4851)), c_Groups_Oone__class_Oone(_u4850)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4850), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4851), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 27.68/27.94 cnf(matrix-3092, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4852), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4853)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4852), 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)))), _u4853))) )).
% 27.68/27.94 cnf(matrix-3093, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4854)))), _u4855) = 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)))), _u4854)), _u4855)) )).
% 27.68/27.94 cnf(matrix-3094, plain, ( ( c_Int_OBit1(_u4858) != c_Int_OBit1(_u4860)) | ( _u4858 = _u4860) )).
% 27.68/27.94 cnf(matrix-3095, plain, ( ( _u4859 != _u4861) | ( c_Int_OBit1(_u4859) = c_Int_OBit1(_u4861)) )).
% 27.68/27.94 cnf(matrix-3096, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4864)), c_Int_OBit1(_u4866))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4864), _u4866)) )).
% 27.68/27.94 cnf(matrix-3097, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4865), _u4867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4865)), c_Int_OBit1(_u4867))) )).
% 27.68/27.94 cnf(matrix-3098, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4870)), c_Int_OBit1(_u4872))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4870), _u4872)) )).
% 27.68/27.94 cnf(matrix-3099, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4871), _u4873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4871)), c_Int_OBit1(_u4873))) )).
% 27.68/27.94 cnf(matrix-3100, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4876)), c_Int_OBit1(_u4878))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4876), _u4878)) )).
% 27.68/27.94 cnf(matrix-3101, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4877), _u4879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4877)), c_Int_OBit1(_u4879))) )).
% 27.68/27.94 cnf(matrix-3102, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4882)), c_Int_OBit1(_u4884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4882), _u4884)) )).
% 27.68/27.94 cnf(matrix-3103, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4883), _u4885)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4883)), c_Int_OBit1(_u4885))) )).
% 27.68/27.94 cnf(matrix-3104, plain, ( ( c_Int_OBit1(_u4886) != c_Int_OPls) )).
% 27.68/27.94 cnf(matrix-3105, plain, ( ( c_Int_OPls != c_Int_OBit1(_u4887)) )).
% 27.68/27.94 cnf(matrix-3106, plain, ( ( c_Int_OBit1(_u4889) != c_Int_OMin) | ( _u4889 = c_Int_OMin) )).
% 27.68/27.94 cnf(matrix-3107, plain, ( ( _u4890 != c_Int_OMin) | ( c_Int_OBit1(_u4890) = c_Int_OMin) )).
% 27.68/27.94 cnf(matrix-3108, plain, ( ( c_Int_OMin != c_Int_OBit1(_u4892)) | ( c_Int_OMin = _u4892) )).
% 27.68/27.94 cnf(matrix-3109, plain, ( ( c_Int_OMin != _u4893) | ( c_Int_OMin = c_Int_OBit1(_u4893)) )).
% 27.68/27.94 cnf(matrix-3110, plain, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 27.68/27.94 cnf(matrix-3111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4895)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4895), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-3112, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4896), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4896)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-3113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4898)) )).
% 27.68/27.94 cnf(matrix-3114, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4899))) )).
% 27.68/27.94 cnf(matrix-3115, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4901)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4901), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3116, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4902), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4902)), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3117, plain, ( ( c_Int_OBit1(_u4903) = 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)), _u4903)), _u4903)) )).
% 27.68/27.94 cnf(matrix-3118, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4905)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4905), c_Int_OMin)) )).
% 27.68/27.94 cnf(matrix-3119, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4906), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4906)), c_Int_OMin)) )).
% 27.68/27.94 cnf(matrix-3120, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4908))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4908)) )).
% 27.68/27.94 cnf(matrix-3121, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4909))) )).
% 27.68/27.94 cnf(matrix-3122, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4911)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4911), c_Int_OMin)) )).
% 27.68/27.94 cnf(matrix-3123, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4912), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4912)), c_Int_OMin)) )).
% 27.68/27.94 cnf(matrix-3124, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4914))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4914)) )).
% 27.68/27.94 cnf(matrix-3125, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4915))) )).
% 27.68/27.94 cnf(matrix-3126, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4917)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4917))) )).
% 27.68/27.94 cnf(matrix-3127, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4918))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4918)))) )).
% 27.68/27.94 cnf(matrix-3128, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u4919)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4919)))) )).
% 27.68/27.94 cnf(matrix-3129, plain, ( ~class_Int_Onumber__ring(_u4920) | ~class_Int_Oring__char__0(_u4920) | ~c_Int_Oiszero(_u4920, hAPP(c_Int_Onumber__class_Onumber__of(_u4920), c_Int_OBit1(_u4921))) )).
% 27.68/27.94 cnf(matrix-3130, plain, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3131, plain, ( ~class_Int_Onumber__ring(_u4922) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4922), c_Int_OBit1(_u4923)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4922), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4922), c_Groups_Oone__class_Oone(_u4922)), hAPP(c_Int_Onumber__class_Onumber__of(_u4922), _u4923))), hAPP(c_Int_Onumber__class_Onumber__of(_u4922), _u4923))) )).
% 27.68/27.94 cnf(matrix-3132, plain, ( ~class_Int_Onumber__ring(_u4924) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4924), hAPP(c_Int_Onumber__class_Onumber__of(_u4924), c_Int_OBit1(c_Int_OPls))), _u4925) = _u4925) )).
% 27.68/27.94 cnf(matrix-3133, plain, ( ~class_Int_Onumber__ring(_u4926) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4926), _u4927), hAPP(c_Int_Onumber__class_Onumber__of(_u4926), c_Int_OBit1(c_Int_OPls))) = _u4927) )).
% 27.68/27.94 cnf(matrix-3134, plain, ( ~class_Int_Onumber__ring(_u4928) | ( c_Groups_Oone__class_Oone(_u4928) = hAPP(c_Int_Onumber__class_Onumber__of(_u4928), c_Int_OBit1(c_Int_OPls))) )).
% 27.68/27.94 cnf(matrix-3135, plain, ( ~class_Int_Onumber__ring(_u4929) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4929), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u4929)) )).
% 27.68/27.94 cnf(matrix-3136, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4931))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4931)) )).
% 27.68/27.94 cnf(matrix-3137, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4932))) )).
% 27.68/27.94 cnf(matrix-3138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4934)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4934), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3139, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4935), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4935)), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3140, 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))) )).
% 27.68/27.94 cnf(matrix-3141, 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)) )).
% 27.68/27.94 cnf(matrix-3142, 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))) )).
% 27.68/27.94 cnf(matrix-3143, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4936)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u4936))) )).
% 27.68/27.94 cnf(matrix-3144, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3145, plain, ( ~class_Int_Onumber__ring(_u4937) | ~c_Int_Oiszero(_u4937, hAPP(c_Int_Onumber__class_Onumber__of(_u4937), c_Int_OBit1(c_Int_OPls))) )).
% 27.68/27.94 cnf(matrix-3146, 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))))) )).
% 27.68/27.94 cnf(matrix-3147, 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))) )).
% 27.68/27.94 cnf(matrix-3148, plain, ( ~class_Groups_Omonoid__mult(_u4938) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4938), _u4939), 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(_u4938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4938), _u4939), _u4939)), _u4939)) )).
% 27.68/27.94 cnf(matrix-3149, 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))))) )).
% 27.68/27.94 cnf(matrix-3150, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4940))) = 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)))), _u4940)) )).
% 27.68/27.94 cnf(matrix-3151, 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))))) )).
% 27.68/27.94 cnf(matrix-3152, 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))))) )).
% 27.68/27.94 cnf(matrix-3153, plain, ( ~class_Int_Onumber__ring(_u4941) | ~class_Rings_Olinordered__idom(_u4941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4941), c_Groups_Oone__class_Oone(_u4941)), hAPP(c_Int_Onumber__class_Onumber__of(_u4941), _u4942))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4942)) )).
% 27.68/27.94 cnf(matrix-3154, plain, ( ~class_Int_Onumber__ring(_u4941) | ~class_Rings_Olinordered__idom(_u4941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4941), c_Groups_Oone__class_Oone(_u4941)), hAPP(c_Int_Onumber__class_Onumber__of(_u4941), _u4942))) )).
% 27.68/27.94 cnf(matrix-3155, plain, ( ~class_Int_Onumber__ring(_u4943) | ~class_Rings_Olinordered__idom(_u4943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4943), hAPP(c_Int_Onumber__class_Onumber__of(_u4943), _u4944)), c_Groups_Oone__class_Oone(_u4943))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4944), c_Int_OBit1(c_Int_OPls))) )).
% 27.68/27.94 cnf(matrix-3156, plain, ( ~class_Int_Onumber__ring(_u4943) | ~class_Rings_Olinordered__idom(_u4943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4944), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4943), hAPP(c_Int_Onumber__class_Onumber__of(_u4943), _u4944)), c_Groups_Oone__class_Oone(_u4943))) )).
% 27.68/27.94 cnf(matrix-3157, plain, ( ~class_Int_Onumber__ring(_u4945) | ~class_Rings_Olinordered__idom(_u4945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4945), c_Groups_Oone__class_Oone(_u4945)), hAPP(c_Int_Onumber__class_Onumber__of(_u4945), _u4946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4946)) )).
% 27.68/27.94 cnf(matrix-3158, plain, ( ~class_Int_Onumber__ring(_u4945) | ~class_Rings_Olinordered__idom(_u4945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4945), c_Groups_Oone__class_Oone(_u4945)), hAPP(c_Int_Onumber__class_Onumber__of(_u4945), _u4946))) )).
% 27.68/27.94 cnf(matrix-3159, plain, ( ~class_Int_Onumber__ring(_u4947) | ~class_Rings_Olinordered__idom(_u4947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4947), hAPP(c_Int_Onumber__class_Onumber__of(_u4947), _u4948)), c_Groups_Oone__class_Oone(_u4947))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4948), c_Int_OBit1(c_Int_OPls))) )).
% 27.68/27.94 cnf(matrix-3160, plain, ( ~class_Int_Onumber__ring(_u4947) | ~class_Rings_Olinordered__idom(_u4947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4948), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4947), hAPP(c_Int_Onumber__class_Onumber__of(_u4947), _u4948)), c_Groups_Oone__class_Oone(_u4947))) )).
% 27.68/27.94 cnf(matrix-3161, plain, ( ~class_Int_Onumber__ring(_u4949) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4949), hAPP(c_Int_Onumber__class_Onumber__of(_u4949), _u4950)), c_Groups_Oone__class_Oone(_u4949)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4949), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4950), c_Int_OBit1(c_Int_OPls)))) )).
% 27.68/27.94 cnf(matrix-3162, plain, ( ~class_Int_Onumber__ring(_u4951) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4951), c_Groups_Oone__class_Oone(_u4951)), hAPP(c_Int_Onumber__class_Onumber__of(_u4951), _u4952)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4952))) )).
% 27.68/27.94 cnf(matrix-3163, 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)), _u4953)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4954)), _u4953) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4954), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4953), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 27.68/27.94 cnf(matrix-3164, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4955))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4956)) = 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)))), _u4955), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4956))) )).
% 27.68/27.94 cnf(matrix-3165, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4957))), _u4958) = 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)))), _u4957), _u4958)) )).
% 27.68/27.94 cnf(matrix-3166, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4959, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4960)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4959, 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)))), _u4960))) )).
% 27.68/27.94 cnf(matrix-3167, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4961)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4962)) = 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)))), _u4961)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4962))) )).
% 27.68/27.94 cnf(matrix-3168, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4963), 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)))), _u4964)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4963)) = 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), _u4964), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4963))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-3169, 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), _u4967))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4969)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4967))) = 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), _u4969), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4967)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-3170, 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), _u4968))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4970)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4968))) = 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), _u4970)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4968)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-3171, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4971), 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)))), _u4972))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4971)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4972), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4971)) )).
% 27.68/27.94 cnf(matrix-3172, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4973)) | ( 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)))), _u4974))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4973)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4974), _u4973)) )).
% 27.68/27.94 cnf(matrix-3173, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4975)) | ( 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)))), _u4976)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4975)) = 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, _u4976, _u4975)))) )).
% 27.68/27.94 cnf(matrix-3174, plain, ( ~class_Rings_Osemiring__1(_u4977) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4978)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4977), 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)))), _u4978))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4977), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4977), hAPP(c_Int_Onat, _u4978))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4977), hAPP(c_Int_Onat, _u4978)))) )).
% 27.68/27.94 cnf(matrix-3175, plain, ( ( c_Int_OBit0(_u4981) != c_Int_OBit0(_u4983)) | ( _u4981 = _u4983) )).
% 27.68/27.94 cnf(matrix-3176, plain, ( ( _u4982 != _u4984) | ( c_Int_OBit0(_u4982) = c_Int_OBit0(_u4984)) )).
% 27.68/27.94 cnf(matrix-3177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4987)), c_Int_OBit0(_u4989))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4987), _u4989)) )).
% 27.68/27.94 cnf(matrix-3178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4988), _u4990)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4988)), c_Int_OBit0(_u4990))) )).
% 27.68/27.94 cnf(matrix-3179, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4993)), c_Int_OBit0(_u4995))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4993), _u4995)) )).
% 27.68/27.94 cnf(matrix-3180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4994), _u4996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4994)), c_Int_OBit0(_u4996))) )).
% 27.68/27.94 cnf(matrix-3181, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4999)), c_Int_OBit0(_u5001))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4999), _u5001)) )).
% 27.68/27.94 cnf(matrix-3182, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5000), _u5002)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5000)), c_Int_OBit0(_u5002))) )).
% 27.68/27.94 cnf(matrix-3183, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5005)), c_Int_OBit0(_u5007))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5005), _u5007)) )).
% 27.68/27.94 cnf(matrix-3184, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5006), _u5008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5006)), c_Int_OBit0(_u5008))) )).
% 27.68/27.94 cnf(matrix-3185, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 27.68/27.94 cnf(matrix-3186, plain, ( ( c_Int_OPls != c_Int_OBit0(_u5010)) | ( c_Int_OPls = _u5010) )).
% 27.68/27.94 cnf(matrix-3187, plain, ( ( c_Int_OPls != _u5011) | ( c_Int_OPls = c_Int_OBit0(_u5011)) )).
% 27.68/27.94 cnf(matrix-3188, plain, ( ( c_Int_OBit0(_u5013) != c_Int_OPls) | ( _u5013 = c_Int_OPls) )).
% 27.68/27.94 cnf(matrix-3189, plain, ( ( _u5014 != c_Int_OPls) | ( c_Int_OBit0(_u5014) = c_Int_OPls) )).
% 27.68/27.94 cnf(matrix-3190, plain, ( ( c_Int_OBit0(_u5015) != c_Int_OBit1(_u5016)) )).
% 27.68/27.94 cnf(matrix-3191, plain, ( ( c_Int_OBit1(_u5017) != c_Int_OBit0(_u5018)) )).
% 27.68/27.94 cnf(matrix-3192, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5019)), c_Int_OBit0(_u5020)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5019), _u5020))) )).
% 27.68/27.94 cnf(matrix-3193, plain, ( ( c_Int_OBit0(_u5021) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5021), _u5021)) )).
% 27.68/27.94 cnf(matrix-3194, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u5022)), _u5023) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5022), _u5023))) )).
% 27.68/27.94 cnf(matrix-3195, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5024)), c_Int_OBit0(_u5025)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5024), _u5025))) )).
% 27.68/27.94 cnf(matrix-3196, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u5026)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5026))) )).
% 27.68/27.94 cnf(matrix-3197, plain, ( ( c_Int_OMin != c_Int_OBit0(_u5027)) )).
% 27.68/27.94 cnf(matrix-3198, plain, ( ( c_Int_OBit0(_u5028) != c_Int_OMin) )).
% 27.68/27.94 cnf(matrix-3199, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5030)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5030), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-3200, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5031), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5031)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-3201, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5033)) )).
% 27.68/27.94 cnf(matrix-3202, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5034))) )).
% 27.68/27.94 cnf(matrix-3203, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5036)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5036), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5037), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5037)), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3205, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5040)), c_Int_OBit1(_u5042))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5040), _u5042)) )).
% 27.68/27.94 cnf(matrix-3206, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5041), _u5043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5041)), c_Int_OBit1(_u5043))) )).
% 27.68/27.94 cnf(matrix-3207, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5046)), c_Int_OBit1(_u5048))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5046), _u5048)) )).
% 27.68/27.94 cnf(matrix-3208, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5047), _u5049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5047)), c_Int_OBit1(_u5049))) )).
% 27.68/27.94 cnf(matrix-3209, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5051))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5051)) )).
% 27.68/27.94 cnf(matrix-3210, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5052))) )).
% 27.68/27.94 cnf(matrix-3211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5054)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5054), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3212, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5055), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5055)), c_Int_OPls)) )).
% 27.68/27.94 cnf(matrix-3213, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5058)), c_Int_OBit0(_u5060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5058), _u5060)) )).
% 27.68/27.94 cnf(matrix-3214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5059), _u5061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5059)), c_Int_OBit0(_u5061))) )).
% 27.68/27.94 cnf(matrix-3215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5064)), c_Int_OBit0(_u5066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5064), _u5066)) )).
% 27.68/27.94 cnf(matrix-3216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5065), _u5067)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5065)), c_Int_OBit0(_u5067))) )).
% 27.68/27.94 cnf(matrix-3217, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5068)), c_Int_OBit1(_u5069)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5068), _u5069))) )).
% 27.68/27.94 cnf(matrix-3218, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5070)), c_Int_OBit0(_u5071)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5070), _u5071))) )).
% 27.68/27.94 cnf(matrix-3219, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5072)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u5072))) )).
% 27.68/27.94 cnf(matrix-3220, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5073)), c_Int_OBit0(_u5074)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5073), _u5074))) )).
% 27.68/27.94 cnf(matrix-3221, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5075)), c_Int_OBit1(_u5076)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5075), _u5076))) )).
% 27.68/27.94 cnf(matrix-3222, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5078)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5078), c_Int_OMin)) )).
% 27.68/27.94 cnf(matrix-3223, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5079), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5079)), c_Int_OMin)) )).
% 27.68/27.94 cnf(matrix-3224, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5081))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5081)) )).
% 27.68/27.94 cnf(matrix-3225, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5082))) )).
% 27.68/27.94 cnf(matrix-3226, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5083))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5084))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5083)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5084))) )).
% 27.68/27.94 cnf(matrix-3227, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5086)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5086))) )).
% 27.68/27.94 cnf(matrix-3228, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5087))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5087)))) )).
% 27.68/27.94 cnf(matrix-3229, plain, ( ( c_Int_Opred(c_Int_OBit0(_u5088)) = c_Int_OBit1(c_Int_Opred(_u5088))) )).
% 27.68/27.94 cnf(matrix-3230, plain, ( ( c_Int_Opred(c_Int_OBit1(_u5089)) = c_Int_OBit0(_u5089)) )).
% 27.68/27.94 cnf(matrix-3231, plain, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 27.68/27.94 cnf(matrix-3232, plain, ( ~class_Int_Onumber__ring(_u5090) | ~class_Int_Oring__char__0(_u5090) | ~c_Int_Oiszero(_u5090, hAPP(c_Int_Onumber__class_Onumber__of(_u5090), c_Int_OBit0(_u5091))) | c_Int_Oiszero(_u5090, hAPP(c_Int_Onumber__class_Onumber__of(_u5090), _u5091)) )).
% 27.68/27.94 cnf(matrix-3233, plain, ( ~class_Int_Onumber__ring(_u5090) | ~class_Int_Oring__char__0(_u5090) | ~c_Int_Oiszero(_u5090, hAPP(c_Int_Onumber__class_Onumber__of(_u5090), _u5091)) | c_Int_Oiszero(_u5090, hAPP(c_Int_Onumber__class_Onumber__of(_u5090), c_Int_OBit0(_u5091))) )).
% 27.68/27.94 cnf(matrix-3234, plain, ( ( c_Int_Osucc(c_Int_OBit1(_u5092)) = c_Int_OBit0(c_Int_Osucc(_u5092))) )).
% 27.68/27.94 cnf(matrix-3235, plain, ( ( c_Int_Osucc(c_Int_OBit0(_u5093)) = c_Int_OBit1(_u5093)) )).
% 27.68/27.94 cnf(matrix-3236, plain, ( ~class_Int_Onumber__ring(_u5094) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5094), c_Int_OBit0(_u5095)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5094), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5094), c_Groups_Ozero__class_Ozero(_u5094)), hAPP(c_Int_Onumber__class_Onumber__of(_u5094), _u5095))), hAPP(c_Int_Onumber__class_Onumber__of(_u5094), _u5095))) )).
% 27.68/27.94 cnf(matrix-3237, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5098)), c_Int_OBit0(_u5100))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5098), _u5100)) )).
% 27.68/27.94 cnf(matrix-3238, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5099), _u5101)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5099)), c_Int_OBit0(_u5101))) )).
% 27.68/27.94 cnf(matrix-3239, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5104)), c_Int_OBit0(_u5106))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5104), _u5106)) )).
% 27.68/27.94 cnf(matrix-3240, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5105), _u5107)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5105)), c_Int_OBit0(_u5107))) )).
% 27.68/27.94 cnf(matrix-3241, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5110)), c_Int_OBit1(_u5112))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5110), _u5112)) )).
% 27.68/27.94 cnf(matrix-3242, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5111), _u5113)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5111)), c_Int_OBit1(_u5113))) )).
% 27.68/27.94 cnf(matrix-3243, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5116)), c_Int_OBit1(_u5118))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5116), _u5118)) )).
% 27.68/27.94 cnf(matrix-3244, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5117), _u5119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5117)), c_Int_OBit1(_u5119))) )).
% 27.68/27.94 cnf(matrix-3245, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u5120)), _u5121) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5120), _u5121))), _u5121)) )).
% 27.68/27.94 cnf(matrix-3246, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5123)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5123), c_Int_OMin)) )).
% 27.68/27.94 cnf(matrix-3247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5124), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5124)), c_Int_OMin)) )).
% 27.68/27.94 cnf(matrix-3248, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5126))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5126)) )).
% 27.68/27.94 cnf(matrix-3249, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5127)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5127))) )).
% 27.68/27.94 cnf(matrix-3250, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5128)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5128))) )).
% 27.68/27.94 cnf(matrix-3251, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u5129)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5129))) )).
% 27.68/27.94 cnf(matrix-3252, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5130)), c_Int_OBit1(_u5131)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u5130)), _u5131))) )).
% 27.68/27.94 cnf(matrix-3253, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5132)), c_Int_OBit1(_u5133)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5132), c_Int_Osucc(_u5133)))) )).
% 27.68/27.94 cnf(matrix-3254, plain, ( ~class_Int_Onumber__ring(_u5134) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5134), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5134), c_Groups_Oone__class_Oone(_u5134)), c_Groups_Oone__class_Oone(_u5134))), hAPP(c_Int_Onumber__class_Onumber__of(_u5134), _u5135)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5134), c_Int_OBit0(_u5135))) )).
% 27.68/27.94 cnf(matrix-3255, 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), _u5136))) | 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(_u5136)))) )).
% 27.68/27.94 cnf(matrix-3256, 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), _u5136))) | 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(_u5136)))) )).
% 27.68/27.94 cnf(matrix-3257, plain, ( ~class_Int_Onumber__ring(_u5137) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5137), hAPP(c_Int_Onumber__class_Onumber__of(_u5137), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5138) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5137), _u5138), _u5138)) )).
% 27.68/27.94 cnf(matrix-3258, plain, ( ~class_Int_Onumber__ring(_u5139) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5139), _u5140), hAPP(c_Int_Onumber__class_Onumber__of(_u5139), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5139), _u5140), _u5140)) )).
% 27.68/27.94 cnf(matrix-3259, plain, ( ~class_Int_Onumber__ring(_u5141) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5141), c_Groups_Oone__class_Oone(_u5141)), c_Groups_Oone__class_Oone(_u5141)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5141), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 27.68/27.94 cnf(matrix-3260, plain, ( ~class_Rings_Osemiring__1(_u5142) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5142), c_Groups_Ozero__class_Ozero(_u5142)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u5142)) )).
% 27.68/27.94 cnf(matrix-3261, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5143) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5143), _u5144), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u5143)) | ( _u5144 = c_Groups_Ozero__class_Ozero(_u5143)) )).
% 27.68/27.94 cnf(matrix-3262, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5143) | ( _u5144 != c_Groups_Ozero__class_Ozero(_u5143)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5143), _u5144), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u5143)) )).
% 27.68/27.94 cnf(matrix-3263, 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)))) )).
% 27.68/27.94 cnf(matrix-3264, 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)))) )).
% 27.68/27.94 cnf(matrix-3265, plain, ( ~class_Rings_Ocomm__semiring__1(_u5145) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5145), _u5146), _u5146) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5145), _u5146), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 27.68/27.94 cnf(matrix-3266, plain, ( ~class_Groups_Omonoid__mult(_u5147) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5147), _u5148), 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(_u5147), _u5148), _u5148)) )).
% 27.68/27.94 cnf(matrix-3267, 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))))) )).
% 27.68/27.94 cnf(matrix-3268, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5149), 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, _u5149))) )).
% 27.68/27.94 cnf(matrix-3269, 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)))), _u5150) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5150))) )).
% 27.68/27.94 cnf(matrix-3270, plain, ( ~class_Rings_Osemiring__1(_u5151) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5151), c_Groups_Oone__class_Oone(_u5151)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5151)) )).
% 27.68/27.94 cnf(matrix-3271, plain, ( ~class_Rings_Oring__1(_u5152) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5152), hAPP(c_Groups_Ouminus__class_Ouminus(_u5152), _u5153)), 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(_u5152), _u5153), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 27.68/27.94 cnf(matrix-3272, 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)))), _u5154) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5154), _u5154)) )).
% 27.68/27.94 cnf(matrix-3273, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5155), 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), _u5155), _u5155)) )).
% 27.68/27.94 cnf(matrix-3274, plain, ( ~class_Groups_Omonoid__mult(_u5156) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5156), _u5157), 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)))), _u5158)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5156), hAPP(hAPP(c_Power_Opower__class_Opower(_u5156), _u5157), _u5158)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 27.68/27.94 cnf(matrix-3275, 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))))) )).
% 27.68/27.94 cnf(matrix-3276, 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))))) )).
% 27.68/27.94 cnf(matrix-3277, plain, ( ~class_Rings_Olinordered__idom(_u5159) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5159), hAPP(hAPP(c_Power_Opower__class_Opower(_u5159), _u5160), 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(_u5159), _u5160), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 27.68/27.94 cnf(matrix-3278, plain, ( ~class_Rings_Olinordered__idom(_u5161) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5161), hAPP(c_Groups_Oabs__class_Oabs(_u5161), _u5162)), 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(_u5161), _u5162), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 27.68/27.94 cnf(matrix-3279, 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)))) )).
% 27.68/27.94 cnf(matrix-3280, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _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))))) )).
% 27.68/27.94 cnf(matrix-3281, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5164))), 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), _u5164), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.68/27.94 cnf(matrix-3282, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5165)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5166))) = hAPP(hAPP(c_Groups_Otimes__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), _u5165), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5166)))) )).
% 27.68/27.94 cnf(matrix-3283, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5167), _u5167)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u5167) )).
% 27.68/27.94 cnf(matrix-3284, plain, ( ~class_Rings_Olinordered__idom(_u5168) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5168), c_Groups_Ozero__class_Ozero(_u5168)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5168), _u5169), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.68/27.94 cnf(matrix-3285, plain, ( ~class_Rings_Olinordered__semidom(_u5170) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5170), hAPP(hAPP(c_Power_Opower__class_Opower(_u5170), _u5171), 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(_u5170), _u5172), 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(_u5170), c_Groups_Ozero__class_Ozero(_u5170)), _u5172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5170), _u5171), _u5172)) )).
% 27.68/27.94 cnf(matrix-3286, plain, ( ~class_Rings_Olinordered__semidom(_u5173) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5173), _u5174), 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(_u5173), _u5175), 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(_u5173), c_Groups_Ozero__class_Ozero(_u5173)), _u5174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5173), c_Groups_Ozero__class_Ozero(_u5173)), _u5175)) | ( _u5174 = _u5175) )).
% 27.68/27.94 cnf(matrix-3287, plain, ( ~class_Rings_Olinordered__idom(_u5176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5176), c_Groups_Ozero__class_Ozero(_u5176)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5176), _u5177), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u5177 != c_Groups_Ozero__class_Ozero(_u5176)) )).
% 27.68/27.94 cnf(matrix-3288, plain, ( ~class_Rings_Olinordered__idom(_u5176) | ( _u5177 = c_Groups_Ozero__class_Ozero(_u5176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5176), c_Groups_Ozero__class_Ozero(_u5176)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5176), _u5177), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.68/27.94 cnf(matrix-3289, plain, ( ~class_Rings_Olinordered__idom(_u5178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5178), hAPP(hAPP(c_Power_Opower__class_Opower(_u5178), _u5179), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u5178))) )).
% 27.68/27.94 cnf(matrix-3290, plain, ( ~class_Rings_Olinordered__idom(_u5180) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5180), hAPP(hAPP(c_Power_Opower__class_Opower(_u5180), _u5181), 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(_u5180), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u5180)) | ( _u5181 = c_Groups_Ozero__class_Ozero(_u5180)) )).
% 27.68/27.94 cnf(matrix-3291, plain, ( ~class_Rings_Olinordered__idom(_u5180) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5180), hAPP(hAPP(c_Power_Opower__class_Opower(_u5180), _u5181), 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(_u5180), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u5180)) | ( _u5182 = c_Groups_Ozero__class_Ozero(_u5180)) )).
% 27.68/27.94 cnf(matrix-3292, plain, ( ~class_Rings_Olinordered__idom(_u5180) | ( _u5181 != c_Groups_Ozero__class_Ozero(_u5180)) | ( _u5182 != c_Groups_Ozero__class_Ozero(_u5180)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5180), hAPP(hAPP(c_Power_Opower__class_Opower(_u5180), _u5181), 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(_u5180), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u5180)) )).
% 27.68/27.94 cnf(matrix-3293, plain, ( ~class_Groups_Omonoid__mult(_u5183) | ~class_Int_Onumber(_u5183) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5183), hAPP(c_Int_Onumber__class_Onumber__of(_u5183), _u5184)), 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(_u5183), hAPP(c_Int_Onumber__class_Onumber__of(_u5183), _u5184)), hAPP(c_Int_Onumber__class_Onumber__of(_u5183), _u5184))) )).
% 27.68/27.94 cnf(matrix-3294, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5185), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u5185 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5185 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.94 cnf(matrix-3295, 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)))) )).
% 27.68/27.94 cnf(matrix-3296, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5186) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5186), _u5187), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u5186)) | ( _u5187 = c_Groups_Oone__class_Oone(_u5186)) | ( _u5187 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5186), c_Groups_Oone__class_Oone(_u5186))) )).
% 27.68/27.94 cnf(matrix-3297, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5186) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5186), _u5187), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5186)) | ( _u5187 != c_Groups_Oone__class_Oone(_u5186)) )).
% 27.68/27.94 cnf(matrix-3298, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5186) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5186), _u5187), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5186)) | ( _u5187 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5186), c_Groups_Oone__class_Oone(_u5186))) )).
% 27.68/27.94 cnf(matrix-3299, plain, ( ~class_Rings_Ocomm__semiring__1(_u5188) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5188), _u5189), 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)))), _u5190)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5188), hAPP(hAPP(c_Power_Opower__class_Opower(_u5188), _u5189), _u5190)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5188), _u5189), _u5190))) )).
% 27.68/27.94 cnf(matrix-3300, plain, ( ~class_Rings_Oring__1(_u5191) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5191), hAPP(c_Groups_Ouminus__class_Ouminus(_u5191), _u5192)), 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)))), _u5193)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5191), _u5192), 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)))), _u5193))) )).
% 27.68/27.94 cnf(matrix-3301, plain, ( ~class_Rings_Olinordered__semidom(_u5194) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5194), hAPP(hAPP(c_Power_Opower__class_Opower(_u5194), _u5195), 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(_u5194), _u5196), 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(_u5194), c_Groups_Ozero__class_Ozero(_u5194)), _u5196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5194), _u5195), _u5196)) )).
% 27.68/27.94 cnf(matrix-3302, plain, ( ~class_Rings_Olinordered__idom(_u5197) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5197), c_Groups_Ozero__class_Ozero(_u5197)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5197), hAPP(hAPP(c_Power_Opower__class_Opower(_u5197), _u5198), 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(_u5197), _u5199), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 27.68/27.94 cnf(matrix-3303, plain, ( ~class_Rings_Olinordered__idom(_u5200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5200), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5200), hAPP(hAPP(c_Power_Opower__class_Opower(_u5200), _u5201), 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(_u5200), _u5202), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5200))) | ( _u5201 = c_Groups_Ozero__class_Ozero(_u5200)) )).
% 27.68/27.94 cnf(matrix-3304, plain, ( ~class_Rings_Olinordered__idom(_u5200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5200), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5200), hAPP(hAPP(c_Power_Opower__class_Opower(_u5200), _u5201), 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(_u5200), _u5202), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5200))) | ( _u5202 = c_Groups_Ozero__class_Ozero(_u5200)) )).
% 27.68/27.94 cnf(matrix-3305, plain, ( ~class_Rings_Olinordered__idom(_u5200) | ( _u5201 != c_Groups_Ozero__class_Ozero(_u5200)) | ( _u5202 != c_Groups_Ozero__class_Ozero(_u5200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5200), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5200), hAPP(hAPP(c_Power_Opower__class_Opower(_u5200), _u5201), 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(_u5200), _u5202), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5200))) )).
% 27.68/27.94 cnf(matrix-3306, plain, ( ~class_Rings_Olinordered__idom(_u5203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5203), c_Groups_Ozero__class_Ozero(_u5203)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5203), hAPP(hAPP(c_Power_Opower__class_Opower(_u5203), _u5204), 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(_u5203), _u5205), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5204 != c_Groups_Ozero__class_Ozero(_u5203)) | ( _u5205 != c_Groups_Ozero__class_Ozero(_u5203)) )).
% 27.68/27.94 cnf(matrix-3307, plain, ( ~class_Rings_Olinordered__idom(_u5203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5203), c_Groups_Ozero__class_Ozero(_u5203)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5203), hAPP(hAPP(c_Power_Opower__class_Opower(_u5203), _u5204), 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(_u5203), _u5205), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5204 = c_Groups_Ozero__class_Ozero(_u5203)) )).
% 27.68/27.94 cnf(matrix-3308, plain, ( ~class_Rings_Olinordered__idom(_u5203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5203), c_Groups_Ozero__class_Ozero(_u5203)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5203), hAPP(hAPP(c_Power_Opower__class_Opower(_u5203), _u5204), 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(_u5203), _u5205), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5205 = c_Groups_Ozero__class_Ozero(_u5203)) )).
% 27.68/27.94 cnf(matrix-3309, plain, ( ~class_Rings_Olinordered__idom(_u5206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5206), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5206), hAPP(hAPP(c_Power_Opower__class_Opower(_u5206), _u5207), 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(_u5206), _u5208), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5206))) )).
% 27.68/27.94 cnf(matrix-3310, plain, ( ~class_Int_Onumber__ring(_u5209) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5209), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5209), _u5210), _u5211)), 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(_u5209), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5209), hAPP(hAPP(c_Power_Opower__class_Opower(_u5209), _u5210), 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(_u5209), _u5211), 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(_u5209), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5209), hAPP(c_Int_Onumber__class_Onumber__of(_u5209), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5210)), _u5211))) )).
% 27.68/27.94 cnf(matrix-3311, plain, ( ~class_Rings_Olinordered__idom(_u5212) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5212), c_Groups_Ozero__class_Ozero(_u5212)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5212), _u5213), 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)))), _u5214)))) )).
% 27.68/27.94 cnf(matrix-3312, plain, ( ~class_Rings_Ocomm__semiring__1(_u5215) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5215), _u5216), 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)))), _u5217))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5215), _u5216), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5215), hAPP(hAPP(c_Power_Opower__class_Opower(_u5215), _u5216), _u5217)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5215), _u5216), _u5217)))) )).
% 27.68/27.94 cnf(matrix-3313, plain, ( ~class_Groups_Omonoid__mult(_u5218) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5218), _u5219), 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)))), _u5220))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5218), _u5219), hAPP(hAPP(c_Power_Opower__class_Opower(_u5218), hAPP(hAPP(c_Power_Opower__class_Opower(_u5218), _u5219), _u5220)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.68/27.94 cnf(matrix-3314, plain, ( ~class_Rings_Oring__1(_u5221) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5221), hAPP(c_Groups_Ouminus__class_Ouminus(_u5221), c_Groups_Oone__class_Oone(_u5221))), 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)))), _u5222)) = c_Groups_Oone__class_Oone(_u5221)) )).
% 27.68/27.94 cnf(matrix-3315, 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), _u5225))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5227))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5225))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5227)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5225))) )).
% 27.68/27.94 cnf(matrix-3316, 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), _u5226))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5228))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5226))) = 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), _u5228)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5226))) )).
% 27.68/27.94 cnf(matrix-3317, 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, _u5230, 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, _u5230, 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)) )).
% 27.68/27.94 cnf(matrix-3318, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5231, 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, _u5231, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.68/27.94 cnf(matrix-3319, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u5232)) | 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), _u5232), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.68/27.94 cnf(matrix-3320, plain, ( ~class_Int_Onumber__ring(_u5233) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5233), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5233), _u5234), _u5235)), 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(_u5233), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5233), hAPP(hAPP(c_Power_Opower__class_Opower(_u5233), _u5234), 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(_u5233), _u5235), 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(_u5233), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5233), hAPP(c_Int_Onumber__class_Onumber__of(_u5233), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5234)), _u5235))) )).
% 27.68/27.94 cnf(matrix-3321, plain, ( ~class_Rings_Olinordered__idom(_u5236) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5236), c_Groups_Ozero__class_Ozero(_u5236)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5236), _u5237), 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)))), _u5238))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5236), c_Groups_Ozero__class_Ozero(_u5236)), _u5237)) )).
% 27.68/27.94 cnf(matrix-3322, plain, ( ~class_Rings_Olinordered__idom(_u5239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5239), _u5240), c_Groups_Ozero__class_Ozero(_u5239))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5239), hAPP(hAPP(c_Power_Opower__class_Opower(_u5239), _u5240), 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)))), _u5241)))), c_Groups_Ozero__class_Ozero(_u5239))) )).
% 27.68/27.94 cnf(matrix-3323, plain, ( ~class_Rings_Oring__1(_u5242) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5242), hAPP(c_Groups_Ouminus__class_Ouminus(_u5242), c_Groups_Oone__class_Oone(_u5242))), 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)))), _u5243))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5242), c_Groups_Oone__class_Oone(_u5242))) )).
% 27.68/27.94 cnf(matrix-3324, plain, ( ~class_Int_Onumber__ring(_u5244) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5244), hAPP(c_Int_Onumber__class_Onumber__of(_u5244), 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)))), _u5245)) = c_Groups_Oone__class_Oone(_u5244)) )).
% 27.68/27.94 cnf(matrix-3325, plain, ( ~class_Int_Onumber__ring(_u5246) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5246), hAPP(c_Int_Onumber__class_Onumber__of(_u5246), 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)))), _u5247))) = hAPP(c_Int_Onumber__class_Onumber__of(_u5246), c_Int_OMin)) )).
% 27.68/27.94 cnf(matrix-3326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5248)) | 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), _u5248), 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)))))) )).
% 27.68/27.94 cnf(matrix-3327, plain, ( ( _u5250 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u5250) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.94 cnf(matrix-3328, plain, ( ( _u5251 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5251, 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, _u5251) = hAPP(hAPP(c_Groups_Otimes__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), _u5251), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 27.68/27.94 cnf(matrix-3329, plain, ( ( _u5251 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5251, 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, _u5251) = 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), _u5251), 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))) )).
% 27.68/27.94 cnf(matrix-3330, 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))) )).
% 27.68/27.94 cnf(matrix-3331, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5252) | ~class_Int_Onumber__ring(_u5252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5252), c_Groups_Ozero__class_Ozero(_u5252)), _u5253)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5252), c_Groups_Ozero__class_Ozero(_u5252)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5252), _u5253), hAPP(c_Int_Onumber__class_Onumber__of(_u5252), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.68/27.94 cnf(matrix-3332, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5254) | ~class_Int_Onumber__ring(_u5254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5254), c_Groups_Ozero__class_Ozero(_u5254)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5254), _u5255), hAPP(c_Int_Onumber__class_Onumber__of(_u5254), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5254), c_Groups_Ozero__class_Ozero(_u5254)), _u5255)) )).
% 27.68/27.94 cnf(matrix-3333, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5254) | ~class_Int_Onumber__ring(_u5254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5254), c_Groups_Ozero__class_Ozero(_u5254)), _u5255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5254), c_Groups_Ozero__class_Ozero(_u5254)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5254), _u5255), hAPP(c_Int_Onumber__class_Onumber__of(_u5254), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.68/27.94 cnf(matrix-3334, 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)))) )).
% 27.68/27.94 cnf(matrix-3335, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5258), skolem84(_u5261, _u5260, _u5259, _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5258), skolem85(_u5261, _u5260, _u5259, _u5258))) )).
% 27.68/27.94 cnf(matrix-3336, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5258), skolem84(_u5261, _u5260, _u5259, _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5261, _u5260, _u5259, _u5258)), _u5259)) )).
% 27.68/27.94 cnf(matrix-3337, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5258), skolem84(_u5261, _u5260, _u5259, _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | ( hAPP(_u5260, skolem85(_u5261, _u5260, _u5259, _u5258)) = _u5261) )).
% 27.68/27.94 cnf(matrix-3338, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5261, _u5260, _u5259, _u5258)), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5258), skolem85(_u5261, _u5260, _u5259, _u5258))) )).
% 27.68/27.94 cnf(matrix-3339, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5261, _u5260, _u5259, _u5258)), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5261, _u5260, _u5259, _u5258)), _u5259)) )).
% 27.68/27.94 cnf(matrix-3340, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5261, _u5260, _u5259, _u5258)), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | ( hAPP(_u5260, skolem85(_u5261, _u5260, _u5259, _u5258)) = _u5261) )).
% 27.68/27.94 cnf(matrix-3341, 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(_u5260, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5261, _u5260, _u5259, _u5258)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5260, skolem84(_u5261, _u5260, _u5259, _u5258))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5258), skolem85(_u5261, _u5260, _u5259, _u5258))) )).
% 27.68/27.94 cnf(matrix-3342, 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(_u5260, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5261, _u5260, _u5259, _u5258)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5260, skolem84(_u5261, _u5260, _u5259, _u5258))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5261, _u5260, _u5259, _u5258)), _u5259)) )).
% 27.68/27.94 cnf(matrix-3343, 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(_u5260, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5261, _u5260, _u5259, _u5258)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5260, skolem84(_u5261, _u5260, _u5259, _u5258))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5258), _u5259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5260, _u5258)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5261), hAPP(_u5260, _u5259))) | ( hAPP(_u5260, skolem85(_u5261, _u5260, _u5259, _u5258)) = _u5261) )).
% 27.68/27.94 cnf(matrix-3344, 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)) )).
% 27.68/27.94 cnf(matrix-3345, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5262) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5262), _u5263), c_Groups_Ozero__class_Ozero(_u5262)) = c_Groups_Ozero__class_Ozero(_u5262)) )).
% 27.68/27.94 cnf(matrix-3346, plain, ( ~class_Rings_Odivision__ring(_u5264) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5264), c_Groups_Ozero__class_Ozero(_u5264)), _u5265) = c_Groups_Ozero__class_Ozero(_u5264)) )).
% 27.68/27.94 cnf(matrix-3347, plain, ( ~class_Rings_Odivision__ring(_u5266) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5266), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5266), _u5267), _u5268)), _u5269) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5266), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5266), _u5267), _u5269)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5266), _u5268), _u5269))) )).
% 27.68/27.94 cnf(matrix-3348, plain, ( ~class_Fields_Ofield__inverse__zero(_u5270) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5270), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5270), _u5271), _u5272)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5270), _u5273), _u5274)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5270), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5270), _u5271), _u5273)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5270), _u5272), _u5274))) )).
% 27.68/27.94 cnf(matrix-3349, plain, ( ~class_Rings_Odivision__ring(_u5275) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5275), _u5276), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5275), _u5277), _u5278)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5275), _u5276), _u5277)), _u5278)) )).
% 27.68/27.94 cnf(matrix-3350, plain, ( ~class_Rings_Odivision__ring(_u5279) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5279), _u5280), _u5281)), _u5282) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5279), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5280), _u5282)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5281), _u5282))) )).
% 27.68/27.94 cnf(matrix-3351, plain, ( ~class_Rings_Odivision__ring(_u5283) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5283), _u5284), c_Groups_Oone__class_Oone(_u5283)) = _u5284) )).
% 27.68/27.94 cnf(matrix-3352, plain, ( ~class_Fields_Ofield__inverse__zero(_u5285) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5285), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5286), _u5287)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5285), _u5286), hAPP(c_Groups_Ouminus__class_Ouminus(_u5285), _u5287))) )).
% 27.68/27.94 cnf(matrix-3353, plain, ( ~class_Fields_Ofield__inverse__zero(_u5288) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5288), hAPP(c_Groups_Ouminus__class_Ouminus(_u5288), _u5289)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5288), _u5290)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5288), _u5289), _u5290)) )).
% 27.68/27.94 cnf(matrix-3354, plain, ( ~class_Rings_Odivision__ring(_u5291) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5291), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5291), _u5292), _u5293)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5291), hAPP(c_Groups_Ouminus__class_Ouminus(_u5291), _u5292)), _u5293)) )).
% 27.68/27.94 cnf(matrix-3355, plain, ( ~class_Fields_Ofield__inverse__zero(_u5294) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5294), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5294), _u5295), _u5296)), _u5297) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5294), hAPP(hAPP(c_Power_Opower__class_Opower(_u5294), _u5295), _u5297)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5294), _u5296), _u5297))) )).
% 27.68/27.94 cnf(matrix-3356, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5298) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5298), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5298), _u5299), _u5300)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5298), hAPP(c_Groups_Oabs__class_Oabs(_u5298), _u5299)), hAPP(c_Groups_Oabs__class_Oabs(_u5298), _u5300))) )).
% 27.68/27.94 cnf(matrix-3357, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.94 cnf(matrix-3358, plain, ( ~c_Nat__Transfer_Ois__nat(_u5301) | ~c_Nat__Transfer_Ois__nat(_u5302) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5301), _u5302)) )).
% 27.68/27.94 cnf(matrix-3359, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5303)) )).
% 27.68/27.94 cnf(matrix-3360, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.94 cnf(matrix-3361, plain, ( ~c_Nat__Transfer_Ois__nat(_u5304) | ~c_Nat__Transfer_Ois__nat(_u5305) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5304), _u5305)) )).
% 27.68/27.94 cnf(matrix-3362, plain, ( ~c_Nat__Transfer_Ois__nat(_u5306) | ~c_Nat__Transfer_Ois__nat(_u5307) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5306, _u5307)) )).
% 27.68/27.94 cnf(matrix-3363, plain, ( ~c_Nat__Transfer_Ois__nat(_u5308) | ~c_Nat__Transfer_Ois__nat(_u5309) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5308), _u5309)) )).
% 27.68/27.94 cnf(matrix-3364, plain, ( ~c_Nat__Transfer_Ois__nat(_u5310) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5310), _u5311)) )).
% 27.68/27.94 cnf(matrix-3365, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5312), _u5313), _u5314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), _u5313), c_Groups_Ozero__class_Ozero(_u5312))) )).
% 27.68/27.94 cnf(matrix-3366, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5312), _u5313), _u5314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), _u5314), c_Groups_Ozero__class_Ozero(_u5312))) )).
% 27.68/27.94 cnf(matrix-3367, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5312), _u5313), _u5314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), _u5313), c_Groups_Ozero__class_Ozero(_u5312))) )).
% 27.68/27.94 cnf(matrix-3368, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5312), _u5313), _u5314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), _u5314), c_Groups_Ozero__class_Ozero(_u5312))) )).
% 27.68/27.94 cnf(matrix-3369, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5312) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5312), _u5313), _u5314))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5314)) )).
% 27.68/27.94 cnf(matrix-3370, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5312) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5312), _u5313), _u5314))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), _u5313), c_Groups_Ozero__class_Ozero(_u5312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5312), _u5314), c_Groups_Ozero__class_Ozero(_u5312))) )).
% 27.68/27.94 cnf(matrix-3371, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), _u5316), _u5317)), c_Groups_Ozero__class_Ozero(_u5315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), c_Groups_Ozero__class_Ozero(_u5315)), _u5316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), _u5316), c_Groups_Ozero__class_Ozero(_u5315))) )).
% 27.68/27.94 cnf(matrix-3372, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), _u5316), _u5317)), c_Groups_Ozero__class_Ozero(_u5315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), c_Groups_Ozero__class_Ozero(_u5315)), _u5316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), c_Groups_Ozero__class_Ozero(_u5315)), _u5317)) )).
% 27.68/27.94 cnf(matrix-3373, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), _u5316), _u5317)), c_Groups_Ozero__class_Ozero(_u5315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), _u5317), c_Groups_Ozero__class_Ozero(_u5315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), _u5316), c_Groups_Ozero__class_Ozero(_u5315))) )).
% 27.68/27.94 cnf(matrix-3374, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5315) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), _u5316), _u5317)), c_Groups_Ozero__class_Ozero(_u5315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), _u5317), c_Groups_Ozero__class_Ozero(_u5315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), c_Groups_Ozero__class_Ozero(_u5315)), _u5317)) )).
% 27.68/27.94 cnf(matrix-3375, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), _u5316), _u5317)), c_Groups_Ozero__class_Ozero(_u5315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), c_Groups_Ozero__class_Ozero(_u5315)), _u5316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), _u5317), c_Groups_Ozero__class_Ozero(_u5315))) )).
% 27.68/27.94 cnf(matrix-3376, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), _u5316), _u5317)), c_Groups_Ozero__class_Ozero(_u5315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), _u5316), c_Groups_Ozero__class_Ozero(_u5315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), c_Groups_Ozero__class_Ozero(_u5315)), _u5317)) )).
% 27.68/27.94 cnf(matrix-3377, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5318), _u5319), _u5320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5318), c_Groups_Ozero__class_Ozero(_u5318)), _u5321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5318), _u5319), _u5321)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5318), _u5320), _u5321))) )).
% 27.68/27.94 cnf(matrix-3378, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5322), _u5323), _u5324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5322), _u5325), c_Groups_Ozero__class_Ozero(_u5322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5322), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5322), _u5324), _u5325)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5322), _u5323), _u5325))) )).
% 27.68/27.94 cnf(matrix-3379, plain, ( ~class_Fields_Olinordered__field(_u5326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5326), _u5327), _u5328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5326), _u5329), c_Groups_Ozero__class_Ozero(_u5326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5326), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5326), _u5328), _u5329)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5326), _u5327), _u5329))) )).
% 27.68/27.94 cnf(matrix-3380, plain, ( ~class_Fields_Olinordered__field(_u5330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5330), _u5331), _u5332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5330), c_Groups_Ozero__class_Ozero(_u5330)), _u5333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5330), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5330), _u5331), _u5333)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5330), _u5332), _u5333))) )).
% 27.68/27.94 cnf(matrix-3381, plain, ( ~class_Fields_Olinordered__field(_u5334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5334), _u5335), c_Groups_Ozero__class_Ozero(_u5334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5334), _u5336), c_Groups_Ozero__class_Ozero(_u5334))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5334), c_Groups_Ozero__class_Ozero(_u5334)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5334), _u5335), _u5336))) )).
% 27.68/27.94 cnf(matrix-3382, plain, ( ~class_Fields_Olinordered__field(_u5337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5337), _u5338), c_Groups_Ozero__class_Ozero(_u5337))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5337), c_Groups_Ozero__class_Ozero(_u5337)), _u5339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5337), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5337), _u5338), _u5339)), c_Groups_Ozero__class_Ozero(_u5337))) )).
% 27.68/27.94 cnf(matrix-3383, plain, ( ~class_Fields_Olinordered__field(_u5340) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5340), c_Groups_Ozero__class_Ozero(_u5340)), _u5341)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5340), _u5342), c_Groups_Ozero__class_Ozero(_u5340))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5340), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5340), _u5341), _u5342)), c_Groups_Ozero__class_Ozero(_u5340))) )).
% 27.68/27.94 cnf(matrix-3384, plain, ( ~class_Fields_Olinordered__field(_u5343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5343), c_Groups_Ozero__class_Ozero(_u5343)), _u5344)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5343), c_Groups_Ozero__class_Ozero(_u5343)), _u5345)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5343), c_Groups_Ozero__class_Ozero(_u5343)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5343), _u5344), _u5345))) )).
% 27.68/27.94 cnf(matrix-3385, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5346), _u5347), _u5348)), c_Groups_Ozero__class_Ozero(_u5346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), c_Groups_Ozero__class_Ozero(_u5346)), _u5347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), _u5347), c_Groups_Ozero__class_Ozero(_u5346))) )).
% 27.68/27.94 cnf(matrix-3386, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5346), _u5347), _u5348)), c_Groups_Ozero__class_Ozero(_u5346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), c_Groups_Ozero__class_Ozero(_u5346)), _u5347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), c_Groups_Ozero__class_Ozero(_u5346)), _u5348)) )).
% 27.68/27.94 cnf(matrix-3387, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5346), _u5347), _u5348)), c_Groups_Ozero__class_Ozero(_u5346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), _u5348), c_Groups_Ozero__class_Ozero(_u5346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), _u5347), c_Groups_Ozero__class_Ozero(_u5346))) )).
% 27.68/27.94 cnf(matrix-3388, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5346), _u5347), _u5348)), c_Groups_Ozero__class_Ozero(_u5346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), _u5348), c_Groups_Ozero__class_Ozero(_u5346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), c_Groups_Ozero__class_Ozero(_u5346)), _u5348)) )).
% 27.68/27.94 cnf(matrix-3389, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5346) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5346), _u5347), _u5348)), c_Groups_Ozero__class_Ozero(_u5346))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), c_Groups_Ozero__class_Ozero(_u5346)), _u5347)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), _u5348), c_Groups_Ozero__class_Ozero(_u5346))) )).
% 27.68/27.94 cnf(matrix-3390, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5346) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5346), _u5347), _u5348)), c_Groups_Ozero__class_Ozero(_u5346))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), _u5347), c_Groups_Ozero__class_Ozero(_u5346))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5346), c_Groups_Ozero__class_Ozero(_u5346)), _u5348)) )).
% 27.68/27.94 cnf(matrix-3391, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5349) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5349), _u5350), _u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), _u5350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), _u5350), c_Groups_Ozero__class_Ozero(_u5349))) )).
% 27.68/27.94 cnf(matrix-3392, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5349) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5349), _u5350), _u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), _u5350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), _u5351), c_Groups_Ozero__class_Ozero(_u5349))) )).
% 27.68/27.94 cnf(matrix-3393, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5349) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5349), _u5350), _u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), _u5351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), _u5350), c_Groups_Ozero__class_Ozero(_u5349))) )).
% 27.68/27.94 cnf(matrix-3394, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5349) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5349), _u5350), _u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), _u5351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), _u5351), c_Groups_Ozero__class_Ozero(_u5349))) )).
% 27.68/27.94 cnf(matrix-3395, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5349), _u5350), _u5351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), _u5350)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), _u5351)) )).
% 27.68/27.94 cnf(matrix-3396, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5349), _u5350), _u5351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), _u5350), c_Groups_Ozero__class_Ozero(_u5349))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5349), _u5351), c_Groups_Ozero__class_Ozero(_u5349))) )).
% 27.68/27.94 cnf(matrix-3397, plain, ( ~class_Fields_Ofield__inverse__zero(_u5352) | ( _u5353 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5352), _u5354), _u5355)) | ( _u5355 = c_Groups_Ozero__class_Ozero(_u5352)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5352), _u5353), _u5355) = _u5354) )).
% 27.68/27.94 cnf(matrix-3398, plain, ( ~class_Fields_Ofield__inverse__zero(_u5352) | ( _u5353 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5352), _u5354), _u5355)) | ( _u5355 != c_Groups_Ozero__class_Ozero(_u5352)) | ( _u5353 = c_Groups_Ozero__class_Ozero(_u5352)) )).
% 27.68/27.94 cnf(matrix-3399, plain, ( ~class_Fields_Ofield__inverse__zero(_u5352) | ( _u5353 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5352), _u5354), _u5355)) | ( _u5355 != c_Groups_Ozero__class_Ozero(_u5352)) | ( _u5353 != c_Groups_Ozero__class_Ozero(_u5352)) )).
% 27.68/27.94 cnf(matrix-3400, plain, ( ~class_Fields_Ofield__inverse__zero(_u5352) | ( _u5353 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5352), _u5354), _u5355)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5352), _u5353), _u5355) != _u5354) | ( _u5355 = c_Groups_Ozero__class_Ozero(_u5352)) )).
% 27.68/27.94 cnf(matrix-3401, plain, ( ~class_Fields_Ofield__inverse__zero(_u5352) | ( _u5353 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5352), _u5354), _u5355)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5352), _u5353), _u5355) != _u5354) | ( _u5353 != c_Groups_Ozero__class_Ozero(_u5352)) )).
% 27.68/27.94 cnf(matrix-3402, plain, ( ~class_Fields_Ofield__inverse__zero(_u5356) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5356), _u5357), _u5358) != _u5359) | ( _u5358 = c_Groups_Ozero__class_Ozero(_u5356)) | ( _u5357 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5356), _u5359), _u5358)) )).
% 27.68/27.94 cnf(matrix-3403, plain, ( ~class_Fields_Ofield__inverse__zero(_u5356) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5356), _u5357), _u5358) != _u5359) | ( _u5358 != c_Groups_Ozero__class_Ozero(_u5356)) | ( _u5359 = c_Groups_Ozero__class_Ozero(_u5356)) )).
% 27.68/27.94 cnf(matrix-3404, plain, ( ~class_Fields_Ofield__inverse__zero(_u5356) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5356), _u5357), _u5358) = _u5359) | ( _u5358 != c_Groups_Ozero__class_Ozero(_u5356)) | ( _u5359 != c_Groups_Ozero__class_Ozero(_u5356)) )).
% 27.68/27.94 cnf(matrix-3405, plain, ( ~class_Fields_Ofield__inverse__zero(_u5356) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5356), _u5357), _u5358) = _u5359) | ( _u5357 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5356), _u5359), _u5358)) | ( _u5358 = c_Groups_Ozero__class_Ozero(_u5356)) )).
% 27.68/27.94 cnf(matrix-3406, plain, ( ~class_Fields_Ofield__inverse__zero(_u5356) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5356), _u5357), _u5358) = _u5359) | ( _u5357 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5356), _u5359), _u5358)) | ( _u5359 != c_Groups_Ozero__class_Ozero(_u5356)) )).
% 27.68/27.94 cnf(matrix-3407, plain, ( ~class_Fields_Ofield__inverse__zero(_u5360) | ( _u5361 = c_Groups_Ozero__class_Ozero(_u5360)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5360), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5360), _u5362), _u5361)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5360), _u5363), _u5361)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5360), _u5362), _u5363)) )).
% 27.68/27.94 cnf(matrix-3408, plain, ( ~class_Fields_Ofield__inverse__zero(_u5364) | ( _u5365 = c_Groups_Ozero__class_Ozero(_u5364)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5364), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5364), _u5365), _u5366)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5364), _u5365), _u5367)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5364), _u5366), _u5367)) )).
% 27.68/27.94 cnf(matrix-3409, plain, ( ~class_Fields_Ofield(_u5368) | ( _u5369 = c_Groups_Ozero__class_Ozero(_u5368)) | ( _u5370 = c_Groups_Ozero__class_Ozero(_u5368)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5368), _u5371), _u5369) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5368), _u5372), _u5370)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5368), _u5371), _u5370) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5368), _u5372), _u5369)) )).
% 27.68/27.94 cnf(matrix-3410, plain, ( ~class_Fields_Ofield(_u5368) | ( _u5369 = c_Groups_Ozero__class_Ozero(_u5368)) | ( _u5370 = c_Groups_Ozero__class_Ozero(_u5368)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5368), _u5371), _u5370) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5368), _u5372), _u5369)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5368), _u5371), _u5369) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5368), _u5372), _u5370)) )).
% 27.68/27.94 cnf(matrix-3411, plain, ( ~class_Rings_Odivision__ring(_u5373) | ( _u5374 = c_Groups_Ozero__class_Ozero(_u5373)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5373), _u5375), _u5374) != _u5376) | ( _u5375 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5373), _u5376), _u5374)) )).
% 27.68/27.94 cnf(matrix-3412, plain, ( ~class_Rings_Odivision__ring(_u5377) | ( _u5378 = c_Groups_Ozero__class_Ozero(_u5377)) | ( _u5379 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5377), _u5380), _u5378)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5377), _u5379), _u5378) = _u5380) )).
% 27.68/27.94 cnf(matrix-3413, plain, ( ~class_Rings_Odivision__ring(_u5381) | ( _u5382 = c_Groups_Ozero__class_Ozero(_u5381)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5381), _u5383), _u5382) != _u5384) | ( _u5383 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5381), _u5384), _u5382)) )).
% 27.68/27.94 cnf(matrix-3414, plain, ( ~class_Rings_Odivision__ring(_u5381) | ( _u5382 = c_Groups_Ozero__class_Ozero(_u5381)) | ( _u5383 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5381), _u5384), _u5382)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5381), _u5383), _u5382) = _u5384) )).
% 27.68/27.94 cnf(matrix-3415, plain, ( ~class_Rings_Odivision__ring(_u5385) | ( _u5386 = c_Groups_Ozero__class_Ozero(_u5385)) | ( _u5387 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5388), _u5386)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5385), _u5387), _u5386) = _u5388) )).
% 27.68/27.94 cnf(matrix-3416, plain, ( ~class_Rings_Odivision__ring(_u5385) | ( _u5386 = c_Groups_Ozero__class_Ozero(_u5385)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5385), _u5387), _u5386) != _u5388) | ( _u5387 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5388), _u5386)) )).
% 27.68/27.94 cnf(matrix-3417, plain, ( ~class_Rings_Odivision__ring(_u5389) | ( _u5390 = c_Groups_Ozero__class_Ozero(_u5389)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5389), _u5391), _u5390) != c_Groups_Oone__class_Oone(_u5389)) | ( _u5391 = _u5390) )).
% 27.68/27.94 cnf(matrix-3418, plain, ( ~class_Rings_Odivision__ring(_u5389) | ( _u5390 = c_Groups_Ozero__class_Ozero(_u5389)) | ( _u5391 != _u5390) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5389), _u5391), _u5390) = c_Groups_Oone__class_Oone(_u5389)) )).
% 27.68/27.94 cnf(matrix-3419, plain, ( ~class_Rings_Odivision__ring(_u5392) | ( _u5393 = c_Groups_Ozero__class_Ozero(_u5392)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5392), _u5393), _u5393) = c_Groups_Oone__class_Oone(_u5392)) )).
% 27.68/27.94 cnf(matrix-3420, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5394) | ( _u5395 != c_Groups_Ozero__class_Ozero(_u5394)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5394), _u5395), _u5395) = c_Groups_Ozero__class_Ozero(_u5394)) )).
% 27.68/27.94 cnf(matrix-3421, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5394) | ( _u5395 = c_Groups_Ozero__class_Ozero(_u5394)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5394), _u5395), _u5395) = c_Groups_Oone__class_Oone(_u5394)) )).
% 27.68/27.94 cnf(matrix-3422, plain, ( ~class_Rings_Odivision__ring(_u5396) | ( _u5397 = c_Groups_Ozero__class_Ozero(_u5396)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5396), hAPP(c_Groups_Ouminus__class_Ouminus(_u5396), _u5398)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5396), _u5397)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5396), _u5398), _u5397)) )).
% 27.68/27.94 cnf(matrix-3423, plain, ( ~class_Rings_Odivision__ring(_u5399) | ( _u5400 = c_Groups_Ozero__class_Ozero(_u5399)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5399), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5399), _u5401), _u5400)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5399), _u5401), hAPP(c_Groups_Ouminus__class_Ouminus(_u5399), _u5400))) )).
% 27.68/27.94 cnf(matrix-3424, plain, ( ~class_Fields_Ofield(_u5402) | ( _u5403 = c_Groups_Ozero__class_Ozero(_u5402)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5402), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5402), _u5404), _u5403)), _u5405) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5402), hAPP(hAPP(c_Power_Opower__class_Opower(_u5402), _u5404), _u5405)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5402), _u5403), _u5405))) )).
% 27.68/27.94 cnf(matrix-3425, plain, ( ~class_Fields_Olinordered__field(_u5406) | ( _u5407 = c_Groups_Ozero__class_Ozero(_u5406)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), _u5408), _u5407)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5406), hAPP(c_Groups_Oabs__class_Oabs(_u5406), _u5408)), hAPP(c_Groups_Oabs__class_Oabs(_u5406), _u5407))) )).
% 27.68/27.94 cnf(matrix-3426, plain, ( ~class_Fields_Ofield__inverse__zero(_u5409) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5409), c_Groups_Oone__class_Oone(_u5409)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5409), _u5410), _u5411)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5409), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5409), c_Groups_Oone__class_Oone(_u5409)), _u5410)), _u5411)) )).
% 27.68/27.94 cnf(matrix-3427, plain, ( ~c_Nat__Transfer_Ois__nat(_u5412) | ~c_Nat__Transfer_Ois__nat(_u5413) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u5412, _u5413)) )).
% 27.68/27.94 cnf(matrix-3428, plain, ( ~class_Fields_Olinordered__field(_u5414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5414), _u5415), c_Groups_Ozero__class_Ozero(_u5414))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5414), _u5416), c_Groups_Ozero__class_Ozero(_u5414))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5414), c_Groups_Ozero__class_Ozero(_u5414)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5414), _u5415), _u5416))) )).
% 27.68/27.94 cnf(matrix-3429, plain, ( ~class_Fields_Olinordered__field(_u5417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5417), _u5418), c_Groups_Ozero__class_Ozero(_u5417))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5417), c_Groups_Ozero__class_Ozero(_u5417)), _u5419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5417), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5417), _u5418), _u5419)), c_Groups_Ozero__class_Ozero(_u5417))) )).
% 27.68/27.94 cnf(matrix-3430, plain, ( ~class_Fields_Olinordered__field(_u5420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5420), c_Groups_Ozero__class_Ozero(_u5420)), _u5421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5420), _u5421), _u5422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5420), c_Groups_Ozero__class_Ozero(_u5420)), _u5423)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5420), _u5423), _u5424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5420), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5420), _u5421), _u5424)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5420), _u5422), _u5423))) )).
% 27.68/27.94 cnf(matrix-3431, plain, ( ~class_Fields_Olinordered__field(_u5425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5425), c_Groups_Ozero__class_Ozero(_u5425)), _u5426)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5425), _u5426), _u5427)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5425), c_Groups_Ozero__class_Ozero(_u5425)), _u5428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5425), _u5428), _u5429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5425), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5425), _u5426), _u5429)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5425), _u5427), _u5428))) )).
% 27.68/27.94 cnf(matrix-3432, plain, ( ~class_Fields_Olinordered__field(_u5430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), c_Groups_Ozero__class_Ozero(_u5430)), _u5431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5430), _u5431), _u5432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), c_Groups_Ozero__class_Ozero(_u5430)), _u5433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), _u5433), _u5434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5430), _u5431), _u5434)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5430), _u5432), _u5433))) )).
% 27.68/27.94 cnf(matrix-3433, plain, ( ~class_Fields_Olinordered__field(_u5435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5435), c_Groups_Ozero__class_Ozero(_u5435)), _u5436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5435), _u5437), c_Groups_Ozero__class_Ozero(_u5435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5435), _u5436), _u5437)), c_Groups_Ozero__class_Ozero(_u5435))) )).
% 27.68/27.94 cnf(matrix-3434, plain, ( ~class_Fields_Olinordered__field(_u5438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), c_Groups_Ozero__class_Ozero(_u5438)), _u5439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5438), c_Groups_Ozero__class_Ozero(_u5438)), _u5440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), c_Groups_Ozero__class_Ozero(_u5438)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5438), _u5439), _u5440))) )).
% 27.68/27.94 cnf(matrix-3435, plain, ( ~class_Fields_Olinordered__field(_u5441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5441), _u5442), _u5443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5441), _u5444), c_Groups_Ozero__class_Ozero(_u5441))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5441), c_Groups_Ozero__class_Ozero(_u5441)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5441), _u5442), _u5443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5441), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5441), _u5444), _u5442)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5441), _u5444), _u5443))) )).
% 27.68/27.94 cnf(matrix-3436, plain, ( ~class_Fields_Olinordered__field(_u5445) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5445), _u5446), _u5447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5445), c_Groups_Ozero__class_Ozero(_u5445)), _u5448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5445), c_Groups_Ozero__class_Ozero(_u5445)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5445), _u5447), _u5446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5445), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5445), _u5448), _u5447)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5445), _u5448), _u5446))) )).
% 27.68/27.94 cnf(matrix-3437, plain, ( ~class_Fields_Olinordered__field(_u5449) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5449), _u5450), c_Groups_Ozero__class_Ozero(_u5449))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5449), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5449), _u5451), _u5450)), _u5452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5449), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5449), _u5452), _u5450)), _u5451)) )).
% 27.68/27.94 cnf(matrix-3438, plain, ( ~class_Fields_Olinordered__field(_u5449) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5449), _u5450), c_Groups_Ozero__class_Ozero(_u5449))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5449), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5449), _u5452), _u5450)), _u5451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5449), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5449), _u5451), _u5450)), _u5452)) )).
% 27.68/27.94 cnf(matrix-3439, plain, ( ~class_Fields_Olinordered__field(_u5453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5453), _u5454), c_Groups_Ozero__class_Ozero(_u5453))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5453), _u5455), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5453), _u5456), _u5454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5453), _u5456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5453), _u5455), _u5454))) )).
% 27.68/27.94 cnf(matrix-3440, plain, ( ~class_Fields_Olinordered__field(_u5453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5453), _u5454), c_Groups_Ozero__class_Ozero(_u5453))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5453), _u5456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5453), _u5455), _u5454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5453), _u5455), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5453), _u5456), _u5454))) )).
% 27.68/27.94 cnf(matrix-3441, plain, ( ~class_Fields_Olinordered__field(_u5457) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5457), c_Groups_Ozero__class_Ozero(_u5457)), _u5458)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5457), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5457), _u5459), _u5458)), _u5460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5457), _u5459), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5457), _u5460), _u5458))) )).
% 27.68/27.94 cnf(matrix-3442, plain, ( ~class_Fields_Olinordered__field(_u5461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5461), c_Groups_Ozero__class_Ozero(_u5461)), _u5462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5461), _u5463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5461), _u5464), _u5462))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5461), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5461), _u5463), _u5462)), _u5464)) )).
% 27.68/27.94 cnf(matrix-3443, plain, ( ~class_Fields_Olinordered__field(_u5465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5465), c_Groups_Ozero__class_Ozero(_u5465)), _u5466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5465), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5465), _u5467), _u5466)), _u5468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5465), _u5467), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5465), _u5468), _u5466))) )).
% 27.68/27.94 cnf(matrix-3444, plain, ( ~class_Fields_Olinordered__field(_u5465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5465), c_Groups_Ozero__class_Ozero(_u5465)), _u5466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5465), _u5467), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5465), _u5468), _u5466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5465), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5465), _u5467), _u5466)), _u5468)) )).
% 27.68/27.94 cnf(matrix-3445, plain, ( ~class_Fields_Olinordered__field(_u5469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5469), c_Groups_Ozero__class_Ozero(_u5469)), _u5470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5469), _u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5469), _u5472), _u5470))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5469), _u5471), _u5470)), _u5472)) )).
% 27.68/27.94 cnf(matrix-3446, plain, ( ~class_Fields_Olinordered__field(_u5469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5469), c_Groups_Ozero__class_Ozero(_u5469)), _u5470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5469), _u5471), _u5470)), _u5472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5469), _u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5469), _u5472), _u5470))) )).
% 27.68/27.94 cnf(matrix-3447, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475))) )).
% 27.68/27.94 cnf(matrix-3448, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5475), c_Groups_Ozero__class_Ozero(_u5473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475)), _u5474)) )).
% 27.68/27.94 cnf(matrix-3449, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5475), c_Groups_Ozero__class_Ozero(_u5473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5476)) )).
% 27.68/27.94 cnf(matrix-3450, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5475), c_Groups_Ozero__class_Ozero(_u5473))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5476)) )).
% 27.68/27.94 cnf(matrix-3451, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5475), c_Groups_Ozero__class_Ozero(_u5473))) )).
% 27.68/27.94 cnf(matrix-3452, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5476)) )).
% 27.68/27.94 cnf(matrix-3453, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5475)) )).
% 27.68/27.94 cnf(matrix-3454, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5475), c_Groups_Ozero__class_Ozero(_u5473))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5476)) )).
% 27.68/27.94 cnf(matrix-3455, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5475), c_Groups_Ozero__class_Ozero(_u5473))) )).
% 27.68/27.94 cnf(matrix-3456, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5473) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5473), _u5474), _u5475)), _u5476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), _u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5473), _u5476), _u5475)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5473), c_Groups_Ozero__class_Ozero(_u5473)), _u5476)) )).
% 27.68/27.94 cnf(matrix-3457, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480)), _u5479)) )).
% 27.68/27.94 cnf(matrix-3458, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5480), c_Groups_Ozero__class_Ozero(_u5477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480))) )).
% 27.68/27.94 cnf(matrix-3459, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5480), c_Groups_Ozero__class_Ozero(_u5477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.68/27.94 cnf(matrix-3460, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5480), c_Groups_Ozero__class_Ozero(_u5477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.68/27.94 cnf(matrix-3461, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5480), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.68/27.94 cnf(matrix-3462, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.68/27.94 cnf(matrix-3463, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), c_Groups_Ozero__class_Ozero(_u5477)), _u5480)) )).
% 27.68/27.94 cnf(matrix-3464, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480)), _u5479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5480), c_Groups_Ozero__class_Ozero(_u5477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.68/27.94 cnf(matrix-3465, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5480), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.68/27.94 cnf(matrix-3466, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5477), _u5479), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5477), _u5478), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5477), _u5478), c_Groups_Ozero__class_Ozero(_u5477))) )).
% 27.68/27.94 cnf(matrix-3467, plain, ( ~c_Nat__Transfer_Ois__nat(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5482)) )).
% 27.68/27.94 cnf(matrix-3468, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5483)) | c_Nat__Transfer_Ois__nat(_u5483) )).
% 27.68/27.94 cnf(matrix-3469, plain, ( ~class_Fields_Ofield(_u5484) | ( _u5485 = c_Groups_Ozero__class_Ozero(_u5484)) | ( _u5486 = c_Groups_Ozero__class_Ozero(_u5484)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5484), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5487), _u5485)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), _u5488), _u5486)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5484), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5487), _u5486)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5488), _u5485))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5485), _u5486))) )).
% 27.68/27.94 cnf(matrix-3470, plain, ( ~class_Fields_Ofield(_u5489) | ( _u5490 = c_Groups_Ozero__class_Ozero(_u5489)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5489), _u5491), _u5490)), _u5492) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5489), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), _u5491), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5489), _u5490), _u5492))), _u5490)) )).
% 27.68/27.94 cnf(matrix-3471, plain, ( ~class_Fields_Ofield__inverse__zero(_u5493) | ( _u5494 = c_Groups_Ozero__class_Ozero(_u5493)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5493), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5493), _u5495), _u5494)), _u5496) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5493), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5493), _u5495), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5493), _u5496), _u5494))), _u5494)) )).
% 27.68/27.94 cnf(matrix-3472, plain, ( ~class_Fields_Ofield(_u5497) | ( _u5498 = c_Groups_Ozero__class_Ozero(_u5497)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5497), _u5499), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5497), _u5500), _u5498)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5497), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5497), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5497), _u5498), _u5499)), _u5500)), _u5498)) )).
% 27.68/27.94 cnf(matrix-3473, plain, ( ~class_Fields_Ofield__inverse__zero(_u5501) | ( _u5502 = c_Groups_Ozero__class_Ozero(_u5501)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5501), _u5503), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5501), _u5504), _u5502)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5501), _u5504), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5501), _u5503), _u5502))), _u5502)) )).
% 27.68/27.94 cnf(matrix-3474, plain, ( ~class_Fields_Ofield(_u5505) | ( _u5506 = c_Groups_Ozero__class_Ozero(_u5505)) | ( _u5507 = c_Groups_Ozero__class_Ozero(_u5505)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5505), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5505), _u5508), _u5506)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5505), _u5509), _u5507)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5505), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5505), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5505), _u5508), _u5507)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5505), _u5509), _u5506))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5505), _u5506), _u5507))) )).
% 27.68/27.94 cnf(matrix-3475, plain, ( ~class_Fields_Ofield(_u5510) | ( _u5511 = c_Groups_Ozero__class_Ozero(_u5510)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5510), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5510), _u5512), _u5511)), _u5513) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5510), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5510), _u5512), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5510), _u5511), _u5513))), _u5511)) )).
% 27.68/27.94 cnf(matrix-3476, plain, ( ~class_Fields_Ofield(_u5514) | ( _u5515 = c_Groups_Ozero__class_Ozero(_u5514)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5514), _u5516), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5514), _u5517), _u5515)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5514), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5514), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5514), _u5515), _u5516)), _u5517)), _u5515)) )).
% 27.68/27.94 cnf(matrix-3477, plain, ( ~class_Fields_Ofield__inverse__zero(_u5518) | ~class_Int_Onumber(_u5518) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5518), _u5519), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520)) != _u5521) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520) = c_Groups_Ozero__class_Ozero(_u5518)) | ( _u5519 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5518), _u5521), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520))) )).
% 27.68/27.94 cnf(matrix-3478, plain, ( ~class_Fields_Ofield__inverse__zero(_u5518) | ~class_Int_Onumber(_u5518) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5518), _u5519), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520)) != _u5521) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520) != c_Groups_Ozero__class_Ozero(_u5518)) | ( _u5521 = c_Groups_Ozero__class_Ozero(_u5518)) )).
% 27.68/27.94 cnf(matrix-3479, plain, ( ~class_Fields_Ofield__inverse__zero(_u5518) | ~class_Int_Onumber(_u5518) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5518), _u5519), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520)) = _u5521) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520) != c_Groups_Ozero__class_Ozero(_u5518)) | ( _u5521 != c_Groups_Ozero__class_Ozero(_u5518)) )).
% 27.68/27.94 cnf(matrix-3480, plain, ( ~class_Fields_Ofield__inverse__zero(_u5518) | ~class_Int_Onumber(_u5518) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5518), _u5519), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520)) = _u5521) | ( _u5519 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5518), _u5521), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520) = c_Groups_Ozero__class_Ozero(_u5518)) )).
% 27.68/27.94 cnf(matrix-3481, plain, ( ~class_Fields_Ofield__inverse__zero(_u5518) | ~class_Int_Onumber(_u5518) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5518), _u5519), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520)) = _u5521) | ( _u5519 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5518), _u5521), hAPP(c_Int_Onumber__class_Onumber__of(_u5518), _u5520))) | ( _u5521 != c_Groups_Ozero__class_Ozero(_u5518)) )).
% 27.68/27.94 cnf(matrix-3482, plain, ( ~class_Fields_Ofield__inverse__zero(_u5522) | ~class_Int_Onumber(_u5522) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5522), _u5523), _u5524) != hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)) | ( _u5524 = c_Groups_Ozero__class_Ozero(_u5522)) | ( _u5523 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5522), hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)), _u5524)) )).
% 27.68/27.94 cnf(matrix-3483, plain, ( ~class_Fields_Ofield__inverse__zero(_u5522) | ~class_Int_Onumber(_u5522) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5522), _u5523), _u5524) != hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)) | ( _u5524 != c_Groups_Ozero__class_Ozero(_u5522)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525) = c_Groups_Ozero__class_Ozero(_u5522)) )).
% 27.68/27.94 cnf(matrix-3484, plain, ( ~class_Fields_Ofield__inverse__zero(_u5522) | ~class_Int_Onumber(_u5522) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5522), _u5523), _u5524) = hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)) | ( _u5524 != c_Groups_Ozero__class_Ozero(_u5522)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525) != c_Groups_Ozero__class_Ozero(_u5522)) )).
% 27.68/27.94 cnf(matrix-3485, plain, ( ~class_Fields_Ofield__inverse__zero(_u5522) | ~class_Int_Onumber(_u5522) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5522), _u5523), _u5524) = hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)) | ( _u5523 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5522), hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)), _u5524)) | ( _u5524 = c_Groups_Ozero__class_Ozero(_u5522)) )).
% 27.68/27.94 cnf(matrix-3486, plain, ( ~class_Fields_Ofield__inverse__zero(_u5522) | ~class_Int_Onumber(_u5522) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5522), _u5523), _u5524) = hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)) | ( _u5523 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5522), hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525)), _u5524)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5522), _u5525) != c_Groups_Ozero__class_Ozero(_u5522)) )).
% 27.68/27.94 cnf(matrix-3487, plain, ( ~class_Fields_Ofield__inverse__zero(_u5526) | ~class_Int_Onumber(_u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5526), _u5528), _u5529)) | ( _u5529 = c_Groups_Ozero__class_Ozero(_u5526)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5526), hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527)), _u5529) = _u5528) )).
% 27.68/27.94 cnf(matrix-3488, plain, ( ~class_Fields_Ofield__inverse__zero(_u5526) | ~class_Int_Onumber(_u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5526), _u5528), _u5529)) | ( _u5529 != c_Groups_Ozero__class_Ozero(_u5526)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) = c_Groups_Ozero__class_Ozero(_u5526)) )).
% 27.68/27.94 cnf(matrix-3489, plain, ( ~class_Fields_Ofield__inverse__zero(_u5526) | ~class_Int_Onumber(_u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5526), _u5528), _u5529)) | ( _u5529 != c_Groups_Ozero__class_Ozero(_u5526)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) != c_Groups_Ozero__class_Ozero(_u5526)) )).
% 27.68/27.94 cnf(matrix-3490, plain, ( ~class_Fields_Ofield__inverse__zero(_u5526) | ~class_Int_Onumber(_u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5526), _u5528), _u5529)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5526), hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527)), _u5529) != _u5528) | ( _u5529 = c_Groups_Ozero__class_Ozero(_u5526)) )).
% 27.68/27.94 cnf(matrix-3491, plain, ( ~class_Fields_Ofield__inverse__zero(_u5526) | ~class_Int_Onumber(_u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5526), _u5528), _u5529)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5526), hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527)), _u5529) != _u5528) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5526), _u5527) != c_Groups_Ozero__class_Ozero(_u5526)) )).
% 27.68/27.94 cnf(matrix-3492, plain, ( ~class_Fields_Ofield__inverse__zero(_u5530) | ~class_Int_Onumber(_u5530) | ( _u5531 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5530), _u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533) = c_Groups_Ozero__class_Ozero(_u5530)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5530), _u5531), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533)) = _u5532) )).
% 27.68/27.94 cnf(matrix-3493, plain, ( ~class_Fields_Ofield__inverse__zero(_u5530) | ~class_Int_Onumber(_u5530) | ( _u5531 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5530), _u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533) != c_Groups_Ozero__class_Ozero(_u5530)) | ( _u5531 = c_Groups_Ozero__class_Ozero(_u5530)) )).
% 27.68/27.94 cnf(matrix-3494, plain, ( ~class_Fields_Ofield__inverse__zero(_u5530) | ~class_Int_Onumber(_u5530) | ( _u5531 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5530), _u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533) != c_Groups_Ozero__class_Ozero(_u5530)) | ( _u5531 != c_Groups_Ozero__class_Ozero(_u5530)) )).
% 27.68/27.94 cnf(matrix-3495, plain, ( ~class_Fields_Ofield__inverse__zero(_u5530) | ~class_Int_Onumber(_u5530) | ( _u5531 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5530), _u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5530), _u5531), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533)) != _u5532) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533) = c_Groups_Ozero__class_Ozero(_u5530)) )).
% 27.68/27.94 cnf(matrix-3496, plain, ( ~class_Fields_Ofield__inverse__zero(_u5530) | ~class_Int_Onumber(_u5530) | ( _u5531 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5530), _u5532), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5530), _u5531), hAPP(c_Int_Onumber__class_Onumber__of(_u5530), _u5533)) != _u5532) | ( _u5531 != c_Groups_Ozero__class_Ozero(_u5530)) )).
% 27.68/27.94 cnf(matrix-3497, plain, ( ~class_Fields_Olinordered__field(_u5534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5534), _u5535), _u5536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5534), _u5535), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5534), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5534), _u5535), _u5536)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5534), c_Groups_Oone__class_Oone(_u5534)), c_Groups_Oone__class_Oone(_u5534))))) )).
% 27.68/27.94 cnf(matrix-3498, plain, ( ~class_Fields_Olinordered__field(_u5537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5537), _u5538), _u5539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5537), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5537), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5537), _u5538), _u5539)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5537), c_Groups_Oone__class_Oone(_u5537)), c_Groups_Oone__class_Oone(_u5537)))), _u5539)) )).
% 27.68/27.94 cnf(matrix-3499, plain, ( ~class_Fields_Ofield__inverse__zero(_u5540) | ~class_Int_Onumber__ring(_u5540) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5540), _u5541), hAPP(c_Int_Onumber__class_Onumber__of(_u5540), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u5540)) )).
% 27.68/27.94 cnf(matrix-3500, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5542), c_Groups_Ozero__class_Ozero(_u5542)), _u5543)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5542), hAPP(c_Groups_Oabs__class_Oabs(_u5542), _u5544)), _u5543) = hAPP(c_Groups_Oabs__class_Oabs(_u5542), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5542), _u5544), _u5543))) )).
% 27.68/27.94 cnf(matrix-3501, plain, ( ~class_Fields_Ofield(_u5545) | ~class_Int_Onumber__ring(_u5545) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5545), _u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5545), c_Int_OBit1(c_Int_OPls))) = _u5546) )).
% 27.68/27.94 cnf(matrix-3502, plain, ( ~class_Fields_Ofield(_u5547) | ~class_Int_Onumber__ring(_u5547) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5547), _u5548), hAPP(c_Int_Onumber__class_Onumber__of(_u5547), c_Int_OBit1(c_Int_OPls))) = _u5548) )).
% 27.68/27.94 cnf(matrix-3503, plain, ( ~class_Fields_Ofield__inverse__zero(_u5549) | ~class_Int_Onumber__ring(_u5549) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5549), _u5550), hAPP(c_Int_Onumber__class_Onumber__of(_u5549), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5549), _u5550)) )).
% 27.68/27.94 cnf(matrix-3504, 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)) )).
% 27.68/27.94 cnf(matrix-3505, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554)), _u5553)) )).
% 27.68/27.94 cnf(matrix-3506, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), _u5554), c_Groups_Ozero__class_Ozero(_u5551))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554))) )).
% 27.68/27.94 cnf(matrix-3507, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), _u5554), c_Groups_Ozero__class_Ozero(_u5551))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.68/27.94 cnf(matrix-3508, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), _u5554), c_Groups_Ozero__class_Ozero(_u5551))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.68/27.94 cnf(matrix-3509, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), _u5554), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.68/27.94 cnf(matrix-3510, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.68/27.94 cnf(matrix-3511, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554)), _u5553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), c_Groups_Ozero__class_Ozero(_u5551)), _u5554)) )).
% 27.68/27.94 cnf(matrix-3512, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554)), _u5553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), _u5554), c_Groups_Ozero__class_Ozero(_u5551))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.68/27.94 cnf(matrix-3513, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554)), _u5553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5551), _u5554), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.68/27.94 cnf(matrix-3514, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5551) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5551), _u5553), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554)), _u5553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5551), _u5552), _u5554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5551), _u5552), c_Groups_Ozero__class_Ozero(_u5551))) )).
% 27.68/27.94 cnf(matrix-3515, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), _u5556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557))) )).
% 27.68/27.94 cnf(matrix-3516, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), _u5557), c_Groups_Ozero__class_Ozero(_u5555))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557)), _u5556)) )).
% 27.68/27.94 cnf(matrix-3517, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), _u5557), c_Groups_Ozero__class_Ozero(_u5555))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5558)) )).
% 27.68/27.94 cnf(matrix-3518, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), _u5557), c_Groups_Ozero__class_Ozero(_u5555))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5558)) )).
% 27.68/27.94 cnf(matrix-3519, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), _u5557), c_Groups_Ozero__class_Ozero(_u5555))) )).
% 27.68/27.94 cnf(matrix-3520, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5558)) )).
% 27.68/27.94 cnf(matrix-3521, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), _u5556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5557)) )).
% 27.68/27.94 cnf(matrix-3522, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), _u5556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), _u5557), c_Groups_Ozero__class_Ozero(_u5555))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5558)) )).
% 27.68/27.94 cnf(matrix-3523, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), _u5556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5555), _u5557), c_Groups_Ozero__class_Ozero(_u5555))) )).
% 27.68/27.94 cnf(matrix-3524, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5555), _u5556), _u5557)), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), _u5556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5555), _u5558), _u5557)), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5555), c_Groups_Ozero__class_Ozero(_u5555)), _u5558)) )).
% 27.68/27.94 cnf(matrix-3525, plain, ( ~class_Fields_Olinordered__field(_u5559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5559), c_Groups_Ozero__class_Ozero(_u5559)), _u5560)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5559), _u5561), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5559), _u5562), _u5560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5559), _u5561), _u5560)), _u5562)) )).
% 27.68/27.94 cnf(matrix-3526, plain, ( ~class_Fields_Olinordered__field(_u5559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5559), c_Groups_Ozero__class_Ozero(_u5559)), _u5560)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5559), _u5561), _u5560)), _u5562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5559), _u5561), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5559), _u5562), _u5560))) )).
% 27.68/27.94 cnf(matrix-3527, plain, ( ~class_Fields_Olinordered__field(_u5563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5563), c_Groups_Ozero__class_Ozero(_u5563)), _u5564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5563), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5563), _u5565), _u5564)), _u5566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5563), _u5565), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5563), _u5566), _u5564))) )).
% 27.68/27.94 cnf(matrix-3528, plain, ( ~class_Fields_Olinordered__field(_u5563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5563), c_Groups_Ozero__class_Ozero(_u5563)), _u5564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5563), _u5565), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5563), _u5566), _u5564))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5563), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5563), _u5565), _u5564)), _u5566)) )).
% 27.68/27.94 cnf(matrix-3529, plain, ( ~class_Fields_Olinordered__field(_u5567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5567), c_Groups_Ozero__class_Ozero(_u5567)), _u5568)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5567), _u5569), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5567), _u5570), _u5568))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5567), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5567), _u5569), _u5568)), _u5570)) )).
% 27.68/27.94 cnf(matrix-3530, plain, ( ~class_Fields_Olinordered__field(_u5571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5571), c_Groups_Ozero__class_Ozero(_u5571)), _u5572)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5571), _u5573), _u5572)), _u5574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5571), _u5573), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5571), _u5574), _u5572))) )).
% 27.68/27.94 cnf(matrix-3531, plain, ( ~class_Fields_Olinordered__field(_u5575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), _u5576), c_Groups_Ozero__class_Ozero(_u5575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5575), _u5577), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5575), _u5578), _u5576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5575), _u5578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5575), _u5577), _u5576))) )).
% 27.68/27.94 cnf(matrix-3532, plain, ( ~class_Fields_Olinordered__field(_u5575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), _u5576), c_Groups_Ozero__class_Ozero(_u5575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5575), _u5578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5575), _u5577), _u5576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5575), _u5577), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5575), _u5578), _u5576))) )).
% 27.68/27.94 cnf(matrix-3533, plain, ( ~class_Fields_Olinordered__field(_u5579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5579), _u5580), c_Groups_Ozero__class_Ozero(_u5579))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5579), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5579), _u5581), _u5580)), _u5582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5579), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5579), _u5582), _u5580)), _u5581)) )).
% 27.68/27.94 cnf(matrix-3534, plain, ( ~class_Fields_Olinordered__field(_u5579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5579), _u5580), c_Groups_Ozero__class_Ozero(_u5579))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5579), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5579), _u5582), _u5580)), _u5581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5579), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5579), _u5581), _u5580)), _u5582)) )).
% 27.68/27.94 cnf(matrix-3535, plain, ( ~class_Fields_Olinordered__field(_u5583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5583), _u5584), _u5585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5583), c_Groups_Ozero__class_Ozero(_u5583)), _u5586)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5583), c_Groups_Ozero__class_Ozero(_u5583)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5583), _u5585), _u5584))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5583), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5583), _u5586), _u5585)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5583), _u5586), _u5584))) )).
% 27.68/27.94 cnf(matrix-3536, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5587), _u5588), _u5589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5587), _u5590), c_Groups_Ozero__class_Ozero(_u5587))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5587), c_Groups_Ozero__class_Ozero(_u5587)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), _u5588), _u5589))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5587), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5587), _u5590), _u5588)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5587), _u5590), _u5589))) )).
% 27.68/27.94 cnf(matrix-3537, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))), _u5593)) )).
% 27.68/27.94 cnf(matrix-3538, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)), c_Groups_Ozero__class_Ozero(_u5591))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) )).
% 27.68/27.94 cnf(matrix-3539, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)), c_Groups_Ozero__class_Ozero(_u5591))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.68/27.94 cnf(matrix-3540, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)), c_Groups_Ozero__class_Ozero(_u5591))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.68/27.94 cnf(matrix-3541, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.68/27.94 cnf(matrix-3542, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.68/27.94 cnf(matrix-3543, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))), _u5593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), c_Groups_Ozero__class_Ozero(_u5591)), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))) )).
% 27.68/27.94 cnf(matrix-3544, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))), _u5593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)), c_Groups_Ozero__class_Ozero(_u5591))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.68/27.94 cnf(matrix-3545, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))), _u5593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.68/27.94 cnf(matrix-3546, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5591) | ~class_Int_Onumber(_u5591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5593), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594))), _u5593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), _u5594)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5591), _u5592), c_Groups_Ozero__class_Ozero(_u5591))) )).
% 27.68/27.94 cnf(matrix-3547, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598)), _u5597)) )).
% 27.68/27.94 cnf(matrix-3548, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5598), c_Groups_Ozero__class_Ozero(_u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598))) )).
% 27.68/27.94 cnf(matrix-3549, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5598), c_Groups_Ozero__class_Ozero(_u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.68/27.94 cnf(matrix-3550, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5598), c_Groups_Ozero__class_Ozero(_u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.68/27.94 cnf(matrix-3551, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5598), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.68/27.94 cnf(matrix-3552, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.68/27.94 cnf(matrix-3553, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598)), _u5597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), c_Groups_Ozero__class_Ozero(_u5595)), _u5598)) )).
% 27.68/27.94 cnf(matrix-3554, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598)), _u5597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5598), c_Groups_Ozero__class_Ozero(_u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.68/27.94 cnf(matrix-3555, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598)), _u5597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5598), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.68/27.94 cnf(matrix-3556, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5595) | ~class_Int_Onumber(_u5595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5595), _u5597), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598)), _u5597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), _u5597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), _u5598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5595), hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)), c_Groups_Ozero__class_Ozero(_u5595))) )).
% 27.68/27.94 cnf(matrix-3557, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601))) )).
% 27.68/27.94 cnf(matrix-3558, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5601), c_Groups_Ozero__class_Ozero(_u5599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601)), _u5600)) )).
% 27.68/27.94 cnf(matrix-3559, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5601), c_Groups_Ozero__class_Ozero(_u5599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) )).
% 27.68/27.94 cnf(matrix-3560, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5601), c_Groups_Ozero__class_Ozero(_u5599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) )).
% 27.68/27.94 cnf(matrix-3561, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601)), _u5600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5601), c_Groups_Ozero__class_Ozero(_u5599))) )).
% 27.68/27.94 cnf(matrix-3562, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601)), _u5600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) )).
% 27.68/27.94 cnf(matrix-3563, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), _u5601)) )).
% 27.68/27.94 cnf(matrix-3564, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5601), c_Groups_Ozero__class_Ozero(_u5599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) )).
% 27.68/27.94 cnf(matrix-3565, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601)), _u5600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5601), c_Groups_Ozero__class_Ozero(_u5599))) )).
% 27.68/27.94 cnf(matrix-3566, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5599) | ~class_Int_Onumber(_u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5599), _u5600), _u5601)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), _u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5599), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602)), _u5601)), _u5600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5599), c_Groups_Ozero__class_Ozero(_u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5599), _u5602))) )).
% 27.68/27.94 cnf(matrix-3567, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), _u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)))) )).
% 27.68/27.94 cnf(matrix-3568, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)), c_Groups_Ozero__class_Ozero(_u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5604)) )).
% 27.68/27.94 cnf(matrix-3569, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)), c_Groups_Ozero__class_Ozero(_u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), _u5606)) )).
% 27.68/27.94 cnf(matrix-3570, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)), c_Groups_Ozero__class_Ozero(_u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), _u5606)) )).
% 27.68/27.94 cnf(matrix-3571, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)), c_Groups_Ozero__class_Ozero(_u5603))) )).
% 27.68/27.94 cnf(matrix-3572, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), _u5606)) )).
% 27.68/27.94 cnf(matrix-3573, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), _u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))) )).
% 27.68/27.94 cnf(matrix-3574, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), _u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)), c_Groups_Ozero__class_Ozero(_u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), _u5606)) )).
% 27.68/27.94 cnf(matrix-3575, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), _u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)), c_Groups_Ozero__class_Ozero(_u5603))) )).
% 27.68/27.94 cnf(matrix-3576, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5603) | ~class_Int_Onumber(_u5603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5603), _u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), _u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5603), _u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5603), _u5605))), _u5604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5603), c_Groups_Ozero__class_Ozero(_u5603)), _u5606)) )).
% 27.68/27.94 cnf(matrix-3577, plain, ( ~class_Fields_Ofield(_u5607) | ( _u5608 = c_Groups_Ozero__class_Ozero(_u5607)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5609), _u5610)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5607), _u5608), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5610), _u5609)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5607), hAPP(hAPP(c_Power_Opower__class_Opower(_u5607), _u5608), _u5610)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5607), _u5608), _u5609))) )).
% 27.68/27.94 cnf(matrix-3578, plain, ( ~class_Fields_Ofield__inverse__zero(_u5611) | ~class_Int_Onumber__ring(_u5611) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5611), c_Int_OMin)), _u5612) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5611), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5611), c_Groups_Oone__class_Oone(_u5611)), _u5612))) )).
% 27.68/27.94 cnf(matrix-3579, 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)))) )).
% 27.68/27.94 cnf(matrix-3580, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), _u5614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)))) )).
% 27.68/27.94 cnf(matrix-3581, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)), c_Groups_Ozero__class_Ozero(_u5613))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5614)) )).
% 27.68/27.94 cnf(matrix-3582, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)), c_Groups_Ozero__class_Ozero(_u5613))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), _u5616)) )).
% 27.68/27.94 cnf(matrix-3583, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)), c_Groups_Ozero__class_Ozero(_u5613))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), _u5616)) )).
% 27.68/27.94 cnf(matrix-3584, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)), c_Groups_Ozero__class_Ozero(_u5613))) )).
% 27.68/27.94 cnf(matrix-3585, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), _u5616)) )).
% 27.68/27.94 cnf(matrix-3586, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), _u5614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))) )).
% 27.68/27.94 cnf(matrix-3587, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), _u5614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)), c_Groups_Ozero__class_Ozero(_u5613))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), _u5616)) )).
% 27.68/27.94 cnf(matrix-3588, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), _u5614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5613), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)), c_Groups_Ozero__class_Ozero(_u5613))) )).
% 27.68/27.94 cnf(matrix-3589, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5613) | ~class_Int_Onumber(_u5613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5613), _u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), _u5614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5613), _u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5613), _u5615))), _u5614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5613), c_Groups_Ozero__class_Ozero(_u5613)), _u5616)) )).
% 27.68/27.94 cnf(matrix-3590, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), _u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619))) )).
% 27.68/27.94 cnf(matrix-3591, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), _u5619), c_Groups_Ozero__class_Ozero(_u5617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619)), _u5618)) )).
% 27.68/27.94 cnf(matrix-3592, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), _u5619), c_Groups_Ozero__class_Ozero(_u5617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) )).
% 27.68/27.94 cnf(matrix-3593, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), _u5619), c_Groups_Ozero__class_Ozero(_u5617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) )).
% 27.68/27.94 cnf(matrix-3594, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619)), _u5618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), _u5619), c_Groups_Ozero__class_Ozero(_u5617))) )).
% 27.68/27.94 cnf(matrix-3595, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619)), _u5618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) )).
% 27.68/27.94 cnf(matrix-3596, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), _u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), _u5619)) )).
% 27.68/27.94 cnf(matrix-3597, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), _u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), _u5619), c_Groups_Ozero__class_Ozero(_u5617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) )).
% 27.68/27.94 cnf(matrix-3598, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), _u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619)), _u5618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5617), _u5619), c_Groups_Ozero__class_Ozero(_u5617))) )).
% 27.68/27.94 cnf(matrix-3599, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5617) | ~class_Int_Onumber(_u5617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5617), _u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), _u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5617), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620)), _u5619)), _u5618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5617), c_Groups_Ozero__class_Ozero(_u5617)), hAPP(c_Int_Onumber__class_Onumber__of(_u5617), _u5620))) )).
% 27.68/27.94 cnf(matrix-3600, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624)), _u5623)) )).
% 27.68/27.94 cnf(matrix-3601, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), _u5624), c_Groups_Ozero__class_Ozero(_u5621))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624))) )).
% 27.68/27.94 cnf(matrix-3602, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), _u5624), c_Groups_Ozero__class_Ozero(_u5621))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.68/27.94 cnf(matrix-3603, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), _u5624), c_Groups_Ozero__class_Ozero(_u5621))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.68/27.94 cnf(matrix-3604, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), _u5624), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.68/27.94 cnf(matrix-3605, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.68/27.94 cnf(matrix-3606, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), c_Groups_Ozero__class_Ozero(_u5621)), _u5624)) )).
% 27.68/27.94 cnf(matrix-3607, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624)), _u5623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), _u5624), c_Groups_Ozero__class_Ozero(_u5621))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.68/27.94 cnf(matrix-3608, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5621), _u5624), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.68/27.94 cnf(matrix-3609, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5621) | ~class_Int_Onumber(_u5621) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5621), _u5623), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), c_Groups_Ozero__class_Ozero(_u5621))) )).
% 27.68/27.94 cnf(matrix-3610, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))), _u5627)) )).
% 27.68/27.94 cnf(matrix-3611, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)), c_Groups_Ozero__class_Ozero(_u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) )).
% 27.68/27.94 cnf(matrix-3612, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)), c_Groups_Ozero__class_Ozero(_u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.68/27.94 cnf(matrix-3613, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)), c_Groups_Ozero__class_Ozero(_u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.68/27.94 cnf(matrix-3614, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.68/27.94 cnf(matrix-3615, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.68/27.94 cnf(matrix-3616, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))), _u5627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), c_Groups_Ozero__class_Ozero(_u5625)), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))) )).
% 27.68/27.94 cnf(matrix-3617, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))), _u5627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)), c_Groups_Ozero__class_Ozero(_u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.68/27.94 cnf(matrix-3618, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))), _u5627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5625), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.68/27.94 cnf(matrix-3619, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5625) | ~class_Int_Onumber(_u5625) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5625), _u5627), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628))), _u5627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5625), _u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5625), _u5628)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5625), _u5626), c_Groups_Ozero__class_Ozero(_u5625))) )).
% 27.68/27.94 cnf(matrix-3620, plain, ( ( _u5631 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5631, _u5633) = _u5633) )).
% 27.68/27.94 cnf(matrix-3621, plain, ( ( _u5632 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5632, _u5634) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5632), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u5634))) )).
% 27.68/27.94 cnf(matrix-3622, 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)) )).
% 27.68/27.94 cnf(matrix-3623, 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)) )).
% 27.68/27.94 cnf(matrix-3624, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5635, _u5636, _u5637, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5636) )).
% 27.68/27.94 cnf(matrix-3625, plain, ( ( c_Random_Olog(_u5640, _u5642) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5640), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 27.68/27.94 cnf(matrix-3626, plain, ( ( c_Random_Olog(_u5640, _u5642) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5642), _u5640)) )).
% 27.68/27.94 cnf(matrix-3627, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5641), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5643), _u5641)) | ( c_Random_Olog(_u5641, _u5643) = 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(_u5641, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u5643), _u5641)))) )).
% 27.68/27.94 cnf(matrix-3628, plain, ( ~class_Fields_Olinordered__field(_u5645) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5645), _u5646), _u5647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5645), c_Groups_Ozero__class_Ozero(_u5645)), skolem86(_u5647, _u5646, _u5645))) )).
% 27.68/27.94 cnf(matrix-3629, plain, ( ~class_Fields_Olinordered__field(_u5645) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5645), _u5646), _u5647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5645), _u5646), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5645), _u5647), skolem86(_u5647, _u5646, _u5645)))) )).
% 27.68/27.94 cnf(matrix-3630, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5651), _u5653)) | ( c_Random_Ominus__shift(_u5655, _u5651, _u5653) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5655), _u5651)), _u5653)) )).
% 27.68/27.94 cnf(matrix-3631, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5652), _u5654)) | ( c_Random_Ominus__shift(_u5656, _u5652, _u5654) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5652), _u5654)) )).
% 27.68/27.94 cnf(matrix-3632, plain, ( ( _u5659 != _u5661) | ( c_Random_Oinc__shift(_u5659, _u5661) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 27.68/27.94 cnf(matrix-3633, plain, ( ( _u5660 = _u5662) | ( c_Random_Oinc__shift(_u5660, _u5662) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5662), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 27.68/27.94 cnf(matrix-3634, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u5663)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u5663)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.94 cnf(matrix-3635, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u5664)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u5664)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.94 cnf(matrix-3636, plain, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 27.68/27.94 cnf(matrix-3637, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5665), _u5666) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u5665), _u5666)) )).
% 27.68/27.94 cnf(matrix-3638, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u5669) != c_Code__Numeral_OSuc__code__numeral(_u5671)) | ( _u5669 = _u5671) )).
% 27.68/27.94 cnf(matrix-3639, plain, ( ( _u5670 != _u5672) | ( c_Code__Numeral_OSuc__code__numeral(_u5670) = c_Code__Numeral_OSuc__code__numeral(_u5672)) )).
% 27.68/27.94 cnf(matrix-3640, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(_u5673)) )).
% 27.68/27.94 cnf(matrix-3641, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u5674) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 27.68/27.94 cnf(matrix-3642, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5675, _u5676, _u5677, c_Code__Numeral_OSuc__code__numeral(_u5678)) = hAPP(_u5677, _u5678)) )).
% 27.68/27.94 cnf(matrix-3643, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u5679)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u5679) )).
% 27.68/27.94 cnf(matrix-3644, 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), _u5680))) | ~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), _u5680)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5680)) = 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), _u5680)))) )).
% 27.68/27.94 cnf(matrix-3645, 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), _u5680))) | 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), _u5680)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5680)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5680)), 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), _u5680))))) )).
% 27.68/27.94 cnf(matrix-3646, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5683), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5685)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5683)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5685)) )).
% 27.68/27.94 cnf(matrix-3647, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5684), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5686)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5684)) = 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), _u5686), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5684)))), 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))) )).
% 27.68/27.94 cnf(matrix-3648, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5687, _u5688, _u5689, c_Code__Numeral_OSuc__code__numeral(_u5690)) = hAPP(hAPP(_u5689, _u5690), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5687, _u5688, _u5689, _u5690))) )).
% 27.68/27.94 cnf(matrix-3649, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5691), _u5692)) | ( c_Divides_Odivmod__nat(_u5692, _u5691) = 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), _u5692), _u5691)), _u5691))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5692), _u5691), _u5691))) )).
% 27.68/27.94 cnf(matrix-3650, plain, ( ( _u5694 = 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)), _u5694)) )).
% 27.68/27.94 cnf(matrix-3651, 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)), _u5695)) | ( _u5695 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.94 cnf(matrix-3652, plain, ( ( c_Divides_Odivmod__nat(_u5696, 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)), _u5696)) )).
% 27.68/27.94 cnf(matrix-3653, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, _u5699) != hAPP(c_Code__Numeral_Oof__nat, _u5701)) | ( _u5699 = _u5701) )).
% 27.68/27.94 cnf(matrix-3654, plain, ( ( _u5700 != _u5702) | ( hAPP(c_Code__Numeral_Oof__nat, _u5700) = hAPP(c_Code__Numeral_Oof__nat, _u5702)) )).
% 27.68/27.94 cnf(matrix-3655, plain, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 27.68/27.94 cnf(matrix-3656, plain, ( ~class_Groups_Ouminus(_u5703) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5704, _u5703)), _u5705), _u5706) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5703), hAPP(_u5705, _u5706))) )).
% 27.68/27.94 cnf(matrix-3657, plain, ( ~class_Groups_Ominus(_u5707) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5708, _u5707)), _u5709), _u5710), _u5711) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5707), hAPP(_u5709, _u5711)), hAPP(_u5710, _u5711))) )).
% 27.68/27.94 cnf(matrix-3658, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5712), _u5713)) | ( c_Divides_Odivmod__nat(_u5712, _u5713) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5712)) )).
% 27.68/27.94 cnf(matrix-3659, plain, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5714) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5714))) )).
% 27.68/27.94 cnf(matrix-3660, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5715)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5715)), 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)))) )).
% 27.68/27.94 cnf(matrix-3661, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(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_Otimes__class_Otimes(tc_Nat_Onat), _u5716), _u5717))) )).
% 27.68/27.94 cnf(matrix-3662, plain, ( ( c_Divides_Odivmod__nat(_u5718, _u5719) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5718), _u5719)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5718, _u5719))) )).
% 27.68/27.94 cnf(matrix-3663, plain, ( ~class_Int_Onumber__ring(_u5720) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5720), _u5721), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5722))) = hAPP(hAPP(c_HOL_OLet(_u5720, _u5720), hAPP(hAPP(c_Power_Opower__class_Opower(_u5720), _u5721), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5722))), hAPP(hAPP(c_COMBS(_u5720, _u5720, _u5720), c_Groups_Otimes__class_Otimes(_u5720)), c_COMBI(_u5720)))) )).
% 27.68/27.94 cnf(matrix-3664, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5724))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5724))), 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)))) )).
% 27.68/27.94 cnf(matrix-3665, plain, ( ~class_Int_Onumber__ring(_u5725) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5725), _u5726)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5727))) = hAPP(hAPP(c_HOL_OLet(_u5725, _u5725), hAPP(hAPP(c_Power_Opower__class_Opower(_u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5725), _u5726)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5727))), hAPP(hAPP(c_COMBS(_u5725, _u5725, _u5725), c_Groups_Otimes__class_Otimes(_u5725)), c_COMBI(_u5725)))) )).
% 27.68/27.94 cnf(matrix-3666, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5730)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5732)), hAPP(c_Int_Onat, _u5730)) = hAPP(c_Int_Onat, _u5732)) )).
% 27.68/27.94 cnf(matrix-3667, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5731)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5733)), hAPP(c_Int_Onat, _u5731)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5733), _u5731)), 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))) )).
% 27.68/27.94 cnf(matrix-3668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5734), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5735)) | ( c_Divides_OnegDivAlg(_u5734, _u5735) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5734), _u5735)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5734, _u5735))) )).
% 27.68/27.94 cnf(matrix-3669, plain, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u5736) = 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), _u5736), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 27.68/27.94 cnf(matrix-3670, plain, ( ~class_Rings_Osemiring__1(_u5737) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5737), _u5738) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u5737, hAPP(hAPP(c_COMBC(_u5737, _u5737, _u5737), c_Groups_Oplus__class_Oplus(_u5737)), c_Groups_Oone__class_Oone(_u5737)), _u5738, c_Groups_Ozero__class_Ozero(_u5737))) )).
% 27.68/27.94 cnf(matrix-3671, plain, ( ( hAPP(c_Divides_Oadjust(_u5739), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5740), _u5741)) = 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), _u5741), _u5739)), 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)))), _u5740)), 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)))), _u5740)), _u5741)))) )).
% 27.68/27.94 cnf(matrix-3672, 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))) )).
% 27.68/27.94 cnf(matrix-3673, 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))) )).
% 27.68/27.94 cnf(matrix-3674, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5744)), hAPP(c_Code__Numeral_Oof__nat, _u5746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5744), _u5746)) )).
% 27.68/27.94 cnf(matrix-3675, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5745), _u5747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5745)), hAPP(c_Code__Numeral_Oof__nat, _u5747))) )).
% 27.68/27.94 cnf(matrix-3676, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5750) != hAPP(c_Nat_OSuc, _u5752)) | 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(_u5750))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5752))))) )).
% 27.68/27.94 cnf(matrix-3677, 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(_u5751))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5753))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5751) = hAPP(c_Nat_OSuc, _u5753)) )).
% 27.68/27.94 cnf(matrix-3678, plain, ( ( hAPP(c_Nat_OSuc, _u5756) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5758)) | 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(_u5758))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5756))))) )).
% 27.68/27.94 cnf(matrix-3679, 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(_u5759))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5757))))) | ( hAPP(c_Nat_OSuc, _u5757) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5759)) )).
% 27.68/27.94 cnf(matrix-3680, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5760)), hAPP(c_Code__Numeral_Oof__nat, _u5761)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5760), _u5761))) )).
% 27.68/27.94 cnf(matrix-3681, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5764)), hAPP(c_Code__Numeral_Oof__nat, _u5766))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5764), _u5766)) )).
% 27.68/27.94 cnf(matrix-3682, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), _u5767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u5765)), hAPP(c_Code__Numeral_Oof__nat, _u5767))) )).
% 27.68/27.94 cnf(matrix-3683, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5769))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5769)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-3684, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5770))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5770)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5770)), 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))))) )).
% 27.68/27.94 cnf(matrix-3685, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5773)), hAPP(c_Nat_OSuc, _u5775))) | 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(_u5773))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5775)))) )).
% 27.68/27.94 cnf(matrix-3686, 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(_u5774))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5776)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5774)), hAPP(c_Nat_OSuc, _u5776))) )).
% 27.68/27.94 cnf(matrix-3687, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5779)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5781))) | 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(_u5781))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5779)), c_Int_Onat))))) )).
% 27.68/27.94 cnf(matrix-3688, 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(_u5782))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5780)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5780)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5782))) )).
% 27.68/27.94 cnf(matrix-3689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5785)), hAPP(c_Nat_OSuc, _u5787))) | 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(_u5785))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5787)))) )).
% 27.68/27.94 cnf(matrix-3690, 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(_u5786))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5788)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5786)), hAPP(c_Nat_OSuc, _u5788))) )).
% 27.68/27.94 cnf(matrix-3691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5791)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5793))) | 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(_u5793))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5791)), c_Int_Onat))))) )).
% 27.68/27.94 cnf(matrix-3692, 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(_u5794))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5792)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5792)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5794))) )).
% 27.68/27.94 cnf(matrix-3693, plain, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u5795)), hAPP(c_Code__Numeral_Oof__nat, _u5796)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5795), _u5796))) )).
% 27.68/27.94 cnf(matrix-3694, plain, ( ~class_Int_Onumber__ring(_u5797) | ~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), _u5798))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5797), _u5799), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5798))) = hAPP(hAPP(c_HOL_OLet(_u5797, _u5797), hAPP(hAPP(c_Power_Opower__class_Opower(_u5797), _u5799), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5798))), hAPP(hAPP(c_COMBS(_u5797, _u5797, _u5797), hAPP(hAPP(c_COMBB(_u5797, tc_fun(_u5797, _u5797), _u5797), c_Groups_Otimes__class_Otimes(_u5797)), hAPP(c_Groups_Otimes__class_Otimes(_u5797), _u5799))), c_COMBI(_u5797)))) )).
% 27.68/27.94 cnf(matrix-3695, plain, ( ~class_Int_Onumber__ring(_u5797) | 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), _u5798))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5797), _u5799), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5798))) = c_Groups_Oone__class_Oone(_u5797)) )).
% 27.68/27.94 cnf(matrix-3696, 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), _u5802))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5804), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5802))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5804), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5802))), 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), _u5804))), c_COMBI(tc_Int_Oint)))) )).
% 27.68/27.94 cnf(matrix-3697, 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), _u5803))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5805), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5803))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.94 cnf(matrix-3698, plain, ( ( c_Divides_OnegDivAlg(_u5808, _u5810) = 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), _u5808), _u5810))) | ~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), _u5808), _u5810))) )).
% 27.68/27.94 cnf(matrix-3699, plain, ( ( c_Divides_OnegDivAlg(_u5808, _u5810) = 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), _u5808), _u5810))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5810), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-3700, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5809), _u5811))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5811), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5809, _u5811) = hAPP(c_Divides_Oadjust(_u5811), c_Divides_OnegDivAlg(_u5809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5811)))) )).
% 27.68/27.94 cnf(matrix-3701, plain, ( ~class_Int_Onumber__ring(_u5812) | ~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), _u5813))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5812), hAPP(c_Int_Onumber__class_Onumber__of(_u5812), _u5814)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5813))) = hAPP(hAPP(c_HOL_OLet(_u5812, _u5812), hAPP(hAPP(c_Power_Opower__class_Opower(_u5812), hAPP(c_Int_Onumber__class_Onumber__of(_u5812), _u5814)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5813))), hAPP(hAPP(c_COMBS(_u5812, _u5812, _u5812), hAPP(hAPP(c_COMBB(_u5812, tc_fun(_u5812, _u5812), _u5812), c_Groups_Otimes__class_Otimes(_u5812)), hAPP(c_Groups_Otimes__class_Otimes(_u5812), hAPP(c_Int_Onumber__class_Onumber__of(_u5812), _u5814)))), c_COMBI(_u5812)))) )).
% 27.68/27.94 cnf(matrix-3702, plain, ( ~class_Int_Onumber__ring(_u5812) | 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), _u5813))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5812), hAPP(c_Int_Onumber__class_Onumber__of(_u5812), _u5814)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5813))) = c_Groups_Oone__class_Oone(_u5812)) )).
% 27.68/27.94 cnf(matrix-3703, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5815, _u5816, _u5817, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5816) )).
% 27.68/27.94 cnf(matrix-3704, 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), _u5818))) | ~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), _u5819)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5818)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5819), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5818)) = 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), _u5819)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5818)))) )).
% 27.68/27.94 cnf(matrix-3705, 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), _u5818))) | 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), _u5819)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5818)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5819), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5818)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5818)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5819), hAPP(hAPP(c_Groups_Otimes__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), _u5818))))) )).
% 27.68/27.94 cnf(matrix-3706, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5820)) | ~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), _u5821), _u5820))) | ( c_Divides_OnegDivAlg(_u5821, _u5820) = 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), _u5821), _u5820))) )).
% 27.68/27.94 cnf(matrix-3707, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5820)) | 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), _u5821), _u5820))) | ( c_Divides_OnegDivAlg(_u5821, _u5820) = hAPP(c_Divides_Oadjust(_u5820), c_Divides_OnegDivAlg(_u5821, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5820)))) )).
% 27.68/27.94 cnf(matrix-3708, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5824), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5826, _u5824) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5826), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5824))) )).
% 27.68/27.94 cnf(matrix-3709, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5825), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5827, _u5825) = 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))) | ( _u5827 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.94 cnf(matrix-3710, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5825), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5827, _u5825) = 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))) | ( _u5825 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.94 cnf(matrix-3711, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5825), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5827 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5825 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u5827, _u5825) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u5827), _u5825)), 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), _u5827))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5825)))) )).
% 27.68/27.94 cnf(matrix-3712, plain, ( ( c_Nat_Onat_Onat__case(_u5828, _u5829, _u5830, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5831)), _u5832)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5828), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5831))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5828, _u5828), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5828, tc_fun(_u5828, _u5828)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5828, tc_fun(_u5828, _u5828)), tc_Int_Oint), c_If(_u5828)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u5828, _u5829, _u5830, _u5832))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5828, tc_Int_Oint), _u5830), 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)), _u5832))))) )).
% 27.68/27.94 cnf(matrix-3713, 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), _u5833))) | ~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), _u5833))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5833)) = 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))) )).
% 27.68/27.94 cnf(matrix-3714, 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), _u5833))) | 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), _u5833))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5833)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5833)), 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), _u5833))))) )).
% 27.68/27.94 cnf(matrix-3715, plain, ( ( c_Divides_OposDivAlg(_u5836, _u5838) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5836), _u5838)) )).
% 27.68/27.94 cnf(matrix-3716, plain, ( ( c_Divides_OposDivAlg(_u5836, _u5838) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5838), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-3717, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5837), _u5839)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5839), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5837, _u5839) = hAPP(c_Divides_Oadjust(_u5839), c_Divides_OposDivAlg(_u5837, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5839)))) )).
% 27.68/27.94 cnf(matrix-3718, plain, ( ( c_Divides_Oadjust(_u5840) = 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)), _u5840))))), 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)), _u5840))))), 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)))))))) )).
% 27.68/27.94 cnf(matrix-3719, plain, ( ( c_Nat_Onat_Onat__case(_u5841, _u5842, _u5843, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u5842) )).
% 27.68/27.94 cnf(matrix-3720, plain, ( ( c_Nat_Onat_Onat__case(_u5844, _u5845, _u5846, hAPP(c_Nat_OSuc, _u5847)) = hAPP(_u5846, _u5847)) )).
% 27.68/27.94 cnf(matrix-3721, plain, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5848) = 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))) )).
% 27.68/27.94 cnf(matrix-3722, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5851)), _u5853)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5851), _u5853)) )).
% 27.68/27.94 cnf(matrix-3723, plain, ( ~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5852), _u5854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5852)), _u5854)) )).
% 27.68/27.94 cnf(matrix-3724, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5855), hAPP(c_Nat_OSuc, _u5856)) = 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), _u5855), _u5856))) )).
% 27.68/27.94 cnf(matrix-3725, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5858)) | ( c_Divides_OposDivAlg(_u5857, _u5858) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5857), _u5858)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5857, _u5858))) )).
% 27.68/27.94 cnf(matrix-3726, plain, ( ( c_Nat_Onat_Onat__case(_u5859, _u5860, _u5861, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5862)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5859), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5862))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5859, _u5859), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5859, tc_fun(_u5859, _u5859)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5859, tc_fun(_u5859, _u5859)), tc_Int_Oint), c_If(_u5859)), c_Nat__Numeral_Oneg)), _u5860)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5859, tc_Int_Oint), _u5861), c_Int_Onat)))) )).
% 27.68/27.94 cnf(matrix-3727, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5864), _u5863)) | ( c_Divides_OposDivAlg(_u5864, _u5863) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5864)) )).
% 27.68/27.94 cnf(matrix-3728, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5864), _u5863)) | ( c_Divides_OposDivAlg(_u5864, _u5863) = hAPP(c_Divides_Oadjust(_u5863), c_Divides_OposDivAlg(_u5864, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5863)))) )).
% 27.68/27.94 cnf(matrix-3729, 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), _u5865))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5866)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5865))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5866), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5865)) = 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), _u5866))) )).
% 27.68/27.94 cnf(matrix-3730, 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), _u5865))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5866)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5865))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5866), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5865)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5865)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5866), hAPP(hAPP(c_Groups_Otimes__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), _u5865))))) )).
% 27.68/27.94 cnf(matrix-3731, plain, ( ~class_Rings_Oring__1(_u5867) | ( _u5868 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5867), _u5868) = c_Groups_Ozero__class_Ozero(_u5867)) )).
% 27.68/27.94 cnf(matrix-3732, plain, ( ~class_Rings_Oring__1(_u5867) | ( _u5868 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5868), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5867), _u5868) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5867), hAPP(c_Int_Oring__1__class_Oof__int(_u5867), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5868)))) )).
% 27.68/27.94 cnf(matrix-3733, plain, ( ~class_Rings_Oring__1(_u5867) | ( _u5868 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5868), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5867), _u5868) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u5867), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u5867, _u5867)), tc_fun(tc_Int_Oint, _u5867)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5867, _u5867), _u5867), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u5867, _u5867)), tc_fun(tc_Int_Oint, _u5867)), tc_Int_Oint), c_COMBB(tc_fun(_u5867, _u5867), _u5867, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u5867, tc_fun(tc_fun(_u5867, _u5867), _u5867), tc_Int_Oint), c_HOL_OLet(_u5867, _u5867)), c_Int_Oring__1__class_Oof__int(_u5867)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5867, _u5867), tc_fun(_u5867, _u5867)), hAPP(hAPP(c_COMBB(tc_fun(_u5867, tc_fun(_u5867, _u5867)), tc_fun(tc_fun(_u5867, _u5867), tc_fun(_u5867, _u5867)), tc_Int_Oint), c_COMBS(_u5867, _u5867, _u5867)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5867, _u5867), tc_fun(_u5867, tc_fun(_u5867, _u5867))), hAPP(hAPP(c_COMBB(tc_fun(_u5867, tc_fun(_u5867, _u5867)), tc_fun(tc_fun(_u5867, _u5867), tc_fun(_u5867, tc_fun(_u5867, _u5867))), tc_Int_Oint), c_COMBB(_u5867, tc_fun(_u5867, _u5867), _u5867)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5867, tc_fun(_u5867, _u5867)), tc_Int_Oint), c_If(_u5867)), 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(_u5867, _u5867, _u5867), c_Groups_Oplus__class_Oplus(_u5867)), c_COMBI(_u5867))))), hAPP(hAPP(c_COMBC(_u5867, _u5867, _u5867), hAPP(hAPP(c_COMBB(_u5867, tc_fun(_u5867, _u5867), _u5867), c_Groups_Oplus__class_Oplus(_u5867)), hAPP(hAPP(c_COMBS(_u5867, _u5867, _u5867), c_Groups_Oplus__class_Oplus(_u5867)), c_COMBI(_u5867)))), c_Groups_Oone__class_Oone(_u5867))))), c_Divides_Odivmod__int(_u5868, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 27.68/27.94 cnf(matrix-3734, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5869, _u5870, _u5871), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5872)), _u5873)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5869), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5872))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5869, _u5869), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5869, tc_fun(_u5869, _u5869)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5869, tc_fun(_u5869, _u5869)), tc_Int_Oint), c_If(_u5869)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u5869, _u5870, _u5871), _u5873))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5869, _u5869), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5869, _u5869), tc_Int_Oint), _u5871), 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)), _u5873))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5869, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5869, _u5870, _u5871)), 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)), _u5873)))))) )).
% 27.68/27.94 cnf(matrix-3735, 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(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5878)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5874, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5875), _u5878)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5876), _u5878)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5875), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5876, _u5878))), _u5877)))) )).
% 27.68/27.94 cnf(matrix-3736, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5879, _u5880), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5881), _u5882))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5880)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5883), _u5879), _u5880), 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), _u5883), _u5881)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5883), _u5882)), _u5880))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5883), _u5882), _u5880)))) )).
% 27.68/27.94 cnf(matrix-3737, 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), _u5884), _u5885))) | ( c_Divides_OnegDivAlg(_u5884, _u5885) = 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), _u5884), _u5885))) | ~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), _u5884), _u5885))) )).
% 27.68/27.94 cnf(matrix-3738, 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), _u5884), _u5885))) | ( c_Divides_OnegDivAlg(_u5884, _u5885) = 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), _u5884), _u5885))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5885), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-3739, 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), _u5884), _u5885))) | 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), _u5884), _u5885))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5885), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5884, _u5885) = hAPP(c_Divides_Oadjust(_u5885), c_Divides_OnegDivAlg(_u5884, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5885)))) )).
% 27.68/27.94 cnf(matrix-3740, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5891, _u5893), _u5895)) | ~hBOOL(hAPP(hAPP(_u5893, _u5886), _u5895)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5891, _u5893), _u5886)) )).
% 27.68/27.94 cnf(matrix-3741, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5892, _u5894), _u5896)) | hBOOL(hAPP(hAPP(_u5894, skolem87(_u5896, _u5894, _u5892)), _u5896)) )).
% 27.68/27.94 cnf(matrix-3742, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5892, _u5894), _u5896)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5892, _u5894), skolem87(_u5896, _u5894, _u5892))) )).
% 27.68/27.94 cnf(matrix-3743, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5902, _u5904), _u5906)) | ~hBOOL(hAPP(hAPP(_u5904, _u5897), _u5906)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5902, _u5904), _u5897)) )).
% 27.68/27.94 cnf(matrix-3744, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5903, _u5905), _u5907)) | hBOOL(hAPP(hAPP(_u5905, skolem88(_u5907, _u5905, _u5903)), _u5907)) )).
% 27.68/27.94 cnf(matrix-3745, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5903, _u5905), _u5907)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5903, _u5905), skolem88(_u5907, _u5905, _u5903))) )).
% 27.68/27.94 cnf(matrix-3746, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5908, _u5909), _u5910)) | ~hBOOL(hAPP(hAPP(_u5909, _u5911), _u5910)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5908, _u5909), _u5911)) )).
% 27.68/27.94 cnf(matrix-3747, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5912, _u5913), _u5914)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5912, _u5913), _u5915)) | ( _u5914 = _u5915) )).
% 27.68/27.94 cnf(matrix-3748, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5916, tc_fun(_u5916, tc_HOL_Obool))), _u5917), _u5918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5916, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u5916, _u5918)), c_Wellfounded_Oaccp(_u5916, _u5917))) )).
% 27.68/27.94 cnf(matrix-3749, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5919, _u5920, _u5921), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u5920) )).
% 27.68/27.94 cnf(matrix-3750, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5922, _u5923, _u5924), hAPP(c_Nat_OSuc, _u5925)) = hAPP(hAPP(_u5924, _u5925), hAPP(c_Nat_Onat_Onat__rec(_u5922, _u5923, _u5924), _u5925))) )).
% 27.68/27.94 cnf(matrix-3751, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5926, _u5927), c_Divides_Odivmod__nat(_u5926, _u5927))) )).
% 27.68/27.94 cnf(matrix-3752, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5928, _u5929), _u5930)) | ( c_Divides_Odivmod__nat(_u5928, _u5929) = _u5930) )).
% 27.68/27.94 cnf(matrix-3753, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5931, _u5932), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5933), _u5934))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5931, _u5932) = _u5934) )).
% 27.68/27.94 cnf(matrix-3754, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5935, _u5936), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5937), _u5938))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5935), _u5936) = _u5937) )).
% 27.68/27.94 cnf(matrix-3755, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5939, _u5940), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5939), _u5940)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5939, _u5940)))) )).
% 27.68/27.94 cnf(matrix-3756, plain, ( ( c_Divides_Odivmod__int(_u5941, _u5942) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5941), _u5942)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5941, _u5942))) )).
% 27.68/27.94 cnf(matrix-3757, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5943, _u5944), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5945), _u5946))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5947, _u5944), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5948), _u5949))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5944)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5943), _u5947), _u5944), 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), _u5945), _u5948)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5946), _u5949)), _u5944))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5946), _u5949), _u5944)))) )).
% 27.68/27.94 cnf(matrix-3758, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5950, _u5951, _u5952), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5953)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5950), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5953))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5950, _u5950), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5950, tc_fun(_u5950, _u5950)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5950, tc_fun(_u5950, _u5950)), tc_Int_Oint), c_If(_u5950)), c_Nat__Numeral_Oneg)), _u5951)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5950, _u5950), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5950, _u5950), tc_Int_Oint), _u5952), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5950, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5950, _u5951, _u5952)), c_Int_Onat))))) )).
% 27.68/27.94 cnf(matrix-3759, 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), _u5954), _u5955))) | ( c_Divides_OposDivAlg(_u5954, _u5955) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5954), _u5955)) )).
% 27.68/27.94 cnf(matrix-3760, 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), _u5954), _u5955))) | ( c_Divides_OposDivAlg(_u5954, _u5955) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5955), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-3761, 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), _u5954), _u5955))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5954), _u5955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5955), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5954, _u5955) = hAPP(c_Divides_Oadjust(_u5955), c_Divides_OposDivAlg(_u5954, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5955)))) )).
% 27.68/27.94 cnf(matrix-3762, 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), _u5956), _u5957))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5957), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5956, _u5957) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5956), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5957))) )).
% 27.68/27.94 cnf(matrix-3763, 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), _u5956), _u5957))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5957), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5956, _u5957) = 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))) | ( _u5956 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.94 cnf(matrix-3764, 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), _u5956), _u5957))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5957), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5956, _u5957) = 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))) | ( _u5957 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.94 cnf(matrix-3765, 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), _u5956), _u5957))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5957), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5956 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5957 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u5956, _u5957) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u5956), _u5957)), 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), _u5956))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5957)))) )).
% 27.68/27.94 cnf(matrix-3766, 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))))) )).
% 27.68/27.94 cnf(matrix-3767, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5962)) | ( c_Divides_Odivmod__int(_u5960, _u5962) = c_Divides_OposDivAlg(_u5960, _u5962)) )).
% 27.68/27.94 cnf(matrix-3768, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5962)) | ( _u5960 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5960, _u5962) = 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))) )).
% 27.68/27.94 cnf(matrix-3769, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5962)) | ( _u5960 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5960, _u5962) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5960), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5962)))) )).
% 27.68/27.94 cnf(matrix-3770, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5963)) | ( c_Divides_Odivmod__int(_u5961, _u5963) = c_Divides_OnegDivAlg(_u5961, _u5963)) )).
% 27.68/27.94 cnf(matrix-3771, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5963)) | ( c_Divides_Odivmod__int(_u5961, _u5963) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5961), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5963)))) )).
% 27.68/27.94 cnf(matrix-3772, 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), _u5966), _u5967))) | hBOOL(hAPP(hAPP(_u5968, _u5966), _u5967)) | 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(_u5968, _u5967, _u5966)), skolem90(_u5968, _u5967, _u5966)))) )).
% 27.68/27.94 cnf(matrix-3773, 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), _u5966), _u5967))) | hBOOL(hAPP(hAPP(_u5968, _u5966), _u5967)) | 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(_u5968, _u5967, _u5966)), skolem90(_u5968, _u5967, _u5966)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem90(_u5968, _u5967, _u5966)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5968, skolem89(_u5968, _u5967, _u5966)), hAPP(hAPP(c_Groups_Otimes__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(_u5968, _u5967, _u5966)))) )).
% 27.68/27.94 cnf(matrix-3774, 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), _u5966), _u5967))) | hBOOL(hAPP(hAPP(_u5968, _u5966), _u5967)) | ~hBOOL(hAPP(hAPP(_u5968, skolem89(_u5968, _u5967, _u5966)), skolem90(_u5968, _u5967, _u5966))) )).
% 27.68/27.94 cnf(matrix-3775, plain, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5969), _u5970)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5969), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5970))) )).
% 27.68/27.94 cnf(matrix-3776, plain, ( ~hBOOL(hAPP(hAPP(_u5971, _u5972), _u5973)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5974, _u5975, tc_HOL_Obool), _u5971), hAPP(hAPP(c_Product__Type_OPair(_u5974, _u5975), _u5972), _u5973))) )).
% 27.68/27.94 cnf(matrix-3777, plain, ( ~hBOOL(hAPP(hAPP(_u5976, _u5977), _u5978)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5979, _u5980, tc_HOL_Obool), _u5976), hAPP(hAPP(c_Product__Type_OPair(_u5979, _u5980), _u5977), _u5978))) )).
% 27.68/27.94 cnf(matrix-3778, 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), _u5983), _u5984))) | hBOOL(hAPP(hAPP(_u5985, _u5983), _u5984)) | 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(_u5985, _u5984, _u5983)), skolem92(_u5985, _u5984, _u5983)))) )).
% 27.68/27.94 cnf(matrix-3779, 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), _u5983), _u5984))) | hBOOL(hAPP(hAPP(_u5985, _u5983), _u5984)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem91(_u5985, _u5984, _u5983)), skolem92(_u5985, _u5984, _u5983))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem92(_u5985, _u5984, _u5983)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5985, skolem91(_u5985, _u5984, _u5983)), hAPP(hAPP(c_Groups_Otimes__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(_u5985, _u5984, _u5983)))) )).
% 27.68/27.94 cnf(matrix-3780, 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), _u5983), _u5984))) | hBOOL(hAPP(hAPP(_u5985, _u5983), _u5984)) | ~hBOOL(hAPP(hAPP(_u5985, skolem91(_u5985, _u5984, _u5983)), skolem92(_u5985, _u5984, _u5983))) )).
% 27.68/27.94 cnf(matrix-3781, 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), _u5986), _u5987))) | ( _u5987 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u5986, _u5987) = _u5986) )).
% 27.68/27.94 cnf(matrix-3782, 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), _u5986), _u5987))) | ( _u5987 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u5986, _u5987) = c_Nitpick_Onat__gcd(_u5987, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5986, _u5987))) )).
% 27.68/27.94 cnf(matrix-3783, plain, ( ( _u5990 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5990, _u5992) = 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))) )).
% 27.68/27.94 cnf(matrix-3784, plain, ( ( _u5991 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5993 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5991, _u5993) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5991)) )).
% 27.68/27.94 cnf(matrix-3785, plain, ( ( _u5991 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5993 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5991, _u5993) = 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, _u5993))), 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)), _u5993)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5991))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5993), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5991), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u5991, _u5993)), 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), _u5993))))), c_Divides_Opdivmod(_u5991, _u5993))))) )).
% 27.68/27.94 cnf(matrix-3786, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u5994, _u5995, _u5996, _u5997), hAPP(hAPP(c_Product__Type_OPair(_u5996, _u5994), _u5998), _u5999)) = hAPP(hAPP(c_Product__Type_OPair(_u5996, _u5995), _u5998), hAPP(_u5997, _u5999))) )).
% 27.68/27.94 cnf(matrix-3787, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6000, _u6001), _u6002), _u6003) != hAPP(hAPP(c_Product__Type_OPair(_u6000, _u6001), _u6004), _u6005)) | ( _u6002 = _u6004) )).
% 27.68/27.94 cnf(matrix-3788, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6000, _u6001), _u6002), _u6003) != hAPP(hAPP(c_Product__Type_OPair(_u6000, _u6001), _u6004), _u6005)) | ( _u6003 = _u6005) )).
% 27.68/27.94 cnf(matrix-3789, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6012, _u6014), _u6016), _u6018) != hAPP(hAPP(c_Product__Type_OPair(_u6012, _u6014), _u6020), _u6022)) | ( _u6016 = _u6020) )).
% 27.68/27.94 cnf(matrix-3790, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6012, _u6014), _u6016), _u6018) != hAPP(hAPP(c_Product__Type_OPair(_u6012, _u6014), _u6020), _u6022)) | ( _u6018 = _u6022) )).
% 27.68/27.94 cnf(matrix-3791, plain, ( ( _u6017 != _u6021) | ( _u6019 != _u6023) | ( hAPP(hAPP(c_Product__Type_OPair(_u6013, _u6015), _u6017), _u6019) = hAPP(hAPP(c_Product__Type_OPair(_u6013, _u6015), _u6021), _u6023)) )).
% 27.68/27.94 cnf(matrix-3792, plain, ( ~hBOOL(hAPP(_u6033, skolem93(_u6037, _u6035, _u6033))) | hBOOL(hAPP(_u6033, hAPP(hAPP(c_Product__Type_OPair(_u6035, _u6037), _u6026), _u6025))) )).
% 27.68/27.94 cnf(matrix-3793, plain, ( ~hBOOL(hAPP(_u6034, hAPP(hAPP(c_Product__Type_OPair(_u6036, _u6038), skolem94(_u6038, _u6036, _u6034)), skolem95(_u6038, _u6036, _u6034)))) | hBOOL(hAPP(_u6034, _u6029)) )).
% 27.68/27.94 cnf(matrix-3794, 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))) )).
% 27.68/27.94 cnf(matrix-3795, plain, ( ( _u6039 != _u6040) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6041, _u6042, _u6043), _u6044), _u6039) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6041, _u6042, _u6043), _u6044), _u6040)) )).
% 27.68/27.94 cnf(matrix-3796, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6045, _u6046, _u6047), _u6048), hAPP(hAPP(c_Product__Type_OPair(_u6045, _u6046), _u6049), _u6050)) = hAPP(hAPP(_u6048, _u6049), _u6050)) )).
% 27.68/27.94 cnf(matrix-3797, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6051, _u6052, _u6053), _u6054), hAPP(hAPP(c_Product__Type_OPair(_u6051, _u6052), _u6055), _u6056)) = hAPP(hAPP(_u6054, _u6055), _u6056)) )).
% 27.68/27.94 cnf(matrix-3798, plain, ( hBOOL(hAPP(hAPP(_u6059, _u6060), _u6061)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6057, _u6058, tc_HOL_Obool), _u6059), hAPP(hAPP(c_Product__Type_OPair(_u6057, _u6058), _u6060), _u6061))) )).
% 27.68/27.94 cnf(matrix-3799, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u6062, _u6063, _u6064), hAPP(hAPP(c_COMBB(tc_fun(_u6063, tc_prod(_u6062, _u6063)), tc_fun(_u6063, _u6064), _u6062), hAPP(c_COMBB(tc_prod(_u6062, _u6063), _u6064, _u6063), _u6065)), c_Product__Type_OPair(_u6062, _u6063))) = _u6065) )).
% 27.68/27.94 cnf(matrix-3800, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6066, _u6067, _u6068), _u6069), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6070, _u6071, tc_prod(_u6066, _u6067)), _u6072), _u6073)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6070, _u6071, _u6068), hAPP(hAPP(c_COMBB(tc_fun(_u6071, tc_prod(_u6066, _u6067)), tc_fun(_u6071, _u6068), _u6070), hAPP(c_COMBB(tc_prod(_u6066, _u6067), _u6068, _u6071), hAPP(c_Product__Type_Oprod_Oprod__case(_u6066, _u6067, _u6068), _u6069))), _u6072)), _u6073)) )).
% 27.68/27.94 cnf(matrix-3801, plain, ( ( c_Divides_Opdivmod(_u6074, _u6075) = 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), _u6074)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6075))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6074), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6075)))) )).
% 27.68/27.94 cnf(matrix-3802, plain, ( ( _u6078 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u6080, _u6078) = 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), _u6080))) )).
% 27.68/27.94 cnf(matrix-3803, plain, ( ( _u6079 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u6081, _u6079) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6081), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6079))) )).
% 27.68/27.94 cnf(matrix-3804, plain, ( ( _u6084 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6084, _u6086) = 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))) )).
% 27.68/27.94 cnf(matrix-3805, plain, ( ( _u6085 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6087 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6085, _u6087) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6085)) )).
% 27.68/27.94 cnf(matrix-3806, plain, ( ( _u6085 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6087 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6085, _u6087) = 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, _u6087))), 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, _u6085)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u6087))), c_Divides_Opdivmod(_u6085, _u6087)), 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), _u6087))))), c_Divides_Opdivmod(_u6085, _u6087))))) )).
% 27.68/27.94 cnf(matrix-3807, plain, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u6088, _u6089) = 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), _u6088), _u6089)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6088, _u6089))) )).
% 27.68/27.94 cnf(matrix-3808, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6090, _u6091), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6092), _u6093))) | ( _u6091 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6094)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6090, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6091), _u6094)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6092), _u6094)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6091), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6092, _u6094))), _u6093)))) )).
% 27.68/27.94 cnf(matrix-3809, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6095)), 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), _u6095)) = 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), _u6095)))))) )).
% 27.68/27.94 cnf(matrix-3810, plain, ( ( c_Divides_Odivmod__int__rel(_u6096, _u6097) = 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, _u6096))), 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), _u6097)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u6097))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u6097))))), 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)), _u6097)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u6097))), 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)))))))) )).
% 27.68/27.94 cnf(matrix-3811, 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), _u6100), _u6101))) | hBOOL(hAPP(hAPP(_u6102, _u6100), _u6101)) | 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(_u6102, _u6101, _u6100)), skolem97(_u6102, _u6101, _u6100)))) )).
% 27.68/27.94 cnf(matrix-3812, 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), _u6100), _u6101))) | hBOOL(hAPP(hAPP(_u6102, _u6100), _u6101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem97(_u6102, _u6101, _u6100)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6102, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem96(_u6102, _u6101, _u6100))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem97(_u6102, _u6101, _u6100)))) )).
% 27.68/27.94 cnf(matrix-3813, 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), _u6100), _u6101))) | hBOOL(hAPP(hAPP(_u6102, _u6100), _u6101)) | ~hBOOL(hAPP(hAPP(_u6102, skolem96(_u6102, _u6101, _u6100)), skolem97(_u6102, _u6101, _u6100))) )).
% 27.68/27.94 cnf(matrix-3814, plain, ( hBOOL(hAPP(hAPP(hAPP(_u6106, _u6107), _u6108), _u6109)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6103, _u6104, tc_fun(_u6105, tc_HOL_Obool)), _u6106), hAPP(hAPP(c_Product__Type_OPair(_u6103, _u6104), _u6107), _u6108)), _u6109)) )).
% 27.68/27.94 cnf(matrix-3815, plain, ( ( _u6113 = _u6114) | ( hAPP(c_Product__Type_Osnd(_u6110, _u6111), hAPP(hAPP(c_Product__Type_OPair(_u6110, _u6111), _u6112), _u6113)) != _u6114) )).
% 27.68/27.94 cnf(matrix-3816, plain, ( ( hAPP(c_Product__Type_Osnd(_u6115, _u6116), hAPP(hAPP(c_Product__Type_OPair(_u6115, _u6116), _u6117), _u6118)) = _u6118) )).
% 27.68/27.94 cnf(matrix-3817, plain, ( ( hAPP(c_Product__Type_Osnd(_u6119, _u6120), hAPP(c_Product__Type_Oapsnd(_u6121, _u6120, _u6119, _u6122), _u6123)) = hAPP(_u6122, hAPP(c_Product__Type_Osnd(_u6119, _u6121), _u6123))) )).
% 27.68/27.94 cnf(matrix-3818, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u6130, _u6132, _u6134, _u6136), _u6138) != hAPP(c_Product__Type_Oapsnd(_u6130, _u6132, _u6134, _u6140), _u6138)) | ( hAPP(_u6136, hAPP(c_Product__Type_Osnd(_u6134, _u6130), _u6138)) = hAPP(_u6140, hAPP(c_Product__Type_Osnd(_u6134, _u6130), _u6138))) )).
% 27.68/27.94 cnf(matrix-3819, plain, ( ( hAPP(_u6137, hAPP(c_Product__Type_Osnd(_u6135, _u6131), _u6139)) != hAPP(_u6141, hAPP(c_Product__Type_Osnd(_u6135, _u6131), _u6139))) | ( hAPP(c_Product__Type_Oapsnd(_u6131, _u6133, _u6135, _u6137), _u6139) = hAPP(c_Product__Type_Oapsnd(_u6131, _u6133, _u6135, _u6141), _u6139)) )).
% 27.68/27.94 cnf(matrix-3820, plain, ( ( hAPP(c_Product__Type_Osnd(_u6142, _u6143), _u6144) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6142, _u6143, _u6143), hAPP(c_COMBK(tc_fun(_u6143, _u6143), _u6142), c_COMBI(_u6143))), _u6144)) )).
% 27.68/27.94 cnf(matrix-3821, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6145, _u6146) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u6145, _u6146))) )).
% 27.68/27.94 cnf(matrix-3822, plain, ( ( _u6147 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u6147), 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)))) )).
% 27.68/27.94 cnf(matrix-3823, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6148, _u6148), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6149), _u6150))) | ( _u6148 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6150 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.94 cnf(matrix-3824, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6151, _u6152), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6153), _u6154))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6151, _u6152), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6155), _u6156))) | ( _u6152 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6153 = _u6155) )).
% 27.68/27.94 cnf(matrix-3825, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6157, _u6158), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6159), _u6160))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6157, _u6158), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6161), _u6162))) | ( _u6158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6160 = _u6162) )).
% 27.68/27.94 cnf(matrix-3826, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6163), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6164)), _u6165)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6163, _u6164), hAPP(c_Divides_OnegateSnd, _u6165))) )).
% 27.68/27.94 cnf(matrix-3827, plain, ( ( _u6166 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6167, _u6166), c_Divides_Odivmod__int(_u6167, _u6166))) )).
% 27.68/27.94 cnf(matrix-3828, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6168, _u6168), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6169), _u6170))) | ( _u6168 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6169 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.94 cnf(matrix-3829, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6171, _u6172), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6173), _u6174))) | ( _u6172 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6171, _u6172) = _u6174) )).
% 27.68/27.94 cnf(matrix-3830, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6175, _u6176), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6177), _u6178))) | ( _u6176 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6175), _u6176) = _u6177) )).
% 27.68/27.94 cnf(matrix-3831, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6179), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6180)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6179, _u6180), c_Divides_OnegDivAlg(_u6179, _u6180))) )).
% 27.68/27.94 cnf(matrix-3832, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6181), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6182)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6181, _u6182) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u6181, _u6182))) )).
% 27.68/27.94 cnf(matrix-3833, plain, ( ( _u6183 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6184, _u6183), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6184), _u6183)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6184, _u6183)))) )).
% 27.68/27.94 cnf(matrix-3834, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6186)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6185, _u6186), c_Divides_OposDivAlg(_u6185, _u6186))) )).
% 27.68/27.94 cnf(matrix-3835, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6188)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6187, _u6188) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u6187, _u6188))) )).
% 27.68/27.94 cnf(matrix-3836, 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), _u6189))) | ( 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), _u6189)) = 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), _u6189)))) )).
% 27.68/27.94 cnf(matrix-3837, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6190, _u6191), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6192), _u6193))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6194, _u6191), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6195), _u6196))) | ( _u6191 = 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), _u6190), _u6194), _u6191), 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), _u6192), _u6195)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6193), _u6196)), _u6191))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6193), _u6196), _u6191)))) )).
% 27.68/27.94 cnf(matrix-3838, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6197, _u6198), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6199), _u6200))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6197), _u6198), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u6200), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6199)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6199)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u6200), 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), _u6198), _u6200))))) )).
% 27.68/27.94 cnf(matrix-3839, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6202), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6201, _u6202) = 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), _u6201), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6202))))) )).
% 27.68/27.94 cnf(matrix-3840, plain, ( ( c_Divides_Odivmod__nat(_u6207, _u6205) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6207)) | ( _u6205 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-3841, plain, ( ( c_Divides_Odivmod__nat(_u6207, _u6205) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6207), _u6205)) )).
% 27.68/27.94 cnf(matrix-3842, plain, ( ( _u6206 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6208), _u6206)) | ( c_Divides_Odivmod__nat(_u6208, _u6206) = 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), _u6208), _u6206), _u6206))) )).
% 27.68/27.94 cnf(matrix-3843, plain, ( ( _u6209 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6210), _u6211)), _u6212)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6209, _u6210), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6211), _u6212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6210), _u6212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6212), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-3844, plain, ( ( _u6209 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6210), _u6211)), _u6212)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6209, _u6210), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6211), _u6212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6212), _u6210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6210)) )).
% 27.68/27.94 cnf(matrix-3845, plain, ( ( _u6209 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6210), _u6211)), _u6212)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6209, _u6210), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6211), _u6212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6212), _u6210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6210), _u6212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6212), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-3846, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6213), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6214), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6213, _u6214) = 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), _u6213), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6214))))) )).
% 27.68/27.94 cnf(matrix-3847, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6215, _u6216), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6217), _u6218))) | ( _u6216 = 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), _u6219), _u6215), _u6216), 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), _u6219), _u6217)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6219), _u6218)), _u6216))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6219), _u6218), _u6216)))) )).
% 27.68/27.94 cnf(matrix-3848, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6220, tc_HOL_Obool)), _u6221), _u6222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6220, tc_HOL_Obool)), _u6222), _u6221)) | ( _u6221 = _u6222) )).
% 27.68/27.94 cnf(matrix-3849, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6223)), 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), _u6223)) = 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), _u6223)))))) )).
% 27.68/27.94 cnf(matrix-3850, 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), _u6226), _u6227))) | hBOOL(hAPP(hAPP(_u6228, _u6226), _u6227)) | 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(_u6228, _u6227, _u6226)), skolem99(_u6228, _u6227, _u6226)))) )).
% 27.68/27.94 cnf(matrix-3851, 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), _u6226), _u6227))) | hBOOL(hAPP(hAPP(_u6228, _u6226), _u6227)) | ( skolem99(_u6228, _u6227, _u6226) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u6228, skolem99(_u6228, _u6227, _u6226)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem98(_u6228, _u6227, _u6226), skolem99(_u6228, _u6227, _u6226)))) )).
% 27.68/27.94 cnf(matrix-3852, 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), _u6226), _u6227))) | hBOOL(hAPP(hAPP(_u6228, _u6226), _u6227)) | ~hBOOL(hAPP(hAPP(_u6228, skolem98(_u6228, _u6227, _u6226)), skolem99(_u6228, _u6227, _u6226))) )).
% 27.68/27.94 cnf(matrix-3853, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6229), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6230), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6229), _u6230) = 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), _u6229), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6230))))) )).
% 27.68/27.94 cnf(matrix-3854, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6231)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6232)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6232))), 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), _u6231)), c_Int_Onat))))) )).
% 27.68/27.94 cnf(matrix-3855, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6233)), hAPP(c_Nat_OSuc, _u6234)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6233), _u6234))) )).
% 27.68/27.94 cnf(matrix-3856, plain, ( ~class_Orderings_Olinorder(_u6235) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6235), _u6236), _u6237)), _u6238)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), _u6236), _u6238)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), _u6237), _u6238)) )).
% 27.68/27.94 cnf(matrix-3857, plain, ( ~class_Orderings_Olinorder(_u6235) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6235), _u6236), _u6237)), _u6238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), _u6236), _u6238)) )).
% 27.68/27.94 cnf(matrix-3858, plain, ( ~class_Orderings_Olinorder(_u6235) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6235), _u6236), _u6237)), _u6238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6235), _u6237), _u6238)) )).
% 27.68/27.94 cnf(matrix-3859, plain, ( ~class_Orderings_Olinorder(_u6239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6239), _u6240), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6239), _u6241), _u6242))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6239), _u6240), _u6241)) )).
% 27.68/27.94 cnf(matrix-3860, plain, ( ~class_Orderings_Olinorder(_u6239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6239), _u6240), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6239), _u6241), _u6242))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6239), _u6240), _u6242)) )).
% 27.68/27.94 cnf(matrix-3861, plain, ( ~class_Orderings_Olinorder(_u6243) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6243), _u6244), _u6245)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6243), _u6246), _u6247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6243), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6243), _u6244), _u6246)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6243), _u6245), _u6247))) )).
% 27.68/27.94 cnf(matrix-3862, plain, ( ~class_Orderings_Olinorder(_u6248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), _u6249), _u6250)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), _u6249), _u6251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), _u6249), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6248), _u6250), _u6251))) )).
% 27.68/27.94 cnf(matrix-3863, plain, ( ~class_Orderings_Olinorder(_u6252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6252), _u6253), _u6254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6252), _u6253), _u6255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6252), _u6253), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6252), _u6254), _u6255))) )).
% 27.68/27.94 cnf(matrix-3864, plain, ( ~class_Orderings_Olinorder(_u6256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6257), _u6258)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6256), _u6258), _u6257) = _u6257) )).
% 27.68/27.94 cnf(matrix-3865, plain, ( ~class_Orderings_Olinorder(_u6259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6259), _u6260), _u6261)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6259), _u6260), _u6261) = _u6260) )).
% 27.68/27.94 cnf(matrix-3866, plain, ( ~class_Orderings_Olinorder(_u6262) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6262), _u6263), _u6264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6262), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6262), _u6265), _u6263)), _u6264)) )).
% 27.68/27.94 cnf(matrix-3867, plain, ( ~class_Orderings_Olinorder(_u6266) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6266), _u6267), _u6268)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6266), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6266), _u6267), _u6269)), _u6268)) )).
% 27.68/27.94 cnf(matrix-3868, plain, ( ~class_Orderings_Olinorder(_u6270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6270), _u6272), _u6273))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), _u6272)) )).
% 27.68/27.94 cnf(matrix-3869, plain, ( ~class_Orderings_Olinorder(_u6270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6270), _u6272), _u6273))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), _u6273)) )).
% 27.68/27.94 cnf(matrix-3870, plain, ( ~class_Orderings_Olinorder(_u6270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), _u6272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), _u6273)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6270), _u6271), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6270), _u6272), _u6273))) )).
% 27.68/27.94 cnf(matrix-3871, plain, ( ~class_Orderings_Olinorder(_u6274) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6274), _u6275), _u6276)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6274), _u6275), _u6276) = _u6275) )).
% 27.68/27.94 cnf(matrix-3872, plain, ( ~class_Orderings_Olinorder(_u6274) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6274), _u6275), _u6276) != _u6275) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6274), _u6275), _u6276)) )).
% 27.68/27.94 cnf(matrix-3873, plain, ( ~class_Orderings_Olinorder(_u6277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6277), _u6278), _u6279)), _u6279)) )).
% 27.68/27.94 cnf(matrix-3874, plain, ( ~class_Orderings_Olinorder(_u6280) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6280), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6280), _u6281), _u6282)), _u6281)) )).
% 27.68/27.94 cnf(matrix-3875, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6283), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-3876, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6284) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-3877, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6285) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6285), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6285), _u6286), _u6287)), _u6288) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6285), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6285), _u6286), _u6288)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6285), _u6287), _u6288))) )).
% 27.68/27.94 cnf(matrix-3878, plain, ( ~class_Orderings_Olinorder(_u6289) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6289), _u6290), _u6290) = _u6290) )).
% 27.68/27.94 cnf(matrix-3879, plain, ( ~class_Orderings_Olinorder(_u6291) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6291), _u6292), _u6293) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6291), _u6293), _u6292)) )).
% 27.68/27.94 cnf(matrix-3880, plain, ( ~class_Orderings_Olinorder(_u6294) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6294), _u6295), _u6296) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6294), _u6296), _u6295)) )).
% 27.68/27.94 cnf(matrix-3881, plain, ( ~class_Orderings_Olinorder(_u6297) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6297), _u6298), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6297), _u6298), _u6299)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6297), _u6298), _u6299)) )).
% 27.68/27.94 cnf(matrix-3882, plain, ( ~class_Orderings_Olinorder(_u6300) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6300), _u6301), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6300), _u6301), _u6302)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6300), _u6301), _u6302)) )).
% 27.68/27.94 cnf(matrix-3883, plain, ( ~class_Orderings_Olinorder(_u6303) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6303), _u6304), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6303), _u6305), _u6306)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6303), _u6305), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6303), _u6304), _u6306))) )).
% 27.68/27.94 cnf(matrix-3884, plain, ( ~class_Orderings_Olinorder(_u6307) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6307), _u6308), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6307), _u6309), _u6310)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6307), _u6309), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6307), _u6308), _u6310))) )).
% 27.68/27.94 cnf(matrix-3885, plain, ( ~class_Orderings_Olinorder(_u6311) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6311), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6311), _u6312), _u6313)), _u6314) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6311), _u6312), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6311), _u6313), _u6314))) )).
% 27.68/27.94 cnf(matrix-3886, plain, ( ~class_Orderings_Olinorder(_u6315) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6315), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6315), _u6316), _u6317)), _u6318) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6315), _u6316), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6315), _u6317), _u6318))) )).
% 27.68/27.94 cnf(matrix-3887, plain, ( ~class_Orderings_Olinorder(_u6319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6319), _u6320), _u6321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6319), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6319), _u6322), _u6320)), _u6321)) )).
% 27.68/27.94 cnf(matrix-3888, plain, ( ~class_Orderings_Olinorder(_u6323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6323), _u6324), _u6325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6323), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6323), _u6324), _u6326)), _u6325)) )).
% 27.68/27.94 cnf(matrix-3889, plain, ( ~class_Orderings_Olinorder(_u6327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6327), _u6329), _u6330))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), _u6329)) )).
% 27.68/27.94 cnf(matrix-3890, plain, ( ~class_Orderings_Olinorder(_u6327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6327), _u6329), _u6330))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), _u6330)) )).
% 27.68/27.94 cnf(matrix-3891, plain, ( ~class_Orderings_Olinorder(_u6327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), _u6329)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), _u6330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6327), _u6328), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6327), _u6329), _u6330))) )).
% 27.68/27.94 cnf(matrix-3892, plain, ( ~class_Orderings_Olinorder(_u6331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6331), _u6332), _u6333)), _u6334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), _u6332), _u6334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), _u6333), _u6334)) )).
% 27.68/27.94 cnf(matrix-3893, plain, ( ~class_Orderings_Olinorder(_u6331) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6331), _u6332), _u6333)), _u6334)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), _u6332), _u6334)) )).
% 27.68/27.94 cnf(matrix-3894, plain, ( ~class_Orderings_Olinorder(_u6331) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6331), _u6332), _u6333)), _u6334)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6331), _u6333), _u6334)) )).
% 27.68/27.94 cnf(matrix-3895, plain, ( ~class_Groups_Oordered__ab__group__add(_u6335) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6335), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6335), _u6336), _u6337)), _u6338) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6335), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6335), _u6336), _u6338)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6335), _u6337), _u6338))) )).
% 27.68/27.94 cnf(matrix-3896, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6339), _u6340)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6341), _u6340)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6339), _u6341)), _u6340)) )).
% 27.68/27.94 cnf(matrix-3897, plain, ( ( hAPP(c_Product__Type_Ofst(_u6342, _u6343), hAPP(hAPP(c_Product__Type_OPair(_u6342, _u6343), _u6344), _u6345)) = _u6344) )).
% 27.68/27.94 cnf(matrix-3898, plain, ( ( _u6348 = _u6350) | ( hAPP(c_Product__Type_Ofst(_u6346, _u6347), hAPP(hAPP(c_Product__Type_OPair(_u6346, _u6347), _u6348), _u6349)) != _u6350) )).
% 27.68/27.94 cnf(matrix-3899, plain, ( ( _u6355 != _u6357) | ( hAPP(c_Product__Type_Ofst(_u6359, _u6361), _u6355) = hAPP(c_Product__Type_Ofst(_u6359, _u6361), _u6357)) )).
% 27.68/27.94 cnf(matrix-3900, plain, ( ( _u6355 != _u6357) | ( hAPP(c_Product__Type_Osnd(_u6359, _u6361), _u6355) = hAPP(c_Product__Type_Osnd(_u6359, _u6361), _u6357)) )).
% 27.68/27.94 cnf(matrix-3901, plain, ( ( hAPP(c_Product__Type_Ofst(_u6360, _u6362), _u6356) != hAPP(c_Product__Type_Ofst(_u6360, _u6362), _u6358)) | ( hAPP(c_Product__Type_Osnd(_u6360, _u6362), _u6356) != hAPP(c_Product__Type_Osnd(_u6360, _u6362), _u6358)) | ( _u6356 = _u6358) )).
% 27.68/27.94 cnf(matrix-3902, plain, ( ( hAPP(c_Product__Type_Ofst(_u6363, _u6364), _u6365) != hAPP(c_Product__Type_Ofst(_u6363, _u6364), _u6366)) | ( hAPP(c_Product__Type_Osnd(_u6363, _u6364), _u6365) != hAPP(c_Product__Type_Osnd(_u6363, _u6364), _u6366)) | ( _u6365 = _u6366) )).
% 27.68/27.94 cnf(matrix-3903, plain, ( ( hAPP(c_Product__Type_Ofst(_u6367, _u6368), hAPP(c_Product__Type_Oapsnd(_u6369, _u6368, _u6367, _u6370), _u6371)) = hAPP(c_Product__Type_Ofst(_u6367, _u6369), _u6371)) )).
% 27.68/27.94 cnf(matrix-3904, plain, ( ( hAPP(c_Product__Type_Ofst(_u6372, _u6373), _u6374) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6372, _u6373, _u6372), c_COMBK(_u6372, _u6373)), _u6374)) )).
% 27.68/27.94 cnf(matrix-3905, plain, ( ~class_Int_Onumber(_u6375) | ~class_Orderings_Oord(_u6375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6375), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6376)), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6377))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6375), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6376)), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6377)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6376)) )).
% 27.68/27.94 cnf(matrix-3906, plain, ( ~class_Int_Onumber(_u6375) | ~class_Orderings_Oord(_u6375) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6375), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6376)), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6377))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6375), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6376)), hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6377)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6375), _u6377)) )).
% 27.68/27.94 cnf(matrix-3907, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6378, _u6379), hAPP(c_Product__Type_Ofst(_u6378, _u6379), _u6380)), hAPP(c_Product__Type_Osnd(_u6378, _u6379), _u6380)) = _u6380) )).
% 27.68/27.94 cnf(matrix-3908, plain, ( ( _u6381 = hAPP(hAPP(c_Product__Type_OPair(_u6382, _u6383), hAPP(c_Product__Type_Ofst(_u6382, _u6383), _u6381)), hAPP(c_Product__Type_Osnd(_u6382, _u6383), _u6381))) )).
% 27.68/27.94 cnf(matrix-3909, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6384, _u6385, _u6386), _u6387), _u6388) = hAPP(hAPP(_u6387, hAPP(c_Product__Type_Ofst(_u6384, _u6385), _u6388)), hAPP(c_Product__Type_Osnd(_u6384, _u6385), _u6388))) )).
% 27.68/27.94 cnf(matrix-3910, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6389), _u6390) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u6389, _u6390))) )).
% 27.68/27.94 cnf(matrix-3911, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6391, _u6392) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u6391, _u6392))) )).
% 27.68/27.94 cnf(matrix-3912, plain, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u6393, _u6394), _u6394, _u6395), hAPP(hAPP(c_COMBB(_u6396, tc_fun(_u6394, _u6395), tc_prod(_u6393, _u6394)), _u6397), hAPP(hAPP(c_COMBB(_u6393, _u6396, tc_prod(_u6393, _u6394)), _u6398), c_Product__Type_Ofst(_u6393, _u6394)))), c_Product__Type_Osnd(_u6393, _u6394)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u6393, _u6394, _u6395), hAPP(hAPP(c_COMBB(_u6396, tc_fun(_u6394, _u6395), _u6393), _u6397), _u6398))) )).
% 27.68/27.94 cnf(matrix-3913, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6399, _u6400, _u6401), _u6402), _u6403) = hAPP(hAPP(_u6402, hAPP(c_Product__Type_Ofst(_u6399, _u6400), _u6403)), hAPP(c_Product__Type_Osnd(_u6399, _u6400), _u6403))) )).
% 27.68/27.94 cnf(matrix-3914, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6404, _u6405, _u6406), _u6407), _u6408) = hAPP(hAPP(_u6407, hAPP(c_Product__Type_Ofst(_u6404, _u6405), _u6408)), hAPP(c_Product__Type_Osnd(_u6404, _u6405), _u6408))) )).
% 27.68/27.94 cnf(matrix-3915, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6409, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6409, tc_HOL_Obool)), _u6410), _u6411)), _u6410)) )).
% 27.68/27.94 cnf(matrix-3916, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6412, tc_HOL_Obool)), _u6413), _u6414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6412, tc_HOL_Obool)), _u6415), _u6416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6412, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6412, tc_HOL_Obool)), _u6413), _u6416)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6412, tc_HOL_Obool)), _u6414), _u6415))) )).
% 27.68/27.94 cnf(matrix-3917, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6417, tc_HOL_Obool)), _u6418), _u6419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6417, tc_HOL_Obool)), _u6419), _u6420)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6417, tc_HOL_Obool)), _u6419), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6417, tc_HOL_Obool)), _u6420), _u6418)) = _u6418) )).
% 27.68/27.94 cnf(matrix-3918, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6424, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6424, tc_HOL_Obool)), _u6426)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6424, tc_HOL_Obool)), _u6428))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6424, tc_HOL_Obool)), _u6428), _u6426)) )).
% 27.68/27.94 cnf(matrix-3919, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6425, tc_HOL_Obool)), _u6429), _u6427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6425, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6425, tc_HOL_Obool)), _u6427)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6425, tc_HOL_Obool)), _u6429))) )).
% 27.68/27.94 cnf(matrix-3920, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6430, tc_HOL_Obool)), _u6431), _u6432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6430, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6430, tc_HOL_Obool)), _u6432)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6430, tc_HOL_Obool)), _u6431))) )).
% 27.68/27.94 cnf(matrix-3921, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6433, tc_HOL_Obool)), _u6434), _u6434)) )).
% 27.68/27.94 cnf(matrix-3922, plain, ( ( _u6438 != _u6440) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6442, tc_HOL_Obool)), _u6438), _u6440)) )).
% 27.68/27.94 cnf(matrix-3923, plain, ( ( _u6438 != _u6440) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6442, tc_HOL_Obool)), _u6440), _u6438)) )).
% 27.68/27.94 cnf(matrix-3924, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6443, tc_HOL_Obool)), _u6439), _u6441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6443, tc_HOL_Obool)), _u6441), _u6439)) | ( _u6439 = _u6441) )).
% 27.68/27.94 cnf(matrix-3925, plain, ( ( _u6444 != _u6445) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6446, tc_HOL_Obool)), _u6444), _u6445)) )).
% 27.68/27.94 cnf(matrix-3926, plain, ( ( _u6447 != _u6448) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6449, tc_HOL_Obool)), _u6448), _u6447)) )).
% 27.68/27.94 cnf(matrix-3927, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6450, tc_HOL_Obool)), _u6451), _u6452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6450, tc_HOL_Obool)), _u6452), _u6453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6450, tc_HOL_Obool)), _u6451), _u6453)) )).
% 27.68/27.94 cnf(matrix-3928, plain, ( ( _u6454 != _u6455) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6456, tc_HOL_Obool)), _u6454), _u6455)) )).
% 27.68/27.94 cnf(matrix-3929, plain, ( ( _u6454 != _u6455) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6456, tc_HOL_Obool)), _u6455), _u6454)) )).
% 27.68/27.94 cnf(matrix-3930, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6460, tc_HOL_Obool)), _u6462), _u6464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6460, tc_HOL_Obool)), _u6462), _u6464)) )).
% 27.68/27.94 cnf(matrix-3931, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6460, tc_HOL_Obool)), _u6462), _u6464)) | ( _u6462 != _u6464) )).
% 27.68/27.94 cnf(matrix-3932, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6461, tc_HOL_Obool)), _u6463), _u6465)) | ( _u6463 = _u6465) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6461, tc_HOL_Obool)), _u6463), _u6465)) )).
% 27.68/27.94 cnf(matrix-3933, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6469, tc_HOL_Obool)), _u6471), _u6473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6469, tc_HOL_Obool)), _u6471), _u6473)) | ( _u6471 = _u6473) )).
% 27.68/27.94 cnf(matrix-3934, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6470, tc_HOL_Obool)), _u6472), _u6474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6470, tc_HOL_Obool)), _u6472), _u6474)) )).
% 27.68/27.94 cnf(matrix-3935, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6470, tc_HOL_Obool)), _u6472), _u6474)) | ( _u6472 != _u6474) )).
% 27.68/27.94 cnf(matrix-3936, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6475, tc_HOL_Obool)), _u6476), _u6477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6475, tc_HOL_Obool)), _u6476), _u6477)) )).
% 27.68/27.94 cnf(matrix-3937, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6478, tc_HOL_Obool)), _u6479), _u6480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6478, tc_HOL_Obool)), _u6480), _u6481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6478, tc_HOL_Obool)), _u6479), _u6481)) )).
% 27.68/27.94 cnf(matrix-3938, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6482, tc_HOL_Obool)), _u6483), _u6484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6482, tc_HOL_Obool)), _u6484), _u6485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6482, tc_HOL_Obool)), _u6483), _u6485)) )).
% 27.68/27.94 cnf(matrix-3939, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6486), hAPP(c_Nat_OSuc, _u6487)) = 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)), _u6487)), _u6486)) )).
% 27.68/27.94 cnf(matrix-3940, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6488)), _u6489) = 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), _u6488)), _u6489)) )).
% 27.68/27.94 cnf(matrix-3941, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6490), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6491)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6490), _u6491) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u6490, _u6491))) )).
% 27.68/27.94 cnf(matrix-3942, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6492)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6493)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6492), _u6493) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u6492, _u6493))) )).
% 27.68/27.94 cnf(matrix-3943, 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), _u6494))) | ( 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), _u6494)) = 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), _u6494)))) )).
% 27.68/27.94 cnf(matrix-3944, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6495)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6496), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6495), _u6496) = 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), _u6495), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6496))))) )).
% 27.68/27.94 cnf(matrix-3945, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6497)), hAPP(c_Nat_OSuc, _u6498)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6497))), 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)), _u6498))))) )).
% 27.68/27.94 cnf(matrix-3946, plain, ( ( c_Product__Type_Oprod_Oprod__size(_u6499, _u6500, _u6501, _u6502, _u6503) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u6501, hAPP(c_Product__Type_Ofst(_u6499, _u6500), _u6503))), hAPP(_u6502, hAPP(c_Product__Type_Osnd(_u6499, _u6500), _u6503)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.94 cnf(matrix-3947, plain, ( ~hBOOL(hAPP(hAPP(_u6504, _u6505), _u6506)) | hBOOL(hAPP(hAPP(_u6504, hAPP(c_Product__Type_Osnd(_u6507, _u6508), hAPP(hAPP(c_Product__Type_OPair(_u6507, _u6508), _u6506), _u6505))), hAPP(c_Product__Type_Ofst(_u6507, _u6508), hAPP(hAPP(c_Product__Type_OPair(_u6507, _u6508), _u6506), _u6505)))) )).
% 27.68/27.94 cnf(matrix-3948, plain, ( ~hBOOL(hAPP(_u6509, _u6510)) | ~hBOOL(hAPP(_u6511, _u6512)) | hBOOL(hAPP(_u6509, hAPP(c_Product__Type_Ofst(_u6513, _u6514), hAPP(hAPP(c_Product__Type_OPair(_u6513, _u6514), _u6510), _u6512)))) )).
% 27.68/27.94 cnf(matrix-3949, plain, ( ~hBOOL(hAPP(_u6509, _u6510)) | ~hBOOL(hAPP(_u6511, _u6512)) | hBOOL(hAPP(_u6511, hAPP(c_Product__Type_Osnd(_u6513, _u6514), hAPP(hAPP(c_Product__Type_OPair(_u6513, _u6514), _u6510), _u6512)))) )).
% 27.68/27.94 cnf(matrix-3950, plain, ( ~class_Orderings_Oord(_u6515) | ( c_Orderings_Oord__class_Omin(_u6515) = c_Orderings_Oord_Omin(_u6515, c_Orderings_Oord__class_Oless__eq(_u6515))) )).
% 27.68/27.94 cnf(matrix-3951, plain, ( ( c_Product__Type_Oprod_Oprod__rec(_u6516, _u6517, _u6518, _u6519, hAPP(hAPP(c_Product__Type_OPair(_u6516, _u6517), _u6520), _u6521)) = hAPP(hAPP(_u6519, _u6520), _u6521)) )).
% 27.68/27.94 cnf(matrix-3952, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6522, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6522, tc_HOL_Obool)), _u6523)) = _u6523) )).
% 27.68/27.94 cnf(matrix-3953, plain, ( ( _u6529 = _u6531) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6527, tc_HOL_Obool)), _u6529) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6527, tc_HOL_Obool)), _u6531)) )).
% 27.68/27.94 cnf(matrix-3954, plain, ( ( _u6530 != _u6532) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6528, tc_HOL_Obool)), _u6530) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6528, tc_HOL_Obool)), _u6532)) )).
% 27.68/27.94 cnf(matrix-3955, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6533, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6533, tc_HOL_Obool)), _u6534), _u6535)), _u6535) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6533, tc_HOL_Obool)), _u6534), _u6535)) )).
% 27.68/27.94 cnf(matrix-3956, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6536, tc_HOL_Obool)), _u6537), _u6538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6536, tc_HOL_Obool)), _u6538), _u6539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u6536, tc_HOL_Obool)), _u6537), _u6539)) )).
% 27.68/27.94 cnf(matrix-3957, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6540), _u6541) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u6540, _u6541))) )).
% 27.68/27.94 cnf(matrix-3958, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6545, _u6547), _u6549)) | ( _u6545 = 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), _u6549)), _u6547)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6549))) )).
% 27.68/27.94 cnf(matrix-3959, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6545, _u6547), _u6549)) | ( _u6547 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6549) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-3960, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6545, _u6547), _u6549)) | ( _u6547 = 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)), _u6547)) | 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), _u6549))) )).
% 27.68/27.94 cnf(matrix-3961, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6545, _u6547), _u6549)) | ( _u6547 = 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)), _u6547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6549)), _u6547)) )).
% 27.68/27.94 cnf(matrix-3962, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6545, _u6547), _u6549)) | ( _u6547 = 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)), _u6547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6547), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6549))) )).
% 27.68/27.94 cnf(matrix-3963, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6545, _u6547), _u6549)) | ( _u6547 = 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)), _u6547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6549)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.94 cnf(matrix-3964, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( _u6548 = 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)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6548), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.94 cnf(matrix-3965, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( _u6548 = 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), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6548)) )).
% 27.68/27.94 cnf(matrix-3966, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( _u6548 = 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), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6548), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.94 cnf(matrix-3967, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6550) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6548 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-3968, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6550) != 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)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6548), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.94 cnf(matrix-3969, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6550) != 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), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6548)) )).
% 27.68/27.94 cnf(matrix-3970, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6546, _u6548), _u6550)) | ( _u6546 != 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), _u6550)), _u6548)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6550) != 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), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), _u6548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6548), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6550)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.94 cnf(matrix-3971, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u6551)) | 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(_u6551), _u6552))), _u6551)) )).
% 27.68/27.94 cnf(matrix-3972, plain, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u6553), _u6554) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u6553, 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)))), _u6554)))) )).
% 27.68/27.94 cnf(matrix-3973, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6555)), hAPP(c_Nat_OSuc, _u6556)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6555))), 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, _u6556))), 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)), _u6556))))) )).
% 27.68/27.94 cnf(matrix-3974, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6557)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6558)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6558))), 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, _u6557))), 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), _u6557)), c_Int_Onat))))) )).
% 27.68/27.94 cnf(matrix-3975, plain, ( ( hAPP(c_Product__Type_Oapfst(_u6559, _u6560, _u6561, _u6562), hAPP(c_Product__Type_Oapsnd(_u6563, _u6561, _u6559, _u6564), _u6565)) = hAPP(hAPP(c_Product__Type_OPair(_u6560, _u6561), hAPP(_u6562, hAPP(c_Product__Type_Ofst(_u6559, _u6563), _u6565))), hAPP(_u6564, hAPP(c_Product__Type_Osnd(_u6559, _u6563), _u6565)))) )).
% 27.68/27.94 cnf(matrix-3976, plain, ( ~class_Orderings_Olinorder(_u6566) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6566), _u6567), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6566), _u6567), _u6568)) = _u6567) )).
% 27.68/27.94 cnf(matrix-3977, plain, ( ~class_Orderings_Olinorder(_u6569) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6569), _u6570), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6569), _u6570), _u6571)) = _u6570) )).
% 27.68/27.94 cnf(matrix-3978, plain, ( ~class_Orderings_Olinorder(_u6572) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6572), _u6573), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6572), _u6574), _u6575)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6572), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6572), _u6573), _u6574)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6572), _u6573), _u6575))) )).
% 27.68/27.94 cnf(matrix-3979, plain, ( ~class_Orderings_Olinorder(_u6576) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6576), _u6577), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6576), _u6578), _u6579)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6576), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6576), _u6577), _u6578)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6576), _u6577), _u6579))) )).
% 27.68/27.94 cnf(matrix-3980, plain, ( ~class_Orderings_Olinorder(_u6580) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6580), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6580), _u6581), _u6582)), _u6583) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6580), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6580), _u6581), _u6583)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6580), _u6582), _u6583))) )).
% 27.68/27.94 cnf(matrix-3981, plain, ( ~class_Orderings_Olinorder(_u6584) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6584), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6584), _u6585), _u6586)), _u6587) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6584), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6584), _u6585), _u6587)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6584), _u6586), _u6587))) )).
% 27.68/27.94 cnf(matrix-3982, plain, ( ~class_Orderings_Olinorder(_u6588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6588), _u6589), _u6590)), _u6591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), _u6589), _u6591)) )).
% 27.68/27.94 cnf(matrix-3983, plain, ( ~class_Orderings_Olinorder(_u6588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6588), _u6589), _u6590)), _u6591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), _u6590), _u6591)) )).
% 27.68/27.94 cnf(matrix-3984, plain, ( ~class_Orderings_Olinorder(_u6588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), _u6589), _u6591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), _u6590), _u6591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6588), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6588), _u6589), _u6590)), _u6591)) )).
% 27.68/27.94 cnf(matrix-3985, plain, ( ~class_Orderings_Olinorder(_u6592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6592), _u6594), _u6595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), _u6594)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), _u6595)) )).
% 27.68/27.94 cnf(matrix-3986, plain, ( ~class_Orderings_Olinorder(_u6592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6592), _u6594), _u6595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), _u6594)) )).
% 27.68/27.94 cnf(matrix-3987, plain, ( ~class_Orderings_Olinorder(_u6592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6592), _u6594), _u6595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6592), _u6593), _u6595)) )).
% 27.68/27.94 cnf(matrix-3988, plain, ( ~class_Orderings_Olinorder(_u6596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6596), _u6597), _u6598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6596), _u6597), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6596), _u6598), _u6599))) )).
% 27.68/27.94 cnf(matrix-3989, plain, ( ~class_Orderings_Olinorder(_u6600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6600), _u6601), _u6602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6600), _u6601), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6600), _u6603), _u6602))) )).
% 27.68/27.94 cnf(matrix-3990, plain, ( ~class_Groups_Oordered__ab__group__add(_u6604) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6604), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6604), _u6605), _u6606)), _u6607) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6604), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6604), _u6605), _u6607)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6604), _u6606), _u6607))) )).
% 27.68/27.94 cnf(matrix-3991, plain, ( ~class_Orderings_Olinorder(_u6608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6608), _u6610), _u6611))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), _u6610)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), _u6611)) )).
% 27.68/27.94 cnf(matrix-3992, plain, ( ~class_Orderings_Olinorder(_u6608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6608), _u6610), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), _u6610)) )).
% 27.68/27.94 cnf(matrix-3993, plain, ( ~class_Orderings_Olinorder(_u6608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6608), _u6610), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6608), _u6609), _u6611)) )).
% 27.68/27.94 cnf(matrix-3994, plain, ( ~class_Orderings_Olinorder(_u6612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6612), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6612), _u6613), _u6614)), _u6615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6612), _u6613), _u6615)) )).
% 27.68/27.94 cnf(matrix-3995, plain, ( ~class_Orderings_Olinorder(_u6612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6612), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6612), _u6613), _u6614)), _u6615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6612), _u6614), _u6615)) )).
% 27.68/27.94 cnf(matrix-3996, plain, ( ~class_Orderings_Olinorder(_u6616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6616), _u6617), _u6618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6616), _u6619), _u6620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6616), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6616), _u6617), _u6619)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6616), _u6618), _u6620))) )).
% 27.68/27.94 cnf(matrix-3997, plain, ( ~class_Orderings_Olinorder(_u6621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), _u6622), _u6623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), _u6624), _u6623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6621), _u6622), _u6624)), _u6623)) )).
% 27.68/27.94 cnf(matrix-3998, plain, ( ~class_Orderings_Olinorder(_u6625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6625), _u6626), _u6627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6625), _u6628), _u6627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6625), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6625), _u6626), _u6628)), _u6627)) )).
% 27.68/27.94 cnf(matrix-3999, plain, ( ~class_Orderings_Olinorder(_u6629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6629), _u6630), _u6631)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6629), _u6631), _u6630) = _u6631) )).
% 27.68/27.94 cnf(matrix-4000, plain, ( ~class_Orderings_Olinorder(_u6632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6632), _u6633), _u6634)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6632), _u6633), _u6634) = _u6634) )).
% 27.68/27.94 cnf(matrix-4001, plain, ( ~class_Orderings_Olinorder(_u6635) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6635), _u6636), _u6637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6635), _u6636), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6635), _u6638), _u6637))) )).
% 27.68/27.94 cnf(matrix-4002, plain, ( ~class_Orderings_Olinorder(_u6639) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6639), _u6640), _u6641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6639), _u6640), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6639), _u6641), _u6642))) )).
% 27.68/27.94 cnf(matrix-4003, plain, ( ~class_Orderings_Olinorder(_u6643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6643), _u6644), _u6645)), _u6646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), _u6644), _u6646)) )).
% 27.68/27.94 cnf(matrix-4004, plain, ( ~class_Orderings_Olinorder(_u6643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6643), _u6644), _u6645)), _u6646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), _u6645), _u6646)) )).
% 27.68/27.94 cnf(matrix-4005, plain, ( ~class_Orderings_Olinorder(_u6643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), _u6644), _u6646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), _u6645), _u6646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6643), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6643), _u6644), _u6645)), _u6646)) )).
% 27.68/27.94 cnf(matrix-4006, plain, ( ~class_Orderings_Olinorder(_u6647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6647), _u6648), _u6649)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6647), _u6648), _u6649) = _u6649) )).
% 27.68/27.94 cnf(matrix-4007, plain, ( ~class_Orderings_Olinorder(_u6647) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6647), _u6648), _u6649) != _u6649) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6647), _u6648), _u6649)) )).
% 27.68/27.94 cnf(matrix-4008, plain, ( ~class_Orderings_Olinorder(_u6650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6650), _u6651), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6650), _u6652), _u6651))) )).
% 27.68/27.94 cnf(matrix-4009, plain, ( ~class_Orderings_Olinorder(_u6653) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6653), _u6654), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6653), _u6654), _u6655))) )).
% 27.68/27.94 cnf(matrix-4010, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6656), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6656) )).
% 27.68/27.94 cnf(matrix-4011, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6657) = _u6657) )).
% 27.68/27.94 cnf(matrix-4012, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6658) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6658), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6658), _u6659), _u6660)), _u6661) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6658), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6658), _u6659), _u6661)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6658), _u6660), _u6661))) )).
% 27.68/27.94 cnf(matrix-4013, plain, ( ~class_Orderings_Olinorder(_u6662) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6662), _u6663), _u6663) = _u6663) )).
% 27.68/27.94 cnf(matrix-4014, plain, ( ~class_Orderings_Olinorder(_u6664) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6664), _u6665), _u6666) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6664), _u6666), _u6665)) )).
% 27.68/27.94 cnf(matrix-4015, plain, ( ~class_Orderings_Olinorder(_u6667) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6667), _u6668), _u6669) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6667), _u6669), _u6668)) )).
% 27.68/27.94 cnf(matrix-4016, plain, ( ~class_Orderings_Olinorder(_u6670) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6670), _u6671), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6670), _u6671), _u6672)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6670), _u6671), _u6672)) )).
% 27.68/27.94 cnf(matrix-4017, plain, ( ~class_Orderings_Olinorder(_u6673) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6673), _u6674), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6673), _u6674), _u6675)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6673), _u6674), _u6675)) )).
% 27.68/27.94 cnf(matrix-4018, plain, ( ~class_Orderings_Olinorder(_u6676) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6676), _u6677), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6676), _u6678), _u6679)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6676), _u6678), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6676), _u6677), _u6679))) )).
% 27.68/27.94 cnf(matrix-4019, plain, ( ~class_Orderings_Olinorder(_u6680) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6680), _u6681), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6680), _u6682), _u6683)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6680), _u6682), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6680), _u6681), _u6683))) )).
% 27.68/27.94 cnf(matrix-4020, plain, ( ~class_Orderings_Olinorder(_u6684) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6684), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6684), _u6685), _u6686)), _u6687) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6684), _u6685), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6684), _u6686), _u6687))) )).
% 27.68/27.94 cnf(matrix-4021, plain, ( ~class_Orderings_Olinorder(_u6688) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6688), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6688), _u6689), _u6690)), _u6691) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6688), _u6689), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6688), _u6690), _u6691))) )).
% 27.68/27.94 cnf(matrix-4022, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6692)), hAPP(c_Nat_OSuc, _u6693)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6692), _u6693))) )).
% 27.68/27.94 cnf(matrix-4023, plain, ( ( hAPP(c_Product__Type_Oapfst(_u6694, _u6695, _u6696, _u6697), hAPP(hAPP(c_Product__Type_OPair(_u6694, _u6696), _u6698), _u6699)) = hAPP(hAPP(c_Product__Type_OPair(_u6695, _u6696), hAPP(_u6697, _u6698)), _u6699)) )).
% 27.68/27.94 cnf(matrix-4024, plain, ( ( hAPP(c_Product__Type_Ofst(_u6700, _u6701), hAPP(c_Product__Type_Oapfst(_u6702, _u6700, _u6701, _u6703), _u6704)) = hAPP(_u6703, hAPP(c_Product__Type_Ofst(_u6702, _u6701), _u6704))) )).
% 27.68/27.94 cnf(matrix-4025, plain, ( ( hAPP(c_Product__Type_Oapfst(_u6711, _u6713, _u6715, _u6717), _u6719) != hAPP(c_Product__Type_Oapfst(_u6711, _u6713, _u6715, _u6721), _u6719)) | ( hAPP(_u6717, hAPP(c_Product__Type_Ofst(_u6711, _u6715), _u6719)) = hAPP(_u6721, hAPP(c_Product__Type_Ofst(_u6711, _u6715), _u6719))) )).
% 27.68/27.94 cnf(matrix-4026, plain, ( ( hAPP(_u6718, hAPP(c_Product__Type_Ofst(_u6712, _u6716), _u6720)) != hAPP(_u6722, hAPP(c_Product__Type_Ofst(_u6712, _u6716), _u6720))) | ( hAPP(c_Product__Type_Oapfst(_u6712, _u6714, _u6716, _u6718), _u6720) = hAPP(c_Product__Type_Oapfst(_u6712, _u6714, _u6716, _u6722), _u6720)) )).
% 27.68/27.94 cnf(matrix-4027, plain, ( ( hAPP(c_Product__Type_Osnd(_u6723, _u6724), hAPP(c_Product__Type_Oapfst(_u6725, _u6723, _u6724, _u6726), _u6727)) = hAPP(c_Product__Type_Osnd(_u6725, _u6724), _u6727)) )).
% 27.68/27.94 cnf(matrix-4028, plain, ( ~class_Int_Onumber(_u6728) | ~class_Orderings_Oord(_u6728) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6728), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6729)), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6730))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6728), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6729)), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6730)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6730)) )).
% 27.68/27.94 cnf(matrix-4029, plain, ( ~class_Int_Onumber(_u6728) | ~class_Orderings_Oord(_u6728) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6728), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6729)), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6730))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6728), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6729)), hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6730)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6728), _u6729)) )).
% 27.68/27.94 cnf(matrix-4030, plain, ( ~class_Orderings_Olinorder(_u6731) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6731), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6731), _u6732), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6731), _u6733), _u6734))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6731), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6731), _u6732), _u6733)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6731), _u6732), _u6734)))) )).
% 27.68/27.94 cnf(matrix-4031, plain, ( ~class_Orderings_Olinorder(_u6735) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6735), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6735), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6735), _u6736), _u6737)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6735), _u6736), _u6738))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6735), _u6736), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6735), _u6737), _u6738)))) )).
% 27.68/27.94 cnf(matrix-4032, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6739) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6739), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6739), _u6740), _u6741)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6739), hAPP(c_Groups_Ouminus__class_Ouminus(_u6739), _u6740)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6739), _u6741))) )).
% 27.68/27.94 cnf(matrix-4033, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6742) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6742), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6742), _u6743), _u6744)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6742), hAPP(c_Groups_Ouminus__class_Ouminus(_u6742), _u6743)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6742), _u6744))) )).
% 27.68/27.94 cnf(matrix-4034, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6745), _u6746)), _u6746) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6745), _u6746)) )).
% 27.68/27.94 cnf(matrix-4035, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u6747, _u6748, _u6749, _u6750), hAPP(c_Product__Type_Oapfst(_u6751, _u6749, _u6747, _u6752), _u6753)) = hAPP(c_Product__Type_Oapfst(_u6751, _u6749, _u6748, _u6752), hAPP(c_Product__Type_Oapsnd(_u6747, _u6748, _u6751, _u6750), _u6753))) )).
% 27.68/27.94 cnf(matrix-4036, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6754), hAPP(c_Nat_OSuc, _u6755)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6755), 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)), _u6755)), _u6754)) )).
% 27.68/27.94 cnf(matrix-4037, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6756)), _u6757) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6756), 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), _u6756)), _u6757)) )).
% 27.68/27.94 cnf(matrix-4038, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u6758, _u6759, _u6760, _u6761), hAPP(c_Product__Type_Oapfst(_u6762, _u6760, _u6758, _u6763), _u6764)) = hAPP(hAPP(c_Product__Type_OPair(_u6760, _u6759), hAPP(_u6763, hAPP(c_Product__Type_Ofst(_u6762, _u6758), _u6764))), hAPP(_u6761, hAPP(c_Product__Type_Osnd(_u6762, _u6758), _u6764)))) )).
% 27.68/27.94 cnf(matrix-4039, plain, ( ~class_Orderings_Olinorder(_u6765) | ( c_Orderings_Oord_Omin(_u6765, hAPP(c_COMBC(_u6765, _u6765, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u6765))) = c_Orderings_Oord__class_Omax(_u6765)) )).
% 27.68/27.94 cnf(matrix-4040, plain, ( ~class_Orderings_Oord(_u6766) | ( c_Orderings_Oord__class_Omax(_u6766) = c_Orderings_Oord_Omax(_u6766, c_Orderings_Oord__class_Oless__eq(_u6766))) )).
% 27.68/27.94 cnf(matrix-4041, plain, ( ( _u6767 = 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, _u6767)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u6767))) )).
% 27.68/27.94 cnf(matrix-4042, plain, ( ( c_Nitpick_Ozero__frac(_u6768) = c_Nitpick_OAbs__Frac(_u6768, 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)))) )).
% 27.68/27.94 cnf(matrix-4043, plain, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u6769, _u6770, _u6771, _u6772) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u6769, _u6770), _u6771), _u6772))) )).
% 27.68/27.94 cnf(matrix-4044, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u6775) != hAPP(c_Code__Numeral_Onat__of, _u6777)) | ( _u6775 = _u6777) )).
% 27.68/27.94 cnf(matrix-4045, plain, ( ( _u6776 != _u6778) | ( hAPP(c_Code__Numeral_Onat__of, _u6776) = hAPP(c_Code__Numeral_Onat__of, _u6778)) )).
% 27.68/27.94 cnf(matrix-4046, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u6781) != hAPP(c_Code__Numeral_Onat__of, _u6783)) | ( _u6781 = _u6783) )).
% 27.68/27.94 cnf(matrix-4047, plain, ( ( _u6782 != _u6784) | ( hAPP(c_Code__Numeral_Onat__of, _u6782) = hAPP(c_Code__Numeral_Onat__of, _u6784)) )).
% 27.68/27.94 cnf(matrix-4048, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u6785)) = _u6785) )).
% 27.68/27.94 cnf(matrix-4049, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u6786)) = _u6786) )).
% 27.68/27.94 cnf(matrix-4050, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u6787)) = _u6787) )).
% 27.68/27.94 cnf(matrix-4051, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6790), _u6792)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6790)), hAPP(c_Code__Numeral_Onat__of, _u6792))) )).
% 27.68/27.94 cnf(matrix-4052, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6791)), hAPP(c_Code__Numeral_Onat__of, _u6793))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6791), _u6793)) )).
% 27.68/27.94 cnf(matrix-4053, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u6794)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6794)) )).
% 27.68/27.94 cnf(matrix-4054, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6797), _u6799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6797)), hAPP(c_Code__Numeral_Onat__of, _u6799))) )).
% 27.68/27.94 cnf(matrix-4055, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6798)), hAPP(c_Code__Numeral_Onat__of, _u6800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6798), _u6800)) )).
% 27.68/27.94 cnf(matrix-4056, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u6801) = c_Code__Numeral_Onat__of__aux(_u6801, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.94 cnf(matrix-4057, plain, ( ( c_Code__Numeral_Onat__of__aux(_u6802, _u6803) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6802)), _u6803)) )).
% 27.68/27.94 cnf(matrix-4058, plain, ( ~class_Orderings_Olinorder(_u6804) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6804), _u6805), _u6805) = _u6805) )).
% 27.68/27.94 cnf(matrix-4059, plain, ( ~class_Orderings_Olinorder(_u6806) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6806), _u6807), _u6807) = _u6807) )).
% 27.68/27.94 cnf(matrix-4060, plain, ( ~class_Orderings_Olinorder(_u6808) | ( c_Orderings_Oord_Omax(_u6808, hAPP(c_COMBC(_u6808, _u6808, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u6808))) = c_Orderings_Oord__class_Omin(_u6808)) )).
% 27.68/27.94 cnf(matrix-4061, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u6809) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u6809)))) )).
% 27.68/27.94 cnf(matrix-4062, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6810), _u6811) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6810)), hAPP(c_Code__Numeral_Onat__of, _u6811)))) )).
% 27.68/27.94 cnf(matrix-4063, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u6812), _u6813) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6812)), hAPP(c_Code__Numeral_Onat__of, _u6813)))) )).
% 27.68/27.94 cnf(matrix-4064, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u6814), _u6815) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6814)), hAPP(c_Code__Numeral_Onat__of, _u6815)))) )).
% 27.68/27.94 cnf(matrix-4065, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u6816), _u6817) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6816)), hAPP(c_Code__Numeral_Onat__of, _u6817)))) )).
% 27.68/27.94 cnf(matrix-4066, plain, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6818, _u6819) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u6818), hAPP(c_Code__Numeral_Onat__of, _u6819)))) )).
% 27.68/27.94 cnf(matrix-4067, plain, ( ( c_Nitpick_Oone__frac(_u6820) = c_Nitpick_OAbs__Frac(_u6820, 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)))) )).
% 27.68/27.94 cnf(matrix-4068, plain, ( ( c_Nitpick_Onumber__of__frac(_u6821, _u6822) = c_Nitpick_OAbs__Frac(_u6821, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6822), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 27.68/27.94 cnf(matrix-4069, plain, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u6823), _u6824), _u6825) = c_Nitpick_OAbs__Frac(_u6823, c_Nitpick_Onorm__frac(_u6824, _u6825))) )).
% 27.68/27.94 cnf(matrix-4070, plain, ( ( c_Sum__Type_Osum_Osum__case(_u6826, _u6827, _u6828, hAPP(hAPP(c_COMBB(tc_sum(_u6826, _u6828), _u6827, _u6826), _u6829), c_Sum__Type_OInl(_u6826, _u6828)), hAPP(hAPP(c_COMBB(tc_sum(_u6826, _u6828), _u6827, _u6828), _u6829), c_Sum__Type_OInr(_u6828, _u6826))) = _u6829) )).
% 27.68/27.94 cnf(matrix-4071, plain, ( ( _u6835 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u6837, _u6839, _u6835, _u6841), _u6843) = hAPP(c_Product__Type_OPair(_u6837, _u6839), _u6843)) )).
% 27.68/27.94 cnf(matrix-4072, plain, ( ( _u6836 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u6838, _u6840, _u6836, _u6842), _u6844) = hAPP(hAPP(c_Product__Type_Oscomp(_u6840, _u6838, _u6840, tc_prod(_u6838, _u6840)), hAPP(_u6842, _u6844)), c_Random_Oiterate(_u6838, _u6840, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6836), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u6842))) )).
% 27.68/27.94 cnf(matrix-4073, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u6845, _u6846, _u6847, _u6848), hAPP(hAPP(c_Product__Type_Oscomp(_u6845, _u6849, _u6850, tc_prod(_u6846, _u6847)), _u6851), _u6852)), _u6853) = hAPP(hAPP(c_Product__Type_Oscomp(_u6845, _u6849, _u6850, _u6848), _u6851), hAPP(hAPP(c_COMBC(_u6849, tc_fun(_u6846, tc_fun(_u6847, _u6848)), tc_fun(_u6850, _u6848)), hAPP(hAPP(c_COMBB(tc_fun(_u6850, tc_prod(_u6846, _u6847)), tc_fun(tc_fun(_u6846, tc_fun(_u6847, _u6848)), tc_fun(_u6850, _u6848)), _u6849), c_Product__Type_Oscomp(_u6850, _u6846, _u6847, _u6848)), _u6852)), _u6853))) )).
% 27.68/27.94 cnf(matrix-4074, plain, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u6854, _u6855, _u6856, hAPP(c_COMBK(_u6855, _u6854), _u6857), hAPP(c_COMBK(_u6855, _u6856), _u6857)), _u6858) = _u6857) )).
% 27.68/27.94 cnf(matrix-4075, plain, ( ( _u6859 != _u6860) | ( hAPP(c_Sum__Type_Osum_Osum__case(_u6861, _u6862, _u6863, _u6864, _u6865), _u6859) = hAPP(c_Sum__Type_Osum_Osum__case(_u6861, _u6862, _u6863, _u6864, _u6865), _u6860)) )).
% 27.68/27.94 cnf(matrix-4076, plain, ( ( c_Sum__Type_Osum_Osum__case(_u6866, _u6867, _u6868, _u6869, _u6870) != c_Sum__Type_Osum_Osum__case(_u6866, _u6867, _u6868, _u6871, _u6872)) | ( _u6869 = _u6871) )).
% 27.68/27.94 cnf(matrix-4077, plain, ( ( c_Sum__Type_Osum_Osum__case(_u6866, _u6867, _u6868, _u6869, _u6870) != c_Sum__Type_Osum_Osum__case(_u6866, _u6867, _u6868, _u6871, _u6872)) | ( _u6870 = _u6872) )).
% 27.68/27.94 cnf(matrix-4078, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u6873, _u6874, _u6875, tc_prod(_u6874, _u6875)), _u6876), c_Product__Type_OPair(_u6874, _u6875)) = _u6876) )).
% 27.68/27.94 cnf(matrix-4079, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u6877, _u6878, _u6877, _u6879), hAPP(c_Product__Type_OPair(_u6878, _u6877), _u6880)), _u6881) = hAPP(_u6881, _u6880)) )).
% 27.68/27.94 cnf(matrix-4080, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6882, _u6883, _u6884, _u6885), _u6886), _u6887), _u6888) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6883, _u6884, _u6885), _u6887), hAPP(_u6886, _u6888))) )).
% 27.68/27.94 cnf(matrix-4081, plain, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u6889, _u6890, _u6891, _u6892, _u6893), hAPP(c_Sum__Type_OInr(_u6891, _u6889), _u6894)) = hAPP(_u6893, _u6894)) )).
% 27.68/27.94 cnf(matrix-4082, plain, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u6895, _u6896, _u6897, _u6898, _u6899), hAPP(c_Sum__Type_OInl(_u6895, _u6897), _u6900)) = hAPP(_u6898, _u6900)) )).
% 27.68/27.94 cnf(matrix-4083, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6901, _u6902, _u6903, _u6904), _u6905), _u6906), _u6907) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6902, _u6903, _u6904), _u6906), hAPP(_u6905, _u6907))) )).
% 27.68/27.94 cnf(matrix-4084, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6908, _u6909, _u6910, _u6911), _u6912), _u6913), _u6914) = hAPP(hAPP(_u6913, hAPP(c_Product__Type_Ofst(_u6909, _u6910), hAPP(_u6912, _u6914))), hAPP(c_Product__Type_Osnd(_u6909, _u6910), hAPP(_u6912, _u6914)))) )).
% 27.68/27.94 cnf(matrix-4085, plain, ( ( c_Nitpick_Oplus__frac(_u6915, _u6916, _u6917) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u6915), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u6915), _u6916), hAPP(c_Nitpick_Odenom(_u6915), _u6917))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u6915), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u6915), tc_Int_Oint), c_Nitpick_Ofrac(_u6915)), 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(_u6915), _u6916))), 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(_u6915), _u6916))))), 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(_u6915), _u6917))), 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(_u6915), _u6917)))))), c_COMBI(tc_Int_Oint)))) )).
% 27.68/27.94 cnf(matrix-4086, plain, ( ( c_Product__Type_Ointernal__split(_u6918, _u6919, _u6920) = c_Product__Type_Oprod_Oprod__case(_u6918, _u6919, _u6920)) )).
% 27.68/27.94 cnf(matrix-4087, 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)) )).
% 27.68/27.94 cnf(matrix-4088, plain, ( ( _u6926 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u6928, _u6930, _u6932, _u6934), _u6926) = c_Lazy__Sequence_Oempty(_u6930)) )).
% 27.68/27.94 cnf(matrix-4089, plain, ( ( _u6927 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u6929, _u6931, _u6933, _u6935), _u6927) = c_Lazy__Sequence_Obind(_u6929, _u6931, hAPP(_u6933, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6927), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u6929, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6931)), _u6935), _u6927))) )).
% 27.68/27.94 cnf(matrix-4090, plain, ( ( _u6941 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u6943, _u6945, _u6947, _u6949), _u6941) = c_Lazy__Sequence_Ohit__bound(_u6945)) )).
% 27.68/27.94 cnf(matrix-4091, plain, ( ( _u6942 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u6944, _u6946, _u6948, _u6950), _u6942) = c_Lazy__Sequence_Ohb__bind(_u6944, _u6946, hAPP(_u6948, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6942), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u6944, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u6946))), _u6950), _u6942))) )).
% 27.68/27.94 cnf(matrix-4092, plain, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u6951, _u6952, _u6953), _u6954), hAPP(hAPP(c_Product__Type_OPair(_u6951, _u6952), _u6955), _u6956)) = hAPP(hAPP(_u6954, _u6955), _u6956)) )).
% 27.68/27.94 cnf(matrix-4093, plain, ( ( c_Nitpick_Otimes__frac(_u6957, _u6958, _u6959) = hAPP(hAPP(c_Nitpick_Ofrac(_u6957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6957), _u6958)), hAPP(c_Nitpick_Onum(_u6957), _u6959))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u6957), _u6958)), hAPP(c_Nitpick_Odenom(_u6957), _u6959)))) )).
% 27.68/27.94 cnf(matrix-4094, plain, ( ~class_Rings_Oinverse(_u6960) | ~class_Rings_Oring__1(_u6960) | ( c_Nitpick_Oof__frac(_u6961, _u6960, _u6962) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6960), hAPP(c_Int_Oring__1__class_Oof__int(_u6960), hAPP(c_Nitpick_Onum(_u6961), _u6962))), hAPP(c_Int_Oring__1__class_Oof__int(_u6960), hAPP(c_Nitpick_Odenom(_u6961), _u6962)))) )).
% 27.68/27.94 cnf(matrix-4095, plain, ( ( c_Nitpick_Oinverse__frac(_u6963, _u6964) = hAPP(hAPP(c_Nitpick_Ofrac(_u6963), hAPP(c_Nitpick_Odenom(_u6963), _u6964)), hAPP(c_Nitpick_Onum(_u6963), _u6964))) )).
% 27.68/27.94 cnf(matrix-4096, plain, ( ( c_Nitpick_Ouminus__frac(_u6965, _u6966) = c_Nitpick_OAbs__Frac(_u6965, 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(_u6965), _u6966))), hAPP(c_Nitpick_Odenom(_u6965), _u6966)))) )).
% 27.68/27.94 cnf(matrix-4097, plain, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u6967, _u6968, _u6969, _u6970, _u6971, _u6972, _u6973) = c_New__DSequence_Oneg__decr__bind(_u6967, _u6968, hAPP(hAPP(hAPP(_u6969, _u6971), _u6972), _u6973), hAPP(hAPP(c_COMBC(_u6967, 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(_u6968)))), hAPP(hAPP(c_COMBC(_u6967, 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(_u6968))))), hAPP(hAPP(c_COMBC(_u6967, 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(_u6968)))))), _u6970), _u6971)), _u6972)), _u6973))) )).
% 27.68/27.94 cnf(matrix-4098, plain, ( ~c_Nitpick_Oless__frac(_u6977, _u6979, _u6981) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6977), c_Nitpick_Oplus__frac(_u6977, _u6979, c_Nitpick_Ouminus__frac(_u6977, _u6981)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-4099, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6978), c_Nitpick_Oplus__frac(_u6978, _u6980, c_Nitpick_Ouminus__frac(_u6978, _u6982)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u6978, _u6980, _u6982) )).
% 27.68/27.94 cnf(matrix-4100, plain, ( ~c_Nitpick_Oless__eq__frac(_u6986, _u6988, _u6990) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6986), c_Nitpick_Oplus__frac(_u6986, _u6988, c_Nitpick_Ouminus__frac(_u6986, _u6990)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-4101, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6987), c_Nitpick_Oplus__frac(_u6987, _u6989, c_Nitpick_Ouminus__frac(_u6987, _u6991)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u6987, _u6989, _u6991) )).
% 27.68/27.94 cnf(matrix-4102, plain, ( ( c_New__Random__Sequence_Opos__decr__bind(_u6992, _u6993, _u6994, _u6995, _u6996, _u6997, _u6998) = c_New__DSequence_Opos__decr__bind(_u6992, _u6993, hAPP(hAPP(hAPP(_u6994, _u6996), _u6997), _u6998), hAPP(hAPP(c_COMBC(_u6992, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6993))), hAPP(hAPP(c_COMBC(_u6992, 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(_u6993)))), hAPP(hAPP(c_COMBC(_u6992, 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(_u6993))))), _u6995), _u6996)), _u6997)), _u6998))) )).
% 27.68/27.94 cnf(matrix-4103, plain, ( ( hAPP(c_New__DSequence_Oneg__bind(_u6999, _u7000, _u7001, _u7002), _u7003) = c_Lazy__Sequence_Ohb__bind(_u6999, _u7000, hAPP(_u7001, _u7003), hAPP(hAPP(c_COMBC(_u6999, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u7000))), _u7002), _u7003))) )).
% 27.68/27.94 cnf(matrix-4104, plain, ( ( hAPP(c_New__DSequence_Opos__empty(_u7004), _u7005) = c_Lazy__Sequence_Oempty(_u7004)) )).
% 27.68/27.94 cnf(matrix-4105, plain, ( ( c_New__Random__Sequence_Opos__empty(_u7006, _u7007, _u7008, _u7009) = c_New__DSequence_Opos__empty(_u7006)) )).
% 27.68/27.94 cnf(matrix-4106, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u7010, _u7011, _u7012, _u7013), _u7014), _u7015), _u7016) = c_New__DSequence_Oneg__bind(_u7010, _u7011, hAPP(hAPP(hAPP(_u7012, _u7014), _u7015), _u7016), hAPP(hAPP(c_COMBC(_u7010, 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(_u7011)))), hAPP(hAPP(c_COMBC(_u7010, 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(_u7011))))), hAPP(hAPP(c_COMBC(_u7010, 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(_u7011)))))), _u7013), _u7014)), _u7015)), _u7016))) )).
% 27.68/27.94 cnf(matrix-4107, plain, ( ( hAPP(c_New__DSequence_Opos__bind(_u7017, _u7018, _u7019, _u7020), _u7021) = c_Lazy__Sequence_Obind(_u7017, _u7018, hAPP(_u7019, _u7021), hAPP(hAPP(c_COMBC(_u7017, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u7018)), _u7020), _u7021))) )).
% 27.68/27.94 cnf(matrix-4108, plain, ( ~hBOOL(hAPP(hAPP(_u7022, _u7023), _u7024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7025, tc_fun(_u7026, tc_HOL_Obool))), _u7022), _u7027)) | hBOOL(hAPP(hAPP(_u7027, _u7023), _u7024)) )).
% 27.68/27.94 cnf(matrix-4109, plain, ( ~hBOOL(hAPP(hAPP(_u7030, _u7032), _u7033)) | hBOOL(hAPP(hAPP(_u7031, _u7032), _u7033)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7028, tc_fun(_u7029, tc_HOL_Obool))), _u7030), _u7031)) )).
% 27.68/27.94 cnf(matrix-4110, plain, ( ~hBOOL(hAPP(_u7034, _u7035)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7036, tc_HOL_Obool)), _u7034), _u7037)) | hBOOL(hAPP(_u7037, _u7035)) )).
% 27.68/27.94 cnf(matrix-4111, plain, ( ~hBOOL(hAPP(_u7039, _u7041)) | hBOOL(hAPP(_u7040, _u7041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7038, tc_HOL_Obool)), _u7039), _u7040)) )).
% 27.68/27.94 cnf(matrix-4112, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u7042, _u7043, _u7044, _u7045), _u7046), _u7047), _u7048) = c_New__DSequence_Opos__bind(_u7042, _u7043, hAPP(hAPP(hAPP(_u7044, _u7046), _u7047), _u7048), hAPP(hAPP(c_COMBC(_u7042, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u7043))), hAPP(hAPP(c_COMBC(_u7042, 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(_u7043)))), hAPP(hAPP(c_COMBC(_u7042, 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(_u7043))))), _u7045), _u7046)), _u7047)), _u7048))) )).
% 27.68/27.94 cnf(matrix-4113, plain, ( ( c_HOL_OThe(tc_prod(_u7049, _u7050), hAPP(c_Product__Type_Oprod_Oprod__case(_u7049, _u7050, tc_HOL_Obool), _u7051)) = c_HOL_OThe(tc_prod(_u7049, _u7050), hAPP(hAPP(c_COMBS(tc_prod(_u7049, _u7050), _u7050, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u7049, tc_fun(_u7050, tc_HOL_Obool), tc_prod(_u7049, _u7050)), _u7051), c_Product__Type_Ofst(_u7049, _u7050))), c_Product__Type_Osnd(_u7049, _u7050)))) )).
% 27.68/27.94 cnf(matrix-4114, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u7056), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u7058, _u7060, _u7056, _u7062) = 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(_u7058)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u7058))) )).
% 27.68/27.94 cnf(matrix-4115, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u7057), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u7059, _u7061, _u7057, _u7063) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u7059, 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(_u7059)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u7061, _u7063)), 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(_u7059)))), 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(_u7059)))), 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(_u7059)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u7059, 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(_u7059)))), 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(_u7059)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u7059, _u7061, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u7057), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u7063))), 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(_u7059)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u7059))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u7059)))), 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(_u7059)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u7059, 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(_u7059)))), 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(_u7059)))), 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(_u7059))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u7059)))), 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(_u7059)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u7059)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u7059))))), tc_prod(_u7059, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u7059)), hAPP(hAPP(c_COMBB(_u7059, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u7059)))), tc_prod(_u7059, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u7059)), c_Product__Type_Ofst(_u7059, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 27.68/27.94 cnf(matrix-4116, plain, ( ~hBOOL(hAPP(hAPP(_u7066, hAPP(c_Product__Type_Osnd(_u7067, _u7068), _u7069)), hAPP(c_Product__Type_Ofst(_u7067, _u7068), _u7069))) | hBOOL(hAPP(_u7070, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7067, _u7068, _u7072), _u7071), _u7069))) | hBOOL(hAPP(hAPP(_u7066, skolem101(_u7072, _u7071, _u7070, _u7069, _u7068, _u7067, _u7066)), skolem100(_u7072, _u7071, _u7070, _u7069, _u7068, _u7067, _u7066))) )).
% 27.68/27.94 cnf(matrix-4117, plain, ( ~hBOOL(hAPP(hAPP(_u7066, hAPP(c_Product__Type_Osnd(_u7067, _u7068), _u7069)), hAPP(c_Product__Type_Ofst(_u7067, _u7068), _u7069))) | hBOOL(hAPP(_u7070, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7067, _u7068, _u7072), _u7071), _u7069))) | ~hBOOL(hAPP(_u7070, hAPP(hAPP(_u7071, skolem100(_u7072, _u7071, _u7070, _u7069, _u7068, _u7067, _u7066)), skolem101(_u7072, _u7071, _u7070, _u7069, _u7068, _u7067, _u7066)))) )).
% 27.68/27.94 cnf(matrix-4118, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7075), _u7077)) | ( c_Quickcheck_Obeyond(_u7075, _u7077) = _u7077) )).
% 27.68/27.94 cnf(matrix-4119, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7076), _u7078)) | ( c_Quickcheck_Obeyond(_u7076, _u7078) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 27.68/27.94 cnf(matrix-4120, plain, ( ( c_Quickcheck_Obeyond(_u7079, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 27.68/27.94 cnf(matrix-4121, plain, ( ( c_HOL_OThe(tc_prod(_u7080, _u7081), hAPP(c_Product__Type_Oprod_Oprod__case(_u7080, _u7081, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u7080, tc_fun(_u7081, tc_HOL_Obool), tc_fun(_u7081, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u7081, tc_HOL_Obool), tc_fun(_u7081, tc_HOL_Obool)), _u7080), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u7081)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7080), c_fconj), hAPP(c_fequal, _u7082)))), hAPP(c_fequal, _u7083)))) = hAPP(hAPP(c_Product__Type_OPair(_u7080, _u7081), _u7082), _u7083)) )).
% 27.68/27.94 cnf(matrix-4122, plain, ( ( c_HOL_OThe(tc_prod(_u7084, _u7085), _u7086) = c_HOL_OThe(tc_prod(_u7084, _u7085), hAPP(c_Product__Type_Oprod_Oprod__case(_u7084, _u7085, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u7085, tc_prod(_u7084, _u7085)), tc_fun(_u7085, tc_HOL_Obool), _u7084), hAPP(c_COMBB(tc_prod(_u7084, _u7085), tc_HOL_Obool, _u7085), _u7086)), c_Product__Type_OPair(_u7084, _u7085))))) )).
% 27.68/27.94 cnf(matrix-4123, plain, ( ( c_Divides_Odivmod__nat(_u7087, _u7088) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u7087, _u7088))) )).
% 27.68/27.94 cnf(matrix-4124, plain, ( ( c_Random__Sequence_Oempty(_u7089, _u7090, _u7091) = 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(_u7089)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u7089))) )).
% 27.68/27.94 cnf(matrix-4125, plain, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u7092), _u7093), _u7094), _u7095) = 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(_u7092)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u7092), _u7093))) )).
% 27.68/27.94 cnf(matrix-4126, plain, ( ( c_HOL_OThe(_u7096, hAPP(c_fequal, _u7097)) = _u7097) )).
% 27.68/27.94 cnf(matrix-4127, plain, ( ( c_HOL_OThe(_u7098, hAPP(hAPP(c_COMBC(_u7098, _u7098, tc_HOL_Obool), c_fequal), _u7099)) = _u7099) )).
% 27.68/27.94 cnf(matrix-4128, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u7100, _u7101, _u7102, _u7103), _u7104), _u7105) = hAPP(_u7103, hAPP(hAPP(c_Product__Type_OPair(_u7100, _u7101), _u7104), _u7105))) )).
% 27.68/27.94 cnf(matrix-4129, plain, ( ~hBOOL(hAPP(_u7106, hAPP(hAPP(c_Product__Type_OPair(_u7107, _u7108), _u7109), _u7110))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u7107, _u7108, tc_HOL_Obool, _u7106), _u7109), _u7110)) )).
% 27.68/27.94 cnf(matrix-4130, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u7111, _u7112, tc_HOL_Obool, _u7113), _u7114), _u7115)) | hBOOL(hAPP(_u7113, hAPP(hAPP(c_Product__Type_OPair(_u7111, _u7112), _u7114), _u7115))) )).
% 27.68/27.94 cnf(matrix-4131, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u7116, _u7117, tc_HOL_Obool, _u7118), _u7119), _u7120)) | hBOOL(hAPP(_u7118, hAPP(hAPP(c_Product__Type_OPair(_u7116, _u7117), _u7119), _u7120))) )).
% 27.68/27.94 cnf(matrix-4132, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u7121, _u7122, _u7123, _u7124), _u7125), _u7126) = hAPP(_u7124, hAPP(hAPP(c_Product__Type_OPair(_u7121, _u7122), _u7125), _u7126))) )).
% 27.68/27.94 cnf(matrix-4133, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u7127, _u7128, _u7129), c_Product__Type_Ocurry(_u7127, _u7128, _u7129, _u7130)) = _u7130) )).
% 27.68/27.94 cnf(matrix-4134, plain, ( ( c_Product__Type_Ocurry(_u7131, _u7132, _u7133, hAPP(c_Product__Type_Oprod_Oprod__case(_u7131, _u7132, _u7133), _u7134)) = _u7134) )).
% 27.68/27.94 cnf(matrix-4135, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u7135), _u7136)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u7135), _u7137))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u7135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7136), _u7137)) )).
% 27.68/27.94 cnf(matrix-4136, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7138)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7139), _u7138)), _u7138)) | ( _u7139 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4137, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7138)) | ( _u7139 != 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), _u7139), _u7138)), _u7138)) )).
% 27.68/27.94 cnf(matrix-4138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7140)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7140), _u7141)), _u7140)) | ( _u7141 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4139, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7140)) | ( _u7141 != 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), _u7140), _u7141)), _u7140)) )).
% 27.68/27.94 cnf(matrix-4140, plain, ( ( _u7142 = 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), _u7142), _u7143)), _u7142)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7143) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.94 cnf(matrix-4141, plain, ( ( _u7142 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7143) != 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), _u7142), _u7143)), _u7142)) )).
% 27.68/27.94 cnf(matrix-4142, 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), _u7144)), 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))), _u7145))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7146))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7146)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7144), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7144), 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), _u7146), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u7145))))) )).
% 27.68/27.94 cnf(matrix-4143, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7147), _u7147)) )).
% 27.68/27.94 cnf(matrix-4144, plain, ( ~class_Rings_Ocomm__semiring__1(_u7148) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7148), _u7149), c_Groups_Ozero__class_Ozero(_u7148))) )).
% 27.68/27.94 cnf(matrix-4145, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7150)) )).
% 27.68/27.94 cnf(matrix-4146, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7151) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7151), hAPP(c_Groups_Oabs__class_Oabs(_u7151), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7152, _u7151), _u7153), _u7154))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7152, _u7151), hAPP(hAPP(c_COMBB(_u7151, _u7151, _u7152), c_Groups_Oabs__class_Oabs(_u7151)), _u7153)), _u7154))) )).
% 27.68/27.94 cnf(matrix-4147, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7155), c_Groups_Ozero__class_Ozero(_u7155)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7156, _u7155), hAPP(hAPP(c_COMBB(_u7155, _u7155, _u7156), c_Groups_Oabs__class_Oabs(_u7155)), _u7157)), _u7158))) )).
% 27.68/27.94 cnf(matrix-4148, plain, ( ~class_Divides_Osemiring__div(_u7159) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), _u7160), _u7161)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), _u7160), _u7162)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7159), _u7161), _u7160)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7159), _u7162), _u7160))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), _u7161), _u7162)) )).
% 27.68/27.94 cnf(matrix-4149, plain, ( ~class_Divides_Osemiring__div(_u7159) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), _u7160), _u7161)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), _u7160), _u7162)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), _u7161), _u7162)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7159), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7159), _u7161), _u7160)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7159), _u7162), _u7160))) )).
% 27.68/27.94 cnf(matrix-4150, plain, ( ~class_Rings_Ocomm__semiring__1(_u7163) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7163), c_Groups_Ozero__class_Ozero(_u7163)), _u7164)) | ( _u7164 = c_Groups_Ozero__class_Ozero(_u7163)) )).
% 27.68/27.94 cnf(matrix-4151, plain, ( ~class_Rings_Ocomm__semiring__1(_u7165) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7165), _u7166), _u7167)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7165), _u7166), _u7168)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7165), _u7166), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7165), _u7167), _u7168))) )).
% 27.68/27.94 cnf(matrix-4152, plain, ( ~class_Rings_Ocomm__semiring__1(_u7169) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7169), c_Groups_Oone__class_Oone(_u7169)), _u7170)) )).
% 27.68/27.94 cnf(matrix-4153, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7173), _u7174)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7174), _u7173)) | ~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)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7173), _u7175)) )).
% 27.68/27.94 cnf(matrix-4154, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7173), _u7174)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7174), _u7173)) | ~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)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7175), _u7173)) )).
% 27.68/27.94 cnf(matrix-4155, 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)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7179), _u7180)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7178), _u7180)) )).
% 27.68/27.94 cnf(matrix-4156, 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)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7179), _u7180)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7180), _u7178)) )).
% 27.68/27.94 cnf(matrix-4157, 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)) | ( _u7182 != _u7183) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7181), _u7183)) )).
% 27.68/27.94 cnf(matrix-4158, 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)) | ( _u7182 != _u7183) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7183), _u7181)) )).
% 27.68/27.94 cnf(matrix-4159, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7184), _u7185)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7185), _u7184)) | ( _u7185 != _u7184) )).
% 27.68/27.94 cnf(matrix-4160, 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)) | ( _u7186 != _u7187) )).
% 27.68/27.94 cnf(matrix-4161, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7194), _u7195)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7195), _u7194)) | ( _u7194 != _u7195) )).
% 27.68/27.94 cnf(matrix-4162, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7196), _u7197)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7197), _u7198)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7198), _u7197)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7196), _u7198)) )).
% 27.68/27.94 cnf(matrix-4163, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7196), _u7197)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7197), _u7198)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7198), _u7197)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7198), _u7196)) )).
% 27.68/27.94 cnf(matrix-4164, plain, ( ( _u7199 != _u7200) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7200), _u7201)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7201), _u7200)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7199), _u7201)) )).
% 27.68/27.94 cnf(matrix-4165, plain, ( ( _u7199 != _u7200) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7200), _u7201)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7201), _u7200)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7201), _u7199)) )).
% 27.68/27.94 cnf(matrix-4166, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7202), _u7203)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7203), _u7204)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7202), _u7204)) )).
% 27.68/27.94 cnf(matrix-4167, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7205), _u7206)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7206), _u7205)) | ( _u7205 = _u7206) )).
% 27.68/27.94 cnf(matrix-4168, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7207), _u7208)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7208), _u7207)) | ( _u7207 = _u7208) )).
% 27.68/27.94 cnf(matrix-4169, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7209), _u7210)) | ( _u7210 != _u7211) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7209), _u7211)) )).
% 27.68/27.94 cnf(matrix-4170, plain, ( ( _u7212 != _u7213) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7213), _u7214)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7212), _u7214)) )).
% 27.68/27.94 cnf(matrix-4171, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7215), _u7216)) | ( _u7215 = _u7216) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7216), _u7215)) )).
% 27.68/27.94 cnf(matrix-4172, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7217), _u7218)) | ( _u7217 = _u7218) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7218), _u7217)) )).
% 27.68/27.94 cnf(matrix-4173, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7219), _u7220)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7220), _u7219)) | ( _u7220 = _u7219) )).
% 27.68/27.94 cnf(matrix-4174, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7219), _u7220)) | ( _u7220 != _u7219) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7220), _u7219)) )).
% 27.68/27.94 cnf(matrix-4175, plain, ( ( _u7221 != _u7222) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7221), _u7222)) )).
% 27.68/27.94 cnf(matrix-4176, plain, ( ( _u7223 = _u7224) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7223), _u7224)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7224), _u7223)) )).
% 27.68/27.94 cnf(matrix-4177, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7227), _u7229)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7229), _u7227)) | ( _u7227 != _u7229) )).
% 27.68/27.94 cnf(matrix-4178, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7228), _u7230)) | ( _u7228 = _u7230) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7230), _u7228)) )).
% 27.68/27.94 cnf(matrix-4179, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7233), _u7235)) | ( _u7233 = _u7235) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7235), _u7233)) )).
% 27.68/27.94 cnf(matrix-4180, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7234), _u7236)) | ( _u7234 != _u7236) )).
% 27.68/27.94 cnf(matrix-4181, plain, ( ( _u7239 != _u7241) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7239), _u7241)) )).
% 27.68/27.94 cnf(matrix-4182, plain, ( ( _u7239 != _u7241) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7241), _u7239)) )).
% 27.68/27.94 cnf(matrix-4183, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7240), _u7242)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7242), _u7240)) | ( _u7240 = _u7242) )).
% 27.68/27.94 cnf(matrix-4184, plain, ( ~class_Orderings_Olinorder(_u7243) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u7243), _u7244) != hAPP(c_SetInterval_Oord__class_OlessThan(_u7243), _u7245)) | ( _u7244 = _u7245) )).
% 27.68/27.94 cnf(matrix-4185, plain, ( ~class_Orderings_Olinorder(_u7243) | ( _u7244 != _u7245) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u7243), _u7244) = hAPP(c_SetInterval_Oord__class_OlessThan(_u7243), _u7245)) )).
% 27.68/27.94 cnf(matrix-4186, plain, ( ~class_Rings_Ocomm__semiring__1(_u7246) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7246), _u7247), _u7248)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7246), _u7248), _u7249)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7246), _u7247), _u7249)) )).
% 27.68/27.94 cnf(matrix-4187, plain, ( ~class_Rings_Ocomm__semiring__1(_u7250) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7250), _u7251), _u7251)) )).
% 27.68/27.94 cnf(matrix-4188, plain, ( ~class_Rings_Ocomm__semiring__1(_u7252) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7252), _u7253), _u7254)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7252), hAPP(hAPP(c_Power_Opower__class_Opower(_u7252), _u7253), _u7255)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7252), _u7254), _u7255))) )).
% 27.68/27.94 cnf(matrix-4189, plain, ( ~class_Divides_Osemiring__div(_u7256) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7256), _u7257), _u7258)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7256), _u7257), c_Divides_Odiv__class_Omod(_u7256, _u7259, _u7258))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7256), _u7257), _u7259)) )).
% 27.68/27.94 cnf(matrix-4190, plain, ( ~class_Divides_Osemiring__div(_u7256) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7256), _u7257), _u7258)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7256), _u7257), _u7259)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7256), _u7257), c_Divides_Odiv__class_Omod(_u7256, _u7259, _u7258))) )).
% 27.68/27.94 cnf(matrix-4191, plain, ( ~class_Divides_Osemiring__div(_u7260) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7260), _u7261), _u7262)) | ( c_Divides_Odiv__class_Omod(_u7260, c_Divides_Odiv__class_Omod(_u7260, _u7263, _u7262), _u7261) = c_Divides_Odiv__class_Omod(_u7260, _u7263, _u7261)) )).
% 27.68/27.94 cnf(matrix-4192, plain, ( ~class_Divides_Osemiring__div(_u7264) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7264), _u7265), _u7266)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7264), _u7265), _u7267)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7264), _u7265), c_Divides_Odiv__class_Omod(_u7264, _u7266, _u7267))) )).
% 27.68/27.94 cnf(matrix-4193, plain, ( ~class_Divides_Osemiring__div(_u7268) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7268), _u7269), c_Divides_Odiv__class_Omod(_u7268, _u7270, _u7271))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7268), _u7269), _u7271)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7268), _u7269), _u7270)) )).
% 27.68/27.94 cnf(matrix-4194, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7274), _u7276)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7274)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7276))) )).
% 27.68/27.94 cnf(matrix-4195, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7275)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7277))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7275), _u7277)) )).
% 27.68/27.94 cnf(matrix-4196, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7280)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7282))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7280), _u7282)) )).
% 27.68/27.94 cnf(matrix-4197, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7281), _u7283)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7281)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7283))) )).
% 27.68/27.94 cnf(matrix-4198, plain, ( ~class_Rings_Ocomm__semiring__1(_u7284) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7284), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7284), _u7285), _u7286)), _u7287)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7284), _u7286), _u7287)) )).
% 27.68/27.94 cnf(matrix-4199, plain, ( ~class_Rings_Ocomm__semiring__1(_u7288) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7288), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7288), _u7289), _u7290)), _u7291)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7288), _u7289), _u7291)) )).
% 27.68/27.94 cnf(matrix-4200, plain, ( ~class_Rings_Odvd(_u7292) | ( _u7293 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7292), _u7294), _u7295)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7292), _u7294), _u7293)) )).
% 27.68/27.94 cnf(matrix-4201, plain, ( ~class_Rings_Ocomm__semiring__1(_u7296) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7296), _u7297), _u7298)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7296), _u7299), _u7300)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7296), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7296), _u7297), _u7299)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7296), _u7298), _u7300))) )).
% 27.68/27.94 cnf(matrix-4202, plain, ( ~class_Rings_Ocomm__semiring__1(_u7301) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7301), _u7302), _u7303)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7301), _u7302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7301), _u7304), _u7303))) )).
% 27.68/27.94 cnf(matrix-4203, plain, ( ~class_Rings_Ocomm__semiring__1(_u7305) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7305), _u7306), _u7307)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7305), _u7306), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7305), _u7307), _u7308))) )).
% 27.68/27.94 cnf(matrix-4204, plain, ( ~class_Rings_Ocomm__semiring__1(_u7309) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7309), _u7310), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7309), _u7311), _u7310))) )).
% 27.68/27.94 cnf(matrix-4205, plain, ( ~class_Rings_Ocomm__semiring__1(_u7312) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7312), _u7313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7312), _u7313), _u7314))) )).
% 27.68/27.94 cnf(matrix-4206, plain, ( ~class_Rings_Olinordered__idom(_u7315) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7315), _u7316), hAPP(c_Groups_Oabs__class_Oabs(_u7315), _u7317))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7315), _u7316), _u7317)) )).
% 27.68/27.94 cnf(matrix-4207, plain, ( ~class_Rings_Olinordered__idom(_u7315) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7315), _u7316), _u7317)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7315), _u7316), hAPP(c_Groups_Oabs__class_Oabs(_u7315), _u7317))) )).
% 27.68/27.94 cnf(matrix-4208, plain, ( ~class_Rings_Olinordered__idom(_u7318) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7318), hAPP(c_Groups_Oabs__class_Oabs(_u7318), _u7319)), _u7320)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7318), _u7319), _u7320)) )).
% 27.68/27.94 cnf(matrix-4209, plain, ( ~class_Rings_Olinordered__idom(_u7318) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7318), _u7319), _u7320)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7318), hAPP(c_Groups_Oabs__class_Oabs(_u7318), _u7319)), _u7320)) )).
% 27.68/27.94 cnf(matrix-4210, plain, ( ~class_Rings_Olinordered__idom(_u7321) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7321), _u7322) != hAPP(c_Groups_Oabs__class_Oabs(_u7321), _u7323)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7321), _u7322), _u7323)) )).
% 27.68/27.94 cnf(matrix-4211, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7324), _u7325)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7324), _u7326)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7324), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7325), _u7326))) )).
% 27.68/27.94 cnf(matrix-4212, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7327), _u7328)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7327), _u7329)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7327), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7328, _u7329))) )).
% 27.68/27.94 cnf(matrix-4213, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7330), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7331, _u7332))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7330), _u7332)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7330), _u7331)) )).
% 27.68/27.94 cnf(matrix-4214, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7335), _u7337)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7335)), _u7337)) )).
% 27.68/27.94 cnf(matrix-4215, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7336)), _u7338)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7336), _u7338)) )).
% 27.68/27.94 cnf(matrix-4216, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7341), _u7343)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7341), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7343))) )).
% 27.68/27.94 cnf(matrix-4217, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7342), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7344))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7342), _u7344)) )).
% 27.68/27.94 cnf(matrix-4218, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7345), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7346), _u7347))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7345), _u7347)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7345), _u7346)) )).
% 27.68/27.94 cnf(matrix-4219, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7350), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7352), _u7350))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7350), _u7352)) )).
% 27.68/27.94 cnf(matrix-4220, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7351), _u7353)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7351), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7353), _u7351))) )).
% 27.68/27.94 cnf(matrix-4221, plain, ( ~class_Rings_Osemiring__1(_u7354) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7354), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7355, tc_Nat_Onat), _u7356), _u7357)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7355, _u7354), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7354, _u7355), c_Nat_Osemiring__1__class_Oof__nat(_u7354)), _u7356)), _u7357)) )).
% 27.68/27.94 cnf(matrix-4222, plain, ( ~class_Rings_Ocomm__ring__1(_u7358) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7358), _u7359), _u7360)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7358), _u7359), _u7361)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7358), _u7359), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7358), _u7360), _u7361))) )).
% 27.68/27.94 cnf(matrix-4223, plain, ( ~class_Rings_Ocomm__ring__1(_u7362) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7362), hAPP(c_Groups_Ouminus__class_Ouminus(_u7362), _u7363)), _u7364)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7362), _u7363), _u7364)) )).
% 27.68/27.94 cnf(matrix-4224, plain, ( ~class_Rings_Ocomm__ring__1(_u7362) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7362), _u7363), _u7364)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7362), hAPP(c_Groups_Ouminus__class_Ouminus(_u7362), _u7363)), _u7364)) )).
% 27.68/27.94 cnf(matrix-4225, plain, ( ~class_Rings_Ocomm__ring__1(_u7365) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7365), _u7366), hAPP(c_Groups_Ouminus__class_Ouminus(_u7365), _u7367))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7365), _u7366), _u7367)) )).
% 27.68/27.94 cnf(matrix-4226, plain, ( ~class_Rings_Ocomm__ring__1(_u7365) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7365), _u7366), _u7367)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7365), _u7366), hAPP(c_Groups_Ouminus__class_Ouminus(_u7365), _u7367))) )).
% 27.68/27.94 cnf(matrix-4227, plain, ( ~class_Groups_Ocomm__monoid__add(_u7368) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7368), _u7369), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7370))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7368), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7368), _u7369), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7370))), hAPP(_u7369, _u7370))) )).
% 27.68/27.94 cnf(matrix-4228, plain, ( ~class_Rings_Oring__1(_u7371) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7371), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7372, tc_Int_Oint), _u7373), _u7374)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7372, _u7371), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7371, _u7372), c_Int_Oring__1__class_Oof__int(_u7371)), _u7373)), _u7374)) )).
% 27.68/27.94 cnf(matrix-4229, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7376), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( _u7376 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4230, plain, ( ( _u7377 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7377), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.68/27.94 cnf(matrix-4231, plain, ( ~class_Groups_Ocomm__monoid__add(_u7378) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7379, _u7378), hAPP(hAPP(c_COMBC(_u7379, tc_fun(_u7380, tc_HOL_Obool), _u7378), hAPP(hAPP(c_COMBB(tc_fun(_u7380, _u7378), tc_fun(tc_fun(_u7380, tc_HOL_Obool), _u7378), _u7379), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7380, _u7378)), _u7381)), _u7382)), _u7383) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7380, _u7378), hAPP(hAPP(c_COMBC(_u7380, tc_fun(_u7379, tc_HOL_Obool), _u7378), hAPP(hAPP(c_COMBB(tc_fun(_u7379, _u7378), tc_fun(tc_fun(_u7379, tc_HOL_Obool), _u7378), _u7380), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7379, _u7378)), hAPP(c_COMBC(_u7379, _u7380, _u7378), _u7381))), _u7383)), _u7382)) )).
% 27.68/27.94 cnf(matrix-4232, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7384), _u7385)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7385), _u7384)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7384) = hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7385)) )).
% 27.68/27.94 cnf(matrix-4233, plain, ( ~class_Groups_Ocomm__monoid__add(_u7386) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7387, _u7386), hAPP(c_COMBK(_u7386, _u7387), c_Groups_Ozero__class_Ozero(_u7386))), _u7388) = c_Groups_Ozero__class_Ozero(_u7386)) )).
% 27.68/27.94 cnf(matrix-4234, plain, ( ~class_Groups_Ocomm__monoid__add(_u7389) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7390, _u7389), hAPP(hAPP(c_COMBS(_u7390, _u7389, _u7389), hAPP(hAPP(c_COMBB(_u7389, tc_fun(_u7389, _u7389), _u7390), c_Groups_Oplus__class_Oplus(_u7389)), _u7391)), _u7392)), _u7393) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7389), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7390, _u7389), _u7391), _u7393)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7390, _u7389), _u7392), _u7393))) )).
% 27.68/27.94 cnf(matrix-4235, plain, ( ~class_Rings_Osemiring__0(_u7394) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7394), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7395, _u7394), _u7396), _u7397)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7398, _u7394), _u7399), _u7400)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7395, _u7394), hAPP(hAPP(c_COMBC(_u7395, tc_fun(_u7398, tc_HOL_Obool), _u7394), hAPP(hAPP(c_COMBB(tc_fun(_u7398, _u7394), tc_fun(tc_fun(_u7398, tc_HOL_Obool), _u7394), _u7395), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7398, _u7394)), hAPP(hAPP(c_COMBC(_u7395, tc_fun(_u7398, _u7394), tc_fun(_u7398, _u7394)), hAPP(hAPP(c_COMBB(tc_fun(_u7394, _u7394), tc_fun(tc_fun(_u7398, _u7394), tc_fun(_u7398, _u7394)), _u7395), c_COMBB(_u7394, _u7394, _u7398)), hAPP(hAPP(c_COMBB(_u7394, tc_fun(_u7394, _u7394), _u7395), c_Groups_Otimes__class_Otimes(_u7394)), _u7396))), _u7399))), _u7400)), _u7397)) )).
% 27.68/27.94 cnf(matrix-4236, plain, ( ~class_Rings_Osemiring__0(_u7401) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7401), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7402, _u7401), _u7403), _u7404)), _u7405) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7402, _u7401), hAPP(hAPP(c_COMBC(_u7402, _u7401, _u7401), hAPP(hAPP(c_COMBB(_u7401, tc_fun(_u7401, _u7401), _u7402), c_Groups_Otimes__class_Otimes(_u7401)), _u7403)), _u7405)), _u7404)) )).
% 27.68/27.94 cnf(matrix-4237, plain, ( ~class_Rings_Osemiring__0(_u7406) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7406), _u7407), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7408, _u7406), _u7409), _u7410)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7408, _u7406), hAPP(hAPP(c_COMBB(_u7406, _u7406, _u7408), hAPP(c_Groups_Otimes__class_Otimes(_u7406), _u7407)), _u7409)), _u7410)) )).
% 27.68/27.94 cnf(matrix-4238, plain, ( ~class_Groups_Oab__group__add(_u7411) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7412, _u7411), hAPP(hAPP(c_COMBS(_u7412, _u7411, _u7411), hAPP(hAPP(c_COMBB(_u7411, tc_fun(_u7411, _u7411), _u7412), c_Groups_Ominus__class_Ominus(_u7411)), _u7413)), _u7414)), _u7415) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7411), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7412, _u7411), _u7413), _u7415)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7412, _u7411), _u7414), _u7415))) )).
% 27.68/27.94 cnf(matrix-4239, plain, ( ~class_Groups_Oab__group__add(_u7416) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7417, _u7416), hAPP(hAPP(c_COMBB(_u7416, _u7416, _u7417), c_Groups_Ouminus__class_Ouminus(_u7416)), _u7418)), _u7419) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7416), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7417, _u7416), _u7418), _u7419))) )).
% 27.68/27.94 cnf(matrix-4240, plain, ( ~class_Fields_Ofield(_u7420) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7420), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7421, _u7420), _u7422), _u7423)), _u7424) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7421, _u7420), hAPP(hAPP(c_COMBC(_u7421, _u7420, _u7420), hAPP(hAPP(c_COMBB(_u7420, tc_fun(_u7420, _u7420), _u7421), c_Rings_Oinverse__class_Odivide(_u7420)), _u7422)), _u7424)), _u7423)) )).
% 27.68/27.94 cnf(matrix-4241, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7425) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7425), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7426, _u7425), hAPP(hAPP(c_COMBB(_u7425, _u7425, _u7426), c_Groups_Oabs__class_Oabs(_u7425)), _u7427)), _u7428)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7426, _u7425), hAPP(hAPP(c_COMBB(_u7425, _u7425, _u7426), c_Groups_Oabs__class_Oabs(_u7425)), _u7427)), _u7428)) )).
% 27.68/27.94 cnf(matrix-4242, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7430)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7429)), hAPP(c_Int_Onat, _u7430))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7429), _u7430)) )).
% 27.68/27.94 cnf(matrix-4243, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7430)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7429), _u7430)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7429)), hAPP(c_Int_Onat, _u7430))) )).
% 27.68/27.94 cnf(matrix-4244, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7433), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7435))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7433))), _u7435)) )).
% 27.68/27.94 cnf(matrix-4245, 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), _u7434))), _u7436)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7434), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7436))) )).
% 27.68/27.94 cnf(matrix-4246, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7439)), _u7441)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7439), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7441)))) )).
% 27.68/27.94 cnf(matrix-4247, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7440), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7442)))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7440)), _u7442)) )).
% 27.68/27.94 cnf(matrix-4248, plain, ( ~class_Orderings_Olinorder(_u7443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7443, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7443), _u7444)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7443), _u7445))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7443), _u7444), _u7445)) )).
% 27.68/27.94 cnf(matrix-4249, plain, ( ~class_Orderings_Olinorder(_u7443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7443), _u7444), _u7445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7443, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7443), _u7444)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7443), _u7445))) )).
% 27.68/27.94 cnf(matrix-4250, plain, ( ~class_Rings_Oidom(_u7446) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7446), _u7447), _u7448)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7446), _u7447), _u7449))) | ( _u7447 = c_Groups_Ozero__class_Ozero(_u7446)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7446), _u7448), _u7449)) )).
% 27.68/27.94 cnf(matrix-4251, plain, ( ~class_Rings_Oidom(_u7446) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7446), _u7447), _u7448)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7446), _u7447), _u7449))) | ( _u7447 != c_Groups_Ozero__class_Ozero(_u7446)) )).
% 27.68/27.94 cnf(matrix-4252, plain, ( ~class_Rings_Oidom(_u7446) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7446), _u7447), _u7448)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7446), _u7447), _u7449))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7446), _u7448), _u7449)) )).
% 27.68/27.94 cnf(matrix-4253, plain, ( ~class_Rings_Oidom(_u7450) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7451), _u7452)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7453), _u7452))) | ( _u7452 = c_Groups_Ozero__class_Ozero(_u7450)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7450), _u7451), _u7453)) )).
% 27.68/27.94 cnf(matrix-4254, plain, ( ~class_Rings_Oidom(_u7450) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7451), _u7452)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7453), _u7452))) | ( _u7452 != c_Groups_Ozero__class_Ozero(_u7450)) )).
% 27.68/27.94 cnf(matrix-4255, plain, ( ~class_Rings_Oidom(_u7450) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7451), _u7452)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7453), _u7452))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7450), _u7451), _u7453)) )).
% 27.68/27.94 cnf(matrix-4256, plain, ( ~class_Divides_Osemiring__div(_u7454) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7454), _u7455), _u7456)) | ( c_Divides_Odiv__class_Omod(_u7454, _u7456, _u7455) = c_Groups_Ozero__class_Ozero(_u7454)) )).
% 27.68/27.94 cnf(matrix-4257, plain, ( ~class_Divides_Osemiring__div(_u7457) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7457), _u7458), _u7459)) | ( c_Divides_Odiv__class_Omod(_u7457, _u7459, _u7458) = c_Groups_Ozero__class_Ozero(_u7457)) )).
% 27.68/27.94 cnf(matrix-4258, plain, ( ~class_Divides_Osemiring__div(_u7457) | ( c_Divides_Odiv__class_Omod(_u7457, _u7459, _u7458) != c_Groups_Ozero__class_Ozero(_u7457)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7457), _u7458), _u7459)) )).
% 27.68/27.94 cnf(matrix-4259, plain, ( ~class_Orderings_Olinorder(_u7460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7460, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7460), _u7461)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7460), _u7462))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7460), _u7461), _u7462)) )).
% 27.68/27.94 cnf(matrix-4260, plain, ( ~class_Orderings_Olinorder(_u7460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7460), _u7461), _u7462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7460, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7460), _u7461)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7460), _u7462))) )).
% 27.68/27.94 cnf(matrix-4261, plain, ( ~class_Divides_Osemiring__div(_u7463) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7463), _u7464), _u7465)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7463), _u7464), _u7466)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7463), _u7465), _u7466)), _u7464) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7463), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7463), _u7465), _u7464)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7463), _u7466), _u7464))) )).
% 27.68/27.94 cnf(matrix-4262, plain, ( ~class_Divides_Osemiring__div(_u7467) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7467), _u7468), _u7469)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7467), _u7470), _u7471)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7467), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7467), _u7469), _u7468)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7467), _u7471), _u7470)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7467), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7467), _u7469), _u7471)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7467), _u7468), _u7470))) )).
% 27.68/27.94 cnf(matrix-4263, plain, ( ~class_Divides_Osemiring__div(_u7472) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7472), _u7473), _u7474)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7472), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7472), _u7474), _u7473)), _u7475) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7472), _u7474), _u7475)), _u7473)) )).
% 27.68/27.94 cnf(matrix-4264, plain, ( ~class_Divides_Osemiring__div(_u7476) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7476), _u7477), _u7478)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7476), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7476), _u7478), _u7477)), _u7477) = _u7478) )).
% 27.68/27.94 cnf(matrix-4265, plain, ( ~class_Divides_Osemiring__div(_u7479) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7479), _u7480), _u7481)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7479), _u7482), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7479), _u7481), _u7480)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7479), _u7482), _u7481)), _u7480)) )).
% 27.68/27.94 cnf(matrix-4266, plain, ( ~class_Divides_Osemiring__div(_u7483) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7483), _u7484), _u7485)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7483), _u7484), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7483), _u7485), _u7484)) = _u7485) )).
% 27.68/27.94 cnf(matrix-4267, plain, ( ~class_Divides_Oring__div(_u7486) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7486), _u7487), _u7488)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7486), hAPP(c_Groups_Ouminus__class_Ouminus(_u7486), _u7488)), _u7487) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7486), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7486), _u7488), _u7487))) )).
% 27.68/27.94 cnf(matrix-4268, plain, ( ~class_Divides_Oring__div(_u7489) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7489), _u7490), _u7491)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7489), _u7491), hAPP(c_Groups_Ouminus__class_Ouminus(_u7489), _u7490)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7489), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7489), _u7491), _u7490))) )).
% 27.68/27.94 cnf(matrix-4269, plain, ( ~class_Rings_Ocomm__semiring__1(_u7492) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7493), _u7494)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7492), hAPP(hAPP(c_Power_Opower__class_Opower(_u7492), _u7495), _u7493)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7492), _u7495), _u7494))) )).
% 27.68/27.94 cnf(matrix-4270, plain, ( ~class_Rings_Ocomm__semiring__1(_u7496) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7496), _u7497), _u7498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7499), _u7500)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7496), hAPP(hAPP(c_Power_Opower__class_Opower(_u7496), _u7497), _u7499)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7496), _u7498), _u7500))) )).
% 27.68/27.94 cnf(matrix-4271, plain, ( ~class_Rings_Ocomm__semiring__1(_u7501) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7501), hAPP(hAPP(c_Power_Opower__class_Opower(_u7501), _u7502), _u7503)), _u7504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7505), _u7503)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7501), hAPP(hAPP(c_Power_Opower__class_Opower(_u7501), _u7502), _u7505)), _u7504)) )).
% 27.68/27.94 cnf(matrix-4272, plain, ( ~class_Divides_Osemiring__div(_u7506) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7506), _u7507), _u7508)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7506), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7506), _u7508), _u7507)), _u7509) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7506), hAPP(hAPP(c_Power_Opower__class_Opower(_u7506), _u7508), _u7509)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7506), _u7507), _u7509))) )).
% 27.68/27.94 cnf(matrix-4273, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7511)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7510), _u7511)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7511), _u7510)) | ( _u7510 = _u7511) )).
% 27.68/27.94 cnf(matrix-4274, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7512)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7512), _u7513)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7513), _u7512)) )).
% 27.68/27.94 cnf(matrix-4275, plain, ( ( _u7514 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7515), _u7516)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7514), _u7515)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7514), _u7516))) )).
% 27.68/27.94 cnf(matrix-4276, plain, ( ( _u7514 = 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), _u7514), _u7515)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7514), _u7516))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7515), _u7516)) )).
% 27.68/27.94 cnf(matrix-4277, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7517), _u7518)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7517), _u7519))) | ( _u7517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7518), _u7519)) )).
% 27.68/27.94 cnf(matrix-4278, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7520), _u7521)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7522), _u7523))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7522), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7524), _u7521))), _u7523))) )).
% 27.68/27.94 cnf(matrix-4279, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7520), _u7521)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7522), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7524), _u7521))), _u7523))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7522), _u7523))) )).
% 27.68/27.94 cnf(matrix-4280, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7528), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7530), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7528), _u7532)))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7528), _u7530)) )).
% 27.68/27.94 cnf(matrix-4281, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7529), _u7531)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7529), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7531), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7529), _u7533)))) )).
% 27.68/27.94 cnf(matrix-4282, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7535), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u7535 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.94 cnf(matrix-4283, plain, ( ( _u7536 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7536), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.94 cnf(matrix-4284, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7537), _u7538)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7538), _u7537)) )).
% 27.68/27.94 cnf(matrix-4285, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7542), _u7544)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7542), _u7546))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7544), _u7546)) )).
% 27.68/27.94 cnf(matrix-4286, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7543), _u7545)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7543), _u7547))) | ( _u7543 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4287, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7543), _u7545)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7543), _u7547))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7545), _u7547)) )).
% 27.68/27.94 cnf(matrix-4288, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7548), _u7549)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7548), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7549), _u7548)) = _u7549) )).
% 27.68/27.94 cnf(matrix-4289, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7553, _u7555) != c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7557, _u7555)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7555), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7553), _u7557))) )).
% 27.68/27.94 cnf(matrix-4290, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7556), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7554), _u7558))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7554, _u7556) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7558, _u7556)) )).
% 27.68/27.94 cnf(matrix-4291, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7559), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7560), _u7561))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7559), _u7561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7561), _u7560)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7559), _u7560)) )).
% 27.68/27.94 cnf(matrix-4292, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7562), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7563), _u7564))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7562), _u7563)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7564), _u7563)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7562), _u7564)) )).
% 27.68/27.94 cnf(matrix-4293, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7566), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7566) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 27.68/27.94 cnf(matrix-4294, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7567) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7567), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 27.68/27.94 cnf(matrix-4295, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7568), _u7569)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7569), _u7568)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7569)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7568))) )).
% 27.68/27.94 cnf(matrix-4296, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7572)), _u7574)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7572)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7572), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7574))) )).
% 27.68/27.94 cnf(matrix-4297, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7572)), _u7574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7572)) | ( _u7574 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4298, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7573)), _u7575)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7573)) | ( _u7575 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4299, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7573)), _u7575)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7573), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7573)) )).
% 27.68/27.94 cnf(matrix-4300, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7573)), _u7575)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7573), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7575))) | ( _u7575 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4301, plain, ( ~class_Rings_Ocomm__semiring__1(_u7576) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7576), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7576), c_Groups_Oone__class_Oone(_u7576)), c_Groups_Oone__class_Oone(_u7576))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7576), hAPP(hAPP(c_COMBB(_u7576, _u7576, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u7576), _u7577)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u7576, _u7576), hAPP(hAPP(c_COMBB(_u7576, tc_fun(_u7576, _u7576), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u7576)), c_Nat_Osemiring__1__class_Oof__nat(_u7576))), _u7578))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7579))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7576), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7576), _u7579)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7576), _u7577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7576), _u7577), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7576), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7576), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7579), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u7578))))) )).
% 27.68/27.94 cnf(matrix-4302, plain, ( ~class_Rings_Odvd(_u7584) | ~class_Rings_Osemiring__0(_u7584) | ~hBOOL(hAPP(_u7585, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7584), _u7586), _u7580))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7584), _u7586), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7584), skolem102(_u7586, _u7585, _u7584)), c_Groups_Ozero__class_Ozero(_u7584)))) )).
% 27.68/27.94 cnf(matrix-4303, plain, ( ~class_Rings_Odvd(_u7584) | ~class_Rings_Osemiring__0(_u7584) | ~hBOOL(hAPP(_u7585, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7584), _u7586), _u7580))) | hBOOL(hAPP(_u7585, skolem102(_u7586, _u7585, _u7584))) )).
% 27.68/27.94 cnf(matrix-4304, plain, ( ~class_Rings_Odvd(_u7584) | ~class_Rings_Osemiring__0(_u7584) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7584), _u7586), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7584), _u7582), c_Groups_Ozero__class_Ozero(_u7584)))) | ~hBOOL(hAPP(_u7585, _u7582)) | hBOOL(hAPP(_u7585, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7584), _u7586), skolem103(_u7586, _u7585, _u7584)))) )).
% 27.68/27.94 cnf(matrix-4305, plain, ( ~class_Rings_Ocomm__ring(_u7589) | ~class_Rings_Odvd(_u7589) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7589), _u7590), _u7591)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7589), _u7590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7589), _u7595), _u7592))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7589), _u7590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7589), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7589), _u7595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7589), _u7593), _u7591))), _u7592))) )).
% 27.68/27.94 cnf(matrix-4306, plain, ( ~class_Rings_Ocomm__ring(_u7589) | ~class_Rings_Odvd(_u7589) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7589), _u7590), _u7591)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7589), _u7590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7589), _u7596), _u7592))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7589), _u7590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7589), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7589), _u7596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7589), _u7594), _u7591))), _u7592))) )).
% 27.68/27.94 cnf(matrix-4307, plain, ( ~class_Rings_Ocomm__ring(_u7599) | ~class_Rings_Odvd(_u7599) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7599), _u7600), _u7601)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7599), _u7600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7599), _u7605), _u7602))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7599), _u7600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7599), _u7605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7599), _u7603), _u7601))), _u7602))) )).
% 27.68/27.94 cnf(matrix-4308, plain, ( ~class_Rings_Ocomm__ring(_u7599) | ~class_Rings_Odvd(_u7599) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7599), _u7600), _u7601)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7599), _u7600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7599), _u7606), _u7602))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7599), _u7600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7599), _u7606), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7599), _u7604), _u7601))), _u7602))) )).
% 27.68/27.94 cnf(matrix-4309, plain, ( ~class_Divides_Osemiring__div(_u7607) | ~class_Int_Onumber(_u7607) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7607), hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7608)), hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7609))) | ( c_Divides_Odiv__class_Omod(_u7607, hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7609), hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7608)) = c_Groups_Ozero__class_Ozero(_u7607)) )).
% 27.68/27.94 cnf(matrix-4310, plain, ( ~class_Divides_Osemiring__div(_u7607) | ~class_Int_Onumber(_u7607) | ( c_Divides_Odiv__class_Omod(_u7607, hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7609), hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7608)) != c_Groups_Ozero__class_Ozero(_u7607)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7607), hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7608)), hAPP(c_Int_Onumber__class_Onumber__of(_u7607), _u7609))) )).
% 27.68/27.94 cnf(matrix-4311, plain, ( ~class_Divides_Osemiring__div(_u7610) | ( _u7611 = c_Groups_Ozero__class_Ozero(_u7610)) | ( _u7612 = c_Groups_Ozero__class_Ozero(_u7610)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7610), _u7611), _u7613)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7610), _u7612), _u7614)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7610), _u7613), _u7611) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7610), _u7614), _u7612)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7610), _u7613), _u7612) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7610), _u7611), _u7614)) )).
% 27.68/27.94 cnf(matrix-4312, plain, ( ~class_Divides_Osemiring__div(_u7610) | ( _u7611 = c_Groups_Ozero__class_Ozero(_u7610)) | ( _u7612 = c_Groups_Ozero__class_Ozero(_u7610)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7610), _u7611), _u7613)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7610), _u7612), _u7614)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7610), _u7613), _u7612) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7610), _u7611), _u7614)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7610), _u7613), _u7611) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7610), _u7614), _u7612)) )).
% 27.68/27.94 cnf(matrix-4313, plain, ( ~class_Divides_Osemiring__div(_u7615) | ( _u7616 = c_Groups_Ozero__class_Ozero(_u7615)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7615), _u7616), _u7617)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7615), _u7617), _u7616) != _u7618) | ( _u7617 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7615), _u7618), _u7616)) )).
% 27.68/27.94 cnf(matrix-4314, plain, ( ~class_Divides_Osemiring__div(_u7615) | ( _u7616 = c_Groups_Ozero__class_Ozero(_u7615)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7615), _u7616), _u7617)) | ( _u7617 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7615), _u7618), _u7616)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7615), _u7617), _u7616) = _u7618) )).
% 27.68/27.94 cnf(matrix-4315, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7619), _u7620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7619), _u7620)) )).
% 27.68/27.94 cnf(matrix-4316, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7623)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7625))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7625), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7623)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 27.68/27.94 cnf(matrix-4317, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7626), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7624)) != 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), _u7624)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7626))) )).
% 27.68/27.94 cnf(matrix-4318, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7627), _u7628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7628)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7627), _u7628)) )).
% 27.68/27.94 cnf(matrix-4319, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7629), _u7630)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7629), _u7631))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7629)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7630), _u7631)) )).
% 27.68/27.94 cnf(matrix-4320, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7632)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7632), _u7633)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7632), _u7634))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7633), _u7634)) )).
% 27.68/27.94 cnf(matrix-4321, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7632)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7633), _u7634)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7632), _u7633)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7632), _u7634))) )).
% 27.68/27.94 cnf(matrix-4322, plain, ( ( _u7635 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7636), _u7635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7636)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7635))) )).
% 27.68/27.94 cnf(matrix-4323, plain, ( ~class_Rings_Ocomm__semiring__1(_u7637) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7637), _u7639), hAPP(hAPP(c_Power_Opower__class_Opower(_u7637), _u7639), _u7638))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7638)) )).
% 27.68/27.94 cnf(matrix-4324, plain, ( ~class_Rings_Ocomm__semiring__1(_u7637) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7637), _u7639), hAPP(hAPP(c_Power_Opower__class_Opower(_u7637), _u7639), _u7638))) | ( _u7639 != c_Groups_Oone__class_Oone(_u7637)) )).
% 27.68/27.94 cnf(matrix-4325, plain, ( ~class_Orderings_Oorder(_u7640) | ~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7640, 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)))), _u7641) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7642), _u7643)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7643), _u7642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7640), hAPP(_u7641, _u7642)), hAPP(_u7641, _u7643))) )).
% 27.68/27.94 cnf(matrix-4326, 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), _u7644)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u7645))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7646))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7646), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7646), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7645))))) )).
% 27.68/27.94 cnf(matrix-4327, plain, ( ~class_Orderings_Oorder(_u7647) | ~c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7647, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7648) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7649), _u7650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7647), hAPP(_u7648, _u7649)), hAPP(_u7648, _u7650))) )).
% 27.68/27.94 cnf(matrix-4328, plain, ( ~class_Groups_Oab__group__add(_u7651) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7652), _u7653)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7651), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u7651, _u7651), hAPP(hAPP(c_COMBB(_u7651, tc_fun(_u7651, _u7651), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u7651)), _u7654)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7651, tc_Nat_Onat), _u7654), 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, _u7652, _u7653)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7651), hAPP(_u7654, _u7652)), hAPP(_u7654, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7653), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 27.68/27.94 cnf(matrix-4329, plain, ( ~class_Groups_Oab__group__add(_u7651) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7652), _u7653)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7651), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u7651, _u7651), hAPP(hAPP(c_COMBB(_u7651, tc_fun(_u7651, _u7651), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u7651)), _u7654)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7651, tc_Nat_Onat), _u7654), 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, _u7652, _u7653)) = c_Groups_Ozero__class_Ozero(_u7651)) )).
% 27.68/27.94 cnf(matrix-4330, plain, ( ~class_Rings_Ocomm__semiring__1(_u7655) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7655), c_Groups_Oone__class_Oone(_u7655)), c_Groups_Oone__class_Oone(_u7655))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7655), c_Nat_Osemiring__1__class_Oof__nat(_u7655)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u7656))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7655), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7655), _u7656)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7655), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7655), _u7656)), c_Groups_Oone__class_Oone(_u7655)))) )).
% 27.68/27.94 cnf(matrix-4331, plain, ( ( hAPP(_u7657, 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), _u7657), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7658)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u7657), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7658))) )).
% 27.68/27.94 cnf(matrix-4332, plain, ( ~class_Orderings_Oorder(_u7659) | ~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7659, 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)))), _u7660) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7659, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7660) )).
% 27.68/27.94 cnf(matrix-4333, plain, ( ~class_Orderings_Oorder(_u7661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7661, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7662, _u7663)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7664, _u7665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7662), _u7663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7664), _u7662)) )).
% 27.68/27.94 cnf(matrix-4334, plain, ( ~class_Orderings_Oorder(_u7661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7661, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7662, _u7663)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7664, _u7665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7662), _u7663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7663), _u7665)) )).
% 27.68/27.94 cnf(matrix-4335, plain, ( ~class_Orderings_Oorder(_u7661) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7661, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7662, _u7663)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7664, _u7665))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7662), _u7663)) )).
% 27.68/27.94 cnf(matrix-4336, plain, ( ~class_Orderings_Oorder(_u7661) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7661, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7662, _u7663)), c_SetInterval_Oord__class_OatLeastAtMost(_u7661, _u7664, _u7665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7664), _u7662)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7661), _u7663), _u7665)) )).
% 27.68/27.94 cnf(matrix-4337, plain, ( ~class_Groups_Ocomm__monoid__add(_u7666) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7666), _u7667), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7668), hAPP(c_Nat_OSuc, _u7669))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7666), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7666, tc_Nat_Onat), _u7667), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7668, _u7669))) )).
% 27.68/27.94 cnf(matrix-4338, plain, ( ~class_Groups_Ocomm__monoid__add(_u7670) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7670), _u7671), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7672), _u7673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7674), _u7673))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7670), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7670, tc_Nat_Onat), _u7671), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u7673))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7672, _u7674))) )).
% 27.68/27.94 cnf(matrix-4339, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7675, tc_Nat_Onat), _u7676), _u7677)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7675, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7675), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7676)), _u7677)) )).
% 27.68/27.94 cnf(matrix-4340, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7678, tc_Nat_Onat), _u7679), _u7680) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7678, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7678), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7679)), _u7680))) )).
% 27.68/27.94 cnf(matrix-4341, plain, ( ~class_Orderings_Oorder(_u7681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7682), _u7683)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7682)) )).
% 27.68/27.94 cnf(matrix-4342, plain, ( ~class_Orderings_Oorder(_u7681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7682), _u7683)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7683), _u7685)) )).
% 27.68/27.94 cnf(matrix-4343, plain, ( ~class_Orderings_Oorder(_u7681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7682), _u7683)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7681), _u7684), _u7682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7681), _u7683), _u7685)) )).
% 27.68/27.94 cnf(matrix-4344, plain, ( ~class_Orderings_Oorder(_u7681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7685)) )).
% 27.68/27.94 cnf(matrix-4345, plain, ( ~class_Orderings_Oorder(_u7681) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7682), _u7683)) )).
% 27.68/27.94 cnf(matrix-4346, plain, ( ~class_Orderings_Oorder(_u7681) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7683), _u7685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7681), _u7684), _u7682)) )).
% 27.68/27.94 cnf(matrix-4347, plain, ( ~class_Orderings_Oorder(_u7681) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7681, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7682, _u7683)), c_SetInterval_Oord__class_OatLeastAtMost(_u7681, _u7684, _u7685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7684), _u7682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7681), _u7683), _u7685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7681), _u7683), _u7685)) )).
% 27.68/27.94 cnf(matrix-4348, plain, ( ~class_Groups_Ocomm__monoid__add(_u7686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7687), _u7688)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7686), _u7689), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7687, _u7688)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7686), hAPP(_u7689, _u7687)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7686), _u7689), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7687), _u7688)))) )).
% 27.68/27.94 cnf(matrix-4349, plain, ( ~class_Groups_Ocomm__monoid__add(_u7690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7691)), _u7692)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7690), _u7693), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7692, hAPP(c_Nat_OSuc, _u7691))) = c_Groups_Ozero__class_Ozero(_u7690)) )).
% 27.68/27.94 cnf(matrix-4350, plain, ( ~class_Groups_Ocomm__monoid__add(_u7690) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7691)), _u7692)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7690), _u7693), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7692, hAPP(c_Nat_OSuc, _u7691))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7690), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7690), _u7693), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7692, _u7691))), hAPP(_u7693, hAPP(c_Nat_OSuc, _u7691)))) )).
% 27.68/27.94 cnf(matrix-4351, plain, ( ~class_Groups_Ocomm__monoid__add(_u7694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7695), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7696), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7694), _u7697), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7695, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7696), _u7698))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7694), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7694), _u7697), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7695, _u7696))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7694), _u7697), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7696), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7696), _u7698))))) )).
% 27.68/27.94 cnf(matrix-4352, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7699), _u7705)) | ~hBOOL(hAPP(_u7707, _u7699)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem104(_u7707, _u7705)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7705))) )).
% 27.68/27.94 cnf(matrix-4353, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7699), _u7705)) | ~hBOOL(hAPP(_u7707, _u7699)) | hBOOL(hAPP(_u7707, skolem104(_u7707, _u7705))) )).
% 27.68/27.94 cnf(matrix-4354, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7701), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7706))) | ~hBOOL(hAPP(_u7708, _u7701)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem105(_u7708, _u7706)), _u7706)) )).
% 27.68/27.94 cnf(matrix-4355, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7701), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7706))) | ~hBOOL(hAPP(_u7708, _u7701)) | hBOOL(hAPP(_u7708, skolem105(_u7708, _u7706))) )).
% 27.68/27.94 cnf(matrix-4356, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7710), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7715))) | hBOOL(hAPP(_u7717, _u7710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem106(_u7717, _u7715)), _u7715)) )).
% 27.68/27.94 cnf(matrix-4357, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7710), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7715))) | hBOOL(hAPP(_u7717, _u7710)) | ~hBOOL(hAPP(_u7717, skolem106(_u7717, _u7715))) )).
% 27.68/27.94 cnf(matrix-4358, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7712), _u7716)) | hBOOL(hAPP(_u7718, _u7712)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem107(_u7718, _u7716)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7716))) )).
% 27.68/27.94 cnf(matrix-4359, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7712), _u7716)) | hBOOL(hAPP(_u7718, _u7712)) | ~hBOOL(hAPP(_u7718, skolem107(_u7718, _u7716))) )).
% 27.68/27.94 cnf(matrix-4360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u7720, skolem108(_u7722, _u7721, _u7720))), hAPP(_u7721, skolem108(_u7722, _u7721, _u7720)))) | ( 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), _u7721), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7722))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u7720), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7722))) = 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)), _u7721)), _u7720)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7722))) )).
% 27.68/27.94 cnf(matrix-4361, plain, ( ~class_Fields_Ofield(_u7723) | ( _u7724 = c_Groups_Oone__class_Oone(_u7723)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7723), hAPP(c_Power_Opower__class_Opower(_u7723), _u7724)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7725)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7723), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7723), hAPP(hAPP(c_Power_Opower__class_Opower(_u7723), _u7724), _u7725)), c_Groups_Oone__class_Oone(_u7723))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7723), _u7724), c_Groups_Oone__class_Oone(_u7723)))) )).
% 27.68/27.94 cnf(matrix-4362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7726), _u7732)) | ~hBOOL(hAPP(_u7734, _u7726)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem109(_u7734, _u7732)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7732))) )).
% 27.68/27.94 cnf(matrix-4363, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7726), _u7732)) | ~hBOOL(hAPP(_u7734, _u7726)) | hBOOL(hAPP(_u7734, skolem109(_u7734, _u7732))) )).
% 27.68/27.94 cnf(matrix-4364, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7728), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7733))) | ~hBOOL(hAPP(_u7735, _u7728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem110(_u7735, _u7733)), _u7733)) )).
% 27.68/27.94 cnf(matrix-4365, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7728), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7733))) | ~hBOOL(hAPP(_u7735, _u7728)) | hBOOL(hAPP(_u7735, skolem110(_u7735, _u7733))) )).
% 27.68/27.94 cnf(matrix-4366, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7737), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7742))) | hBOOL(hAPP(_u7744, _u7737)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem111(_u7744, _u7742)), _u7742)) )).
% 27.68/27.94 cnf(matrix-4367, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7737), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7742))) | hBOOL(hAPP(_u7744, _u7737)) | ~hBOOL(hAPP(_u7744, skolem111(_u7744, _u7742))) )).
% 27.68/27.94 cnf(matrix-4368, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7739), _u7743)) | hBOOL(hAPP(_u7745, _u7739)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem112(_u7745, _u7743)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7743))) )).
% 27.68/27.94 cnf(matrix-4369, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7739), _u7743)) | hBOOL(hAPP(_u7745, _u7739)) | ~hBOOL(hAPP(_u7745, skolem112(_u7745, _u7743))) )).
% 27.68/27.94 cnf(matrix-4370, plain, ( ~class_Orderings_Olinorder(_u7746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7746), _u7747), _u7748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7746), _u7749), _u7750)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7746, _u7747), _u7748) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7746, _u7749), _u7750)) | ( _u7747 = _u7749) )).
% 27.68/27.94 cnf(matrix-4371, plain, ( ~class_Orderings_Olinorder(_u7746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7746), _u7747), _u7748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7746), _u7749), _u7750)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7746, _u7747), _u7748) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7746, _u7749), _u7750)) | ( _u7748 = _u7750) )).
% 27.68/27.94 cnf(matrix-4372, plain, ( ~class_Orderings_Olinorder(_u7746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7746), _u7747), _u7748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7746), _u7749), _u7750)) | ( _u7747 != _u7749) | ( _u7748 != _u7750) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7746, _u7747), _u7748) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7746, _u7749), _u7750)) )).
% 27.68/27.94 cnf(matrix-4373, plain, ( ~class_Orderings_Olinorder(_u7751) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7751, _u7752), _u7753) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7751, _u7754), _u7755)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7751), _u7752), _u7753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7751), _u7754), _u7755)) | ( _u7752 = _u7754) )).
% 27.68/27.94 cnf(matrix-4374, plain, ( ~class_Orderings_Olinorder(_u7756) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7756, _u7757), _u7758) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7756, _u7759), _u7760)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7756), _u7757), _u7758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7756), _u7759), _u7760)) | ( _u7758 = _u7760) )).
% 27.68/27.94 cnf(matrix-4375, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7761), hAPP(c_Nat_OSuc, _u7762)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7761, _u7762)) )).
% 27.68/27.94 cnf(matrix-4376, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7763) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7763)) )).
% 27.68/27.94 cnf(matrix-4377, plain, ( ~class_Orderings_Olinorder(_u7764) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7764, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7764, _u7765), _u7766)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7764, _u7767), _u7768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7764), _u7766), _u7765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7764), _u7767), _u7765)) )).
% 27.68/27.94 cnf(matrix-4378, plain, ( ~class_Orderings_Olinorder(_u7764) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7764, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7764, _u7765), _u7766)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7764, _u7767), _u7768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7764), _u7766), _u7765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7764), _u7766), _u7768)) )).
% 27.68/27.94 cnf(matrix-4379, plain, ( ~class_Groups_Ocomm__monoid__add(_u7769) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7769), _u7770), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7771)), hAPP(c_Nat_OSuc, _u7772))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7769), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7769, tc_Nat_Onat), _u7770), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7771), _u7772))) )).
% 27.68/27.94 cnf(matrix-4380, plain, ( ~class_Groups_Ocomm__monoid__add(_u7773) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7773), _u7774), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7775), _u7776)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7777), _u7776))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7773), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7773, tc_Nat_Onat), _u7774), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u7776))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7775), _u7777))) )).
% 27.68/27.94 cnf(matrix-4381, plain, ( ~class_Orderings_Olinorder(_u7778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7778), _u7779), _u7780)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7778, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7778, _u7779), _u7781)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7778, _u7779), _u7780)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7778, _u7780), _u7781)) )).
% 27.68/27.94 cnf(matrix-4382, plain, ( ~class_Groups_Ocomm__monoid__add(_u7782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7783), _u7784)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7784), _u7785)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7782), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7782), _u7786), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7783), _u7784))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7782), _u7786), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7784), _u7785))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7782), _u7786), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7783), _u7785))) )).
% 27.68/27.94 cnf(matrix-4383, plain, ( ~class_Groups_Oab__group__add(_u7787) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7788), _u7789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7789), _u7790)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7787), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7787), _u7791), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7788), _u7790))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7787), _u7791), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7788), _u7789))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7787), _u7791), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7789), _u7790))) )).
% 27.68/27.94 cnf(matrix-4384, plain, ( ~class_Groups_Ocomm__monoid__add(_u7792) | ( hAPP(_u7793, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u7792)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7792), _u7793), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7794)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7792), _u7793), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7794))) )).
% 27.68/27.94 cnf(matrix-4385, plain, ( ~class_Groups_Ocomm__monoid__add(_u7795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7796), _u7797)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7795), _u7798), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7796), _u7797)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7795), hAPP(_u7798, _u7796)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7795), _u7798), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7796)), _u7797)))) )).
% 27.68/27.94 cnf(matrix-4386, plain, ( ~class_Groups_Ocomm__monoid__add(_u7799) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7800), _u7801)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7799), _u7802), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7801), hAPP(c_Nat_OSuc, _u7800))) = c_Groups_Ozero__class_Ozero(_u7799)) )).
% 27.68/27.94 cnf(matrix-4387, plain, ( ~class_Groups_Ocomm__monoid__add(_u7799) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7800), _u7801)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7799), _u7802), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7801), hAPP(c_Nat_OSuc, _u7800))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7799), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7799), _u7802), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7801), _u7800))), hAPP(_u7802, _u7800))) )).
% 27.68/27.94 cnf(matrix-4388, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7808), _u7805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7808), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7805), _u7806))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem113(_u7808, _u7807, _u7806, _u7805)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7806))) )).
% 27.68/27.94 cnf(matrix-4389, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7808), _u7805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7808), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7805), _u7806))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem114(_u7808, _u7807, _u7806, _u7805)), _u7807)) )).
% 27.68/27.94 cnf(matrix-4390, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7808), _u7805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7808), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7805), _u7806))) | ( _u7805 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem114(_u7808, _u7807, _u7806, _u7805)), skolem113(_u7808, _u7807, _u7806, _u7805))) )).
% 27.68/27.94 cnf(matrix-4391, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7811), _u7814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7811), _u7812)), _u7814)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem115(_u7814, _u7813, _u7812, _u7811)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7812))) )).
% 27.68/27.94 cnf(matrix-4392, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7811), _u7814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7811), _u7812)), _u7814)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem116(_u7814, _u7813, _u7812, _u7811)), _u7813)) )).
% 27.68/27.94 cnf(matrix-4393, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7811), _u7814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7811), _u7812)), _u7814)) | ( _u7811 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem116(_u7814, _u7813, _u7812, _u7811)), skolem115(_u7814, _u7813, _u7812, _u7811))) )).
% 27.68/27.94 cnf(matrix-4394, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem121(_u7822, _u7821)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | hBOOL(hAPP(_u7822, skolem117(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, skolem119(_u7822, _u7821))) )).
% 27.68/27.94 cnf(matrix-4395, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem121(_u7822, _u7821)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | hBOOL(hAPP(_u7822, skolem117(_u7822, _u7821))) | hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem119(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem120(_u7822, _u7821)), _u7821)))) )).
% 27.68/27.94 cnf(matrix-4396, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(_u7822, skolem121(_u7822, _u7821))) | hBOOL(hAPP(_u7822, skolem117(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, skolem119(_u7822, _u7821))) )).
% 27.68/27.94 cnf(matrix-4397, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(_u7822, skolem121(_u7822, _u7821))) | hBOOL(hAPP(_u7822, skolem117(_u7822, _u7821))) | hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem119(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem120(_u7822, _u7821)), _u7821)))) )).
% 27.68/27.94 cnf(matrix-4398, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem121(_u7822, _u7821)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | ~hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem118(_u7822, _u7821)), _u7821)))) | ~hBOOL(hAPP(_u7822, skolem119(_u7822, _u7821))) )).
% 27.68/27.94 cnf(matrix-4399, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem121(_u7822, _u7821)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | ~hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem118(_u7822, _u7821)), _u7821)))) | hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem119(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem120(_u7822, _u7821)), _u7821)))) )).
% 27.68/27.94 cnf(matrix-4400, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(_u7822, skolem121(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem118(_u7822, _u7821)), _u7821)))) | ~hBOOL(hAPP(_u7822, skolem119(_u7822, _u7821))) )).
% 27.68/27.94 cnf(matrix-4401, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ~hBOOL(hAPP(_u7822, _u7817)) | hBOOL(hAPP(_u7822, skolem121(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem118(_u7822, _u7821)), _u7821)))) | hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem119(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem120(_u7822, _u7821)), _u7821)))) )).
% 27.68/27.94 cnf(matrix-4402, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7819), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | ~hBOOL(hAPP(_u7822, _u7819)) | hBOOL(hAPP(_u7822, skolem122(_u7822, _u7821))) | hBOOL(hAPP(_u7822, skolem117(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, skolem119(_u7822, _u7821))) )).
% 27.68/27.94 cnf(matrix-4403, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7819), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | ~hBOOL(hAPP(_u7822, _u7819)) | hBOOL(hAPP(_u7822, skolem122(_u7822, _u7821))) | hBOOL(hAPP(_u7822, skolem117(_u7822, _u7821))) | hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem119(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem120(_u7822, _u7821)), _u7821)))) )).
% 27.68/27.94 cnf(matrix-4404, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7819), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | ~hBOOL(hAPP(_u7822, _u7819)) | hBOOL(hAPP(_u7822, skolem122(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem118(_u7822, _u7821)), _u7821)))) | ~hBOOL(hAPP(_u7822, skolem119(_u7822, _u7821))) )).
% 27.68/27.94 cnf(matrix-4405, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7819), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7821))) | ~hBOOL(hAPP(_u7822, _u7819)) | hBOOL(hAPP(_u7822, skolem122(_u7822, _u7821))) | ~hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem117(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem118(_u7822, _u7821)), _u7821)))) | hBOOL(hAPP(_u7822, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem119(_u7822, _u7821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem120(_u7822, _u7821)), _u7821)))) )).
% 27.68/27.94 cnf(matrix-4406, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7829), _u7832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7829), _u7830)), _u7832)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem123(_u7832, _u7831, _u7830, _u7829)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7830))) )).
% 27.68/27.94 cnf(matrix-4407, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7829), _u7832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7829), _u7830)), _u7832)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem124(_u7832, _u7831, _u7830, _u7829)), _u7831)) )).
% 27.68/27.94 cnf(matrix-4408, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7829), _u7832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7829), _u7830)), _u7832)) | ( _u7829 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem124(_u7832, _u7831, _u7830, _u7829)), skolem123(_u7832, _u7831, _u7830, _u7829))) )).
% 27.68/27.94 cnf(matrix-4409, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7833), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7834), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7833, _u7834)) )).
% 27.68/27.94 cnf(matrix-4410, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7840), _u7837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7840), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7837), _u7838))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem125(_u7840, _u7839, _u7838, _u7837)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7838))) )).
% 27.68/27.94 cnf(matrix-4411, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7840), _u7837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7840), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7837), _u7838))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem126(_u7840, _u7839, _u7838, _u7837)), _u7839)) )).
% 27.68/27.94 cnf(matrix-4412, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7840), _u7837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7840), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7837), _u7838))) | ( _u7837 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem126(_u7840, _u7839, _u7838, _u7837)), skolem125(_u7840, _u7839, _u7838, _u7837))) )).
% 27.68/27.94 cnf(matrix-4413, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), _u7845)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7843), _u7847))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7843), _u7845)), _u7847))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem127(_u7847, _u7846, _u7845, _u7844, _u7843)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7845))) )).
% 27.68/27.94 cnf(matrix-4414, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), _u7845)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7843), _u7847))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7843), _u7845)), _u7847))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem128(_u7847, _u7846, _u7845, _u7844, _u7843)), _u7846)) )).
% 27.68/27.94 cnf(matrix-4415, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), _u7845)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7843), _u7847))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7843), _u7845)), _u7847))) | ( _u7843 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem128(_u7847, _u7846, _u7845, _u7844, _u7843)), skolem127(_u7847, _u7846, _u7845, _u7844, _u7843))) )).
% 27.68/27.94 cnf(matrix-4416, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), _u7852)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7850), _u7854))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7850), _u7852)), _u7854))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem129(_u7854, _u7853, _u7852, _u7851, _u7850)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7852))) )).
% 27.68/27.94 cnf(matrix-4417, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), _u7852)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7850), _u7854))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7850), _u7852)), _u7854))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem130(_u7854, _u7853, _u7852, _u7851, _u7850)), _u7853)) )).
% 27.68/27.94 cnf(matrix-4418, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), _u7852)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7850), _u7854))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7850), _u7852)), _u7854))) | ( _u7850 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem130(_u7854, _u7853, _u7852, _u7851, _u7850)), skolem129(_u7854, _u7853, _u7852, _u7851, _u7850))) )).
% 27.68/27.94 cnf(matrix-4419, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), _u7859)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7857), _u7861))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7857), _u7859)), _u7861))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem131(_u7861, _u7860, _u7859, _u7858, _u7857)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7859))) )).
% 27.68/27.94 cnf(matrix-4420, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), _u7859)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7857), _u7861))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7857), _u7859)), _u7861))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem132(_u7861, _u7860, _u7859, _u7858, _u7857)), _u7860)) )).
% 27.68/27.94 cnf(matrix-4421, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), _u7859)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7857), _u7861))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7858), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7857), _u7859)), _u7861))) | ( _u7857 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem132(_u7861, _u7860, _u7859, _u7858, _u7857)), skolem131(_u7861, _u7860, _u7859, _u7858, _u7857))) )).
% 27.68/27.94 cnf(matrix-4422, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), _u7866)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7868))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7866)), _u7868))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem133(_u7868, _u7867, _u7866, _u7865, _u7864)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7866))) )).
% 27.68/27.94 cnf(matrix-4423, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), _u7866)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7868))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7866)), _u7868))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem134(_u7868, _u7867, _u7866, _u7865, _u7864)), _u7867)) )).
% 27.68/27.94 cnf(matrix-4424, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), _u7866)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7868))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7866)), _u7868))) | ( _u7864 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem134(_u7868, _u7867, _u7866, _u7865, _u7864)), skolem133(_u7868, _u7867, _u7866, _u7865, _u7864))) )).
% 27.68/27.94 cnf(matrix-4425, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7869)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7869) = 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, _u7869)))) )).
% 27.68/27.94 cnf(matrix-4426, plain, ( ~class_Groups_Ocomm__monoid__add(_u7870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7871), _u7872)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7870), _u7873), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7871, _u7872)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7870), hAPP(_u7873, _u7871)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7870), _u7873), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7871, _u7872)))) )).
% 27.68/27.94 cnf(matrix-4427, plain, ( ~class_Orderings_Oorder(_u7876) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7876, 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)))), _u7877) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem135(_u7877, _u7876)), skolem136(_u7877, _u7876))) )).
% 27.68/27.94 cnf(matrix-4428, plain, ( ~class_Orderings_Oorder(_u7876) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7876, 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)))), _u7877) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem136(_u7877, _u7876)), skolem135(_u7877, _u7876))) )).
% 27.68/27.94 cnf(matrix-4429, plain, ( ~class_Orderings_Oorder(_u7876) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7876, 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)))), _u7877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7876), hAPP(_u7877, skolem135(_u7877, _u7876))), hAPP(_u7877, skolem136(_u7877, _u7876)))) )).
% 27.68/27.94 cnf(matrix-4430, plain, ( ~class_Groups_Oordered__ab__group__add(_u7878) | ( hAPP(c_Set_Oimage(_u7878, _u7878, c_Groups_Ouminus__class_Ouminus(_u7878)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7878, _u7879, _u7880)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7878, hAPP(c_Groups_Ouminus__class_Ouminus(_u7878), _u7880)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7878), _u7879))) )).
% 27.68/27.94 cnf(matrix-4431, plain, ( ~class_Groups_Oordered__ab__group__add(_u7881) | ( hAPP(c_Set_Oimage(_u7881, _u7881, c_Groups_Ouminus__class_Ouminus(_u7881)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7881, _u7882), _u7883)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7881, hAPP(c_Groups_Ouminus__class_Ouminus(_u7881), _u7883), hAPP(c_Groups_Ouminus__class_Ouminus(_u7881), _u7882))) )).
% 27.68/27.94 cnf(matrix-4432, plain, ( ( hAPP(c_Set_Oimage(_u7884, _u7885, _u7886), hAPP(c_Set_Oimage(_u7887, _u7884, _u7888), _u7889)) = hAPP(c_Set_Oimage(_u7887, _u7885, hAPP(hAPP(c_COMBB(_u7884, _u7885, _u7887), _u7886), _u7888)), _u7889)) )).
% 27.68/27.94 cnf(matrix-4433, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7892), _u7894)) | 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)), _u7892)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7894))) )).
% 27.68/27.94 cnf(matrix-4434, 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)), _u7893)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7895))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7893), _u7895)) )).
% 27.68/27.94 cnf(matrix-4435, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7898), _u7900)) | 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)), _u7898)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7900))) )).
% 27.68/27.94 cnf(matrix-4436, 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)), _u7899)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7901))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7899), _u7901)) )).
% 27.68/27.94 cnf(matrix-4437, plain, ( ( _u7904 != _u7906) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7904) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7906)) )).
% 27.68/27.94 cnf(matrix-4438, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7905) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7907)) | ( _u7905 = _u7907) )).
% 27.68/27.94 cnf(matrix-4439, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7915, tc_HOL_Obool)), _u7917), hAPP(c_Set_Oimage(_u7919, _u7915, _u7921), _u7923))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7919, tc_HOL_Obool)), skolem137(_u7923, _u7921, _u7919, _u7917, _u7915)), _u7923)) )).
% 27.68/27.94 cnf(matrix-4440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7915, tc_HOL_Obool)), _u7917), hAPP(c_Set_Oimage(_u7919, _u7915, _u7921), _u7923))) | ( _u7917 = hAPP(c_Set_Oimage(_u7919, _u7915, _u7921), skolem137(_u7923, _u7921, _u7919, _u7917, _u7915))) )).
% 27.68/27.94 cnf(matrix-4441, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7920, tc_HOL_Obool)), _u7909), _u7924)) | ( _u7918 != hAPP(c_Set_Oimage(_u7920, _u7916, _u7922), _u7909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7916, tc_HOL_Obool)), _u7918), hAPP(c_Set_Oimage(_u7920, _u7916, _u7922), _u7924))) )).
% 27.68/27.94 cnf(matrix-4442, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7925, tc_HOL_Obool)), _u7926), _u7927)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7928, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7925, _u7928, _u7929), _u7926)), hAPP(c_Set_Oimage(_u7925, _u7928, _u7929), _u7927))) )).
% 27.68/27.94 cnf(matrix-4443, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7930, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7930, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7931, _u7930, _u7932), _u7933)), hAPP(c_Set_Oimage(_u7931, _u7930, _u7932), _u7934))), hAPP(c_Set_Oimage(_u7931, _u7930, _u7932), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7931, tc_HOL_Obool)), _u7933), _u7934)))) )).
% 27.68/27.94 cnf(matrix-4444, plain, ( ~class_Groups_Oordered__ab__group__add(_u7935) | ( hAPP(c_Set_Oimage(_u7935, _u7935, c_Groups_Ouminus__class_Ouminus(_u7935)), c_SetInterval_Oord__class_OatLeastAtMost(_u7935, _u7936, _u7937)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7935, hAPP(c_Groups_Ouminus__class_Ouminus(_u7935), _u7937), hAPP(c_Groups_Ouminus__class_Ouminus(_u7935), _u7936))) )).
% 27.68/27.94 cnf(matrix-4445, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7938), _u7939) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7938, _u7939)) )).
% 27.68/27.94 cnf(matrix-4446, plain, ( ~class_Groups_Ocomm__monoid__add(_u7940) | ~class_Groups_Ocomm__monoid__mult(_u7940) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7940), _u7941), _u7942) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u7940), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7940, tc_Int_Oint), _u7941), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7942))) )).
% 27.68/27.94 cnf(matrix-4447, plain, ( ~c_Nat__Transfer_Ois__nat(_u7943) | ~c_Nat__Transfer_Ois__nat(_u7944) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7943, _u7944) = 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, _u7943), hAPP(c_Int_Onat, _u7944)))) )).
% 27.68/27.94 cnf(matrix-4448, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7946, tc_Nat_Onat), _u7947), _u7948) != hAPP(c_Nat_OSuc, _u7949)) | hBOOL(hAPP(hAPP(c_member(_u7946), skolem138(_u7949, _u7948, _u7947, _u7946)), _u7948)) )).
% 27.68/27.94 cnf(matrix-4449, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7946, tc_Nat_Onat), _u7947), _u7948) != hAPP(c_Nat_OSuc, _u7949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u7947, skolem138(_u7949, _u7948, _u7947, _u7946)))) )).
% 27.68/27.94 cnf(matrix-4450, plain, ( ~class_Groups_Ocomm__monoid__add(_u7951) | ~class_Orderings_Oord(_u7952) | ( _u7953 != _u7954) | ( _u7955 != _u7956) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7952, _u7951), _u7957), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7952, _u7953), _u7955)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7952, _u7951), _u7958), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7952, _u7954), _u7956))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7952), _u7954), skolem139(_u7958, _u7957, _u7956, _u7955, _u7954, _u7953, _u7952, _u7951))) )).
% 27.68/27.94 cnf(matrix-4451, plain, ( ~class_Groups_Ocomm__monoid__add(_u7951) | ~class_Orderings_Oord(_u7952) | ( _u7953 != _u7954) | ( _u7955 != _u7956) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7952, _u7951), _u7957), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7952, _u7953), _u7955)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7952, _u7951), _u7958), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7952, _u7954), _u7956))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7952), skolem139(_u7958, _u7957, _u7956, _u7955, _u7954, _u7953, _u7952, _u7951)), _u7956)) )).
% 27.68/27.94 cnf(matrix-4452, plain, ( ~class_Groups_Ocomm__monoid__add(_u7951) | ~class_Orderings_Oord(_u7952) | ( _u7953 != _u7954) | ( _u7955 != _u7956) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7952, _u7951), _u7957), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7952, _u7953), _u7955)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7952, _u7951), _u7958), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7952, _u7954), _u7956))) | ( hAPP(_u7957, skolem139(_u7958, _u7957, _u7956, _u7955, _u7954, _u7953, _u7952, _u7951)) != hAPP(_u7958, skolem139(_u7958, _u7957, _u7956, _u7955, _u7954, _u7953, _u7952, _u7951))) )).
% 27.68/27.94 cnf(matrix-4453, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7959, _u7960)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7960), _u7959)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 27.68/27.94 cnf(matrix-4454, plain, ( ~class_Groups_Oordered__ab__group__add(_u7961) | ( hAPP(c_Set_Oimage(_u7961, _u7961, c_Groups_Ouminus__class_Ouminus(_u7961)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7961), _u7962)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u7961), hAPP(c_Groups_Ouminus__class_Ouminus(_u7961), _u7962))) )).
% 27.68/27.94 cnf(matrix-4455, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7963, _u7964)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7964), _u7963))) )).
% 27.68/27.94 cnf(matrix-4456, plain, ( ~class_Orderings_Olinorder(_u7965) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7965), _u7966) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7965), _u7967)) | ( _u7966 = _u7967) )).
% 27.68/27.94 cnf(matrix-4457, plain, ( ~class_Orderings_Olinorder(_u7965) | ( _u7966 != _u7967) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7965), _u7966) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7965), _u7967)) )).
% 27.68/27.94 cnf(matrix-4458, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7968), _u7969)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7968)), hAPP(c_Nat_OSuc, _u7969))) )).
% 27.68/27.94 cnf(matrix-4459, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7970, _u7971)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7970), hAPP(c_Nat_OSuc, _u7971))) )).
% 27.68/27.94 cnf(matrix-4460, 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)), _u7972)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7973), _u7974)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7973), _u7972)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7974), _u7972))) )).
% 27.68/27.94 cnf(matrix-4461, 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)), _u7975)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7976, _u7977)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7976), _u7975), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7977), _u7975))) )).
% 27.68/27.94 cnf(matrix-4462, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7978), _u7979) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7978, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u7978), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7979)) )).
% 27.68/27.94 cnf(matrix-4463, 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)), _u7980)) = _u7980) )).
% 27.68/27.94 cnf(matrix-4464, plain, ( ~class_Orderings_Olinorder(_u7981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7981, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7981), _u7982)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7981), _u7983))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7981), _u7983), _u7982)) )).
% 27.68/27.94 cnf(matrix-4465, plain, ( ~class_Orderings_Olinorder(_u7981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7981), _u7983), _u7982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7981, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7981), _u7982)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7981), _u7983))) )).
% 27.68/27.94 cnf(matrix-4466, plain, ( ~class_Rings_Osemiring__1(_u7984) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7985, _u7984), hAPP(c_COMBK(_u7984, _u7985), _u7986)), _u7987) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7984), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7984), hAPP(c_Finite__Set_Ocard(_u7985), _u7987))), _u7986)) )).
% 27.68/27.94 cnf(matrix-4467, 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)), _u7988)) = hAPP(c_Int_Onat, _u7988)) )).
% 27.68/27.94 cnf(matrix-4468, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7989), _u7990)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7990), _u7989))) )).
% 27.68/27.94 cnf(matrix-4469, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7991, _u7992) = 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), _u7991), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7992)))) )).
% 27.68/27.94 cnf(matrix-4470, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7993), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7994) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7993, _u7994)) )).
% 27.68/27.94 cnf(matrix-4471, 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)), _u7995)), 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), _u7996), _u7995))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7995), _u7996)) )).
% 27.68/27.94 cnf(matrix-4472, plain, ( ~class_Groups_Oordered__ab__group__add(_u7997) | ( hAPP(c_Set_Oimage(_u7997, _u7997, c_Groups_Ouminus__class_Ouminus(_u7997)), hAPP(c_SetInterval_Oord__class_OlessThan(_u7997), _u7998)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u7997), hAPP(c_Groups_Ouminus__class_Ouminus(_u7997), _u7998))) )).
% 27.68/27.94 cnf(matrix-4473, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u7999, _u8000)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8000), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7999), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 27.68/27.94 cnf(matrix-4474, plain, ( ~class_Groups_Ocomm__monoid__add(_u8001) | ~class_Groups_Ocomm__monoid__mult(_u8001) | ~c_Nat__Transfer_Onat__set(_u8002) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8001), _u8003), _u8002) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8001), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8001, tc_Nat_Onat), _u8003), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8002))) )).
% 27.68/27.94 cnf(matrix-4475, plain, ( ~c_Nat__Transfer_Onat__set(_u8004) | ~c_Nat__Transfer_Onat__set(_u8005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8004), _u8005)) | 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), _u8004)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8005))) )).
% 27.68/27.94 cnf(matrix-4476, plain, ( ~c_Nat__Transfer_Onat__set(_u8004) | ~c_Nat__Transfer_Onat__set(_u8005) | ~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), _u8004)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8005))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8004), _u8005)) )).
% 27.68/27.94 cnf(matrix-4477, plain, ( ~c_Nat__Transfer_Onat__set(_u8006) | ~c_Nat__Transfer_Onat__set(_u8007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8006), _u8007)) | 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), _u8006)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8007))) )).
% 27.68/27.94 cnf(matrix-4478, plain, ( ~c_Nat__Transfer_Onat__set(_u8006) | ~c_Nat__Transfer_Onat__set(_u8007) | ~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), _u8006)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8007))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8006), _u8007)) )).
% 27.68/27.94 cnf(matrix-4479, plain, ( ~c_Nat__Transfer_Onat__set(_u8008) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u8008) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8008))) )).
% 27.68/27.94 cnf(matrix-4480, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8009)) = _u8009) )).
% 27.68/27.94 cnf(matrix-4481, plain, ( ~c_Nat__Transfer_Onat__set(_u8010) | ~c_Nat__Transfer_Onat__set(_u8011) | ( _u8010 != _u8011) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8010) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8011)) )).
% 27.68/27.94 cnf(matrix-4482, plain, ( ~c_Nat__Transfer_Onat__set(_u8010) | ~c_Nat__Transfer_Onat__set(_u8011) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8010) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8011)) | ( _u8010 = _u8011) )).
% 27.68/27.94 cnf(matrix-4483, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8012), _u8013)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8013), _u8012)) )).
% 27.68/27.94 cnf(matrix-4484, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u8014, _u8015)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8015), _u8014)) )).
% 27.68/27.94 cnf(matrix-4485, plain, ( ~c_Nat__Transfer_Onat__set(_u8019) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8016), _u8019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8016)) )).
% 27.68/27.94 cnf(matrix-4486, plain, ( c_Nat__Transfer_Onat__set(_u8020) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem140(_u8020)), _u8020)) )).
% 27.68/27.94 cnf(matrix-4487, plain, ( c_Nat__Transfer_Onat__set(_u8020) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem140(_u8020))) )).
% 27.68/27.94 cnf(matrix-4488, plain, ( ~class_Groups_Oordered__ab__group__add(_u8021) | ( hAPP(c_Set_Oimage(_u8021, _u8021, c_Groups_Ouminus__class_Ouminus(_u8021)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8021, _u8022, _u8023)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8021, hAPP(c_Groups_Ouminus__class_Ouminus(_u8021), _u8023), hAPP(c_Groups_Ouminus__class_Ouminus(_u8021), _u8022))) )).
% 27.68/27.94 cnf(matrix-4489, 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)), _u8024)) )).
% 27.68/27.94 cnf(matrix-4490, plain, ( ~c_Nat__Transfer_Ois__nat(_u8025) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8025, _u8026)) )).
% 27.68/27.94 cnf(matrix-4491, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8027, _u8028)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8028)), _u8027)) )).
% 27.68/27.94 cnf(matrix-4492, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8029) = 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)), _u8029))) )).
% 27.68/27.94 cnf(matrix-4493, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8030), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8031), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8031), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8030))))) | ( _u8030 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8031), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8031), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8030)))) )).
% 27.68/27.94 cnf(matrix-4494, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8032)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8032, _u8033)) )).
% 27.68/27.94 cnf(matrix-4495, plain, ( ~c_Nat__Transfer_Onat__set(_u8034) | ( 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), _u8034)) = _u8034) )).
% 27.68/27.94 cnf(matrix-4496, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8035), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8036) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u8035, _u8036)) )).
% 27.68/27.94 cnf(matrix-4497, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8037) = 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), _u8037)))) )).
% 27.68/27.94 cnf(matrix-4498, plain, ( ~class_Groups_Ocomm__monoid__add(_u8039) | ~class_Groups_Ocomm__monoid__mult(_u8039) | ( _u8040 != _u8041) | ~c_Nat__Transfer_Onat__set(_u8041) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8039), _u8042), _u8040) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8039), _u8043), _u8041)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem141(_u8043, _u8042, _u8041, _u8040, _u8039))) )).
% 27.68/27.94 cnf(matrix-4499, plain, ( ~class_Groups_Ocomm__monoid__add(_u8039) | ~class_Groups_Ocomm__monoid__mult(_u8039) | ( _u8040 != _u8041) | ~c_Nat__Transfer_Onat__set(_u8041) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8039), _u8042), _u8040) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8039), _u8043), _u8041)) | ( hAPP(_u8042, skolem141(_u8043, _u8042, _u8041, _u8040, _u8039)) != hAPP(_u8043, skolem141(_u8043, _u8042, _u8041, _u8040, _u8039))) )).
% 27.68/27.94 cnf(matrix-4500, plain, ( ~class_Orderings_Olinorder(_u8044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8044), _u8045), _u8046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8044), _u8046), _u8047)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8044, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8044, _u8045, _u8046)), c_SetInterval_Oord__class_OatLeastAtMost(_u8044, _u8046, _u8047)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8044, _u8045, _u8047)) )).
% 27.68/27.94 cnf(matrix-4501, plain, ( ~class_Orderings_Olinorder(_u8048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8048), _u8049), _u8050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8048), _u8050), _u8051)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8048, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8048, _u8049, _u8050)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8048, _u8050, _u8051)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8048, _u8049), _u8051)) )).
% 27.68/27.94 cnf(matrix-4502, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8055, tc_HOL_Obool)), _u8054), _u8052), _u8053)) | ~hBOOL(hAPP(_u8052, _u8053)) )).
% 27.68/27.94 cnf(matrix-4503, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8055, tc_HOL_Obool)), _u8054), _u8052), _u8053)) | ~hBOOL(hAPP(_u8054, _u8053)) )).
% 27.68/27.94 cnf(matrix-4504, plain, ( hBOOL(hAPP(_u8057, _u8059)) | hBOOL(hAPP(_u8058, _u8059)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8056, tc_HOL_Obool)), _u8057), _u8058), _u8059)) )).
% 27.68/27.94 cnf(matrix-4505, plain, ( ~class_Orderings_Olinorder(_u8060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8060), _u8061), _u8062)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8060, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8060), _u8061)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8060, _u8061, _u8062)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8060), _u8062)) )).
% 27.68/27.94 cnf(matrix-4506, plain, ( ( hAPP(c_Set_Oimage(_u8063, _u8064, _u8065), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8063, tc_HOL_Obool)), _u8066), _u8067)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8064, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8063, _u8064, _u8065), _u8066)), hAPP(c_Set_Oimage(_u8063, _u8064, _u8065), _u8067))) )).
% 27.68/27.94 cnf(matrix-4507, plain, ( ~c_Nat__Transfer_Onat__set(_u8068) | ~c_Nat__Transfer_Onat__set(_u8069) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8068), _u8069)) )).
% 27.68/27.94 cnf(matrix-4508, plain, ( ~hBOOL(hAPP(_u8070, _u8071)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8072, tc_HOL_Obool)), _u8073), _u8070), _u8071)) )).
% 27.68/27.94 cnf(matrix-4509, plain, ( ~hBOOL(hAPP(_u8074, _u8075)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8076, tc_HOL_Obool)), _u8074), _u8077), _u8075)) )).
% 27.68/27.94 cnf(matrix-4510, plain, ( hBOOL(hAPP(hAPP(c_member(_u8088), skolem142(_u8094, _u8092, _u8090, _u8088)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8088, tc_HOL_Obool)), _u8090), _u8092))) | ~hBOOL(hAPP(hAPP(c_member(_u8088), _u8079), _u8090)) | hBOOL(hAPP(_u8094, _u8079)) )).
% 27.68/27.94 cnf(matrix-4511, plain, ( hBOOL(hAPP(hAPP(c_member(_u8088), skolem142(_u8094, _u8092, _u8090, _u8088)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8088, tc_HOL_Obool)), _u8090), _u8092))) | ~hBOOL(hAPP(hAPP(c_member(_u8088), _u8080), _u8092)) | hBOOL(hAPP(_u8094, _u8080)) )).
% 27.68/27.94 cnf(matrix-4512, plain, ( ~hBOOL(hAPP(_u8094, skolem142(_u8094, _u8092, _u8090, _u8088))) | ~hBOOL(hAPP(hAPP(c_member(_u8088), _u8079), _u8090)) | hBOOL(hAPP(_u8094, _u8079)) )).
% 27.68/27.94 cnf(matrix-4513, plain, ( ~hBOOL(hAPP(_u8094, skolem142(_u8094, _u8092, _u8090, _u8088))) | ~hBOOL(hAPP(hAPP(c_member(_u8088), _u8080), _u8092)) | hBOOL(hAPP(_u8094, _u8080)) )).
% 27.68/27.94 cnf(matrix-4514, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8089), _u8083), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8089, tc_HOL_Obool)), _u8091), _u8093))) | hBOOL(hAPP(_u8095, _u8083)) | hBOOL(hAPP(hAPP(c_member(_u8089), skolem143(_u8095, _u8093, _u8091, _u8089)), _u8091)) | hBOOL(hAPP(hAPP(c_member(_u8089), skolem144(_u8095, _u8093, _u8091, _u8089)), _u8093)) )).
% 27.68/27.94 cnf(matrix-4515, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8089), _u8083), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8089, tc_HOL_Obool)), _u8091), _u8093))) | hBOOL(hAPP(_u8095, _u8083)) | hBOOL(hAPP(hAPP(c_member(_u8089), skolem143(_u8095, _u8093, _u8091, _u8089)), _u8091)) | ~hBOOL(hAPP(_u8095, skolem144(_u8095, _u8093, _u8091, _u8089))) )).
% 27.68/27.94 cnf(matrix-4516, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8089), _u8083), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8089, tc_HOL_Obool)), _u8091), _u8093))) | hBOOL(hAPP(_u8095, _u8083)) | ~hBOOL(hAPP(_u8095, skolem143(_u8095, _u8093, _u8091, _u8089))) | hBOOL(hAPP(hAPP(c_member(_u8089), skolem144(_u8095, _u8093, _u8091, _u8089)), _u8093)) )).
% 27.68/27.94 cnf(matrix-4517, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8089), _u8083), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8089, tc_HOL_Obool)), _u8091), _u8093))) | hBOOL(hAPP(_u8095, _u8083)) | ~hBOOL(hAPP(_u8095, skolem143(_u8095, _u8093, _u8091, _u8089))) | ~hBOOL(hAPP(_u8095, skolem144(_u8095, _u8093, _u8091, _u8089))) )).
% 27.68/27.94 cnf(matrix-4518, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8106), _u8096), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8106, tc_HOL_Obool)), _u8108), _u8110))) | ~hBOOL(hAPP(_u8112, _u8096)) | hBOOL(hAPP(hAPP(c_member(_u8106), skolem145(_u8112, _u8110, _u8108, _u8106)), _u8108)) | hBOOL(hAPP(hAPP(c_member(_u8106), skolem146(_u8112, _u8110, _u8108, _u8106)), _u8110)) )).
% 27.68/27.94 cnf(matrix-4519, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8106), _u8096), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8106, tc_HOL_Obool)), _u8108), _u8110))) | ~hBOOL(hAPP(_u8112, _u8096)) | hBOOL(hAPP(hAPP(c_member(_u8106), skolem145(_u8112, _u8110, _u8108, _u8106)), _u8108)) | hBOOL(hAPP(_u8112, skolem146(_u8112, _u8110, _u8108, _u8106))) )).
% 27.68/27.94 cnf(matrix-4520, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8106), _u8096), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8106, tc_HOL_Obool)), _u8108), _u8110))) | ~hBOOL(hAPP(_u8112, _u8096)) | hBOOL(hAPP(_u8112, skolem145(_u8112, _u8110, _u8108, _u8106))) | hBOOL(hAPP(hAPP(c_member(_u8106), skolem146(_u8112, _u8110, _u8108, _u8106)), _u8110)) )).
% 27.68/27.94 cnf(matrix-4521, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8106), _u8096), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8106, tc_HOL_Obool)), _u8108), _u8110))) | ~hBOOL(hAPP(_u8112, _u8096)) | hBOOL(hAPP(_u8112, skolem145(_u8112, _u8110, _u8108, _u8106))) | hBOOL(hAPP(_u8112, skolem146(_u8112, _u8110, _u8108, _u8106))) )).
% 27.68/27.94 cnf(matrix-4522, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8107), _u8099), _u8109)) | ~hBOOL(hAPP(_u8113, _u8099)) | hBOOL(hAPP(hAPP(c_member(_u8107), skolem147(_u8113, _u8111, _u8109, _u8107)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8107, tc_HOL_Obool)), _u8109), _u8111))) )).
% 27.68/27.94 cnf(matrix-4523, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8107), _u8099), _u8109)) | ~hBOOL(hAPP(_u8113, _u8099)) | hBOOL(hAPP(_u8113, skolem147(_u8113, _u8111, _u8109, _u8107))) )).
% 27.68/27.94 cnf(matrix-4524, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8107), _u8100), _u8111)) | ~hBOOL(hAPP(_u8113, _u8100)) | hBOOL(hAPP(hAPP(c_member(_u8107), skolem147(_u8113, _u8111, _u8109, _u8107)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8107, tc_HOL_Obool)), _u8109), _u8111))) )).
% 27.68/27.94 cnf(matrix-4525, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8107), _u8100), _u8111)) | ~hBOOL(hAPP(_u8113, _u8100)) | hBOOL(hAPP(_u8113, skolem147(_u8113, _u8111, _u8109, _u8107))) )).
% 27.68/27.94 cnf(matrix-4526, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8114, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8114, tc_HOL_Obool)), _u8115), _u8116)), _u8117) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8114, tc_HOL_Obool)), _u8115), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8114, tc_HOL_Obool)), _u8116), _u8117))) )).
% 27.68/27.94 cnf(matrix-4527, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8118, tc_HOL_Obool)), _u8119), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8118, tc_HOL_Obool)), _u8120), _u8121)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8118, tc_HOL_Obool)), _u8120), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8118, tc_HOL_Obool)), _u8119), _u8121))) )).
% 27.68/27.94 cnf(matrix-4528, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8122, tc_HOL_Obool)), _u8123), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8122, tc_HOL_Obool)), _u8123), _u8124)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8122, tc_HOL_Obool)), _u8123), _u8124)) )).
% 27.68/27.94 cnf(matrix-4529, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8125, tc_HOL_Obool)), _u8126), _u8127) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8125, tc_HOL_Obool)), _u8127), _u8126)) )).
% 27.68/27.94 cnf(matrix-4530, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8128, tc_HOL_Obool)), _u8129), _u8129) = _u8129) )).
% 27.68/27.94 cnf(matrix-4531, plain, ( ~class_Lattices_Olattice(_u8130) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8131, _u8130)), _u8132), _u8133), _u8134) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8130), hAPP(_u8132, _u8134)), hAPP(_u8133, _u8134))) )).
% 27.68/27.94 cnf(matrix-4532, plain, ( ~class_Lattices_Osemilattice__sup(_u8135) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8135), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8135), _u8136), _u8137)), _u8138) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8135), _u8136), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8135), _u8137), _u8138))) )).
% 27.68/27.94 cnf(matrix-4533, plain, ( ~class_Lattices_Olattice(_u8139) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8139), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8139), _u8140), _u8141)), _u8142) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8139), _u8140), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8139), _u8141), _u8142))) )).
% 27.68/27.94 cnf(matrix-4534, plain, ( ~class_Lattices_Osemilattice__sup(_u8143) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8143), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8143), _u8144), _u8145)), _u8146) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8143), _u8144), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8143), _u8145), _u8146))) )).
% 27.68/27.94 cnf(matrix-4535, plain, ( ~class_Lattices_Osemilattice__sup(_u8147) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8147), _u8148), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8147), _u8149), _u8150)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8147), _u8149), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8147), _u8148), _u8150))) )).
% 27.68/27.94 cnf(matrix-4536, plain, ( ~class_Lattices_Olattice(_u8151) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8151), _u8152), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8151), _u8153), _u8154)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8151), _u8153), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8151), _u8152), _u8154))) )).
% 27.68/27.94 cnf(matrix-4537, plain, ( ~class_Lattices_Osemilattice__sup(_u8155) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8155), _u8156), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8155), _u8157), _u8158)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8155), _u8157), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8155), _u8156), _u8158))) )).
% 27.68/27.94 cnf(matrix-4538, plain, ( ~class_Lattices_Osemilattice__sup(_u8159) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8159), _u8160), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8159), _u8160), _u8161)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8159), _u8160), _u8161)) )).
% 27.68/27.94 cnf(matrix-4539, plain, ( ~class_Lattices_Olattice(_u8162) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8162), _u8163), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8162), _u8163), _u8164)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8162), _u8163), _u8164)) )).
% 27.68/27.94 cnf(matrix-4540, plain, ( ~class_Lattices_Osemilattice__sup(_u8165) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8165), _u8166), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8165), _u8166), _u8167)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8165), _u8166), _u8167)) )).
% 27.68/27.94 cnf(matrix-4541, plain, ( ~class_Lattices_Osemilattice__sup(_u8168) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8168), _u8169), _u8170) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8168), _u8170), _u8169)) )).
% 27.68/27.94 cnf(matrix-4542, plain, ( ~class_Lattices_Olattice(_u8171) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8171), _u8172), _u8173) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8171), _u8173), _u8172)) )).
% 27.68/27.94 cnf(matrix-4543, plain, ( ~class_Lattices_Osemilattice__sup(_u8174) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8174), _u8175), _u8176) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8174), _u8176), _u8175)) )).
% 27.68/27.94 cnf(matrix-4544, plain, ( ~class_Lattices_Osemilattice__sup(_u8177) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8177), _u8178), _u8178) = _u8178) )).
% 27.68/27.94 cnf(matrix-4545, plain, ( ~class_Lattices_Osemilattice__sup(_u8179) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8179), _u8180), _u8180) = _u8180) )).
% 27.68/27.94 cnf(matrix-4546, plain, ( ~class_Lattices_Olattice(_u8181) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8182, _u8181)), _u8183), _u8184), _u8185) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8181), hAPP(_u8183, _u8185)), hAPP(_u8184, _u8185))) )).
% 27.68/27.94 cnf(matrix-4547, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8186, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8186, tc_HOL_Obool)), _u8187), _u8188)), _u8189) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8186, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8186, tc_HOL_Obool)), _u8187), _u8189)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8186, tc_HOL_Obool)), _u8188), _u8189))) )).
% 27.68/27.94 cnf(matrix-4548, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8190, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8190, tc_HOL_Obool)), _u8191), _u8192)), _u8192) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8190, tc_HOL_Obool)), _u8191), _u8192)) )).
% 27.68/27.94 cnf(matrix-4549, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8193, tc_HOL_Obool)), _u8194), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8193, tc_HOL_Obool)), _u8195), _u8194)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8193, tc_HOL_Obool)), _u8194), _u8195)) )).
% 27.68/27.94 cnf(matrix-4550, plain, ( ~class_Lattices_Olattice(_u8196) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8196), _u8197), _u8197) = _u8197) )).
% 27.68/27.94 cnf(matrix-4551, plain, ( ~class_Lattices_Osemilattice__sup(_u8198) | ~class_Orderings_Olinorder(_u8198) | ( c_Lattices_Osemilattice__sup__class_Osup(_u8198) = c_Orderings_Oord__class_Omax(_u8198)) )).
% 27.68/27.94 cnf(matrix-4552, plain, ( ~class_Orderings_Olinorder(_u8199) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u8199), _u8200) != hAPP(c_SetInterval_Oord__class_OatMost(_u8199), _u8201)) | ( _u8200 = _u8201) )).
% 27.68/27.94 cnf(matrix-4553, plain, ( ~class_Orderings_Olinorder(_u8199) | ( _u8200 != _u8201) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u8199), _u8200) = hAPP(c_SetInterval_Oord__class_OatMost(_u8199), _u8201)) )).
% 27.68/27.94 cnf(matrix-4554, plain, ( ~class_Lattices_Osemilattice__sup(_u8202) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8202), _u8203), _u8204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8202), _u8203), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8202), _u8204), _u8205))) )).
% 27.68/27.94 cnf(matrix-4555, plain, ( ~class_Lattices_Osemilattice__sup(_u8206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8206), _u8207), _u8208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8206), _u8207), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8206), _u8209), _u8208))) )).
% 27.68/27.94 cnf(matrix-4556, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8210, tc_HOL_Obool)), _u8211), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8210, tc_HOL_Obool)), _u8211), _u8212))) )).
% 27.68/27.94 cnf(matrix-4557, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8213, tc_HOL_Obool)), _u8214), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8213, tc_HOL_Obool)), _u8215), _u8214))) )).
% 27.68/27.94 cnf(matrix-4558, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8219, tc_HOL_Obool)), _u8221), _u8223)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8219, tc_HOL_Obool)), _u8221), _u8223) = _u8223) )).
% 27.68/27.94 cnf(matrix-4559, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8220, tc_HOL_Obool)), _u8222), _u8224) != _u8224) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8220, tc_HOL_Obool)), _u8222), _u8224)) )).
% 27.68/27.94 cnf(matrix-4560, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8225, tc_HOL_Obool)), _u8226), _u8227)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8225, tc_HOL_Obool)), _u8226), _u8227) = _u8227) )).
% 27.68/27.94 cnf(matrix-4561, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8228, tc_HOL_Obool)), _u8229), _u8230)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8228, tc_HOL_Obool)), _u8230), _u8229) = _u8230) )).
% 27.68/27.94 cnf(matrix-4562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8231, tc_HOL_Obool)), _u8232), _u8233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8231, tc_HOL_Obool)), _u8234), _u8233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8231, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8231, tc_HOL_Obool)), _u8232), _u8234)), _u8233)) )).
% 27.68/27.94 cnf(matrix-4563, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8235, tc_HOL_Obool)), _u8236), _u8237)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8235, tc_HOL_Obool)), _u8238), _u8239)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8235, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8235, tc_HOL_Obool)), _u8236), _u8238)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8235, tc_HOL_Obool)), _u8237), _u8239))) )).
% 27.68/27.94 cnf(matrix-4564, plain, ( ~class_Lattices_Osemilattice__sup(_u8240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8240), _u8241), _u8242)), _u8243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), _u8243)) )).
% 27.68/27.94 cnf(matrix-4565, plain, ( ~class_Lattices_Osemilattice__sup(_u8240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8240), _u8241), _u8242)), _u8243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8242), _u8243)) )).
% 27.68/27.94 cnf(matrix-4566, plain, ( ~class_Lattices_Osemilattice__sup(_u8244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8244), _u8245), _u8246)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8244), _u8247), _u8248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8244), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8244), _u8245), _u8247)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8244), _u8246), _u8248))) )).
% 27.68/27.94 cnf(matrix-4567, plain, ( ~class_Lattices_Osemilattice__sup(_u8249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8249), _u8250), _u8251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8249), _u8252), _u8251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8249), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8249), _u8250), _u8252)), _u8251)) )).
% 27.68/27.94 cnf(matrix-4568, plain, ( ~class_Lattices_Osemilattice__sup(_u8253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), _u8254), _u8255)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), _u8256), _u8255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8253), _u8254), _u8256)), _u8255)) )).
% 27.68/27.94 cnf(matrix-4569, plain, ( ~class_Lattices_Osemilattice__sup(_u8257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8257), _u8258), _u8259)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8257), _u8259), _u8258) = _u8259) )).
% 27.68/27.94 cnf(matrix-4570, plain, ( ~class_Lattices_Osemilattice__sup(_u8260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8260), _u8261), _u8262)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8260), _u8261), _u8262) = _u8262) )).
% 27.68/27.94 cnf(matrix-4571, plain, ( ~class_Lattices_Osemilattice__sup(_u8263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8263), _u8264), _u8265)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8263), _u8264), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8263), _u8266), _u8265))) )).
% 27.68/27.94 cnf(matrix-4572, plain, ( ~class_Lattices_Osemilattice__sup(_u8267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8267), _u8268), _u8269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8267), _u8268), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8267), _u8269), _u8270))) )).
% 27.68/27.94 cnf(matrix-4573, plain, ( ~class_Lattices_Osemilattice__sup(_u8271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8271), _u8272), _u8273)), _u8274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), _u8272), _u8274)) )).
% 27.68/27.94 cnf(matrix-4574, plain, ( ~class_Lattices_Osemilattice__sup(_u8271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8271), _u8272), _u8273)), _u8274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), _u8273), _u8274)) )).
% 27.68/27.94 cnf(matrix-4575, plain, ( ~class_Lattices_Osemilattice__sup(_u8271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), _u8272), _u8274)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), _u8273), _u8274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8271), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8271), _u8272), _u8273)), _u8274)) )).
% 27.68/27.94 cnf(matrix-4576, plain, ( ~class_Lattices_Osemilattice__sup(_u8275) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8275), _u8276), _u8277)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8275), _u8276), _u8277) = _u8277) )).
% 27.68/27.94 cnf(matrix-4577, plain, ( ~class_Lattices_Osemilattice__sup(_u8275) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8275), _u8276), _u8277) != _u8277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8275), _u8276), _u8277)) )).
% 27.68/27.94 cnf(matrix-4578, plain, ( ~class_Lattices_Osemilattice__sup(_u8278) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8278), _u8279), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8278), _u8280), _u8279))) )).
% 27.68/27.94 cnf(matrix-4579, plain, ( ~class_Lattices_Olattice(_u8281) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8281), _u8282), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8281), _u8283), _u8282))) )).
% 27.68/27.94 cnf(matrix-4580, plain, ( ~class_Lattices_Osemilattice__sup(_u8284) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8284), _u8285), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8284), _u8285), _u8286))) )).
% 27.68/27.94 cnf(matrix-4581, plain, ( ~class_Lattices_Olattice(_u8287) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8287), _u8288), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8287), _u8288), _u8289))) )).
% 27.68/27.94 cnf(matrix-4582, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8290)) = hAPP(c_Nat_OSuc, _u8290)) )).
% 27.68/27.94 cnf(matrix-4583, plain, ( ~class_Orderings_Olinorder(_u8291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8291), _u8292), _u8293)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8291, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8291), _u8292)), c_SetInterval_Oord__class_OatLeastAtMost(_u8291, _u8292, _u8293)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8291), _u8293)) )).
% 27.68/27.94 cnf(matrix-4584, plain, ( ~class_Orderings_Olinorder(_u8294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8294), _u8295), _u8296)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8294, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8294), _u8295)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8294, _u8295, _u8296)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8294), _u8296)) )).
% 27.68/27.94 cnf(matrix-4585, plain, ( ~class_Orderings_Olinorder(_u8297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8297), _u8298), _u8299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8297), _u8299), _u8300)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8297, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8297, _u8298), _u8299)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8297, _u8299), _u8300)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8297, _u8298), _u8300)) )).
% 27.68/27.94 cnf(matrix-4586, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8305, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8305, tc_HOL_Obool)), _u8307), _u8309)), _u8311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8305, tc_HOL_Obool)), _u8307), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8305, tc_HOL_Obool)), _u8309), _u8311))) )).
% 27.68/27.94 cnf(matrix-4587, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8306, tc_HOL_Obool)), _u8308), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8306, tc_HOL_Obool)), _u8310), _u8312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8306, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8306, tc_HOL_Obool)), _u8308), _u8310)), _u8312)) )).
% 27.68/27.94 cnf(matrix-4588, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8313, tc_HOL_Obool)), _u8314), _u8315)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8313, tc_HOL_Obool)), _u8314), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8313, tc_HOL_Obool)), _u8315), _u8314)) = _u8315) )).
% 27.68/27.94 cnf(matrix-4589, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8316), _u8317) = 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)), _u8316)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8317)))) )).
% 27.68/27.94 cnf(matrix-4590, plain, ( ~class_Orderings_Olinorder(_u8318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8318), _u8319), _u8320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8318), _u8320), _u8321)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8318, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8318, _u8319, _u8320)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8318, _u8320, _u8321)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8318, _u8319, _u8321)) )).
% 27.68/27.94 cnf(matrix-4591, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8322, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8322, tc_HOL_Obool)), _u8323), _u8324)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8322, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8322, tc_HOL_Obool)), _u8323)), _u8324)) )).
% 27.68/27.94 cnf(matrix-4592, plain, ( ~c_Nat__Transfer_Onat__set(_u8325) | ~c_Nat__Transfer_Onat__set(_u8326) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8325), _u8326) = 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), _u8325)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8326)))) )).
% 27.68/27.94 cnf(matrix-4593, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8327) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8327)) )).
% 27.68/27.94 cnf(matrix-4594, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u8328, _u8329)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8329), hAPP(c_Nat_OSuc, _u8328))) )).
% 27.68/27.94 cnf(matrix-4595, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8330)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8330)) )).
% 27.68/27.94 cnf(matrix-4596, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8331)), _u8332) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u8331, _u8332)) )).
% 27.68/27.94 cnf(matrix-4597, plain, ( ~class_Orderings_Oorder(_u8333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8333, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8333), _u8334)), hAPP(c_SetInterval_Oord__class_OatMost(_u8333), _u8335))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8333), _u8334), _u8335)) )).
% 27.68/27.94 cnf(matrix-4598, plain, ( ~class_Orderings_Oorder(_u8333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8333), _u8334), _u8335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8333, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8333), _u8334)), hAPP(c_SetInterval_Oord__class_OatMost(_u8333), _u8335))) )).
% 27.68/27.94 cnf(matrix-4599, plain, ( ~class_Orderings_Olinorder(_u8336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8336), _u8337), _u8338)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8336), _u8338), _u8339)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8336, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8336, _u8337), _u8338)), c_SetInterval_Oord__class_OatLeastAtMost(_u8336, _u8338, _u8339)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8336, _u8337, _u8339)) )).
% 27.68/27.94 cnf(matrix-4600, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8340), _u8341)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8340), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8341), _u8342)) = 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, _u8340), _u8341)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8341), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8341), _u8342)))) )).
% 27.68/27.94 cnf(matrix-4601, plain, ( ~class_Orderings_Olinorder(_u8343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8343), _u8344), _u8345)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8343, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8343), _u8344)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8343, _u8344), _u8345)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8343), _u8345)) )).
% 27.68/27.94 cnf(matrix-4602, plain, ( ~class_Orderings_Olinorder(_u8346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8346), _u8347), _u8348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8346), _u8348), _u8349)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8346, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8346, _u8347, _u8348)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8346, _u8348, _u8349)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8346, _u8347, _u8349)) )).
% 27.68/27.94 cnf(matrix-4603, plain, ( ~class_Orderings_Olinorder(_u8350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8350), _u8351), _u8352)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8350, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8350, _u8351, _u8352)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8350), _u8352)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8350), _u8351)) )).
% 27.68/27.94 cnf(matrix-4604, plain, ( ~class_Orderings_Olinorder(_u8353) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8353, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8353), _u8354)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8353), _u8354)) )).
% 27.68/27.94 cnf(matrix-4605, plain, ( ~class_Orderings_Olinorder(_u8355) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8355, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8355), _u8356)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8355), _u8356)) )).
% 27.68/27.94 cnf(matrix-4606, plain, ( ~class_Orderings_Olinorder(_u8357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8357), _u8358), _u8359)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8357), _u8359), _u8360)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8357, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8357, _u8358, _u8359)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8357, _u8359), _u8360)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8357, _u8358, _u8360)) )).
% 27.68/27.94 cnf(matrix-4607, plain, ( ~class_Orderings_Olinorder(_u8361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8361), _u8362), _u8363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8361), _u8363), _u8364)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8361, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8361, _u8362, _u8363)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8361, _u8363, _u8364)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8361, _u8362, _u8364)) )).
% 27.68/27.94 cnf(matrix-4608, plain, ( ~class_Groups_Ocomm__monoid__add(_u8365) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8365), _u8366), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8367))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8365), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8365), _u8366), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8367))), hAPP(_u8366, hAPP(c_Nat_OSuc, _u8367)))) )).
% 27.68/27.94 cnf(matrix-4609, plain, ( ~class_Orderings_Olinorder(_u8368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8368), _u8369), _u8370)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8368, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8368, _u8369, _u8370)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8368), _u8370)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8368), _u8369)) )).
% 27.68/27.94 cnf(matrix-4610, plain, ( ~class_Orderings_Olinorder(_u8371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8371), _u8372), _u8373)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8371, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8371, _u8372, _u8373)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8371), _u8373)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8371), _u8372)) )).
% 27.68/27.94 cnf(matrix-4611, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8374, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8375)), _u8376) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8374, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8374, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u8375)), _u8376)), hAPP(_u8376, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.68/27.94 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8383)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385), _u8381)) )).
% 27.68/27.94 cnf(matrix-4613, 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8383)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8383), _u8387)) )).
% 27.68/27.94 cnf(matrix-4614, 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8383)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385), _u8381)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8383), _u8387)) )).
% 27.68/27.94 cnf(matrix-4615, 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8383)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385), _u8381)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8387), _u8383)) )).
% 27.68/27.94 cnf(matrix-4616, 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8383)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8385)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8383), _u8387)) )).
% 27.68/27.94 cnf(matrix-4617, 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8383)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8381), _u8385)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8387), _u8383)) )).
% 27.68/27.94 cnf(matrix-4618, 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), _u8381, _u8383)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385, _u8387))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8385), _u8387)) )).
% 27.68/27.94 cnf(matrix-4619, 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), _u8382, _u8384)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386, _u8388))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386), _u8388)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8382), _u8384)) )).
% 27.68/27.94 cnf(matrix-4620, 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), _u8382, _u8384)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386, _u8388))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386), _u8388)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386), _u8382)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8384), _u8388)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8382), _u8386)) )).
% 27.68/27.94 cnf(matrix-4621, 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), _u8382, _u8384)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386, _u8388))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386), _u8388)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8386), _u8382)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8384), _u8388)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8388), _u8384)) )).
% 27.68/27.94 cnf(matrix-4622, plain, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4623, plain, ( ~class_Orderings_Olinorder(_u8389) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u8389), _u8390) != hAPP(c_SetInterval_Oord__class_OatLeast(_u8389), _u8391)) | ( _u8390 = _u8391) )).
% 27.68/27.94 cnf(matrix-4624, plain, ( ~class_Orderings_Olinorder(_u8389) | ( _u8390 != _u8391) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u8389), _u8390) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8389), _u8391)) )).
% 27.68/27.94 cnf(matrix-4625, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8399, tc_fun(_u8401, tc_HOL_Obool)), _u8403), _u8405), _u8407)) | hBOOL(hAPP(hAPP(c_member(_u8399), skolem148(_u8407, _u8405, _u8403, _u8401, _u8399)), _u8403)) )).
% 27.68/27.94 cnf(matrix-4626, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8399, tc_fun(_u8401, tc_HOL_Obool)), _u8403), _u8405), _u8407)) | hBOOL(hAPP(hAPP(_u8405, skolem148(_u8407, _u8405, _u8403, _u8401, _u8399)), _u8407)) )).
% 27.68/27.94 cnf(matrix-4627, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8400), _u8393), _u8404)) | ~hBOOL(hAPP(hAPP(_u8406, _u8393), _u8408)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8400, tc_fun(_u8402, tc_HOL_Obool)), _u8404), _u8406), _u8408)) )).
% 27.68/27.94 cnf(matrix-4628, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8409)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u8409)) )).
% 27.68/27.94 cnf(matrix-4629, plain, ( ~class_Orderings_Oorder(_u8410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8410, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8410), _u8411)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8410), _u8412))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8410), _u8412), _u8411)) )).
% 27.68/27.94 cnf(matrix-4630, plain, ( ~class_Orderings_Oorder(_u8410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8410), _u8412), _u8411)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8410, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8410), _u8411)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8410), _u8412))) )).
% 27.68/27.94 cnf(matrix-4631, plain, ( ~class_Orderings_Olinorder(_u8413) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8413, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8413), _u8414)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8413), _u8414)) )).
% 27.68/27.94 cnf(matrix-4632, plain, ( ~class_Orderings_Olinorder(_u8415) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8415, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8415), _u8416)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8415), _u8416)) )).
% 27.68/27.94 cnf(matrix-4633, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8417, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8418)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8417, tc_HOL_Obool), tc_Nat_Onat), _u8419), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u8420))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8417, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8420, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8418), _u8420))), _u8419)) )).
% 27.68/27.94 cnf(matrix-4634, plain, ( ~class_Orderings_Olinorder(_u8421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8421), _u8422), _u8423)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8421, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8421, _u8422), _u8423)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8421), _u8423)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8421), _u8422)) )).
% 27.68/27.94 cnf(matrix-4635, 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), _u8428, _u8430)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8432, _u8434))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8428), _u8430)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8432), _u8428)) )).
% 27.68/27.94 cnf(matrix-4636, 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), _u8428, _u8430)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8432, _u8434))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8428), _u8430)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8430), _u8434)) )).
% 27.68/27.94 cnf(matrix-4637, 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), _u8429, _u8431)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8433, _u8435))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8429), _u8431)) )).
% 27.68/27.94 cnf(matrix-4638, 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), _u8429, _u8431)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8433, _u8435))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8433), _u8429)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8431), _u8435)) )).
% 27.68/27.94 cnf(matrix-4639, plain, ( ~class_Groups_Oordered__ab__group__add(_u8436) | ( hAPP(c_Set_Oimage(_u8436, _u8436, c_Groups_Ouminus__class_Ouminus(_u8436)), hAPP(c_SetInterval_Oord__class_OatMost(_u8436), _u8437)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8436), hAPP(c_Groups_Ouminus__class_Ouminus(_u8436), _u8437))) )).
% 27.68/27.94 cnf(matrix-4640, plain, ( ~class_Groups_Oordered__ab__group__add(_u8438) | ( hAPP(c_Set_Oimage(_u8438, _u8438, c_Groups_Ouminus__class_Ouminus(_u8438)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8438), _u8439)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8438), hAPP(c_Groups_Ouminus__class_Ouminus(_u8438), _u8439))) )).
% 27.68/27.94 cnf(matrix-4641, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8441, tc_HOL_Obool)), _u8442), _u8443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8440), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8441, _u8440), _u8442), _u8444)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8441, _u8440), _u8443), _u8444))) )).
% 27.68/27.94 cnf(matrix-4642, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8445, tc_fun(_u8446, tc_HOL_Obool)), _u8447), hAPP(hAPP(c_COMBC(_u8445, tc_fun(_u8446, tc_HOL_Obool), tc_fun(_u8446, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8446, tc_HOL_Obool), tc_fun(tc_fun(_u8446, tc_HOL_Obool), tc_fun(_u8446, tc_HOL_Obool)), _u8445), c_Groups_Ominus__class_Ominus(tc_fun(_u8446, tc_HOL_Obool))), _u8448)), _u8449)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8446, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8445, tc_fun(_u8446, tc_HOL_Obool)), _u8447), _u8448)), _u8449)) )).
% 27.68/27.94 cnf(matrix-4643, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8450, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8451, tc_fun(_u8450, tc_HOL_Obool)), _u8452), _u8453)), _u8454) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8451, tc_fun(_u8450, tc_HOL_Obool)), _u8452), hAPP(hAPP(c_COMBC(_u8451, tc_fun(_u8450, tc_HOL_Obool), tc_fun(_u8450, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8450, tc_HOL_Obool), tc_fun(tc_fun(_u8450, tc_HOL_Obool), tc_fun(_u8450, tc_HOL_Obool)), _u8451), c_Groups_Ominus__class_Ominus(tc_fun(_u8450, tc_HOL_Obool))), _u8453)), _u8454))) )).
% 27.68/27.94 cnf(matrix-4644, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8455) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8456, tc_fun(_u8457, _u8455)), _u8458), _u8459), _u8460) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8456, _u8455), _u8458), hAPP(hAPP(c_COMBC(_u8456, _u8457, _u8455), _u8459), _u8460))) )).
% 27.68/27.94 cnf(matrix-4645, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8474), _u8463), _u8476)) | ~hBOOL(hAPP(hAPP(c_member(_u8472), _u8462), hAPP(_u8478, _u8463))) | hBOOL(hAPP(_u8480, _u8462)) | hBOOL(hAPP(hAPP(c_member(_u8472), skolem149(_u8480, _u8478, _u8476, _u8474, _u8472)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8474, tc_fun(_u8472, tc_HOL_Obool)), _u8476), _u8478))) )).
% 27.68/27.94 cnf(matrix-4646, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8474), _u8463), _u8476)) | ~hBOOL(hAPP(hAPP(c_member(_u8472), _u8462), hAPP(_u8478, _u8463))) | hBOOL(hAPP(_u8480, _u8462)) | ~hBOOL(hAPP(_u8480, skolem149(_u8480, _u8478, _u8476, _u8474, _u8472))) )).
% 27.68/27.94 cnf(matrix-4647, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8473), _u8466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8475, tc_fun(_u8473, tc_HOL_Obool)), _u8477), _u8479))) | hBOOL(hAPP(_u8481, _u8466)) | hBOOL(hAPP(hAPP(c_member(_u8475), skolem150(_u8481, _u8479, _u8477, _u8475, _u8473)), _u8477)) )).
% 27.68/27.94 cnf(matrix-4648, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8473), _u8466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8475, tc_fun(_u8473, tc_HOL_Obool)), _u8477), _u8479))) | hBOOL(hAPP(_u8481, _u8466)) | hBOOL(hAPP(hAPP(c_member(_u8473), skolem151(_u8481, _u8479, _u8477, _u8475, _u8473)), hAPP(_u8479, skolem150(_u8481, _u8479, _u8477, _u8475, _u8473)))) )).
% 27.68/27.94 cnf(matrix-4649, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8473), _u8466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8475, tc_fun(_u8473, tc_HOL_Obool)), _u8477), _u8479))) | hBOOL(hAPP(_u8481, _u8466)) | ~hBOOL(hAPP(_u8481, skolem151(_u8481, _u8479, _u8477, _u8475, _u8473))) )).
% 27.68/27.94 cnf(matrix-4650, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8482) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8483, _u8482), _u8484), hAPP(hAPP(c_COMBB(tc_fun(_u8485, _u8482), _u8482, _u8483), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8485, _u8482), _u8486)), _u8487)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8485, _u8482), _u8486), hAPP(hAPP(c_COMBB(tc_fun(_u8483, _u8482), _u8482, _u8485), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8483, _u8482), _u8484)), hAPP(c_COMBC(_u8483, _u8485, _u8482), _u8487)))) )).
% 27.68/27.94 cnf(matrix-4651, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8488, tc_fun(_u8489, tc_HOL_Obool)), _u8490), hAPP(hAPP(c_COMBC(_u8488, tc_fun(_u8491, tc_fun(_u8489, tc_HOL_Obool)), tc_fun(_u8489, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8491, tc_HOL_Obool), tc_fun(tc_fun(_u8491, tc_fun(_u8489, tc_HOL_Obool)), tc_fun(_u8489, tc_HOL_Obool)), _u8488), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8491, tc_fun(_u8489, tc_HOL_Obool))), _u8492)), _u8493)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8491, tc_fun(_u8489, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8488, tc_fun(_u8491, tc_HOL_Obool)), _u8490), _u8492)), _u8493)) )).
% 27.68/27.94 cnf(matrix-4652, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8494, tc_fun(_u8495, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8496, tc_fun(_u8494, tc_HOL_Obool)), _u8497), _u8498)), _u8499) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8496, tc_fun(_u8495, tc_HOL_Obool)), _u8497), hAPP(hAPP(c_COMBC(_u8496, tc_fun(_u8494, tc_fun(_u8495, tc_HOL_Obool)), tc_fun(_u8495, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8494, tc_HOL_Obool), tc_fun(tc_fun(_u8494, tc_fun(_u8495, tc_HOL_Obool)), tc_fun(_u8495, tc_HOL_Obool)), _u8496), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8494, tc_fun(_u8495, tc_HOL_Obool))), _u8498)), _u8499))) )).
% 27.68/27.94 cnf(matrix-4653, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8500, tc_fun(_u8501, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8502, tc_fun(_u8500, tc_HOL_Obool)), _u8503), _u8504)), _u8505) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8502, tc_fun(_u8501, tc_HOL_Obool)), _u8503), hAPP(hAPP(c_COMBC(_u8502, tc_fun(_u8500, tc_fun(_u8501, tc_HOL_Obool)), tc_fun(_u8501, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8500, tc_HOL_Obool), tc_fun(tc_fun(_u8500, tc_fun(_u8501, tc_HOL_Obool)), tc_fun(_u8501, tc_HOL_Obool)), _u8502), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8500, tc_fun(_u8501, tc_HOL_Obool))), _u8504)), _u8505))) )).
% 27.68/27.94 cnf(matrix-4654, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8509, _u8508), _u8510), _u8511)), _u8512)) | ~hBOOL(hAPP(hAPP(c_member(_u8509), _u8506), _u8510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8508), hAPP(_u8511, _u8506)), _u8512)) )).
% 27.68/27.94 cnf(matrix-4655, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8508) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8509, _u8508), _u8510), _u8511)), _u8512)) | hBOOL(hAPP(hAPP(c_member(_u8509), skolem152(_u8512, _u8511, _u8510, _u8509, _u8508)), _u8510)) )).
% 27.68/27.94 cnf(matrix-4656, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8508) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8509, _u8508), _u8510), _u8511)), _u8512)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8508), hAPP(_u8511, skolem152(_u8512, _u8511, _u8510, _u8509, _u8508))), _u8512)) )).
% 27.68/27.94 cnf(matrix-4657, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8515) | ~class_Orderings_Olinorder(_u8515) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8515), _u8516), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8517, _u8515), _u8518), _u8519))) | hBOOL(hAPP(hAPP(c_member(_u8517), skolem153(_u8519, _u8518, _u8517, _u8516, _u8515)), _u8518)) )).
% 27.68/27.94 cnf(matrix-4658, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8515) | ~class_Orderings_Olinorder(_u8515) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8515), _u8516), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8517, _u8515), _u8518), _u8519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8515), _u8516), hAPP(_u8519, skolem153(_u8519, _u8518, _u8517, _u8516, _u8515)))) )).
% 27.68/27.94 cnf(matrix-4659, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8515) | ~class_Orderings_Olinorder(_u8515) | ~hBOOL(hAPP(hAPP(c_member(_u8517), _u8514), _u8518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8515), _u8516), hAPP(_u8519, _u8514))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8515), _u8516), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8517, _u8515), _u8518), _u8519))) )).
% 27.68/27.94 cnf(matrix-4660, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8527, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8529, tc_fun(_u8527, tc_HOL_Obool)), _u8531), _u8533)), _u8535)) | ~hBOOL(hAPP(hAPP(c_member(_u8529), _u8520), _u8531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8527, tc_HOL_Obool)), hAPP(_u8533, _u8520)), _u8535)) )).
% 27.68/27.94 cnf(matrix-4661, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8528, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8530, tc_fun(_u8528, tc_HOL_Obool)), _u8532), _u8534)), _u8536)) | hBOOL(hAPP(hAPP(c_member(_u8530), skolem154(_u8536, _u8534, _u8532, _u8530, _u8528)), _u8532)) )).
% 27.68/27.94 cnf(matrix-4662, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8528, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8530, tc_fun(_u8528, tc_HOL_Obool)), _u8532), _u8534)), _u8536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8528, tc_HOL_Obool)), hAPP(_u8534, skolem154(_u8536, _u8534, _u8532, _u8530, _u8528))), _u8536)) )).
% 27.68/27.94 cnf(matrix-4663, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8537, tc_fun(_u8538, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8539, _u8537, _u8540), _u8541)), _u8542) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8539, tc_fun(_u8538, tc_HOL_Obool)), _u8541), hAPP(hAPP(c_COMBB(_u8537, tc_fun(_u8538, tc_HOL_Obool), _u8539), _u8542), _u8540))) )).
% 27.68/27.94 cnf(matrix-4664, plain, ( ( hAPP(c_Set_Oimage(_u8543, _u8544, _u8545), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8546, tc_fun(_u8543, tc_HOL_Obool)), _u8547), _u8548)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8546, tc_fun(_u8544, tc_HOL_Obool)), _u8547), hAPP(hAPP(c_COMBB(tc_fun(_u8543, tc_HOL_Obool), tc_fun(_u8544, tc_HOL_Obool), _u8546), c_Set_Oimage(_u8543, _u8544, _u8545)), _u8548))) )).
% 27.68/27.94 cnf(matrix-4665, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8549, tc_fun(_u8550, tc_HOL_Obool)), _u8551), hAPP(hAPP(c_COMBB(_u8552, tc_fun(_u8550, tc_HOL_Obool), _u8549), _u8553), _u8554)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8552, tc_fun(_u8550, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8549, _u8552, _u8554), _u8551)), _u8553)) )).
% 27.68/27.94 cnf(matrix-4666, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8555, tc_fun(_u8556, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8555, tc_HOL_Obool)), _u8557), _u8558)), _u8559) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8556, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8555, tc_fun(_u8556, tc_HOL_Obool)), _u8557), _u8559)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8555, tc_fun(_u8556, tc_HOL_Obool)), _u8558), _u8559))) )).
% 27.68/27.94 cnf(matrix-4667, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8560, tc_fun(_u8561, tc_HOL_Obool)), _u8562), hAPP(hAPP(c_COMBS(_u8560, tc_fun(_u8561, tc_HOL_Obool), tc_fun(_u8561, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8561, tc_HOL_Obool), tc_fun(tc_fun(_u8561, tc_HOL_Obool), tc_fun(_u8561, tc_HOL_Obool)), _u8560), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8561, tc_HOL_Obool))), _u8563)), _u8564)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8561, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8560, tc_fun(_u8561, tc_HOL_Obool)), _u8562), _u8563)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8560, tc_fun(_u8561, tc_HOL_Obool)), _u8562), _u8564))) )).
% 27.68/27.94 cnf(matrix-4668, 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)))) )).
% 27.68/27.94 cnf(matrix-4669, plain, ( ~class_Orderings_Oorder(_u8567) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u8567, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8568) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem155(_u8568, _u8567)), skolem156(_u8568, _u8567))) )).
% 27.68/27.94 cnf(matrix-4670, plain, ( ~class_Orderings_Oorder(_u8567) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u8567, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u8568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8567), hAPP(_u8568, skolem155(_u8568, _u8567))), hAPP(_u8568, skolem156(_u8568, _u8567)))) )).
% 27.68/27.94 cnf(matrix-4671, 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), _u8571), _u8572))) | hBOOL(hAPP(hAPP(_u8573, _u8571), _u8572)) | 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), skolem157(_u8573, _u8572, _u8571)), skolem158(_u8573, _u8572, _u8571)))) )).
% 27.68/27.94 cnf(matrix-4672, 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), _u8571), _u8572))) | hBOOL(hAPP(hAPP(_u8573, _u8571), _u8572)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u8573, _u8572, _u8571)), skolem158(_u8573, _u8572, _u8571))) | hBOOL(hAPP(hAPP(_u8573, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem157(_u8573, _u8572, _u8571)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem158(_u8573, _u8572, _u8571))) )).
% 27.68/27.94 cnf(matrix-4673, 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), _u8571), _u8572))) | hBOOL(hAPP(hAPP(_u8573, _u8571), _u8572)) | ~hBOOL(hAPP(hAPP(_u8573, skolem157(_u8573, _u8572, _u8571)), skolem158(_u8573, _u8572, _u8571))) )).
% 27.68/27.94 cnf(matrix-4674, plain, ( ( hAPP(c_Set_Oimage(_u8574, _u8574, c_COMBI(_u8574)), _u8575) = _u8575) )).
% 27.68/27.94 cnf(matrix-4675, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u8576, tc_HOL_Obool)), _u8577)) )).
% 27.68/27.94 cnf(matrix-4676, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8578, tc_HOL_Obool)), _u8579), c_Orderings_Otop__class_Otop(tc_fun(_u8578, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u8578, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4677, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8580, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8580, tc_HOL_Obool))), _u8581) = c_Orderings_Otop__class_Otop(tc_fun(_u8580, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4678, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8582, tc_HOL_Obool)), _u8583), c_Orderings_Otop__class_Otop(tc_fun(_u8582, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4679, plain, ( ~class_Orderings_Otop(_u8584) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u8585, _u8584)), _u8586) = c_Orderings_Otop__class_Otop(_u8584)) )).
% 27.68/27.94 cnf(matrix-4680, plain, ( ( hAPP(c_Set_Oimage(_u8587, _u8588, hAPP(hAPP(c_COMBB(_u8589, _u8588, _u8587), _u8590), _u8591)), c_Orderings_Otop__class_Otop(tc_fun(_u8587, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u8589, _u8588, _u8590), hAPP(c_Set_Oimage(_u8587, _u8589, _u8591), c_Orderings_Otop__class_Otop(tc_fun(_u8587, tc_HOL_Obool))))) )).
% 27.68/27.94 cnf(matrix-4681, plain, ( ~class_Orderings_Otop(_u8592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8592), _u8593), c_Orderings_Otop__class_Otop(_u8592))) )).
% 27.68/27.94 cnf(matrix-4682, plain, ( ~class_Lattices_Obounded__lattice__top(_u8594) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8594), c_Orderings_Otop__class_Otop(_u8594)), _u8595) = c_Orderings_Otop__class_Otop(_u8594)) )).
% 27.68/27.94 cnf(matrix-4683, plain, ( ~class_Lattices_Obounded__lattice__top(_u8596) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8596), _u8597), c_Orderings_Otop__class_Otop(_u8596)) = c_Orderings_Otop__class_Otop(_u8596)) )).
% 27.68/27.94 cnf(matrix-4684, 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))) )).
% 27.68/27.94 cnf(matrix-4685, 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))) )).
% 27.68/27.94 cnf(matrix-4686, 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))) )).
% 27.68/27.94 cnf(matrix-4687, plain, ( ( hAPP(c_Set_Oimage(_u8598, _u8599, _u8600), c_Orderings_Otop__class_Otop(tc_fun(_u8598, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u8599, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8599, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8599, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8598, _u8599, _u8600), _u8601))), hAPP(c_Set_Oimage(_u8598, _u8599, _u8600), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8598, tc_HOL_Obool)), _u8601)))) )).
% 27.68/27.94 cnf(matrix-4688, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8602, tc_HOL_Obool)), _u8603), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8602, tc_HOL_Obool)), _u8603)) = c_Orderings_Otop__class_Otop(tc_fun(_u8602, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4689, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8604, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8604, tc_HOL_Obool)), _u8605)), _u8605) = c_Orderings_Otop__class_Otop(tc_fun(_u8604, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4690, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8606, tc_HOL_Obool)), _u8607) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8606, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8606, tc_HOL_Obool))), _u8607)) )).
% 27.68/27.94 cnf(matrix-4691, 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))) )).
% 27.68/27.94 cnf(matrix-4692, plain, ( ~class_Lattices_Oboolean__algebra(_u8608) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8608), _u8609), hAPP(c_Groups_Ouminus__class_Ouminus(_u8608), _u8609)) = c_Orderings_Otop__class_Otop(_u8608)) )).
% 27.68/27.94 cnf(matrix-4693, plain, ( ~class_Lattices_Oboolean__algebra(_u8610) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8610), hAPP(c_Groups_Ouminus__class_Ouminus(_u8610), _u8611)), _u8611) = c_Orderings_Otop__class_Otop(_u8610)) )).
% 27.68/27.94 cnf(matrix-4694, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8612, 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(_u8612, tc_HOL_Obool)), tc_fun(_u8612, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u8612, tc_HOL_Obool)), tc_fun(_u8612, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8612, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u8613)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8612, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8613)) )).
% 27.68/27.94 cnf(matrix-4695, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8615, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8615, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem159(_u8618, _u8617, _u8616, _u8615))), _u8616)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8615, 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), skolem159(_u8618, _u8617, _u8616, _u8615)), _u8617))), _u8618))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8615, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8615, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8616)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8615, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8618))) )).
% 27.68/27.94 cnf(matrix-4696, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8620, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem160(_u8623, _u8622, _u8621, _u8620))), _u8621) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8620, 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(_u8623, _u8622, _u8621, _u8620)), _u8622))), _u8623)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8620, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8621) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8620, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8623)) )).
% 27.68/27.94 cnf(matrix-4697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8625, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8625, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem161(_u8627, _u8626, _u8625))), _u8626)), _u8627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8625, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8625, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8626)), _u8627)) )).
% 27.68/27.94 cnf(matrix-4698, 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))) )).
% 27.68/27.94 cnf(matrix-4699, 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)))) )).
% 27.68/27.94 cnf(matrix-4700, plain, ( ~c_Typedef_Otype__definition(_u8628, _u8629, _u8630, _u8631, _u8632) | ( hAPP(c_Set_Oimage(_u8629, _u8628, _u8631), _u8632) = c_Orderings_Otop__class_Otop(tc_fun(_u8628, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4701, plain, ( ~c_Typedef_Otype__definition(_u8633, _u8634, _u8635, _u8636, _u8637) | ( hAPP(c_Set_Oimage(_u8633, _u8634, _u8635), c_Orderings_Otop__class_Otop(tc_fun(_u8633, tc_HOL_Obool))) = _u8637) )).
% 27.68/27.94 cnf(matrix-4702, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8638)) = 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), _u8638)))) )).
% 27.68/27.94 cnf(matrix-4703, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8639), _u8640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8639, tc_HOL_Obool)), _u8640), _u8641)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8639, tc_Nat_Onat), _u8642), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8639, tc_HOL_Obool)), _u8641), _u8640)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8639, tc_Nat_Onat), _u8642), _u8641)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8639, tc_Nat_Onat), _u8642), _u8640))) )).
% 27.68/27.94 cnf(matrix-4704, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8643), _u8644))) )).
% 27.68/27.94 cnf(matrix-4705, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u8645, _u8646))) )).
% 27.68/27.94 cnf(matrix-4706, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8647, _u8648))) )).
% 27.68/27.94 cnf(matrix-4707, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8649))) )).
% 27.68/27.94 cnf(matrix-4708, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8650))) )).
% 27.68/27.94 cnf(matrix-4709, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u8651), _u8652))) )).
% 27.68/27.94 cnf(matrix-4710, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u8653, _u8654))) )).
% 27.68/27.94 cnf(matrix-4711, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u8655, _u8656))) )).
% 27.68/27.94 cnf(matrix-4712, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u8657, _u8658))) )).
% 27.68/27.94 cnf(matrix-4713, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u8659, _u8660))) )).
% 27.68/27.94 cnf(matrix-4714, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8661, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8661), _u8662), _u8663)), _u8664) = hAPP(hAPP(c_Set_Oinsert(_u8661), _u8662), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8661, tc_HOL_Obool)), _u8663), _u8664))) )).
% 27.68/27.94 cnf(matrix-4715, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8665, tc_HOL_Obool)), _u8666), hAPP(hAPP(c_Set_Oinsert(_u8665), _u8667), _u8668)) = hAPP(hAPP(c_Set_Oinsert(_u8665), _u8667), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8665, tc_HOL_Obool)), _u8666), _u8668))) )).
% 27.68/27.94 cnf(matrix-4716, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8674)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8669), _u8674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8669), skolem162(_u8674))) )).
% 27.68/27.94 cnf(matrix-4717, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8675)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem163(_u8675, _u8672)), _u8675)) )).
% 27.68/27.94 cnf(matrix-4718, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem163(_u8675, _u8672)), _u8672)) )).
% 27.68/27.94 cnf(matrix-4719, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8676, tc_HOL_Obool)), _u8677), _u8678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8676, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8676), _u8679), _u8677)), hAPP(hAPP(c_Set_Oinsert(_u8676), _u8679), _u8678))) )).
% 27.68/27.94 cnf(matrix-4720, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8680, tc_HOL_Obool)), _u8681), _u8682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8680, tc_HOL_Obool)), _u8681), hAPP(hAPP(c_Set_Oinsert(_u8680), _u8683), _u8682))) )).
% 27.68/27.94 cnf(matrix-4721, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8684, tc_HOL_Obool)), _u8685), hAPP(hAPP(c_Set_Oinsert(_u8684), _u8686), _u8685))) )).
% 27.68/27.94 cnf(matrix-4722, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8692)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8687), _u8692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8687), skolem164(_u8692))) )).
% 27.68/27.94 cnf(matrix-4723, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8693)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem165(_u8693, _u8690)), _u8693)) )).
% 27.68/27.94 cnf(matrix-4724, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8693)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem165(_u8693, _u8690)), _u8690)) )).
% 27.68/27.94 cnf(matrix-4725, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8694), _u8695), hAPP(hAPP(c_Set_Oinsert(_u8694), _u8695), _u8696)) = hAPP(hAPP(c_Set_Oinsert(_u8694), _u8695), _u8696)) )).
% 27.68/27.94 cnf(matrix-4726, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8697), _u8698), hAPP(hAPP(c_Set_Oinsert(_u8697), _u8699), _u8700)) = hAPP(hAPP(c_Set_Oinsert(_u8697), _u8699), hAPP(hAPP(c_Set_Oinsert(_u8697), _u8698), _u8700))) )).
% 27.68/27.94 cnf(matrix-4727, plain, ( ( _u8707 = _u8711) | hBOOL(hAPP(_u8709, _u8711)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u8705), _u8707), _u8709), _u8711)) )).
% 27.68/27.94 cnf(matrix-4728, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u8706), _u8708), _u8710), _u8712)) | ( _u8708 != _u8712) )).
% 27.68/27.94 cnf(matrix-4729, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u8706), _u8708), _u8710), _u8712)) | ~hBOOL(hAPP(_u8710, _u8712)) )).
% 27.68/27.94 cnf(matrix-4730, plain, ( ( hAPP(c_Set_Oimage(_u8713, _u8714, _u8715), hAPP(hAPP(c_Set_Oinsert(_u8713), _u8716), _u8717)) = hAPP(hAPP(c_Set_Oinsert(_u8714), hAPP(_u8715, _u8716)), hAPP(c_Set_Oimage(_u8713, _u8714, _u8715), _u8717))) )).
% 27.68/27.94 cnf(matrix-4731, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8719)) | 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)), _u8719))) )).
% 27.68/27.94 cnf(matrix-4732, 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)), _u8720))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8720)) )).
% 27.68/27.94 cnf(matrix-4733, plain, ( ~c_Nat__Transfer_Onat__set(_u8721) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8721)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8721))) )).
% 27.68/27.94 cnf(matrix-4734, plain, ( ~c_Nat__Transfer_Onat__set(_u8721) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8721))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8721)) )).
% 27.68/27.94 cnf(matrix-4735, plain, ( ~class_Groups_Ocomm__monoid__add(_u8722) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8723), _u8724)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8723, _u8722), _u8725), _u8724) = c_Groups_Ozero__class_Ozero(_u8722)) )).
% 27.68/27.94 cnf(matrix-4736, plain, ( ~class_Groups_Ocomm__monoid__add(_u8726) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8727), _u8728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8727, _u8726), _u8729), _u8728) = c_Groups_Ozero__class_Ozero(_u8726)) )).
% 27.68/27.94 cnf(matrix-4737, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8730)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8730), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8730))) )).
% 27.68/27.94 cnf(matrix-4738, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8731)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8731)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u8731))) )).
% 27.68/27.94 cnf(matrix-4739, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8734), _u8735)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8734, tc_Nat_Onat), _u8736), _u8735) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8734), _u8732), _u8735)) | ( hAPP(_u8736, _u8732) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4740, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8734), _u8735)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8734, tc_Nat_Onat), _u8736), _u8735) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u8734), skolem166(_u8736, _u8735, _u8734)), _u8735)) )).
% 27.68/27.94 cnf(matrix-4741, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8734), _u8735)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8734, tc_Nat_Onat), _u8736), _u8735) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u8736, skolem166(_u8736, _u8735, _u8734)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4742, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8737, tc_fun(_u8738, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8737), _u8739), _u8740)), _u8741) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8738, tc_HOL_Obool)), hAPP(_u8741, _u8739)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8737, tc_fun(_u8738, tc_HOL_Obool)), _u8740), _u8741))) )).
% 27.68/27.94 cnf(matrix-4743, plain, ( ~class_Groups_Ocomm__monoid__add(_u8742) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8743), _u8744)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8743, _u8742), hAPP(hAPP(c_COMBS(_u8743, _u8742, _u8742), hAPP(hAPP(c_COMBB(_u8742, tc_fun(_u8742, _u8742), _u8743), c_Groups_Oplus__class_Oplus(_u8742)), _u8745)), _u8746)), _u8744) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8742), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8743, _u8742), _u8745), _u8744)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8743, _u8742), _u8746), _u8744))) )).
% 27.68/27.94 cnf(matrix-4744, 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)), _u8747))) )).
% 27.68/27.94 cnf(matrix-4745, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8748), hAPP(c_Nat_OSuc, _u8749))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8748, hAPP(c_Nat_OSuc, _u8749)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8749)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8748, _u8749))) )).
% 27.68/27.94 cnf(matrix-4746, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8754), _u8755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8754, tc_Nat_Onat), _u8756), _u8755) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u8754), skolem167(_u8756, _u8755, _u8754)), _u8755)) )).
% 27.68/27.94 cnf(matrix-4747, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8754), _u8755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8754, tc_Nat_Onat), _u8756), _u8755) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u8756, skolem167(_u8756, _u8755, _u8754)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.68/27.94 cnf(matrix-4748, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8754), _u8755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8754, tc_Nat_Onat), _u8756), _u8755) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u8754), _u8750), _u8755)) | ( skolem167(_u8756, _u8755, _u8754) = _u8750) | ( hAPP(_u8756, _u8750) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4749, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8754), _u8755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8754, tc_Nat_Onat), _u8756), _u8755) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u8754), _u8753), _u8755)) | ( hAPP(_u8756, _u8753) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u8754), skolem168(_u8756, _u8755, _u8754, _u8753)), _u8755)) )).
% 27.68/27.94 cnf(matrix-4750, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8754), _u8755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8754, tc_Nat_Onat), _u8756), _u8755) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u8754), _u8753), _u8755)) | ( hAPP(_u8756, _u8753) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8753 != skolem168(_u8756, _u8755, _u8754, _u8753)) )).
% 27.68/27.94 cnf(matrix-4751, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8754), _u8755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8754, tc_Nat_Onat), _u8756), _u8755) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u8754), _u8753), _u8755)) | ( hAPP(_u8756, _u8753) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u8756, skolem168(_u8756, _u8755, _u8754, _u8753)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4752, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8761), _u8762)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8761, tc_Nat_Onat), _u8763), _u8762) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u8761), skolem169(_u8763, _u8762, _u8761)), _u8762)) )).
% 27.68/27.94 cnf(matrix-4753, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8761), _u8762)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8761, tc_Nat_Onat), _u8763), _u8762) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u8763, skolem169(_u8763, _u8762, _u8761)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4754, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8761), _u8762)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8761, tc_Nat_Onat), _u8763), _u8762) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8761), _u8757), _u8762)) | ( skolem169(_u8763, _u8762, _u8761) = _u8757) | ( hAPP(_u8763, _u8757) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4755, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8761), _u8762)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8761, tc_Nat_Onat), _u8763), _u8762) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8761), _u8760), _u8762)) | ( hAPP(_u8763, _u8760) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u8761), skolem170(_u8763, _u8762, _u8761, _u8760)), _u8762)) )).
% 27.68/27.94 cnf(matrix-4756, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8761), _u8762)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8761, tc_Nat_Onat), _u8763), _u8762) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8761), _u8760), _u8762)) | ( hAPP(_u8763, _u8760) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u8760 != skolem170(_u8763, _u8762, _u8761, _u8760)) )).
% 27.68/27.94 cnf(matrix-4757, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8761), _u8762)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8761, tc_Nat_Onat), _u8763), _u8762) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8761), _u8760), _u8762)) | ( hAPP(_u8763, _u8760) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u8763, skolem170(_u8763, _u8762, _u8761, _u8760)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4758, plain, ( ~c_Typedef_Otype__definition(_u8764, _u8765, _u8766, _u8767, _u8768) | ( hAPP(_u8766, _u8769) != hAPP(_u8766, _u8770)) | ( _u8769 = _u8770) )).
% 27.68/27.94 cnf(matrix-4759, plain, ( ~c_Typedef_Otype__definition(_u8764, _u8765, _u8766, _u8767, _u8768) | ( _u8769 != _u8770) | ( hAPP(_u8766, _u8769) = hAPP(_u8766, _u8770)) )).
% 27.68/27.94 cnf(matrix-4760, plain, ( ( hAPP(_u8774, hAPP(_u8773, _u8776)) = _u8776) | ~c_Typedef_Otype__definition(_u8771, _u8772, _u8773, _u8774, _u8775) )).
% 27.68/27.94 cnf(matrix-4761, plain, ( ~class_Groups_Oab__group__add(_u8777) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8778), _u8779)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8778, tc_HOL_Obool)), _u8780), _u8779)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8778, _u8777), _u8781), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8778, tc_HOL_Obool)), _u8779), _u8780)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8777), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8778, _u8777), _u8781), _u8779)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8778, _u8777), _u8781), _u8780))) )).
% 27.68/27.94 cnf(matrix-4762, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8782), _u8783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8782, tc_HOL_Obool)), _u8784), _u8783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8782), _u8784)), hAPP(c_Finite__Set_Ocard(_u8782), _u8783))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8782, tc_HOL_Obool)), _u8784), _u8783)) )).
% 27.68/27.94 cnf(matrix-4763, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8785), _u8786)) | 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(_u8785), _u8787)), hAPP(c_Finite__Set_Ocard(_u8785), _u8786))), hAPP(c_Finite__Set_Ocard(_u8785), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8785, tc_HOL_Obool)), _u8787), _u8786)))) )).
% 27.68/27.94 cnf(matrix-4764, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8788), _u8789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8788, tc_HOL_Obool)), _u8789), _u8790)) | ( hAPP(c_Finite__Set_Ocard(_u8788), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8788, tc_HOL_Obool)), _u8790), _u8789)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8788), _u8790)), hAPP(c_Finite__Set_Ocard(_u8788), _u8789))) )).
% 27.68/27.94 cnf(matrix-4765, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8791), _u8792)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8791), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8791, tc_HOL_Obool)), _u8792), _u8793))) )).
% 27.68/27.94 cnf(matrix-4766, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8794), _u8795)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8794), hAPP(hAPP(c_Set_Oinsert(_u8794), _u8796), _u8795))) )).
% 27.68/27.94 cnf(matrix-4767, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8797), _u8798)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8799), hAPP(c_Set_Oimage(_u8797, _u8799, _u8800), _u8798))) )).
% 27.68/27.94 cnf(matrix-4768, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4769, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u8801), tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(_u8801)), c_Option_Ooption_ONone(_u8801)), hAPP(c_Set_Oimage(_u8801, tc_Option_Ooption(_u8801), c_Option_Ooption_OSome(_u8801)), c_Orderings_Otop__class_Otop(tc_fun(_u8801, tc_HOL_Obool))))) )).
% 27.68/27.94 cnf(matrix-4770, plain, ( ~class_Finite__Set_Ofinite(_u8802) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8802), _u8803)) )).
% 27.68/27.94 cnf(matrix-4771, plain, ( ~class_Finite__Set_Ofinite(_u8804) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8804), _u8805)) )).
% 27.68/27.94 cnf(matrix-4772, 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)) )).
% 27.68/27.94 cnf(matrix-4773, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4774, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8809), hAPP(hAPP(c_Set_Oinsert(_u8809), _u8811), _u8813))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8809), _u8813)) )).
% 27.68/27.94 cnf(matrix-4775, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8810), _u8814)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8810), hAPP(hAPP(c_Set_Oinsert(_u8810), _u8812), _u8814))) )).
% 27.68/27.94 cnf(matrix-4776, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8815, tc_HOL_Obool)), _u8816), _u8817)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8815), _u8817)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8815), _u8816)) )).
% 27.68/27.94 cnf(matrix-4777, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8818), _u8819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8818, tc_HOL_Obool)), _u8820), _u8819)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8818), _u8820)) )).
% 27.68/27.94 cnf(matrix-4778, plain, ( ~class_Finite__Set_Ofinite(_u8821) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8821), c_Orderings_Otop__class_Otop(tc_fun(_u8821, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4779, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u8823)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u8823), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8823), c_Orderings_Otop__class_Otop(tc_fun(_u8823, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4780, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8824), c_Orderings_Otop__class_Otop(tc_fun(_u8824, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u8824)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u8824), tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4781, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8827, _u8829)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u8827, _u8829), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8827), c_Orderings_Otop__class_Otop(tc_fun(_u8827, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4782, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8827, _u8829)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u8827, _u8829), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8829), c_Orderings_Otop__class_Otop(tc_fun(_u8829, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4783, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8828), c_Orderings_Otop__class_Otop(tc_fun(_u8828, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8830), c_Orderings_Otop__class_Otop(tc_fun(_u8830, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8828, _u8830)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u8828, _u8830), tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4784, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8832), c_Orderings_Otop__class_Otop(tc_fun(_u8832, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u8831, _u8832)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u8831, _u8832), tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4785, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8833), c_Orderings_Otop__class_Otop(tc_fun(_u8833, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8834), c_Orderings_Otop__class_Otop(tc_fun(_u8834, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u8833, _u8834)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u8833, _u8834), tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4786, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8835), _u8836)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8835), _u8837)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8835), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8835, tc_HOL_Obool)), _u8836), _u8837))) )).
% 27.68/27.94 cnf(matrix-4787, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8841), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8841, tc_HOL_Obool)), _u8843), _u8845))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8841), _u8843)) )).
% 27.68/27.94 cnf(matrix-4788, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8841), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8841, tc_HOL_Obool)), _u8843), _u8845))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8841), _u8845)) )).
% 27.68/27.94 cnf(matrix-4789, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8842), _u8844)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8842), _u8846)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8842), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8842, tc_HOL_Obool)), _u8844), _u8846))) )).
% 27.68/27.94 cnf(matrix-4790, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8847), _u8848)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8847), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8847, tc_HOL_Obool)), _u8849), _u8848))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8847), _u8849)) )).
% 27.68/27.94 cnf(matrix-4791, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8847), _u8848)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8847), _u8849)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8847), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8847, tc_HOL_Obool)), _u8849), _u8848))) )).
% 27.68/27.94 cnf(matrix-4792, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8852), _u8853)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8854), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8852, tc_fun(_u8854, tc_HOL_Obool)), _u8853), _u8855))) | ~hBOOL(hAPP(hAPP(c_member(_u8852), _u8850), _u8853)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8854), hAPP(_u8855, _u8850))) )).
% 27.68/27.94 cnf(matrix-4793, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8852), _u8853)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8854), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8852, tc_fun(_u8854, tc_HOL_Obool)), _u8853), _u8855))) | hBOOL(hAPP(hAPP(c_member(_u8852), skolem171(_u8855, _u8854, _u8853, _u8852)), _u8853)) )).
% 27.68/27.94 cnf(matrix-4794, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8852), _u8853)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8854), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8852, tc_fun(_u8854, tc_HOL_Obool)), _u8853), _u8855))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8854), hAPP(_u8855, skolem171(_u8855, _u8854, _u8853, _u8852)))) )).
% 27.68/27.94 cnf(matrix-4795, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8856), _u8857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8858, tc_HOL_Obool)), _u8859), hAPP(c_Set_Oimage(_u8856, _u8858, _u8860), _u8857))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8858), _u8859)) )).
% 27.68/27.94 cnf(matrix-4796, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8865), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8865, tc_HOL_Obool)), _u8867), hAPP(hAPP(c_Set_Oinsert(_u8865), _u8869), _u8871)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8865), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8865, tc_HOL_Obool)), _u8867), _u8871))) )).
% 27.68/27.94 cnf(matrix-4797, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8866), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8866, tc_HOL_Obool)), _u8868), _u8872))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8866), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8866, tc_HOL_Obool)), _u8868), hAPP(hAPP(c_Set_Oinsert(_u8866), _u8870), _u8872)))) )).
% 27.68/27.94 cnf(matrix-4798, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8873), _u8874)) | ( hAPP(c_Finite__Set_Ocard(_u8873), _u8874) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4799, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8875), c_Orderings_Otop__class_Otop(tc_fun(_u8875, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u8875), _u8876) != hAPP(c_Finite__Set_Ocard(_u8875), c_Orderings_Otop__class_Otop(tc_fun(_u8875, tc_HOL_Obool)))) | ( _u8876 = c_Orderings_Otop__class_Otop(tc_fun(_u8875, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4800, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), _u8878)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8877, tc_HOL_Obool)), _u8878))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), c_Orderings_Otop__class_Otop(tc_fun(_u8877, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4801, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), _u8878)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), c_Orderings_Otop__class_Otop(tc_fun(_u8877, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8877, tc_HOL_Obool)), _u8878))) )).
% 27.68/27.94 cnf(matrix-4802, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8879), hAPP(c_Set_Oimage(_u8880, _u8879, _u8881), c_Orderings_Otop__class_Otop(tc_fun(_u8880, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8882), hAPP(c_Set_Oimage(_u8880, _u8882, hAPP(hAPP(c_COMBB(_u8879, _u8882, _u8880), _u8883), _u8881)), c_Orderings_Otop__class_Otop(tc_fun(_u8880, tc_HOL_Obool))))) )).
% 27.68/27.94 cnf(matrix-4803, 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(_u8884), _u8885))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8884), _u8885)) )).
% 27.68/27.94 cnf(matrix-4804, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), _u8887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8886), _u8887)), hAPP(c_Finite__Set_Ocard(_u8886), hAPP(hAPP(c_Set_Oinsert(_u8886), _u8888), _u8887)))) )).
% 27.68/27.94 cnf(matrix-4805, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8889), _u8890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8889, tc_HOL_Obool)), _u8891), _u8890)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8889), _u8891)), hAPP(c_Finite__Set_Ocard(_u8889), _u8890))) )).
% 27.68/27.94 cnf(matrix-4806, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8892), _u8893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8892, tc_HOL_Obool)), _u8894), _u8893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8892), _u8893)), hAPP(c_Finite__Set_Ocard(_u8892), _u8894))) | ( _u8894 = _u8893) )).
% 27.68/27.94 cnf(matrix-4807, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8895), _u8896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8897), hAPP(c_Set_Oimage(_u8895, _u8897, _u8898), _u8896))), hAPP(c_Finite__Set_Ocard(_u8895), _u8896))) )).
% 27.68/27.94 cnf(matrix-4808, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8899), _u8900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8899, tc_HOL_Obool)), _u8901), _u8900)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8899), _u8901)), hAPP(c_Finite__Set_Ocard(_u8899), _u8900))) )).
% 27.68/27.94 cnf(matrix-4809, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8902), c_Orderings_Otop__class_Otop(tc_fun(_u8902, 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(_u8902), c_Orderings_Otop__class_Otop(tc_fun(_u8902, tc_HOL_Obool))))) )).
% 27.68/27.94 cnf(matrix-4810, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u8903, _u8904)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u8903, _u8904), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u8904), c_Orderings_Otop__class_Otop(tc_fun(_u8904, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8903), c_Orderings_Otop__class_Otop(tc_fun(_u8903, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4811, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8908), _u8910)) | ( 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)), _u8908)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8912), _u8910)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8912), _u8908)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8910), _u8908))) )).
% 27.68/27.94 cnf(matrix-4812, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8909), _u8911)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8913), _u8911)) | ( 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)), _u8909)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8913), _u8911)) = 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)))) )).
% 27.68/27.94 cnf(matrix-4813, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8909), _u8911)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8913), _u8911)) | ( 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)), _u8909)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8913), _u8911)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4814, plain, ( ~class_Groups_Ocomm__monoid__add(_u8915) | ~class_Groups_Oordered__ab__semigroup__add(_u8915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8916), _u8917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8916, tc_HOL_Obool)), _u8918), _u8917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8915), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8916, _u8915), _u8919), _u8918)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8916, _u8915), _u8919), _u8917))) | hBOOL(hAPP(hAPP(c_member(_u8916), skolem172(_u8919, _u8918, _u8917, _u8916, _u8915)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8916, tc_HOL_Obool)), _u8917), _u8918))) )).
% 27.68/27.94 cnf(matrix-4815, plain, ( ~class_Groups_Ocomm__monoid__add(_u8915) | ~class_Groups_Oordered__ab__semigroup__add(_u8915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8916), _u8917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8916, tc_HOL_Obool)), _u8918), _u8917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8915), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8916, _u8915), _u8919), _u8918)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8916, _u8915), _u8919), _u8917))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8915), c_Groups_Ozero__class_Ozero(_u8915)), hAPP(_u8919, skolem172(_u8919, _u8918, _u8917, _u8916, _u8915)))) )).
% 27.68/27.94 cnf(matrix-4816, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8924), _u8926)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8928), _u8930)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8924, _u8928)), c_Sum__Type_OPlus(_u8924, _u8928, _u8926, _u8930)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8924), _u8926)), hAPP(c_Finite__Set_Ocard(_u8928), _u8930))) )).
% 27.68/27.94 cnf(matrix-4817, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8925, _u8929)), c_Sum__Type_OPlus(_u8925, _u8929, _u8927, _u8931)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8925), _u8927)) )).
% 27.68/27.94 cnf(matrix-4818, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8925, _u8929)), c_Sum__Type_OPlus(_u8925, _u8929, _u8927, _u8931)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8929), _u8931)) )).
% 27.68/27.94 cnf(matrix-4819, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8932), c_Orderings_Obot__class_Obot(tc_fun(_u8932, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4820, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8933, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8933, tc_HOL_Obool))), _u8934)) )).
% 27.68/27.94 cnf(matrix-4821, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8935), c_Orderings_Obot__class_Obot(tc_fun(_u8935, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4822, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u8936, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u8936), _u8937), _u8938)) )).
% 27.68/27.94 cnf(matrix-4823, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8939), _u8940), _u8941) != c_Orderings_Obot__class_Obot(tc_fun(_u8939, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4824, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8947), _u8949), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8951), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8947), _u8953), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8955), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool))))) | ( _u8949 = _u8953) | ( _u8949 = _u8955) )).
% 27.68/27.94 cnf(matrix-4825, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8947), _u8949), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8951), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8947), _u8953), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8955), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool))))) | ( _u8949 = _u8953) | ( _u8951 = _u8953) )).
% 27.68/27.94 cnf(matrix-4826, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8947), _u8949), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8951), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8947), _u8953), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8955), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool))))) | ( _u8951 = _u8955) | ( _u8949 = _u8955) )).
% 27.68/27.94 cnf(matrix-4827, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8947), _u8949), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8951), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u8947), _u8953), hAPP(hAPP(c_Set_Oinsert(_u8947), _u8955), c_Orderings_Obot__class_Obot(tc_fun(_u8947, tc_HOL_Obool))))) | ( _u8951 = _u8955) | ( _u8951 = _u8953) )).
% 27.68/27.94 cnf(matrix-4828, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8948), _u8950), hAPP(hAPP(c_Set_Oinsert(_u8948), _u8952), c_Orderings_Obot__class_Obot(tc_fun(_u8948, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u8948), _u8954), hAPP(hAPP(c_Set_Oinsert(_u8948), _u8956), c_Orderings_Obot__class_Obot(tc_fun(_u8948, tc_HOL_Obool))))) | ( _u8950 != _u8954) | ( _u8952 != _u8956) )).
% 27.68/27.94 cnf(matrix-4829, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8948), _u8950), hAPP(hAPP(c_Set_Oinsert(_u8948), _u8952), c_Orderings_Obot__class_Obot(tc_fun(_u8948, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u8948), _u8954), hAPP(hAPP(c_Set_Oinsert(_u8948), _u8956), c_Orderings_Obot__class_Obot(tc_fun(_u8948, tc_HOL_Obool))))) | ( _u8950 != _u8956) | ( _u8952 != _u8954) )).
% 27.68/27.94 cnf(matrix-4830, plain, ( ( _u8958 = _u8959) | ( hAPP(hAPP(c_Set_Oinsert(_u8957), _u8958), c_Orderings_Obot__class_Obot(tc_fun(_u8957, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u8957), _u8959), c_Orderings_Obot__class_Obot(tc_fun(_u8957, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4831, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8963, tc_HOL_Obool)), _u8965), _u8967) != c_Orderings_Obot__class_Obot(tc_fun(_u8963, tc_HOL_Obool))) | ( _u8965 = c_Orderings_Obot__class_Obot(tc_fun(_u8963, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4832, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8963, tc_HOL_Obool)), _u8965), _u8967) != c_Orderings_Obot__class_Obot(tc_fun(_u8963, tc_HOL_Obool))) | ( _u8967 = c_Orderings_Obot__class_Obot(tc_fun(_u8963, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4833, plain, ( ( _u8966 != c_Orderings_Obot__class_Obot(tc_fun(_u8964, tc_HOL_Obool))) | ( _u8968 != c_Orderings_Obot__class_Obot(tc_fun(_u8964, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8964, tc_HOL_Obool)), _u8966), _u8968) = c_Orderings_Obot__class_Obot(tc_fun(_u8964, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4834, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8969, tc_HOL_Obool)), _u8970), c_Orderings_Obot__class_Obot(tc_fun(_u8969, tc_HOL_Obool))) = _u8970) )).
% 27.68/27.94 cnf(matrix-4835, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8971, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8971, tc_HOL_Obool))), _u8972) = _u8972) )).
% 27.68/27.94 cnf(matrix-4836, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8975, tc_HOL_Obool)), _u8977), c_Orderings_Obot__class_Obot(tc_fun(_u8975, tc_HOL_Obool)))) | ( _u8977 = c_Orderings_Obot__class_Obot(tc_fun(_u8975, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4837, plain, ( ( _u8978 != c_Orderings_Obot__class_Obot(tc_fun(_u8976, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8976, tc_HOL_Obool)), _u8978), c_Orderings_Obot__class_Obot(tc_fun(_u8976, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4838, plain, ( ~class_Orderings_Obot(_u8979) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8980, _u8979)), _u8981) = c_Orderings_Obot__class_Obot(_u8979)) )).
% 27.68/27.94 cnf(matrix-4839, plain, ( ~class_Orderings_Obot(_u8982) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8983, _u8982)), _u8984) = c_Orderings_Obot__class_Obot(_u8982)) )).
% 27.68/27.94 cnf(matrix-4840, plain, ( ( c_Sum__Type_OPlus(_u8989, _u8991, _u8993, _u8995) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u8989, _u8991), tc_HOL_Obool))) | ( _u8993 = c_Orderings_Obot__class_Obot(tc_fun(_u8989, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4841, plain, ( ( c_Sum__Type_OPlus(_u8989, _u8991, _u8993, _u8995) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u8989, _u8991), tc_HOL_Obool))) | ( _u8995 = c_Orderings_Obot__class_Obot(tc_fun(_u8991, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4842, plain, ( ( _u8994 != c_Orderings_Obot__class_Obot(tc_fun(_u8990, tc_HOL_Obool))) | ( _u8996 != c_Orderings_Obot__class_Obot(tc_fun(_u8992, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u8990, _u8992, _u8994, _u8996) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u8990, _u8992), tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4843, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8997, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8997, tc_HOL_Obool))), _u8998) = c_Orderings_Obot__class_Obot(tc_fun(_u8997, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4844, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8999, tc_HOL_Obool)), _u9000), c_Orderings_Obot__class_Obot(tc_fun(_u8999, tc_HOL_Obool))) = _u9000) )).
% 27.68/27.94 cnf(matrix-4845, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9001, tc_HOL_Obool)), _u9002), _u9002) = c_Orderings_Obot__class_Obot(tc_fun(_u9001, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4846, plain, ( ( hAPP(c_Set_Oimage(_u9007, _u9009, _u9011), _u9013) != c_Orderings_Obot__class_Obot(tc_fun(_u9009, tc_HOL_Obool))) | ( _u9013 = c_Orderings_Obot__class_Obot(tc_fun(_u9007, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4847, plain, ( ( _u9014 != c_Orderings_Obot__class_Obot(tc_fun(_u9008, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u9008, _u9010, _u9012), _u9014) = c_Orderings_Obot__class_Obot(tc_fun(_u9010, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4848, plain, ( ( hAPP(c_Set_Oimage(_u9015, _u9016, _u9017), c_Orderings_Obot__class_Obot(tc_fun(_u9015, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9016, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4849, plain, ( ( _u9028 = c_Orderings_Obot__class_Obot(tc_fun(_u9024, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9022, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u9024, _u9022, _u9026), _u9028)) )).
% 27.68/27.94 cnf(matrix-4850, plain, ( ( _u9029 != c_Orderings_Obot__class_Obot(tc_fun(_u9025, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9023, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u9025, _u9023, _u9027), _u9029)) )).
% 27.68/27.94 cnf(matrix-4851, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9030, tc_HOL_Obool)), _u9031), c_Orderings_Obot__class_Obot(tc_fun(_u9030, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4852, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9032, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u9032, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4853, plain, ( ~class_Orderings_Obot(_u9033) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9033), c_Orderings_Obot__class_Obot(_u9033)), _u9034)) )).
% 27.68/27.94 cnf(matrix-4854, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9035) | ( _u9036 = c_Orderings_Obot__class_Obot(tc_fun(_u9037, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9037, _u9035), _u9036), hAPP(c_COMBK(_u9035, _u9037), _u9038)) = _u9038) )).
% 27.68/27.94 cnf(matrix-4855, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9045, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9047, tc_fun(_u9045, tc_HOL_Obool)), _u9049), _u9051)) | ~hBOOL(hAPP(hAPP(c_member(_u9047), _u9039), _u9049)) | ( hAPP(_u9051, _u9039) = c_Orderings_Obot__class_Obot(tc_fun(_u9045, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4856, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9046, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9048, tc_fun(_u9046, tc_HOL_Obool)), _u9050), _u9052)) | hBOOL(hAPP(hAPP(c_member(_u9048), skolem173(_u9052, _u9050, _u9048, _u9046)), _u9050)) )).
% 27.68/27.94 cnf(matrix-4857, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9046, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9048, tc_fun(_u9046, tc_HOL_Obool)), _u9050), _u9052)) | ( hAPP(_u9052, skolem173(_u9052, _u9050, _u9048, _u9046)) != c_Orderings_Obot__class_Obot(tc_fun(_u9046, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4858, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9053, tc_fun(_u9054, tc_HOL_Obool)), _u9055), hAPP(c_COMBK(tc_fun(_u9054, tc_HOL_Obool), _u9053), c_Orderings_Obot__class_Obot(tc_fun(_u9054, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9054, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4859, plain, ( ( _u9060 != c_Orderings_Obot__class_Obot(tc_fun(_u9062, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9062, tc_fun(_u9064, tc_HOL_Obool)), _u9060), hAPP(c_COMBK(tc_fun(_u9064, tc_HOL_Obool), _u9062), _u9066)) = c_Orderings_Obot__class_Obot(tc_fun(_u9064, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4860, plain, ( ( _u9061 = c_Orderings_Obot__class_Obot(tc_fun(_u9063, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9063, tc_fun(_u9065, tc_HOL_Obool)), _u9061), hAPP(c_COMBK(tc_fun(_u9065, tc_HOL_Obool), _u9063), _u9067)) = _u9067) )).
% 27.68/27.94 cnf(matrix-4861, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9074, tc_fun(_u9076, tc_HOL_Obool)), _u9078), _u9080) != c_Orderings_Obot__class_Obot(tc_fun(_u9076, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9074), _u9068), _u9078)) | ( hAPP(_u9080, _u9068) = c_Orderings_Obot__class_Obot(tc_fun(_u9076, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4862, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9075, tc_fun(_u9077, tc_HOL_Obool)), _u9079), _u9081) = c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9075), skolem174(_u9081, _u9079, _u9077, _u9075)), _u9079)) )).
% 27.68/27.94 cnf(matrix-4863, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9075, tc_fun(_u9077, tc_HOL_Obool)), _u9079), _u9081) = c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))) | ( hAPP(_u9081, skolem174(_u9081, _u9079, _u9077, _u9075)) != c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4864, plain, ( ~class_Lattices_Obounded__lattice__bot(_u9082) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9082), c_Orderings_Obot__class_Obot(_u9082)), _u9083) = _u9083) )).
% 27.68/27.94 cnf(matrix-4865, plain, ( ~class_Lattices_Obounded__lattice__bot(_u9084) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9084), _u9085), c_Orderings_Obot__class_Obot(_u9084)) = _u9085) )).
% 27.68/27.94 cnf(matrix-4866, plain, ( ~class_Lattices_Obounded__lattice__bot(_u9086) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9086), _u9087), _u9088) != c_Orderings_Obot__class_Obot(_u9086)) | ( _u9087 = c_Orderings_Obot__class_Obot(_u9086)) )).
% 27.68/27.94 cnf(matrix-4867, plain, ( ~class_Lattices_Obounded__lattice__bot(_u9086) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9086), _u9087), _u9088) != c_Orderings_Obot__class_Obot(_u9086)) | ( _u9088 = c_Orderings_Obot__class_Obot(_u9086)) )).
% 27.68/27.94 cnf(matrix-4868, plain, ( ~class_Lattices_Obounded__lattice__bot(_u9086) | ( _u9087 != c_Orderings_Obot__class_Obot(_u9086)) | ( _u9088 != c_Orderings_Obot__class_Obot(_u9086)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9086), _u9087), _u9088) = c_Orderings_Obot__class_Obot(_u9086)) )).
% 27.68/27.94 cnf(matrix-4869, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9093, _u9095)), c_Sum__Type_OPlus(_u9093, _u9095, _u9097, _u9099))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9093), _u9097)) )).
% 27.68/27.94 cnf(matrix-4870, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9093, _u9095)), c_Sum__Type_OPlus(_u9093, _u9095, _u9097, _u9099))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9095), _u9099)) )).
% 27.68/27.94 cnf(matrix-4871, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9094), _u9098)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9096), _u9100)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9094, _u9096)), c_Sum__Type_OPlus(_u9094, _u9096, _u9098, _u9100))) )).
% 27.68/27.94 cnf(matrix-4872, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9101), _u9102)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9103), _u9104)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9101, _u9103)), c_Sum__Type_OPlus(_u9101, _u9103, _u9102, _u9104))) )).
% 27.68/27.94 cnf(matrix-4873, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9105, _u9106)), c_Sum__Type_OPlus(_u9105, _u9106, _u9107, _u9108))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9105), _u9107)) )).
% 27.68/27.94 cnf(matrix-4874, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9110), _u9112)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9109, _u9110)), c_Sum__Type_OPlus(_u9109, _u9110, _u9111, _u9112))) )).
% 27.68/27.94 cnf(matrix-4875, plain, ( ( c_Sum__Type_OPlus(_u9113, _u9114, c_Orderings_Otop__class_Otop(tc_fun(_u9113, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9114, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u9113, _u9114), tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4876, plain, ( ~class_Groups_Ocomm__monoid__add(_u9115) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9116, _u9115), _u9117), c_Orderings_Obot__class_Obot(tc_fun(_u9116, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u9115)) )).
% 27.68/27.94 cnf(matrix-4877, plain, ( ~class_Groups_Ocomm__monoid__add(_u9118) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9119, _u9118), _u9120), c_Orderings_Obot__class_Obot(tc_fun(_u9119, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u9118)) )).
% 27.68/27.94 cnf(matrix-4878, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9121, tc_HOL_Obool)), _u9122), hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))))) | ( _u9122 = c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))) | ( _u9122 = hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool)))) )).
% 27.68/27.94 cnf(matrix-4879, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u9124), _u9125), _u9126) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9124, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9124), _u9125), c_Orderings_Obot__class_Obot(tc_fun(_u9124, tc_HOL_Obool)))), _u9126)) )).
% 27.68/27.94 cnf(matrix-4880, plain, ( ~class_Orderings_Oorder(_u9127) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9127, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u9127, _u9128, _u9129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9127), _u9128), _u9129)) )).
% 27.68/27.94 cnf(matrix-4881, plain, ( ~class_Orderings_Oorder(_u9127) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9127), _u9128), _u9129)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9127, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9127, _u9128, _u9129)) )).
% 27.68/27.94 cnf(matrix-4882, plain, ( ~class_Orderings_Oorder(_u9130) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9130, _u9131, _u9132) != c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9130), _u9131), _u9132)) )).
% 27.68/27.94 cnf(matrix-4883, plain, ( ~class_Orderings_Oorder(_u9130) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9130), _u9131), _u9132)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9130, _u9131, _u9132) = c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4884, plain, ( ~class_Orderings_Oorder(_u9133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9133), _u9134), _u9135)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9133, _u9135, _u9134) = c_Orderings_Obot__class_Obot(tc_fun(_u9133, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4885, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9136, tc_HOL_Obool)), _u9137), hAPP(hAPP(c_Set_Oinsert(_u9136), _u9138), _u9139)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9136, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9136, tc_HOL_Obool)), _u9137), _u9139)), hAPP(hAPP(c_Set_Oinsert(_u9136), _u9138), c_Orderings_Obot__class_Obot(tc_fun(_u9136, tc_HOL_Obool))))) )).
% 27.68/27.94 cnf(matrix-4886, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9140, tc_HOL_Obool)), _u9141), hAPP(hAPP(c_Set_Oinsert(_u9140), _u9142), _u9143)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9140, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9140, tc_HOL_Obool)), _u9141), hAPP(hAPP(c_Set_Oinsert(_u9140), _u9142), c_Orderings_Obot__class_Obot(tc_fun(_u9140, tc_HOL_Obool))))), _u9143)) )).
% 27.68/27.94 cnf(matrix-4887, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u9144), _u9145), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9144, tc_HOL_Obool)), _u9146), hAPP(hAPP(c_Set_Oinsert(_u9144), _u9145), c_Orderings_Obot__class_Obot(tc_fun(_u9144, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u9144), _u9145), _u9146)) )).
% 27.68/27.94 cnf(matrix-4888, plain, ( ~class_Orderings_Oorder(_u9147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9147), _u9148), _u9149)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9147, _u9149), _u9148) = c_Orderings_Obot__class_Obot(tc_fun(_u9147, tc_HOL_Obool))) )).
% 27.68/27.94 cnf(matrix-4889, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9150), c_Orderings_Obot__class_Obot(tc_fun(_u9150, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.94 cnf(matrix-4890, plain, ( ~class_Orderings_Oorder(_u9151) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9151, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9151, _u9152), _u9153)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9151), _u9152), _u9153)) )).
% 27.68/27.94 cnf(matrix-4891, plain, ( ~class_Orderings_Oorder(_u9151) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9151), _u9152), _u9153)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9151, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9151, _u9152), _u9153)) )).
% 27.68/27.94 cnf(matrix-4892, plain, ( ~class_Orderings_Oorder(_u9154) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9154, _u9155), _u9156) != c_Orderings_Obot__class_Obot(tc_fun(_u9154, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9154), _u9155), _u9156)) )).
% 27.68/27.94 cnf(matrix-4893, plain, ( ~class_Orderings_Oorder(_u9154) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9154), _u9155), _u9156)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9154, _u9155), _u9156) = c_Orderings_Obot__class_Obot(tc_fun(_u9154, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4894, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9157, tc_HOL_Obool)), _u9158), c_Orderings_Otop__class_Otop(tc_fun(_u9157, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9157, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4895, plain, ( ~class_Orderings_Oorder(_u9159) | ( _u9160 != _u9161) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9159, _u9160, _u9161) = hAPP(hAPP(c_Set_Oinsert(_u9159), _u9160), c_Orderings_Obot__class_Obot(tc_fun(_u9159, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-4896, plain, ( ~class_Orderings_Oorder(_u9162) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9162, _u9163, _u9164) != hAPP(hAPP(c_Set_Oinsert(_u9162), _u9165), c_Orderings_Obot__class_Obot(tc_fun(_u9162, tc_HOL_Obool)))) | ( _u9163 = _u9164) )).
% 27.68/27.95 cnf(matrix-4897, plain, ( ~class_Orderings_Oorder(_u9162) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9162, _u9163, _u9164) != hAPP(hAPP(c_Set_Oinsert(_u9162), _u9165), c_Orderings_Obot__class_Obot(tc_fun(_u9162, tc_HOL_Obool)))) | ( _u9164 = _u9165) )).
% 27.68/27.95 cnf(matrix-4898, plain, ( ~class_Orderings_Oorder(_u9162) | ( _u9163 != _u9164) | ( _u9164 != _u9165) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9162, _u9163, _u9164) = hAPP(hAPP(c_Set_Oinsert(_u9162), _u9165), c_Orderings_Obot__class_Obot(tc_fun(_u9162, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-4899, plain, ( ~class_Orderings_Oorder(_u9166) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9166, _u9167, _u9167) = hAPP(hAPP(c_Set_Oinsert(_u9166), _u9167), c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-4900, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9170, tc_HOL_Obool)), _u9172), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9170, tc_HOL_Obool)), _u9172))) | ( _u9172 = c_Orderings_Obot__class_Obot(tc_fun(_u9170, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4901, plain, ( ( _u9173 != c_Orderings_Obot__class_Obot(tc_fun(_u9171, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9171, tc_HOL_Obool)), _u9173), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9171, tc_HOL_Obool)), _u9173))) )).
% 27.68/27.95 cnf(matrix-4902, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9174, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u9174, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u9174, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4903, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9175, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9175, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9175, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4904, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9176), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4905, plain, ( ~class_Orderings_Oorder(_u9177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9177), _u9178), _u9179)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u9177, _u9179, _u9178) = c_Orderings_Obot__class_Obot(tc_fun(_u9177, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4906, plain, ( ~class_Orderings_Oorder(_u9180) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9180, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u9180, _u9181, _u9182)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9180), _u9181), _u9182)) )).
% 27.68/27.95 cnf(matrix-4907, plain, ( ~class_Orderings_Oorder(_u9180) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9180), _u9181), _u9182)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9180, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9180, _u9181, _u9182)) )).
% 27.68/27.95 cnf(matrix-4908, plain, ( ~class_Orderings_Oorder(_u9183) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u9183, _u9184, _u9185) != c_Orderings_Obot__class_Obot(tc_fun(_u9183, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9183), _u9184), _u9185)) )).
% 27.68/27.95 cnf(matrix-4909, plain, ( ~class_Orderings_Oorder(_u9183) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9183), _u9184), _u9185)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u9183, _u9184, _u9185) = c_Orderings_Obot__class_Obot(tc_fun(_u9183, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4910, plain, ( ~class_Orderings_Oorder(_u9186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9186), _u9187), _u9188)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u9186, _u9188, _u9187) = c_Orderings_Obot__class_Obot(tc_fun(_u9186, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4911, 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))) )).
% 27.68/27.95 cnf(matrix-4912, plain, ( ( _u9193 != c_Orderings_Obot__class_Obot(tc_fun(_u9195, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u9195, _u9197, hAPP(c_COMBK(_u9197, _u9195), _u9199)), _u9193) = c_Orderings_Obot__class_Obot(tc_fun(_u9197, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4913, plain, ( ( _u9194 = c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u9196, _u9198, hAPP(c_COMBK(_u9198, _u9196), _u9200)), _u9194) = hAPP(hAPP(c_Set_Oinsert(_u9198), _u9200), c_Orderings_Obot__class_Obot(tc_fun(_u9198, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-4914, plain, ( ( _u9206 != c_Orderings_Obot__class_Obot(tc_fun(_u9208, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9208, tc_fun(_u9210, tc_HOL_Obool)), _u9206), hAPP(hAPP(c_COMBB(tc_fun(_u9210, tc_HOL_Obool), tc_fun(_u9210, tc_HOL_Obool), _u9208), hAPP(c_Set_Oinsert(_u9210), _u9212)), _u9214)) = c_Orderings_Obot__class_Obot(tc_fun(_u9210, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4915, plain, ( ( _u9207 = c_Orderings_Obot__class_Obot(tc_fun(_u9209, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9209, tc_fun(_u9211, tc_HOL_Obool)), _u9207), hAPP(hAPP(c_COMBB(tc_fun(_u9211, tc_HOL_Obool), tc_fun(_u9211, tc_HOL_Obool), _u9209), hAPP(c_Set_Oinsert(_u9211), _u9213)), _u9215)) = hAPP(hAPP(c_Set_Oinsert(_u9211), _u9213), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9209, tc_fun(_u9211, tc_HOL_Obool)), _u9207), _u9215))) )).
% 27.68/27.95 cnf(matrix-4916, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9216, tc_fun(_u9216, tc_HOL_Obool)), _u9217), hAPP(hAPP(c_COMBC(_u9216, tc_fun(_u9216, tc_HOL_Obool), tc_fun(_u9216, tc_HOL_Obool)), c_Set_Oinsert(_u9216)), c_Orderings_Obot__class_Obot(tc_fun(_u9216, tc_HOL_Obool)))) = _u9217) )).
% 27.68/27.95 cnf(matrix-4917, plain, ( ( _u9223 != c_Orderings_Obot__class_Obot(tc_fun(_u9225, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9227), _u9229), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9225, tc_fun(_u9227, tc_HOL_Obool)), _u9223), _u9231)) = hAPP(hAPP(c_Set_Oinsert(_u9227), _u9229), c_Orderings_Obot__class_Obot(tc_fun(_u9227, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-4918, plain, ( ( _u9224 = c_Orderings_Obot__class_Obot(tc_fun(_u9226, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9228), _u9230), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9226, tc_fun(_u9228, tc_HOL_Obool)), _u9224), _u9232)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9226, tc_fun(_u9228, tc_HOL_Obool)), _u9224), hAPP(hAPP(c_COMBB(tc_fun(_u9228, tc_HOL_Obool), tc_fun(_u9228, tc_HOL_Obool), _u9226), hAPP(c_Set_Oinsert(_u9228), _u9230)), _u9232))) )).
% 27.68/27.95 cnf(matrix-4919, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9233), _u9234)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9234), _u9233)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9234, _u9233) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4920, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9237, _u9239) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9237), _u9239)) )).
% 27.68/27.95 cnf(matrix-4921, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9238), _u9240)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9238, _u9240) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4922, 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), _u9243, _u9245)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9243), _u9245)) )).
% 27.68/27.95 cnf(matrix-4923, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9244), _u9246)) | ( 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), _u9244, _u9246)) )).
% 27.68/27.95 cnf(matrix-4924, plain, ( ( _u9252 != c_Orderings_Obot__class_Obot(tc_fun(_u9254, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9254, tc_fun(_u9256, tc_HOL_Obool)), _u9252), hAPP(hAPP(c_COMBB(tc_fun(_u9256, tc_HOL_Obool), tc_fun(_u9256, tc_HOL_Obool), _u9254), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9256, tc_HOL_Obool)), _u9258)), _u9260)) = c_Orderings_Obot__class_Obot(tc_fun(_u9256, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4925, plain, ( ( _u9253 = c_Orderings_Obot__class_Obot(tc_fun(_u9255, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9255, tc_fun(_u9257, tc_HOL_Obool)), _u9253), hAPP(hAPP(c_COMBB(tc_fun(_u9257, tc_HOL_Obool), tc_fun(_u9257, tc_HOL_Obool), _u9255), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9257, tc_HOL_Obool)), _u9259)), _u9261)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9257, tc_HOL_Obool)), _u9259), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9255, tc_fun(_u9257, tc_HOL_Obool)), _u9253), _u9261))) )).
% 27.68/27.95 cnf(matrix-4926, plain, ( ( _u9267 != c_Orderings_Obot__class_Obot(tc_fun(_u9269, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9269, tc_fun(_u9271, tc_HOL_Obool)), _u9267), hAPP(hAPP(c_COMBC(_u9269, tc_fun(_u9271, tc_HOL_Obool), tc_fun(_u9271, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9271, tc_HOL_Obool), tc_fun(tc_fun(_u9271, tc_HOL_Obool), tc_fun(_u9271, tc_HOL_Obool)), _u9269), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9271, tc_HOL_Obool))), _u9273)), _u9275)) = c_Orderings_Obot__class_Obot(tc_fun(_u9271, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4927, plain, ( ( _u9268 = c_Orderings_Obot__class_Obot(tc_fun(_u9270, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9270, tc_fun(_u9272, tc_HOL_Obool)), _u9268), hAPP(hAPP(c_COMBC(_u9270, tc_fun(_u9272, tc_HOL_Obool), tc_fun(_u9272, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9272, tc_HOL_Obool), tc_fun(tc_fun(_u9272, tc_HOL_Obool), tc_fun(_u9272, tc_HOL_Obool)), _u9270), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9272, tc_HOL_Obool))), _u9274)), _u9276)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9272, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9270, tc_fun(_u9272, tc_HOL_Obool)), _u9268), _u9274)), _u9276)) )).
% 27.68/27.95 cnf(matrix-4928, plain, ( ( _u9282 != c_Orderings_Obot__class_Obot(tc_fun(_u9284, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9286, tc_HOL_Obool)), _u9288), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9284, tc_fun(_u9286, tc_HOL_Obool)), _u9282), _u9290)) = _u9288) )).
% 27.68/27.95 cnf(matrix-4929, plain, ( ( _u9283 = c_Orderings_Obot__class_Obot(tc_fun(_u9285, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9287, tc_HOL_Obool)), _u9289), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9285, tc_fun(_u9287, tc_HOL_Obool)), _u9283), _u9291)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9285, tc_fun(_u9287, tc_HOL_Obool)), _u9283), hAPP(hAPP(c_COMBB(tc_fun(_u9287, tc_HOL_Obool), tc_fun(_u9287, tc_HOL_Obool), _u9285), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9287, tc_HOL_Obool)), _u9289)), _u9291))) )).
% 27.68/27.95 cnf(matrix-4930, plain, ( ( _u9297 != c_Orderings_Obot__class_Obot(tc_fun(_u9299, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9301, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9299, tc_fun(_u9301, tc_HOL_Obool)), _u9297), _u9303)), _u9305) = _u9305) )).
% 27.68/27.95 cnf(matrix-4931, plain, ( ( _u9298 = c_Orderings_Obot__class_Obot(tc_fun(_u9300, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9302, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9300, tc_fun(_u9302, tc_HOL_Obool)), _u9298), _u9304)), _u9306) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9300, tc_fun(_u9302, tc_HOL_Obool)), _u9298), hAPP(hAPP(c_COMBC(_u9300, tc_fun(_u9302, tc_HOL_Obool), tc_fun(_u9302, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9302, tc_HOL_Obool), tc_fun(tc_fun(_u9302, tc_HOL_Obool), tc_fun(_u9302, tc_HOL_Obool)), _u9300), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9302, tc_HOL_Obool))), _u9304)), _u9306))) )).
% 27.68/27.95 cnf(matrix-4932, plain, ( ~class_Lattices_Oboolean__algebra(_u9307) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9307), c_Orderings_Otop__class_Otop(_u9307)) = c_Orderings_Obot__class_Obot(_u9307)) )).
% 27.68/27.95 cnf(matrix-4933, plain, ( ~class_Lattices_Oboolean__algebra(_u9308) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9308), c_Orderings_Obot__class_Obot(_u9308)) = c_Orderings_Otop__class_Otop(_u9308)) )).
% 27.68/27.95 cnf(matrix-4934, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9311), _u9313) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9313 = c_Orderings_Obot__class_Obot(tc_fun(_u9311, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9311), _u9313)) )).
% 27.68/27.95 cnf(matrix-4935, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9312), _u9314) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9314 != c_Orderings_Obot__class_Obot(tc_fun(_u9312, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4936, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9312), _u9314) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9312), _u9314)) )).
% 27.68/27.95 cnf(matrix-4937, plain, ( ~class_Orderings_Oorder(_u9315) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9315, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9315), _u9316), c_Orderings_Obot__class_Obot(tc_fun(_u9315, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u9315), _u9316)) = hAPP(hAPP(c_Set_Oinsert(_u9315), _u9316), c_Orderings_Obot__class_Obot(tc_fun(_u9315, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-4938, plain, ( ( hAPP(c_Set_Oimage(_u9317, _u9318, _u9319), _u9320) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9317, tc_fun(_u9318, tc_HOL_Obool)), _u9320), hAPP(hAPP(c_COMBC(_u9317, tc_fun(_u9318, tc_HOL_Obool), tc_fun(_u9318, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u9318, tc_fun(tc_fun(_u9318, tc_HOL_Obool), tc_fun(_u9318, tc_HOL_Obool)), _u9317), c_Set_Oinsert(_u9318)), _u9319)), c_Orderings_Obot__class_Obot(tc_fun(_u9318, tc_HOL_Obool))))) )).
% 27.68/27.95 cnf(matrix-4939, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9321), hAPP(c_Nat_OSuc, _u9321)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9321), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-4940, 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)))) )).
% 27.68/27.95 cnf(matrix-4941, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9325, _u9327) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9329), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9325 = _u9327) )).
% 27.68/27.95 cnf(matrix-4942, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9325, _u9327) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9329), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9327 = _u9329) )).
% 27.68/27.95 cnf(matrix-4943, plain, ( ( _u9326 != _u9328) | ( _u9328 != _u9330) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9326, _u9328) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9330), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-4944, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9331, _u9331) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9331), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-4945, plain, ( ( _u9332 != _u9333) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9332, _u9333) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9332), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-4946, plain, ( ( c_Sum__Type_OPlus(_u9334, _u9335, _u9336, _u9337) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_sum(_u9334, _u9335), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9334, tc_sum(_u9334, _u9335), c_Sum__Type_OInl(_u9334, _u9335)), _u9336)), hAPP(c_Set_Oimage(_u9335, tc_sum(_u9334, _u9335), c_Sum__Type_OInr(_u9335, _u9334)), _u9337))) )).
% 27.68/27.95 cnf(matrix-4947, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9338)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u9338)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9338), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 27.68/27.95 cnf(matrix-4948, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9339)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u9339)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9339)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 27.68/27.95 cnf(matrix-4949, 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(_u9342), _u9344))) | ( _u9344 != c_Orderings_Obot__class_Obot(tc_fun(_u9342, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4950, 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(_u9342), _u9344))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9342), _u9344)) )).
% 27.68/27.95 cnf(matrix-4951, plain, ( ( _u9345 = c_Orderings_Obot__class_Obot(tc_fun(_u9343, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9343), _u9345)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u9343), _u9345))) )).
% 27.68/27.95 cnf(matrix-4952, plain, ( ~class_Orderings_Olinorder(_u9346) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9346, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u9346), _u9347)), hAPP(hAPP(c_Set_Oinsert(_u9346), _u9347), c_Orderings_Obot__class_Obot(tc_fun(_u9346, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u9346), _u9347)) )).
% 27.68/27.95 cnf(matrix-4953, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9350), _u9352)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9350), hAPP(c_Nat_OSuc, _u9352)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9352), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9350), _u9352))) )).
% 27.68/27.95 cnf(matrix-4954, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9351), _u9353)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9351), hAPP(c_Nat_OSuc, _u9353)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4955, plain, ( ~class_Orderings_Olinorder(_u9354) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9354, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9354), _u9355), c_Orderings_Obot__class_Obot(tc_fun(_u9354, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u9354), _u9355)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u9354), _u9355)) )).
% 27.68/27.95 cnf(matrix-4956, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9356), _u9357)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9358), _u9359)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u9356, _u9358)), c_Sum__Type_OPlus(_u9356, _u9358, _u9357, _u9359)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9356), _u9357)), hAPP(c_Finite__Set_Ocard(_u9358), _u9359))) )).
% 27.68/27.95 cnf(matrix-4957, plain, ( ~class_Groups_Ocomm__monoid__add(_u9360) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9361), _u9362)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9361, _u9360), _u9363), hAPP(hAPP(c_Set_Oinsert(_u9361), _u9364), _u9362)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9360), hAPP(_u9363, _u9364)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9361, _u9360), _u9363), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9361, tc_HOL_Obool)), _u9362), hAPP(hAPP(c_Set_Oinsert(_u9361), _u9364), c_Orderings_Obot__class_Obot(tc_fun(_u9361, tc_HOL_Obool))))))) )).
% 27.68/27.95 cnf(matrix-4958, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9365), _u9366)) | ( hAPP(c_Finite__Set_Ocard(_u9365), hAPP(hAPP(c_Set_Oinsert(_u9365), _u9367), _u9366)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u9365), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9365, tc_HOL_Obool)), _u9366), hAPP(hAPP(c_Set_Oinsert(_u9365), _u9367), c_Orderings_Obot__class_Obot(tc_fun(_u9365, tc_HOL_Obool))))))) )).
% 27.68/27.95 cnf(matrix-4959, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9368), _u9369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9368), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9368, tc_HOL_Obool)), _u9369), hAPP(hAPP(c_Set_Oinsert(_u9368), _u9370), c_Orderings_Obot__class_Obot(tc_fun(_u9368, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u9368), _u9369))) )).
% 27.68/27.95 cnf(matrix-4960, plain, ( ~class_Orderings_Olinorder(_u9371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9371), _u9372), _u9373)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9371, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9371, _u9372), _u9373)), hAPP(hAPP(c_Set_Oinsert(_u9371), _u9373), c_Orderings_Obot__class_Obot(tc_fun(_u9371, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u9371, _u9372, _u9373)) )).
% 27.68/27.95 cnf(matrix-4961, plain, ( ~class_Orderings_Olinorder(_u9374) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9374), _u9375), _u9376)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9374, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9374), _u9375), c_Orderings_Obot__class_Obot(tc_fun(_u9374, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9374, _u9375, _u9376)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9374, _u9375, _u9376)) )).
% 27.68/27.95 cnf(matrix-4962, plain, ( ~class_Orderings_Olinorder(_u9377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9377), _u9378), _u9379)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9377, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9377), _u9378), c_Orderings_Obot__class_Obot(tc_fun(_u9377, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9377, _u9378, _u9379)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9377, _u9378), _u9379)) )).
% 27.68/27.95 cnf(matrix-4963, plain, ( ~class_Orderings_Olinorder(_u9380) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9380), _u9381), _u9382)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9380, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9380, _u9381, _u9382)), hAPP(hAPP(c_Set_Oinsert(_u9380), _u9382), c_Orderings_Obot__class_Obot(tc_fun(_u9380, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9380, _u9381, _u9382)) )).
% 27.68/27.95 cnf(matrix-4964, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9383), _u9384)) | ( hAPP(c_Finite__Set_Ocard(_u9383), hAPP(hAPP(c_Set_Oinsert(_u9383), _u9385), _u9384)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u9383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9383, tc_HOL_Obool)), _u9384), hAPP(hAPP(c_Set_Oinsert(_u9383), _u9385), c_Orderings_Obot__class_Obot(tc_fun(_u9383, tc_HOL_Obool))))))) )).
% 27.68/27.95 cnf(matrix-4965, plain, ( ( c_Set_Othe__elem(_u9386, _u9387) = c_HOL_OThe(_u9386, hAPP(hAPP(c_COMBB(tc_fun(_u9386, tc_HOL_Obool), tc_HOL_Obool, _u9386), hAPP(c_fequal, _u9387)), hAPP(hAPP(c_COMBC(_u9386, tc_fun(_u9386, tc_HOL_Obool), tc_fun(_u9386, tc_HOL_Obool)), c_Set_Oinsert(_u9386)), c_Orderings_Obot__class_Obot(tc_fun(_u9386, tc_HOL_Obool)))))) )).
% 27.68/27.95 cnf(matrix-4966, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9388), _u9389)) | ( 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)))), _u9389, _u9388) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4967, plain, ( ( c_Set_Othe__elem(_u9390, hAPP(hAPP(c_Set_Oinsert(_u9390), _u9391), c_Orderings_Obot__class_Obot(tc_fun(_u9390, tc_HOL_Obool)))) = _u9391) )).
% 27.68/27.95 cnf(matrix-4968, plain, ( ( c_Option_Oset(_u9392, hAPP(c_Option_Ooption_OSome(_u9392), _u9393)) = hAPP(hAPP(c_Set_Oinsert(_u9392), _u9393), c_Orderings_Obot__class_Obot(tc_fun(_u9392, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-4969, plain, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4970, plain, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.68/27.95 cnf(matrix-4971, 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)))) )).
% 27.68/27.95 cnf(matrix-4972, 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)))) )).
% 27.68/27.95 cnf(matrix-4973, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9396), _u9398)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9398, _u9396) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4974, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9397), _u9399)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9399, _u9397) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u9399), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9399), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9397))) )).
% 27.68/27.95 cnf(matrix-4975, plain, ( ( c_Option_Oset(_u9402, _u9404) != c_Orderings_Obot__class_Obot(tc_fun(_u9402, tc_HOL_Obool))) | ( _u9404 = c_Option_Ooption_ONone(_u9402)) )).
% 27.68/27.95 cnf(matrix-4976, plain, ( ( _u9405 != c_Option_Ooption_ONone(_u9403)) | ( c_Option_Oset(_u9403, _u9405) = c_Orderings_Obot__class_Obot(tc_fun(_u9403, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4977, plain, ( ( c_Option_Oset(_u9406, c_Option_Ooption_ONone(_u9406)) = c_Orderings_Obot__class_Obot(tc_fun(_u9406, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-4978, plain, ( ( hAPP(c_Int_Onat, _u9407) = 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, _u9407)), 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))))))) )).
% 27.68/27.95 cnf(matrix-4979, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9408), _u9409)) | ~hBOOL(hAPP(hAPP(c_member(_u9408), _u9410), _u9409)) | ( hAPP(c_Finite__Set_Ocard(_u9408), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9408, tc_HOL_Obool)), _u9409), hAPP(hAPP(c_Set_Oinsert(_u9408), _u9410), c_Orderings_Obot__class_Obot(tc_fun(_u9408, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9408), _u9409)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.68/27.95 cnf(matrix-4980, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9408), _u9409)) | hBOOL(hAPP(hAPP(c_member(_u9408), _u9410), _u9409)) | ( hAPP(c_Finite__Set_Ocard(_u9408), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9408, tc_HOL_Obool)), _u9409), hAPP(hAPP(c_Set_Oinsert(_u9408), _u9410), c_Orderings_Obot__class_Obot(tc_fun(_u9408, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u9408), _u9409)) )).
% 27.68/27.95 cnf(matrix-4981, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9411), _u9412)) | ~hBOOL(hAPP(hAPP(c_member(_u9411), _u9413), _u9412)) | ( hAPP(c_Finite__Set_Ocard(_u9411), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9411, tc_HOL_Obool)), _u9412), hAPP(hAPP(c_Set_Oinsert(_u9411), _u9413), c_Orderings_Obot__class_Obot(tc_fun(_u9411, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9411), _u9412)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.68/27.95 cnf(matrix-4982, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9415), _u9420)) | ( hAPP(_u9419, hAPP(hAPP(c_Set_Oinsert(_u9415), _u9421), _u9420)) = hAPP(hAPP(_u9416, hAPP(_u9418, _u9421)), hAPP(_u9419, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9415, tc_HOL_Obool)), _u9420), hAPP(hAPP(c_Set_Oinsert(_u9415), _u9421), c_Orderings_Obot__class_Obot(tc_fun(_u9415, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u9414, _u9415, _u9416, _u9417, _u9418, _u9419) )).
% 27.68/27.95 cnf(matrix-4983, plain, ( ( _u9422 != _u9423) | hBOOL(hAPP(hAPP(c_member(_u9424), _u9425), _u9422)) | ~hBOOL(hAPP(hAPP(c_member(_u9424), _u9425), _u9423)) )).
% 27.68/27.95 cnf(matrix-4984, plain, ( ( _u9422 != _u9423) | hBOOL(hAPP(hAPP(c_member(_u9424), _u9425), _u9423)) | ~hBOOL(hAPP(hAPP(c_member(_u9424), _u9425), _u9422)) )).
% 27.68/27.95 cnf(matrix-4985, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9426), _u9427), _u9428)) | ~hBOOL(hAPP(hAPP(hAPP(_u9429, _u9427), _u9430), _u9431)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9426, tc_fun(_u9432, tc_fun(_u9433, tc_HOL_Obool))), _u9428), _u9429), _u9430), _u9431)) )).
% 27.68/27.95 cnf(matrix-4986, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9434), _u9435), c_Orderings_Obot__class_Obot(tc_fun(_u9434, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-4987, plain, ( hBOOL(hAPP(hAPP(c_member(_u9436), _u9437), hAPP(hAPP(c_Set_Oinsert(_u9436), _u9439), _u9438))) | ~hBOOL(hAPP(hAPP(c_member(_u9436), _u9437), _u9438)) )).
% 27.68/27.95 cnf(matrix-4988, plain, ( hBOOL(hAPP(hAPP(c_member(_u9436), _u9437), hAPP(hAPP(c_Set_Oinsert(_u9436), _u9439), _u9438))) | ( _u9437 != _u9439) )).
% 27.68/27.95 cnf(matrix-4989, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9440), _u9441), hAPP(hAPP(c_Set_Oinsert(_u9440), _u9442), _u9443))) | ( _u9441 = _u9442) | hBOOL(hAPP(hAPP(c_member(_u9440), _u9441), _u9443)) )).
% 27.68/27.95 cnf(matrix-4990, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9444, tc_HOL_Obool)), _u9445), _u9446)) | ~hBOOL(hAPP(hAPP(c_member(_u9444), _u9447), _u9445)) | hBOOL(hAPP(hAPP(c_member(_u9444), _u9447), _u9446)) )).
% 27.68/27.95 cnf(matrix-4991, plain, ( hBOOL(hAPP(hAPP(c_member(_u9448), _u9449), c_Orderings_Otop__class_Otop(tc_fun(_u9448, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-4992, plain, ( ( _u9450 != hAPP(_u9451, _u9452)) | ~hBOOL(hAPP(hAPP(c_member(_u9453), _u9452), _u9454)) | hBOOL(hAPP(hAPP(c_member(_u9455), _u9450), hAPP(c_Set_Oimage(_u9453, _u9455, _u9451), _u9454))) )).
% 27.68/27.95 cnf(matrix-4993, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9456), _u9457), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9456, tc_HOL_Obool)), _u9458), _u9459))) | hBOOL(hAPP(hAPP(c_member(_u9456), _u9457), _u9458)) | hBOOL(hAPP(hAPP(c_member(_u9456), _u9457), _u9459)) )).
% 27.68/27.95 cnf(matrix-4994, plain, ( hBOOL(hAPP(hAPP(c_member(_u9460), _u9461), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9460, tc_HOL_Obool)), _u9463), _u9462))) | ~hBOOL(hAPP(hAPP(c_member(_u9460), _u9461), _u9462)) )).
% 27.68/27.95 cnf(matrix-4995, plain, ( hBOOL(hAPP(hAPP(c_member(_u9460), _u9461), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9460, tc_HOL_Obool)), _u9463), _u9462))) | ~hBOOL(hAPP(hAPP(c_member(_u9460), _u9461), _u9463)) )).
% 27.68/27.95 cnf(matrix-4996, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9464), _u9465), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9464, tc_HOL_Obool)), _u9466), _u9467))) | hBOOL(hAPP(hAPP(c_member(_u9464), _u9465), _u9466)) )).
% 27.68/27.95 cnf(matrix-4997, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9464), _u9465), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9464, tc_HOL_Obool)), _u9466), _u9467))) | ~hBOOL(hAPP(hAPP(c_member(_u9464), _u9465), _u9467)) )).
% 27.68/27.95 cnf(matrix-4998, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9468), _u9469), _u9470)) | hBOOL(hAPP(hAPP(c_member(_u9468), _u9469), _u9471)) | hBOOL(hAPP(hAPP(c_member(_u9468), _u9469), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9468, tc_HOL_Obool)), _u9470), _u9471))) )).
% 27.68/27.95 cnf(matrix-4999, plain, ( hBOOL(hAPP(hAPP(c_member(_u9472), _u9473), _u9474)) | hBOOL(hAPP(hAPP(c_member(_u9472), _u9473), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9472, tc_HOL_Obool)), _u9474))) )).
% 27.68/27.95 cnf(matrix-5000, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9475), _u9476), _u9477)) | ~hBOOL(hAPP(hAPP(_u9478, _u9476), _u9479)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9475, tc_fun(_u9480, tc_HOL_Obool)), _u9477), _u9478), _u9479)) )).
% 27.68/27.95 cnf(matrix-5001, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9481), _u9482), _u9483)) | ~hBOOL(hAPP(hAPP(c_member(_u9484), _u9485), hAPP(_u9486, _u9482))) | hBOOL(hAPP(hAPP(c_member(_u9484), _u9485), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9481, tc_fun(_u9484, tc_HOL_Obool)), _u9483), _u9486))) )).
% 27.68/27.95 cnf(matrix-5002, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9487), _u9488), hAPP(hAPP(_u9489, _u9490), _u9491))) | hBOOL(hAPP(hAPP(c_member(_u9487), _u9488), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u9492, _u9493, tc_fun(_u9487, tc_HOL_Obool)), _u9489), hAPP(hAPP(c_Product__Type_OPair(_u9492, _u9493), _u9490), _u9491)))) )).
% 27.68/27.95 cnf(matrix-5003, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9494, _u9495)), hAPP(hAPP(c_Product__Type_OPair(_u9494, _u9495), _u9496), _u9497)), _u9498)) | hBOOL(hAPP(hAPP(c_member(_u9499), hAPP(hAPP(_u9500, _u9496), _u9497)), hAPP(c_Set_Oimage(tc_prod(_u9494, _u9495), _u9499, hAPP(c_Product__Type_Oprod_Oprod__case(_u9494, _u9495, _u9499), _u9500)), _u9498))) )).
% 27.68/27.95 cnf(matrix-5004, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9501), _u9502), _u9503)) | hBOOL(hAPP(hAPP(c_member(tc_sum(_u9504, _u9501)), hAPP(c_Sum__Type_OInr(_u9501, _u9504), _u9502)), c_Sum__Type_OPlus(_u9504, _u9501, _u9505, _u9503))) )).
% 27.68/27.95 cnf(matrix-5005, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9506), _u9507), _u9508)) | hBOOL(hAPP(hAPP(c_member(tc_sum(_u9506, _u9509)), hAPP(c_Sum__Type_OInl(_u9506, _u9509), _u9507)), c_Sum__Type_OPlus(_u9506, _u9509, _u9508, _u9510))) )).
% 27.68/27.95 cnf(matrix-5006, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9515, tc_fun(_u9517, tc_HOL_Obool))), _u9519), _u9521)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9515, _u9517)), hAPP(hAPP(c_Product__Type_OPair(_u9515, _u9517), _u9519), _u9521)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9515, _u9517), tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-5007, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9516, _u9518)), hAPP(hAPP(c_Product__Type_OPair(_u9516, _u9518), _u9520), _u9522)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9516, _u9518), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9516, tc_fun(_u9518, tc_HOL_Obool))), _u9520), _u9522)) )).
% 27.68/27.95 cnf(matrix-5008, plain, ( hBOOL(hAPP(hAPP(c_member(_u9527), skolem175(_u9529, _u9527)), _u9529)) | ( _u9529 = c_Orderings_Obot__class_Obot(tc_fun(_u9527, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-5009, plain, ( ( _u9530 != c_Orderings_Obot__class_Obot(tc_fun(_u9528, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9528), _u9524), _u9530)) )).
% 27.68/27.95 cnf(matrix-5010, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9535), _u9531), _u9537)) | ( _u9537 != c_Orderings_Obot__class_Obot(tc_fun(_u9535, tc_HOL_Obool))) )).
% 27.68/27.95 cnf(matrix-5011, plain, ( ( _u9538 = c_Orderings_Obot__class_Obot(tc_fun(_u9536, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9536), skolem176(_u9538, _u9536)), _u9538)) )).
% 27.68/27.95 cnf(matrix-5012, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9539), _u9540), c_Orderings_Obot__class_Obot(tc_fun(_u9539, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-5013, plain, ( ( _u9541 != c_Orderings_Obot__class_Obot(tc_fun(_u9542, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9542), _u9543), _u9541)) )).
% 27.68/27.95 cnf(matrix-5014, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9544), _u9545), _u9546)) | ( _u9547 != hAPP(_u9548, _u9545)) | hBOOL(hAPP(hAPP(c_member(_u9549), _u9547), hAPP(c_Set_Oimage(_u9544, _u9549, _u9548), _u9546))) )).
% 27.68/27.95 cnf(matrix-5015, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9550), _u9551), _u9552)) | hBOOL(hAPP(hAPP(c_member(_u9553), hAPP(_u9554, _u9551)), hAPP(c_Set_Oimage(_u9550, _u9553, _u9554), _u9552))) )).
% 27.68/27.95 cnf(matrix-5016, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9562), _u9564), hAPP(c_Set_Oimage(_u9566, _u9562, _u9568), _u9570))) | hBOOL(hAPP(hAPP(c_member(_u9566), skolem177(_u9570, _u9568, _u9566, _u9564)), _u9570)) )).
% 27.68/27.95 cnf(matrix-5017, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9562), _u9564), hAPP(c_Set_Oimage(_u9566, _u9562, _u9568), _u9570))) | ( _u9564 = hAPP(_u9568, skolem177(_u9570, _u9568, _u9566, _u9564))) )).
% 27.68/27.95 cnf(matrix-5018, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9567), _u9556), _u9571)) | ( _u9565 != hAPP(_u9569, _u9556)) | hBOOL(hAPP(hAPP(c_member(_u9563), _u9565), hAPP(c_Set_Oimage(_u9567, _u9563, _u9569), _u9571))) )).
% 27.68/27.95 cnf(matrix-5019, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9574), _u9576)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9574)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9576))) )).
% 27.68/27.95 cnf(matrix-5020, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9575)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9577))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9575), _u9577)) )).
% 27.68/27.95 cnf(matrix-5021, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9578), _u9579), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9578, tc_HOL_Obool)), _u9580), _u9581))) | ~hBOOL(hAPP(hAPP(c_member(_u9578), _u9579), _u9581)) )).
% 27.68/27.95 cnf(matrix-5022, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9582), _u9583), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9582, tc_HOL_Obool)), _u9584), _u9585))) | hBOOL(hAPP(hAPP(c_member(_u9582), _u9583), _u9584)) )).
% 27.68/27.95 cnf(matrix-5023, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9590), _u9592), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9590, tc_HOL_Obool)), _u9594), _u9596))) | hBOOL(hAPP(hAPP(c_member(_u9590), _u9592), _u9594)) )).
% 27.68/27.95 cnf(matrix-5024, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9590), _u9592), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9590, tc_HOL_Obool)), _u9594), _u9596))) | ~hBOOL(hAPP(hAPP(c_member(_u9590), _u9592), _u9596)) )).
% 27.68/27.95 cnf(matrix-5025, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9591), _u9593), _u9595)) | hBOOL(hAPP(hAPP(c_member(_u9591), _u9593), _u9597)) | hBOOL(hAPP(hAPP(c_member(_u9591), _u9593), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9591, tc_HOL_Obool)), _u9595), _u9597))) )).
% 27.68/27.95 cnf(matrix-5026, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9602), _u9604), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9602, tc_HOL_Obool)), _u9606), _u9608))) | hBOOL(hAPP(hAPP(c_member(_u9602), _u9604), _u9606)) | hBOOL(hAPP(hAPP(c_member(_u9602), _u9604), _u9608)) )).
% 27.68/27.95 cnf(matrix-5027, plain, ( hBOOL(hAPP(hAPP(c_member(_u9603), _u9605), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9603, tc_HOL_Obool)), _u9607), _u9609))) | ~hBOOL(hAPP(hAPP(c_member(_u9603), _u9605), _u9607)) )).
% 27.68/27.95 cnf(matrix-5028, plain, ( hBOOL(hAPP(hAPP(c_member(_u9603), _u9605), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9603, tc_HOL_Obool)), _u9607), _u9609))) | ~hBOOL(hAPP(hAPP(c_member(_u9603), _u9605), _u9609)) )).
% 27.68/27.95 cnf(matrix-5029, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9610), _u9611), _u9612)) | hBOOL(hAPP(hAPP(c_member(_u9610), _u9611), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9610, tc_HOL_Obool)), _u9612), _u9613))) )).
% 27.68/27.95 cnf(matrix-5030, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9614), _u9615), _u9616)) | hBOOL(hAPP(hAPP(c_member(_u9614), _u9615), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9614, tc_HOL_Obool)), _u9617), _u9616))) )).
% 27.68/27.95 cnf(matrix-5031, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9620, tc_HOL_Obool)), _u9622)) | hBOOL(hAPP(hAPP(c_member(_u9620), _u9622), c_Orderings_Obot__class_Obot(tc_fun(_u9620, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-5032, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9621), _u9623), c_Orderings_Obot__class_Obot(tc_fun(_u9621, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9621, tc_HOL_Obool)), _u9623)) )).
% 27.68/27.95 cnf(matrix-5033, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9629), _u9631), c_SetInterval_Oord_OatLeastAtMost(_u9629, _u9633, _u9635, _u9637))) | hBOOL(hAPP(hAPP(_u9633, _u9635), _u9631)) )).
% 27.68/27.95 cnf(matrix-5034, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9629), _u9631), c_SetInterval_Oord_OatLeastAtMost(_u9629, _u9633, _u9635, _u9637))) | hBOOL(hAPP(hAPP(_u9633, _u9631), _u9637)) )).
% 27.68/27.95 cnf(matrix-5035, plain, ( ~hBOOL(hAPP(hAPP(_u9634, _u9636), _u9632)) | ~hBOOL(hAPP(hAPP(_u9634, _u9632), _u9638)) | hBOOL(hAPP(hAPP(c_member(_u9630), _u9632), c_SetInterval_Oord_OatLeastAtMost(_u9630, _u9634, _u9636, _u9638))) )).
% 27.68/27.95 cnf(matrix-5036, plain, ( ( _u9647 = _u9649) | ( hAPP(hAPP(c_COMBC(_u9643, tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_fun(_u9645, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9645, tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_fun(_u9645, tc_HOL_Obool)), _u9643), c_COMBC(_u9645, tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9645, tc_prod(_u9643, _u9645)), tc_fun(_u9645, tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool)), _u9643), hAPP(c_COMBB(tc_prod(_u9643, _u9645), tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool), _u9645), c_member(tc_prod(_u9643, _u9645)))), c_Product__Type_OPair(_u9643, _u9645)))), _u9647) != hAPP(hAPP(c_COMBC(_u9643, tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_fun(_u9645, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9645, tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_fun(_u9645, tc_HOL_Obool)), _u9643), c_COMBC(_u9645, tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9645, tc_prod(_u9643, _u9645)), tc_fun(_u9645, tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool)), _u9643), hAPP(c_COMBB(tc_prod(_u9643, _u9645), tc_fun(tc_fun(tc_prod(_u9643, _u9645), tc_HOL_Obool), tc_HOL_Obool), _u9645), c_member(tc_prod(_u9643, _u9645)))), c_Product__Type_OPair(_u9643, _u9645)))), _u9649)) )).
% 27.68/27.95 cnf(matrix-5037, plain, ( ( _u9648 != _u9650) | ( hAPP(hAPP(c_COMBC(_u9644, tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_fun(_u9646, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9646, tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_fun(_u9646, tc_HOL_Obool)), _u9644), c_COMBC(_u9646, tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9646, tc_prod(_u9644, _u9646)), tc_fun(_u9646, tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool)), _u9644), hAPP(c_COMBB(tc_prod(_u9644, _u9646), tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool), _u9646), c_member(tc_prod(_u9644, _u9646)))), c_Product__Type_OPair(_u9644, _u9646)))), _u9648) = hAPP(hAPP(c_COMBC(_u9644, tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_fun(_u9646, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9646, tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_fun(_u9646, tc_HOL_Obool)), _u9644), c_COMBC(_u9646, tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9646, tc_prod(_u9644, _u9646)), tc_fun(_u9646, tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool)), _u9644), hAPP(c_COMBB(tc_prod(_u9644, _u9646), tc_fun(tc_fun(tc_prod(_u9644, _u9646), tc_HOL_Obool), tc_HOL_Obool), _u9646), c_member(tc_prod(_u9644, _u9646)))), c_Product__Type_OPair(_u9644, _u9646)))), _u9650)) )).
% 27.68/27.95 cnf(matrix-5038, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9657, tc_fun(_u9659, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9657, tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_fun(_u9659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9659, tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_fun(_u9659, tc_HOL_Obool)), _u9657), c_COMBC(_u9659, tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9659, tc_prod(_u9657, _u9659)), tc_fun(_u9659, tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool)), _u9657), hAPP(c_COMBB(tc_prod(_u9657, _u9659), tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool), _u9659), c_member(tc_prod(_u9657, _u9659)))), c_Product__Type_OPair(_u9657, _u9659)))), _u9661)), hAPP(hAPP(c_COMBC(_u9657, tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_fun(_u9659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9659, tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_fun(_u9659, tc_HOL_Obool)), _u9657), c_COMBC(_u9659, tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9659, tc_prod(_u9657, _u9659)), tc_fun(_u9659, tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool)), _u9657), hAPP(c_COMBB(tc_prod(_u9657, _u9659), tc_fun(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool), tc_HOL_Obool), _u9659), c_member(tc_prod(_u9657, _u9659)))), c_Product__Type_OPair(_u9657, _u9659)))), _u9663)), _u9665), _u9667)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9657, _u9659)), hAPP(hAPP(c_Product__Type_OPair(_u9657, _u9659), _u9665), _u9667)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u9657, _u9659), tc_HOL_Obool)), _u9661), _u9663))) )).
% 27.68/27.95 cnf(matrix-5039, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9658, _u9660)), hAPP(hAPP(c_Product__Type_OPair(_u9658, _u9660), _u9666), _u9668)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool)), _u9662), _u9664))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9658, tc_fun(_u9660, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9658, tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_fun(_u9660, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9660, tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_fun(_u9660, tc_HOL_Obool)), _u9658), c_COMBC(_u9660, tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9660, tc_prod(_u9658, _u9660)), tc_fun(_u9660, tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool)), _u9658), hAPP(c_COMBB(tc_prod(_u9658, _u9660), tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool), _u9660), c_member(tc_prod(_u9658, _u9660)))), c_Product__Type_OPair(_u9658, _u9660)))), _u9662)), hAPP(hAPP(c_COMBC(_u9658, tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_fun(_u9660, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9660, tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_fun(_u9660, tc_HOL_Obool)), _u9658), c_COMBC(_u9660, tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9660, tc_prod(_u9658, _u9660)), tc_fun(_u9660, tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool)), _u9658), hAPP(c_COMBB(tc_prod(_u9658, _u9660), tc_fun(tc_fun(tc_prod(_u9658, _u9660), tc_HOL_Obool), tc_HOL_Obool), _u9660), c_member(tc_prod(_u9658, _u9660)))), c_Product__Type_OPair(_u9658, _u9660)))), _u9664)), _u9666), _u9668)) )).
% 27.68/27.95 cnf(matrix-5040, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9672, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9672, tc_fun(_u9672, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9672)), _u9674)), hAPP(hAPP(c_COMBC(_u9672, tc_fun(_u9672, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9672)), _u9676))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9672, tc_HOL_Obool)), _u9674), _u9676)) )).
% 27.68/27.95 cnf(matrix-5041, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9673, tc_HOL_Obool)), _u9675), _u9677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9673, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9673, tc_fun(_u9673, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9673)), _u9675)), hAPP(hAPP(c_COMBC(_u9673, tc_fun(_u9673, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9673)), _u9677))) )).
% 27.68/27.95 cnf(matrix-5042, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9682, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9682, tc_fun(_u9682, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9682)), _u9684)), hAPP(hAPP(c_COMBC(_u9682, tc_fun(_u9682, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9682)), _u9686)), _u9688)) | hBOOL(hAPP(hAPP(c_member(_u9682), _u9688), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9682, tc_HOL_Obool)), _u9684), _u9686))) )).
% 27.68/27.95 cnf(matrix-5043, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9683), _u9689), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9683, tc_HOL_Obool)), _u9685), _u9687))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9683, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9683, tc_fun(_u9683, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9683)), _u9685)), hAPP(hAPP(c_COMBC(_u9683, tc_fun(_u9683, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9683)), _u9687)), _u9689)) )).
% 27.68/27.95 cnf(matrix-5044, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9690, tc_HOL_Obool)), _u9691), _u9692)) | ~hBOOL(hAPP(hAPP(c_member(_u9690), _u9693), _u9691)) | hBOOL(hAPP(hAPP(c_member(_u9690), _u9693), _u9692)) )).
% 27.68/27.95 cnf(matrix-5045, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9694), _u9695), _u9696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9694, tc_HOL_Obool)), _u9696), _u9697)) | hBOOL(hAPP(hAPP(c_member(_u9694), _u9695), _u9697)) )).
% 27.68/27.95 cnf(matrix-5046, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9698, tc_HOL_Obool)), _u9699), _u9700)) | ~hBOOL(hAPP(hAPP(c_member(_u9698), _u9701), _u9699)) | hBOOL(hAPP(hAPP(c_member(_u9698), _u9701), _u9700)) )).
% 27.68/27.95 cnf(matrix-5047, plain, ( ( hAPP(c_Int_ORep__Integ, _u9704) != hAPP(c_Int_ORep__Integ, _u9706)) | ( _u9704 = _u9706) )).
% 27.68/27.95 cnf(matrix-5048, plain, ( ( _u9705 != _u9707) | ( hAPP(c_Int_ORep__Integ, _u9705) = hAPP(c_Int_ORep__Integ, _u9707)) )).
% 27.68/27.95 cnf(matrix-5049, plain, ( hBOOL(hAPP(_u9715, _u9713)) | ~hBOOL(hAPP(hAPP(c_member(_u9711), _u9713), _u9715)) )).
% 27.68/27.95 cnf(matrix-5050, plain, ( ~hBOOL(hAPP(_u9716, _u9714)) | hBOOL(hAPP(hAPP(c_member(_u9712), _u9714), _u9716)) )).
% 27.68/27.95 cnf(matrix-5051, plain, ( ( _u9717 != _u9718) | ~hBOOL(hAPP(hAPP(c_member(_u9719), _u9720), _u9717)) | hBOOL(hAPP(hAPP(c_member(_u9719), _u9720), _u9718)) )).
% 27.68/27.95 cnf(matrix-5052, plain, ( ( _u9717 != _u9718) | ~hBOOL(hAPP(hAPP(c_member(_u9719), _u9720), _u9718)) | hBOOL(hAPP(hAPP(c_member(_u9719), _u9720), _u9717)) )).
% 27.68/27.95 cnf(matrix-5053, plain, ( ( _u9721 != _u9722) | ~hBOOL(hAPP(hAPP(c_member(_u9723), _u9721), _u9724)) | hBOOL(hAPP(hAPP(c_member(_u9723), _u9722), _u9724)) )).
% 27.68/27.95 cnf(matrix-5054, plain, ( ( _u9721 != _u9722) | ~hBOOL(hAPP(hAPP(c_member(_u9723), _u9722), _u9724)) | hBOOL(hAPP(hAPP(c_member(_u9723), _u9721), _u9724)) )).
% 27.68/27.95 cnf(matrix-5055, plain, ( ( _u9725 != _u9726) | ~hBOOL(hAPP(hAPP(c_member(_u9727), _u9726), _u9728)) | hBOOL(hAPP(hAPP(c_member(_u9727), _u9725), _u9728)) )).
% 27.68/27.95 cnf(matrix-5056, plain, ( ( _u9734 = _u9736) | ~hBOOL(hAPP(hAPP(c_member(_u9732), _u9734), hAPP(c_fequal, _u9736))) )).
% 27.68/27.95 cnf(matrix-5057, plain, ( ( _u9735 != _u9737) | hBOOL(hAPP(hAPP(c_member(_u9733), _u9735), hAPP(c_fequal, _u9737))) )).
% 27.68/27.95 cnf(matrix-5058, plain, ( ( _u9743 = _u9745) | ( hAPP(hAPP(c_COMBC(_u9741, tc_fun(_u9741, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9741)), _u9743) != hAPP(hAPP(c_COMBC(_u9741, tc_fun(_u9741, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9741)), _u9745)) )).
% 27.68/27.95 cnf(matrix-5059, plain, ( ( _u9744 != _u9746) | ( hAPP(hAPP(c_COMBC(_u9742, tc_fun(_u9742, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9742)), _u9744) = hAPP(hAPP(c_COMBC(_u9742, tc_fun(_u9742, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9742)), _u9746)) )).
% 27.68/27.95 cnf(matrix-5060, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9750), _u9752), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9750, tc_HOL_Obool)), _u9754))) | ~hBOOL(hAPP(hAPP(c_member(_u9750), _u9752), _u9754)) )).
% 27.68/27.95 cnf(matrix-5061, plain, ( hBOOL(hAPP(hAPP(c_member(_u9751), _u9753), _u9755)) | hBOOL(hAPP(hAPP(c_member(_u9751), _u9753), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9751, tc_HOL_Obool)), _u9755))) )).
% 27.68/27.95 cnf(matrix-5062, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9756), _u9757), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9756, tc_HOL_Obool)), _u9758))) | ~hBOOL(hAPP(hAPP(c_member(_u9756), _u9757), _u9758)) )).
% 27.68/27.95 cnf(matrix-5063, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9759), _u9760), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9759, tc_HOL_Obool)), _u9761))) | ~hBOOL(hAPP(hAPP(c_member(_u9759), _u9760), _u9761)) )).
% 27.68/27.95 cnf(matrix-5064, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9762, tc_HOL_Obool)), _u9763), _u9764)) | ~hBOOL(hAPP(hAPP(c_member(_u9762), _u9765), _u9763)) | hBOOL(hAPP(hAPP(c_member(_u9762), _u9765), _u9764)) )).
% 27.68/27.95 cnf(matrix-5065, plain, ( ~c_Typedef_Otype__definition(_u9766, _u9767, _u9768, _u9769, _u9770) | ~hBOOL(hAPP(hAPP(c_member(_u9767), _u9771), _u9770)) | ~hBOOL(hAPP(hAPP(c_member(_u9767), _u9772), _u9770)) | ( hAPP(_u9769, _u9771) != hAPP(_u9769, _u9772)) | ( _u9771 = _u9772) )).
% 27.68/27.95 cnf(matrix-5066, plain, ( ~c_Typedef_Otype__definition(_u9766, _u9767, _u9768, _u9769, _u9770) | ~hBOOL(hAPP(hAPP(c_member(_u9767), _u9771), _u9770)) | ~hBOOL(hAPP(hAPP(c_member(_u9767), _u9772), _u9770)) | ( _u9771 != _u9772) | ( hAPP(_u9769, _u9771) = hAPP(_u9769, _u9772)) )).
% 27.68/27.95 cnf(matrix-5067, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9774), _u9778), _u9777)) | ( hAPP(_u9775, hAPP(_u9776, _u9778)) = _u9778) | ~c_Typedef_Otype__definition(_u9773, _u9774, _u9775, _u9776, _u9777) )).
% 27.68/27.95 cnf(matrix-5068, plain, ( hBOOL(hAPP(hAPP(c_member(_u9780), hAPP(_u9781, _u9784)), _u9783)) | ~c_Typedef_Otype__definition(_u9779, _u9780, _u9781, _u9782, _u9783) )).
% 27.68/27.95 cnf(matrix-5069, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9785), _u9786), _u9787)) | ( hAPP(hAPP(c_Set_Oinsert(_u9785), _u9786), _u9787) = _u9787) )).
% 27.68/27.95 cnf(matrix-5070, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9788), _u9789), _u9790)) | hBOOL(hAPP(hAPP(c_member(_u9788), _u9789), hAPP(hAPP(c_Set_Oinsert(_u9788), _u9791), _u9790))) )).
% 27.68/27.95 cnf(matrix-5071, plain, ( hBOOL(hAPP(hAPP(c_member(_u9792), _u9793), _u9794)) | hBOOL(hAPP(hAPP(c_member(_u9792), _u9793), _u9795)) | ( hAPP(hAPP(c_Set_Oinsert(_u9792), _u9793), _u9794) != hAPP(hAPP(c_Set_Oinsert(_u9792), _u9793), _u9795)) | ( _u9794 = _u9795) )).
% 27.68/27.95 cnf(matrix-5072, plain, ( hBOOL(hAPP(hAPP(c_member(_u9792), _u9793), _u9794)) | hBOOL(hAPP(hAPP(c_member(_u9792), _u9793), _u9795)) | ( _u9794 != _u9795) | ( hAPP(hAPP(c_Set_Oinsert(_u9792), _u9793), _u9794) = hAPP(hAPP(c_Set_Oinsert(_u9792), _u9793), _u9795)) )).
% 27.68/27.95 cnf(matrix-5073, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9800), _u9802), hAPP(hAPP(c_Set_Oinsert(_u9800), _u9804), _u9806))) | ( _u9802 = _u9804) | hBOOL(hAPP(hAPP(c_member(_u9800), _u9802), _u9806)) )).
% 27.68/27.95 cnf(matrix-5074, plain, ( hBOOL(hAPP(hAPP(c_member(_u9801), _u9803), hAPP(hAPP(c_Set_Oinsert(_u9801), _u9805), _u9807))) | ( _u9803 != _u9805) )).
% 27.68/27.95 cnf(matrix-5075, plain, ( hBOOL(hAPP(hAPP(c_member(_u9801), _u9803), hAPP(hAPP(c_Set_Oinsert(_u9801), _u9805), _u9807))) | ~hBOOL(hAPP(hAPP(c_member(_u9801), _u9803), _u9807)) )).
% 27.68/27.95 cnf(matrix-5076, plain, ( hBOOL(hAPP(hAPP(c_member(_u9808), _u9809), hAPP(hAPP(c_Set_Oinsert(_u9808), _u9809), _u9810))) )).
% 27.68/27.95 cnf(matrix-5077, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9812), _u9817)) | hBOOL(hAPP(hAPP(c_member(_u9812), _u9818), _u9817)) | ( hAPP(_u9816, hAPP(hAPP(c_Set_Oinsert(_u9812), _u9818), _u9817)) = hAPP(hAPP(_u9813, hAPP(_u9815, _u9818)), hAPP(_u9816, _u9817))) | ~c_Finite__Set_Ofolding__image__simple(_u9811, _u9812, _u9813, _u9814, _u9815, _u9816) )).
% 27.68/27.95 cnf(matrix-5078, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9826), _u9828), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9830, tc_fun(_u9826, tc_HOL_Obool)), _u9832), _u9834))) | hBOOL(hAPP(hAPP(c_member(_u9830), skolem178(_u9834, _u9832, _u9830, _u9828, _u9826)), _u9832)) )).
% 27.68/27.95 cnf(matrix-5079, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9826), _u9828), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9830, tc_fun(_u9826, tc_HOL_Obool)), _u9832), _u9834))) | hBOOL(hAPP(hAPP(c_member(_u9826), _u9828), hAPP(_u9834, skolem178(_u9834, _u9832, _u9830, _u9828, _u9826)))) )).
% 27.68/27.95 cnf(matrix-5080, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9831), _u9820), _u9833)) | ~hBOOL(hAPP(hAPP(c_member(_u9827), _u9829), hAPP(_u9835, _u9820))) | hBOOL(hAPP(hAPP(c_member(_u9827), _u9829), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9831, tc_fun(_u9827, tc_HOL_Obool)), _u9833), _u9835))) )).
% 27.68/27.95 cnf(matrix-5081, plain, ( ( hAPP(_u9841, c_Orderings_Obot__class_Obot(tc_fun(_u9837, tc_HOL_Obool))) = _u9839) | ~c_Finite__Set_Ofolding__image__simple(_u9836, _u9837, _u9838, _u9839, _u9840, _u9841) )).
% 27.68/27.95 cnf(matrix-5082, plain, ( ( _u9847 = _u9849) | ~hBOOL(hAPP(hAPP(c_member(_u9845), _u9847), hAPP(hAPP(c_Set_Oinsert(_u9845), _u9849), c_Orderings_Obot__class_Obot(tc_fun(_u9845, tc_HOL_Obool))))) )).
% 27.68/27.95 cnf(matrix-5083, plain, ( ( _u9848 != _u9850) | hBOOL(hAPP(hAPP(c_member(_u9846), _u9848), hAPP(hAPP(c_Set_Oinsert(_u9846), _u9850), c_Orderings_Obot__class_Obot(tc_fun(_u9846, tc_HOL_Obool))))) )).
% 27.68/27.95 cnf(matrix-5084, plain, ( ( _u9852 = _u9853) | ~hBOOL(hAPP(hAPP(c_member(_u9851), _u9852), hAPP(hAPP(c_Set_Oinsert(_u9851), _u9853), c_Orderings_Obot__class_Obot(tc_fun(_u9851, tc_HOL_Obool))))) )).
% 27.68/27.95 cnf(matrix-5085, plain, ( hBOOL(hAPP(hAPP(c_member(_u9854), _u9855), _u9856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9854, tc_HOL_Obool)), _u9856), hAPP(hAPP(c_Set_Oinsert(_u9854), _u9855), _u9857))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9854, tc_HOL_Obool)), _u9856), _u9857)) )).
% 27.68/27.95 cnf(matrix-5086, plain, ( hBOOL(hAPP(hAPP(c_member(_u9854), _u9855), _u9856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9854, tc_HOL_Obool)), _u9856), _u9857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9854, tc_HOL_Obool)), _u9856), hAPP(hAPP(c_Set_Oinsert(_u9854), _u9855), _u9857))) )).
% 27.68/27.95 cnf(matrix-5087, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9862, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9862), _u9864), _u9866)), _u9868)) | hBOOL(hAPP(hAPP(c_member(_u9862), _u9864), _u9868)) )).
% 27.68/27.95 cnf(matrix-5088, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9862, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9862), _u9864), _u9866)), _u9868)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9862, tc_HOL_Obool)), _u9866), _u9868)) )).
% 27.68/27.95 cnf(matrix-5089, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9863), _u9865), _u9869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9863, tc_HOL_Obool)), _u9867), _u9869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9863, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9863), _u9865), _u9867)), _u9869)) )).
% 27.68/27.95 cnf(matrix-5090, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9870), _u9871), _u9872)) | ( hAPP(hAPP(c_Set_Oinsert(_u9873), hAPP(_u9874, _u9871)), hAPP(c_Set_Oimage(_u9870, _u9873, _u9874), _u9872)) = hAPP(c_Set_Oimage(_u9870, _u9873, _u9874), _u9872)) )).
% 27.68/27.95 cnf(matrix-5091, plain, ( ( _u9875 != hAPP(_u9876, _u9877)) | hBOOL(hAPP(hAPP(c_member(_u9878), _u9875), hAPP(c_Set_Oimage(_u9879, _u9878, _u9876), c_Orderings_Otop__class_Otop(tc_fun(_u9879, tc_HOL_Obool))))) )).
% 27.68/27.95 cnf(matrix-5092, plain, ( hBOOL(hAPP(hAPP(c_member(_u9880), hAPP(_u9881, _u9882)), hAPP(c_Set_Oimage(_u9883, _u9880, _u9881), c_Orderings_Otop__class_Otop(tc_fun(_u9883, tc_HOL_Obool))))) )).
% 27.68/27.95 cnf(matrix-5093, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9888), _u9890), _u9892)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9888, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9888), _u9890), _u9894)), _u9892) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9888, tc_HOL_Obool)), _u9894), _u9892)) )).
% 27.68/27.95 cnf(matrix-5094, plain, ( hBOOL(hAPP(hAPP(c_member(_u9889), _u9891), _u9893)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9889, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9889), _u9891), _u9895)), _u9893) = hAPP(hAPP(c_Set_Oinsert(_u9889), _u9891), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9889, tc_HOL_Obool)), _u9895), _u9893))) )).
% 27.68/27.95 cnf(matrix-5095, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9896), _u9897), _u9898)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9896, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9896), _u9897), _u9899)), _u9898) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9896, tc_HOL_Obool)), _u9899), _u9898)) )).
% 27.68/27.95 cnf(matrix-5096, plain, ( ~class_Orderings_Oord(_u9900) | ~hBOOL(hAPP(hAPP(c_member(_u9900), _u9901), hAPP(c_SetInterval_Oord__class_OlessThan(_u9900), _u9902))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9900), _u9901), _u9902)) )).
% 27.68/27.95 cnf(matrix-5097, plain, ( ~class_Orderings_Oord(_u9900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9900), _u9901), _u9902)) | hBOOL(hAPP(hAPP(c_member(_u9900), _u9901), hAPP(c_SetInterval_Oord__class_OlessThan(_u9900), _u9902))) )).
% 27.68/27.95 cnf(matrix-5098, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9908), _u9910), c_SetInterval_Oord_OgreaterThanLessThan(_u9908, _u9912, _u9914, _u9916))) | hBOOL(hAPP(hAPP(_u9912, _u9914), _u9910)) )).
% 27.68/27.95 cnf(matrix-5099, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9908), _u9910), c_SetInterval_Oord_OgreaterThanLessThan(_u9908, _u9912, _u9914, _u9916))) | hBOOL(hAPP(hAPP(_u9912, _u9910), _u9916)) )).
% 27.68/27.95 cnf(matrix-5100, plain, ( ~hBOOL(hAPP(hAPP(_u9913, _u9915), _u9911)) | ~hBOOL(hAPP(hAPP(_u9913, _u9911), _u9917)) | hBOOL(hAPP(hAPP(c_member(_u9909), _u9911), c_SetInterval_Oord_OgreaterThanLessThan(_u9909, _u9913, _u9915, _u9917))) )).
% 27.68/27.95 cnf(matrix-5101, plain, ( ~c_Nat__Transfer_Ois__nat(_u9918) | ~c_Nat__Transfer_Onat__set(_u9919) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9918), _u9919)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u9918)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9919))) )).
% 27.68/27.95 cnf(matrix-5102, plain, ( ~c_Nat__Transfer_Ois__nat(_u9918) | ~c_Nat__Transfer_Onat__set(_u9919) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u9918)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9919))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9918), _u9919)) )).
% 27.68/27.95 cnf(matrix-5103, plain, ( ~class_Orderings_Oord(_u9920) | ~hBOOL(hAPP(hAPP(c_member(_u9920), _u9921), hAPP(c_SetInterval_Oord__class_OatMost(_u9920), _u9922))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9920), _u9921), _u9922)) )).
% 27.68/27.95 cnf(matrix-5104, plain, ( ~class_Orderings_Oord(_u9920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9920), _u9921), _u9922)) | hBOOL(hAPP(hAPP(c_member(_u9920), _u9921), hAPP(c_SetInterval_Oord__class_OatMost(_u9920), _u9922))) )).
% 27.68/27.95 cnf(matrix-5105, plain, ( ~class_Orderings_Oord(_u9923) | ~hBOOL(hAPP(hAPP(c_member(_u9923), _u9924), hAPP(c_SetInterval_Oord__class_OatLeast(_u9923), _u9925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9923), _u9925), _u9924)) )).
% 27.68/27.95 cnf(matrix-5106, plain, ( ~class_Orderings_Oord(_u9923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9923), _u9925), _u9924)) | hBOOL(hAPP(hAPP(c_member(_u9923), _u9924), hAPP(c_SetInterval_Oord__class_OatLeast(_u9923), _u9925))) )).
% 27.68/27.95 cnf(matrix-5107, plain, ( ~class_Orderings_Oord(_u9926) | ~hBOOL(hAPP(hAPP(c_member(_u9926), _u9927), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u9926), _u9928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9926), _u9928), _u9927)) )).
% 27.68/27.95 cnf(matrix-5108, plain, ( ~class_Orderings_Oord(_u9926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9926), _u9928), _u9927)) | hBOOL(hAPP(hAPP(c_member(_u9926), _u9927), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u9926), _u9928))) )).
% 27.68/27.95 cnf(matrix-5109, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9929), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9930), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u9929) != hAPP(c_Code__Numeral_Oof__nat, _u9930)) | ( _u9929 = _u9930) )).
% 27.68/27.95 cnf(matrix-5110, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9929), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9930), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9929 != _u9930) | ( hAPP(c_Code__Numeral_Oof__nat, _u9929) = hAPP(c_Code__Numeral_Oof__nat, _u9930)) )).
% 27.68/27.95 cnf(matrix-5111, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9931) | ~hBOOL(hAPP(hAPP(c_member(_u9932), _u9933), _u9934)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9931), hAPP(_u9935, _u9933)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9932, _u9931), _u9934), _u9935))) )).
% 27.68/27.95 cnf(matrix-5112, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u9936)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 27.68/27.95 cnf(matrix-5113, plain, ( ~c_Nat__Transfer_Onat__set(_u9937) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9938), _u9937)) | c_Nat__Transfer_Ois__nat(_u9938) )).
% 27.68/27.95 cnf(matrix-5114, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9945, tc_fun(_u9947, tc_fun(_u9949, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9945, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_fun(_u9947, tc_fun(_u9949, tc_HOL_Obool)), _u9945), hAPP(c_COMBC(_u9947, tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_fun(_u9949, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9949, tc_fun(tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_fun(_u9949, tc_HOL_Obool)), _u9947), c_COMBC(_u9949, tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9949, tc_prod(_u9947, _u9949)), tc_fun(_u9949, tc_fun(tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_HOL_Obool)), _u9947), hAPP(c_COMBB(tc_prod(_u9947, _u9949), tc_fun(tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool), tc_HOL_Obool), _u9949), c_member(tc_prod(_u9947, _u9949)))), c_Product__Type_OPair(_u9947, _u9949))))), _u9951)), _u9953), _u9955)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9947, _u9949)), hAPP(hAPP(c_Product__Type_OPair(_u9947, _u9949), _u9953), _u9955)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9945, tc_fun(tc_prod(_u9947, _u9949), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9945, tc_HOL_Obool))), _u9951))) )).
% 27.68/27.95 cnf(matrix-5115, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9948, _u9950)), hAPP(hAPP(c_Product__Type_OPair(_u9948, _u9950), _u9954), _u9956)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9946, tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9946, tc_HOL_Obool))), _u9952))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9946, tc_fun(_u9948, tc_fun(_u9950, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9946, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_fun(_u9948, tc_fun(_u9950, tc_HOL_Obool)), _u9946), hAPP(c_COMBC(_u9948, tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_fun(_u9950, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9950, tc_fun(tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_fun(_u9950, tc_HOL_Obool)), _u9948), c_COMBC(_u9950, tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9950, tc_prod(_u9948, _u9950)), tc_fun(_u9950, tc_fun(tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_HOL_Obool)), _u9948), hAPP(c_COMBB(tc_prod(_u9948, _u9950), tc_fun(tc_fun(tc_prod(_u9948, _u9950), tc_HOL_Obool), tc_HOL_Obool), _u9950), c_member(tc_prod(_u9948, _u9950)))), c_Product__Type_OPair(_u9948, _u9950))))), _u9952)), _u9954), _u9956)) )).
% 27.68/27.95 cnf(matrix-5116, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9958), _u9963)) | ~hBOOL(hAPP(hAPP(c_member(_u9958), _u9964), _u9963)) | ( hAPP(_u9962, _u9963) = hAPP(hAPP(_u9959, hAPP(_u9961, _u9964)), hAPP(_u9962, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9958, tc_HOL_Obool)), _u9963), hAPP(hAPP(c_Set_Oinsert(_u9958), _u9964), c_Orderings_Obot__class_Obot(tc_fun(_u9958, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u9957, _u9958, _u9959, _u9960, _u9961, _u9962) )).
% 27.68/27.95 cnf(matrix-5117, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9965), _u9966), _u9967)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9965, tc_fun(_u9968, tc_HOL_Obool)), _u9967), hAPP(hAPP(c_COMBB(tc_fun(_u9968, tc_HOL_Obool), tc_fun(_u9968, tc_HOL_Obool), _u9965), hAPP(c_Set_Oinsert(_u9968), _u9969)), _u9970)) = hAPP(hAPP(c_Set_Oinsert(_u9968), _u9969), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9965, tc_fun(_u9968, tc_HOL_Obool)), _u9967), _u9970))) )).
% 27.68/27.95 cnf(matrix-5118, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9971), _u9972), _u9973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9974, tc_HOL_Obool)), hAPP(_u9975, _u9972)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9971, tc_fun(_u9974, tc_HOL_Obool)), _u9973), _u9975))) )).
% 27.68/27.95 cnf(matrix-5119, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9980, tc_fun(_u9982, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9980, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9982, tc_HOL_Obool), tc_fun(_u9982, tc_HOL_Obool), _u9980), hAPP(c_COMBC(_u9982, tc_fun(_u9982, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9982))), _u9984)), _u9986)) | hBOOL(hAPP(hAPP(c_member(_u9982), _u9986), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9980, tc_fun(_u9982, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9980, tc_HOL_Obool))), _u9984))) )).
% 27.68/27.95 cnf(matrix-5120, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9983), _u9987), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9981, tc_fun(_u9983, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9981, tc_HOL_Obool))), _u9985))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9981, tc_fun(_u9983, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9981, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9983, tc_HOL_Obool), tc_fun(_u9983, tc_HOL_Obool), _u9981), hAPP(c_COMBC(_u9983, tc_fun(_u9983, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9983))), _u9985)), _u9987)) )).
% 27.68/27.95 cnf(matrix-5121, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9988), _u9989), _u9990)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9991, tc_HOL_Obool)), hAPP(_u9992, _u9989)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9988, tc_fun(_u9991, tc_HOL_Obool)), _u9990), _u9992)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9988, tc_fun(_u9991, tc_HOL_Obool)), _u9990), _u9992)) )).
% 27.68/27.95 cnf(matrix-5122, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9996), _u9998), c_Option_Oset(_u9996, _u10000))) | ( _u10000 = hAPP(c_Option_Ooption_OSome(_u9996), _u9998)) )).
% 27.68/27.95 cnf(matrix-5123, plain, ( ( _u10001 != hAPP(c_Option_Ooption_OSome(_u9997), _u9999)) | hBOOL(hAPP(hAPP(c_member(_u9997), _u9999), c_Option_Oset(_u9997, _u10001))) )).
% 27.68/27.95 cnf(matrix-5124, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10006, tc_fun(_u10008, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10006, tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_fun(_u10008, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10008, tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_fun(_u10008, tc_HOL_Obool)), _u10006), c_COMBC(_u10008, tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10008, tc_prod(_u10006, _u10008)), tc_fun(_u10008, tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool)), _u10006), hAPP(c_COMBB(tc_prod(_u10006, _u10008), tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool), _u10008), c_member(tc_prod(_u10006, _u10008)))), c_Product__Type_OPair(_u10006, _u10008)))), _u10010)), hAPP(hAPP(c_COMBC(_u10006, tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_fun(_u10008, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10008, tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_fun(_u10008, tc_HOL_Obool)), _u10006), c_COMBC(_u10008, tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10008, tc_prod(_u10006, _u10008)), tc_fun(_u10008, tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool)), _u10006), hAPP(c_COMBB(tc_prod(_u10006, _u10008), tc_fun(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool), tc_HOL_Obool), _u10008), c_member(tc_prod(_u10006, _u10008)))), c_Product__Type_OPair(_u10006, _u10008)))), _u10012))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10006, _u10008), tc_HOL_Obool)), _u10010), _u10012)) )).
% 27.68/27.95 cnf(matrix-5125, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool)), _u10011), _u10013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10007, tc_fun(_u10009, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10007, tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_fun(_u10009, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10009, tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_fun(_u10009, tc_HOL_Obool)), _u10007), c_COMBC(_u10009, tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10009, tc_prod(_u10007, _u10009)), tc_fun(_u10009, tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool)), _u10007), hAPP(c_COMBB(tc_prod(_u10007, _u10009), tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool), _u10009), c_member(tc_prod(_u10007, _u10009)))), c_Product__Type_OPair(_u10007, _u10009)))), _u10011)), hAPP(hAPP(c_COMBC(_u10007, tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_fun(_u10009, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10009, tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_fun(_u10009, tc_HOL_Obool)), _u10007), c_COMBC(_u10009, tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10009, tc_prod(_u10007, _u10009)), tc_fun(_u10009, tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool)), _u10007), hAPP(c_COMBB(tc_prod(_u10007, _u10009), tc_fun(tc_fun(tc_prod(_u10007, _u10009), tc_HOL_Obool), tc_HOL_Obool), _u10009), c_member(tc_prod(_u10007, _u10009)))), c_Product__Type_OPair(_u10007, _u10009)))), _u10013))) )).
% 27.68/27.95 cnf(matrix-5126, plain, ( hBOOL(hAPP(hAPP(c_member(_u10014), _u10015), _u10016)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10014, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10014), _u10015), _u10016)), hAPP(hAPP(c_Set_Oinsert(_u10014), _u10015), c_Orderings_Obot__class_Obot(tc_fun(_u10014, tc_HOL_Obool)))) = _u10016) )).
% 27.68/27.95 cnf(matrix-5127, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10017), _u10018), _u10019)) | ( hAPP(hAPP(c_Set_Oinsert(_u10017), _u10018), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10017, tc_HOL_Obool)), _u10019), hAPP(hAPP(c_Set_Oinsert(_u10017), _u10018), c_Orderings_Obot__class_Obot(tc_fun(_u10017, tc_HOL_Obool))))) = _u10019) )).
% 27.71/27.95 cnf(matrix-5128, plain, ( ~c_Nat__Transfer_Onat__set(_u10020) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10021), _u10020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10021)) )).
% 27.71/27.95 cnf(matrix-5129, plain, ( ~class_Groups_Ocomm__monoid__add(_u10022) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10023), _u10024)) | ~hBOOL(hAPP(hAPP(c_member(_u10023), _u10025), _u10024)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10023, _u10022), hAPP(hAPP(c_COMBC(_u10023, _u10022, _u10022), hAPP(hAPP(c_COMBS(_u10023, _u10022, tc_fun(_u10022, _u10022)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10022, tc_fun(_u10022, _u10022)), _u10023), c_If(_u10022)), hAPP(c_fequal, _u10025))), _u10026)), c_Groups_Ozero__class_Ozero(_u10022))), _u10024) = hAPP(_u10026, _u10025)) )).
% 27.71/27.95 cnf(matrix-5130, plain, ( ~class_Groups_Ocomm__monoid__add(_u10022) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10023), _u10024)) | hBOOL(hAPP(hAPP(c_member(_u10023), _u10025), _u10024)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10023, _u10022), hAPP(hAPP(c_COMBC(_u10023, _u10022, _u10022), hAPP(hAPP(c_COMBS(_u10023, _u10022, tc_fun(_u10022, _u10022)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10022, tc_fun(_u10022, _u10022)), _u10023), c_If(_u10022)), hAPP(c_fequal, _u10025))), _u10026)), c_Groups_Ozero__class_Ozero(_u10022))), _u10024) = c_Groups_Ozero__class_Ozero(_u10022)) )).
% 27.71/27.95 cnf(matrix-5131, plain, ( ~class_Groups_Ocomm__monoid__add(_u10027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10028), _u10029)) | ~hBOOL(hAPP(hAPP(c_member(_u10028), _u10030), _u10029)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10028, _u10027), hAPP(hAPP(c_COMBC(_u10028, _u10027, _u10027), hAPP(hAPP(c_COMBS(_u10028, _u10027, tc_fun(_u10027, _u10027)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10027, tc_fun(_u10027, _u10027)), _u10028), c_If(_u10027)), hAPP(hAPP(c_COMBC(_u10028, _u10028, tc_HOL_Obool), c_fequal), _u10030))), _u10031)), c_Groups_Ozero__class_Ozero(_u10027))), _u10029) = hAPP(_u10031, _u10030)) )).
% 27.71/27.95 cnf(matrix-5132, plain, ( ~class_Groups_Ocomm__monoid__add(_u10027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10028), _u10029)) | hBOOL(hAPP(hAPP(c_member(_u10028), _u10030), _u10029)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10028, _u10027), hAPP(hAPP(c_COMBC(_u10028, _u10027, _u10027), hAPP(hAPP(c_COMBS(_u10028, _u10027, tc_fun(_u10027, _u10027)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10027, tc_fun(_u10027, _u10027)), _u10028), c_If(_u10027)), hAPP(hAPP(c_COMBC(_u10028, _u10028, tc_HOL_Obool), c_fequal), _u10030))), _u10031)), c_Groups_Ozero__class_Ozero(_u10027))), _u10029) = c_Groups_Ozero__class_Ozero(_u10027)) )).
% 27.71/27.95 cnf(matrix-5133, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10032), _u10033), _u10034)) | ( hAPP(c_Set_Oimage(_u10032, _u10035, hAPP(c_COMBK(_u10035, _u10032), _u10036)), _u10034) = hAPP(hAPP(c_Set_Oinsert(_u10035), _u10036), c_Orderings_Obot__class_Obot(tc_fun(_u10035, tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5134, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10037), 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, _u10037)) = _u10037) )).
% 27.71/27.95 cnf(matrix-5135, plain, ( ~class_Groups_Ocomm__monoid__add(_u10038) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10039), _u10040)) | hBOOL(hAPP(hAPP(c_member(_u10039), _u10041), _u10040)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10039, _u10038), _u10042), hAPP(hAPP(c_Set_Oinsert(_u10039), _u10041), _u10040)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10038), hAPP(_u10042, _u10041)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10039, _u10038), _u10042), _u10040))) )).
% 27.71/27.95 cnf(matrix-5136, plain, ( ~class_Groups_Ocomm__monoid__add(_u10043) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10044), _u10045)) | hBOOL(hAPP(hAPP(c_member(_u10044), _u10046), _u10045)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10044, _u10043), _u10047), hAPP(hAPP(c_Set_Oinsert(_u10044), _u10046), _u10045)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10043), hAPP(_u10047, _u10046)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10044, _u10043), _u10047), _u10045))) )).
% 27.71/27.95 cnf(matrix-5137, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10052, tc_HOL_Obool)), _u10054), hAPP(hAPP(c_Set_Oinsert(_u10052), _u10056), _u10058))) | ~hBOOL(hAPP(hAPP(c_member(_u10052), _u10056), _u10054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10052, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10052, tc_HOL_Obool)), _u10054), hAPP(hAPP(c_Set_Oinsert(_u10052), _u10056), c_Orderings_Obot__class_Obot(tc_fun(_u10052, tc_HOL_Obool))))), _u10058)) )).
% 27.71/27.95 cnf(matrix-5138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10052, tc_HOL_Obool)), _u10054), hAPP(hAPP(c_Set_Oinsert(_u10052), _u10056), _u10058))) | hBOOL(hAPP(hAPP(c_member(_u10052), _u10056), _u10054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10052, tc_HOL_Obool)), _u10054), _u10058)) )).
% 27.71/27.95 cnf(matrix-5139, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), _u10055), hAPP(hAPP(c_Set_Oinsert(_u10053), _u10057), _u10059))) | hBOOL(hAPP(hAPP(c_member(_u10053), _u10057), _u10055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), _u10055), _u10059)) )).
% 27.71/27.95 cnf(matrix-5140, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), _u10055), hAPP(hAPP(c_Set_Oinsert(_u10053), _u10057), _u10059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10053, tc_HOL_Obool)), _u10055), hAPP(hAPP(c_Set_Oinsert(_u10053), _u10057), c_Orderings_Obot__class_Obot(tc_fun(_u10053, tc_HOL_Obool))))), _u10059)) | ~hBOOL(hAPP(hAPP(c_member(_u10053), _u10057), _u10055)) )).
% 27.71/27.95 cnf(matrix-5141, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), _u10055), hAPP(hAPP(c_Set_Oinsert(_u10053), _u10057), _u10059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10053, tc_HOL_Obool)), _u10055), hAPP(hAPP(c_Set_Oinsert(_u10053), _u10057), c_Orderings_Obot__class_Obot(tc_fun(_u10053, tc_HOL_Obool))))), _u10059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10053, tc_HOL_Obool)), _u10055), _u10059)) )).
% 27.71/27.95 cnf(matrix-5142, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10060, tc_HOL_Obool)), 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))))), _u10063)) | ~hBOOL(hAPP(hAPP(c_member(_u10060), _u10062), _u10061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10060, tc_HOL_Obool)), _u10061), hAPP(hAPP(c_Set_Oinsert(_u10060), _u10062), _u10063))) )).
% 27.71/27.95 cnf(matrix-5143, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10064), _u10065)) | hBOOL(hAPP(hAPP(c_member(_u10064), _u10066), _u10065)) | ( hAPP(c_Finite__Set_Ocard(_u10064), hAPP(hAPP(c_Set_Oinsert(_u10064), _u10066), _u10065)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10064), _u10065))) )).
% 27.71/27.95 cnf(matrix-5144, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10067), _u10068)) | ~hBOOL(hAPP(hAPP(c_member(_u10067), _u10069), _u10068)) | ( hAPP(c_Finite__Set_Ocard(_u10067), hAPP(hAPP(c_Set_Oinsert(_u10067), _u10069), _u10068)) = hAPP(c_Finite__Set_Ocard(_u10067), _u10068)) )).
% 27.71/27.95 cnf(matrix-5145, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10067), _u10068)) | hBOOL(hAPP(hAPP(c_member(_u10067), _u10069), _u10068)) | ( hAPP(c_Finite__Set_Ocard(_u10067), hAPP(hAPP(c_Set_Oinsert(_u10067), _u10069), _u10068)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10067), _u10068))) )).
% 27.71/27.95 cnf(matrix-5146, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10070), _u10071)) | hBOOL(hAPP(hAPP(c_member(_u10070), _u10072), _u10071)) | ( hAPP(c_Finite__Set_Ocard(_u10070), hAPP(hAPP(c_Set_Oinsert(_u10070), _u10072), _u10071)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10070), _u10071))) )).
% 27.71/27.95 cnf(matrix-5147, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10077, tc_HOL_Obool)), _u10079), hAPP(hAPP(c_Set_Oinsert(_u10077), _u10081), _u10083))) | ~hBOOL(hAPP(hAPP(c_member(_u10077), _u10081), _u10083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10077, tc_HOL_Obool)), _u10079), _u10083)) )).
% 27.71/27.95 cnf(matrix-5148, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10077, tc_HOL_Obool)), _u10079), hAPP(hAPP(c_Set_Oinsert(_u10077), _u10081), _u10083))) | hBOOL(hAPP(hAPP(c_member(_u10077), _u10081), _u10083)) | ~hBOOL(hAPP(hAPP(c_member(_u10077), _u10081), _u10079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10077, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10077, tc_HOL_Obool)), _u10079), hAPP(hAPP(c_Set_Oinsert(_u10077), _u10081), c_Orderings_Obot__class_Obot(tc_fun(_u10077, tc_HOL_Obool))))), _u10083)) )).
% 27.71/27.95 cnf(matrix-5149, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10077, tc_HOL_Obool)), _u10079), hAPP(hAPP(c_Set_Oinsert(_u10077), _u10081), _u10083))) | hBOOL(hAPP(hAPP(c_member(_u10077), _u10081), _u10083)) | hBOOL(hAPP(hAPP(c_member(_u10077), _u10081), _u10079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10077, tc_HOL_Obool)), _u10079), _u10083)) )).
% 27.71/27.95 cnf(matrix-5150, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10084)) | hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) )).
% 27.71/27.95 cnf(matrix-5151, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), c_Orderings_Obot__class_Obot(tc_fun(_u10078, tc_HOL_Obool))))), _u10084)) | ~hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10080)) )).
% 27.71/27.95 cnf(matrix-5152, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), c_Orderings_Obot__class_Obot(tc_fun(_u10078, tc_HOL_Obool))))), _u10084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) )).
% 27.71/27.95 cnf(matrix-5153, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) | ~hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10084)) )).
% 27.71/27.95 cnf(matrix-5154, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) | hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) )).
% 27.71/27.95 cnf(matrix-5155, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), c_Orderings_Obot__class_Obot(tc_fun(_u10078, tc_HOL_Obool))))), _u10084)) | ~hBOOL(hAPP(hAPP(c_member(_u10078), _u10082), _u10080)) )).
% 27.71/27.95 cnf(matrix-5156, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), _u10084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10078, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10078, tc_HOL_Obool)), _u10080), hAPP(hAPP(c_Set_Oinsert(_u10078), _u10082), c_Orderings_Obot__class_Obot(tc_fun(_u10078, tc_HOL_Obool))))), _u10084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10078, tc_HOL_Obool)), _u10080), _u10084)) )).
% 27.71/27.95 cnf(matrix-5157, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10089), _u10091), _u10093)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10089, tc_Nat_Onat), _u10095), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10089, tc_HOL_Obool)), _u10093), hAPP(hAPP(c_Set_Oinsert(_u10089), _u10091), c_Orderings_Obot__class_Obot(tc_fun(_u10089, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10089, tc_Nat_Onat), _u10095), _u10093)), hAPP(_u10095, _u10091))) )).
% 27.71/27.95 cnf(matrix-5158, plain, ( hBOOL(hAPP(hAPP(c_member(_u10090), _u10092), _u10094)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10090, tc_Nat_Onat), _u10096), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10090, tc_HOL_Obool)), _u10094), hAPP(hAPP(c_Set_Oinsert(_u10090), _u10092), c_Orderings_Obot__class_Obot(tc_fun(_u10090, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10090, tc_Nat_Onat), _u10096), _u10094)) )).
% 27.71/27.95 cnf(matrix-5159, plain, ( ~class_Groups_Ocomm__monoid__add(_u10097) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10098), _u10099)) | ~hBOOL(hAPP(hAPP(c_member(_u10098), _u10100), _u10099)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10098, _u10097), _u10101), _u10099) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10097), hAPP(_u10101, _u10100)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10098, _u10097), _u10101), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10098, tc_HOL_Obool)), _u10099), hAPP(hAPP(c_Set_Oinsert(_u10098), _u10100), c_Orderings_Obot__class_Obot(tc_fun(_u10098, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5160, plain, ( ~class_Groups_Ocomm__monoid__add(_u10102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10103), _u10104)) | ~hBOOL(hAPP(hAPP(c_member(_u10103), _u10105), _u10104)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10103, _u10102), _u10106), _u10104) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10102), hAPP(_u10106, _u10105)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10103, _u10102), _u10106), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10103, tc_HOL_Obool)), _u10104), hAPP(hAPP(c_Set_Oinsert(_u10103), _u10105), c_Orderings_Obot__class_Obot(tc_fun(_u10103, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5161, plain, ( ~class_Rings_Oring(_u10107) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10108), _u10109)) | ~hBOOL(hAPP(hAPP(c_member(_u10108), _u10110), _u10109)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10108, _u10107), _u10111), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10108, tc_HOL_Obool)), _u10109), hAPP(hAPP(c_Set_Oinsert(_u10108), _u10110), c_Orderings_Obot__class_Obot(tc_fun(_u10108, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10107), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10108, _u10107), _u10111), _u10109)), hAPP(_u10111, _u10110))) )).
% 27.71/27.95 cnf(matrix-5162, plain, ( ~class_Groups_Oab__group__add(_u10112) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10113), _u10114)) | ~hBOOL(hAPP(hAPP(c_member(_u10113), _u10115), _u10114)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10113, _u10112), _u10116), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10113, tc_HOL_Obool)), _u10114), hAPP(hAPP(c_Set_Oinsert(_u10113), _u10115), c_Orderings_Obot__class_Obot(tc_fun(_u10113, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10112), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10113, _u10112), _u10116), _u10114)), hAPP(_u10116, _u10115))) )).
% 27.71/27.95 cnf(matrix-5163, plain, ( ~class_Groups_Oab__group__add(_u10112) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10113), _u10114)) | hBOOL(hAPP(hAPP(c_member(_u10113), _u10115), _u10114)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10113, _u10112), _u10116), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10113, tc_HOL_Obool)), _u10114), hAPP(hAPP(c_Set_Oinsert(_u10113), _u10115), c_Orderings_Obot__class_Obot(tc_fun(_u10113, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10113, _u10112), _u10116), _u10114)) )).
% 27.71/27.95 cnf(matrix-5164, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10117), _u10118)) | ~hBOOL(hAPP(hAPP(c_member(_u10117), _u10119), _u10118)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10117), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10117, tc_HOL_Obool)), _u10118), hAPP(hAPP(c_Set_Oinsert(_u10117), _u10119), c_Orderings_Obot__class_Obot(tc_fun(_u10117, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u10117), _u10118)) )).
% 27.71/27.95 cnf(matrix-5165, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10120), _u10121)) | ~hBOOL(hAPP(hAPP(c_member(_u10120), _u10122), _u10121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10120), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10120, tc_HOL_Obool)), _u10121), hAPP(hAPP(c_Set_Oinsert(_u10120), _u10122), c_Orderings_Obot__class_Obot(tc_fun(_u10120, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10120), _u10121))) )).
% 27.71/27.95 cnf(matrix-5166, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10123), _u10124)) | ~hBOOL(hAPP(hAPP(c_member(_u10123), _u10125), _u10124)) | ~hBOOL(hAPP(hAPP(c_member(_u10123), _u10126), _u10124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10123), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10123, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10123, tc_HOL_Obool)), _u10124), hAPP(hAPP(c_Set_Oinsert(_u10123), _u10125), c_Orderings_Obot__class_Obot(tc_fun(_u10123, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u10123), _u10126), c_Orderings_Obot__class_Obot(tc_fun(_u10123, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10123), _u10124))) )).
% 27.71/27.95 cnf(matrix-5167, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10127), _u10128)) | ~hBOOL(hAPP(hAPP(c_member(_u10127), _u10129), _u10128)) | hBOOL(hAPP(hAPP(c_member(_u10127), _u10129), _u10130)) | ( hAPP(c_Finite__Set_Ocard(_u10127), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10127, tc_HOL_Obool)), _u10128), hAPP(hAPP(c_Set_Oinsert(_u10127), _u10129), _u10130))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10127), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10127, tc_HOL_Obool)), _u10128), _u10130))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.71/27.95 cnf(matrix-5168, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10131), _u10132)) | ~hBOOL(hAPP(hAPP(c_member(_u10131), _u10133), _u10132)) | ( hAPP(c_Finite__Set_Ocard(_u10131), _u10132) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10131), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10131, tc_HOL_Obool)), _u10132), hAPP(hAPP(c_Set_Oinsert(_u10131), _u10133), c_Orderings_Obot__class_Obot(tc_fun(_u10131, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5169, plain, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u10139, _u10141, _u10143), _u10145), _u10147)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10139, _u10141)), hAPP(hAPP(c_Product__Type_OPair(_u10139, _u10141), _u10145), _u10147)), _u10143)) )).
% 27.71/27.95 cnf(matrix-5170, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10140, _u10142)), hAPP(hAPP(c_Product__Type_OPair(_u10140, _u10142), _u10146), _u10148)), _u10144)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u10140, _u10142, _u10144), _u10146), _u10148)) )).
% 27.71/27.95 cnf(matrix-5171, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10150, tc_Int_Oint), _u10152), _u10151) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10150, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10150), c_Int_Onat), _u10152)), _u10151))) | hBOOL(hAPP(hAPP(c_member(_u10150), skolem179(_u10152, _u10151, _u10150)), _u10151)) )).
% 27.71/27.95 cnf(matrix-5172, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10150, tc_Int_Oint), _u10152), _u10151) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10150, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10150), c_Int_Onat), _u10152)), _u10151))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u10152, skolem179(_u10152, _u10151, _u10150))) )).
% 27.71/27.95 cnf(matrix-5173, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10156)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10157), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10158)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10155), _u10157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10155), _u10156)), _u10157)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem180(_u10158, _u10157, _u10156, _u10155)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10156))) )).
% 27.71/27.95 cnf(matrix-5174, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10156)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10157), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10158)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10155), _u10157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10155), _u10156)), _u10157)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem181(_u10158, _u10157, _u10156, _u10155)), _u10158)) )).
% 27.71/27.95 cnf(matrix-5175, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10156)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10157), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10158)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10155), _u10157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10155), _u10156)), _u10157)) | ( _u10155 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem181(_u10158, _u10157, _u10156, _u10155)), skolem180(_u10158, _u10157, _u10156, _u10155))) )).
% 27.71/27.95 cnf(matrix-5176, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10162)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10163), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10163), _u10161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10161), _u10162))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem182(_u10164, _u10163, _u10162, _u10161)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10162))) )).
% 27.71/27.95 cnf(matrix-5177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10162)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10163), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10163), _u10161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10161), _u10162))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem183(_u10164, _u10163, _u10162, _u10161)), _u10164)) )).
% 27.71/27.95 cnf(matrix-5178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10162)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10163), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10163), _u10161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10161), _u10162))) | ( _u10161 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem183(_u10164, _u10163, _u10162, _u10161)), skolem182(_u10164, _u10163, _u10162, _u10161))) )).
% 27.71/27.95 cnf(matrix-5179, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10169, tc_fun(_u10170, tc_HOL_Obool))), _u10168), _u10165), _u10166), _u10167)) | ~hBOOL(hAPP(hAPP(_u10165, _u10166), _u10167)) )).
% 27.71/27.95 cnf(matrix-5180, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10169, tc_fun(_u10170, tc_HOL_Obool))), _u10168), _u10165), _u10166), _u10167)) | ~hBOOL(hAPP(hAPP(_u10168, _u10166), _u10167)) )).
% 27.71/27.95 cnf(matrix-5181, plain, ( hBOOL(hAPP(hAPP(_u10173, _u10175), _u10176)) | hBOOL(hAPP(hAPP(_u10174, _u10175), _u10176)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10171, tc_fun(_u10172, tc_HOL_Obool))), _u10173), _u10174), _u10175), _u10176)) )).
% 27.71/27.95 cnf(matrix-5182, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u10177, tc_fun(_u10178, tc_HOL_Obool))), _u10179), _u10180)) )).
% 27.71/27.95 cnf(matrix-5183, plain, ( ( _u10181 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10182, _u10182), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10182, _u10182), tc_HOL_Obool)), _u10181), _u10183)) )).
% 27.71/27.95 cnf(matrix-5184, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10193, tc_fun(_u10195, tc_fun(_u10197, tc_HOL_Obool))), _u10199), _u10201), _u10203), _u10205)) | hBOOL(hAPP(hAPP(c_member(_u10193), skolem184(_u10205, _u10203, _u10201, _u10199, _u10197, _u10195, _u10193)), _u10199)) )).
% 27.71/27.95 cnf(matrix-5185, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10193, tc_fun(_u10195, tc_fun(_u10197, tc_HOL_Obool))), _u10199), _u10201), _u10203), _u10205)) | hBOOL(hAPP(hAPP(hAPP(_u10201, skolem184(_u10205, _u10203, _u10201, _u10199, _u10197, _u10195, _u10193)), _u10203), _u10205)) )).
% 27.71/27.95 cnf(matrix-5186, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10194), _u10185), _u10200)) | ~hBOOL(hAPP(hAPP(hAPP(_u10202, _u10185), _u10204), _u10206)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10194, tc_fun(_u10196, tc_fun(_u10198, tc_HOL_Obool))), _u10200), _u10202), _u10204), _u10206)) )).
% 27.71/27.95 cnf(matrix-5187, plain, ( ~hBOOL(hAPP(hAPP(_u10207, _u10208), _u10209)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10210, tc_fun(_u10211, tc_HOL_Obool))), _u10212), _u10207), _u10208), _u10209)) )).
% 27.71/27.95 cnf(matrix-5188, plain, ( ~hBOOL(hAPP(hAPP(_u10213, _u10214), _u10215)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10216, tc_fun(_u10217, tc_HOL_Obool))), _u10213), _u10218), _u10214), _u10215)) )).
% 27.71/27.95 cnf(matrix-5189, plain, ( ~c_Nitpick_Orefl_H(_u10223, _u10225) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10223, _u10223)), hAPP(hAPP(c_Product__Type_OPair(_u10223, _u10223), _u10219), _u10219)), _u10225)) )).
% 27.71/27.95 cnf(matrix-5190, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10224, _u10224)), hAPP(hAPP(c_Product__Type_OPair(_u10224, _u10224), skolem185(_u10226, _u10224)), skolem185(_u10226, _u10224))), _u10226)) | c_Nitpick_Orefl_H(_u10224, _u10226) )).
% 27.71/27.95 cnf(matrix-5191, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10229), 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)))), _u10231))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10229), _u10231)) )).
% 27.71/27.95 cnf(matrix-5192, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10229), 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)))), _u10231))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10231), _u10229)) )).
% 27.71/27.95 cnf(matrix-5193, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10230), _u10232)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10232), _u10230)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10230), 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)))), _u10232))) )).
% 27.71/27.95 cnf(matrix-5194, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10235), 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)))), _u10237))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10237), _u10235)) )).
% 27.71/27.95 cnf(matrix-5195, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10235), 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)))), _u10237))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10235), _u10237)) )).
% 27.71/27.95 cnf(matrix-5196, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10238), _u10236)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10236), _u10238)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10236), 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)))), _u10238))) )).
% 27.71/27.95 cnf(matrix-5197, plain, ( hBOOL(hAPP(hAPP(_u10247, _u10245), _u10249)) | ~hBOOL(hAPP(hAPP(c_member(_u10243), _u10245), c_SetInterval_Oord_OlessThan(_u10243, _u10247, _u10249))) )).
% 27.71/27.95 cnf(matrix-5198, plain, ( ~hBOOL(hAPP(hAPP(_u10248, _u10246), _u10250)) | hBOOL(hAPP(hAPP(c_member(_u10244), _u10246), c_SetInterval_Oord_OlessThan(_u10244, _u10248, _u10250))) )).
% 27.71/27.95 cnf(matrix-5199, plain, ( hBOOL(hAPP(hAPP(_u10259, _u10261), _u10257)) | ~hBOOL(hAPP(hAPP(c_member(_u10255), _u10257), c_SetInterval_Oord_OgreaterThan(_u10255, _u10259, _u10261))) )).
% 27.71/27.95 cnf(matrix-5200, plain, ( ~hBOOL(hAPP(hAPP(_u10260, _u10262), _u10258)) | hBOOL(hAPP(hAPP(c_member(_u10256), _u10258), c_SetInterval_Oord_OgreaterThan(_u10256, _u10260, _u10262))) )).
% 27.71/27.95 cnf(matrix-5201, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10265)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10266), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10267)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10266), _u10265) = _u10266) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem186(_u10267, _u10266, _u10265)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10265))) )).
% 27.71/27.95 cnf(matrix-5202, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10265)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10266), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10267)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10266), _u10265) = _u10266) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem187(_u10267, _u10266, _u10265)), _u10267)) )).
% 27.71/27.95 cnf(matrix-5203, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10265)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10266), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10267)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10266), _u10265) = _u10266) | ( _u10266 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem187(_u10267, _u10266, _u10265)), skolem186(_u10267, _u10266, _u10265))) )).
% 27.71/27.95 cnf(matrix-5204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10270)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10271), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10272)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10271), _u10270) = _u10271) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem188(_u10272, _u10271, _u10270)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10270))) )).
% 27.71/27.95 cnf(matrix-5205, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10270)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10271), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10272)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10271), _u10270) = _u10271) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem189(_u10272, _u10271, _u10270)), _u10272)) )).
% 27.71/27.95 cnf(matrix-5206, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10270)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10271), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10272)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10271), _u10270) = _u10271) | ( _u10271 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem189(_u10272, _u10271, _u10270)), skolem188(_u10272, _u10271, _u10270))) )).
% 27.71/27.95 cnf(matrix-5207, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10276)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10277), _u10278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10275), _u10277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10275), _u10276)), _u10277)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem190(_u10278, _u10277, _u10276, _u10275)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10276))) )).
% 27.71/27.95 cnf(matrix-5208, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10276)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10277), _u10278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10275), _u10277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10275), _u10276)), _u10277)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem191(_u10278, _u10277, _u10276, _u10275)), _u10278)) )).
% 27.71/27.95 cnf(matrix-5209, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10276)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10277), _u10278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10275), _u10277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10275), _u10276)), _u10277)) | ( _u10275 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem191(_u10278, _u10277, _u10276, _u10275)), skolem190(_u10278, _u10277, _u10276, _u10275))) )).
% 27.71/27.95 cnf(matrix-5210, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10282)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10283), _u10284)) | ( _u10281 = _u10283) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10281), _u10282) != _u10283) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem192(_u10284, _u10283, _u10282, _u10281)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10282))) )).
% 27.71/27.95 cnf(matrix-5211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10282)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10283), _u10284)) | ( _u10281 = _u10283) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10281), _u10282) != _u10283) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem193(_u10284, _u10283, _u10282, _u10281)), _u10284)) )).
% 27.71/27.95 cnf(matrix-5212, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10282)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10283), _u10284)) | ( _u10281 = _u10283) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10281), _u10282) != _u10283) | ( _u10281 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem193(_u10284, _u10283, _u10282, _u10281)), skolem192(_u10284, _u10283, _u10282, _u10281))) )).
% 27.71/27.95 cnf(matrix-5213, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10288)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10289), _u10290)) | ( _u10287 = _u10289) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10287), _u10288) != _u10289) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem194(_u10290, _u10289, _u10288, _u10287)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10288))) )).
% 27.71/27.95 cnf(matrix-5214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10288)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10289), _u10290)) | ( _u10287 = _u10289) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10287), _u10288) != _u10289) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem195(_u10290, _u10289, _u10288, _u10287)), _u10290)) )).
% 27.71/27.95 cnf(matrix-5215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10288)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10289), _u10290)) | ( _u10287 = _u10289) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10287), _u10288) != _u10289) | ( _u10287 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem195(_u10290, _u10289, _u10288, _u10287)), skolem194(_u10290, _u10289, _u10288, _u10287))) )).
% 27.71/27.95 cnf(matrix-5216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10294)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10295), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10295), _u10293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10295), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10293), _u10294))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem196(_u10296, _u10295, _u10294, _u10293)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10294))) )).
% 27.71/27.95 cnf(matrix-5217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10294)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10295), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10295), _u10293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10295), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10293), _u10294))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem197(_u10296, _u10295, _u10294, _u10293)), _u10296)) )).
% 27.71/27.95 cnf(matrix-5218, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10294)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10295), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10295), _u10293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10295), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10293), _u10294))) | ( _u10293 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem197(_u10296, _u10295, _u10294, _u10293)), skolem196(_u10296, _u10295, _u10294, _u10293))) )).
% 27.71/27.95 cnf(matrix-5219, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10307, _u10303)), hAPP(_u10307, _u10305))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10301, _u10301)), hAPP(hAPP(c_Product__Type_OPair(_u10301, _u10301), _u10303), _u10305)), hAPP(c_Wellfounded_Omeasure(_u10301), _u10307))) )).
% 27.71/27.95 cnf(matrix-5220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10308, _u10304)), hAPP(_u10308, _u10306))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10302, _u10302)), hAPP(hAPP(c_Product__Type_OPair(_u10302, _u10302), _u10304), _u10306)), hAPP(c_Wellfounded_Omeasure(_u10302), _u10308))) )).
% 27.71/27.95 cnf(matrix-5221, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10311), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10313))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10313), _u10311)) )).
% 27.71/27.95 cnf(matrix-5222, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10314), _u10312)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10312), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10314))) )).
% 27.71/27.95 cnf(matrix-5223, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10317), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10319))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10317), _u10319)) )).
% 27.71/27.95 cnf(matrix-5224, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10318), _u10320)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10318), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10320))) )).
% 27.71/27.95 cnf(matrix-5225, plain, ( hBOOL(hAPP(hAPP(_u10329, _u10331), _u10327)) | ~hBOOL(hAPP(hAPP(c_member(_u10325), _u10327), c_SetInterval_Oord_OatLeast(_u10325, _u10329, _u10331))) )).
% 27.71/27.95 cnf(matrix-5226, plain, ( ~hBOOL(hAPP(hAPP(_u10330, _u10332), _u10328)) | hBOOL(hAPP(hAPP(c_member(_u10326), _u10328), c_SetInterval_Oord_OatLeast(_u10326, _u10330, _u10332))) )).
% 27.71/27.95 cnf(matrix-5227, plain, ( hBOOL(hAPP(hAPP(_u10341, _u10339), _u10343)) | ~hBOOL(hAPP(hAPP(c_member(_u10337), _u10339), c_SetInterval_Oord_OatMost(_u10337, _u10341, _u10343))) )).
% 27.71/27.95 cnf(matrix-5228, plain, ( ~hBOOL(hAPP(hAPP(_u10342, _u10340), _u10344)) | hBOOL(hAPP(hAPP(c_member(_u10338), _u10340), c_SetInterval_Oord_OatMost(_u10338, _u10342, _u10344))) )).
% 27.71/27.95 cnf(matrix-5229, plain, ( ~c_Finite__Set_Ofolding__one(_u10345, _u10346, _u10347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10345), _u10348)) | ~hBOOL(hAPP(hAPP(c_member(_u10345), _u10349), _u10348)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10345, tc_HOL_Obool)), _u10348), hAPP(hAPP(c_Set_Oinsert(_u10345), _u10349), c_Orderings_Obot__class_Obot(tc_fun(_u10345, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10345, tc_HOL_Obool))) | ( hAPP(_u10347, _u10348) = _u10349) )).
% 27.71/27.95 cnf(matrix-5230, plain, ( ~c_Finite__Set_Ofolding__one(_u10345, _u10346, _u10347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10345), _u10348)) | ~hBOOL(hAPP(hAPP(c_member(_u10345), _u10349), _u10348)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10345, tc_HOL_Obool)), _u10348), hAPP(hAPP(c_Set_Oinsert(_u10345), _u10349), c_Orderings_Obot__class_Obot(tc_fun(_u10345, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10345, tc_HOL_Obool))) | ( hAPP(_u10347, _u10348) = hAPP(hAPP(_u10346, _u10349), hAPP(_u10347, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10345, tc_HOL_Obool)), _u10348), hAPP(hAPP(c_Set_Oinsert(_u10345), _u10349), c_Orderings_Obot__class_Obot(tc_fun(_u10345, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5231, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10350), _u10351), _u10352)) | ~c_Nitpick_Ofold__graph_H(_u10350, _u10353, _u10354, _u10355, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10350, tc_HOL_Obool)), _u10352), hAPP(hAPP(c_Set_Oinsert(_u10350), _u10351), c_Orderings_Obot__class_Obot(tc_fun(_u10350, tc_HOL_Obool)))), _u10356) | c_Nitpick_Ofold__graph_H(_u10350, _u10353, _u10354, _u10355, _u10352, hAPP(hAPP(_u10354, _u10351), _u10356)) )).
% 27.71/27.95 cnf(matrix-5232, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u10358) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10359), _u10360)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10359, tc_HOL_Obool)), _u10361), _u10360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10358), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10359, _u10358), _u10362), _u10361)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10359, _u10358), _u10362), _u10360))) | hBOOL(hAPP(hAPP(c_member(_u10359), skolem198(_u10362, _u10361, _u10360, _u10359, _u10358)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10359, tc_HOL_Obool)), _u10360), _u10361))) )).
% 27.71/27.95 cnf(matrix-5233, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u10358) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10359), _u10360)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10359, tc_HOL_Obool)), _u10361), _u10360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10358), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10359, _u10358), _u10362), _u10361)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10359, _u10358), _u10362), _u10360))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10358), c_Groups_Ozero__class_Ozero(_u10358)), hAPP(_u10362, skolem198(_u10362, _u10361, _u10360, _u10359, _u10358)))) )).
% 27.71/27.95 cnf(matrix-5234, plain, ( c_Nitpick_Ofold__graph_H(_u10363, _u10364, _u10365, _u10366, c_Orderings_Obot__class_Obot(tc_fun(_u10363, tc_HOL_Obool)), _u10366) )).
% 27.71/27.95 cnf(matrix-5235, plain, ( c_Nitpick_Ofold__graph_H(_u10367, _u10368, _u10369, _u10370, c_Orderings_Obot__class_Obot(tc_fun(_u10367, tc_HOL_Obool)), _u10370) )).
% 27.71/27.95 cnf(matrix-5236, plain, ( ~c_Finite__Set_Ofolding__one(_u10371, _u10372, _u10373) | ( hAPP(_u10373, hAPP(hAPP(c_Set_Oinsert(_u10371), _u10374), c_Orderings_Obot__class_Obot(tc_fun(_u10371, tc_HOL_Obool)))) = _u10374) )).
% 27.71/27.95 cnf(matrix-5237, plain, ( ~c_Finite__Set_Ofolding__one(_u10375, _u10376, _u10377) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10375), _u10378)) | hBOOL(hAPP(hAPP(c_member(_u10375), _u10379), _u10378)) | ( _u10378 = c_Orderings_Obot__class_Obot(tc_fun(_u10375, tc_HOL_Obool))) | ( hAPP(_u10377, hAPP(hAPP(c_Set_Oinsert(_u10375), _u10379), _u10378)) = hAPP(hAPP(_u10376, _u10379), hAPP(_u10377, _u10378))) )).
% 27.71/27.95 cnf(matrix-5238, plain, ( ~c_Finite__Set_Ofolding__one(_u10380, _u10381, _u10382) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10380), _u10383)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10380, tc_HOL_Obool)), _u10383), hAPP(hAPP(c_Set_Oinsert(_u10380), _u10384), c_Orderings_Obot__class_Obot(tc_fun(_u10380, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10380, tc_HOL_Obool))) | ( hAPP(_u10382, hAPP(hAPP(c_Set_Oinsert(_u10380), _u10384), _u10383)) = _u10384) )).
% 27.71/27.95 cnf(matrix-5239, plain, ( ~c_Finite__Set_Ofolding__one(_u10380, _u10381, _u10382) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10380), _u10383)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10380, tc_HOL_Obool)), _u10383), hAPP(hAPP(c_Set_Oinsert(_u10380), _u10384), c_Orderings_Obot__class_Obot(tc_fun(_u10380, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10380, tc_HOL_Obool))) | ( hAPP(_u10382, hAPP(hAPP(c_Set_Oinsert(_u10380), _u10384), _u10383)) = hAPP(hAPP(_u10381, _u10384), hAPP(_u10382, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10380, tc_HOL_Obool)), _u10383), hAPP(hAPP(c_Set_Oinsert(_u10380), _u10384), c_Orderings_Obot__class_Obot(tc_fun(_u10380, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5240, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10388, tc_HOL_Obool)), _u10390), hAPP(hAPP(c_Set_Oinsert(_u10388), _u10392), c_Orderings_Obot__class_Obot(tc_fun(_u10388, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u10388, _u10392, _u10390) = _u10392) )).
% 27.71/27.95 cnf(matrix-5241, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10389, tc_HOL_Obool)), _u10391), hAPP(hAPP(c_Set_Oinsert(_u10389), _u10393), c_Orderings_Obot__class_Obot(tc_fun(_u10389, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u10389, _u10393, _u10391) = c_HOL_OThe(_u10389, hAPP(hAPP(c_COMBC(_u10389, tc_fun(_u10389, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10389)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10389, tc_HOL_Obool)), _u10391), hAPP(hAPP(c_Set_Oinsert(_u10389), _u10393), c_Orderings_Obot__class_Obot(tc_fun(_u10389, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5242, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u10394, _u10395)), hAPP(_u10394, _u10396))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10397, _u10397)), hAPP(hAPP(c_Product__Type_OPair(_u10397, _u10397), _u10395), _u10396)), _u10398)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10397, _u10397)), hAPP(hAPP(c_Product__Type_OPair(_u10397, _u10397), _u10395), _u10396)), c_Wellfounded_Omlex__prod(_u10397, _u10394, _u10398))) )).
% 27.71/27.95 cnf(matrix-5243, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10399, _u10400)), hAPP(_u10399, _u10401))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10402, _u10402)), hAPP(hAPP(c_Product__Type_OPair(_u10402, _u10402), _u10400), _u10401)), c_Wellfounded_Omlex__prod(_u10402, _u10399, _u10403))) )).
% 27.71/27.95 cnf(matrix-5244, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u10405) | ~class_Rings_Osemiring__1(_u10405) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10405), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10406, _u10405), _u10408), _u10407)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10405), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10405), hAPP(c_Finite__Set_Ocard(_u10406), _u10407))), _u10409))) | hBOOL(hAPP(hAPP(c_member(_u10406), skolem199(_u10409, _u10408, _u10407, _u10406, _u10405)), _u10407)) )).
% 27.71/27.95 cnf(matrix-5245, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u10405) | ~class_Rings_Osemiring__1(_u10405) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10405), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10406, _u10405), _u10408), _u10407)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10405), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10405), hAPP(c_Finite__Set_Ocard(_u10406), _u10407))), _u10409))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10405), hAPP(_u10408, skolem199(_u10409, _u10408, _u10407, _u10406, _u10405))), _u10409)) )).
% 27.71/27.95 cnf(matrix-5246, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10417), _u10419) != hAPP(c_Nat_OSuc, _u10421)) | ( _u10419 = hAPP(hAPP(c_Set_Oinsert(_u10417), skolem200(_u10421, _u10419, _u10417)), skolem201(_u10421, _u10419, _u10417))) )).
% 27.71/27.95 cnf(matrix-5247, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10417), _u10419) != hAPP(c_Nat_OSuc, _u10421)) | ~hBOOL(hAPP(hAPP(c_member(_u10417), skolem200(_u10421, _u10419, _u10417)), skolem201(_u10421, _u10419, _u10417))) )).
% 27.71/27.95 cnf(matrix-5248, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10417), _u10419) != hAPP(c_Nat_OSuc, _u10421)) | ( hAPP(c_Finite__Set_Ocard(_u10417), skolem201(_u10421, _u10419, _u10417)) = _u10421) )).
% 27.71/27.95 cnf(matrix-5249, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10417), _u10419) != hAPP(c_Nat_OSuc, _u10421)) | ( _u10421 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem201(_u10421, _u10419, _u10417) = c_Orderings_Obot__class_Obot(tc_fun(_u10417, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5250, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10418), _u10420) = hAPP(c_Nat_OSuc, _u10422)) | ( _u10420 != hAPP(hAPP(c_Set_Oinsert(_u10418), _u10413), _u10412)) | hBOOL(hAPP(hAPP(c_member(_u10418), _u10413), _u10412)) | ( hAPP(c_Finite__Set_Ocard(_u10418), _u10412) != _u10422) | ( _u10422 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.95 cnf(matrix-5251, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10418), _u10420) = hAPP(c_Nat_OSuc, _u10422)) | ( _u10420 != hAPP(hAPP(c_Set_Oinsert(_u10418), _u10413), _u10412)) | hBOOL(hAPP(hAPP(c_member(_u10418), _u10413), _u10412)) | ( hAPP(c_Finite__Set_Ocard(_u10418), _u10412) != _u10422) | ( _u10412 != c_Orderings_Obot__class_Obot(tc_fun(_u10418, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5252, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10429), _u10431), c_SetInterval_Oord_OgreaterThanAtMost(_u10429, _u10433, _u10435, _u10437, _u10439))) | hBOOL(hAPP(hAPP(_u10435, _u10437), _u10431)) )).
% 27.71/27.95 cnf(matrix-5253, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10429), _u10431), c_SetInterval_Oord_OgreaterThanAtMost(_u10429, _u10433, _u10435, _u10437, _u10439))) | hBOOL(hAPP(hAPP(_u10433, _u10431), _u10439)) )).
% 27.71/27.95 cnf(matrix-5254, plain, ( ~hBOOL(hAPP(hAPP(_u10436, _u10438), _u10432)) | ~hBOOL(hAPP(hAPP(_u10434, _u10432), _u10440)) | hBOOL(hAPP(hAPP(c_member(_u10430), _u10432), c_SetInterval_Oord_OgreaterThanAtMost(_u10430, _u10434, _u10436, _u10438, _u10440))) )).
% 27.71/27.95 cnf(matrix-5255, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10441), _u10442)) | ( 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)))), _u10442, _u10441) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5256, 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)))), _u10445, _u10447) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10445), _u10447)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10447), _u10445)) )).
% 27.71/27.95 cnf(matrix-5257, 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)))), _u10446, _u10448) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10446), _u10448)) )).
% 27.71/27.95 cnf(matrix-5258, 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)))), _u10446, _u10448) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10448), _u10446)) )).
% 27.71/27.95 cnf(matrix-5259, 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)))), _u10451, _u10453)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10451), _u10453)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10453), _u10451)) )).
% 27.71/27.95 cnf(matrix-5260, 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)))), _u10452, _u10454)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10452), _u10454)) )).
% 27.71/27.95 cnf(matrix-5261, 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)))), _u10452, _u10454)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10454), _u10452)) )).
% 27.71/27.95 cnf(matrix-5262, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10461), _u10463), c_SetInterval_Oord_OatLeastLessThan(_u10461, _u10465, _u10467, _u10469, _u10471))) | hBOOL(hAPP(hAPP(_u10465, _u10469), _u10463)) )).
% 27.71/27.95 cnf(matrix-5263, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10461), _u10463), c_SetInterval_Oord_OatLeastLessThan(_u10461, _u10465, _u10467, _u10469, _u10471))) | hBOOL(hAPP(hAPP(_u10467, _u10463), _u10471)) )).
% 27.71/27.95 cnf(matrix-5264, plain, ( ~hBOOL(hAPP(hAPP(_u10466, _u10470), _u10464)) | ~hBOOL(hAPP(hAPP(_u10468, _u10464), _u10472)) | hBOOL(hAPP(hAPP(c_member(_u10462), _u10464), c_SetInterval_Oord_OatLeastLessThan(_u10462, _u10466, _u10468, _u10470, _u10472))) )).
% 27.71/27.95 cnf(matrix-5265, plain, ( ~class_Int_Onumber__ring(_u10473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10474)) | hBOOL(hAPP(hAPP(c_member(_u10473), hAPP(c_Int_Onumber__class_Onumber__of(_u10473), _u10474)), c_Nat_Osemiring__1__class_ONats(_u10473))) )).
% 27.71/27.95 cnf(matrix-5266, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10475), _u10476)) | ( 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)))), _u10476, _u10475) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5267, plain, ( ~class_Rings_Osemiring__1(_u10477) | hBOOL(hAPP(hAPP(c_member(_u10477), c_Groups_Ozero__class_Ozero(_u10477)), c_Nat_Osemiring__1__class_ONats(_u10477))) )).
% 27.71/27.95 cnf(matrix-5268, plain, ( ~class_Rings_Osemiring__1(_u10478) | ~hBOOL(hAPP(hAPP(c_member(_u10478), _u10479), c_Nat_Osemiring__1__class_ONats(_u10478))) | ~hBOOL(hAPP(hAPP(c_member(_u10478), _u10480), c_Nat_Osemiring__1__class_ONats(_u10478))) | hBOOL(hAPP(hAPP(c_member(_u10478), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10478), _u10479), _u10480)), c_Nat_Osemiring__1__class_ONats(_u10478))) )).
% 27.71/27.95 cnf(matrix-5269, plain, ( ~class_Rings_Osemiring__1(_u10481) | ~hBOOL(hAPP(hAPP(c_member(_u10481), _u10482), c_Nat_Osemiring__1__class_ONats(_u10481))) | ~hBOOL(hAPP(hAPP(c_member(_u10481), _u10483), c_Nat_Osemiring__1__class_ONats(_u10481))) | hBOOL(hAPP(hAPP(c_member(_u10481), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10481), _u10482), _u10483)), c_Nat_Osemiring__1__class_ONats(_u10481))) )).
% 27.71/27.95 cnf(matrix-5270, plain, ( ~class_Rings_Osemiring__1(_u10484) | hBOOL(hAPP(hAPP(c_member(_u10484), c_Groups_Oone__class_Oone(_u10484)), c_Nat_Osemiring__1__class_ONats(_u10484))) )).
% 27.71/27.95 cnf(matrix-5271, plain, ( ~class_Rings_Osemiring__1(_u10485) | hBOOL(hAPP(hAPP(c_member(_u10485), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10485), _u10486)), c_Nat_Osemiring__1__class_ONats(_u10485))) )).
% 27.71/27.95 cnf(matrix-5272, 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)))), _u10489, _u10491)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10489), _u10491)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10491), _u10489)) )).
% 27.71/27.95 cnf(matrix-5273, 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)))), _u10490, _u10492)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10490), _u10492)) )).
% 27.71/27.95 cnf(matrix-5274, 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)))), _u10490, _u10492)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10492), _u10490)) )).
% 27.71/27.95 cnf(matrix-5275, 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)))), _u10495, _u10497) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10495), _u10497)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10497), _u10495)) )).
% 27.71/27.95 cnf(matrix-5276, 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)))), _u10496, _u10498) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10496), _u10498)) )).
% 27.71/27.95 cnf(matrix-5277, 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)))), _u10496, _u10498) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10498), _u10496)) )).
% 27.71/27.95 cnf(matrix-5278, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10499, _u10500, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10499)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10499), _u10501), hAPP(c_Com_Ocom_OBODY, _u10502)), hAPP(hAPP(c_COMBC(_u10499, 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)), _u10499), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u10503)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ostate, tc_fun(tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), tc_Com_Ostate), c_Natural_Oupdate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_fun(tc_Com_Oloc, tc_Nat_Onat), tc_Com_Ostate), c_Natural_Osetlocs), hAPP(c_Natural_Ogetlocs, _u10504)))), _u10505)), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Oloc, tc_Nat_Onat), c_Natural_Ogetlocs), c_Com_ORes))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10499), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u10499, _u10500, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10499)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10499), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u10499), hAPP(c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj), hAPP(c_fequal, _u10504)))), hAPP(hAPP(c_COMBC(_u10499, 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)), _u10499), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u10501)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ostate, tc_fun(tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), tc_Com_Ostate), c_Natural_Oupdate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_fun(tc_Com_Oloc, tc_Nat_Onat), tc_Com_Ostate), c_Natural_Osetlocs), c_Natural_Onewlocs))), c_Com_Ovname_OLoc(c_Com_OArg))), _u10506)))), c_Com_Ocom_OCall(_u10505, _u10502, _u10506)), _u10503)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10499), tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5279, plain, ( ~class_Rings_Olinordered__idom(_u10507) | ~hBOOL(hAPP(hAPP(c_member(_u10507), _u10508), c_Int_Oring__1__class_OInts(_u10507))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10507), c_Groups_Oone__class_Oone(_u10507)), _u10508)), _u10508)), c_Groups_Ozero__class_Ozero(_u10507))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10507), _u10508), c_Groups_Ozero__class_Ozero(_u10507))) )).
% 27.71/27.95 cnf(matrix-5280, plain, ( ~class_Rings_Olinordered__idom(_u10507) | ~hBOOL(hAPP(hAPP(c_member(_u10507), _u10508), c_Int_Oring__1__class_OInts(_u10507))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10507), _u10508), c_Groups_Ozero__class_Ozero(_u10507))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10507), c_Groups_Oone__class_Oone(_u10507)), _u10508)), _u10508)), c_Groups_Ozero__class_Ozero(_u10507))) )).
% 27.71/27.95 cnf(matrix-5281, plain, ( ~class_Lattices_Olattice(_u10509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10509), _u10510)) | ~hBOOL(hAPP(hAPP(c_member(_u10509), _u10511), _u10510)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10509, tc_HOL_Obool)), _u10510), hAPP(hAPP(c_Set_Oinsert(_u10509), _u10511), c_Orderings_Obot__class_Obot(tc_fun(_u10509, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10509, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10509, _u10510) = _u10511) )).
% 27.71/27.95 cnf(matrix-5282, plain, ( ~class_Lattices_Olattice(_u10509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10509), _u10510)) | ~hBOOL(hAPP(hAPP(c_member(_u10509), _u10511), _u10510)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10509, tc_HOL_Obool)), _u10510), hAPP(hAPP(c_Set_Oinsert(_u10509), _u10511), c_Orderings_Obot__class_Obot(tc_fun(_u10509, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10509, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10509, _u10510) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10509), _u10511), c_Big__Operators_Olattice__class_OSup__fin(_u10509, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10509, tc_HOL_Obool)), _u10510), hAPP(hAPP(c_Set_Oinsert(_u10509), _u10511), c_Orderings_Obot__class_Obot(tc_fun(_u10509, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5283, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10512, _u10513, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10512)), _u10514), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10512), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10512, _u10513, _u10515) | c_Hoare__Mirabelle_Ohoare__derivs(_u10512, _u10513, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10512)), _u10514), _u10515)) )).
% 27.71/27.95 cnf(matrix-5284, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10516, _u10517, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10516)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10516), _u10518), c_Com_Ocom_OSKIP), _u10518)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10516), tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5285, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10519, _u10520, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10519)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10519), _u10521), c_Com_Ocom_OSKIP), _u10521)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10519), tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5286, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10522, _u10523, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10522)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10522), _u10524), _u10525), _u10526)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10522), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10522, _u10523, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10522)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10522), _u10526), _u10527), _u10528)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10522), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u10522, _u10523, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10522)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10522), _u10524), c_Com_Ocom_OSemi(_u10525, _u10527)), _u10528)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10522), tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5287, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10529, _u10530, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10529), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5288, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10531, _u10532, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10531), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5289, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10533, _u10534, _u10535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10533), tc_HOL_Obool)), _u10536), _u10535)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10533, _u10534, _u10536) )).
% 27.71/27.95 cnf(matrix-5290, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10537), tc_HOL_Obool)), _u10538), _u10539)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10537, _u10539, _u10538) )).
% 27.71/27.95 cnf(matrix-5291, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10540, _u10541, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10540)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10540), hAPP(hAPP(c_COMBC(_u10540, 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)), _u10540), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u10542)), 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), _u10543)), _u10544))), c_Com_Ocom_OAss(_u10543, _u10544)), _u10542)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10540), tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5292, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10545, _u10546, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10545)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10545), hAPP(hAPP(c_COMBC(_u10545, 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)), _u10545), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u10547)), 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), _u10548)), _u10549))), c_Com_Ocom_OAss(_u10548, _u10549)), _u10547)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10545), tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5293, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10550, _u10551, _u10552) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10550, _u10553, _u10551) | c_Hoare__Mirabelle_Ohoare__derivs(_u10550, _u10553, _u10552) )).
% 27.71/27.95 cnf(matrix-5294, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10561), _u10563), _u10565), _u10567) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10561), _u10569), _u10571), _u10573)) | ( _u10563 = _u10569) )).
% 27.71/27.95 cnf(matrix-5295, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10561), _u10563), _u10565), _u10567) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10561), _u10569), _u10571), _u10573)) | ( _u10565 = _u10571) )).
% 27.71/27.95 cnf(matrix-5296, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10561), _u10563), _u10565), _u10567) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10561), _u10569), _u10571), _u10573)) | ( _u10567 = _u10573) )).
% 27.71/27.95 cnf(matrix-5297, plain, ( ( _u10564 != _u10570) | ( _u10566 != _u10572) | ( _u10568 != _u10574) | ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10562), _u10564), _u10566), _u10568) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10562), _u10570), _u10572), _u10574)) )).
% 27.71/27.95 cnf(matrix-5298, plain, ( ~class_Lattices_Olattice(_u10575) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10575, hAPP(hAPP(c_Set_Oinsert(_u10575), _u10576), c_Orderings_Obot__class_Obot(tc_fun(_u10575, tc_HOL_Obool)))) = _u10576) )).
% 27.71/27.95 cnf(matrix-5299, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10577, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10577), tc_HOL_Obool)), _u10578), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u10577), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577))), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u10577)), _u10579)), c_Com_Ocom_OBODY)), _u10580)), _u10581)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u10577), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577))), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u10577)), _u10579)), 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))), _u10580)), _u10581)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10577, _u10578, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u10577), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577))), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u10577, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u10577))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u10577)), _u10579)), c_Com_Ocom_OBODY)), _u10580)), _u10581)) )).
% 27.71/27.95 cnf(matrix-5300, plain, ( ~class_Rings_Oring__1(_u10582) | hBOOL(hAPP(hAPP(c_member(_u10582), c_Groups_Ozero__class_Ozero(_u10582)), c_Int_Oring__1__class_OInts(_u10582))) )).
% 27.71/27.95 cnf(matrix-5301, plain, ( ~class_Rings_Oring__1(_u10583) | ~hBOOL(hAPP(hAPP(c_member(_u10583), _u10584), c_Int_Oring__1__class_OInts(_u10583))) | ~hBOOL(hAPP(hAPP(c_member(_u10583), _u10585), c_Int_Oring__1__class_OInts(_u10583))) | hBOOL(hAPP(hAPP(c_member(_u10583), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10583), _u10584), _u10585)), c_Int_Oring__1__class_OInts(_u10583))) )).
% 27.71/27.95 cnf(matrix-5302, plain, ( ~class_Rings_Oring__1(_u10586) | ~hBOOL(hAPP(hAPP(c_member(_u10586), _u10587), c_Int_Oring__1__class_OInts(_u10586))) | ~hBOOL(hAPP(hAPP(c_member(_u10586), _u10588), c_Int_Oring__1__class_OInts(_u10586))) | hBOOL(hAPP(hAPP(c_member(_u10586), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10586), _u10587), _u10588)), c_Int_Oring__1__class_OInts(_u10586))) )).
% 27.71/27.95 cnf(matrix-5303, plain, ( ~class_Rings_Oring__1(_u10589) | ~hBOOL(hAPP(hAPP(c_member(_u10589), _u10590), c_Int_Oring__1__class_OInts(_u10589))) | ~hBOOL(hAPP(hAPP(c_member(_u10589), _u10591), c_Int_Oring__1__class_OInts(_u10589))) | hBOOL(hAPP(hAPP(c_member(_u10589), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10589), _u10590), _u10591)), c_Int_Oring__1__class_OInts(_u10589))) )).
% 27.71/27.95 cnf(matrix-5304, plain, ( ~class_Int_Onumber__ring(_u10592) | hBOOL(hAPP(hAPP(c_member(_u10592), hAPP(c_Int_Onumber__class_Onumber__of(_u10592), _u10593)), c_Int_Oring__1__class_OInts(_u10592))) )).
% 27.71/27.95 cnf(matrix-5305, plain, ( ~class_Rings_Oring__1(_u10594) | hBOOL(hAPP(hAPP(c_member(_u10594), c_Groups_Oone__class_Oone(_u10594)), c_Int_Oring__1__class_OInts(_u10594))) )).
% 27.71/27.95 cnf(matrix-5306, plain, ( ~class_Rings_Oring__1(_u10595) | ~hBOOL(hAPP(hAPP(c_member(_u10595), _u10596), c_Int_Oring__1__class_OInts(_u10595))) | hBOOL(hAPP(hAPP(c_member(_u10595), hAPP(c_Groups_Ouminus__class_Ouminus(_u10595), _u10596)), c_Int_Oring__1__class_OInts(_u10595))) )).
% 27.71/27.95 cnf(matrix-5307, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10597, _u10598, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10597)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10597), _u10599), _u10600), hAPP(hAPP(c_COMBC(_u10597, 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)), _u10597), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u10601)), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), c_Com_Ovname_OLoc(_u10602))), hAPP(hAPP(c_Natural_Ogetlocs, _u10603), _u10602))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10597), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u10597, _u10598, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10597)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10597), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u10597), hAPP(c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj), hAPP(c_fequal, _u10603)))), hAPP(hAPP(c_COMBC(_u10597, 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)), _u10597), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u10599)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), c_Com_Ovname_OLoc(_u10602))), _u10604)))), c_Com_Ocom_OLocal(_u10602, _u10604, _u10600)), _u10601)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10597), tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5308, plain, ( ~class_Rings_Oring__1(_u10605) | hBOOL(hAPP(hAPP(c_member(_u10605), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10605), _u10606)), c_Int_Oring__1__class_OInts(_u10605))) )).
% 27.71/27.95 cnf(matrix-5309, plain, ( ~class_Rings_Oring__1(_u10607) | ~hBOOL(hAPP(hAPP(c_member(_u10607), _u10608), c_Int_Oring__1__class_OInts(_u10607))) | hBOOL(hAPP(hAPP(c_member(_u10607), hAPP(hAPP(c_Power_Opower__class_Opower(_u10607), _u10608), _u10609)), c_Int_Oring__1__class_OInts(_u10607))) )).
% 27.71/27.95 cnf(matrix-5310, plain, ( ~class_Rings_Oring__1(_u10610) | hBOOL(hAPP(hAPP(c_member(_u10610), hAPP(c_Int_Oring__1__class_Oof__int(_u10610), _u10611)), c_Int_Oring__1__class_OInts(_u10610))) )).
% 27.71/27.95 cnf(matrix-5311, plain, ( ~class_Lattices_Olattice(_u10612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10612), _u10613)) | ~hBOOL(hAPP(hAPP(c_member(_u10612), _u10614), _u10613)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10612), _u10614), c_Big__Operators_Olattice__class_OSup__fin(_u10612, _u10613)) = c_Big__Operators_Olattice__class_OSup__fin(_u10612, _u10613)) )).
% 27.71/27.95 cnf(matrix-5312, plain, ( ~class_Int_Oring__char__0(_u10615) | ~hBOOL(hAPP(hAPP(c_member(_u10615), _u10616), c_Int_Oring__1__class_OInts(_u10615))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10615), _u10616), _u10616) != c_Groups_Ozero__class_Ozero(_u10615)) | ( _u10616 = c_Groups_Ozero__class_Ozero(_u10615)) )).
% 27.71/27.95 cnf(matrix-5313, plain, ( ~class_Int_Oring__char__0(_u10615) | ~hBOOL(hAPP(hAPP(c_member(_u10615), _u10616), c_Int_Oring__1__class_OInts(_u10615))) | ( _u10616 != c_Groups_Ozero__class_Ozero(_u10615)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10615), _u10616), _u10616) = c_Groups_Ozero__class_Ozero(_u10615)) )).
% 27.71/27.95 cnf(matrix-5314, plain, ( ~class_Lattices_Olattice(_u10617) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10617), _u10618)) | ( _u10618 = c_Orderings_Obot__class_Obot(tc_fun(_u10617, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10617, hAPP(hAPP(c_Set_Oinsert(_u10617), _u10619), _u10618)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10617), _u10619), c_Big__Operators_Olattice__class_OSup__fin(_u10617, _u10618))) )).
% 27.71/27.95 cnf(matrix-5315, plain, ( ~class_Lattices_Olattice(_u10620) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10620), _u10621)) | ( _u10622 = c_Orderings_Obot__class_Obot(tc_fun(_u10620, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10620, tc_HOL_Obool)), _u10622), _u10621)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10620), c_Big__Operators_Olattice__class_OSup__fin(_u10620, _u10622)), c_Big__Operators_Olattice__class_OSup__fin(_u10620, _u10621)) = c_Big__Operators_Olattice__class_OSup__fin(_u10620, _u10621)) )).
% 27.71/27.95 cnf(matrix-5316, plain, ( ~class_Lattices_Olattice(_u10623) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10623), _u10624)) | ( _u10624 = c_Orderings_Obot__class_Obot(tc_fun(_u10623, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10623), _u10625)) | ( _u10625 = c_Orderings_Obot__class_Obot(tc_fun(_u10623, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10623, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10623, tc_HOL_Obool)), _u10624), _u10625)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10623), c_Big__Operators_Olattice__class_OSup__fin(_u10623, _u10624)), c_Big__Operators_Olattice__class_OSup__fin(_u10623, _u10625))) )).
% 27.71/27.95 cnf(matrix-5317, plain, ( ~class_Int_Oring__char__0(_u10626) | ~hBOOL(hAPP(hAPP(c_member(_u10626), _u10627), c_Int_Oring__1__class_OInts(_u10626))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10626), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10626), c_Groups_Oone__class_Oone(_u10626)), _u10627)), _u10627) != c_Groups_Ozero__class_Ozero(_u10626)) )).
% 27.71/27.95 cnf(matrix-5318, plain, ( ~class_Lattices_Olattice(_u10628) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10628), _u10629)) | hBOOL(hAPP(hAPP(c_member(_u10628), _u10630), _u10629)) | ( _u10629 = c_Orderings_Obot__class_Obot(tc_fun(_u10628, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10628, hAPP(hAPP(c_Set_Oinsert(_u10628), _u10630), _u10629)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10628), _u10630), c_Big__Operators_Olattice__class_OSup__fin(_u10628, _u10629))) )).
% 27.71/27.95 cnf(matrix-5319, plain, ( ~class_Lattices_Olattice(_u10631) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10631), _u10632)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10631, tc_HOL_Obool)), _u10632), hAPP(hAPP(c_Set_Oinsert(_u10631), _u10633), c_Orderings_Obot__class_Obot(tc_fun(_u10631, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10631, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10631, hAPP(hAPP(c_Set_Oinsert(_u10631), _u10633), _u10632)) = _u10633) )).
% 27.71/27.95 cnf(matrix-5320, plain, ( ~class_Lattices_Olattice(_u10631) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10631), _u10632)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10631, tc_HOL_Obool)), _u10632), hAPP(hAPP(c_Set_Oinsert(_u10631), _u10633), c_Orderings_Obot__class_Obot(tc_fun(_u10631, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10631, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u10631, hAPP(hAPP(c_Set_Oinsert(_u10631), _u10633), _u10632)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10631), _u10633), c_Big__Operators_Olattice__class_OSup__fin(_u10631, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10631, tc_HOL_Obool)), _u10632), hAPP(hAPP(c_Set_Oinsert(_u10631), _u10633), c_Orderings_Obot__class_Obot(tc_fun(_u10631, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5321, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u10634, _u10635, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10634), _u10636), _u10637), _u10638)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.95 cnf(matrix-5322, plain, ( ( c_Hoare__Mirabelle_OMGT(_u10639) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), _u10639), c_Natural_Oevalc(_u10639))) )).
% 27.71/27.95 cnf(matrix-5323, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u10640)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10640), _u10641), _u10642), _u10643)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.95 cnf(matrix-5324, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u10644, _u10645, _u10646, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10644), _u10647), _u10648), _u10649)) = hAPP(hAPP(hAPP(_u10646, _u10647), _u10648), _u10649)) )).
% 27.71/27.95 cnf(matrix-5325, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u10650, _u10651, _u10652, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10650), _u10653), _u10654), _u10655)) = hAPP(hAPP(hAPP(_u10652, _u10653), _u10654), _u10655)) )).
% 27.71/27.95 cnf(matrix-5326, plain, ( ~class_Lattices_Olattice(_u10658) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10658), _u10659)) | ( _u10659 = c_Orderings_Obot__class_Obot(tc_fun(_u10658, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10658), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10658), skolem202(_u10659, _u10658)), skolem203(_u10659, _u10658))), hAPP(hAPP(c_Set_Oinsert(_u10658), skolem202(_u10659, _u10658)), hAPP(hAPP(c_Set_Oinsert(_u10658), skolem203(_u10659, _u10658)), c_Orderings_Obot__class_Obot(tc_fun(_u10658, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10658), c_Big__Operators_Olattice__class_OSup__fin(_u10658, _u10659)), _u10659)) )).
% 27.71/27.95 cnf(matrix-5327, plain, ( ~class_Orderings_Olinorder(_u10660) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10660), _u10661)) | ~hBOOL(hAPP(hAPP(c_member(_u10660), _u10662), _u10661)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10660, tc_HOL_Obool)), _u10661), hAPP(hAPP(c_Set_Oinsert(_u10660), _u10662), c_Orderings_Obot__class_Obot(tc_fun(_u10660, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10660, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10660, _u10661) = _u10662) )).
% 27.71/27.95 cnf(matrix-5328, plain, ( ~class_Orderings_Olinorder(_u10660) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10660), _u10661)) | ~hBOOL(hAPP(hAPP(c_member(_u10660), _u10662), _u10661)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10660, tc_HOL_Obool)), _u10661), hAPP(hAPP(c_Set_Oinsert(_u10660), _u10662), c_Orderings_Obot__class_Obot(tc_fun(_u10660, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10660, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10660, _u10661) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10660), _u10662), c_Big__Operators_Olinorder__class_OMax(_u10660, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10660, tc_HOL_Obool)), _u10661), hAPP(hAPP(c_Set_Oinsert(_u10660), _u10662), c_Orderings_Obot__class_Obot(tc_fun(_u10660, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5329, plain, ( ~class_Orderings_Olinorder(_u10663) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10663), _u10664)) | ~hBOOL(hAPP(hAPP(c_member(_u10663), _u10665), _u10664)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10663, tc_HOL_Obool)), _u10664), hAPP(hAPP(c_Set_Oinsert(_u10663), _u10665), c_Orderings_Obot__class_Obot(tc_fun(_u10663, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10663, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10663, _u10664) = _u10665) )).
% 27.71/27.95 cnf(matrix-5330, plain, ( ~class_Orderings_Olinorder(_u10663) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10663), _u10664)) | ~hBOOL(hAPP(hAPP(c_member(_u10663), _u10665), _u10664)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10663, tc_HOL_Obool)), _u10664), hAPP(hAPP(c_Set_Oinsert(_u10663), _u10665), c_Orderings_Obot__class_Obot(tc_fun(_u10663, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10663, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10663, _u10664) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10663), _u10665), c_Big__Operators_Olinorder__class_OMin(_u10663, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10663, tc_HOL_Obool)), _u10664), hAPP(hAPP(c_Set_Oinsert(_u10663), _u10665), c_Orderings_Obot__class_Obot(tc_fun(_u10663, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5331, plain, ( hBOOL(hAPP(hAPP(c_member(_u10666), _u10667), c_Orderings_Otop__class_Otop(tc_fun(_u10666, tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5332, plain, ( ~class_Groups_Olinordered__ab__group__add(_u10668) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10668), _u10669)) | ( _u10669 = c_Orderings_Obot__class_Obot(tc_fun(_u10668, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10668), c_Big__Operators_Olinorder__class_OMax(_u10668, _u10669)) = c_Big__Operators_Olinorder__class_OMin(_u10668, hAPP(c_Set_Oimage(_u10668, _u10668, c_Groups_Ouminus__class_Ouminus(_u10668)), _u10669))) )).
% 27.71/27.95 cnf(matrix-5333, plain, ( ~class_Groups_Olinordered__ab__group__add(_u10670) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10670), _u10671)) | ( _u10671 = c_Orderings_Obot__class_Obot(tc_fun(_u10670, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10670), c_Big__Operators_Olinorder__class_OMin(_u10670, _u10671)) = c_Big__Operators_Olinorder__class_OMax(_u10670, hAPP(c_Set_Oimage(_u10670, _u10670, c_Groups_Ouminus__class_Ouminus(_u10670)), _u10671))) )).
% 27.71/27.95 cnf(matrix-5334, plain, ( ~class_Orderings_Olinorder(_u10672) | ( c_Big__Operators_Olinorder__class_OMin(_u10672, hAPP(hAPP(c_Set_Oinsert(_u10672), _u10673), c_Orderings_Obot__class_Obot(tc_fun(_u10672, tc_HOL_Obool)))) = _u10673) )).
% 27.71/27.95 cnf(matrix-5335, plain, ( ~class_Orderings_Olinorder(_u10674) | ( c_Big__Operators_Olinorder__class_OMax(_u10674, hAPP(hAPP(c_Set_Oinsert(_u10674), _u10675), c_Orderings_Obot__class_Obot(tc_fun(_u10674, tc_HOL_Obool)))) = _u10675) )).
% 27.71/27.95 cnf(matrix-5336, plain, ( ~class_Orderings_Olinorder(_u10676) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10676), _u10677)) | ~hBOOL(hAPP(hAPP(c_member(_u10676), _u10678), _u10677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10676), c_Big__Operators_Olinorder__class_OMin(_u10676, _u10677)), _u10678)) )).
% 27.71/27.95 cnf(matrix-5337, plain, ( ~class_Orderings_Olinorder(_u10679) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10679), _u10680)) | ~hBOOL(hAPP(hAPP(c_member(_u10679), _u10681), _u10680)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10679), _u10681), c_Big__Operators_Olinorder__class_OMax(_u10679, _u10680))) )).
% 27.71/27.95 cnf(matrix-5338, plain, ( ~class_Orderings_Olinorder(_u10682) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10682), _u10683)) | ( _u10683 = c_Orderings_Obot__class_Obot(tc_fun(_u10682, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10682), c_Big__Operators_Olinorder__class_OMin(_u10682, _u10683)), _u10683)) )).
% 27.71/27.95 cnf(matrix-5339, plain, ( ~class_Orderings_Olinorder(_u10684) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10684), _u10685)) | ( _u10685 = c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10684), c_Big__Operators_Olinorder__class_OMax(_u10684, _u10685)), _u10685)) )).
% 27.71/27.95 cnf(matrix-5340, plain, ( ~class_Orderings_Olinorder(_u10686) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10686), _u10687)) | ~hBOOL(hAPP(hAPP(c_member(_u10686), _u10688), _u10687)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10686), _u10688), c_Big__Operators_Olinorder__class_OMin(_u10686, _u10687)) = c_Big__Operators_Olinorder__class_OMin(_u10686, _u10687)) )).
% 27.71/27.95 cnf(matrix-5341, 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_Omax(_u10689), _u10691), c_Big__Operators_Olinorder__class_OMax(_u10689, _u10690)) = c_Big__Operators_Olinorder__class_OMax(_u10689, _u10690)) )).
% 27.71/27.95 cnf(matrix-5342, plain, ( ~class_Orderings_Olinorder(_u10692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10692, tc_HOL_Obool)), _u10693), _u10694)) | ( _u10693 = c_Orderings_Obot__class_Obot(tc_fun(_u10692, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10692), _u10694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10692), c_Big__Operators_Olinorder__class_OMax(_u10692, _u10693)), c_Big__Operators_Olinorder__class_OMax(_u10692, _u10694))) )).
% 27.71/27.95 cnf(matrix-5343, plain, ( ~class_Orderings_Olinorder(_u10695) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10695, tc_HOL_Obool)), _u10696), _u10697)) | ( _u10696 = c_Orderings_Obot__class_Obot(tc_fun(_u10695, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10695), _u10697)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10695), c_Big__Operators_Olinorder__class_OMin(_u10695, _u10697)), c_Big__Operators_Olinorder__class_OMin(_u10695, _u10696))) )).
% 27.71/27.95 cnf(matrix-5344, plain, ( ~class_Orderings_Olinorder(_u10698) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10698), _u10699)) | ( _u10699 = c_Orderings_Obot__class_Obot(tc_fun(_u10698, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10698, hAPP(hAPP(c_Set_Oinsert(_u10698), _u10700), _u10699)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10698), _u10700), c_Big__Operators_Olinorder__class_OMin(_u10698, _u10699))) )).
% 27.71/27.95 cnf(matrix-5345, plain, ( ~class_Orderings_Olinorder(_u10701) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10701), _u10702)) | ( _u10702 = c_Orderings_Obot__class_Obot(tc_fun(_u10701, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10701, hAPP(hAPP(c_Set_Oinsert(_u10701), _u10703), _u10702)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10701), _u10703), c_Big__Operators_Olinorder__class_OMax(_u10701, _u10702))) )).
% 27.71/27.95 cnf(matrix-5346, plain, ( ~class_Orderings_Olinorder(_u10704) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10704), _u10705)) | ( _u10706 = c_Orderings_Obot__class_Obot(tc_fun(_u10704, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10704, tc_HOL_Obool)), _u10706), _u10705)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10704), c_Big__Operators_Olinorder__class_OMin(_u10704, _u10706)), c_Big__Operators_Olinorder__class_OMin(_u10704, _u10705)) = c_Big__Operators_Olinorder__class_OMin(_u10704, _u10705)) )).
% 27.71/27.95 cnf(matrix-5347, plain, ( ~class_Orderings_Olinorder(_u10707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10707), _u10708)) | ( _u10709 = c_Orderings_Obot__class_Obot(tc_fun(_u10707, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10707, tc_HOL_Obool)), _u10709), _u10708)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10707), c_Big__Operators_Olinorder__class_OMax(_u10707, _u10709)), c_Big__Operators_Olinorder__class_OMax(_u10707, _u10708)) = c_Big__Operators_Olinorder__class_OMax(_u10707, _u10708)) )).
% 27.71/27.95 cnf(matrix-5348, plain, ( ~class_Orderings_Olinorder(_u10710) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10710), _u10711)) | ( _u10711 = c_Orderings_Obot__class_Obot(tc_fun(_u10710, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10710), _u10712)) | ( _u10712 = c_Orderings_Obot__class_Obot(tc_fun(_u10710, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10710, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10710, tc_HOL_Obool)), _u10711), _u10712)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10710), c_Big__Operators_Olinorder__class_OMin(_u10710, _u10711)), c_Big__Operators_Olinorder__class_OMin(_u10710, _u10712))) )).
% 27.71/27.95 cnf(matrix-5349, plain, ( ~class_Orderings_Olinorder(_u10713) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10713), _u10714)) | ( _u10714 = c_Orderings_Obot__class_Obot(tc_fun(_u10713, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10713), _u10715)) | ( _u10715 = c_Orderings_Obot__class_Obot(tc_fun(_u10713, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10713, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10713, tc_HOL_Obool)), _u10714), _u10715)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10713), c_Big__Operators_Olinorder__class_OMax(_u10713, _u10714)), c_Big__Operators_Olinorder__class_OMax(_u10713, _u10715))) )).
% 27.71/27.95 cnf(matrix-5350, plain, ( ~class_Orderings_Olinorder(_u10716) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10716), _u10717)) | hBOOL(hAPP(hAPP(c_member(_u10716), _u10718), _u10717)) | ( _u10717 = c_Orderings_Obot__class_Obot(tc_fun(_u10716, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10716, hAPP(hAPP(c_Set_Oinsert(_u10716), _u10718), _u10717)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10716), _u10718), c_Big__Operators_Olinorder__class_OMin(_u10716, _u10717))) )).
% 27.71/27.95 cnf(matrix-5351, plain, ( ~class_Orderings_Olinorder(_u10719) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10719), _u10720)) | hBOOL(hAPP(hAPP(c_member(_u10719), _u10721), _u10720)) | ( _u10720 = c_Orderings_Obot__class_Obot(tc_fun(_u10719, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10719, hAPP(hAPP(c_Set_Oinsert(_u10719), _u10721), _u10720)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10719), _u10721), c_Big__Operators_Olinorder__class_OMax(_u10719, _u10720))) )).
% 27.71/27.95 cnf(matrix-5352, plain, ( ~class_Orderings_Olinorder(_u10722) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10722), _u10723)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10722, tc_HOL_Obool)), _u10723), hAPP(hAPP(c_Set_Oinsert(_u10722), _u10724), c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10722, hAPP(hAPP(c_Set_Oinsert(_u10722), _u10724), _u10723)) = _u10724) )).
% 27.71/27.95 cnf(matrix-5353, plain, ( ~class_Orderings_Olinorder(_u10722) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10722), _u10723)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10722, tc_HOL_Obool)), _u10723), hAPP(hAPP(c_Set_Oinsert(_u10722), _u10724), c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10722, hAPP(hAPP(c_Set_Oinsert(_u10722), _u10724), _u10723)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10722), _u10724), c_Big__Operators_Olinorder__class_OMin(_u10722, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10722, tc_HOL_Obool)), _u10723), hAPP(hAPP(c_Set_Oinsert(_u10722), _u10724), c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5354, plain, ( ~class_Orderings_Olinorder(_u10725) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10725), _u10726)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10725, tc_HOL_Obool)), _u10726), hAPP(hAPP(c_Set_Oinsert(_u10725), _u10727), c_Orderings_Obot__class_Obot(tc_fun(_u10725, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10725, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10725, hAPP(hAPP(c_Set_Oinsert(_u10725), _u10727), _u10726)) = _u10727) )).
% 27.71/27.95 cnf(matrix-5355, plain, ( ~class_Orderings_Olinorder(_u10725) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10725), _u10726)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10725, tc_HOL_Obool)), _u10726), hAPP(hAPP(c_Set_Oinsert(_u10725), _u10727), c_Orderings_Obot__class_Obot(tc_fun(_u10725, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10725, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10725, hAPP(hAPP(c_Set_Oinsert(_u10725), _u10727), _u10726)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10725), _u10727), c_Big__Operators_Olinorder__class_OMax(_u10725, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10725, tc_HOL_Obool)), _u10726), hAPP(hAPP(c_Set_Oinsert(_u10725), _u10727), c_Orderings_Obot__class_Obot(tc_fun(_u10725, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5356, plain, ( ~class_Orderings_Olinorder(_u10730) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10730), _u10731)) | ( _u10731 = c_Orderings_Obot__class_Obot(tc_fun(_u10730, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10730), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10730), skolem204(_u10731, _u10730)), skolem205(_u10731, _u10730))), hAPP(hAPP(c_Set_Oinsert(_u10730), skolem204(_u10731, _u10730)), hAPP(hAPP(c_Set_Oinsert(_u10730), skolem205(_u10731, _u10730)), c_Orderings_Obot__class_Obot(tc_fun(_u10730, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10730), c_Big__Operators_Olinorder__class_OMax(_u10730, _u10731)), _u10731)) )).
% 27.71/27.95 cnf(matrix-5357, plain, ( ~class_Orderings_Olinorder(_u10734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10734), _u10735)) | ( _u10735 = c_Orderings_Obot__class_Obot(tc_fun(_u10734, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10734), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10734), skolem206(_u10735, _u10734)), skolem207(_u10735, _u10734))), hAPP(hAPP(c_Set_Oinsert(_u10734), skolem206(_u10735, _u10734)), hAPP(hAPP(c_Set_Oinsert(_u10734), skolem207(_u10735, _u10734)), c_Orderings_Obot__class_Obot(tc_fun(_u10734, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10734), c_Big__Operators_Olinorder__class_OMin(_u10734, _u10735)), _u10735)) )).
% 27.71/27.95 cnf(matrix-5358, plain, ( ~c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, _u10755, hAPP(hAPP(_u10751, _u10757), _u10759)) | ( _u10755 = c_Orderings_Obot__class_Obot(tc_fun(_u10747, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10747), skolem208(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)), _u10755)) )).
% 27.71/27.95 cnf(matrix-5359, plain, ( ~c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, _u10755, hAPP(hAPP(_u10751, _u10757), _u10759)) | ( _u10755 = c_Orderings_Obot__class_Obot(tc_fun(_u10747, tc_HOL_Obool))) | ( hAPP(hAPP(_u10751, _u10757), _u10759) = hAPP(hAPP(_u10751, skolem208(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)), skolem209(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747))) )).
% 27.71/27.95 cnf(matrix-5360, plain, ( ~c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, _u10755, hAPP(hAPP(_u10751, _u10757), _u10759)) | ( _u10755 = c_Orderings_Obot__class_Obot(tc_fun(_u10747, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10747, tc_HOL_Obool)), _u10755), hAPP(hAPP(c_Set_Oinsert(_u10747), skolem208(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)), c_Orderings_Obot__class_Obot(tc_fun(_u10747, tc_HOL_Obool)))), skolem209(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)) )).
% 27.71/27.95 cnf(matrix-5361, plain, ( ~c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, _u10755, hAPP(hAPP(_u10751, _u10757), _u10759)) | ( hAPP(hAPP(_u10751, _u10757), _u10759) = _u10753) | hBOOL(hAPP(hAPP(c_member(_u10747), skolem208(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)), _u10755)) )).
% 27.71/27.95 cnf(matrix-5362, plain, ( ~c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, _u10755, hAPP(hAPP(_u10751, _u10757), _u10759)) | ( hAPP(hAPP(_u10751, _u10757), _u10759) = _u10753) | ( hAPP(hAPP(_u10751, _u10757), _u10759) = hAPP(hAPP(_u10751, skolem208(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)), skolem209(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747))) )).
% 27.71/27.95 cnf(matrix-5363, plain, ( ~c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, _u10755, hAPP(hAPP(_u10751, _u10757), _u10759)) | ( hAPP(hAPP(_u10751, _u10757), _u10759) = _u10753) | c_Nitpick_Ofold__graph_H(_u10747, _u10749, _u10751, _u10753, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10747, tc_HOL_Obool)), _u10755), hAPP(hAPP(c_Set_Oinsert(_u10747), skolem208(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)), c_Orderings_Obot__class_Obot(tc_fun(_u10747, tc_HOL_Obool)))), skolem209(_u10759, _u10757, _u10755, _u10753, _u10751, _u10749, _u10747)) )).
% 27.71/27.95 cnf(matrix-5364, plain, ( c_Nitpick_Ofold__graph_H(_u10748, _u10750, _u10752, _u10754, _u10756, hAPP(hAPP(_u10752, _u10758), _u10760)) | ( _u10756 != c_Orderings_Obot__class_Obot(tc_fun(_u10748, tc_HOL_Obool))) | ( hAPP(hAPP(_u10752, _u10758), _u10760) != _u10754) )).
% 27.71/27.95 cnf(matrix-5365, plain, ( c_Nitpick_Ofold__graph_H(_u10748, _u10750, _u10752, _u10754, _u10756, hAPP(hAPP(_u10752, _u10758), _u10760)) | ~hBOOL(hAPP(hAPP(c_member(_u10748), _u10739), _u10756)) | ( hAPP(hAPP(_u10752, _u10758), _u10760) != hAPP(hAPP(_u10752, _u10739), _u10738)) | ~c_Nitpick_Ofold__graph_H(_u10748, _u10750, _u10752, _u10754, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10748, tc_HOL_Obool)), _u10756), hAPP(hAPP(c_Set_Oinsert(_u10748), _u10739), c_Orderings_Obot__class_Obot(tc_fun(_u10748, tc_HOL_Obool)))), _u10738) )).
% 27.71/27.95 cnf(matrix-5366, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10769, _u10771), tc_prod(_u10769, _u10771))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10769, _u10771), tc_prod(_u10769, _u10771)), hAPP(hAPP(c_Product__Type_OPair(_u10769, _u10771), _u10773), _u10775)), hAPP(hAPP(c_Product__Type_OPair(_u10769, _u10771), _u10777), _u10779))), c_Wellfounded_Olex__prod(_u10769, _u10771, _u10781, _u10783))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10769, _u10769)), hAPP(hAPP(c_Product__Type_OPair(_u10769, _u10769), _u10773), _u10777)), _u10781)) | ( _u10773 = _u10777) )).
% 27.71/27.95 cnf(matrix-5367, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10769, _u10771), tc_prod(_u10769, _u10771))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10769, _u10771), tc_prod(_u10769, _u10771)), hAPP(hAPP(c_Product__Type_OPair(_u10769, _u10771), _u10773), _u10775)), hAPP(hAPP(c_Product__Type_OPair(_u10769, _u10771), _u10777), _u10779))), c_Wellfounded_Olex__prod(_u10769, _u10771, _u10781, _u10783))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10769, _u10769)), hAPP(hAPP(c_Product__Type_OPair(_u10769, _u10769), _u10773), _u10777)), _u10781)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10771, _u10771)), hAPP(hAPP(c_Product__Type_OPair(_u10771, _u10771), _u10775), _u10779)), _u10783)) )).
% 27.71/27.95 cnf(matrix-5368, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10770, _u10772), tc_prod(_u10770, _u10772))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10770, _u10772), tc_prod(_u10770, _u10772)), hAPP(hAPP(c_Product__Type_OPair(_u10770, _u10772), _u10774), _u10776)), hAPP(hAPP(c_Product__Type_OPair(_u10770, _u10772), _u10778), _u10780))), c_Wellfounded_Olex__prod(_u10770, _u10772, _u10782, _u10784))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10770, _u10770)), hAPP(hAPP(c_Product__Type_OPair(_u10770, _u10770), _u10774), _u10778)), _u10782)) )).
% 27.71/27.95 cnf(matrix-5369, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10770, _u10772), tc_prod(_u10770, _u10772))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10770, _u10772), tc_prod(_u10770, _u10772)), hAPP(hAPP(c_Product__Type_OPair(_u10770, _u10772), _u10774), _u10776)), hAPP(hAPP(c_Product__Type_OPair(_u10770, _u10772), _u10778), _u10780))), c_Wellfounded_Olex__prod(_u10770, _u10772, _u10782, _u10784))) | ( _u10774 != _u10778) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10772, _u10772)), hAPP(hAPP(c_Product__Type_OPair(_u10772, _u10772), _u10776), _u10780)), _u10784)) )).
% 27.71/27.95 cnf(matrix-5370, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u10788, tc_HOL_Obool), tc_fun(_u10788, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u10788, tc_HOL_Obool), tc_fun(_u10788, tc_HOL_Obool)), _u10790), _u10792)), c_Wellfounded_Ofinite__psubset(_u10788))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10788, tc_HOL_Obool)), _u10790), _u10792)) )).
% 27.71/27.95 cnf(matrix-5371, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u10788, tc_HOL_Obool), tc_fun(_u10788, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u10788, tc_HOL_Obool), tc_fun(_u10788, tc_HOL_Obool)), _u10790), _u10792)), c_Wellfounded_Ofinite__psubset(_u10788))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10788), _u10792)) )).
% 27.71/27.95 cnf(matrix-5372, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10789, tc_HOL_Obool)), _u10791), _u10793)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10789), _u10793)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u10789, tc_HOL_Obool), tc_fun(_u10789, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u10789, tc_HOL_Obool), tc_fun(_u10789, tc_HOL_Obool)), _u10791), _u10793)), c_Wellfounded_Ofinite__psubset(_u10789))) )).
% 27.71/27.95 cnf(matrix-5373, plain, ( ~hBOOL(hAPP(hAPP(_u10809, _u10796), _u10795)) | ~c_Natural_Oevaln(_u10811, _u10795, _u10807, _u10794) | hBOOL(hAPP(hAPP(_u10813, _u10796), _u10794)) | ~c_Hoare__Mirabelle_Otriple__valid(_u10805, _u10807, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10805), _u10809), _u10811), _u10813)) )).
% 27.71/27.95 cnf(matrix-5374, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u10806, _u10808, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10806), _u10810), _u10812), _u10814)) | hBOOL(hAPP(hAPP(_u10810, skolem210(_u10814, _u10812, _u10810, _u10808)), skolem211(_u10814, _u10812, _u10810, _u10808))) )).
% 27.71/27.95 cnf(matrix-5375, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u10806, _u10808, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10806), _u10810), _u10812), _u10814)) | c_Natural_Oevaln(_u10812, skolem211(_u10814, _u10812, _u10810, _u10808), _u10808, skolem212(_u10814, _u10812, _u10810, _u10808)) )).
% 27.71/27.95 cnf(matrix-5376, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u10806, _u10808, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10806), _u10810), _u10812), _u10814)) | ~hBOOL(hAPP(hAPP(_u10814, skolem210(_u10814, _u10812, _u10810, _u10808)), skolem212(_u10814, _u10812, _u10810, _u10808))) )).
% 27.71/27.95 cnf(matrix-5377, plain, ( ~hBOOL(hAPP(_u10815, _u10816)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10817, _u10817)), hAPP(hAPP(c_Product__Type_OPair(_u10817, _u10817), _u10818), _u10819)), hAPP(_u10820, _u10816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u10821, _u10817), tc_prod(_u10821, _u10817))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u10821, _u10817), tc_prod(_u10821, _u10817)), hAPP(hAPP(c_Product__Type_OPair(_u10821, _u10817), _u10816), _u10818)), hAPP(hAPP(c_Product__Type_OPair(_u10821, _u10817), _u10816), _u10819))), c_Recdef_Osame__fst(_u10821, _u10817, _u10815, _u10820))) )).
% 27.71/27.95 cnf(matrix-5378, plain, ( ~class_Orderings_Olinorder(_u10822) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10822), _u10823)) | ~hBOOL(hAPP(hAPP(c_member(_u10822), _u10824), _u10823)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10822, tc_HOL_Obool)), _u10823), hAPP(hAPP(c_Set_Oinsert(_u10822), _u10824), c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10822, c_Orderings_Oord__class_Omax(_u10822), _u10823) = _u10824) )).
% 27.71/27.95 cnf(matrix-5379, plain, ( ~class_Orderings_Olinorder(_u10822) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10822), _u10823)) | ~hBOOL(hAPP(hAPP(c_member(_u10822), _u10824), _u10823)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10822, tc_HOL_Obool)), _u10823), hAPP(hAPP(c_Set_Oinsert(_u10822), _u10824), c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10822, c_Orderings_Oord__class_Omax(_u10822), _u10823) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10822), _u10824), c_Big__Operators_Olattice_OSup__fin(_u10822, c_Orderings_Oord__class_Omax(_u10822), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10822, tc_HOL_Obool)), _u10823), hAPP(hAPP(c_Set_Oinsert(_u10822), _u10824), c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5380, plain, ( ~class_Orderings_Olinorder(_u10825) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10825), _u10826)) | ~hBOOL(hAPP(hAPP(c_member(_u10825), _u10827), _u10826)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10825, tc_HOL_Obool)), _u10826), hAPP(hAPP(c_Set_Oinsert(_u10825), _u10827), c_Orderings_Obot__class_Obot(tc_fun(_u10825, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10825, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10825, c_Orderings_Oord__class_Omin(_u10825), _u10826) = _u10827) )).
% 27.71/27.95 cnf(matrix-5381, plain, ( ~class_Orderings_Olinorder(_u10825) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10825), _u10826)) | ~hBOOL(hAPP(hAPP(c_member(_u10825), _u10827), _u10826)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10825, tc_HOL_Obool)), _u10826), hAPP(hAPP(c_Set_Oinsert(_u10825), _u10827), c_Orderings_Obot__class_Obot(tc_fun(_u10825, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10825, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10825, c_Orderings_Oord__class_Omin(_u10825), _u10826) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10825), _u10827), c_Big__Operators_Olattice_OInf__fin(_u10825, c_Orderings_Oord__class_Omin(_u10825), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10825, tc_HOL_Obool)), _u10826), hAPP(hAPP(c_Set_Oinsert(_u10825), _u10827), c_Orderings_Obot__class_Obot(tc_fun(_u10825, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5382, plain, ( ~class_Orderings_Olinorder(_u10828) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10828), _u10829)) | ( _u10829 = c_Orderings_Obot__class_Obot(tc_fun(_u10828, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10828), c_Big__Operators_Olattice_OInf__fin(_u10828, c_Orderings_Oord__class_Omin(_u10828), _u10829)), c_Big__Operators_Olattice_OSup__fin(_u10828, c_Orderings_Oord__class_Omax(_u10828), _u10829))) )).
% 27.71/27.95 cnf(matrix-5383, plain, ( ~class_Orderings_Olinorder(_u10830) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10830), _u10831)) | ~hBOOL(hAPP(hAPP(c_member(_u10830), _u10832), _u10831)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10830), _u10832), c_Big__Operators_Olattice_OInf__fin(_u10830, c_Orderings_Oord__class_Omin(_u10830), _u10831)) = c_Big__Operators_Olattice_OInf__fin(_u10830, c_Orderings_Oord__class_Omin(_u10830), _u10831)) )).
% 27.71/27.95 cnf(matrix-5384, plain, ( ~class_Orderings_Olinorder(_u10833) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10833), _u10834)) | ~hBOOL(hAPP(hAPP(c_member(_u10833), _u10835), _u10834)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10833), _u10835), c_Big__Operators_Olattice_OSup__fin(_u10833, c_Orderings_Oord__class_Omax(_u10833), _u10834)) = c_Big__Operators_Olattice_OSup__fin(_u10833, c_Orderings_Oord__class_Omax(_u10833), _u10834)) )).
% 27.71/27.95 cnf(matrix-5385, plain, ( ~class_Orderings_Olinorder(_u10836) | ( c_Big__Operators_Olattice_OInf__fin(_u10836, c_Orderings_Oord__class_Omin(_u10836), hAPP(hAPP(c_Set_Oinsert(_u10836), _u10837), c_Orderings_Obot__class_Obot(tc_fun(_u10836, tc_HOL_Obool)))) = _u10837) )).
% 27.71/27.95 cnf(matrix-5386, plain, ( ~class_Orderings_Olinorder(_u10838) | ( c_Big__Operators_Olattice_OSup__fin(_u10838, c_Orderings_Oord__class_Omax(_u10838), hAPP(hAPP(c_Set_Oinsert(_u10838), _u10839), c_Orderings_Obot__class_Obot(tc_fun(_u10838, tc_HOL_Obool)))) = _u10839) )).
% 27.71/27.95 cnf(matrix-5387, plain, ( ~class_Orderings_Olinorder(_u10840) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10840), _u10841)) | ( _u10841 = c_Orderings_Obot__class_Obot(tc_fun(_u10840, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10840, c_Orderings_Oord__class_Omin(_u10840), hAPP(hAPP(c_Set_Oinsert(_u10840), _u10842), _u10841)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10840), _u10842), c_Big__Operators_Olattice_OInf__fin(_u10840, c_Orderings_Oord__class_Omin(_u10840), _u10841))) )).
% 27.71/27.95 cnf(matrix-5388, plain, ( ~class_Orderings_Olinorder(_u10843) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10843), _u10844)) | ( _u10844 = c_Orderings_Obot__class_Obot(tc_fun(_u10843, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10843, c_Orderings_Oord__class_Omax(_u10843), hAPP(hAPP(c_Set_Oinsert(_u10843), _u10845), _u10844)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10843), _u10845), c_Big__Operators_Olattice_OSup__fin(_u10843, c_Orderings_Oord__class_Omax(_u10843), _u10844))) )).
% 27.71/27.95 cnf(matrix-5389, plain, ( ~class_Orderings_Olinorder(_u10846) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10846), _u10847)) | ( _u10848 = c_Orderings_Obot__class_Obot(tc_fun(_u10846, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10846, tc_HOL_Obool)), _u10848), _u10847)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10846), c_Big__Operators_Olattice_OInf__fin(_u10846, c_Orderings_Oord__class_Omin(_u10846), _u10848)), c_Big__Operators_Olattice_OInf__fin(_u10846, c_Orderings_Oord__class_Omin(_u10846), _u10847)) = c_Big__Operators_Olattice_OInf__fin(_u10846, c_Orderings_Oord__class_Omin(_u10846), _u10847)) )).
% 27.71/27.95 cnf(matrix-5390, plain, ( ~class_Orderings_Olinorder(_u10849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10849), _u10850)) | ( _u10851 = c_Orderings_Obot__class_Obot(tc_fun(_u10849, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10849, tc_HOL_Obool)), _u10851), _u10850)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10849), c_Big__Operators_Olattice_OSup__fin(_u10849, c_Orderings_Oord__class_Omax(_u10849), _u10851)), c_Big__Operators_Olattice_OSup__fin(_u10849, c_Orderings_Oord__class_Omax(_u10849), _u10850)) = c_Big__Operators_Olattice_OSup__fin(_u10849, c_Orderings_Oord__class_Omax(_u10849), _u10850)) )).
% 27.71/27.95 cnf(matrix-5391, plain, ( ~class_Orderings_Olinorder(_u10852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10852), _u10853)) | ~hBOOL(hAPP(hAPP(c_member(_u10852), _u10854), _u10853)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10852), _u10854), c_Big__Operators_Olattice_OSup__fin(_u10852, c_Orderings_Oord__class_Omax(_u10852), _u10853)) = _u10854) )).
% 27.71/27.95 cnf(matrix-5392, plain, ( ~class_Orderings_Olinorder(_u10855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10855), _u10856)) | ~hBOOL(hAPP(hAPP(c_member(_u10855), _u10857), _u10856)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10855), _u10857), c_Big__Operators_Olattice_OInf__fin(_u10855, c_Orderings_Oord__class_Omin(_u10855), _u10856)) = _u10857) )).
% 27.71/27.95 cnf(matrix-5393, plain, ( ~class_Orderings_Olinorder(_u10858) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10858), _u10859)) | ( _u10859 = c_Orderings_Obot__class_Obot(tc_fun(_u10858, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10858), _u10860)) | ( _u10860 = c_Orderings_Obot__class_Obot(tc_fun(_u10858, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10858, c_Orderings_Oord__class_Omin(_u10858), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10858, tc_HOL_Obool)), _u10859), _u10860)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10858), c_Big__Operators_Olattice_OInf__fin(_u10858, c_Orderings_Oord__class_Omin(_u10858), _u10859)), c_Big__Operators_Olattice_OInf__fin(_u10858, c_Orderings_Oord__class_Omin(_u10858), _u10860))) )).
% 27.71/27.95 cnf(matrix-5394, plain, ( ~class_Orderings_Olinorder(_u10861) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10861), _u10862)) | ( _u10862 = c_Orderings_Obot__class_Obot(tc_fun(_u10861, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10861), _u10863)) | ( _u10863 = c_Orderings_Obot__class_Obot(tc_fun(_u10861, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10861, c_Orderings_Oord__class_Omax(_u10861), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10861, tc_HOL_Obool)), _u10862), _u10863)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10861), c_Big__Operators_Olattice_OSup__fin(_u10861, c_Orderings_Oord__class_Omax(_u10861), _u10862)), c_Big__Operators_Olattice_OSup__fin(_u10861, c_Orderings_Oord__class_Omax(_u10861), _u10863))) )).
% 27.71/27.95 cnf(matrix-5395, plain, ( ~class_Orderings_Olinorder(_u10864) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10864), _u10865)) | hBOOL(hAPP(hAPP(c_member(_u10864), _u10866), _u10865)) | ( _u10865 = c_Orderings_Obot__class_Obot(tc_fun(_u10864, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10864, c_Orderings_Oord__class_Omin(_u10864), hAPP(hAPP(c_Set_Oinsert(_u10864), _u10866), _u10865)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10864), _u10866), c_Big__Operators_Olattice_OInf__fin(_u10864, c_Orderings_Oord__class_Omin(_u10864), _u10865))) )).
% 27.71/27.95 cnf(matrix-5396, plain, ( ~class_Orderings_Olinorder(_u10867) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10867), _u10868)) | hBOOL(hAPP(hAPP(c_member(_u10867), _u10869), _u10868)) | ( _u10868 = c_Orderings_Obot__class_Obot(tc_fun(_u10867, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10867, c_Orderings_Oord__class_Omax(_u10867), hAPP(hAPP(c_Set_Oinsert(_u10867), _u10869), _u10868)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10867), _u10869), c_Big__Operators_Olattice_OSup__fin(_u10867, c_Orderings_Oord__class_Omax(_u10867), _u10868))) )).
% 27.71/27.95 cnf(matrix-5397, plain, ( ~class_Orderings_Olinorder(_u10870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10870), _u10871)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10870, tc_HOL_Obool)), _u10871), hAPP(hAPP(c_Set_Oinsert(_u10870), _u10872), c_Orderings_Obot__class_Obot(tc_fun(_u10870, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10870, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10870, c_Orderings_Oord__class_Omin(_u10870), hAPP(hAPP(c_Set_Oinsert(_u10870), _u10872), _u10871)) = _u10872) )).
% 27.71/27.95 cnf(matrix-5398, plain, ( ~class_Orderings_Olinorder(_u10870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10870), _u10871)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10870, tc_HOL_Obool)), _u10871), hAPP(hAPP(c_Set_Oinsert(_u10870), _u10872), c_Orderings_Obot__class_Obot(tc_fun(_u10870, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10870, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10870, c_Orderings_Oord__class_Omin(_u10870), hAPP(hAPP(c_Set_Oinsert(_u10870), _u10872), _u10871)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10870), _u10872), c_Big__Operators_Olattice_OInf__fin(_u10870, c_Orderings_Oord__class_Omin(_u10870), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10870, tc_HOL_Obool)), _u10871), hAPP(hAPP(c_Set_Oinsert(_u10870), _u10872), c_Orderings_Obot__class_Obot(tc_fun(_u10870, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5399, plain, ( ~class_Orderings_Olinorder(_u10873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10873), _u10874)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10873, tc_HOL_Obool)), _u10874), hAPP(hAPP(c_Set_Oinsert(_u10873), _u10875), c_Orderings_Obot__class_Obot(tc_fun(_u10873, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10873, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10873, c_Orderings_Oord__class_Omax(_u10873), hAPP(hAPP(c_Set_Oinsert(_u10873), _u10875), _u10874)) = _u10875) )).
% 27.71/27.95 cnf(matrix-5400, plain, ( ~class_Orderings_Olinorder(_u10873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10873), _u10874)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10873, tc_HOL_Obool)), _u10874), hAPP(hAPP(c_Set_Oinsert(_u10873), _u10875), c_Orderings_Obot__class_Obot(tc_fun(_u10873, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10873, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10873, c_Orderings_Oord__class_Omax(_u10873), hAPP(hAPP(c_Set_Oinsert(_u10873), _u10875), _u10874)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10873), _u10875), c_Big__Operators_Olattice_OSup__fin(_u10873, c_Orderings_Oord__class_Omax(_u10873), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10873, tc_HOL_Obool)), _u10874), hAPP(hAPP(c_Set_Oinsert(_u10873), _u10875), c_Orderings_Obot__class_Obot(tc_fun(_u10873, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5401, plain, ( ~class_Orderings_Olinorder(_u10878) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10878), _u10879)) | ( _u10879 = c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10878), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10878), skolem213(_u10879, _u10878)), skolem214(_u10879, _u10878))), hAPP(hAPP(c_Set_Oinsert(_u10878), skolem213(_u10879, _u10878)), hAPP(hAPP(c_Set_Oinsert(_u10878), skolem214(_u10879, _u10878)), c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10878), c_Big__Operators_Olattice_OSup__fin(_u10878, c_Orderings_Oord__class_Omax(_u10878), _u10879)), _u10879)) )).
% 27.71/27.95 cnf(matrix-5402, plain, ( ~class_Orderings_Olinorder(_u10882) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10882), _u10883)) | ( _u10883 = c_Orderings_Obot__class_Obot(tc_fun(_u10882, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10882), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10882), skolem215(_u10883, _u10882)), skolem216(_u10883, _u10882))), hAPP(hAPP(c_Set_Oinsert(_u10882), skolem215(_u10883, _u10882)), hAPP(hAPP(c_Set_Oinsert(_u10882), skolem216(_u10883, _u10882)), c_Orderings_Obot__class_Obot(tc_fun(_u10882, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10882), c_Big__Operators_Olattice_OInf__fin(_u10882, c_Orderings_Oord__class_Omin(_u10882), _u10883)), _u10883)) )).
% 27.71/27.95 cnf(matrix-5403, plain, ( ~c_Finite__Set_Ofolding__one(_u10886, _u10887, _u10888) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10886), _u10889)) | ( _u10889 = c_Orderings_Obot__class_Obot(tc_fun(_u10886, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10886), hAPP(hAPP(_u10887, skolem217(_u10889, _u10888, _u10887, _u10886)), skolem218(_u10889, _u10888, _u10887, _u10886))), hAPP(hAPP(c_Set_Oinsert(_u10886), skolem217(_u10889, _u10888, _u10887, _u10886)), hAPP(hAPP(c_Set_Oinsert(_u10886), skolem218(_u10889, _u10888, _u10887, _u10886)), c_Orderings_Obot__class_Obot(tc_fun(_u10886, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10886), hAPP(_u10888, _u10889)), _u10889)) )).
% 27.71/27.95 cnf(matrix-5404, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10896), _u10898), _u10900)) | ( hAPP(c_Set_Oimage(_u10896, _u10902, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10896, _u10902), _u10904), _u10898), _u10906)), _u10900) = hAPP(hAPP(c_Set_Oinsert(_u10902), _u10906), hAPP(c_Set_Oimage(_u10896, _u10902, _u10904), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10896, tc_HOL_Obool)), _u10900), hAPP(hAPP(c_Set_Oinsert(_u10896), _u10898), c_Orderings_Obot__class_Obot(tc_fun(_u10896, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5405, plain, ( hBOOL(hAPP(hAPP(c_member(_u10897), _u10899), _u10901)) | ( hAPP(c_Set_Oimage(_u10897, _u10903, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10897, _u10903), _u10905), _u10899), _u10907)), _u10901) = hAPP(c_Set_Oimage(_u10897, _u10903, _u10905), _u10901)) )).
% 27.71/27.95 cnf(matrix-5406, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10908) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10909), _u10910)) | ~hBOOL(hAPP(hAPP(c_member(_u10909), _u10911), _u10910)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10909, _u10908), hAPP(hAPP(c_COMBC(_u10909, _u10908, _u10908), hAPP(hAPP(c_COMBS(_u10909, _u10908, tc_fun(_u10908, _u10908)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10908, tc_fun(_u10908, _u10908)), _u10909), c_If(_u10908)), hAPP(hAPP(c_COMBC(_u10909, _u10909, tc_HOL_Obool), c_fequal), _u10911))), _u10912)), _u10913)), _u10910) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10908), hAPP(_u10912, _u10911)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10908), _u10913), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10909), _u10910)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 27.71/27.95 cnf(matrix-5407, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10908) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10909), _u10910)) | hBOOL(hAPP(hAPP(c_member(_u10909), _u10911), _u10910)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10909, _u10908), hAPP(hAPP(c_COMBC(_u10909, _u10908, _u10908), hAPP(hAPP(c_COMBS(_u10909, _u10908, tc_fun(_u10908, _u10908)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10908, tc_fun(_u10908, _u10908)), _u10909), c_If(_u10908)), hAPP(hAPP(c_COMBC(_u10909, _u10909, tc_HOL_Obool), c_fequal), _u10911))), _u10912)), _u10913)), _u10910) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10908), _u10913), hAPP(c_Finite__Set_Ocard(_u10909), _u10910))) )).
% 27.71/27.95 cnf(matrix-5408, plain, ( ~class_Groups_Oordered__ab__group__add(_u10915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10916), _u10917)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10916, _u10915), _u10918), _u10917) != _u10919) | ~hBOOL(hAPP(hAPP(c_member(_u10916), _u10920), _u10917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10915), hAPP(_u10918, _u10920)), _u10919)) | hBOOL(hAPP(hAPP(c_member(_u10916), skolem219(_u10920, _u10919, _u10918, _u10917, _u10916, _u10915)), _u10917)) )).
% 27.71/27.95 cnf(matrix-5409, plain, ( ~class_Groups_Oordered__ab__group__add(_u10915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10916), _u10917)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10916, _u10915), _u10918), _u10917) != _u10919) | ~hBOOL(hAPP(hAPP(c_member(_u10916), _u10920), _u10917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10915), hAPP(_u10918, _u10920)), _u10919)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10915), c_Groups_Ozero__class_Ozero(_u10915)), hAPP(_u10918, skolem219(_u10920, _u10919, _u10918, _u10917, _u10916, _u10915)))) )).
% 27.71/27.95 cnf(matrix-5410, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10921, _u10922), _u10923), _u10924), hAPP(_u10923, _u10924)) = _u10923) )).
% 27.71/27.95 cnf(matrix-5411, plain, ( ~class_Groups_Ocomm__monoid__add(_u10925) | ~class_Groups_Ocomm__monoid__mult(_u10925) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10925), _u10926), _u10927) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10925), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10925, tc_Int_Oint), _u10926), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10927))) )).
% 27.71/27.95 cnf(matrix-5412, plain, ( ~class_Fields_Olinordered__field(_u10928) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10928), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10929, _u10928), _u10930), _u10931)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10929, _u10928), hAPP(hAPP(c_COMBB(_u10928, _u10928, _u10929), c_Groups_Oabs__class_Oabs(_u10928)), _u10930)), _u10931)) )).
% 27.71/27.95 cnf(matrix-5413, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10932) | ~class_Rings_Oring__1(_u10932) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10932), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10933, tc_Int_Oint), _u10934), _u10935)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10933, _u10932), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10932, _u10933), c_Int_Oring__1__class_Oof__int(_u10932)), _u10934)), _u10935)) )).
% 27.71/27.95 cnf(matrix-5414, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10936, tc_Nat_Onat), _u10937), _u10938) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10936, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10936), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10937)), _u10938))) )).
% 27.71/27.95 cnf(matrix-5415, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10939, tc_Nat_Onat), _u10940), _u10941)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10939, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10939), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10940)), _u10941)) )).
% 27.71/27.95 cnf(matrix-5416, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10942) | ~class_Rings_Osemiring__1(_u10942) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10942), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10943, tc_Nat_Onat), _u10944), _u10945)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10943, _u10942), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10942, _u10943), c_Nat_Osemiring__1__class_Oof__nat(_u10942)), _u10944)), _u10945)) )).
% 27.71/27.95 cnf(matrix-5417, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10946) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10947, _u10946), hAPP(c_COMBK(_u10946, _u10947), c_Groups_Oone__class_Oone(_u10946))), _u10948) = c_Groups_Oone__class_Oone(_u10946)) )).
% 27.71/27.95 cnf(matrix-5418, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10949) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10950, _u10949), hAPP(hAPP(c_COMBS(_u10950, _u10949, _u10949), hAPP(hAPP(c_COMBB(_u10949, tc_fun(_u10949, _u10949), _u10950), c_Groups_Otimes__class_Otimes(_u10949)), _u10951)), _u10952)), _u10953) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10949), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10950, _u10949), _u10951), _u10953)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10950, _u10949), _u10952), _u10953))) )).
% 27.71/27.95 cnf(matrix-5419, plain, ( ( hAPP(_u10963, _u10965) = _u10967) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10959, _u10961), _u10963), _u10965), _u10967) != _u10963) )).
% 27.71/27.95 cnf(matrix-5420, plain, ( ( hAPP(_u10964, _u10966) != _u10968) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10960, _u10962), _u10964), _u10966), _u10968) = _u10964) )).
% 27.71/27.95 cnf(matrix-5421, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10969, _u10970), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10969, _u10970), _u10971), _u10972), _u10973)), _u10972), _u10974) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10969, _u10970), _u10971), _u10972), _u10974)) )).
% 27.71/27.95 cnf(matrix-5422, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10975, _u10976), _u10977), _u10978), _u10979), _u10978) = _u10979) )).
% 27.71/27.95 cnf(matrix-5423, plain, ( ( _u10986 != _u10988) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10990, _u10992), _u10994), _u10988), _u10996), _u10986) = _u10996) )).
% 27.71/27.95 cnf(matrix-5424, plain, ( ( _u10987 = _u10989) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u10991, _u10993), _u10995), _u10989), _u10997), _u10987) = hAPP(_u10995, _u10987)) )).
% 27.71/27.95 cnf(matrix-5425, plain, ( ( _u10998 = _u10999) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11000, _u11001), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11000, _u11001), _u11002), _u10998), _u11003)), _u10999), _u11004) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11000, _u11001), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11000, _u11001), _u11002), _u10999), _u11004)), _u10998), _u11003)) )).
% 27.71/27.95 cnf(matrix-5426, plain, ( ( _u11005 = _u11006) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11007, _u11008), _u11009), _u11006), _u11010), _u11005) = hAPP(_u11009, _u11005)) )).
% 27.71/27.95 cnf(matrix-5427, plain, ( ( hAPP(_u11011, _u11012) != _u11013) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11014, _u11015), _u11011), _u11012), _u11013) = _u11011) )).
% 27.71/27.95 cnf(matrix-5428, plain, ( ( _u11022 != _u11024) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11026, _u11028), _u11030), _u11024), _u11032), _u11022) = _u11032) )).
% 27.71/27.95 cnf(matrix-5429, plain, ( ( _u11023 = _u11025) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11027, _u11029), _u11031), _u11025), _u11033), _u11023) = hAPP(_u11031, _u11023)) )).
% 27.71/27.95 cnf(matrix-5430, plain, ( ~class_Rings_Ocomm__semiring__1(_u11035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11036), _u11037)) | ~hBOOL(hAPP(hAPP(c_member(_u11036), _u11034), _u11037)) | ( hAPP(_u11038, _u11034) != c_Groups_Ozero__class_Ozero(_u11035)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11036, _u11035), _u11038), _u11037) = c_Groups_Ozero__class_Ozero(_u11035)) )).
% 27.71/27.95 cnf(matrix-5431, plain, ( ~class_Rings_Ocomm__semiring__1(_u11041) | ~class_Rings_Ono__zero__divisors(_u11041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11042), _u11043)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11042, _u11041), _u11044), _u11043) != c_Groups_Ozero__class_Ozero(_u11041)) | hBOOL(hAPP(hAPP(c_member(_u11042), skolem220(_u11044, _u11043, _u11042, _u11041)), _u11043)) )).
% 27.71/27.95 cnf(matrix-5432, plain, ( ~class_Rings_Ocomm__semiring__1(_u11041) | ~class_Rings_Ono__zero__divisors(_u11041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11042), _u11043)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11042, _u11041), _u11044), _u11043) != c_Groups_Ozero__class_Ozero(_u11041)) | ( hAPP(_u11044, skolem220(_u11044, _u11043, _u11042, _u11041)) = c_Groups_Ozero__class_Ozero(_u11041)) )).
% 27.71/27.95 cnf(matrix-5433, plain, ( ~class_Rings_Ocomm__semiring__1(_u11041) | ~class_Rings_Ono__zero__divisors(_u11041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11042), _u11043)) | ~hBOOL(hAPP(hAPP(c_member(_u11042), _u11040), _u11043)) | ( hAPP(_u11044, _u11040) != c_Groups_Ozero__class_Ozero(_u11041)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11042, _u11041), _u11044), _u11043) = c_Groups_Ozero__class_Ozero(_u11041)) )).
% 27.71/27.95 cnf(matrix-5434, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11045) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11046, _u11045), _u11047), c_Orderings_Obot__class_Obot(tc_fun(_u11046, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u11045)) )).
% 27.71/27.95 cnf(matrix-5435, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11048) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11049, _u11048), _u11050), c_Orderings_Obot__class_Obot(tc_fun(_u11049, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u11048)) )).
% 27.71/27.95 cnf(matrix-5436, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11051) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11052), _u11053)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11052, _u11051), _u11054), _u11053) = c_Groups_Oone__class_Oone(_u11051)) )).
% 27.71/27.95 cnf(matrix-5437, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11055) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11056), _u11057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11056, _u11055), _u11058), _u11057) = c_Groups_Oone__class_Oone(_u11055)) )).
% 27.71/27.95 cnf(matrix-5438, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11061), _u11062)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11061, tc_Nat_Onat), _u11063), _u11062) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11061), _u11059), _u11062)) | ( hAPP(_u11063, _u11059) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.71/27.95 cnf(matrix-5439, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11061), _u11062)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11061, tc_Nat_Onat), _u11063), _u11062) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11061), skolem221(_u11063, _u11062, _u11061)), _u11062)) )).
% 27.71/27.95 cnf(matrix-5440, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11061), _u11062)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11061, tc_Nat_Onat), _u11063), _u11062) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u11063, skolem221(_u11063, _u11062, _u11061)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 27.71/27.95 cnf(matrix-5441, plain, ( ~class_Groups_Ocomm__monoid__add(_u11064) | ~class_Groups_Ocomm__monoid__mult(_u11064) | ~c_Nat__Transfer_Onat__set(_u11065) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11064), _u11066), _u11065) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u11064), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11064, tc_Nat_Onat), _u11066), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11065))) )).
% 27.71/27.95 cnf(matrix-5442, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11068), _u11069)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11068, _u11067), hAPP(hAPP(c_COMBS(_u11068, _u11067, _u11067), hAPP(hAPP(c_COMBB(_u11067, tc_fun(_u11067, _u11067), _u11068), c_Groups_Otimes__class_Otimes(_u11067)), _u11070)), _u11071)), _u11069) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11067), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11068, _u11067), _u11070), _u11069)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11068, _u11067), _u11071), _u11069))) )).
% 27.71/27.95 cnf(matrix-5443, plain, ( ~class_Fields_Ofield__inverse__zero(_u11072) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11073), _u11074)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11073, _u11072), hAPP(hAPP(c_COMBS(_u11073, _u11072, _u11072), hAPP(hAPP(c_COMBB(_u11072, tc_fun(_u11072, _u11072), _u11073), c_Rings_Oinverse__class_Odivide(_u11072)), _u11075)), _u11076)), _u11074) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11072), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11073, _u11072), _u11075), _u11074)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11073, _u11072), _u11076), _u11074))) )).
% 27.71/27.95 cnf(matrix-5444, plain, ( ~class_Rings_Ocomm__semiring__1(_u11077) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11078), _u11079)) | ~hBOOL(hAPP(hAPP(c_member(_u11078), _u11080), _u11079)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u11077), hAPP(_u11081, _u11080)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11078, _u11077), _u11081), _u11079))) )).
% 27.71/27.95 cnf(matrix-5445, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11084), _u11085)) | ~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(_u11084, tc_Nat_Onat), _u11086), _u11085))) | ~hBOOL(hAPP(hAPP(c_member(_u11084), _u11082), _u11085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u11086, _u11082))) )).
% 27.71/27.95 cnf(matrix-5446, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11084), _u11085)) | 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(_u11084, tc_Nat_Onat), _u11086), _u11085))) | hBOOL(hAPP(hAPP(c_member(_u11084), skolem222(_u11086, _u11085, _u11084)), _u11085)) )).
% 27.71/27.95 cnf(matrix-5447, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11084), _u11085)) | 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(_u11084, tc_Nat_Onat), _u11086), _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u11086, skolem222(_u11086, _u11085, _u11084)))) )).
% 27.71/27.95 cnf(matrix-5448, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11087) | ~class_Rings_Odvd(_u11087) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11088), _u11089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11088, tc_HOL_Obool)), _u11090), _u11089)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u11087), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11088, _u11087), _u11091), _u11090)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11088, _u11087), _u11091), _u11089))) )).
% 27.71/27.95 cnf(matrix-5449, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11092) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11093), _u11094)) | ~hBOOL(hAPP(hAPP(c_member(_u11093), _u11095), _u11094)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11093, _u11092), hAPP(hAPP(c_COMBC(_u11093, _u11092, _u11092), hAPP(hAPP(c_COMBS(_u11093, _u11092, tc_fun(_u11092, _u11092)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11092, tc_fun(_u11092, _u11092)), _u11093), c_If(_u11092)), hAPP(c_fequal, _u11095))), _u11096)), c_Groups_Oone__class_Oone(_u11092))), _u11094) = hAPP(_u11096, _u11095)) )).
% 27.71/27.95 cnf(matrix-5450, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11092) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11093), _u11094)) | hBOOL(hAPP(hAPP(c_member(_u11093), _u11095), _u11094)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11093, _u11092), hAPP(hAPP(c_COMBC(_u11093, _u11092, _u11092), hAPP(hAPP(c_COMBS(_u11093, _u11092, tc_fun(_u11092, _u11092)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11092, tc_fun(_u11092, _u11092)), _u11093), c_If(_u11092)), hAPP(c_fequal, _u11095))), _u11096)), c_Groups_Oone__class_Oone(_u11092))), _u11094) = c_Groups_Oone__class_Oone(_u11092)) )).
% 27.71/27.95 cnf(matrix-5451, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11097) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11098), _u11099)) | ~hBOOL(hAPP(hAPP(c_member(_u11098), _u11100), _u11099)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11098, _u11097), hAPP(hAPP(c_COMBC(_u11098, _u11097, _u11097), hAPP(hAPP(c_COMBS(_u11098, _u11097, tc_fun(_u11097, _u11097)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11097, tc_fun(_u11097, _u11097)), _u11098), c_If(_u11097)), hAPP(hAPP(c_COMBC(_u11098, _u11098, tc_HOL_Obool), c_fequal), _u11100))), _u11101)), c_Groups_Oone__class_Oone(_u11097))), _u11099) = hAPP(_u11101, _u11100)) )).
% 27.71/27.95 cnf(matrix-5452, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11097) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11098), _u11099)) | hBOOL(hAPP(hAPP(c_member(_u11098), _u11100), _u11099)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11098, _u11097), hAPP(hAPP(c_COMBC(_u11098, _u11097, _u11097), hAPP(hAPP(c_COMBS(_u11098, _u11097, tc_fun(_u11097, _u11097)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11097, tc_fun(_u11097, _u11097)), _u11098), c_If(_u11097)), hAPP(hAPP(c_COMBC(_u11098, _u11098, tc_HOL_Obool), c_fequal), _u11100))), _u11101)), c_Groups_Oone__class_Oone(_u11097))), _u11099) = c_Groups_Oone__class_Oone(_u11097)) )).
% 27.71/27.95 cnf(matrix-5453, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11103), _u11104)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11103, _u11102), hAPP(c_COMBK(_u11102, _u11103), _u11105)), _u11104) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11102), _u11105), hAPP(c_Finite__Set_Ocard(_u11103), _u11104))) )).
% 27.71/27.95 cnf(matrix-5454, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11106) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11107), _u11108)) | hBOOL(hAPP(hAPP(c_member(_u11107), _u11109), _u11108)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11107, _u11106), _u11110), hAPP(hAPP(c_Set_Oinsert(_u11107), _u11109), _u11108)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11106), hAPP(_u11110, _u11109)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11107, _u11106), _u11110), _u11108))) )).
% 27.71/27.95 cnf(matrix-5455, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11111) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11112), _u11113)) | hBOOL(hAPP(hAPP(c_member(_u11112), _u11114), _u11113)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11112, _u11111), _u11115), hAPP(hAPP(c_Set_Oinsert(_u11112), _u11114), _u11113)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11111), hAPP(_u11115, _u11114)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11112, _u11111), _u11115), _u11113))) )).
% 27.71/27.95 cnf(matrix-5456, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11116) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11117), _u11118)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11117, _u11116), _u11119), hAPP(hAPP(c_Set_Oinsert(_u11117), _u11120), _u11118)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11116), hAPP(_u11119, _u11120)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11117, _u11116), _u11119), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11117, tc_HOL_Obool)), _u11118), hAPP(hAPP(c_Set_Oinsert(_u11117), _u11120), c_Orderings_Obot__class_Obot(tc_fun(_u11117, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5457, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11121) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11122), _u11123)) | ~hBOOL(hAPP(hAPP(c_member(_u11122), _u11124), _u11123)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11122, _u11121), _u11125), _u11123) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11121), hAPP(_u11125, _u11124)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11122, _u11121), _u11125), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11122, tc_HOL_Obool)), _u11123), hAPP(hAPP(c_Set_Oinsert(_u11122), _u11124), c_Orderings_Obot__class_Obot(tc_fun(_u11122, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5458, plain, ( ~class_Fields_Ofield(_u11126) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11127), _u11128)) | ( hAPP(_u11129, _u11130) = c_Groups_Ozero__class_Ozero(_u11126)) | ~hBOOL(hAPP(hAPP(c_member(_u11127), _u11130), _u11128)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11127, _u11126), _u11129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11127, tc_HOL_Obool)), _u11128), hAPP(hAPP(c_Set_Oinsert(_u11127), _u11130), c_Orderings_Obot__class_Obot(tc_fun(_u11127, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11126), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11127, _u11126), _u11129), _u11128)), hAPP(_u11129, _u11130))) )).
% 27.71/27.95 cnf(matrix-5459, plain, ( ~class_Fields_Ofield(_u11126) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11127), _u11128)) | ( hAPP(_u11129, _u11130) = c_Groups_Ozero__class_Ozero(_u11126)) | hBOOL(hAPP(hAPP(c_member(_u11127), _u11130), _u11128)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11127, _u11126), _u11129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11127, tc_HOL_Obool)), _u11128), hAPP(hAPP(c_Set_Oinsert(_u11127), _u11130), c_Orderings_Obot__class_Obot(tc_fun(_u11127, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11127, _u11126), _u11129), _u11128)) )).
% 27.71/27.95 cnf(matrix-5460, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u11131)), hAPP(c_Set_Oimage(_u11132, tc_Option_Ooption(_u11131), _u11133), c_Orderings_Otop__class_Otop(tc_fun(_u11132, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u11131)), hAPP(c_Set_Oimage(_u11132, tc_Option_Ooption(_u11131), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11132, tc_Option_Ooption(_u11131)), _u11133), _u11134), hAPP(c_Option_Ooption_OSome(_u11131), _u11135))), c_Orderings_Otop__class_Otop(tc_fun(_u11132, tc_HOL_Obool))))) )).
% 27.71/27.95 cnf(matrix-5461, plain, ( hBOOL(hAPP(hAPP(c_member(_u11136), _u11137), _u11138)) | ( hAPP(c_Set_Oimage(_u11136, tc_Option_Ooption(_u11139), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11136, tc_Option_Ooption(_u11139)), _u11140), _u11137), hAPP(c_Option_Ooption_OSome(_u11139), _u11141))), _u11138) = hAPP(c_Set_Oimage(_u11136, tc_Option_Ooption(_u11139), _u11140), _u11138)) )).
% 27.71/27.95 cnf(matrix-5462, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11142, tc_Option_Ooption(_u11143)), _u11144), _u11145), hAPP(c_Option_Ooption_OSome(_u11143), _u11146)) != hAPP(c_COMBK(tc_Option_Ooption(_u11143), _u11142), c_Option_Ooption_ONone(_u11143))) )).
% 27.71/27.95 cnf(matrix-5463, plain, ( ( _u11151 = _u11153) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11147, tc_Option_Ooption(_u11148)), _u11149), _u11150), hAPP(c_Option_Ooption_OSome(_u11148), _u11151)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11147, tc_Option_Ooption(_u11148)), _u11152), _u11150), hAPP(c_Option_Ooption_OSome(_u11148), _u11153))) )).
% 27.71/27.95 cnf(matrix-5464, plain, ( ( hAPP(_u11154, _u11155) != hAPP(c_Option_Ooption_OSome(_u11156), _u11157)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11158, tc_Option_Ooption(_u11156)), _u11154), _u11155), hAPP(c_Option_Ooption_OSome(_u11156), _u11157)) = _u11154) )).
% 27.71/27.95 cnf(matrix-5465, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11166, tc_Option_Ooption(_u11168)), _u11170), _u11172), hAPP(c_Option_Ooption_OSome(_u11168), _u11174)), _u11176) != hAPP(c_Option_Ooption_OSome(_u11168), _u11178)) | ( _u11176 = _u11172) | ( hAPP(_u11170, _u11176) = hAPP(c_Option_Ooption_OSome(_u11168), _u11178)) )).
% 27.71/27.95 cnf(matrix-5466, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11166, tc_Option_Ooption(_u11168)), _u11170), _u11172), hAPP(c_Option_Ooption_OSome(_u11168), _u11174)), _u11176) != hAPP(c_Option_Ooption_OSome(_u11168), _u11178)) | ( _u11174 = _u11178) | ( _u11176 != _u11172) )).
% 27.71/27.95 cnf(matrix-5467, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11166, tc_Option_Ooption(_u11168)), _u11170), _u11172), hAPP(c_Option_Ooption_OSome(_u11168), _u11174)), _u11176) != hAPP(c_Option_Ooption_OSome(_u11168), _u11178)) | ( _u11174 = _u11178) | ( hAPP(_u11170, _u11176) = hAPP(c_Option_Ooption_OSome(_u11168), _u11178)) )).
% 27.71/27.95 cnf(matrix-5468, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11167, tc_Option_Ooption(_u11169)), _u11171), _u11173), hAPP(c_Option_Ooption_OSome(_u11169), _u11175)), _u11177) = hAPP(c_Option_Ooption_OSome(_u11169), _u11179)) | ( _u11177 != _u11173) | ( _u11175 != _u11179) )).
% 27.71/27.95 cnf(matrix-5469, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11167, tc_Option_Ooption(_u11169)), _u11171), _u11173), hAPP(c_Option_Ooption_OSome(_u11169), _u11175)), _u11177) = hAPP(c_Option_Ooption_OSome(_u11169), _u11179)) | ( _u11177 = _u11173) | ( hAPP(_u11171, _u11177) != hAPP(c_Option_Ooption_OSome(_u11169), _u11179)) )).
% 27.71/27.95 cnf(matrix-5470, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11180, tc_Option_Ooption(_u11181)), hAPP(c_COMBK(tc_Option_Ooption(_u11181), _u11180), c_Option_Ooption_ONone(_u11181))), _u11182), c_Option_Ooption_ONone(_u11181)), _u11183) = c_Option_Ooption_ONone(_u11181)) )).
% 27.71/27.95 cnf(matrix-5471, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11185, tc_Int_Oint), _u11187), _u11186) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11185, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11185), c_Int_Onat), _u11187)), _u11186))) | hBOOL(hAPP(hAPP(c_member(_u11185), skolem223(_u11187, _u11186, _u11185)), _u11186)) )).
% 27.71/27.95 cnf(matrix-5472, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11185, tc_Int_Oint), _u11187), _u11186) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11185, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11185), c_Int_Onat), _u11187)), _u11186))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11187, skolem223(_u11187, _u11186, _u11185))) )).
% 27.71/27.95 cnf(matrix-5473, plain, ( ( hAPP(_u11188, _u11189) != c_Option_Ooption_ONone(_u11190)) | ( c_Map_Oran(_u11191, _u11190, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11191, tc_Option_Ooption(_u11190)), _u11188), _u11189), hAPP(c_Option_Ooption_OSome(_u11190), _u11192))) = hAPP(hAPP(c_Set_Oinsert(_u11190), _u11192), c_Map_Oran(_u11191, _u11190, _u11188))) )).
% 27.71/27.95 cnf(matrix-5474, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11198), _u11200), _u11202)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11198, tc_Option_Ooption(_u11204)), c_Map_Orestrict__map(_u11198, _u11204, _u11206, _u11202)), _u11200), c_Option_Ooption_ONone(_u11204)) = c_Map_Orestrict__map(_u11198, _u11204, _u11206, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11198, tc_HOL_Obool)), _u11202), hAPP(hAPP(c_Set_Oinsert(_u11198), _u11200), c_Orderings_Obot__class_Obot(tc_fun(_u11198, tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-5475, plain, ( hBOOL(hAPP(hAPP(c_member(_u11199), _u11201), _u11203)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11199, tc_Option_Ooption(_u11205)), c_Map_Orestrict__map(_u11199, _u11205, _u11207, _u11203)), _u11201), c_Option_Ooption_ONone(_u11205)) = c_Map_Orestrict__map(_u11199, _u11205, _u11207, _u11203)) )).
% 27.71/27.95 cnf(matrix-5476, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11208), _u11209), _u11210)) | ( hAPP(c_Map_Orestrict__map(_u11208, _u11211, _u11212, _u11210), _u11209) = hAPP(_u11212, _u11209)) )).
% 27.71/27.95 cnf(matrix-5477, plain, ( ( hAPP(c_Map_Orestrict__map(_u11213, _u11214, hAPP(c_COMBK(tc_Option_Ooption(_u11214), _u11213), c_Option_Ooption_ONone(_u11214)), _u11215), _u11216) = c_Option_Ooption_ONone(_u11214)) )).
% 27.71/27.95 cnf(matrix-5478, plain, ( hBOOL(hAPP(hAPP(c_member(_u11217), _u11218), _u11219)) | ( hAPP(c_Map_Orestrict__map(_u11217, _u11220, _u11221, _u11219), _u11218) = c_Option_Ooption_ONone(_u11220)) )).
% 27.71/27.95 cnf(matrix-5479, plain, ( ( c_Map_Orestrict__map(_u11222, _u11223, _u11224, hAPP(hAPP(c_Set_Oinsert(_u11222), _u11225), _u11226)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11222, tc_Option_Ooption(_u11223)), c_Map_Orestrict__map(_u11222, _u11223, _u11224, _u11226)), _u11225), hAPP(_u11224, _u11225))) )).
% 27.71/27.95 cnf(matrix-5480, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11232), _u11234), _u11236)) | ( hAPP(c_Map_Orestrict__map(_u11232, _u11238, _u11240, _u11236), _u11234) = hAPP(_u11240, _u11234)) )).
% 27.71/27.95 cnf(matrix-5481, plain, ( hBOOL(hAPP(hAPP(c_member(_u11233), _u11235), _u11237)) | ( hAPP(c_Map_Orestrict__map(_u11233, _u11239, _u11241, _u11237), _u11235) = c_Option_Ooption_ONone(_u11239)) )).
% 27.71/27.95 cnf(matrix-5482, plain, ( ( hAPP(c_Map_Orestrict__map(_u11242, _u11243, _u11244, c_Orderings_Obot__class_Obot(tc_fun(_u11242, tc_HOL_Obool))), _u11245) = c_Option_Ooption_ONone(_u11243)) )).
% 27.71/27.95 cnf(matrix-5483, plain, ( ( hAPP(_u11246, _u11247) != hAPP(c_Option_Ooption_OSome(_u11248), _u11249)) | hBOOL(hAPP(hAPP(c_member(_u11248), _u11249), c_Map_Oran(_u11250, _u11248, _u11246))) )).
% 27.71/27.95 cnf(matrix-5484, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11251, tc_Option_Ooption(_u11252)), c_Map_Orestrict__map(_u11251, _u11252, _u11253, _u11254)), _u11255), _u11256) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11251, tc_Option_Ooption(_u11252)), c_Map_Orestrict__map(_u11251, _u11252, _u11253, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11251, tc_HOL_Obool)), _u11254), hAPP(hAPP(c_Set_Oinsert(_u11251), _u11255), c_Orderings_Obot__class_Obot(tc_fun(_u11251, tc_HOL_Obool)))))), _u11255), _u11256)) )).
% 27.71/27.95 cnf(matrix-5485, plain, ( ( c_Map_Oran(_u11257, _u11258, hAPP(c_COMBK(tc_Option_Ooption(_u11258), _u11257), c_Option_Ooption_ONone(_u11258))) = c_Orderings_Obot__class_Obot(tc_fun(_u11258, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5486, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11265), _u11267), _u11269)) | ( c_Map_Orestrict__map(_u11265, _u11271, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11265, tc_Option_Ooption(_u11271)), _u11273), _u11267), _u11275), _u11269) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11265, tc_Option_Ooption(_u11271)), c_Map_Orestrict__map(_u11265, _u11271, _u11273, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11265, tc_HOL_Obool)), _u11269), hAPP(hAPP(c_Set_Oinsert(_u11265), _u11267), c_Orderings_Obot__class_Obot(tc_fun(_u11265, tc_HOL_Obool)))))), _u11267), _u11275)) )).
% 27.71/27.95 cnf(matrix-5487, plain, ( hBOOL(hAPP(hAPP(c_member(_u11266), _u11268), _u11270)) | ( c_Map_Orestrict__map(_u11266, _u11272, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11266, tc_Option_Ooption(_u11272)), _u11274), _u11268), _u11276), _u11270) = c_Map_Orestrict__map(_u11266, _u11272, _u11274, _u11270)) )).
% 27.71/27.95 cnf(matrix-5488, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11277), _u11278), _u11279)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11277, tc_Option_Ooption(_u11280)), c_Map_Orestrict__map(_u11277, _u11280, _u11281, _u11279)), _u11278), _u11282) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11277, tc_Option_Ooption(_u11280)), c_Map_Orestrict__map(_u11277, _u11280, _u11281, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11277, tc_HOL_Obool)), _u11279), hAPP(hAPP(c_Set_Oinsert(_u11277), _u11278), c_Orderings_Obot__class_Obot(tc_fun(_u11277, tc_HOL_Obool)))))), _u11278), _u11282)) )).
% 27.71/27.95 cnf(matrix-5489, plain, ( ( c_Map_Orestrict__map(_u11283, _u11284, _u11285, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11283, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11283), _u11286), c_Orderings_Obot__class_Obot(tc_fun(_u11283, tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11283, tc_Option_Ooption(_u11284)), _u11285), _u11286), c_Option_Ooption_ONone(_u11284))) )).
% 27.71/27.95 cnf(matrix-5490, plain, ( ( c_Map_Orestrict__map(_u11287, _u11288, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11287, tc_Option_Ooption(_u11288)), _u11289), _u11290), hAPP(c_Option_Ooption_OSome(_u11288), _u11291)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11287, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11287), _u11290), c_Orderings_Obot__class_Obot(tc_fun(_u11287, tc_HOL_Obool))))) = c_Map_Orestrict__map(_u11287, _u11288, _u11289, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11287, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11287), _u11290), c_Orderings_Obot__class_Obot(tc_fun(_u11287, tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-5491, plain, ( ~class_Groups_Oordered__ab__group__add(_u11293) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11294), _u11295)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11294, _u11293), _u11296), _u11295) != c_Groups_Ozero__class_Ozero(_u11293)) | ~hBOOL(hAPP(hAPP(c_member(_u11294), _u11297), _u11295)) | ( hAPP(_u11296, _u11297) = c_Groups_Ozero__class_Ozero(_u11293)) | hBOOL(hAPP(hAPP(c_member(_u11294), skolem224(_u11297, _u11296, _u11295, _u11294, _u11293)), _u11295)) )).
% 27.71/27.95 cnf(matrix-5492, plain, ( ~class_Groups_Oordered__ab__group__add(_u11293) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11294), _u11295)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11294, _u11293), _u11296), _u11295) != c_Groups_Ozero__class_Ozero(_u11293)) | ~hBOOL(hAPP(hAPP(c_member(_u11294), _u11297), _u11295)) | ( hAPP(_u11296, _u11297) = c_Groups_Ozero__class_Ozero(_u11293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11293), c_Groups_Ozero__class_Ozero(_u11293)), hAPP(_u11296, skolem224(_u11297, _u11296, _u11295, _u11294, _u11293)))) )).
% 27.71/27.95 cnf(matrix-5493, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11298), _u11299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11300), _u11301)) | 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), _u11298), _u11300)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11299), _u11301))), c_FunDef_Opair__less)) )).
% 27.71/27.95 cnf(matrix-5494, plain, ( ~class_Orderings_Olinorder(_u11304) | ( hAPP(_u11305, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11304), skolem225(_u11306, _u11305, _u11304)), skolem226(_u11306, _u11305, _u11304))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11304), hAPP(_u11305, skolem225(_u11306, _u11305, _u11304))), hAPP(_u11305, skolem226(_u11306, _u11305, _u11304)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11304), _u11306)) | ( _u11306 = c_Orderings_Obot__class_Obot(tc_fun(_u11304, tc_HOL_Obool))) | ( hAPP(_u11305, c_Big__Operators_Olattice_OSup__fin(_u11304, c_Orderings_Oord__class_Omax(_u11304), _u11306)) = c_Big__Operators_Olattice_OSup__fin(_u11304, c_Orderings_Oord__class_Omax(_u11304), hAPP(c_Set_Oimage(_u11304, _u11304, _u11305), _u11306))) )).
% 27.71/27.95 cnf(matrix-5495, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11307), _u11308)) | 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), _u11307), _u11309)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11308), _u11310))), c_FunDef_Opair__less)) )).
% 27.71/27.95 cnf(matrix-5496, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11311), _u11312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11313), _u11314)) | 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), _u11311), _u11313)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11312), _u11314))), c_FunDef_Opair__leq)) )).
% 27.71/27.95 cnf(matrix-5497, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11315), _u11316)) | ~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)), _u11315), _u11317)), 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)), _u11316), _u11318)), 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)), _u11316), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11317), _u11318))), c_FunDef_Omin__strict)) )).
% 27.71/27.95 cnf(matrix-5498, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11319), _u11320)) | ~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)), _u11321), _u11319)), 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)), _u11322), _u11320)), 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)), _u11321), _u11322)), _u11320)), c_FunDef_Omax__strict)) )).
% 27.71/27.95 cnf(matrix-5499, plain, ( ( _u11323 = 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)), _u11323), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 27.71/27.95 cnf(matrix-5500, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11324)) | ( _u11324 = 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))), _u11324)), c_FunDef_Omax__strict)) )).
% 27.71/27.95 cnf(matrix-5501, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11325), _u11326)) | 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), _u11325), _u11327)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11326), _u11328))), c_FunDef_Opair__leq)) )).
% 27.71/27.95 cnf(matrix-5502, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11329), _u11330)) | ~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)), _u11331), _u11329)), 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)), _u11332), _u11330)), 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)), _u11331), _u11332)), _u11330)), c_FunDef_Omax__weak)) )).
% 27.71/27.95 cnf(matrix-5503, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11333), _u11334)) | ~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)), _u11333), _u11335)), 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)), _u11334), _u11336)), 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)), _u11334), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11335), _u11336))), c_FunDef_Omin__weak)) )).
% 27.71/27.95 cnf(matrix-5504, 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)), _u11337), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 27.71/27.95 cnf(matrix-5505, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11338)) | 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))), _u11338)), c_FunDef_Omax__weak)) )).
% 27.71/27.95 cnf(matrix-5506, 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))))) )).
% 27.71/27.95 cnf(matrix-5507, 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))))) )).
% 27.71/27.95 cnf(matrix-5508, 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)) )).
% 27.71/27.95 cnf(matrix-5509, plain, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 27.71/27.95 cnf(matrix-5510, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11339, tc_HOL_Obool), tc_fun(_u11339, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11339, tc_HOL_Obool), tc_fun(_u11339, tc_HOL_Obool)), _u11340), _u11341)), c_Wellfounded_Omax__ext(_u11339, _u11342))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11339, tc_HOL_Obool), tc_fun(_u11339, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11339, tc_HOL_Obool), tc_fun(_u11339, tc_HOL_Obool)), _u11343), _u11344)), c_Wellfounded_Omax__ext(_u11339, _u11342))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11339, tc_HOL_Obool), tc_fun(_u11339, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11339, tc_HOL_Obool), tc_fun(_u11339, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11339, tc_HOL_Obool)), _u11340), _u11343)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11339, tc_HOL_Obool)), _u11341), _u11344))), c_Wellfounded_Omax__ext(_u11339, _u11342))) )).
% 27.71/27.95 cnf(matrix-5511, plain, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 27.71/27.95 cnf(matrix-5512, 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)) )).
% 27.71/27.95 cnf(matrix-5513, plain, ( ~c_Wellfounded_Omax__extp(_u11349, hAPP(hAPP(c_COMBC(_u11349, tc_fun(tc_prod(_u11349, _u11349), tc_HOL_Obool), tc_fun(_u11349, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11349, tc_fun(tc_fun(tc_prod(_u11349, _u11349), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11349, _u11349), tc_HOL_Obool), tc_fun(_u11349, tc_HOL_Obool)), _u11349), c_COMBC(_u11349, tc_fun(tc_prod(_u11349, _u11349), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11349, tc_prod(_u11349, _u11349)), tc_fun(_u11349, tc_fun(tc_fun(tc_prod(_u11349, _u11349), tc_HOL_Obool), tc_HOL_Obool)), _u11349), hAPP(c_COMBB(tc_prod(_u11349, _u11349), tc_fun(tc_fun(tc_prod(_u11349, _u11349), tc_HOL_Obool), tc_HOL_Obool), _u11349), c_member(tc_prod(_u11349, _u11349)))), c_Product__Type_OPair(_u11349, _u11349)))), _u11351), _u11353, _u11355) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11349, tc_HOL_Obool), tc_fun(_u11349, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11349, tc_HOL_Obool), tc_fun(_u11349, tc_HOL_Obool)), _u11353), _u11355)), c_Wellfounded_Omax__ext(_u11349, _u11351))) )).
% 27.71/27.95 cnf(matrix-5514, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11350, tc_HOL_Obool), tc_fun(_u11350, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11350, tc_HOL_Obool), tc_fun(_u11350, tc_HOL_Obool)), _u11354), _u11356)), c_Wellfounded_Omax__ext(_u11350, _u11352))) | c_Wellfounded_Omax__extp(_u11350, hAPP(hAPP(c_COMBC(_u11350, tc_fun(tc_prod(_u11350, _u11350), tc_HOL_Obool), tc_fun(_u11350, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11350, tc_fun(tc_fun(tc_prod(_u11350, _u11350), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11350, _u11350), tc_HOL_Obool), tc_fun(_u11350, tc_HOL_Obool)), _u11350), c_COMBC(_u11350, tc_fun(tc_prod(_u11350, _u11350), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11350, tc_prod(_u11350, _u11350)), tc_fun(_u11350, tc_fun(tc_fun(tc_prod(_u11350, _u11350), tc_HOL_Obool), tc_HOL_Obool)), _u11350), hAPP(c_COMBB(tc_prod(_u11350, _u11350), tc_fun(tc_fun(tc_prod(_u11350, _u11350), tc_HOL_Obool), tc_HOL_Obool), _u11350), c_member(tc_prod(_u11350, _u11350)))), c_Product__Type_OPair(_u11350, _u11350)))), _u11352), _u11354, _u11356) )).
% 27.71/27.95 cnf(matrix-5515, 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), _u11359), _u11361)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11359), _u11361)) )).
% 27.71/27.95 cnf(matrix-5516, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11360), _u11362)) | 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), _u11360), _u11362)), c_Wellfounded_Oless__than)) )).
% 27.71/27.95 cnf(matrix-5517, 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), _u11367), _u11369)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11371), _u11373))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11367), _u11373) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11371), _u11369)) )).
% 27.71/27.95 cnf(matrix-5518, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11368), _u11374) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11372), _u11370)) | 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), _u11368), _u11370)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11372), _u11374))), c_Int_Ointrel)) )).
% 27.71/27.95 cnf(matrix-5519, plain, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 27.71/27.95 cnf(matrix-5520, plain, ( ( c_Wellfounded_Omlex__prod(_u11375, _u11376, _u11377) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u11375), _u11375), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u11375, c_Wellfounded_Oless__than, _u11377)), hAPP(hAPP(c_COMBS(_u11375, _u11375, tc_prod(tc_Nat_Onat, _u11375)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11375, tc_prod(tc_Nat_Onat, _u11375)), _u11375), c_Product__Type_OPair(tc_Nat_Onat, _u11375)), _u11376)), c_COMBI(_u11375)))) )).
% 27.71/27.95 cnf(matrix-5521, plain, ( ~c_FunDef_Oreduction__pair(_u11378, _u11379) | c_FunDef_Oreduction__pair(_u11380, hAPP(hAPP(c_FunDef_Orp__inv__image(_u11378, _u11380), _u11379), _u11381)) )).
% 27.71/27.95 cnf(matrix-5522, plain, ( ~class_Orderings_Olinorder(_u11384) | ( hAPP(_u11385, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11384), skolem227(_u11386, _u11385, _u11384)), skolem228(_u11386, _u11385, _u11384))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11384), hAPP(_u11385, skolem227(_u11386, _u11385, _u11384))), hAPP(_u11385, skolem228(_u11386, _u11385, _u11384)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11384), _u11386)) | ( _u11386 = c_Orderings_Obot__class_Obot(tc_fun(_u11384, tc_HOL_Obool))) | ( hAPP(_u11385, c_Big__Operators_Olattice_OInf__fin(_u11384, c_Orderings_Oord__class_Omin(_u11384), _u11386)) = c_Big__Operators_Olattice_OInf__fin(_u11384, c_Orderings_Oord__class_Omin(_u11384), hAPP(c_Set_Oimage(_u11384, _u11384, _u11385), _u11386))) )).
% 27.71/27.95 cnf(matrix-5523, plain, ( ( c_FunDef_Orp__inv__image(_u11387, _u11388) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_fun(_u11388, _u11387), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_fun(_u11388, _u11387), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)), tc_fun(tc_fun(_u11388, _u11387), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool), tc_fun(tc_fun(_u11388, _u11387), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool))))), tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)), tc_fun(tc_fun(_u11388, _u11387), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool))), tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)), tc_fun(tc_fun(_u11388, _u11387), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool)), c_COMBS(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)), tc_fun(tc_fun(_u11388, _u11387), tc_fun(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), tc_fun(tc_prod(_u11387, _u11387), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool))), tc_fun(_u11388, _u11387)), c_Product__Type_OPair(tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool), tc_fun(tc_prod(_u11388, _u11388), tc_HOL_Obool)))), c_Relation_Oinv__image(_u11387, _u11388))))), c_Relation_Oinv__image(_u11387, _u11388)))) )).
% 27.71/27.95 cnf(matrix-5524, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11401, _u11401)), hAPP(hAPP(c_Product__Type_OPair(_u11401, _u11401), hAPP(_u11405, _u11397)), hAPP(_u11405, _u11399))), _u11403)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11395, _u11395)), hAPP(hAPP(c_Product__Type_OPair(_u11395, _u11395), _u11397), _u11399)), hAPP(hAPP(c_Relation_Oinv__image(_u11401, _u11395), _u11403), _u11405))) )).
% 27.71/27.95 cnf(matrix-5525, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11402, _u11402)), hAPP(hAPP(c_Product__Type_OPair(_u11402, _u11402), hAPP(_u11406, _u11398)), hAPP(_u11406, _u11400))), _u11404)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11396, _u11396)), hAPP(hAPP(c_Product__Type_OPair(_u11396, _u11396), _u11398), _u11400)), hAPP(hAPP(c_Relation_Oinv__image(_u11402, _u11396), _u11404), _u11406))) )).
% 27.71/27.95 cnf(matrix-5526, plain, ( ~class_Orderings_Olinorder(_u11409) | ( hAPP(_u11410, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11409), skolem229(_u11411, _u11410, _u11409)), skolem230(_u11411, _u11410, _u11409))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11409), hAPP(_u11410, skolem229(_u11411, _u11410, _u11409))), hAPP(_u11410, skolem230(_u11411, _u11410, _u11409)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11409), _u11411)) | ( _u11411 = c_Orderings_Obot__class_Obot(tc_fun(_u11409, tc_HOL_Obool))) | ( hAPP(_u11410, c_Big__Operators_Olinorder__class_OMax(_u11409, _u11411)) = c_Big__Operators_Olinorder__class_OMax(_u11409, hAPP(c_Set_Oimage(_u11409, _u11409, _u11410), _u11411))) )).
% 27.71/27.95 cnf(matrix-5527, plain, ( ~class_Orderings_Olinorder(_u11414) | ( hAPP(_u11415, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11414), skolem231(_u11416, _u11415, _u11414)), skolem232(_u11416, _u11415, _u11414))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11414), hAPP(_u11415, skolem231(_u11416, _u11415, _u11414))), hAPP(_u11415, skolem232(_u11416, _u11415, _u11414)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11414), _u11416)) | ( _u11416 = c_Orderings_Obot__class_Obot(tc_fun(_u11414, tc_HOL_Obool))) | ( hAPP(_u11415, c_Big__Operators_Olinorder__class_OMin(_u11414, _u11416)) = c_Big__Operators_Olinorder__class_OMin(_u11414, hAPP(c_Set_Oimage(_u11414, _u11414, _u11415), _u11416))) )).
% 27.71/27.95 cnf(matrix-5528, plain, ( ( c_Wellfounded_Omeasure(_u11417) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u11417), c_Wellfounded_Oless__than)) )).
% 27.71/27.95 cnf(matrix-5529, plain, ( ~c_Relation_Oirrefl(_u11422, _u11424) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11422, _u11422)), hAPP(hAPP(c_Product__Type_OPair(_u11422, _u11422), _u11418), _u11418)), _u11424)) )).
% 27.71/27.95 cnf(matrix-5530, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11423, _u11423)), hAPP(hAPP(c_Product__Type_OPair(_u11423, _u11423), skolem233(_u11425, _u11423)), skolem233(_u11425, _u11423))), _u11425)) | c_Relation_Oirrefl(_u11423, _u11425) )).
% 27.71/27.95 cnf(matrix-5531, plain, ( ( hAPP(c_Relation_OField(_u11426), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u11426, _u11426)), hAPP(hAPP(c_Product__Type_OPair(_u11426, _u11426), _u11427), _u11428)), _u11429)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11426, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11426), _u11427), hAPP(hAPP(c_Set_Oinsert(_u11426), _u11428), c_Orderings_Obot__class_Obot(tc_fun(_u11426, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u11426), _u11429))) )).
% 27.71/27.95 cnf(matrix-5532, plain, ( ( c_Relation_OId__on(_u11430, _u11431) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11430, tc_fun(tc_prod(_u11430, _u11430), tc_HOL_Obool)), _u11431), hAPP(hAPP(c_COMBC(_u11430, tc_fun(tc_prod(_u11430, _u11430), tc_HOL_Obool), tc_fun(tc_prod(_u11430, _u11430), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u11430, _u11430), tc_fun(tc_fun(tc_prod(_u11430, _u11430), tc_HOL_Obool), tc_fun(tc_prod(_u11430, _u11430), tc_HOL_Obool)), _u11430), c_Set_Oinsert(tc_prod(_u11430, _u11430))), hAPP(hAPP(c_COMBS(_u11430, _u11430, tc_prod(_u11430, _u11430)), c_Product__Type_OPair(_u11430, _u11430)), c_COMBI(_u11430)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11430, _u11430), tc_HOL_Obool))))) )).
% 27.71/27.95 cnf(matrix-5533, plain, ( ( c_Relation_OId__on(_u11432, _u11433) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11432, _u11432, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u11432, tc_HOL_Obool, tc_fun(_u11432, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11432, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u11432, tc_HOL_Obool)), _u11432), c_COMBC(_u11432, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11432, tc_HOL_Obool), tc_fun(_u11432, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11432), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11432), c_fconj)), c_fequal))), _u11433))) )).
% 27.71/27.95 cnf(matrix-5534, plain, ( ( c_Relation_OId__on(_u11434, c_Orderings_Obot__class_Obot(tc_fun(_u11434, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11434, _u11434), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5535, plain, ( ( hAPP(c_Relation_OField(_u11435), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11435, _u11435), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11435, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5536, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11436, _u11436), tc_HOL_Obool)), _u11437), _u11438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11436, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11436), _u11437)), hAPP(c_Relation_OField(_u11436), _u11438))) )).
% 27.71/27.95 cnf(matrix-5537, plain, ( ( hAPP(c_Relation_OField(_u11439), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11439, _u11439), tc_HOL_Obool)), _u11440), _u11441)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11439, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11439), _u11440)), hAPP(c_Relation_OField(_u11439), _u11441))) )).
% 27.71/27.95 cnf(matrix-5538, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u11442, _u11442)), _u11443)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11442), hAPP(c_Relation_OField(_u11442), _u11443))) )).
% 27.71/27.95 cnf(matrix-5539, plain, ( ( _u11444 != _u11445) | ~hBOOL(hAPP(hAPP(c_member(_u11446), _u11444), _u11447)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11446, _u11446)), hAPP(hAPP(c_Product__Type_OPair(_u11446, _u11446), _u11444), _u11445)), c_Relation_OId__on(_u11446, _u11447))) )).
% 27.71/27.95 cnf(matrix-5540, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11452, _u11452)), hAPP(hAPP(c_Product__Type_OPair(_u11452, _u11452), _u11454), _u11456)), c_Relation_OId__on(_u11452, _u11458))) | ( _u11454 = _u11456) )).
% 27.71/27.95 cnf(matrix-5541, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11452, _u11452)), hAPP(hAPP(c_Product__Type_OPair(_u11452, _u11452), _u11454), _u11456)), c_Relation_OId__on(_u11452, _u11458))) | hBOOL(hAPP(hAPP(c_member(_u11452), _u11454), _u11458)) )).
% 27.71/27.95 cnf(matrix-5542, plain, ( ( _u11455 != _u11457) | ~hBOOL(hAPP(hAPP(c_member(_u11453), _u11455), _u11459)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11453, _u11453)), hAPP(hAPP(c_Product__Type_OPair(_u11453, _u11453), _u11455), _u11457)), c_Relation_OId__on(_u11453, _u11459))) )).
% 27.71/27.95 cnf(matrix-5543, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11461, _u11461)), _u11462), c_Relation_OId__on(_u11461, _u11463))) | hBOOL(hAPP(hAPP(c_member(_u11461), skolem234(_u11463, _u11462, _u11461)), _u11463)) )).
% 27.71/27.95 cnf(matrix-5544, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11461, _u11461)), _u11462), c_Relation_OId__on(_u11461, _u11463))) | ( _u11462 = hAPP(hAPP(c_Product__Type_OPair(_u11461, _u11461), skolem234(_u11463, _u11462, _u11461)), skolem234(_u11463, _u11462, _u11461))) )).
% 27.71/27.95 cnf(matrix-5545, plain, ( ~class_Lattices_Olattice(_u11466) | ( hAPP(_u11467, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11466), skolem235(_u11468, _u11467, _u11466)), skolem236(_u11468, _u11467, _u11466))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11466), hAPP(_u11467, skolem235(_u11468, _u11467, _u11466))), hAPP(_u11467, skolem236(_u11468, _u11467, _u11466)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11466), _u11468)) | ( _u11468 = c_Orderings_Obot__class_Obot(tc_fun(_u11466, tc_HOL_Obool))) | ( hAPP(_u11467, c_Big__Operators_Olattice__class_OSup__fin(_u11466, _u11468)) = c_Big__Operators_Olattice__class_OSup__fin(_u11466, hAPP(c_Set_Oimage(_u11466, _u11466, _u11467), _u11468))) )).
% 27.71/27.95 cnf(matrix-5546, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11471), _u11472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11471, tc_HOL_Obool)), _u11473), _u11472)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11471, _u11470), _u11474), _u11473) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11471, _u11470), _u11474), _u11472)) | hBOOL(hAPP(hAPP(c_member(_u11471), skolem237(_u11474, _u11473, _u11472, _u11471, _u11470)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11471, tc_HOL_Obool)), _u11472), _u11473))) )).
% 27.71/27.95 cnf(matrix-5547, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11471), _u11472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11471, tc_HOL_Obool)), _u11473), _u11472)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11471, _u11470), _u11474), _u11473) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11471, _u11470), _u11474), _u11472)) | ( hAPP(_u11474, skolem237(_u11474, _u11473, _u11472, _u11471, _u11470)) != c_Groups_Oone__class_Oone(_u11470)) )).
% 27.71/27.95 cnf(matrix-5548, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11477), _u11478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11477, tc_HOL_Obool)), _u11479), _u11478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11477, _u11476), _u11480), _u11478) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11477, _u11476), _u11480), _u11479)) | hBOOL(hAPP(hAPP(c_member(_u11477), skolem238(_u11480, _u11479, _u11478, _u11477, _u11476)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11477, tc_HOL_Obool)), _u11478), _u11479))) )).
% 27.71/27.95 cnf(matrix-5549, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11477), _u11478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11477, tc_HOL_Obool)), _u11479), _u11478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11477, _u11476), _u11480), _u11478) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11477, _u11476), _u11480), _u11479)) | ( hAPP(_u11480, skolem238(_u11480, _u11479, _u11478, _u11477, _u11476)) != c_Groups_Oone__class_Oone(_u11476)) )).
% 27.71/27.95 cnf(matrix-5550, plain, ( ~class_Groups_Ocomm__monoid__add(_u11482) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11483), _u11484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11483, tc_HOL_Obool)), _u11485), _u11484)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11483, _u11482), _u11486), _u11484) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11483, _u11482), _u11486), _u11485)) | hBOOL(hAPP(hAPP(c_member(_u11483), skolem239(_u11486, _u11485, _u11484, _u11483, _u11482)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11483, tc_HOL_Obool)), _u11484), _u11485))) )).
% 27.71/27.95 cnf(matrix-5551, plain, ( ~class_Groups_Ocomm__monoid__add(_u11482) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11483), _u11484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11483, tc_HOL_Obool)), _u11485), _u11484)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11483, _u11482), _u11486), _u11484) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11483, _u11482), _u11486), _u11485)) | ( hAPP(_u11486, skolem239(_u11486, _u11485, _u11484, _u11483, _u11482)) != c_Groups_Ozero__class_Ozero(_u11482)) )).
% 27.71/27.95 cnf(matrix-5552, plain, ( ~class_Groups_Ocomm__monoid__add(_u11488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11489), _u11490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11489, tc_HOL_Obool)), _u11491), _u11490)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11489, _u11488), _u11492), _u11491) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11489, _u11488), _u11492), _u11490)) | hBOOL(hAPP(hAPP(c_member(_u11489), skolem240(_u11492, _u11491, _u11490, _u11489, _u11488)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11489, tc_HOL_Obool)), _u11490), _u11491))) )).
% 27.71/27.95 cnf(matrix-5553, plain, ( ~class_Groups_Ocomm__monoid__add(_u11488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11489), _u11490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11489, tc_HOL_Obool)), _u11491), _u11490)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11489, _u11488), _u11492), _u11491) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11489, _u11488), _u11492), _u11490)) | ( hAPP(_u11492, skolem240(_u11492, _u11491, _u11490, _u11489, _u11488)) != c_Groups_Ozero__class_Ozero(_u11488)) )).
% 27.71/27.95 cnf(matrix-5554, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11493), _u11494)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11493, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11493), _u11494)) = 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(_u11493), _u11494))) )).
% 27.71/27.95 cnf(matrix-5555, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11497), _u11498)) | ~hBOOL(hAPP(_u11499, _u11498)) | hBOOL(hAPP(_u11499, c_Orderings_Obot__class_Obot(tc_fun(_u11497, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11497), skolem242(_u11499, _u11498, _u11497))) )).
% 27.71/27.95 cnf(matrix-5556, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11497), _u11498)) | ~hBOOL(hAPP(_u11499, _u11498)) | hBOOL(hAPP(_u11499, c_Orderings_Obot__class_Obot(tc_fun(_u11497, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u11497), skolem241(_u11499, _u11498, _u11497)), skolem242(_u11499, _u11498, _u11497))) )).
% 27.71/27.95 cnf(matrix-5557, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11497), _u11498)) | ~hBOOL(hAPP(_u11499, _u11498)) | hBOOL(hAPP(_u11499, c_Orderings_Obot__class_Obot(tc_fun(_u11497, tc_HOL_Obool)))) | hBOOL(hAPP(_u11499, skolem242(_u11499, _u11498, _u11497))) )).
% 27.71/27.95 cnf(matrix-5558, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11497), _u11498)) | ~hBOOL(hAPP(_u11499, _u11498)) | hBOOL(hAPP(_u11499, c_Orderings_Obot__class_Obot(tc_fun(_u11497, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u11499, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11497, tc_HOL_Obool)), skolem242(_u11499, _u11498, _u11497)), hAPP(hAPP(c_Set_Oinsert(_u11497), skolem241(_u11499, _u11498, _u11497)), c_Orderings_Obot__class_Obot(tc_fun(_u11497, tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-5559, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u11500, _u11501, _u11502) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11500), _u11503)) | ( _u11503 = c_Orderings_Obot__class_Obot(tc_fun(_u11500, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11500), _u11504)) | ( _u11504 = c_Orderings_Obot__class_Obot(tc_fun(_u11500, tc_HOL_Obool))) | ( hAPP(_u11502, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11500, tc_HOL_Obool)), _u11503), _u11504)) = hAPP(hAPP(_u11501, hAPP(_u11502, _u11503)), hAPP(_u11502, _u11504))) )).
% 27.71/27.95 cnf(matrix-5560, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11505, tc_HOL_Obool)), _u11506), _u11507)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11505, tc_HOL_Obool)), _u11506), hAPP(c_Set_OPow(_u11505), _u11507))) )).
% 27.71/27.95 cnf(matrix-5561, plain, ( ( hAPP(c_Set_OPow(_u11508), hAPP(hAPP(c_Set_Oinsert(_u11508), _u11509), _u11510)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u11508, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11508), _u11510)), hAPP(c_Set_Oimage(tc_fun(_u11508, tc_HOL_Obool), tc_fun(_u11508, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u11508), _u11509)), hAPP(c_Set_OPow(_u11508), _u11510)))) )).
% 27.71/27.95 cnf(matrix-5562, plain, ( ( hAPP(c_Set_OPow(_u11511), c_Orderings_Obot__class_Obot(tc_fun(_u11511, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11511, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11511, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11511, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5563, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u11512, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11512, tc_HOL_Obool))), hAPP(c_Set_OPow(_u11512), _u11513))) )).
% 27.71/27.95 cnf(matrix-5564, plain, ( ( hAPP(c_Set_OPow(_u11514), _u11515) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11514, tc_HOL_Obool), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5565, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11516, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u11516, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11516), _u11517)), hAPP(c_Set_OPow(_u11516), _u11518))), hAPP(c_Set_OPow(_u11516), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11516, tc_HOL_Obool)), _u11517), _u11518)))) )).
% 27.71/27.95 cnf(matrix-5566, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11522, tc_HOL_Obool)), _u11524), hAPP(c_Set_OPow(_u11522), _u11526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11522, tc_HOL_Obool)), _u11524), _u11526)) )).
% 27.71/27.95 cnf(matrix-5567, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11523, tc_HOL_Obool)), _u11525), _u11527)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11523, tc_HOL_Obool)), _u11525), hAPP(c_Set_OPow(_u11523), _u11527))) )).
% 27.71/27.95 cnf(matrix-5568, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11528, tc_HOL_Obool)), _u11529), hAPP(c_Set_OPow(_u11528), _u11530))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11528, tc_HOL_Obool)), _u11529), _u11530)) )).
% 27.71/27.95 cnf(matrix-5569, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u11531, tc_HOL_Obool)), _u11532), hAPP(c_Set_OPow(_u11531), _u11532))) )).
% 27.71/27.95 cnf(matrix-5570, plain, ( ( hAPP(c_Set_OPow(_u11533), c_Orderings_Otop__class_Otop(tc_fun(_u11533, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11533, tc_HOL_Obool), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5571, plain, ( ( hAPP(hAPP(_u11535, _u11537), _u11537) = _u11537) | ~c_Finite__Set_Ofolding__one__idem(_u11534, _u11535, _u11536) )).
% 27.71/27.95 cnf(matrix-5572, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11538, tc_HOL_Obool)), _u11539), _u11540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11538, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11538), _u11539)), hAPP(c_Set_OPow(_u11538), _u11540))) )).
% 27.71/27.95 cnf(matrix-5573, plain, ( ( hAPP(c_Set_Oimage(_u11542, tc_fun(_u11542, tc_HOL_Obool), _u11541), _u11543) != hAPP(c_Set_OPow(_u11542), _u11543)) )).
% 27.71/27.95 cnf(matrix-5574, plain, ( ( hAPP(c_Set_Oimage(_u11544, _u11545, _u11546), _u11547) != _u11548) | ( hAPP(c_Set_Oimage(tc_fun(_u11544, tc_HOL_Obool), tc_fun(_u11545, tc_HOL_Obool), c_Set_Oimage(_u11544, _u11545, _u11546)), hAPP(c_Set_OPow(_u11544), _u11547)) = hAPP(c_Set_OPow(_u11545), _u11548)) )).
% 27.71/27.95 cnf(matrix-5575, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11551, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11551), _u11553))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11551), _u11553)) )).
% 27.71/27.95 cnf(matrix-5576, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11552), _u11554)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11552, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11552), _u11554))) )).
% 27.71/27.95 cnf(matrix-5577, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11556, tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool)), _u11557), hAPP(hAPP(c_COMBB(tc_fun(_u11555, tc_HOL_Obool), tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool), _u11556), c_Set_OPow(_u11555)), _u11558))), hAPP(c_Set_OPow(_u11555), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11556, tc_fun(_u11555, tc_HOL_Obool)), _u11557), _u11558)))) )).
% 27.71/27.95 cnf(matrix-5578, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11559, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11560, _u11559, _u11561), _u11562)), _u11563)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11559, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u11560, tc_HOL_Obool), tc_fun(_u11559, tc_HOL_Obool), c_Set_Oimage(_u11560, _u11559, _u11561)), hAPP(c_Set_OPow(_u11560), _u11562))), hAPP(c_Set_OPow(_u11559), _u11563))) )).
% 27.71/27.95 cnf(matrix-5579, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u11564, _u11565, _u11566) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11564), _u11567)) | ~hBOOL(hAPP(hAPP(c_member(_u11564), _u11568), _u11567)) | ( hAPP(hAPP(_u11565, _u11568), hAPP(_u11566, _u11567)) = hAPP(_u11566, _u11567)) )).
% 27.71/27.95 cnf(matrix-5580, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u11569, _u11570, _u11571) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11569), _u11572)) | ( _u11572 = c_Orderings_Obot__class_Obot(tc_fun(_u11569, tc_HOL_Obool))) | ( hAPP(_u11571, hAPP(hAPP(c_Set_Oinsert(_u11569), _u11573), _u11572)) = hAPP(hAPP(_u11570, _u11573), hAPP(_u11571, _u11572))) )).
% 27.71/27.95 cnf(matrix-5581, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u11574, _u11575, _u11576) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11574), _u11577)) | ( _u11578 = c_Orderings_Obot__class_Obot(tc_fun(_u11574, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11574, tc_HOL_Obool)), _u11578), _u11577)) | ( hAPP(hAPP(_u11575, hAPP(_u11576, _u11578)), hAPP(_u11576, _u11577)) = hAPP(_u11576, _u11577)) )).
% 27.71/27.95 cnf(matrix-5582, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u11582, hAPP(hAPP(c_COMBC(_u11582, tc_fun(_u11582, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11582)), _u11584)), _u11586)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11582, tc_HOL_Obool)), _u11586), hAPP(c_Set_OPow(_u11582), _u11584))) )).
% 27.71/27.95 cnf(matrix-5583, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11583, tc_HOL_Obool)), _u11587), hAPP(c_Set_OPow(_u11583), _u11585))) | hBOOL(hAPP(c_Predicate_OPowp(_u11583, hAPP(hAPP(c_COMBC(_u11583, tc_fun(_u11583, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11583)), _u11585)), _u11587)) )).
% 27.71/27.95 cnf(matrix-5584, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11591), _u11592)) | ~hBOOL(hAPP(_u11593, c_Orderings_Obot__class_Obot(tc_fun(_u11590, tc_HOL_Obool)))) | hBOOL(hAPP(_u11593, _u11591)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), skolem244(_u11593, _u11592, _u11591, _u11590))) )).
% 27.71/27.95 cnf(matrix-5585, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11591), _u11592)) | ~hBOOL(hAPP(_u11593, c_Orderings_Obot__class_Obot(tc_fun(_u11590, tc_HOL_Obool)))) | hBOOL(hAPP(_u11593, _u11591)) | hBOOL(hAPP(hAPP(c_member(_u11590), skolem243(_u11593, _u11592, _u11591, _u11590)), _u11592)) )).
% 27.71/27.95 cnf(matrix-5586, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11591), _u11592)) | ~hBOOL(hAPP(_u11593, c_Orderings_Obot__class_Obot(tc_fun(_u11590, tc_HOL_Obool)))) | hBOOL(hAPP(_u11593, _u11591)) | ~hBOOL(hAPP(hAPP(c_member(_u11590), skolem243(_u11593, _u11592, _u11591, _u11590)), skolem244(_u11593, _u11592, _u11591, _u11590))) )).
% 27.71/27.95 cnf(matrix-5587, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11591), _u11592)) | ~hBOOL(hAPP(_u11593, c_Orderings_Obot__class_Obot(tc_fun(_u11590, tc_HOL_Obool)))) | hBOOL(hAPP(_u11593, _u11591)) | hBOOL(hAPP(_u11593, skolem244(_u11593, _u11592, _u11591, _u11590))) )).
% 27.71/27.95 cnf(matrix-5588, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11591), _u11592)) | ~hBOOL(hAPP(_u11593, c_Orderings_Obot__class_Obot(tc_fun(_u11590, tc_HOL_Obool)))) | hBOOL(hAPP(_u11593, _u11591)) | ~hBOOL(hAPP(_u11593, hAPP(hAPP(c_Set_Oinsert(_u11590), skolem243(_u11593, _u11592, _u11591, _u11590)), skolem244(_u11593, _u11592, _u11591, _u11590)))) )).
% 27.71/27.95 cnf(matrix-5589, plain, ( ~class_Groups_Ocomm__monoid__add(_u11595) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11595) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11596), _u11597)) | ( _u11597 = c_Orderings_Obot__class_Obot(tc_fun(_u11596, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11595), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11596, _u11595), _u11598), _u11597)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11596, _u11595), _u11599), _u11597))) | hBOOL(hAPP(hAPP(c_member(_u11596), skolem245(_u11599, _u11598, _u11597, _u11596, _u11595)), _u11597)) )).
% 27.71/27.95 cnf(matrix-5590, plain, ( ~class_Groups_Ocomm__monoid__add(_u11595) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11595) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11596), _u11597)) | ( _u11597 = c_Orderings_Obot__class_Obot(tc_fun(_u11596, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11595), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11596, _u11595), _u11598), _u11597)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11596, _u11595), _u11599), _u11597))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11595), hAPP(_u11598, skolem245(_u11599, _u11598, _u11597, _u11596, _u11595))), hAPP(_u11599, skolem245(_u11599, _u11598, _u11597, _u11596, _u11595)))) )).
% 27.71/27.95 cnf(matrix-5591, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11600, tc_HOL_Obool)), _u11601), _u11602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11600, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u11600, _u11601)), c_Predicate_OPowp(_u11600, _u11602))) )).
% 27.71/27.95 cnf(matrix-5592, 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)), _u11605), 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)), _u11607), 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)), _u11605), _u11607)), c_Int_Ointrel)) )).
% 27.71/27.95 cnf(matrix-5593, 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)), _u11606), _u11608)), 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)), _u11606), 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)), _u11608), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 27.71/27.95 cnf(matrix-5594, plain, ( ~class_Groups_Ocomm__monoid__add(_u11609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11610), _u11611)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11612), _u11613)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_sum(_u11610, _u11612), _u11609), _u11614), c_Sum__Type_OPlus(_u11610, _u11612, _u11611, _u11613)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11609), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11610, _u11609), hAPP(c_Fun_Ocomp(tc_sum(_u11610, _u11612), _u11609, _u11610, _u11614), c_Sum__Type_OInl(_u11610, _u11612))), _u11611)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11612, _u11609), hAPP(c_Fun_Ocomp(tc_sum(_u11610, _u11612), _u11609, _u11612, _u11614), c_Sum__Type_OInr(_u11612, _u11610))), _u11613))) )).
% 27.71/27.95 cnf(matrix-5595, plain, ( ~class_Groups_Ocomm__monoid__add(_u11616) | ~class_Groups_Ocomm__monoid__mult(_u11616) | ( _u11617 != _u11618) | ~c_Nat__Transfer_Onat__set(_u11618) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11616), _u11619), _u11617) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11616), _u11620), _u11618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem246(_u11620, _u11619, _u11618, _u11617, _u11616))) )).
% 27.71/27.95 cnf(matrix-5596, plain, ( ~class_Groups_Ocomm__monoid__add(_u11616) | ~class_Groups_Ocomm__monoid__mult(_u11616) | ( _u11617 != _u11618) | ~c_Nat__Transfer_Onat__set(_u11618) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11616), _u11619), _u11617) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11616), _u11620), _u11618)) | ( hAPP(_u11619, skolem246(_u11620, _u11619, _u11618, _u11617, _u11616)) != hAPP(_u11620, skolem246(_u11620, _u11619, _u11618, _u11617, _u11616))) )).
% 27.71/27.95 cnf(matrix-5597, plain, ( ( hAPP(c_Relation_OImage(_u11621, _u11622, _u11623), c_Orderings_Obot__class_Obot(tc_fun(_u11621, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11622, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5598, plain, ( ( hAPP(c_Relation_OImage(_u11624, _u11625, _u11626), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11624, tc_HOL_Obool)), _u11627), _u11628)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11625, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11624, _u11625, _u11626), _u11627)), hAPP(c_Relation_OImage(_u11624, _u11625, _u11626), _u11628))) )).
% 27.71/27.95 cnf(matrix-5599, plain, ( ( hAPP(c_Relation_OImage(_u11629, _u11630, _u11631), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11632, tc_fun(_u11629, tc_HOL_Obool)), _u11633), _u11634)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11632, tc_fun(_u11630, tc_HOL_Obool)), _u11633), hAPP(hAPP(c_COMBB(tc_fun(_u11629, tc_HOL_Obool), tc_fun(_u11630, tc_HOL_Obool), _u11632), c_Relation_OImage(_u11629, _u11630, _u11631)), _u11634))) )).
% 27.71/27.95 cnf(matrix-5600, plain, ( ( hAPP(c_Set_Oimage(_u11635, _u11636, hAPP(c_Fun_Ocomp(_u11637, _u11636, _u11635, _u11638), _u11639)), _u11640) = hAPP(c_Set_Oimage(_u11637, _u11636, _u11638), hAPP(c_Set_Oimage(_u11635, _u11637, _u11639), _u11640))) )).
% 27.71/27.95 cnf(matrix-5601, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u11641, _u11642, _u11643, _u11644), _u11645), _u11646) = hAPP(_u11644, hAPP(_u11645, _u11646))) )).
% 27.71/27.95 cnf(matrix-5602, plain, ( ( hAPP(_u11651, hAPP(_u11652, _u11647)) = hAPP(_u11654, hAPP(_u11655, _u11647))) | ( hAPP(c_Fun_Ocomp(_u11648, _u11649, _u11650, _u11651), _u11652) != hAPP(c_Fun_Ocomp(_u11653, _u11649, _u11650, _u11654), _u11655)) )).
% 27.71/27.95 cnf(matrix-5603, plain, ( ( hAPP(_u11659, hAPP(_u11660, _u11664)) = hAPP(_u11662, hAPP(_u11663, _u11664))) | ( hAPP(c_Fun_Ocomp(_u11656, _u11657, _u11658, _u11659), _u11660) != hAPP(c_Fun_Ocomp(_u11661, _u11657, _u11658, _u11662), _u11663)) )).
% 27.71/27.95 cnf(matrix-5604, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u11665, _u11666, _u11667, _u11668), _u11669), _u11670) = hAPP(_u11668, hAPP(_u11669, _u11670))) )).
% 27.71/27.95 cnf(matrix-5605, plain, ( ( hAPP(c_Fun_Ocomp(_u11671, _u11672, _u11673, _u11674), hAPP(c_Fun_Ocomp(_u11675, _u11671, _u11673, _u11676), _u11677)) = hAPP(c_Fun_Ocomp(_u11675, _u11672, _u11673, hAPP(c_Fun_Ocomp(_u11671, _u11672, _u11675, _u11674), _u11676)), _u11677)) )).
% 27.71/27.95 cnf(matrix-5606, plain, ( ( hAPP(c_Product__Type_Oapfst(_u11678, _u11679, _u11680, _u11681), hAPP(c_Product__Type_Oapfst(_u11682, _u11678, _u11680, _u11683), _u11684)) = hAPP(c_Product__Type_Oapfst(_u11682, _u11679, _u11680, hAPP(c_Fun_Ocomp(_u11678, _u11679, _u11682, _u11681), _u11683)), _u11684)) )).
% 27.71/27.95 cnf(matrix-5607, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u11685, _u11686, _u11687, _u11688), hAPP(c_Product__Type_Oapsnd(_u11689, _u11685, _u11687, _u11690), _u11691)) = hAPP(c_Product__Type_Oapsnd(_u11689, _u11686, _u11687, hAPP(c_Fun_Ocomp(_u11685, _u11686, _u11689, _u11688), _u11690)), _u11691)) )).
% 27.71/27.95 cnf(matrix-5608, plain, ( ( hAPP(_u11692, hAPP(_u11693, _u11694)) != hAPP(_u11695, hAPP(_u11696, _u11697))) | ( hAPP(hAPP(c_Fun_Ocomp(_u11698, _u11699, _u11700, _u11692), _u11693), _u11694) = hAPP(hAPP(c_Fun_Ocomp(_u11701, _u11699, _u11702, _u11695), _u11696), _u11697)) )).
% 27.71/27.95 cnf(matrix-5609, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u11703, _u11704, _u11705, hAPP(c_COMBK(_u11704, _u11703), _u11706)), _u11707), _u11708) = _u11706) )).
% 27.71/27.95 cnf(matrix-5610, plain, ( ( hAPP(_u11712, hAPP(_u11713, _u11715)) = hAPP(_u11714, _u11715)) | ( hAPP(c_Fun_Ocomp(_u11709, _u11710, _u11711, _u11712), _u11713) != _u11714) )).
% 27.71/27.95 cnf(matrix-5611, plain, ( ( hAPP(c_Fun_Ocomp(_u11716, _u11717, _u11718, _u11719), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11718, _u11716), _u11720), _u11721), _u11722)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11718, _u11717), hAPP(c_Fun_Ocomp(_u11716, _u11717, _u11718, _u11719), _u11720)), _u11721), hAPP(_u11719, _u11722))) )).
% 27.71/27.95 cnf(matrix-5612, plain, ( ( hAPP(c_Set_Oimage(_u11723, _u11724, _u11725), c_Orderings_Otop__class_Otop(tc_fun(_u11723, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11724, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11724, _u11726, _u11727), c_Orderings_Otop__class_Otop(tc_fun(_u11724, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11726, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11723, _u11726, hAPP(c_Fun_Ocomp(_u11724, _u11726, _u11723, _u11727), _u11725)), c_Orderings_Otop__class_Otop(tc_fun(_u11723, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11726, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5613, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11728, _u11729), tc_HOL_Obool)), _u11730), _u11731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11728, tc_HOL_Obool)), _u11732), _u11733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11729, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11728, _u11729, _u11730), _u11732)), hAPP(c_Relation_OImage(_u11728, _u11729, _u11731), _u11733))) )).
% 27.71/27.95 cnf(matrix-5614, plain, ( ( hAPP(c_Relation_OImage(_u11734, _u11735, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11734, _u11735), tc_HOL_Obool)), _u11736), _u11737)), _u11738) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11735, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11734, _u11735, _u11736), _u11738)), hAPP(c_Relation_OImage(_u11734, _u11735, _u11737), _u11738))) )).
% 27.71/27.95 cnf(matrix-5615, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11739), _u11740), _u11741)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11739, _u11742)), hAPP(hAPP(c_Product__Type_OPair(_u11739, _u11742), _u11740), _u11743)), _u11744)) | hBOOL(hAPP(hAPP(c_member(_u11742), _u11743), hAPP(c_Relation_OImage(_u11739, _u11742, _u11744), _u11741))) )).
% 27.71/27.95 cnf(matrix-5616, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11752), _u11754), hAPP(c_Relation_OImage(_u11756, _u11752, _u11758), _u11760))) | hBOOL(hAPP(hAPP(c_member(_u11756), skolem247(_u11760, _u11758, _u11756, _u11754, _u11752)), _u11760)) )).
% 27.71/27.95 cnf(matrix-5617, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11752), _u11754), hAPP(c_Relation_OImage(_u11756, _u11752, _u11758), _u11760))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11756, _u11752)), hAPP(hAPP(c_Product__Type_OPair(_u11756, _u11752), skolem247(_u11760, _u11758, _u11756, _u11754, _u11752)), _u11754)), _u11758)) )).
% 27.71/27.95 cnf(matrix-5618, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11757), _u11746), _u11761)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11757, _u11753)), hAPP(hAPP(c_Product__Type_OPair(_u11757, _u11753), _u11746), _u11755)), _u11759)) | hBOOL(hAPP(hAPP(c_member(_u11753), _u11755), hAPP(c_Relation_OImage(_u11757, _u11753, _u11759), _u11761))) )).
% 27.71/27.95 cnf(matrix-5619, plain, ( ( hAPP(c_Relation_OImage(_u11762, _u11763, _u11764), _u11765) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11762, tc_fun(_u11763, tc_HOL_Obool)), _u11765), hAPP(hAPP(c_COMBB(tc_fun(_u11762, tc_HOL_Obool), tc_fun(_u11763, tc_HOL_Obool), _u11762), c_Relation_OImage(_u11762, _u11763, _u11764)), hAPP(hAPP(c_COMBC(_u11762, tc_fun(_u11762, tc_HOL_Obool), tc_fun(_u11762, tc_HOL_Obool)), c_Set_Oinsert(_u11762)), c_Orderings_Obot__class_Obot(tc_fun(_u11762, tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-5620, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11771), _u11773), hAPP(c_Relation_OImage(_u11775, _u11771, _u11777), hAPP(hAPP(c_Set_Oinsert(_u11775), _u11779), c_Orderings_Obot__class_Obot(tc_fun(_u11775, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11775, _u11771)), hAPP(hAPP(c_Product__Type_OPair(_u11775, _u11771), _u11779), _u11773)), _u11777)) )).
% 27.71/27.95 cnf(matrix-5621, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11776, _u11772)), hAPP(hAPP(c_Product__Type_OPair(_u11776, _u11772), _u11780), _u11774)), _u11778)) | hBOOL(hAPP(hAPP(c_member(_u11772), _u11774), hAPP(c_Relation_OImage(_u11776, _u11772, _u11778), hAPP(hAPP(c_Set_Oinsert(_u11776), _u11780), c_Orderings_Obot__class_Obot(tc_fun(_u11776, tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-5622, plain, ( ~class_Rings_Oring__1(_u11781) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11781), 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), _u11782), _u11783)), 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(_u11781), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11781), _u11782)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11781), _u11783))) )).
% 27.71/27.95 cnf(matrix-5623, 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)))))) )).
% 27.71/27.95 cnf(matrix-5624, 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), _u11784), _u11785)), 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), _u11786), _u11787)), 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), _u11784), _u11786)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11785), _u11787))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11784), _u11787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11785), _u11786)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-5625, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11788, tc_fun(_u11789, tc_HOL_Obool)), _u11790), hAPP(c_Fun_Ocomp(_u11791, tc_fun(_u11789, tc_HOL_Obool), _u11788, _u11792), _u11793)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11791, tc_fun(_u11789, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11788, _u11791, _u11793), _u11790)), _u11792)) )).
% 27.71/27.95 cnf(matrix-5626, plain, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u11794)) = _u11794) )).
% 27.71/27.95 cnf(matrix-5627, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11795, _u11796, _u11797), hAPP(c_Fun_Ocomp(_u11798, tc_fun(_u11796, _u11797), _u11795, _u11799), _u11800)), _u11801) = hAPP(hAPP(_u11799, hAPP(_u11800, hAPP(c_Product__Type_Ofst(_u11795, _u11796), _u11801))), hAPP(c_Product__Type_Osnd(_u11795, _u11796), _u11801))) )).
% 27.71/27.95 cnf(matrix-5628, 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)) )).
% 27.71/27.95 cnf(matrix-5629, 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)) )).
% 27.71/27.95 cnf(matrix-5630, 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), _u11802), _u11803)), 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), _u11803), _u11802)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-5631, 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)))))) )).
% 27.71/27.95 cnf(matrix-5632, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11804) = 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), _u11804), 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)))))) )).
% 27.71/27.95 cnf(matrix-5633, 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), _u11805), _u11806)), 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), _u11807), _u11808)), 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), _u11805), _u11807)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11806), _u11808))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-5634, 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), _u11809), _u11810)), 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), _u11809), _u11810)) )).
% 27.71/27.95 cnf(matrix-5635, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11811) = 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, _u11811)), 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)))))))) )).
% 27.71/27.95 cnf(matrix-5636, 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), _u11816), _u11818)), 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), _u11820), _u11822)), 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), _u11816), _u11822)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11820), _u11818))) )).
% 27.71/27.95 cnf(matrix-5637, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11817), _u11823)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11821), _u11819))) | 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), _u11817), _u11819)), 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), _u11821), _u11823)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5638, 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), _u11828), _u11830)), 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), _u11832), _u11834)), 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), _u11828), _u11834)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11832), _u11830))) )).
% 27.71/27.95 cnf(matrix-5639, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11829), _u11835)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11833), _u11831))) | 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), _u11829), _u11831)), 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), _u11833), _u11835)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5640, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u11836, _u11837, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11836)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11836), c_Hoare__Mirabelle_Opeek__and(_u11836, _u11838, _u11839)), _u11840), _u11841)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11836), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u11836, _u11837, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11836)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11836), c_Hoare__Mirabelle_Opeek__and(_u11836, _u11838, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u11839))), _u11842), _u11841)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11836), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u11836, _u11837, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11836)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11836), _u11838), c_Com_Ocom_OCond(_u11839, _u11840, _u11842)), _u11841)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11836), tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5641, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u11843, _u11844, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11843)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11843), c_Hoare__Mirabelle_Opeek__and(_u11843, _u11845, _u11846)), _u11847), _u11845)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11843), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u11843, _u11844, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11843)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11843), _u11845), c_Com_Ocom_OWhile(_u11846, _u11847)), c_Hoare__Mirabelle_Opeek__and(_u11843, _u11845, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u11846)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11843), tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5642, plain, ( ( c_Nitpick_Odenom(_u11848) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u11848, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u11848))) )).
% 27.71/27.95 cnf(matrix-5643, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u11854, _u11856, _u11858), _u11860), _u11862)) | hBOOL(hAPP(hAPP(_u11856, _u11860), _u11862)) )).
% 27.71/27.95 cnf(matrix-5644, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u11854, _u11856, _u11858), _u11860), _u11862)) | hBOOL(hAPP(_u11858, _u11862)) )).
% 27.71/27.95 cnf(matrix-5645, plain, ( ~hBOOL(hAPP(hAPP(_u11857, _u11861), _u11863)) | ~hBOOL(hAPP(_u11859, _u11863)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u11855, _u11857, _u11859), _u11861), _u11863)) )).
% 27.71/27.95 cnf(matrix-5646, plain, ( ( c_Nitpick_Onum(_u11864) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u11864, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u11864))) )).
% 27.71/27.95 cnf(matrix-5647, plain, ( ~c_Finite__Set_Ofolding(_u11865, _u11866, _u11867, _u11868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11865), _u11869)) | ~hBOOL(hAPP(hAPP(c_member(_u11865), _u11870), _u11869)) | ( hAPP(_u11868, _u11869) = hAPP(c_Fun_Ocomp(_u11866, _u11866, _u11866, hAPP(_u11868, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11865, tc_HOL_Obool)), _u11869), hAPP(hAPP(c_Set_Oinsert(_u11865), _u11870), c_Orderings_Obot__class_Obot(tc_fun(_u11865, tc_HOL_Obool)))))), hAPP(_u11867, _u11870))) )).
% 27.71/27.95 cnf(matrix-5648, plain, ( ( _u11873 = 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(_u11873)), skolem249(_u11873))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-5649, plain, ( ~c_Finite__Set_Ofolding(_u11874, _u11875, _u11876, _u11877) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11874), _u11878)) | ( hAPP(_u11877, hAPP(hAPP(c_Set_Oinsert(_u11874), _u11879), _u11878)) = hAPP(c_Fun_Ocomp(_u11875, _u11875, _u11875, hAPP(_u11877, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11874, tc_HOL_Obool)), _u11878), hAPP(hAPP(c_Set_Oinsert(_u11874), _u11879), c_Orderings_Obot__class_Obot(tc_fun(_u11874, tc_HOL_Obool)))))), hAPP(_u11876, _u11879))) )).
% 27.71/27.95 cnf(matrix-5650, plain, ( ( hAPP(c_Fun_Ocomp(_u11881, _u11881, _u11884, hAPP(_u11882, _u11885)), hAPP(c_Fun_Ocomp(_u11881, _u11881, _u11884, hAPP(_u11882, _u11886)), _u11887)) = hAPP(c_Fun_Ocomp(_u11881, _u11881, _u11884, hAPP(_u11882, _u11886)), hAPP(c_Fun_Ocomp(_u11881, _u11881, _u11884, hAPP(_u11882, _u11885)), _u11887))) | ~c_Finite__Set_Ofolding(_u11880, _u11881, _u11882, _u11883) )).
% 27.71/27.95 cnf(matrix-5651, plain, ( ( hAPP(c_Fun_Ocomp(_u11889, _u11889, _u11889, hAPP(_u11890, _u11892)), hAPP(_u11890, _u11893)) = hAPP(c_Fun_Ocomp(_u11889, _u11889, _u11889, hAPP(_u11890, _u11893)), hAPP(_u11890, _u11892))) | ~c_Finite__Set_Ofolding(_u11888, _u11889, _u11890, _u11891) )).
% 27.71/27.95 cnf(matrix-5652, plain, ( ~c_Finite__Set_Ofolding(_u11894, _u11895, _u11896, _u11897) | ( hAPP(c_Fun_Ocomp(_u11898, _u11899, _u11900, _u11901), hAPP(c_Fun_Ocomp(_u11902, _u11898, _u11900, _u11903), _u11904)) = hAPP(c_Fun_Ocomp(_u11902, _u11899, _u11900, hAPP(c_Fun_Ocomp(_u11898, _u11899, _u11902, _u11901), _u11903)), _u11904)) )).
% 27.71/27.95 cnf(matrix-5653, plain, ( ~c_Finite__Set_Ofolding(_u11905, _u11906, _u11907, _u11908) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11905), _u11909)) | ( hAPP(c_Fun_Ocomp(_u11906, _u11906, _u11906, hAPP(_u11907, _u11910)), hAPP(_u11908, _u11909)) = hAPP(c_Fun_Ocomp(_u11906, _u11906, _u11906, hAPP(_u11908, _u11909)), hAPP(_u11907, _u11910))) )).
% 27.71/27.95 cnf(matrix-5654, plain, ( ~c_Finite__Set_Ofolding(_u11911, _u11912, _u11913, _u11914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11911), _u11915)) | ( hAPP(c_Fun_Ocomp(_u11912, _u11912, _u11916, hAPP(_u11913, _u11917)), hAPP(c_Fun_Ocomp(_u11912, _u11912, _u11916, hAPP(_u11914, _u11915)), _u11918)) = hAPP(c_Fun_Ocomp(_u11912, _u11912, _u11916, hAPP(_u11914, _u11915)), hAPP(c_Fun_Ocomp(_u11912, _u11912, _u11916, hAPP(_u11913, _u11917)), _u11918))) )).
% 27.71/27.95 cnf(matrix-5655, plain, ( ~c_Finite__Set_Ofolding(_u11919, _u11920, _u11921, _u11922) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11919), _u11923)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11919), _u11924)) | ( hAPP(c_Fun_Ocomp(_u11920, _u11920, _u11920, hAPP(_u11922, _u11924)), hAPP(_u11922, _u11923)) = hAPP(c_Fun_Ocomp(_u11920, _u11920, _u11920, hAPP(_u11922, _u11923)), hAPP(_u11922, _u11924))) )).
% 27.71/27.95 cnf(matrix-5656, plain, ( ~c_Finite__Set_Ofolding(_u11925, _u11926, _u11927, _u11928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11925), _u11929)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11925), _u11930)) | ( hAPP(c_Fun_Ocomp(_u11926, _u11926, _u11931, hAPP(_u11928, _u11930)), hAPP(c_Fun_Ocomp(_u11926, _u11926, _u11931, hAPP(_u11928, _u11929)), _u11932)) = hAPP(c_Fun_Ocomp(_u11926, _u11926, _u11931, hAPP(_u11928, _u11929)), hAPP(c_Fun_Ocomp(_u11926, _u11926, _u11931, hAPP(_u11928, _u11930)), _u11932))) )).
% 27.71/27.95 cnf(matrix-5657, plain, ( ~c_Finite__Set_Ofolding(_u11933, _u11934, _u11935, _u11936) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11933), _u11937)) | hBOOL(hAPP(hAPP(c_member(_u11933), _u11938), _u11937)) | ( hAPP(_u11936, hAPP(hAPP(c_Set_Oinsert(_u11933), _u11938), _u11937)) = hAPP(c_Fun_Ocomp(_u11934, _u11934, _u11934, hAPP(_u11936, _u11937)), hAPP(_u11935, _u11938))) )).
% 27.71/27.95 cnf(matrix-5658, plain, ( ~class_Groups_Ocomm__monoid__add(_u11941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11942), _u11943)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11946, _u11941), _u11945), hAPP(c_Set_Oimage(_u11942, _u11946, _u11944), _u11943)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11942, _u11941), hAPP(c_Fun_Ocomp(_u11946, _u11941, _u11942, _u11945), _u11944)), _u11943)) | hBOOL(hAPP(hAPP(c_member(_u11942), skolem250(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941)), _u11943)) )).
% 27.71/27.95 cnf(matrix-5659, plain, ( ~class_Groups_Ocomm__monoid__add(_u11941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11942), _u11943)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11946, _u11941), _u11945), hAPP(c_Set_Oimage(_u11942, _u11946, _u11944), _u11943)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11942, _u11941), hAPP(c_Fun_Ocomp(_u11946, _u11941, _u11942, _u11945), _u11944)), _u11943)) | hBOOL(hAPP(hAPP(c_member(_u11942), skolem251(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941)), _u11943)) )).
% 27.71/27.95 cnf(matrix-5660, plain, ( ~class_Groups_Ocomm__monoid__add(_u11941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11942), _u11943)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11946, _u11941), _u11945), hAPP(c_Set_Oimage(_u11942, _u11946, _u11944), _u11943)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11942, _u11941), hAPP(c_Fun_Ocomp(_u11946, _u11941, _u11942, _u11945), _u11944)), _u11943)) | ( skolem250(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941) != skolem251(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941)) )).
% 27.71/27.95 cnf(matrix-5661, plain, ( ~class_Groups_Ocomm__monoid__add(_u11941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11942), _u11943)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11946, _u11941), _u11945), hAPP(c_Set_Oimage(_u11942, _u11946, _u11944), _u11943)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11942, _u11941), hAPP(c_Fun_Ocomp(_u11946, _u11941, _u11942, _u11945), _u11944)), _u11943)) | ( hAPP(_u11944, skolem250(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941)) = hAPP(_u11944, skolem251(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941))) )).
% 27.71/27.95 cnf(matrix-5662, plain, ( ~class_Groups_Ocomm__monoid__add(_u11941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11942), _u11943)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11946, _u11941), _u11945), hAPP(c_Set_Oimage(_u11942, _u11946, _u11944), _u11943)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11942, _u11941), hAPP(c_Fun_Ocomp(_u11946, _u11941, _u11942, _u11945), _u11944)), _u11943)) | ( hAPP(_u11945, hAPP(_u11944, skolem250(_u11946, _u11945, _u11944, _u11943, _u11942, _u11941))) != c_Groups_Ozero__class_Ozero(_u11941)) )).
% 27.71/27.95 cnf(matrix-5663, plain, ( ( c_Random__Sequence_Omap(_u11947, _u11948, _u11949, _u11950) = c_Random__Sequence_Obind(_u11947, _u11948, _u11950, hAPP(c_Fun_Ocomp(_u11948, 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(_u11948)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u11947, c_Random__Sequence_Osingle(_u11948)), _u11949))) )).
% 27.71/27.95 cnf(matrix-5664, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11951), _u11952), _u11953) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11951, tc_fun(tc_fun(_u11951, tc_HOL_Obool), tc_HOL_Obool)), _u11952), hAPP(hAPP(c_COMBC(_u11951, tc_fun(tc_fun(_u11951, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11951, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11951, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u11951, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11951, tc_HOL_Obool), tc_HOL_Obool)), _u11951), c_Set_Oinsert(tc_fun(_u11951, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11951, tc_HOL_Obool), tc_fun(_u11951, tc_HOL_Obool), _u11951), c_Relation_OImage(_u11951, _u11951, _u11953)), hAPP(hAPP(c_COMBC(_u11951, tc_fun(_u11951, tc_HOL_Obool), tc_fun(_u11951, tc_HOL_Obool)), c_Set_Oinsert(_u11951)), c_Orderings_Obot__class_Obot(tc_fun(_u11951, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11951, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 27.71/27.95 cnf(matrix-5665, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11954), c_Orderings_Obot__class_Obot(tc_fun(_u11954, tc_HOL_Obool))), _u11955) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11954, tc_HOL_Obool), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5666, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11959, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11959), _u11961), _u11963)) | ( _u11961 = c_Orderings_Obot__class_Obot(tc_fun(_u11959, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5667, plain, ( ( _u11962 != c_Orderings_Obot__class_Obot(tc_fun(_u11960, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11960, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11960), _u11962), _u11964)) )).
% 27.71/27.95 cnf(matrix-5668, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11968), _u11970), _u11972) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11968, tc_HOL_Obool), tc_HOL_Obool))) | ( _u11970 = c_Orderings_Obot__class_Obot(tc_fun(_u11968, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5669, plain, ( ( _u11971 != c_Orderings_Obot__class_Obot(tc_fun(_u11969, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11969), _u11971), _u11973) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11969, tc_HOL_Obool), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5670, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11974), _u11975), _u11976)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11974, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11974, _u11974, _u11977), hAPP(hAPP(c_Set_Oinsert(_u11974), _u11975), c_Orderings_Obot__class_Obot(tc_fun(_u11974, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11974), _u11976), _u11977))) )).
% 27.71/27.95 cnf(matrix-5671, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11978), hAPP(hAPP(c_Set_Oinsert(_u11978), _u11979), c_Orderings_Obot__class_Obot(tc_fun(_u11978, tc_HOL_Obool)))), _u11980) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11978, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11978, _u11978, _u11980), hAPP(hAPP(c_Set_Oinsert(_u11978), _u11979), c_Orderings_Obot__class_Obot(tc_fun(_u11978, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11978, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5672, plain, ( ~c_Equiv__Relations_Oequiv(_u11981, _u11982, _u11983) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11981, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11981, _u11981, _u11983), hAPP(hAPP(c_Set_Oinsert(_u11981), _u11984), c_Orderings_Obot__class_Obot(tc_fun(_u11981, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11981, _u11981, _u11983), hAPP(hAPP(c_Set_Oinsert(_u11981), _u11985), c_Orderings_Obot__class_Obot(tc_fun(_u11981, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u11981), _u11984), _u11982)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11981, _u11981)), hAPP(hAPP(c_Product__Type_OPair(_u11981, _u11981), _u11985), _u11984)), _u11983)) )).
% 27.71/27.95 cnf(matrix-5673, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11987, tc_HOL_Obool)), _u11988), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11987), _u11989), _u11990))) | ( _u11988 = hAPP(c_Relation_OImage(_u11987, _u11987, _u11990), hAPP(hAPP(c_Set_Oinsert(_u11987), skolem252(_u11990, _u11989, _u11988, _u11987)), c_Orderings_Obot__class_Obot(tc_fun(_u11987, tc_HOL_Obool))))) )).
% 27.71/27.95 cnf(matrix-5674, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11987, tc_HOL_Obool)), _u11988), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11987), _u11989), _u11990))) | hBOOL(hAPP(hAPP(c_member(_u11987), skolem252(_u11990, _u11989, _u11988, _u11987)), _u11989)) )).
% 27.71/27.95 cnf(matrix-5675, plain, ( ~c_Equiv__Relations_Oequiv(_u11991, _u11992, _u11993) | ~hBOOL(hAPP(hAPP(c_member(_u11991), _u11994), _u11992)) | ~hBOOL(hAPP(hAPP(c_member(_u11991), _u11995), _u11992)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11991), hAPP(hAPP(c_Set_Oinsert(_u11991), _u11994), c_Orderings_Obot__class_Obot(tc_fun(_u11991, tc_HOL_Obool)))), _u11993) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11991), hAPP(hAPP(c_Set_Oinsert(_u11991), _u11995), c_Orderings_Obot__class_Obot(tc_fun(_u11991, tc_HOL_Obool)))), _u11993)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11991, _u11991)), hAPP(hAPP(c_Product__Type_OPair(_u11991, _u11991), _u11994), _u11995)), _u11993)) )).
% 27.71/27.95 cnf(matrix-5676, plain, ( ~c_Equiv__Relations_Oequiv(_u11991, _u11992, _u11993) | ~hBOOL(hAPP(hAPP(c_member(_u11991), _u11994), _u11992)) | ~hBOOL(hAPP(hAPP(c_member(_u11991), _u11995), _u11992)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11991, _u11991)), hAPP(hAPP(c_Product__Type_OPair(_u11991, _u11991), _u11994), _u11995)), _u11993)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11991), hAPP(hAPP(c_Set_Oinsert(_u11991), _u11994), c_Orderings_Obot__class_Obot(tc_fun(_u11991, tc_HOL_Obool)))), _u11993) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11991), hAPP(hAPP(c_Set_Oinsert(_u11991), _u11995), c_Orderings_Obot__class_Obot(tc_fun(_u11991, tc_HOL_Obool)))), _u11993)) )).
% 27.71/27.95 cnf(matrix-5677, 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) )).
% 27.71/27.95 cnf(matrix-5678, plain, ( ~c_Equiv__Relations_Oequiv(_u11996, _u11997, _u11998) | ~hBOOL(hAPP(hAPP(c_member(_u11996), _u11999), _u11997)) | hBOOL(hAPP(hAPP(c_member(_u11996), _u11999), hAPP(c_Relation_OImage(_u11996, _u11996, _u11998), hAPP(hAPP(c_Set_Oinsert(_u11996), _u11999), c_Orderings_Obot__class_Obot(tc_fun(_u11996, tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-5679, plain, ( ~c_Equiv__Relations_Oequiv(_u12000, _u12001, _u12002) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12000, _u12000)), hAPP(hAPP(c_Product__Type_OPair(_u12000, _u12000), _u12003), _u12004)), _u12002)) | ( hAPP(c_Relation_OImage(_u12000, _u12000, _u12002), hAPP(hAPP(c_Set_Oinsert(_u12000), _u12003), c_Orderings_Obot__class_Obot(tc_fun(_u12000, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u12000, _u12000, _u12002), hAPP(hAPP(c_Set_Oinsert(_u12000), _u12004), c_Orderings_Obot__class_Obot(tc_fun(_u12000, tc_HOL_Obool))))) )).
% 27.71/27.95 cnf(matrix-5680, plain, ( ~c_Equiv__Relations_Oequiv(_u12005, _u12006, _u12007) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12005, tc_HOL_Obool)), _u12008), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12005), _u12006), _u12007))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12005, tc_HOL_Obool)), _u12009), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12005), _u12006), _u12007))) | ~hBOOL(hAPP(hAPP(c_member(_u12005), _u12010), _u12008)) | ~hBOOL(hAPP(hAPP(c_member(_u12005), _u12011), _u12009)) | ( _u12008 != _u12009) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12005, _u12005)), hAPP(hAPP(c_Product__Type_OPair(_u12005, _u12005), _u12010), _u12011)), _u12007)) )).
% 27.71/27.95 cnf(matrix-5681, plain, ( ~c_Equiv__Relations_Oequiv(_u12005, _u12006, _u12007) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12005, tc_HOL_Obool)), _u12008), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12005), _u12006), _u12007))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12005, tc_HOL_Obool)), _u12009), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12005), _u12006), _u12007))) | ~hBOOL(hAPP(hAPP(c_member(_u12005), _u12010), _u12008)) | ~hBOOL(hAPP(hAPP(c_member(_u12005), _u12011), _u12009)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12005, _u12005)), hAPP(hAPP(c_Product__Type_OPair(_u12005, _u12005), _u12010), _u12011)), _u12007)) | ( _u12008 = _u12009) )).
% 27.71/27.95 cnf(matrix-5682, plain, ( ~c_Equiv__Relations_Oequiv(_u12012, _u12013, _u12014) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12012, tc_HOL_Obool)), _u12015), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12012), _u12013), _u12014))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12012, tc_HOL_Obool)), _u12016), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12012), _u12013), _u12014))) | ~hBOOL(hAPP(hAPP(c_member(_u12012), _u12017), _u12015)) | ~hBOOL(hAPP(hAPP(c_member(_u12012), _u12018), _u12016)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12012, _u12012)), hAPP(hAPP(c_Product__Type_OPair(_u12012, _u12012), _u12017), _u12018)), _u12014)) | ( _u12015 = _u12016) )).
% 27.71/27.95 cnf(matrix-5683, plain, ( ( hAPP(c_Relation_OImage(_u12019, _u12019, _u12020), hAPP(hAPP(c_Set_Oinsert(_u12019), _u12021), c_Orderings_Obot__class_Obot(tc_fun(_u12019, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u12019, _u12019, _u12020), hAPP(hAPP(c_Set_Oinsert(_u12019), _u12022), c_Orderings_Obot__class_Obot(tc_fun(_u12019, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u12019, _u12023, _u12020) | ~hBOOL(hAPP(hAPP(c_member(_u12019), _u12022), _u12023)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12019, _u12019)), hAPP(hAPP(c_Product__Type_OPair(_u12019, _u12019), _u12021), _u12022)), _u12020)) )).
% 27.71/27.95 cnf(matrix-5684, plain, ( ~c_Equiv__Relations_Oequiv(_u12024, _u12025, _u12026) | ~hBOOL(hAPP(hAPP(c_member(_u12024), _u12027), _u12025)) | ~hBOOL(hAPP(hAPP(c_member(_u12024), _u12028), _u12025)) | ( hAPP(c_Relation_OImage(_u12024, _u12024, _u12026), hAPP(hAPP(c_Set_Oinsert(_u12024), _u12027), c_Orderings_Obot__class_Obot(tc_fun(_u12024, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u12024, _u12024, _u12026), hAPP(hAPP(c_Set_Oinsert(_u12024), _u12028), c_Orderings_Obot__class_Obot(tc_fun(_u12024, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12024, _u12024)), hAPP(hAPP(c_Product__Type_OPair(_u12024, _u12024), _u12027), _u12028)), _u12026)) )).
% 27.71/27.95 cnf(matrix-5685, plain, ( ~c_Equiv__Relations_Oequiv(_u12024, _u12025, _u12026) | ~hBOOL(hAPP(hAPP(c_member(_u12024), _u12027), _u12025)) | ~hBOOL(hAPP(hAPP(c_member(_u12024), _u12028), _u12025)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12024, _u12024)), hAPP(hAPP(c_Product__Type_OPair(_u12024, _u12024), _u12027), _u12028)), _u12026)) | ( hAPP(c_Relation_OImage(_u12024, _u12024, _u12026), hAPP(hAPP(c_Set_Oinsert(_u12024), _u12027), c_Orderings_Obot__class_Obot(tc_fun(_u12024, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u12024, _u12024, _u12026), hAPP(hAPP(c_Set_Oinsert(_u12024), _u12028), c_Orderings_Obot__class_Obot(tc_fun(_u12024, tc_HOL_Obool))))) )).
% 27.71/27.95 cnf(matrix-5686, plain, ( ~c_Equiv__Relations_Oequiv(_u12029, _u12030, _u12031) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12029, _u12029)), hAPP(hAPP(c_Product__Type_OPair(_u12029, _u12029), _u12032), _u12033)), _u12031)) | ( hAPP(c_Relation_OImage(_u12029, _u12029, _u12031), hAPP(hAPP(c_Set_Oinsert(_u12029), _u12032), c_Orderings_Obot__class_Obot(tc_fun(_u12029, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u12029, _u12029, _u12031), hAPP(hAPP(c_Set_Oinsert(_u12029), _u12033), c_Orderings_Obot__class_Obot(tc_fun(_u12029, tc_HOL_Obool))))) )).
% 27.71/27.95 cnf(matrix-5687, plain, ( ~c_Equiv__Relations_Oequiv(_u12029, _u12030, _u12031) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12029, _u12029)), hAPP(hAPP(c_Product__Type_OPair(_u12029, _u12029), _u12032), _u12033)), _u12031)) | hBOOL(hAPP(hAPP(c_member(_u12029), _u12032), _u12030)) )).
% 27.71/27.95 cnf(matrix-5688, plain, ( ~c_Equiv__Relations_Oequiv(_u12029, _u12030, _u12031) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12029, _u12029)), hAPP(hAPP(c_Product__Type_OPair(_u12029, _u12029), _u12032), _u12033)), _u12031)) | hBOOL(hAPP(hAPP(c_member(_u12029), _u12033), _u12030)) )).
% 27.71/27.95 cnf(matrix-5689, plain, ( ~c_Equiv__Relations_Oequiv(_u12029, _u12030, _u12031) | ( hAPP(c_Relation_OImage(_u12029, _u12029, _u12031), hAPP(hAPP(c_Set_Oinsert(_u12029), _u12032), c_Orderings_Obot__class_Obot(tc_fun(_u12029, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u12029, _u12029, _u12031), hAPP(hAPP(c_Set_Oinsert(_u12029), _u12033), c_Orderings_Obot__class_Obot(tc_fun(_u12029, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u12029), _u12032), _u12030)) | ~hBOOL(hAPP(hAPP(c_member(_u12029), _u12033), _u12030)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12029, _u12029)), hAPP(hAPP(c_Product__Type_OPair(_u12029, _u12029), _u12032), _u12033)), _u12031)) )).
% 27.71/27.95 cnf(matrix-5690, plain, ( ~c_Equiv__Relations_Oequiv(_u12034, _u12035, _u12036) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12034, _u12034)), hAPP(hAPP(c_Product__Type_OPair(_u12034, _u12034), _u12037), _u12038)), _u12036)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12034, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12034, _u12034, _u12036), hAPP(hAPP(c_Set_Oinsert(_u12034), _u12037), c_Orderings_Obot__class_Obot(tc_fun(_u12034, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u12034, _u12034, _u12036), hAPP(hAPP(c_Set_Oinsert(_u12034), _u12038), c_Orderings_Obot__class_Obot(tc_fun(_u12034, tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-5691, plain, ( ~c_Equiv__Relations_Oequiv(_u12039, _u12040, _u12041) | ~c_Equiv__Relations_Ocongruent(_u12039, tc_fun(_u12042, tc_HOL_Obool), _u12041, _u12043) | ~hBOOL(hAPP(hAPP(c_member(_u12039), _u12044), _u12040)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12039, tc_fun(_u12042, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12039, _u12039, _u12041), hAPP(hAPP(c_Set_Oinsert(_u12039), _u12044), c_Orderings_Obot__class_Obot(tc_fun(_u12039, tc_HOL_Obool))))), _u12043) = hAPP(_u12043, _u12044)) )).
% 27.71/27.95 cnf(matrix-5692, plain, ( ~c_Equiv__Relations_Oequiv(_u12045, _u12046, _u12047) | ~c_Equiv__Relations_Oequiv(_u12048, _u12049, _u12050) | ~c_Equiv__Relations_Ocongruent2(_u12045, _u12048, tc_fun(_u12051, tc_HOL_Obool), _u12047, _u12050, _u12052) | ~hBOOL(hAPP(hAPP(c_member(_u12045), _u12053), _u12046)) | ~hBOOL(hAPP(hAPP(c_member(_u12048), _u12054), _u12049)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12045, tc_fun(_u12051, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12045, _u12045, _u12047), hAPP(hAPP(c_Set_Oinsert(_u12045), _u12053), c_Orderings_Obot__class_Obot(tc_fun(_u12045, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u12048, tc_fun(_u12051, tc_HOL_Obool)), tc_fun(_u12051, tc_HOL_Obool), _u12045), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12048, tc_fun(_u12051, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12048, _u12048, _u12050), hAPP(hAPP(c_Set_Oinsert(_u12048), _u12054), c_Orderings_Obot__class_Obot(tc_fun(_u12048, tc_HOL_Obool)))))), _u12052)) = hAPP(hAPP(_u12052, _u12053), _u12054)) )).
% 27.71/27.95 cnf(matrix-5693, plain, ( ~c_Equiv__Relations_Oequiv(_u12055, _u12056, _u12057) | ~hBOOL(hAPP(hAPP(c_member(_u12055), _u12058), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12055, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12055, _u12055, _u12057), hAPP(hAPP(c_Set_Oinsert(_u12055), _u12059), c_Orderings_Obot__class_Obot(tc_fun(_u12055, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u12055, _u12055, _u12057), hAPP(hAPP(c_Set_Oinsert(_u12055), _u12060), c_Orderings_Obot__class_Obot(tc_fun(_u12055, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12055, _u12055)), hAPP(hAPP(c_Product__Type_OPair(_u12055, _u12055), _u12059), _u12060)), _u12057)) )).
% 27.71/27.95 cnf(matrix-5694, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12061, tc_HOL_Obool)), _u12062), _u12063), _u12064)) | hBOOL(hAPP(_u12062, _u12064)) )).
% 27.71/27.95 cnf(matrix-5695, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12061, tc_HOL_Obool)), _u12062), _u12063), _u12064)) | hBOOL(hAPP(_u12063, _u12064)) )).
% 27.71/27.95 cnf(matrix-5696, plain, ( ~hBOOL(hAPP(_u12065, _u12066)) | ~hBOOL(hAPP(_u12067, _u12066)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12068, tc_HOL_Obool)), _u12065), _u12067), _u12066)) )).
% 27.71/27.95 cnf(matrix-5697, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12069), _u12070), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12069, tc_HOL_Obool)), _u12071), _u12072))) | hBOOL(hAPP(hAPP(c_member(_u12069), _u12070), _u12071)) )).
% 27.71/27.95 cnf(matrix-5698, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12069), _u12070), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12069, tc_HOL_Obool)), _u12071), _u12072))) | hBOOL(hAPP(hAPP(c_member(_u12069), _u12070), _u12072)) )).
% 27.71/27.95 cnf(matrix-5699, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12073), _u12074), _u12075)) | ~hBOOL(hAPP(hAPP(c_member(_u12073), _u12074), _u12076)) | hBOOL(hAPP(hAPP(c_member(_u12073), _u12074), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12073, tc_HOL_Obool)), _u12075), _u12076))) )).
% 27.71/27.95 cnf(matrix-5700, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12077), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12077, tc_HOL_Obool)), _u12078), _u12079))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12077), _u12078)) )).
% 27.71/27.95 cnf(matrix-5701, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12077), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12077, tc_HOL_Obool)), _u12078), _u12079))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12077), _u12079)) )).
% 27.71/27.95 cnf(matrix-5702, plain, ( ~class_Lattices_Olattice(_u12080) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12080), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12080), _u12081), _u12082)), _u12081)) )).
% 27.71/27.95 cnf(matrix-5703, plain, ( ~class_Lattices_Osemilattice__inf(_u12083) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12083), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12083), _u12084), _u12085)), _u12084)) )).
% 27.71/27.95 cnf(matrix-5704, plain, ( ~class_Lattices_Olattice(_u12086) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12086), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12086), _u12087), _u12088)), _u12088)) )).
% 27.71/27.95 cnf(matrix-5705, plain, ( ~class_Lattices_Osemilattice__inf(_u12089) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12089), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12089), _u12090), _u12091)), _u12091)) )).
% 27.71/27.95 cnf(matrix-5706, plain, ( ~class_Lattices_Osemilattice__inf(_u12092) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12092), _u12093), _u12094)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12092), _u12093), _u12094) = _u12093) )).
% 27.71/27.95 cnf(matrix-5707, plain, ( ~class_Lattices_Osemilattice__inf(_u12092) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12092), _u12093), _u12094) != _u12093) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12092), _u12093), _u12094)) )).
% 27.71/27.95 cnf(matrix-5708, plain, ( ~class_Lattices_Osemilattice__inf(_u12095) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12095), _u12097), _u12098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), _u12097)) )).
% 27.71/27.95 cnf(matrix-5709, plain, ( ~class_Lattices_Osemilattice__inf(_u12095) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12095), _u12097), _u12098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), _u12098)) )).
% 27.71/27.95 cnf(matrix-5710, plain, ( ~class_Lattices_Osemilattice__inf(_u12095) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), _u12097)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), _u12098)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12095), _u12096), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12095), _u12097), _u12098))) )).
% 27.71/27.95 cnf(matrix-5711, plain, ( ~class_Lattices_Osemilattice__inf(_u12099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12099), _u12100), _u12101)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12099), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12099), _u12100), _u12102)), _u12101)) )).
% 27.71/27.95 cnf(matrix-5712, plain, ( ~class_Lattices_Osemilattice__inf(_u12103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12103), _u12104), _u12105)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12103), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12103), _u12106), _u12104)), _u12105)) )).
% 27.71/27.95 cnf(matrix-5713, plain, ( ~class_Lattices_Osemilattice__inf(_u12107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12107), _u12108), _u12109)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12107), _u12108), _u12109) = _u12108) )).
% 27.71/27.95 cnf(matrix-5714, plain, ( ~class_Lattices_Osemilattice__inf(_u12110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12110), _u12111), _u12112)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12110), _u12112), _u12111) = _u12111) )).
% 27.71/27.95 cnf(matrix-5715, plain, ( ~class_Lattices_Osemilattice__inf(_u12113) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12113), _u12114), _u12115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12113), _u12114), _u12116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12113), _u12114), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12113), _u12115), _u12116))) )).
% 27.71/27.95 cnf(matrix-5716, plain, ( ~class_Lattices_Osemilattice__inf(_u12117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12117), _u12118), _u12119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12117), _u12118), _u12120)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12117), _u12118), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12117), _u12119), _u12120))) )).
% 27.71/27.95 cnf(matrix-5717, plain, ( ~class_Lattices_Osemilattice__inf(_u12121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12121), _u12122), _u12123)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12121), _u12124), _u12125)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12121), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12121), _u12122), _u12124)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12121), _u12123), _u12125))) )).
% 27.71/27.95 cnf(matrix-5718, plain, ( ~class_Lattices_Osemilattice__inf(_u12126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12126), _u12127), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12126), _u12128), _u12129))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12126), _u12127), _u12128)) )).
% 27.71/27.95 cnf(matrix-5719, plain, ( ~class_Lattices_Osemilattice__inf(_u12126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12126), _u12127), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12126), _u12128), _u12129))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12126), _u12127), _u12129)) )).
% 27.71/27.95 cnf(matrix-5720, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12130, tc_HOL_Obool)), _u12131), _u12132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12130, tc_HOL_Obool)), _u12133), _u12134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12130, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12130, tc_HOL_Obool)), _u12131), _u12133)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12130, tc_HOL_Obool)), _u12132), _u12134))) )).
% 27.71/27.95 cnf(matrix-5721, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12135, tc_HOL_Obool)), _u12136), _u12137)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12135, tc_HOL_Obool)), _u12136), _u12138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12135, tc_HOL_Obool)), _u12136), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12135, tc_HOL_Obool)), _u12137), _u12138))) )).
% 27.71/27.95 cnf(matrix-5722, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12139, tc_HOL_Obool)), _u12140), _u12141)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12139, tc_HOL_Obool)), _u12141), _u12140) = _u12140) )).
% 27.71/27.95 cnf(matrix-5723, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12142, tc_HOL_Obool)), _u12143), _u12144)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12142, tc_HOL_Obool)), _u12143), _u12144) = _u12143) )).
% 27.71/27.95 cnf(matrix-5724, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12145, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12145, tc_HOL_Obool)), _u12146), _u12147)), _u12147)) )).
% 27.71/27.95 cnf(matrix-5725, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12148, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12148, tc_HOL_Obool)), _u12149), _u12150)), _u12149)) )).
% 27.71/27.95 cnf(matrix-5726, plain, ( ~class_Lattices_Obounded__lattice__top(_u12151) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12151), c_Orderings_Otop__class_Otop(_u12151)), _u12152) = _u12152) )).
% 27.71/27.95 cnf(matrix-5727, plain, ( ~class_Lattices_Obounded__lattice__top(_u12153) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12153), _u12154), c_Orderings_Otop__class_Otop(_u12153)) = _u12154) )).
% 27.71/27.95 cnf(matrix-5728, plain, ( ~class_Lattices_Obounded__lattice__top(_u12155) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12155), _u12156), _u12157) != c_Orderings_Otop__class_Otop(_u12155)) | ( _u12156 = c_Orderings_Otop__class_Otop(_u12155)) )).
% 27.71/27.95 cnf(matrix-5729, plain, ( ~class_Lattices_Obounded__lattice__top(_u12155) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12155), _u12156), _u12157) != c_Orderings_Otop__class_Otop(_u12155)) | ( _u12157 = c_Orderings_Otop__class_Otop(_u12155)) )).
% 27.71/27.95 cnf(matrix-5730, plain, ( ~class_Lattices_Obounded__lattice__top(_u12155) | ( _u12156 != c_Orderings_Otop__class_Otop(_u12155)) | ( _u12157 != c_Orderings_Otop__class_Otop(_u12155)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12155), _u12156), _u12157) = c_Orderings_Otop__class_Otop(_u12155)) )).
% 27.71/27.95 cnf(matrix-5731, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12158, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12158, tc_HOL_Obool))), _u12159) = _u12159) )).
% 27.71/27.95 cnf(matrix-5732, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12160, tc_HOL_Obool)), _u12161), c_Orderings_Otop__class_Otop(tc_fun(_u12160, tc_HOL_Obool))) = _u12161) )).
% 27.71/27.95 cnf(matrix-5733, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12166, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12166, tc_fun(_u12166, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12166)), _u12168)), hAPP(hAPP(c_COMBC(_u12166, tc_fun(_u12166, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12166)), _u12170)), _u12172)) | hBOOL(hAPP(hAPP(c_member(_u12166), _u12172), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12166, tc_HOL_Obool)), _u12168), _u12170))) )).
% 27.71/27.95 cnf(matrix-5734, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12167), _u12173), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12167, tc_HOL_Obool)), _u12169), _u12171))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12167, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12167, tc_fun(_u12167, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12167)), _u12169)), hAPP(hAPP(c_COMBC(_u12167, tc_fun(_u12167, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12167)), _u12171)), _u12173)) )).
% 27.71/27.95 cnf(matrix-5735, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12174), _u12175), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12174, tc_HOL_Obool)), _u12176), _u12177))) | hBOOL(hAPP(hAPP(c_member(_u12174), _u12175), _u12177)) )).
% 27.71/27.95 cnf(matrix-5736, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12178), _u12179), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12178, tc_HOL_Obool)), _u12180), _u12181))) | hBOOL(hAPP(hAPP(c_member(_u12178), _u12179), _u12180)) )).
% 27.71/27.95 cnf(matrix-5737, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12186), _u12188), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12186, tc_HOL_Obool)), _u12190), _u12192))) | hBOOL(hAPP(hAPP(c_member(_u12186), _u12188), _u12190)) )).
% 27.71/27.95 cnf(matrix-5738, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12186), _u12188), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12186, tc_HOL_Obool)), _u12190), _u12192))) | hBOOL(hAPP(hAPP(c_member(_u12186), _u12188), _u12192)) )).
% 27.71/27.95 cnf(matrix-5739, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12187), _u12189), _u12191)) | ~hBOOL(hAPP(hAPP(c_member(_u12187), _u12189), _u12193)) | hBOOL(hAPP(hAPP(c_member(_u12187), _u12189), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12187, tc_HOL_Obool)), _u12191), _u12193))) )).
% 27.71/27.95 cnf(matrix-5740, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12194, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12194, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12194, tc_HOL_Obool)), _u12195), _u12196)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12194, tc_HOL_Obool)), _u12196), _u12197))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12194, tc_HOL_Obool)), _u12197), _u12195)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12194, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12194, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12194, tc_HOL_Obool)), _u12195), _u12196)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12194, tc_HOL_Obool)), _u12196), _u12197))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12194, tc_HOL_Obool)), _u12197), _u12195))) )).
% 27.71/27.95 cnf(matrix-5741, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12198, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12198, tc_HOL_Obool)), _u12199), _u12200)), _u12201) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12198, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12198, tc_HOL_Obool)), _u12199), _u12201)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12198, tc_HOL_Obool)), _u12200), _u12201))) )).
% 27.71/27.95 cnf(matrix-5742, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12202, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12202, tc_HOL_Obool)), _u12203), _u12204)), _u12205) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12202, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12202, tc_HOL_Obool)), _u12203), _u12205)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12202, tc_HOL_Obool)), _u12204), _u12205))) )).
% 27.71/27.95 cnf(matrix-5743, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12206, tc_HOL_Obool)), _u12207), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12206, tc_HOL_Obool)), _u12208), _u12209)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12206, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12206, tc_HOL_Obool)), _u12207), _u12208)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12206, tc_HOL_Obool)), _u12207), _u12209))) )).
% 27.71/27.95 cnf(matrix-5744, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12210, tc_HOL_Obool)), _u12211), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12210, tc_HOL_Obool)), _u12212), _u12213)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12210, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12210, tc_HOL_Obool)), _u12211), _u12212)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12210, tc_HOL_Obool)), _u12211), _u12213))) )).
% 27.71/27.95 cnf(matrix-5745, plain, ( ~class_Lattices_Odistrib__lattice(_u12214) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12214), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12214), _u12215), _u12216)), _u12217) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12214), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12214), _u12215), _u12217)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12214), _u12216), _u12217))) )).
% 27.71/27.95 cnf(matrix-5746, plain, ( ~class_Lattices_Odistrib__lattice(_u12218) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12218), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12218), _u12219), _u12220)), _u12221) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12218), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12218), _u12219), _u12221)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12218), _u12220), _u12221))) )).
% 27.71/27.95 cnf(matrix-5747, plain, ( ~class_Lattices_Odistrib__lattice(_u12222) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12222), _u12223), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12222), _u12224), _u12225)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12222), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12222), _u12223), _u12224)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12222), _u12223), _u12225))) )).
% 27.71/27.95 cnf(matrix-5748, plain, ( ~class_Lattices_Odistrib__lattice(_u12226) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12226), _u12227), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12226), _u12228), _u12229)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12226), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12226), _u12227), _u12228)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12226), _u12227), _u12229))) )).
% 27.71/27.95 cnf(matrix-5749, plain, ( ~class_Lattices_Olattice(_u12230) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12230), _u12231), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12230), _u12231), _u12232)) = _u12231) )).
% 27.71/27.95 cnf(matrix-5750, plain, ( ~class_Lattices_Olattice(_u12233) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12233), _u12234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12233), _u12234), _u12235)) = _u12234) )).
% 27.71/27.95 cnf(matrix-5751, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12243, tc_HOL_Obool)), _u12245), _u12247) != c_Orderings_Obot__class_Obot(tc_fun(_u12243, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12243), _u12237), _u12245)) | ~hBOOL(hAPP(hAPP(c_member(_u12243), _u12236), _u12247)) | ( _u12237 != _u12236) )).
% 27.71/27.95 cnf(matrix-5752, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12244, tc_HOL_Obool)), _u12246), _u12248) = c_Orderings_Obot__class_Obot(tc_fun(_u12244, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12244), skolem253(_u12248, _u12246, _u12244)), _u12246)) )).
% 27.71/27.95 cnf(matrix-5753, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12244, tc_HOL_Obool)), _u12246), _u12248) = c_Orderings_Obot__class_Obot(tc_fun(_u12244, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12244), skolem254(_u12248, _u12246, _u12244)), _u12248)) )).
% 27.71/27.95 cnf(matrix-5754, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12244, tc_HOL_Obool)), _u12246), _u12248) = c_Orderings_Obot__class_Obot(tc_fun(_u12244, tc_HOL_Obool))) | ( skolem253(_u12248, _u12246, _u12244) = skolem254(_u12248, _u12246, _u12244)) )).
% 27.71/27.95 cnf(matrix-5755, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12249, tc_HOL_Obool)), _u12250), c_Orderings_Obot__class_Obot(tc_fun(_u12249, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12249, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5756, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12251, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12251, tc_HOL_Obool))), _u12252) = c_Orderings_Obot__class_Obot(tc_fun(_u12251, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5757, plain, ( ~class_Lattices_Obounded__lattice__bot(_u12253) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12253), _u12254), c_Orderings_Obot__class_Obot(_u12253)) = c_Orderings_Obot__class_Obot(_u12253)) )).
% 27.71/27.95 cnf(matrix-5758, plain, ( ~class_Lattices_Obounded__lattice__bot(_u12255) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12255), c_Orderings_Obot__class_Obot(_u12255)), _u12256) = c_Orderings_Obot__class_Obot(_u12255)) )).
% 27.71/27.95 cnf(matrix-5759, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12257, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12257), _u12258), _u12259)), hAPP(hAPP(c_Set_Oinsert(_u12257), _u12258), _u12260)) = hAPP(hAPP(c_Set_Oinsert(_u12257), _u12258), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12257, tc_HOL_Obool)), _u12259), _u12260))) )).
% 27.71/27.95 cnf(matrix-5760, plain, ( ( c_Map_Orestrict__map(_u12261, _u12262, c_Map_Orestrict__map(_u12261, _u12262, _u12263, _u12264), _u12265) = c_Map_Orestrict__map(_u12261, _u12262, _u12263, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12261, tc_HOL_Obool)), _u12264), _u12265))) )).
% 27.71/27.95 cnf(matrix-5761, plain, ( ~c_Nat__Transfer_Onat__set(_u12266) | ~c_Nat__Transfer_Onat__set(_u12267) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12266), _u12267)) )).
% 27.71/27.95 cnf(matrix-5762, plain, ( hBOOL(hAPP(_u12270, _u12271)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12268, tc_HOL_Obool)), _u12269), _u12270), _u12271)) )).
% 27.71/27.95 cnf(matrix-5763, plain, ( hBOOL(hAPP(_u12273, _u12275)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12272, tc_HOL_Obool)), _u12273), _u12274), _u12275)) )).
% 27.71/27.95 cnf(matrix-5764, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12276, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12276, tc_HOL_Obool)), _u12277), _u12278)), _u12279) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12276, tc_HOL_Obool)), _u12277), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12276, tc_HOL_Obool)), _u12278), _u12279))) )).
% 27.71/27.95 cnf(matrix-5765, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12280, tc_HOL_Obool)), _u12281), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12280, tc_HOL_Obool)), _u12282), _u12283)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12280, tc_HOL_Obool)), _u12282), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12280, tc_HOL_Obool)), _u12281), _u12283))) )).
% 27.71/27.95 cnf(matrix-5766, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12284, tc_HOL_Obool)), _u12285), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12284, tc_HOL_Obool)), _u12285), _u12286)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12284, tc_HOL_Obool)), _u12285), _u12286)) )).
% 27.71/27.95 cnf(matrix-5767, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12287, tc_HOL_Obool)), _u12288), _u12289) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12287, tc_HOL_Obool)), _u12289), _u12288)) )).
% 27.71/27.95 cnf(matrix-5768, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12290, tc_HOL_Obool)), _u12291), _u12291) = _u12291) )).
% 27.71/27.95 cnf(matrix-5769, plain, ( ~class_Lattices_Olattice(_u12292) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12293, _u12292)), _u12294), _u12295), _u12296) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12292), hAPP(_u12294, _u12296)), hAPP(_u12295, _u12296))) )).
% 27.71/27.95 cnf(matrix-5770, plain, ( ~class_Lattices_Osemilattice__inf(_u12297) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12297), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12297), _u12298), _u12299)), _u12300) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12297), _u12298), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12297), _u12299), _u12300))) )).
% 27.71/27.95 cnf(matrix-5771, plain, ( ~class_Lattices_Olattice(_u12301) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12301), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12301), _u12302), _u12303)), _u12304) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12301), _u12302), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12301), _u12303), _u12304))) )).
% 27.71/27.95 cnf(matrix-5772, plain, ( ~class_Lattices_Osemilattice__inf(_u12305) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12305), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12305), _u12306), _u12307)), _u12308) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12305), _u12306), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12305), _u12307), _u12308))) )).
% 27.71/27.95 cnf(matrix-5773, plain, ( ~class_Lattices_Osemilattice__inf(_u12309) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12309), _u12310), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12309), _u12311), _u12312)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12309), _u12311), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12309), _u12310), _u12312))) )).
% 27.71/27.95 cnf(matrix-5774, plain, ( ~class_Lattices_Olattice(_u12313) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12313), _u12314), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12313), _u12315), _u12316)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12313), _u12315), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12313), _u12314), _u12316))) )).
% 27.71/27.95 cnf(matrix-5775, plain, ( ~class_Lattices_Osemilattice__inf(_u12317) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12317), _u12318), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12317), _u12319), _u12320)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12317), _u12319), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12317), _u12318), _u12320))) )).
% 27.71/27.95 cnf(matrix-5776, plain, ( ~class_Lattices_Osemilattice__inf(_u12321) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12321), _u12322), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12321), _u12322), _u12323)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12321), _u12322), _u12323)) )).
% 27.71/27.95 cnf(matrix-5777, plain, ( ~class_Lattices_Olattice(_u12324) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12324), _u12325), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12324), _u12325), _u12326)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12324), _u12325), _u12326)) )).
% 27.71/27.95 cnf(matrix-5778, plain, ( ~class_Lattices_Osemilattice__inf(_u12327) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12327), _u12328), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12327), _u12328), _u12329)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12327), _u12328), _u12329)) )).
% 27.71/27.95 cnf(matrix-5779, plain, ( ~class_Lattices_Osemilattice__inf(_u12330) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12330), _u12331), _u12332) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12330), _u12332), _u12331)) )).
% 27.71/27.95 cnf(matrix-5780, plain, ( ~class_Lattices_Olattice(_u12333) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12333), _u12334), _u12335) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12333), _u12335), _u12334)) )).
% 27.71/27.95 cnf(matrix-5781, plain, ( ~class_Lattices_Osemilattice__inf(_u12336) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12336), _u12337), _u12338) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12336), _u12338), _u12337)) )).
% 27.71/27.95 cnf(matrix-5782, plain, ( ~class_Lattices_Osemilattice__inf(_u12339) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12339), _u12340), _u12340) = _u12340) )).
% 27.71/27.95 cnf(matrix-5783, plain, ( ~class_Lattices_Osemilattice__inf(_u12341) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12341), _u12342), _u12342) = _u12342) )).
% 27.71/27.95 cnf(matrix-5784, plain, ( ~class_Lattices_Olattice(_u12343) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12344, _u12343)), _u12345), _u12346), _u12347) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12343), hAPP(_u12345, _u12347)), hAPP(_u12346, _u12347))) )).
% 27.71/27.95 cnf(matrix-5785, plain, ( ~class_Lattices_Osemilattice__inf(_u12348) | ~class_Orderings_Olinorder(_u12348) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u12348) = c_Orderings_Oord__class_Omin(_u12348)) )).
% 27.71/27.95 cnf(matrix-5786, plain, ( ~class_Lattices_Olattice(_u12349) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12349), _u12350), _u12350) = _u12350) )).
% 27.71/27.95 cnf(matrix-5787, plain, ( ~class_Lattices_Osemilattice__inf(_u12351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12351), _u12352), _u12353)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12351), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12351), _u12352), _u12354)), _u12353)) )).
% 27.71/27.95 cnf(matrix-5788, plain, ( ~class_Lattices_Osemilattice__inf(_u12355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12355), _u12356), _u12357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12355), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12355), _u12358), _u12356)), _u12357)) )).
% 27.71/27.95 cnf(matrix-5789, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12359, tc_HOL_Obool)), _u12360), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12359, tc_HOL_Obool)), _u12361), _u12362)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12359, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12359, tc_HOL_Obool)), _u12360), _u12361)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12359, tc_HOL_Obool)), _u12360), _u12362))) )).
% 27.71/27.95 cnf(matrix-5790, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12363, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12363, tc_HOL_Obool)), _u12364), _u12365)), _u12366) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12363, tc_HOL_Obool)), _u12364), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12363, tc_HOL_Obool)), _u12365), _u12366))) )).
% 27.71/27.95 cnf(matrix-5791, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12367, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12367, tc_HOL_Obool)), _u12368), _u12369)), _u12370) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12367, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12367, tc_HOL_Obool)), _u12368), _u12370)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12367, tc_HOL_Obool)), _u12369), _u12370))) )).
% 27.71/27.95 cnf(matrix-5792, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12371, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12371, tc_HOL_Obool)), _u12372), _u12373)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12371, tc_HOL_Obool)), _u12374), _u12373)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12371, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12371, tc_HOL_Obool)), _u12372), _u12373)), _u12374)) )).
% 27.71/27.95 cnf(matrix-5793, plain, ( ( hAPP(c_Set_OPow(_u12375), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12375, tc_HOL_Obool)), _u12376), _u12377)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u12375, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u12375), _u12376)), hAPP(c_Set_OPow(_u12375), _u12377))) )).
% 27.71/27.95 cnf(matrix-5794, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12378, tc_fun(_u12379, tc_HOL_Obool)), _u12380), hAPP(hAPP(c_COMBB(tc_fun(_u12379, tc_HOL_Obool), tc_fun(_u12379, tc_HOL_Obool), _u12378), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12379, tc_HOL_Obool)), _u12381)), _u12382)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12379, tc_HOL_Obool)), _u12381), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12378, tc_fun(_u12379, tc_HOL_Obool)), _u12380), _u12382))) )).
% 27.71/27.95 cnf(matrix-5795, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12383, tc_fun(_u12384, tc_HOL_Obool)), _u12385), hAPP(hAPP(c_COMBC(_u12383, tc_fun(_u12384, tc_HOL_Obool), tc_fun(_u12384, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12384, tc_HOL_Obool), tc_fun(tc_fun(_u12384, tc_HOL_Obool), tc_fun(_u12384, tc_HOL_Obool)), _u12383), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12384, tc_HOL_Obool))), _u12386)), _u12387)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12384, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12383, tc_fun(_u12384, tc_HOL_Obool)), _u12385), _u12386)), _u12387)) )).
% 27.71/27.95 cnf(matrix-5796, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12388, tc_HOL_Obool)), _u12389), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12390, tc_fun(_u12388, tc_HOL_Obool)), _u12391), _u12392)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12390, tc_fun(_u12388, tc_HOL_Obool)), _u12391), hAPP(hAPP(c_COMBB(tc_fun(_u12388, tc_HOL_Obool), tc_fun(_u12388, tc_HOL_Obool), _u12390), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12388, tc_HOL_Obool)), _u12389)), _u12392))) )).
% 27.71/27.95 cnf(matrix-5797, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12393, tc_HOL_Obool)), _u12394), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12395, tc_fun(_u12393, tc_HOL_Obool)), _u12396), _u12397)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12395, tc_fun(_u12393, tc_HOL_Obool)), _u12396), hAPP(hAPP(c_COMBB(tc_fun(_u12393, tc_HOL_Obool), tc_fun(_u12393, tc_HOL_Obool), _u12395), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12393, tc_HOL_Obool)), _u12394)), _u12397))) )).
% 27.71/27.95 cnf(matrix-5798, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12398, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12399, tc_fun(_u12398, tc_HOL_Obool)), _u12400), _u12401)), _u12402) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12399, tc_fun(_u12398, tc_HOL_Obool)), _u12400), hAPP(hAPP(c_COMBC(_u12399, tc_fun(_u12398, tc_HOL_Obool), tc_fun(_u12398, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12398, tc_HOL_Obool), tc_fun(tc_fun(_u12398, tc_HOL_Obool), tc_fun(_u12398, tc_HOL_Obool)), _u12399), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12398, tc_HOL_Obool))), _u12401)), _u12402))) )).
% 27.71/27.95 cnf(matrix-5799, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12403, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12404, tc_fun(_u12403, tc_HOL_Obool)), _u12405), _u12406)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12407, tc_fun(_u12403, tc_HOL_Obool)), _u12408), _u12409)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12404, tc_fun(_u12403, tc_HOL_Obool)), _u12405), hAPP(hAPP(c_COMBB(tc_fun(_u12407, tc_fun(_u12403, tc_HOL_Obool)), tc_fun(_u12403, tc_HOL_Obool), _u12404), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12407, tc_fun(_u12403, tc_HOL_Obool)), _u12408)), hAPP(hAPP(c_COMBC(_u12404, tc_fun(_u12407, tc_fun(_u12403, tc_HOL_Obool)), tc_fun(_u12407, tc_fun(_u12403, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12403, tc_HOL_Obool), tc_fun(_u12403, tc_HOL_Obool)), tc_fun(tc_fun(_u12407, tc_fun(_u12403, tc_HOL_Obool)), tc_fun(_u12407, tc_fun(_u12403, tc_HOL_Obool))), _u12404), c_COMBB(tc_fun(_u12403, tc_HOL_Obool), tc_fun(_u12403, tc_HOL_Obool), _u12407)), hAPP(hAPP(c_COMBB(tc_fun(_u12403, tc_HOL_Obool), tc_fun(tc_fun(_u12403, tc_HOL_Obool), tc_fun(_u12403, tc_HOL_Obool)), _u12404), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12403, tc_HOL_Obool))), _u12406))), _u12409)))) )).
% 27.71/27.95 cnf(matrix-5800, plain, ( ~class_Lattices_Olattice(_u12410) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12410), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12410), _u12411), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12410), _u12412), _u12413))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12410), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12410), _u12411), _u12412)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12410), _u12411), _u12413)))) )).
% 27.71/27.95 cnf(matrix-5801, plain, ( ~class_Lattices_Olattice(_u12414) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12414), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12414), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12414), _u12415), _u12416)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12414), _u12415), _u12417))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12414), _u12415), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12414), _u12416), _u12417)))) )).
% 27.71/27.95 cnf(matrix-5802, plain, ( ~class_Lattices_Oboolean__algebra(_u12418) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12418), hAPP(c_Groups_Ouminus__class_Ouminus(_u12418), _u12419)), _u12419) = c_Orderings_Obot__class_Obot(_u12418)) )).
% 27.71/27.95 cnf(matrix-5803, plain, ( ~class_Lattices_Oboolean__algebra(_u12420) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12420), _u12421), hAPP(c_Groups_Ouminus__class_Ouminus(_u12420), _u12421)) = c_Orderings_Obot__class_Obot(_u12420)) )).
% 27.71/27.95 cnf(matrix-5804, plain, ( ~class_Lattices_Oboolean__algebra(_u12422) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12422), _u12423), _u12424) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12422), _u12423), hAPP(c_Groups_Ouminus__class_Ouminus(_u12422), _u12424))) )).
% 27.71/27.95 cnf(matrix-5805, plain, ( ~class_Lattices_Oboolean__algebra(_u12425) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12425), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12425), _u12426), _u12427)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12425), hAPP(c_Groups_Ouminus__class_Ouminus(_u12425), _u12426)), hAPP(c_Groups_Ouminus__class_Ouminus(_u12425), _u12427))) )).
% 27.71/27.95 cnf(matrix-5806, plain, ( ~class_Lattices_Oboolean__algebra(_u12428) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12428), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12428), _u12429), _u12430)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12428), hAPP(c_Groups_Ouminus__class_Ouminus(_u12428), _u12429)), hAPP(c_Groups_Ouminus__class_Ouminus(_u12428), _u12430))) )).
% 27.71/27.95 cnf(matrix-5807, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12435), _u12437), _u12439)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12435, tc_HOL_Obool)), _u12439), hAPP(hAPP(c_Set_Oinsert(_u12435), _u12437), _u12441)) = hAPP(hAPP(c_Set_Oinsert(_u12435), _u12437), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12435, tc_HOL_Obool)), _u12439), _u12441))) )).
% 27.71/27.95 cnf(matrix-5808, plain, ( hBOOL(hAPP(hAPP(c_member(_u12436), _u12438), _u12440)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12436, tc_HOL_Obool)), _u12440), hAPP(hAPP(c_Set_Oinsert(_u12436), _u12438), _u12442)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12436, tc_HOL_Obool)), _u12440), _u12442)) )).
% 27.71/27.95 cnf(matrix-5809, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12447), _u12449), _u12451)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12447, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12447), _u12449), _u12453)), _u12451) = hAPP(hAPP(c_Set_Oinsert(_u12447), _u12449), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12447, tc_HOL_Obool)), _u12453), _u12451))) )).
% 27.71/27.95 cnf(matrix-5810, plain, ( hBOOL(hAPP(hAPP(c_member(_u12448), _u12450), _u12452)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12448, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12448), _u12450), _u12454)), _u12452) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12448, tc_HOL_Obool)), _u12454), _u12452)) )).
% 27.71/27.95 cnf(matrix-5811, plain, ( hBOOL(hAPP(hAPP(c_member(_u12455), _u12456), _u12457)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12455, tc_HOL_Obool)), _u12457), hAPP(hAPP(c_Set_Oinsert(_u12455), _u12456), _u12458)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12455, tc_HOL_Obool)), _u12457), _u12458)) )).
% 27.71/27.95 cnf(matrix-5812, plain, ( hBOOL(hAPP(hAPP(c_member(_u12459), _u12460), _u12461)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12459, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12459), _u12460), _u12462)), _u12461) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12459, tc_HOL_Obool)), _u12462), _u12461)) )).
% 27.71/27.95 cnf(matrix-5813, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12463), _u12464), _u12465)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12463, tc_HOL_Obool)), _u12465), hAPP(hAPP(c_Set_Oinsert(_u12463), _u12464), _u12466)) = hAPP(hAPP(c_Set_Oinsert(_u12463), _u12464), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12463, tc_HOL_Obool)), _u12465), _u12466))) )).
% 27.71/27.95 cnf(matrix-5814, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12467), _u12468), _u12469)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12467, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12467), _u12468), _u12470)), _u12469) = hAPP(hAPP(c_Set_Oinsert(_u12467), _u12468), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12467, tc_HOL_Obool)), _u12470), _u12469))) )).
% 27.71/27.95 cnf(matrix-5815, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12471, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12472, _u12471, _u12473), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12472, tc_HOL_Obool)), _u12474), _u12475))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12471, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12472, _u12471, _u12473), _u12474)), hAPP(c_Set_Oimage(_u12472, _u12471, _u12473), _u12475)))) )).
% 27.71/27.95 cnf(matrix-5816, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12476, tc_HOL_Obool)), _u12477), _u12478) != c_Orderings_Obot__class_Obot(tc_fun(_u12476, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12476, tc_HOL_Obool)), _u12477), _u12478) = _u12477) )).
% 27.71/27.95 cnf(matrix-5817, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12479, tc_HOL_Obool)), _u12480), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12479, tc_HOL_Obool)), _u12481), _u12480)) = c_Orderings_Obot__class_Obot(tc_fun(_u12479, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5818, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12486, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12486, tc_HOL_Obool)), _u12488), _u12490)), _u12492) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12486, tc_HOL_Obool)), _u12488), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12486, tc_HOL_Obool)), _u12490), _u12492))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12486, tc_HOL_Obool)), _u12492), _u12488)) )).
% 27.71/27.95 cnf(matrix-5819, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12487, tc_HOL_Obool)), _u12493), _u12489)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12487, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12487, tc_HOL_Obool)), _u12489), _u12491)), _u12493) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12487, tc_HOL_Obool)), _u12489), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12487, tc_HOL_Obool)), _u12491), _u12493))) )).
% 27.71/27.95 cnf(matrix-5820, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12494, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12494, tc_HOL_Obool)), _u12495), _u12496)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12494, tc_HOL_Obool)), _u12495), _u12496)) = _u12495) )).
% 27.71/27.95 cnf(matrix-5821, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12497, tc_HOL_Obool)), _u12498), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12497, tc_HOL_Obool)), _u12499), _u12500)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12497, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12497, tc_HOL_Obool)), _u12498), _u12499)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12497, tc_HOL_Obool)), _u12498), _u12500))) )).
% 27.71/27.95 cnf(matrix-5822, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12501, tc_HOL_Obool)), _u12502), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12501, tc_HOL_Obool)), _u12503), _u12504)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12501, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12501, tc_HOL_Obool)), _u12502), _u12503)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12501, tc_HOL_Obool)), _u12502), _u12504))) )).
% 27.71/27.95 cnf(matrix-5823, plain, ( ~class_Orderings_Oorder(_u12505) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12505, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12505, _u12506), _u12507)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12505, _u12507), _u12508)) = c_Orderings_Obot__class_Obot(tc_fun(_u12505, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5824, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u12509), _u12510) = 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)), _u12509)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12510)))) )).
% 27.71/27.95 cnf(matrix-5825, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12511, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12511, tc_HOL_Obool)), _u12512)), _u12512) = c_Orderings_Obot__class_Obot(tc_fun(_u12511, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5826, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12513, tc_HOL_Obool)), _u12514), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12513, tc_HOL_Obool)), _u12514)) = c_Orderings_Obot__class_Obot(tc_fun(_u12513, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5827, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12515, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12516, _u12515, _u12517), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12516, tc_HOL_Obool)), _u12518), _u12519))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12515, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12516, _u12515, _u12517), _u12518)), hAPP(c_Relation_OImage(_u12516, _u12515, _u12517), _u12519)))) )).
% 27.71/27.95 cnf(matrix-5828, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12520, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12520, tc_HOL_Obool)), _u12521), _u12522)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12520, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12520, tc_HOL_Obool)), _u12521)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12520, tc_HOL_Obool)), _u12522))) )).
% 27.71/27.95 cnf(matrix-5829, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12523, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12523, tc_HOL_Obool)), _u12524), _u12525)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12523, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12523, tc_HOL_Obool)), _u12524)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12523, tc_HOL_Obool)), _u12525))) )).
% 27.71/27.95 cnf(matrix-5830, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12526, tc_HOL_Obool)), _u12527), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12526, tc_HOL_Obool)), _u12528)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12526, tc_HOL_Obool)), _u12527), _u12528)) )).
% 27.71/27.95 cnf(matrix-5831, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12529, tc_HOL_Obool)), _u12530), _u12531) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12529, tc_HOL_Obool)), _u12530), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12529, tc_HOL_Obool)), _u12531))) )).
% 27.71/27.95 cnf(matrix-5832, plain, ( ~class_Orderings_Oorder(_u12532) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12532, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12532, _u12533, _u12534)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12532, _u12534, _u12535)) = c_Orderings_Obot__class_Obot(tc_fun(_u12532, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5833, plain, ( ( hAPP(c_Relation_OImage(_u12536, _u12536, c_Relation_OId__on(_u12536, _u12537)), _u12538) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12536, tc_HOL_Obool)), _u12537), _u12538)) )).
% 27.71/27.95 cnf(matrix-5834, plain, ( ~c_Nat__Transfer_Onat__set(_u12539) | ~c_Nat__Transfer_Onat__set(_u12540) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12539), _u12540) = 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), _u12539)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12540)))) )).
% 27.71/27.95 cnf(matrix-5835, plain, ( ~c_Equiv__Relations_Oequiv(_u12541, _u12542, _u12543) | ~c_Equiv__Relations_Ocongruent2(_u12541, _u12544, _u12545, _u12543, _u12546, _u12547) | ~hBOOL(hAPP(hAPP(c_member(_u12541), _u12548), _u12542)) | c_Equiv__Relations_Ocongruent(_u12544, _u12545, _u12546, hAPP(_u12547, _u12548)) )).
% 27.71/27.95 cnf(matrix-5836, plain, ( ~class_Lattices_Olattice(_u12549) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12549), _u12550)) | ~hBOOL(hAPP(hAPP(c_member(_u12549), _u12551), _u12550)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12549), _u12551), c_Big__Operators_Olattice__class_OSup__fin(_u12549, _u12550)) = _u12551) )).
% 27.71/27.95 cnf(matrix-5837, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12555, tc_HOL_Obool)), _u12557), _u12559) != c_Orderings_Obot__class_Obot(tc_fun(_u12555, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12555, tc_HOL_Obool)), _u12557), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12555, tc_HOL_Obool)), _u12559))) )).
% 27.71/27.95 cnf(matrix-5838, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12556, tc_HOL_Obool)), _u12558), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12556, tc_HOL_Obool)), _u12560))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12556, tc_HOL_Obool)), _u12558), _u12560) = c_Orderings_Obot__class_Obot(tc_fun(_u12556, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5839, plain, ( ~class_Orderings_Oorder(_u12561) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12561, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12561, _u12562), _u12563)), c_SetInterval_Oord__class_OatLeastAtMost(_u12561, _u12563, _u12564)) = c_Orderings_Obot__class_Obot(tc_fun(_u12561, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5840, plain, ( ~class_Orderings_Olinorder(_u12565) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12565, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12565, _u12566, _u12567)), c_SetInterval_Oord__class_OatLeastAtMost(_u12565, _u12568, _u12569)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12565, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12565), _u12566), _u12568), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12565), _u12567), _u12569))) )).
% 27.71/27.95 cnf(matrix-5841, plain, ( ~class_Orderings_Olinorder(_u12570) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12570, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12570, _u12571), _u12572)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12570, _u12573), _u12574)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12570, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12570), _u12571), _u12573)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12570), _u12572), _u12574))) )).
% 27.71/27.95 cnf(matrix-5842, plain, ( ~class_Orderings_Oorder(_u12575) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12575, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12575), _u12576)), c_SetInterval_Oord__class_OatLeastAtMost(_u12575, _u12576, _u12577)) = c_Orderings_Obot__class_Obot(tc_fun(_u12575, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5843, plain, ( ~class_Orderings_Oorder(_u12578) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12578, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12578), _u12579)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12578, _u12579), _u12580)) = c_Orderings_Obot__class_Obot(tc_fun(_u12578, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5844, plain, ( ~class_Orderings_Oorder(_u12581) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12581, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12581, _u12582, _u12583)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12581, _u12583, _u12584)) = c_Orderings_Obot__class_Obot(tc_fun(_u12581, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5845, plain, ( ~class_Orderings_Oorder(_u12585) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12585, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12585, _u12586, _u12587)), c_SetInterval_Oord__class_OatLeastAtMost(_u12585, _u12587, _u12588)) = c_Orderings_Obot__class_Obot(tc_fun(_u12585, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5846, plain, ( ~class_Orderings_Oorder(_u12589) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12589, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12589, _u12590, _u12591)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12589, _u12591, _u12592)) = c_Orderings_Obot__class_Obot(tc_fun(_u12589, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5847, plain, ( ~class_Orderings_Olinorder(_u12593) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12593, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12593, _u12594, _u12595)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12593, _u12596, _u12597)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u12593, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12593), _u12594), _u12596), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12593), _u12595), _u12597))) )).
% 27.71/27.95 cnf(matrix-5848, plain, ( ~class_Orderings_Oorder(_u12598) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12598, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12598, _u12599, _u12600)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12598, _u12600), _u12601)) = c_Orderings_Obot__class_Obot(tc_fun(_u12598, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5849, plain, ( ~class_Orderings_Olinorder(_u12602) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12602, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12602, _u12603, _u12604)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12602, _u12605, _u12606)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u12602, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12602), _u12603), _u12605), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12602), _u12604), _u12606))) )).
% 27.71/27.95 cnf(matrix-5850, plain, ( ~class_Orderings_Olinorder(_u12607) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12607, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12607), _u12608)), c_SetInterval_Oord__class_OatLeastAtMost(_u12607, _u12609, _u12610)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12607, _u12609, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12607), _u12608), _u12610))) )).
% 27.71/27.95 cnf(matrix-5851, plain, ( ~class_Orderings_Olinorder(_u12611) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12611, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12611, _u12612, _u12613)), hAPP(c_SetInterval_Oord__class_OatMost(_u12611), _u12614)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12611, _u12612, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12611), _u12613), _u12614))) )).
% 27.71/27.95 cnf(matrix-5852, plain, ( ~class_Orderings_Oorder(_u12615) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12615, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12615, _u12616), _u12617)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12615), _u12617)) = c_Orderings_Obot__class_Obot(tc_fun(_u12615, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5853, plain, ( ~class_Orderings_Oorder(_u12618) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12618, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12618, _u12619, _u12620)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12618), _u12620)) = c_Orderings_Obot__class_Obot(tc_fun(_u12618, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5854, plain, ( ~class_Orderings_Olinorder(_u12621) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12621, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12621), _u12622)), c_SetInterval_Oord__class_OatLeastAtMost(_u12621, _u12623, _u12624)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12621, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12621), _u12622), _u12623), _u12624)) )).
% 27.71/27.95 cnf(matrix-5855, plain, ( ~class_Orderings_Olinorder(_u12625) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12625, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12625, _u12626, _u12627)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12625), _u12628)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12625, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12625), _u12626), _u12628), _u12627)) )).
% 27.71/27.95 cnf(matrix-5856, plain, ( ~class_Orderings_Oorder(_u12629) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12629, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12629), _u12630)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12629, _u12630, _u12631)) = c_Orderings_Obot__class_Obot(tc_fun(_u12629, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5857, plain, ( ~class_Orderings_Oorder(_u12632) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12632, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12632, _u12633, _u12634)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12632, _u12634, _u12635)) = c_Orderings_Obot__class_Obot(tc_fun(_u12632, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5858, plain, ( ~class_Orderings_Oorder(_u12636) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12636, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12636), _u12637)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12636, _u12637, _u12638)) = c_Orderings_Obot__class_Obot(tc_fun(_u12636, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5859, plain, ( ~class_Orderings_Oorder(_u12639) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12639, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12639, _u12640, _u12641)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12639), _u12641)) = c_Orderings_Obot__class_Obot(tc_fun(_u12639, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5860, plain, ( ~class_Orderings_Oorder(_u12642) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12642, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12642, _u12643, _u12644)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12642), _u12644)) = c_Orderings_Obot__class_Obot(tc_fun(_u12642, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5861, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12646), _u12651)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12646), _u12652)) | ( hAPP(hAPP(_u12647, hAPP(_u12650, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12646, tc_HOL_Obool)), _u12651), _u12652))), hAPP(_u12650, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12646, tc_HOL_Obool)), _u12651), _u12652))) = hAPP(hAPP(_u12647, hAPP(_u12650, _u12651)), hAPP(_u12650, _u12652))) | ~c_Finite__Set_Ofolding__image__simple(_u12645, _u12646, _u12647, _u12648, _u12649, _u12650) )).
% 27.71/27.95 cnf(matrix-5862, plain, ( ~class_Lattices_Oboolean__algebra(_u12653) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12653), _u12654), _u12655) != c_Orderings_Obot__class_Obot(_u12653)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12653), _u12654), _u12655) != c_Orderings_Otop__class_Otop(_u12653)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12653), _u12654) = _u12655) )).
% 27.71/27.95 cnf(matrix-5863, plain, ( ~class_Groups_Ocomm__monoid__add(_u12656) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12657), _u12658)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12657), _u12659)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12656), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12657, _u12656), _u12660), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12657, tc_HOL_Obool)), _u12658), _u12659))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12657, _u12656), _u12660), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12657, tc_HOL_Obool)), _u12658), _u12659))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12656), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12657, _u12656), _u12660), _u12658)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12657, _u12656), _u12660), _u12659))) )).
% 27.71/27.95 cnf(matrix-5864, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12662), _u12663)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12662), _u12664)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12661), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12662, tc_HOL_Obool)), _u12663), _u12664))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12662, tc_HOL_Obool)), _u12663), _u12664))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12661), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), _u12663)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), _u12664))) )).
% 27.71/27.95 cnf(matrix-5865, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12666) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12667), _u12668)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12667), _u12669)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12666), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12667, _u12666), _u12670), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12667, tc_HOL_Obool)), _u12668), _u12669))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12667, _u12666), _u12670), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12667, tc_HOL_Obool)), _u12668), _u12669))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12666), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12667, _u12666), _u12670), _u12668)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12667, _u12666), _u12670), _u12669))) )).
% 27.71/27.95 cnf(matrix-5866, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12671), _u12672)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12671), _u12673)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12671), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12671, tc_HOL_Obool)), _u12672), _u12673))), hAPP(c_Finite__Set_Ocard(_u12671), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12671, tc_HOL_Obool)), _u12672), _u12673))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12671), _u12672)), hAPP(c_Finite__Set_Ocard(_u12671), _u12673))) )).
% 27.71/27.95 cnf(matrix-5867, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12674), _u12675)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12674), _u12676)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12674), _u12675)), hAPP(c_Finite__Set_Ocard(_u12674), _u12676)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12674), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12674, tc_HOL_Obool)), _u12675), _u12676))), hAPP(c_Finite__Set_Ocard(_u12674), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12674, tc_HOL_Obool)), _u12675), _u12676)))) )).
% 27.71/27.95 cnf(matrix-5868, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12677), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12677, tc_HOL_Obool)), _u12678), _u12679))) | ( hAPP(c_Finite__Set_Ocard(_u12677), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12677, tc_HOL_Obool)), _u12678), _u12679)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12677), _u12678)), hAPP(c_Finite__Set_Ocard(_u12677), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12677, tc_HOL_Obool)), _u12678), _u12679)))) )).
% 27.71/27.95 cnf(matrix-5869, plain, ( ~class_Groups_Ocomm__monoid__add(_u12680) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12681), _u12682)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12681, _u12680), _u12683), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12681, tc_HOL_Obool)), _u12682), _u12684)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12681, _u12680), hAPP(hAPP(c_COMBC(_u12681, _u12680, _u12680), hAPP(hAPP(c_COMBS(_u12681, _u12680, tc_fun(_u12680, _u12680)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12680, tc_fun(_u12680, _u12680)), _u12681), c_If(_u12680)), hAPP(hAPP(c_COMBC(_u12681, tc_fun(_u12681, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12681)), _u12684))), _u12683)), c_Groups_Ozero__class_Ozero(_u12680))), _u12682)) )).
% 27.71/27.95 cnf(matrix-5870, plain, ( ~c_Finite__Set_Ofolding(_u12685, _u12686, _u12687, _u12688) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12685), _u12689)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12685), _u12690)) | ( hAPP(c_Fun_Ocomp(_u12686, _u12686, _u12686, hAPP(_u12688, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12685, tc_HOL_Obool)), _u12689), _u12690))), hAPP(_u12688, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12685, tc_HOL_Obool)), _u12689), _u12690))) = hAPP(c_Fun_Ocomp(_u12686, _u12686, _u12686, hAPP(_u12688, _u12689)), hAPP(_u12688, _u12690))) )).
% 27.71/27.95 cnf(matrix-5871, plain, ( ~c_Equiv__Relations_Oequiv(_u12691, _u12692, _u12693) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12691, tc_HOL_Obool)), _u12694), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12691), _u12692), _u12693))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12691, tc_HOL_Obool)), _u12695), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12691), _u12692), _u12693))) | ( _u12694 = _u12695) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12691, tc_HOL_Obool)), _u12694), _u12695) = c_Orderings_Obot__class_Obot(tc_fun(_u12691, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5872, plain, ( ~class_Orderings_Oorder(_u12696) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12696, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12696), _u12697)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12696), _u12697)) = hAPP(hAPP(c_Set_Oinsert(_u12696), _u12697), c_Orderings_Obot__class_Obot(tc_fun(_u12696, tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-5873, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12699), _u12704)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12699), _u12705)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12699, tc_HOL_Obool)), _u12704), _u12705) != c_Orderings_Obot__class_Obot(tc_fun(_u12699, tc_HOL_Obool))) | ( hAPP(_u12703, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12699, tc_HOL_Obool)), _u12704), _u12705)) = hAPP(hAPP(_u12700, hAPP(_u12703, _u12704)), hAPP(_u12703, _u12705))) | ~c_Finite__Set_Ofolding__image__simple(_u12698, _u12699, _u12700, _u12701, _u12702, _u12703) )).
% 27.71/27.95 cnf(matrix-5874, plain, ( ~c_Finite__Set_Ofolding__one(_u12706, _u12707, _u12708) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12706), _u12709)) | ( _u12709 = c_Orderings_Obot__class_Obot(tc_fun(_u12706, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12706), _u12710)) | ( _u12710 = c_Orderings_Obot__class_Obot(tc_fun(_u12706, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12706, tc_HOL_Obool)), _u12709), _u12710) != c_Orderings_Obot__class_Obot(tc_fun(_u12706, tc_HOL_Obool))) | ( hAPP(_u12708, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12706, tc_HOL_Obool)), _u12709), _u12710)) = hAPP(hAPP(_u12707, hAPP(_u12708, _u12709)), hAPP(_u12708, _u12710))) )).
% 27.71/27.95 cnf(matrix-5875, plain, ( ~c_Finite__Set_Ofolding__one(_u12711, _u12712, _u12713) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12711), _u12714)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12711), _u12715)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12711, tc_HOL_Obool)), _u12714), _u12715) = c_Orderings_Obot__class_Obot(tc_fun(_u12711, tc_HOL_Obool))) | ( hAPP(hAPP(_u12712, hAPP(_u12713, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12711, tc_HOL_Obool)), _u12714), _u12715))), hAPP(_u12713, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12711, tc_HOL_Obool)), _u12714), _u12715))) = hAPP(hAPP(_u12712, hAPP(_u12713, _u12714)), hAPP(_u12713, _u12715))) )).
% 27.71/27.95 cnf(matrix-5876, plain, ( ~class_Groups_Ocomm__monoid__add(_u12716) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12717), _u12718)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12717), _u12719)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12717, tc_HOL_Obool)), _u12718), _u12719) != c_Orderings_Obot__class_Obot(tc_fun(_u12717, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12717, _u12716), _u12720), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12717, tc_HOL_Obool)), _u12718), _u12719)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12716), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12717, _u12716), _u12720), _u12718)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12717, _u12716), _u12720), _u12719))) )).
% 27.71/27.95 cnf(matrix-5877, plain, ( ~class_Groups_Oab__group__add(_u12721) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12722), _u12723)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12722), _u12724)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12722, _u12721), _u12725), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12722, tc_HOL_Obool)), _u12723), _u12724)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12721), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12721), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12722, _u12721), _u12725), _u12723)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12722, _u12721), _u12725), _u12724))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12722, _u12721), _u12725), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12722, tc_HOL_Obool)), _u12723), _u12724)))) )).
% 27.71/27.95 cnf(matrix-5878, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12727), _u12728)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12727), _u12729)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12727, tc_HOL_Obool)), _u12728), _u12729) != c_Orderings_Obot__class_Obot(tc_fun(_u12727, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12727, _u12726), _u12730), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12727, tc_HOL_Obool)), _u12728), _u12729)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12726), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12727, _u12726), _u12730), _u12728)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12727, _u12726), _u12730), _u12729))) )).
% 27.71/27.95 cnf(matrix-5879, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12732), _u12733)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12732), _u12734)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12732, tc_HOL_Obool)), _u12733), _u12734) != c_Orderings_Obot__class_Obot(tc_fun(_u12732, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12732, _u12731), _u12735), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12732, tc_HOL_Obool)), _u12733), _u12734)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12731), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12732, _u12731), _u12735), _u12733)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12732, _u12731), _u12735), _u12734))) )).
% 27.71/27.95 cnf(matrix-5880, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12736), _u12737)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12736), _u12738)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12736, tc_HOL_Obool)), _u12737), _u12738) != c_Orderings_Obot__class_Obot(tc_fun(_u12736, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u12736), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12736, tc_HOL_Obool)), _u12737), _u12738)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12736), _u12737)), hAPP(c_Finite__Set_Ocard(_u12736), _u12738))) )).
% 27.71/27.95 cnf(matrix-5881, plain, ( ~class_Lattices_Olattice(_u12739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12739), _u12740)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12739), _u12741)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12739, tc_HOL_Obool)), _u12740), _u12741) = c_Orderings_Obot__class_Obot(tc_fun(_u12739, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12739), c_Big__Operators_Olattice__class_OSup__fin(_u12739, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12739, tc_HOL_Obool)), _u12740), _u12741))), c_Big__Operators_Olattice__class_OSup__fin(_u12739, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12739, tc_HOL_Obool)), _u12740), _u12741))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12739), c_Big__Operators_Olattice__class_OSup__fin(_u12739, _u12740)), c_Big__Operators_Olattice__class_OSup__fin(_u12739, _u12741))) )).
% 27.71/27.95 cnf(matrix-5882, plain, ( ~class_Lattices_Olattice(_u12742) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12742), _u12743)) | ( _u12743 = c_Orderings_Obot__class_Obot(tc_fun(_u12742, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12742), _u12744)) | ( _u12744 = c_Orderings_Obot__class_Obot(tc_fun(_u12742, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12742, tc_HOL_Obool)), _u12743), _u12744) != c_Orderings_Obot__class_Obot(tc_fun(_u12742, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u12742, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12742, tc_HOL_Obool)), _u12743), _u12744)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12742), c_Big__Operators_Olattice__class_OSup__fin(_u12742, _u12743)), c_Big__Operators_Olattice__class_OSup__fin(_u12742, _u12744))) )).
% 27.71/27.95 cnf(matrix-5883, plain, ( ~class_Orderings_Olinorder(_u12745) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12745), _u12746)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12745), _u12747)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12745, tc_HOL_Obool)), _u12746), _u12747) = c_Orderings_Obot__class_Obot(tc_fun(_u12745, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12745), c_Big__Operators_Olinorder__class_OMin(_u12745, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12745, tc_HOL_Obool)), _u12746), _u12747))), c_Big__Operators_Olinorder__class_OMin(_u12745, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12745, tc_HOL_Obool)), _u12746), _u12747))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12745), c_Big__Operators_Olinorder__class_OMin(_u12745, _u12746)), c_Big__Operators_Olinorder__class_OMin(_u12745, _u12747))) )).
% 27.71/27.95 cnf(matrix-5884, plain, ( ~class_Orderings_Olinorder(_u12748) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12748), _u12749)) | ( _u12749 = c_Orderings_Obot__class_Obot(tc_fun(_u12748, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12748), _u12750)) | ( _u12750 = c_Orderings_Obot__class_Obot(tc_fun(_u12748, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12748, tc_HOL_Obool)), _u12749), _u12750) != c_Orderings_Obot__class_Obot(tc_fun(_u12748, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u12748, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12748, tc_HOL_Obool)), _u12749), _u12750)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12748), c_Big__Operators_Olinorder__class_OMin(_u12748, _u12749)), c_Big__Operators_Olinorder__class_OMin(_u12748, _u12750))) )).
% 27.71/27.95 cnf(matrix-5885, plain, ( ~class_Orderings_Olinorder(_u12751) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12751), _u12752)) | ( _u12752 = c_Orderings_Obot__class_Obot(tc_fun(_u12751, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12751), _u12753)) | ( _u12753 = c_Orderings_Obot__class_Obot(tc_fun(_u12751, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12751, tc_HOL_Obool)), _u12752), _u12753) != c_Orderings_Obot__class_Obot(tc_fun(_u12751, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u12751, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12751, tc_HOL_Obool)), _u12752), _u12753)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12751), c_Big__Operators_Olinorder__class_OMax(_u12751, _u12752)), c_Big__Operators_Olinorder__class_OMax(_u12751, _u12753))) )).
% 27.71/27.95 cnf(matrix-5886, plain, ( ~class_Orderings_Olinorder(_u12754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12754), _u12755)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12754), _u12756)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12754, tc_HOL_Obool)), _u12755), _u12756) = c_Orderings_Obot__class_Obot(tc_fun(_u12754, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12754), c_Big__Operators_Olinorder__class_OMax(_u12754, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12754, tc_HOL_Obool)), _u12755), _u12756))), c_Big__Operators_Olinorder__class_OMax(_u12754, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12754, tc_HOL_Obool)), _u12755), _u12756))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12754), c_Big__Operators_Olinorder__class_OMax(_u12754, _u12755)), c_Big__Operators_Olinorder__class_OMax(_u12754, _u12756))) )).
% 27.71/27.95 cnf(matrix-5887, plain, ( ~class_Orderings_Olinorder(_u12757) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12757), _u12758)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12757), _u12759)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12757, tc_HOL_Obool)), _u12758), _u12759) = c_Orderings_Obot__class_Obot(tc_fun(_u12757, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12757), c_Big__Operators_Olattice_OInf__fin(_u12757, c_Orderings_Oord__class_Omin(_u12757), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12757, tc_HOL_Obool)), _u12758), _u12759))), c_Big__Operators_Olattice_OInf__fin(_u12757, c_Orderings_Oord__class_Omin(_u12757), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12757, tc_HOL_Obool)), _u12758), _u12759))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12757), c_Big__Operators_Olattice_OInf__fin(_u12757, c_Orderings_Oord__class_Omin(_u12757), _u12758)), c_Big__Operators_Olattice_OInf__fin(_u12757, c_Orderings_Oord__class_Omin(_u12757), _u12759))) )).
% 27.71/27.95 cnf(matrix-5888, plain, ( ~class_Orderings_Olinorder(_u12760) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12760), _u12761)) | ( _u12761 = c_Orderings_Obot__class_Obot(tc_fun(_u12760, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12760), _u12762)) | ( _u12762 = c_Orderings_Obot__class_Obot(tc_fun(_u12760, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12760, tc_HOL_Obool)), _u12761), _u12762) != c_Orderings_Obot__class_Obot(tc_fun(_u12760, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u12760, c_Orderings_Oord__class_Omin(_u12760), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12760, tc_HOL_Obool)), _u12761), _u12762)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12760), c_Big__Operators_Olattice_OInf__fin(_u12760, c_Orderings_Oord__class_Omin(_u12760), _u12761)), c_Big__Operators_Olattice_OInf__fin(_u12760, c_Orderings_Oord__class_Omin(_u12760), _u12762))) )).
% 27.71/27.95 cnf(matrix-5889, plain, ( ~class_Orderings_Olinorder(_u12763) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12763), _u12764)) | ( _u12764 = c_Orderings_Obot__class_Obot(tc_fun(_u12763, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12763), _u12765)) | ( _u12765 = c_Orderings_Obot__class_Obot(tc_fun(_u12763, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12763, tc_HOL_Obool)), _u12764), _u12765) != c_Orderings_Obot__class_Obot(tc_fun(_u12763, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u12763, c_Orderings_Oord__class_Omax(_u12763), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12763, tc_HOL_Obool)), _u12764), _u12765)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12763), c_Big__Operators_Olattice_OSup__fin(_u12763, c_Orderings_Oord__class_Omax(_u12763), _u12764)), c_Big__Operators_Olattice_OSup__fin(_u12763, c_Orderings_Oord__class_Omax(_u12763), _u12765))) )).
% 27.71/27.95 cnf(matrix-5890, plain, ( ~class_Orderings_Olinorder(_u12766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12766), _u12767)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12766), _u12768)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12766, tc_HOL_Obool)), _u12767), _u12768) = c_Orderings_Obot__class_Obot(tc_fun(_u12766, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12766), c_Big__Operators_Olattice_OSup__fin(_u12766, c_Orderings_Oord__class_Omax(_u12766), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12766, tc_HOL_Obool)), _u12767), _u12768))), c_Big__Operators_Olattice_OSup__fin(_u12766, c_Orderings_Oord__class_Omax(_u12766), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12766, tc_HOL_Obool)), _u12767), _u12768))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12766), c_Big__Operators_Olattice_OSup__fin(_u12766, c_Orderings_Oord__class_Omax(_u12766), _u12767)), c_Big__Operators_Olattice_OSup__fin(_u12766, c_Orderings_Oord__class_Omax(_u12766), _u12768))) )).
% 27.71/27.95 cnf(matrix-5891, plain, ( ~c_Equiv__Relations_Ocongruent2(_u12769, _u12770, _u12771, _u12772, _u12773, _u12774) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12769, _u12769)), hAPP(hAPP(c_Product__Type_OPair(_u12769, _u12769), _u12775), _u12776)), _u12772)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12770, _u12770)), hAPP(hAPP(c_Product__Type_OPair(_u12770, _u12770), _u12777), _u12778)), _u12773)) | ( hAPP(hAPP(_u12774, _u12775), _u12777) = hAPP(hAPP(_u12774, _u12776), _u12778)) )).
% 27.71/27.95 cnf(matrix-5892, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12779), _u12780)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12779), _u12781)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12779, tc_Nat_Onat), _u12782), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12779, tc_HOL_Obool)), _u12780), _u12781)) = 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(_u12779, tc_Nat_Onat), _u12782), _u12780)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12779, tc_Nat_Onat), _u12782), _u12781))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12779, tc_Nat_Onat), _u12782), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12779, tc_HOL_Obool)), _u12780), _u12781)))) )).
% 27.71/27.95 cnf(matrix-5893, plain, ( ~c_Finite__Set_Ofolding(_u12783, _u12784, _u12785, _u12786) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12783), _u12787)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12783), _u12788)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12783, tc_HOL_Obool)), _u12787), _u12788) != c_Orderings_Obot__class_Obot(tc_fun(_u12783, tc_HOL_Obool))) | ( hAPP(_u12786, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12783, tc_HOL_Obool)), _u12787), _u12788)) = hAPP(c_Fun_Ocomp(_u12784, _u12784, _u12784, hAPP(_u12786, _u12787)), hAPP(_u12786, _u12788))) )).
% 27.71/27.95 cnf(matrix-5894, plain, ( ~c_Equiv__Relations_Ocongruent(_u12789, _u12790, _u12791, _u12792) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12789, _u12789)), hAPP(hAPP(c_Product__Type_OPair(_u12789, _u12789), _u12793), _u12794)), _u12791)) | ( hAPP(_u12792, _u12793) = hAPP(_u12792, _u12794)) )).
% 27.71/27.95 cnf(matrix-5895, plain, ( ~c_Equiv__Relations_Oequiv(_u12795, _u12796, _u12797) | ~c_Equiv__Relations_Oequiv(_u12798, _u12799, _u12800) | ~c_Equiv__Relations_Ocongruent2(_u12795, _u12798, tc_fun(_u12801, tc_HOL_Obool), _u12797, _u12800, _u12802) | ~hBOOL(hAPP(hAPP(c_member(_u12798), _u12803), _u12799)) | c_Equiv__Relations_Ocongruent(_u12795, tc_fun(_u12801, tc_HOL_Obool), _u12797, hAPP(hAPP(c_COMBB(tc_fun(_u12798, tc_fun(_u12801, tc_HOL_Obool)), tc_fun(_u12801, tc_HOL_Obool), _u12795), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12798, tc_fun(_u12801, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12798, _u12798, _u12800), hAPP(hAPP(c_Set_Oinsert(_u12798), _u12803), c_Orderings_Obot__class_Obot(tc_fun(_u12798, tc_HOL_Obool)))))), _u12802)) )).
% 27.71/27.95 cnf(matrix-5896, plain, ( ~c_Equiv__Relations_Oequiv(_u12806, _u12807, _u12808) | ~c_Equiv__Relations_Ocongruent(_u12806, tc_fun(_u12809, tc_HOL_Obool), _u12808, _u12810) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12811), _u12810) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12812), _u12810)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12811), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12812), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ( _u12811 = _u12812) | hBOOL(hAPP(hAPP(c_member(_u12806), skolem255(_u12812, _u12811, _u12810, _u12809, _u12808, _u12807, _u12806)), _u12807)) )).
% 27.71/27.95 cnf(matrix-5897, plain, ( ~c_Equiv__Relations_Oequiv(_u12806, _u12807, _u12808) | ~c_Equiv__Relations_Ocongruent(_u12806, tc_fun(_u12809, tc_HOL_Obool), _u12808, _u12810) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12811), _u12810) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12812), _u12810)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12811), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12812), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ( _u12811 = _u12812) | hBOOL(hAPP(hAPP(c_member(_u12806), skolem256(_u12812, _u12811, _u12810, _u12809, _u12808, _u12807, _u12806)), _u12807)) )).
% 27.71/27.95 cnf(matrix-5898, plain, ( ~c_Equiv__Relations_Oequiv(_u12806, _u12807, _u12808) | ~c_Equiv__Relations_Ocongruent(_u12806, tc_fun(_u12809, tc_HOL_Obool), _u12808, _u12810) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12811), _u12810) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12812), _u12810)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12811), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12812), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ( _u12811 = _u12812) | ( hAPP(_u12810, skolem255(_u12812, _u12811, _u12810, _u12809, _u12808, _u12807, _u12806)) = hAPP(_u12810, skolem256(_u12812, _u12811, _u12810, _u12809, _u12808, _u12807, _u12806))) )).
% 27.71/27.95 cnf(matrix-5899, plain, ( ~c_Equiv__Relations_Oequiv(_u12806, _u12807, _u12808) | ~c_Equiv__Relations_Ocongruent(_u12806, tc_fun(_u12809, tc_HOL_Obool), _u12808, _u12810) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12811), _u12810) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12806, tc_fun(_u12809, tc_HOL_Obool)), _u12812), _u12810)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12811), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12806, tc_HOL_Obool)), _u12812), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12806), _u12807), _u12808))) | ( _u12811 = _u12812) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12806, _u12806)), hAPP(hAPP(c_Product__Type_OPair(_u12806, _u12806), skolem255(_u12812, _u12811, _u12810, _u12809, _u12808, _u12807, _u12806)), skolem256(_u12812, _u12811, _u12810, _u12809, _u12808, _u12807, _u12806))), _u12808)) )).
% 27.71/27.95 cnf(matrix-5900, plain, ( ~c_Equiv__Relations_Oequiv(_u12815, _u12816, _u12817) | ~c_Equiv__Relations_Oequiv(_u12818, _u12819, _u12820) | ~c_Equiv__Relations_Ocongruent2(_u12815, _u12818, tc_fun(_u12821, tc_HOL_Obool), _u12817, _u12820, _u12822) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12815, tc_HOL_Obool)), _u12823), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12815), _u12816), _u12817))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12818, tc_HOL_Obool)), _u12824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12818), _u12819), _u12820))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12821, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12815, tc_fun(_u12821, tc_HOL_Obool)), _u12823), hAPP(hAPP(c_COMBB(tc_fun(_u12818, tc_fun(_u12821, tc_HOL_Obool)), tc_fun(_u12821, tc_HOL_Obool), _u12815), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12818, tc_fun(_u12821, tc_HOL_Obool)), _u12824)), _u12822))), _u12825)) | hBOOL(hAPP(hAPP(c_member(_u12815), skolem257(_u12825, _u12824, _u12823, _u12822, _u12821, _u12820, _u12819, _u12818, _u12817, _u12816, _u12815)), _u12816)) )).
% 27.71/27.95 cnf(matrix-5901, plain, ( ~c_Equiv__Relations_Oequiv(_u12815, _u12816, _u12817) | ~c_Equiv__Relations_Oequiv(_u12818, _u12819, _u12820) | ~c_Equiv__Relations_Ocongruent2(_u12815, _u12818, tc_fun(_u12821, tc_HOL_Obool), _u12817, _u12820, _u12822) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12815, tc_HOL_Obool)), _u12823), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12815), _u12816), _u12817))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12818, tc_HOL_Obool)), _u12824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12818), _u12819), _u12820))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12821, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12815, tc_fun(_u12821, tc_HOL_Obool)), _u12823), hAPP(hAPP(c_COMBB(tc_fun(_u12818, tc_fun(_u12821, tc_HOL_Obool)), tc_fun(_u12821, tc_HOL_Obool), _u12815), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12818, tc_fun(_u12821, tc_HOL_Obool)), _u12824)), _u12822))), _u12825)) | hBOOL(hAPP(hAPP(c_member(_u12818), skolem258(_u12825, _u12824, _u12823, _u12822, _u12821, _u12820, _u12819, _u12818, _u12817, _u12816, _u12815)), _u12819)) )).
% 27.71/27.95 cnf(matrix-5902, plain, ( ~c_Equiv__Relations_Oequiv(_u12815, _u12816, _u12817) | ~c_Equiv__Relations_Oequiv(_u12818, _u12819, _u12820) | ~c_Equiv__Relations_Ocongruent2(_u12815, _u12818, tc_fun(_u12821, tc_HOL_Obool), _u12817, _u12820, _u12822) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12815, tc_HOL_Obool)), _u12823), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12815), _u12816), _u12817))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12818, tc_HOL_Obool)), _u12824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12818), _u12819), _u12820))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12821, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12815, tc_fun(_u12821, tc_HOL_Obool)), _u12823), hAPP(hAPP(c_COMBB(tc_fun(_u12818, tc_fun(_u12821, tc_HOL_Obool)), tc_fun(_u12821, tc_HOL_Obool), _u12815), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12818, tc_fun(_u12821, tc_HOL_Obool)), _u12824)), _u12822))), _u12825)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12821, tc_HOL_Obool)), hAPP(hAPP(_u12822, skolem257(_u12825, _u12824, _u12823, _u12822, _u12821, _u12820, _u12819, _u12818, _u12817, _u12816, _u12815)), skolem258(_u12825, _u12824, _u12823, _u12822, _u12821, _u12820, _u12819, _u12818, _u12817, _u12816, _u12815))), _u12825)) )).
% 27.71/27.95 cnf(matrix-5903, plain, ( ~c_Equiv__Relations_Oequiv(_u12827, _u12828, _u12829) | ~c_Equiv__Relations_Ocongruent(_u12827, tc_fun(_u12830, tc_HOL_Obool), _u12829, _u12831) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12827, tc_HOL_Obool)), _u12832), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12827), _u12828), _u12829))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12830, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12827, tc_fun(_u12830, tc_HOL_Obool)), _u12832), _u12831)), _u12833)) | hBOOL(hAPP(hAPP(c_member(_u12827), skolem259(_u12833, _u12832, _u12831, _u12830, _u12829, _u12828, _u12827)), _u12828)) )).
% 27.71/27.95 cnf(matrix-5904, plain, ( ~c_Equiv__Relations_Oequiv(_u12827, _u12828, _u12829) | ~c_Equiv__Relations_Ocongruent(_u12827, tc_fun(_u12830, tc_HOL_Obool), _u12829, _u12831) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12827, tc_HOL_Obool)), _u12832), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12827), _u12828), _u12829))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12830, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12827, tc_fun(_u12830, tc_HOL_Obool)), _u12832), _u12831)), _u12833)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12830, tc_HOL_Obool)), hAPP(_u12831, skolem259(_u12833, _u12832, _u12831, _u12830, _u12829, _u12828, _u12827))), _u12833)) )).
% 27.71/27.95 cnf(matrix-5905, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 27.71/27.95 cnf(matrix-5906, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12840, tc_fun(_u12842, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u12840, tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_fun(_u12842, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12842, tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_fun(_u12842, tc_HOL_Obool)), _u12840), c_COMBC(_u12842, tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12842, tc_prod(_u12840, _u12842)), tc_fun(_u12842, tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool)), _u12840), hAPP(c_COMBB(tc_prod(_u12840, _u12842), tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool), _u12842), c_member(tc_prod(_u12840, _u12842)))), c_Product__Type_OPair(_u12840, _u12842)))), _u12844)), hAPP(hAPP(c_COMBC(_u12840, tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_fun(_u12842, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12842, tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_fun(_u12842, tc_HOL_Obool)), _u12840), c_COMBC(_u12842, tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12842, tc_prod(_u12840, _u12842)), tc_fun(_u12842, tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool)), _u12840), hAPP(c_COMBB(tc_prod(_u12840, _u12842), tc_fun(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool), tc_HOL_Obool), _u12842), c_member(tc_prod(_u12840, _u12842)))), c_Product__Type_OPair(_u12840, _u12842)))), _u12846)), _u12848), _u12850)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12840, _u12842)), hAPP(hAPP(c_Product__Type_OPair(_u12840, _u12842), _u12848), _u12850)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12840, _u12842), tc_HOL_Obool)), _u12844), _u12846))) )).
% 27.71/27.95 cnf(matrix-5907, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12841, _u12843)), hAPP(hAPP(c_Product__Type_OPair(_u12841, _u12843), _u12849), _u12851)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool)), _u12845), _u12847))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12841, tc_fun(_u12843, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u12841, tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_fun(_u12843, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12843, tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_fun(_u12843, tc_HOL_Obool)), _u12841), c_COMBC(_u12843, tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12843, tc_prod(_u12841, _u12843)), tc_fun(_u12843, tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool)), _u12841), hAPP(c_COMBB(tc_prod(_u12841, _u12843), tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool), _u12843), c_member(tc_prod(_u12841, _u12843)))), c_Product__Type_OPair(_u12841, _u12843)))), _u12845)), hAPP(hAPP(c_COMBC(_u12841, tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_fun(_u12843, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12843, tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_fun(_u12843, tc_HOL_Obool)), _u12841), c_COMBC(_u12843, tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12843, tc_prod(_u12841, _u12843)), tc_fun(_u12843, tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool)), _u12841), hAPP(c_COMBB(tc_prod(_u12841, _u12843), tc_fun(tc_fun(tc_prod(_u12841, _u12843), tc_HOL_Obool), tc_HOL_Obool), _u12843), c_member(tc_prod(_u12841, _u12843)))), c_Product__Type_OPair(_u12841, _u12843)))), _u12847)), _u12849), _u12851)) )).
% 27.71/27.95 cnf(matrix-5908, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12853), _u12854)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12853), _u12855)) | ( hAPP(c_Finite__Set_Ocard(_u12853), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12853, tc_HOL_Obool)), _u12854), _u12855)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12853), _u12854)), hAPP(c_Finite__Set_Ocard(_u12853), _u12855))) | hBOOL(hAPP(hAPP(c_member(_u12853), skolem260(_u12855, _u12854, _u12853)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12853, tc_HOL_Obool)), _u12854), _u12855))) )).
% 27.71/27.95 cnf(matrix-5909, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12853), _u12854)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12853), _u12855)) | ( hAPP(c_Finite__Set_Ocard(_u12853), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12853, tc_HOL_Obool)), _u12854), _u12855)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12853), _u12854)), hAPP(c_Finite__Set_Ocard(_u12853), _u12855))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.95 cnf(matrix-5910, plain, ( ~class_Fields_Ofield(_u12857) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), _u12859)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), _u12860)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12857), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), _u12859)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), _u12860))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860)))) | hBOOL(hAPP(hAPP(c_member(_u12858), skolem261(_u12861, _u12860, _u12859, _u12858, _u12857)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860))) )).
% 27.71/27.95 cnf(matrix-5911, plain, ( ~class_Fields_Ofield(_u12857) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), _u12859)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), _u12860)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12857), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), _u12859)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), _u12860))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12858, _u12857), _u12861), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12858, tc_HOL_Obool)), _u12859), _u12860)))) | ( hAPP(_u12861, skolem261(_u12861, _u12860, _u12859, _u12858, _u12857)) = c_Groups_Ozero__class_Ozero(_u12857)) )).
% 27.71/27.95 cnf(matrix-5912, 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)) )).
% 27.71/27.95 cnf(matrix-5913, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12862, tc_fun(_u12863, tc_HOL_Obool))), _u12864), _u12865), _u12866), _u12867)) | hBOOL(hAPP(hAPP(_u12864, _u12866), _u12867)) )).
% 27.71/27.95 cnf(matrix-5914, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12862, tc_fun(_u12863, tc_HOL_Obool))), _u12864), _u12865), _u12866), _u12867)) | hBOOL(hAPP(hAPP(_u12865, _u12866), _u12867)) )).
% 27.71/27.95 cnf(matrix-5915, plain, ( ~hBOOL(hAPP(hAPP(_u12868, _u12869), _u12870)) | ~hBOOL(hAPP(hAPP(_u12871, _u12869), _u12870)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12872, tc_fun(_u12873, tc_HOL_Obool))), _u12868), _u12871), _u12869), _u12870)) )).
% 27.71/27.95 cnf(matrix-5916, plain, ( hBOOL(hAPP(hAPP(_u12877, _u12878), _u12879)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12874, tc_fun(_u12875, tc_HOL_Obool))), _u12876), _u12877), _u12878), _u12879)) )).
% 27.71/27.95 cnf(matrix-5917, plain, ( hBOOL(hAPP(hAPP(_u12882, _u12884), _u12885)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12880, tc_fun(_u12881, tc_HOL_Obool))), _u12882), _u12883), _u12884), _u12885)) )).
% 27.71/27.95 cnf(matrix-5918, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u12886)), c_Int_OInteg)) )).
% 27.71/27.95 cnf(matrix-5919, 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) )).
% 27.71/27.95 cnf(matrix-5920, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12888) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12889), _u12890)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12889), _u12891)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12889, _u12888), _u12892), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12889, tc_HOL_Obool)), _u12890), _u12891)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12888), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12889, _u12888), _u12892), _u12890)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12889, _u12888), _u12892), _u12891))) | hBOOL(hAPP(hAPP(c_member(_u12889), skolem262(_u12892, _u12891, _u12890, _u12889, _u12888)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12889, tc_HOL_Obool)), _u12890), _u12891))) )).
% 27.71/27.95 cnf(matrix-5921, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12888) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12889), _u12890)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12889), _u12891)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12889, _u12888), _u12892), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12889, tc_HOL_Obool)), _u12890), _u12891)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12888), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12889, _u12888), _u12892), _u12890)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12889, _u12888), _u12892), _u12891))) | ( hAPP(_u12892, skolem262(_u12892, _u12891, _u12890, _u12889, _u12888)) != c_Groups_Oone__class_Oone(_u12888)) )).
% 27.71/27.95 cnf(matrix-5922, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12894) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12895), _u12896)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12895), _u12897)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12895, _u12894), _u12898), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12895, tc_HOL_Obool)), _u12896), _u12897)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12894), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12895, _u12894), _u12898), _u12896)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12895, _u12894), _u12898), _u12897))) | hBOOL(hAPP(hAPP(c_member(_u12895), skolem263(_u12898, _u12897, _u12896, _u12895, _u12894)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12895, tc_HOL_Obool)), _u12896), _u12897))) )).
% 27.71/27.95 cnf(matrix-5923, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12894) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12895), _u12896)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12895), _u12897)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12895, _u12894), _u12898), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12895, tc_HOL_Obool)), _u12896), _u12897)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12894), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12895, _u12894), _u12898), _u12896)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12895, _u12894), _u12898), _u12897))) | ( hAPP(_u12898, skolem263(_u12898, _u12897, _u12896, _u12895, _u12894)) != c_Groups_Oone__class_Oone(_u12894)) )).
% 27.71/27.95 cnf(matrix-5924, plain, ( ~class_Groups_Ocomm__monoid__add(_u12900) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12901), _u12902)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12901), _u12903)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12901, _u12900), _u12904), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12901, tc_HOL_Obool)), _u12902), _u12903)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12900), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12901, _u12900), _u12904), _u12902)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12901, _u12900), _u12904), _u12903))) | hBOOL(hAPP(hAPP(c_member(_u12901), skolem264(_u12904, _u12903, _u12902, _u12901, _u12900)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12901, tc_HOL_Obool)), _u12902), _u12903))) )).
% 27.71/27.95 cnf(matrix-5925, plain, ( ~class_Groups_Ocomm__monoid__add(_u12900) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12901), _u12902)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12901), _u12903)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12901, _u12900), _u12904), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12901, tc_HOL_Obool)), _u12902), _u12903)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12900), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12901, _u12900), _u12904), _u12902)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12901, _u12900), _u12904), _u12903))) | ( hAPP(_u12904, skolem264(_u12904, _u12903, _u12902, _u12901, _u12900)) != c_Groups_Ozero__class_Ozero(_u12900)) )).
% 27.71/27.95 cnf(matrix-5926, plain, ( ~class_Groups_Ocomm__monoid__add(_u12906) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12907), _u12908)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12907), _u12909)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12907, _u12906), _u12910), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12907, tc_HOL_Obool)), _u12908), _u12909)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12906), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12907, _u12906), _u12910), _u12908)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12907, _u12906), _u12910), _u12909))) | hBOOL(hAPP(hAPP(c_member(_u12907), skolem265(_u12910, _u12909, _u12908, _u12907, _u12906)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12907, tc_HOL_Obool)), _u12908), _u12909))) )).
% 27.71/27.95 cnf(matrix-5927, plain, ( ~class_Groups_Ocomm__monoid__add(_u12906) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12907), _u12908)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12907), _u12909)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12907, _u12906), _u12910), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12907, tc_HOL_Obool)), _u12908), _u12909)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12906), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12907, _u12906), _u12910), _u12908)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12907, _u12906), _u12910), _u12909))) | ( hAPP(_u12910, skolem265(_u12910, _u12909, _u12908, _u12907, _u12906)) != c_Groups_Ozero__class_Ozero(_u12906)) )).
% 27.71/27.95 cnf(matrix-5928, plain, ( ~class_Lattices_Olattice(_u12911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12911), _u12912)) | ~hBOOL(hAPP(hAPP(c_member(_u12911), _u12913), _u12912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12911, tc_HOL_Obool)), _u12912), hAPP(hAPP(c_Set_Oinsert(_u12911), _u12913), c_Orderings_Obot__class_Obot(tc_fun(_u12911, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u12911, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12911, _u12912) = _u12913) )).
% 27.71/27.95 cnf(matrix-5929, plain, ( ~class_Lattices_Olattice(_u12911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12911), _u12912)) | ~hBOOL(hAPP(hAPP(c_member(_u12911), _u12913), _u12912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12911, tc_HOL_Obool)), _u12912), hAPP(hAPP(c_Set_Oinsert(_u12911), _u12913), c_Orderings_Obot__class_Obot(tc_fun(_u12911, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u12911, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12911, _u12912) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12911), _u12913), c_Big__Operators_Olattice__class_OInf__fin(_u12911, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12911, tc_HOL_Obool)), _u12912), hAPP(hAPP(c_Set_Oinsert(_u12911), _u12913), c_Orderings_Obot__class_Obot(tc_fun(_u12911, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5930, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12915), _u12916)) | ~c_Equiv__Relations_Oequiv(_u12915, _u12916, _u12917) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u12918), hAPP(c_Finite__Set_Ocard(_u12915), _u12916))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12915, tc_HOL_Obool)), skolem266(_u12918, _u12917, _u12916, _u12915)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12915), _u12916), _u12917))) )).
% 27.71/27.95 cnf(matrix-5931, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12915), _u12916)) | ~c_Equiv__Relations_Oequiv(_u12915, _u12916, _u12917) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u12918), hAPP(c_Finite__Set_Ocard(_u12915), _u12916))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u12918), hAPP(c_Finite__Set_Ocard(_u12915), skolem266(_u12918, _u12917, _u12916, _u12915)))) )).
% 27.71/27.95 cnf(matrix-5932, plain, ( ~class_Lattices_Olattice(_u12919) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12919, hAPP(hAPP(c_Set_Oinsert(_u12919), _u12920), c_Orderings_Obot__class_Obot(tc_fun(_u12919, tc_HOL_Obool)))) = _u12920) )).
% 27.71/27.95 cnf(matrix-5933, plain, ( ~class_Lattices_Olattice(_u12921) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12921), _u12922)) | ~hBOOL(hAPP(hAPP(c_member(_u12921), _u12923), _u12922)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12921), _u12923), c_Big__Operators_Olattice__class_OInf__fin(_u12921, _u12922)) = _u12923) )).
% 27.71/27.95 cnf(matrix-5934, plain, ( ~class_Lattices_Olattice(_u12924) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12924), _u12925)) | ~hBOOL(hAPP(hAPP(c_member(_u12924), _u12926), _u12925)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12924), _u12926), c_Big__Operators_Olattice__class_OInf__fin(_u12924, _u12925)) = c_Big__Operators_Olattice__class_OInf__fin(_u12924, _u12925)) )).
% 27.71/27.95 cnf(matrix-5935, plain, ( ~class_Lattices_Olattice(_u12927) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12927), _u12928)) | ( _u12928 = c_Orderings_Obot__class_Obot(tc_fun(_u12927, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12927, hAPP(hAPP(c_Set_Oinsert(_u12927), _u12929), _u12928)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12927), _u12929), c_Big__Operators_Olattice__class_OInf__fin(_u12927, _u12928))) )).
% 27.71/27.95 cnf(matrix-5936, plain, ( ~class_Lattices_Olattice(_u12930) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12930), _u12931)) | ( _u12932 = c_Orderings_Obot__class_Obot(tc_fun(_u12930, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12930, tc_HOL_Obool)), _u12932), _u12931)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12930), c_Big__Operators_Olattice__class_OInf__fin(_u12930, _u12932)), c_Big__Operators_Olattice__class_OInf__fin(_u12930, _u12931)) = c_Big__Operators_Olattice__class_OInf__fin(_u12930, _u12931)) )).
% 27.71/27.95 cnf(matrix-5937, plain, ( ~class_Lattices_Olattice(_u12933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12933), _u12934)) | ( _u12934 = c_Orderings_Obot__class_Obot(tc_fun(_u12933, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12933), _u12935)) | ( _u12935 = c_Orderings_Obot__class_Obot(tc_fun(_u12933, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12933, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12933, tc_HOL_Obool)), _u12934), _u12935)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12933), c_Big__Operators_Olattice__class_OInf__fin(_u12933, _u12934)), c_Big__Operators_Olattice__class_OInf__fin(_u12933, _u12935))) )).
% 27.71/27.95 cnf(matrix-5938, plain, ( ~class_Lattices_Olattice(_u12936) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12936), _u12937)) | ( _u12937 = c_Orderings_Obot__class_Obot(tc_fun(_u12936, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12936), c_Big__Operators_Olattice__class_OInf__fin(_u12936, _u12937)), c_Big__Operators_Olattice__class_OSup__fin(_u12936, _u12937))) )).
% 27.71/27.95 cnf(matrix-5939, plain, ( ~class_Lattices_Olattice(_u12938) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12938), _u12939)) | hBOOL(hAPP(hAPP(c_member(_u12938), _u12940), _u12939)) | ( _u12939 = c_Orderings_Obot__class_Obot(tc_fun(_u12938, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12938, hAPP(hAPP(c_Set_Oinsert(_u12938), _u12940), _u12939)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12938), _u12940), c_Big__Operators_Olattice__class_OInf__fin(_u12938, _u12939))) )).
% 27.71/27.95 cnf(matrix-5940, plain, ( ~class_Lattices_Olattice(_u12941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12941), _u12942)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12941, tc_HOL_Obool)), _u12942), hAPP(hAPP(c_Set_Oinsert(_u12941), _u12943), c_Orderings_Obot__class_Obot(tc_fun(_u12941, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u12941, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12941, hAPP(hAPP(c_Set_Oinsert(_u12941), _u12943), _u12942)) = _u12943) )).
% 27.71/27.95 cnf(matrix-5941, plain, ( ~class_Lattices_Olattice(_u12941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12941), _u12942)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12941, tc_HOL_Obool)), _u12942), hAPP(hAPP(c_Set_Oinsert(_u12941), _u12943), c_Orderings_Obot__class_Obot(tc_fun(_u12941, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u12941, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12941, hAPP(hAPP(c_Set_Oinsert(_u12941), _u12943), _u12942)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12941), _u12943), c_Big__Operators_Olattice__class_OInf__fin(_u12941, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12941, tc_HOL_Obool)), _u12942), hAPP(hAPP(c_Set_Oinsert(_u12941), _u12943), c_Orderings_Obot__class_Obot(tc_fun(_u12941, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-5942, plain, ( ~class_Lattices_Olattice(_u12944) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12944), _u12945)) | ( _u12945 = c_Orderings_Obot__class_Obot(tc_fun(_u12944, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12944), _u12946)) | ( _u12946 = c_Orderings_Obot__class_Obot(tc_fun(_u12944, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12944, tc_HOL_Obool)), _u12945), _u12946) != c_Orderings_Obot__class_Obot(tc_fun(_u12944, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12944, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12944, tc_HOL_Obool)), _u12945), _u12946)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12944), c_Big__Operators_Olattice__class_OInf__fin(_u12944, _u12945)), c_Big__Operators_Olattice__class_OInf__fin(_u12944, _u12946))) )).
% 27.71/27.95 cnf(matrix-5943, plain, ( ~class_Lattices_Olattice(_u12947) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12947), _u12948)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12947), _u12949)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12947, tc_HOL_Obool)), _u12948), _u12949) = c_Orderings_Obot__class_Obot(tc_fun(_u12947, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12947), c_Big__Operators_Olattice__class_OInf__fin(_u12947, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12947, tc_HOL_Obool)), _u12948), _u12949))), c_Big__Operators_Olattice__class_OInf__fin(_u12947, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12947, tc_HOL_Obool)), _u12948), _u12949))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12947), c_Big__Operators_Olattice__class_OInf__fin(_u12947, _u12948)), c_Big__Operators_Olattice__class_OInf__fin(_u12947, _u12949))) )).
% 27.71/27.95 cnf(matrix-5944, plain, ( ~class_Lattices_Olattice(_u12952) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12952), _u12953)) | ( _u12953 = c_Orderings_Obot__class_Obot(tc_fun(_u12952, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12952), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12952), skolem267(_u12953, _u12952)), skolem268(_u12953, _u12952))), hAPP(hAPP(c_Set_Oinsert(_u12952), skolem267(_u12953, _u12952)), hAPP(hAPP(c_Set_Oinsert(_u12952), skolem268(_u12953, _u12952)), c_Orderings_Obot__class_Obot(tc_fun(_u12952, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u12952), c_Big__Operators_Olattice__class_OInf__fin(_u12952, _u12953)), _u12953)) )).
% 27.71/27.95 cnf(matrix-5945, plain, ( ~c_Finite__Set_Ofolding__idem(_u12954, _u12955, _u12956, _u12957) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12954), _u12958)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12954), _u12959)) | ( hAPP(_u12957, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12954, tc_HOL_Obool)), _u12958), _u12959)) = hAPP(c_Fun_Ocomp(_u12955, _u12955, _u12955, hAPP(_u12957, _u12958)), hAPP(_u12957, _u12959))) )).
% 27.71/27.95 cnf(matrix-5946, plain, ( ~c_Equiv__Relations_Oequiv(_u12962, c_Orderings_Otop__class_Otop(tc_fun(_u12962, tc_HOL_Obool)), _u12964) | c_Equiv__Relations_Oequivp(_u12962, hAPP(hAPP(c_COMBC(_u12962, tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool), tc_fun(_u12962, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12962, tc_fun(tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool), tc_fun(_u12962, tc_HOL_Obool)), _u12962), c_COMBC(_u12962, tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12962, tc_prod(_u12962, _u12962)), tc_fun(_u12962, tc_fun(tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool), tc_HOL_Obool)), _u12962), hAPP(c_COMBB(tc_prod(_u12962, _u12962), tc_fun(tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool), tc_HOL_Obool), _u12962), c_member(tc_prod(_u12962, _u12962)))), c_Product__Type_OPair(_u12962, _u12962)))), _u12964)) )).
% 27.71/27.95 cnf(matrix-5947, plain, ( ~c_Equiv__Relations_Oequivp(_u12963, hAPP(hAPP(c_COMBC(_u12963, tc_fun(tc_prod(_u12963, _u12963), tc_HOL_Obool), tc_fun(_u12963, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12963, tc_fun(tc_fun(tc_prod(_u12963, _u12963), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12963, _u12963), tc_HOL_Obool), tc_fun(_u12963, tc_HOL_Obool)), _u12963), c_COMBC(_u12963, tc_fun(tc_prod(_u12963, _u12963), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12963, tc_prod(_u12963, _u12963)), tc_fun(_u12963, tc_fun(tc_fun(tc_prod(_u12963, _u12963), tc_HOL_Obool), tc_HOL_Obool)), _u12963), hAPP(c_COMBB(tc_prod(_u12963, _u12963), tc_fun(tc_fun(tc_prod(_u12963, _u12963), tc_HOL_Obool), tc_HOL_Obool), _u12963), c_member(tc_prod(_u12963, _u12963)))), c_Product__Type_OPair(_u12963, _u12963)))), _u12965)) | c_Equiv__Relations_Oequiv(_u12963, c_Orderings_Otop__class_Otop(tc_fun(_u12963, tc_HOL_Obool)), _u12965) )).
% 27.71/27.95 cnf(matrix-5948, plain, ( c_Equiv__Relations_Oequivp(_u12966, c_fequal) )).
% 27.71/27.95 cnf(matrix-5949, plain, ( ~c_Equiv__Relations_Oequivp(_u12981, _u12983) | ~hBOOL(hAPP(hAPP(_u12983, _u12975), _u12973)) | ( hAPP(_u12983, _u12975) = hAPP(_u12983, _u12973)) )).
% 27.71/27.95 cnf(matrix-5950, plain, ( ~c_Equiv__Relations_Oequivp(_u12981, _u12983) | ( hAPP(_u12983, _u12976) != hAPP(_u12983, _u12974)) | hBOOL(hAPP(hAPP(_u12983, _u12976), _u12974)) )).
% 27.71/27.95 cnf(matrix-5951, plain, ( c_Equiv__Relations_Oequivp(_u12982, _u12984) | hBOOL(hAPP(hAPP(_u12984, skolem269(_u12984)), skolem270(_u12984))) | ( hAPP(_u12984, skolem271(_u12984)) = hAPP(_u12984, skolem272(_u12984))) )).
% 27.71/27.95 cnf(matrix-5952, plain, ( c_Equiv__Relations_Oequivp(_u12982, _u12984) | hBOOL(hAPP(hAPP(_u12984, skolem269(_u12984)), skolem270(_u12984))) | ~hBOOL(hAPP(hAPP(_u12984, skolem271(_u12984)), skolem272(_u12984))) )).
% 27.71/27.95 cnf(matrix-5953, plain, ( c_Equiv__Relations_Oequivp(_u12982, _u12984) | ( hAPP(_u12984, skolem269(_u12984)) != hAPP(_u12984, skolem270(_u12984))) | ( hAPP(_u12984, skolem271(_u12984)) = hAPP(_u12984, skolem272(_u12984))) )).
% 27.71/27.95 cnf(matrix-5954, plain, ( c_Equiv__Relations_Oequivp(_u12982, _u12984) | ( hAPP(_u12984, skolem269(_u12984)) != hAPP(_u12984, skolem270(_u12984))) | ~hBOOL(hAPP(hAPP(_u12984, skolem271(_u12984)), skolem272(_u12984))) )).
% 27.71/27.95 cnf(matrix-5955, plain, ( hBOOL(hAPP(hAPP(_u12986, _u12987), _u12987)) | ~c_Equiv__Relations_Oequivp(_u12985, _u12986) )).
% 27.71/27.95 cnf(matrix-5956, plain, ( ~hBOOL(hAPP(hAPP(_u12989, _u12990), _u12991)) | hBOOL(hAPP(hAPP(_u12989, _u12991), _u12990)) | ~c_Equiv__Relations_Oequivp(_u12988, _u12989) )).
% 27.71/27.95 cnf(matrix-5957, plain, ( ~hBOOL(hAPP(hAPP(_u12993, _u12994), _u12995)) | ~hBOOL(hAPP(hAPP(_u12993, _u12995), _u12996)) | hBOOL(hAPP(hAPP(_u12993, _u12994), _u12996)) | ~c_Equiv__Relations_Oequivp(_u12992, _u12993) )).
% 27.71/27.95 cnf(matrix-5958, plain, ( ( hAPP(c_Fun_Ocomp(_u12998, _u12998, _u12998, hAPP(_u12999, _u13001)), hAPP(_u12999, _u13001)) = hAPP(_u12999, _u13001)) | ~c_Finite__Set_Ofolding__idem(_u12997, _u12998, _u12999, _u13000) )).
% 27.71/27.95 cnf(matrix-5959, plain, ( ( hAPP(c_Fun_Ocomp(_u13003, _u13003, _u13006, hAPP(_u13004, _u13007)), hAPP(c_Fun_Ocomp(_u13003, _u13003, _u13006, hAPP(_u13004, _u13007)), _u13008)) = hAPP(c_Fun_Ocomp(_u13003, _u13003, _u13006, hAPP(_u13004, _u13007)), _u13008)) | ~c_Finite__Set_Ofolding__idem(_u13002, _u13003, _u13004, _u13005) )).
% 27.71/27.95 cnf(matrix-5960, plain, ( ~c_Finite__Set_Ofolding__idem(_u13009, _u13010, _u13011, _u13012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13009), _u13013)) | ~hBOOL(hAPP(hAPP(c_member(_u13009), _u13014), _u13013)) | ( hAPP(c_Fun_Ocomp(_u13010, _u13010, _u13010, hAPP(_u13012, _u13013)), hAPP(_u13011, _u13014)) = hAPP(_u13012, _u13013)) )).
% 27.71/27.95 cnf(matrix-5961, plain, ( ~c_Finite__Set_Ofolding__idem(_u13015, _u13016, _u13017, _u13018) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13015), _u13019)) | ( hAPP(_u13018, hAPP(hAPP(c_Set_Oinsert(_u13015), _u13020), _u13019)) = hAPP(c_Fun_Ocomp(_u13016, _u13016, _u13016, hAPP(_u13018, _u13019)), hAPP(_u13017, _u13020))) )).
% 27.71/27.95 cnf(matrix-5962, plain, ( ~c_Finite__Set_Ofolding__idem(_u13021, _u13022, _u13023, _u13024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13021), _u13025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13021, tc_HOL_Obool)), _u13026), _u13025)) | ( hAPP(c_Fun_Ocomp(_u13022, _u13022, _u13022, hAPP(_u13024, _u13025)), hAPP(_u13024, _u13026)) = hAPP(_u13024, _u13025)) )).
% 27.71/27.95 cnf(matrix-5963, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13027), _u13028)) | ~c_Fun_Oinj__on(_u13027, tc_fun(tc_fun(_u13027, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13027, tc_fun(tc_prod(_u13027, _u13027), tc_HOL_Obool), tc_fun(tc_fun(_u13027, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13027, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u13027, _u13027), tc_HOL_Obool), tc_fun(tc_fun(_u13027, tc_HOL_Obool), tc_HOL_Obool)), _u13027), c_Equiv__Relations_Oquotient(_u13027)), hAPP(hAPP(c_COMBC(_u13027, tc_fun(_u13027, tc_HOL_Obool), tc_fun(_u13027, tc_HOL_Obool)), c_Set_Oinsert(_u13027)), c_Orderings_Obot__class_Obot(tc_fun(_u13027, tc_HOL_Obool))))), _u13029), _u13028) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u13027, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13027), _u13028), _u13029)) = hAPP(c_Finite__Set_Ocard(_u13027), _u13028)) )).
% 27.71/27.95 cnf(matrix-5964, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13030) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13031), _u13032)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13031), _u13033)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13031, tc_HOL_Obool)), _u13032), _u13033) != c_Orderings_Obot__class_Obot(tc_fun(_u13031, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13030, _u13031, c_Groups_Otimes__class_Otimes(_u13030)), _u13034), c_Groups_Oone__class_Oone(_u13030)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13031, tc_HOL_Obool)), _u13032), _u13033)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13030), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13030, _u13031, c_Groups_Otimes__class_Otimes(_u13030)), _u13034), c_Groups_Oone__class_Oone(_u13030)), _u13032)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13030, _u13031, c_Groups_Otimes__class_Otimes(_u13030)), _u13034), c_Groups_Oone__class_Oone(_u13030)), _u13033))) )).
% 27.71/27.95 cnf(matrix-5965, plain, ( ~class_Lattices_Olattice(_u13037) | ( hAPP(_u13038, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13037), skolem273(_u13039, _u13038, _u13037)), skolem274(_u13039, _u13038, _u13037))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13037), hAPP(_u13038, skolem273(_u13039, _u13038, _u13037))), hAPP(_u13038, skolem274(_u13039, _u13038, _u13037)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13037), _u13039)) | ( _u13039 = c_Orderings_Obot__class_Obot(tc_fun(_u13037, tc_HOL_Obool))) | ( hAPP(_u13038, c_Big__Operators_Olattice__class_OInf__fin(_u13037, _u13039)) = c_Big__Operators_Olattice__class_OInf__fin(_u13037, hAPP(c_Set_Oimage(_u13037, _u13037, _u13038), _u13039))) )).
% 27.71/27.95 cnf(matrix-5966, plain, ( c_Fun_Oinj__on(_u13040, _u13041, _u13042, c_Orderings_Obot__class_Obot(tc_fun(_u13040, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5967, plain, ( ~class_Groups_Oordered__ab__group__add(_u13043) | c_Fun_Oinj__on(_u13043, _u13043, c_Groups_Ouminus__class_Ouminus(_u13043), _u13044) )).
% 27.71/27.95 cnf(matrix-5968, plain, ( ~c_Fun_Oinj__on(_u13045, _u13046, _u13047, _u13048) | ( _u13049 = _u13050) | ~hBOOL(hAPP(hAPP(c_member(_u13045), _u13049), _u13048)) | ~hBOOL(hAPP(hAPP(c_member(_u13045), _u13050), _u13048)) | ( hAPP(_u13047, _u13049) != hAPP(_u13047, _u13050)) )).
% 27.71/27.95 cnf(matrix-5969, plain, ( ~c_Fun_Oinj__on(_u13051, _u13052, _u13053, _u13054) | ~hBOOL(hAPP(hAPP(c_member(_u13051), _u13055), _u13054)) | ~hBOOL(hAPP(hAPP(c_member(_u13051), _u13056), _u13054)) | ( hAPP(_u13053, _u13055) != hAPP(_u13053, _u13056)) | ( _u13055 = _u13056) )).
% 27.71/27.95 cnf(matrix-5970, plain, ( ~c_Fun_Oinj__on(_u13051, _u13052, _u13053, _u13054) | ~hBOOL(hAPP(hAPP(c_member(_u13051), _u13055), _u13054)) | ~hBOOL(hAPP(hAPP(c_member(_u13051), _u13056), _u13054)) | ( _u13055 != _u13056) | ( hAPP(_u13053, _u13055) = hAPP(_u13053, _u13056)) )).
% 27.71/27.95 cnf(matrix-5971, plain, ( ~c_Fun_Oinj__on(_u13057, _u13058, _u13059, _u13060) | ( hAPP(_u13059, _u13061) != hAPP(_u13059, _u13062)) | ~hBOOL(hAPP(hAPP(c_member(_u13057), _u13061), _u13060)) | ~hBOOL(hAPP(hAPP(c_member(_u13057), _u13062), _u13060)) | ( _u13061 = _u13062) )).
% 27.71/27.95 cnf(matrix-5972, plain, ( ~c_Fun_Oinj__on(_u13063, _u13064, _u13065, _u13066) | ( hAPP(c_Finite__Set_Ocard(_u13064), hAPP(c_Set_Oimage(_u13063, _u13064, _u13065), _u13066)) = hAPP(c_Finite__Set_Ocard(_u13063), _u13066)) )).
% 27.71/27.95 cnf(matrix-5973, plain, ( ~c_Fun_Oinj__on(_u13067, _u13068, _u13069, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13067, tc_HOL_Obool)), _u13070), _u13071)) | ( hAPP(c_Set_Oimage(_u13067, _u13068, _u13069), _u13070) != hAPP(c_Set_Oimage(_u13067, _u13068, _u13069), _u13071)) | ( _u13070 = _u13071) )).
% 27.71/27.95 cnf(matrix-5974, plain, ( ~c_Fun_Oinj__on(_u13067, _u13068, _u13069, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13067, tc_HOL_Obool)), _u13070), _u13071)) | ( _u13070 != _u13071) | ( hAPP(c_Set_Oimage(_u13067, _u13068, _u13069), _u13070) = hAPP(c_Set_Oimage(_u13067, _u13068, _u13069), _u13071)) )).
% 27.71/27.95 cnf(matrix-5975, plain, ( ~c_Fun_Oinj__on(_u13072, _u13073, _u13074, _u13075) | ~c_Fun_Oinj__on(_u13073, _u13076, _u13077, hAPP(c_Set_Oimage(_u13072, _u13073, _u13074), _u13075)) | c_Fun_Oinj__on(_u13072, _u13076, hAPP(c_Fun_Ocomp(_u13073, _u13076, _u13072, _u13077), _u13074), _u13075) )).
% 27.71/27.95 cnf(matrix-5976, plain, ( ~c_Fun_Oinj__on(_u13072, _u13073, _u13074, _u13075) | ~c_Fun_Oinj__on(_u13072, _u13076, hAPP(c_Fun_Ocomp(_u13073, _u13076, _u13072, _u13077), _u13074), _u13075) | c_Fun_Oinj__on(_u13073, _u13076, _u13077, hAPP(c_Set_Oimage(_u13072, _u13073, _u13074), _u13075)) )).
% 27.71/27.95 cnf(matrix-5977, plain, ( ~c_Fun_Oinj__on(_u13078, _u13079, _u13080, _u13081) | ~c_Fun_Oinj__on(_u13079, _u13082, _u13083, hAPP(c_Set_Oimage(_u13078, _u13079, _u13080), _u13081)) | c_Fun_Oinj__on(_u13078, _u13082, hAPP(c_Fun_Ocomp(_u13079, _u13082, _u13078, _u13083), _u13080), _u13081) )).
% 27.71/27.95 cnf(matrix-5978, plain, ( ~c_Fun_Oinj__on(_u13084, _u13085, hAPP(c_Fun_Ocomp(_u13086, _u13085, _u13084, _u13087), _u13088), _u13089) | c_Fun_Oinj__on(_u13086, _u13085, _u13087, hAPP(c_Set_Oimage(_u13084, _u13086, _u13088), _u13089)) )).
% 27.71/27.95 cnf(matrix-5979, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13090), hAPP(c_Set_Oimage(_u13091, _u13090, _u13092), _u13093))) | ~c_Fun_Oinj__on(_u13091, _u13090, _u13092, _u13093) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13091), _u13093)) )).
% 27.71/27.95 cnf(matrix-5980, plain, ( ~c_Fun_Oinj__on(_u13094, _u13095, _u13096, _u13097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13094, tc_HOL_Obool)), _u13098), _u13097)) | c_Fun_Oinj__on(_u13094, _u13095, _u13096, _u13098) )).
% 27.71/27.95 cnf(matrix-5981, plain, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13099, _u13100, _u13101), _u13102), _u13103), c_Orderings_Obot__class_Obot(tc_fun(_u13100, tc_HOL_Obool))) = _u13103) )).
% 27.71/27.95 cnf(matrix-5982, plain, ( c_Fun_Oinj__on(_u13104, _u13104, c_COMBI(_u13104), _u13105) )).
% 27.71/27.95 cnf(matrix-5983, plain, ( ~c_Fun_Oinj__on(_u13114, _u13116, _u13118, _u13120) | ~hBOOL(hAPP(hAPP(c_member(_u13114), _u13107), _u13120)) | ~hBOOL(hAPP(hAPP(c_member(_u13114), _u13106), _u13120)) | ( hAPP(_u13118, _u13107) != hAPP(_u13118, _u13106)) | ( _u13107 = _u13106) )).
% 27.71/27.95 cnf(matrix-5984, plain, ( c_Fun_Oinj__on(_u13115, _u13117, _u13119, _u13121) | hBOOL(hAPP(hAPP(c_member(_u13115), skolem275(_u13121, _u13119, _u13117, _u13115)), _u13121)) )).
% 27.71/27.95 cnf(matrix-5985, plain, ( c_Fun_Oinj__on(_u13115, _u13117, _u13119, _u13121) | hBOOL(hAPP(hAPP(c_member(_u13115), skolem276(_u13121, _u13119, _u13117, _u13115)), _u13121)) )).
% 27.71/27.95 cnf(matrix-5986, plain, ( c_Fun_Oinj__on(_u13115, _u13117, _u13119, _u13121) | ( hAPP(_u13119, skolem275(_u13121, _u13119, _u13117, _u13115)) = hAPP(_u13119, skolem276(_u13121, _u13119, _u13117, _u13115))) )).
% 27.71/27.95 cnf(matrix-5987, plain, ( c_Fun_Oinj__on(_u13115, _u13117, _u13119, _u13121) | ( skolem275(_u13121, _u13119, _u13117, _u13115) != skolem276(_u13121, _u13119, _u13117, _u13115)) )).
% 27.71/27.95 cnf(matrix-5988, plain, ( ~c_Fun_Oinj__on(_u13122, _u13123, _u13124, _u13125) | c_Fun_Oinj__on(_u13122, _u13123, _u13124, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13122, tc_HOL_Obool)), _u13125), _u13126)) )).
% 27.71/27.95 cnf(matrix-5989, plain, ( ~c_Fun_Oinj__on(_u13127, _u13128, hAPP(c_Fun_Ocomp(_u13129, _u13128, _u13127, _u13130), _u13131), _u13132) | c_Fun_Oinj__on(_u13127, _u13129, _u13131, _u13132) )).
% 27.71/27.95 cnf(matrix-5990, plain, ( ~class_Groups_Oab__semigroup__mult(_u13133) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13134), _u13135)) | ~c_Fun_Oinj__on(_u13134, _u13136, _u13137, _u13135) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13133, _u13136, c_Groups_Otimes__class_Otimes(_u13133)), _u13138), _u13139), hAPP(c_Set_Oimage(_u13134, _u13136, _u13137), _u13135)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13133, _u13134, c_Groups_Otimes__class_Otimes(_u13133)), hAPP(c_Fun_Ocomp(_u13136, _u13133, _u13134, _u13138), _u13137)), _u13139), _u13135)) )).
% 27.71/27.95 cnf(matrix-5991, plain, ( ~c_Fun_Oinj__on(_u13140, _u13141, _u13142, c_Orderings_Otop__class_Otop(tc_fun(_u13140, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13140, _u13141, _u13142), _u13143) != hAPP(c_Set_Oimage(_u13140, _u13141, _u13142), _u13144)) | ( _u13143 = _u13144) )).
% 27.71/27.95 cnf(matrix-5992, plain, ( ~c_Fun_Oinj__on(_u13140, _u13141, _u13142, c_Orderings_Otop__class_Otop(tc_fun(_u13140, tc_HOL_Obool))) | ( _u13143 != _u13144) | ( hAPP(c_Set_Oimage(_u13140, _u13141, _u13142), _u13143) = hAPP(c_Set_Oimage(_u13140, _u13141, _u13142), _u13144)) )).
% 27.71/27.95 cnf(matrix-5993, plain, ( ~c_Fun_Oinj__on(_u13145, _u13146, _u13147, c_Orderings_Otop__class_Otop(tc_fun(_u13145, tc_HOL_Obool))) | ( hAPP(_u13147, _u13148) != hAPP(_u13147, _u13149)) | ( _u13148 = _u13149) )).
% 27.71/27.95 cnf(matrix-5994, plain, ( ~c_Fun_Oinj__on(_u13145, _u13146, _u13147, c_Orderings_Otop__class_Otop(tc_fun(_u13145, tc_HOL_Obool))) | ( _u13148 != _u13149) | ( hAPP(_u13147, _u13148) = hAPP(_u13147, _u13149)) )).
% 27.71/27.95 cnf(matrix-5995, plain, ( ( hAPP(_u13152, _u13153) != hAPP(_u13152, _u13154)) | ( _u13153 = _u13154) | ~c_Fun_Oinj__on(_u13150, _u13151, _u13152, c_Orderings_Otop__class_Otop(tc_fun(_u13150, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5996, plain, ( ~c_Fun_Oinj__on(_u13155, _u13156, _u13157, c_Orderings_Otop__class_Otop(tc_fun(_u13155, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13155, tc_fun(_u13158, _u13156), hAPP(hAPP(c_COMBB(_u13156, tc_fun(_u13158, _u13156), _u13155), c_COMBK(_u13156, _u13158)), _u13157), c_Orderings_Otop__class_Otop(tc_fun(_u13155, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5997, plain, ( ~c_Fun_Oinj__on(_u13159, _u13160, _u13161, c_Orderings_Otop__class_Otop(tc_fun(_u13159, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13162, _u13159, _u13163, c_Orderings_Otop__class_Otop(tc_fun(_u13162, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13162, _u13160, hAPP(c_Fun_Ocomp(_u13159, _u13160, _u13162, _u13161), _u13163), c_Orderings_Otop__class_Otop(tc_fun(_u13162, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-5998, plain, ( ~c_Fun_Oinj__on(_u13164, _u13165, _u13166, _u13167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u13164, tc_HOL_Obool)), _u13168), _u13167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u13165, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13164, _u13165, _u13166), _u13168)), hAPP(c_Set_Oimage(_u13164, _u13165, _u13166), _u13167))) )).
% 27.71/27.95 cnf(matrix-5999, plain, ( ~c_Fun_Oinj__on(_u13169, _u13170, _u13171, _u13172) | ~c_Fun_Oinj__on(_u13169, _u13170, _u13171, _u13173) | c_Fun_Oinj__on(_u13169, _u13170, _u13171, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13169, tc_HOL_Obool)), _u13172), _u13173)) )).
% 27.71/27.95 cnf(matrix-6000, plain, ( ~c_Fun_Oinj__on(_u13178, _u13179, _u13180, c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13179), _u13181), hAPP(c_Set_Oimage(_u13178, _u13179, _u13180), c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))))) | ( _u13181 = hAPP(_u13180, skolem277(_u13181, _u13180, _u13179, _u13178))) )).
% 27.71/27.95 cnf(matrix-6001, plain, ( ~c_Fun_Oinj__on(_u13178, _u13179, _u13180, c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13179), _u13181), hAPP(c_Set_Oimage(_u13178, _u13179, _u13180), c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))))) | ( _u13181 != hAPP(_u13180, _u13174)) | ( _u13174 = skolem277(_u13181, _u13180, _u13179, _u13178)) )).
% 27.71/27.95 cnf(matrix-6002, plain, ( ~c_Fun_Oinj__on(_u13178, _u13179, _u13180, c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13179), _u13181), hAPP(c_Set_Oimage(_u13178, _u13179, _u13180), c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))))) | ( _u13181 != hAPP(_u13180, _u13177)) | ( _u13181 = hAPP(_u13180, skolem278(_u13181, _u13180, _u13179, _u13178, _u13177))) )).
% 27.71/27.95 cnf(matrix-6003, plain, ( ~c_Fun_Oinj__on(_u13178, _u13179, _u13180, c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13179), _u13181), hAPP(c_Set_Oimage(_u13178, _u13179, _u13180), c_Orderings_Otop__class_Otop(tc_fun(_u13178, tc_HOL_Obool))))) | ( _u13181 != hAPP(_u13180, _u13177)) | ( skolem278(_u13181, _u13180, _u13179, _u13178, _u13177) != _u13177) )).
% 27.71/27.95 cnf(matrix-6004, plain, ( ~c_Fun_Oinj__on(_u13182, _u13183, _u13184, c_Orderings_Otop__class_Otop(tc_fun(_u13182, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13183), hAPP(_u13184, _u13185)), hAPP(c_Set_Oimage(_u13182, _u13183, _u13184), _u13186))) | hBOOL(hAPP(hAPP(c_member(_u13182), _u13185), _u13186)) )).
% 27.71/27.95 cnf(matrix-6005, plain, ( ~c_Fun_Oinj__on(_u13182, _u13183, _u13184, c_Orderings_Otop__class_Otop(tc_fun(_u13182, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13182), _u13185), _u13186)) | hBOOL(hAPP(hAPP(c_member(_u13183), hAPP(_u13184, _u13185)), hAPP(c_Set_Oimage(_u13182, _u13183, _u13184), _u13186))) )).
% 27.71/27.95 cnf(matrix-6006, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u13187, _u13188, _u13189, _u13190, _u13191, _u13192) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13188), _u13193)) | ( hAPP(_u13192, _u13193) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13187, _u13188, _u13189), _u13191), _u13190), _u13193)) )).
% 27.71/27.95 cnf(matrix-6007, plain, ( ( _u13198 = c_Orderings_Obot__class_Obot(tc_fun(_u13199, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13199, _u13200, _u13194, _u13198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13200, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13199, _u13200, _u13194), _u13198)), _u13201)) | ( hAPP(c_Set_Oimage(_u13200, _u13199, skolem279(_u13201, _u13200, _u13199, _u13198)), _u13201) = _u13198) )).
% 27.71/27.95 cnf(matrix-6008, plain, ( ( _u13198 = c_Orderings_Obot__class_Obot(tc_fun(_u13199, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13200, _u13199, _u13196), _u13201) != _u13198) | c_Fun_Oinj__on(_u13199, _u13200, skolem280(_u13201, _u13200, _u13199, _u13198), _u13198) )).
% 27.71/27.95 cnf(matrix-6009, plain, ( ( _u13198 = c_Orderings_Obot__class_Obot(tc_fun(_u13199, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13200, _u13199, _u13196), _u13201) != _u13198) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13200, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13199, _u13200, skolem280(_u13201, _u13200, _u13199, _u13198)), _u13198)), _u13201)) )).
% 27.71/27.95 cnf(matrix-6010, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13202), _u13203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13202, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13202, _u13202, _u13204), _u13203)), _u13203)) | ~c_Fun_Oinj__on(_u13202, _u13202, _u13204, _u13203) | ( hAPP(c_Set_Oimage(_u13202, _u13202, _u13204), _u13203) = _u13203) )).
% 27.71/27.95 cnf(matrix-6011, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13205), _u13206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13205, tc_HOL_Obool)), _u13206), hAPP(c_Set_Oimage(_u13205, _u13205, _u13207), _u13206))) | c_Fun_Oinj__on(_u13205, _u13205, _u13207, _u13206) )).
% 27.71/27.95 cnf(matrix-6012, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13208), c_Orderings_Otop__class_Otop(tc_fun(_u13208, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u13208, _u13208, _u13209), c_Orderings_Otop__class_Otop(tc_fun(_u13208, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13208, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13208, _u13208, _u13209, c_Orderings_Otop__class_Otop(tc_fun(_u13208, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6013, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13210), c_Orderings_Otop__class_Otop(tc_fun(_u13210, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u13210, _u13210, _u13211, c_Orderings_Otop__class_Otop(tc_fun(_u13210, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13210, _u13210, _u13211), c_Orderings_Otop__class_Otop(tc_fun(_u13210, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13210, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6014, plain, ( ~c_Fun_Oinj__on(_u13212, _u13213, _u13214, c_Orderings_Otop__class_Otop(tc_fun(_u13212, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13213, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13212, _u13213, _u13214), _u13215)), hAPP(c_Set_Oimage(_u13212, _u13213, _u13214), _u13216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13212, tc_HOL_Obool)), _u13215), _u13216)) )).
% 27.71/27.95 cnf(matrix-6015, plain, ( ~c_Fun_Oinj__on(_u13212, _u13213, _u13214, c_Orderings_Otop__class_Otop(tc_fun(_u13212, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13212, tc_HOL_Obool)), _u13215), _u13216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13213, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13212, _u13213, _u13214), _u13215)), hAPP(c_Set_Oimage(_u13212, _u13213, _u13214), _u13216))) )).
% 27.71/27.95 cnf(matrix-6016, plain, ( ~c_Fun_Oinj__on(_u13217, _u13218, _u13219, _u13220) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13217, tc_HOL_Obool)), _u13221), _u13220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13217, tc_HOL_Obool)), _u13222), _u13220)) | ( hAPP(c_Set_Oimage(_u13217, _u13218, _u13219), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13217, tc_HOL_Obool)), _u13221), _u13222)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13218, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13217, _u13218, _u13219), _u13221)), hAPP(c_Set_Oimage(_u13217, _u13218, _u13219), _u13222))) )).
% 27.71/27.95 cnf(matrix-6017, plain, ( ~c_Fun_Oinj__on(_u13223, _u13224, _u13225, c_Orderings_Otop__class_Otop(tc_fun(_u13223, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13223, _u13224, _u13225), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13223, tc_HOL_Obool)), _u13226), _u13227)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13224, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13223, _u13224, _u13225), _u13226)), hAPP(c_Set_Oimage(_u13223, _u13224, _u13225), _u13227))) )).
% 27.71/27.95 cnf(matrix-6018, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13228), _u13229)) | ~c_Fun_Oinj__on(_u13228, _u13230, _u13231, _u13229) | ( hAPP(c_Finite__Set_Ocard(_u13230), hAPP(c_Set_Oimage(_u13228, _u13230, _u13231), _u13229)) = hAPP(c_Finite__Set_Ocard(_u13228), _u13229)) )).
% 27.71/27.95 cnf(matrix-6019, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13228), _u13229)) | ( hAPP(c_Finite__Set_Ocard(_u13230), hAPP(c_Set_Oimage(_u13228, _u13230, _u13231), _u13229)) != hAPP(c_Finite__Set_Ocard(_u13228), _u13229)) | c_Fun_Oinj__on(_u13228, _u13230, _u13231, _u13229) )).
% 27.71/27.95 cnf(matrix-6020, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13232), _u13233)) | ( hAPP(c_Finite__Set_Ocard(_u13234), hAPP(c_Set_Oimage(_u13232, _u13234, _u13235), _u13233)) != hAPP(c_Finite__Set_Ocard(_u13232), _u13233)) | c_Fun_Oinj__on(_u13232, _u13234, _u13235, _u13233) )).
% 27.71/27.95 cnf(matrix-6021, plain, ( ~c_Fun_Oinj__on(_u13236, _u13237, _u13238, _u13239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13236, tc_HOL_Obool)), _u13240), _u13239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13236, tc_HOL_Obool)), _u13241), _u13239)) | ( hAPP(c_Set_Oimage(_u13236, _u13237, _u13238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13236, tc_HOL_Obool)), _u13240), _u13241)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13237, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13236, _u13237, _u13238), _u13240)), hAPP(c_Set_Oimage(_u13236, _u13237, _u13238), _u13241))) )).
% 27.71/27.95 cnf(matrix-6022, plain, ( ~c_Fun_Oinj__on(_u13242, _u13243, _u13244, c_Orderings_Otop__class_Otop(tc_fun(_u13242, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13242, _u13243, _u13244), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13242, tc_HOL_Obool)), _u13245), _u13246)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13243, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13242, _u13243, _u13244), _u13245)), hAPP(c_Set_Oimage(_u13242, _u13243, _u13244), _u13246))) )).
% 27.71/27.95 cnf(matrix-6023, plain, ( ~class_Groups_Ocomm__monoid__add(_u13247) | ~c_Fun_Oinj__on(_u13248, _u13249, _u13250, _u13251) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13249, _u13247), _u13252), hAPP(c_Set_Oimage(_u13248, _u13249, _u13250), _u13251)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13248, _u13247), hAPP(c_Fun_Ocomp(_u13249, _u13247, _u13248, _u13252), _u13250)), _u13251)) )).
% 27.71/27.95 cnf(matrix-6024, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13253), hAPP(c_Set_Oimage(_u13254, _u13253, _u13255), _u13256))), hAPP(c_Finite__Set_Ocard(_u13254), _u13256))) | ~c_Fun_Oinj__on(_u13254, _u13253, _u13255, _u13256) )).
% 27.71/27.95 cnf(matrix-6025, plain, ( ~c_Fun_Oinj__on(_u13257, _u13258, _u13259, _u13260) | hBOOL(hAPP(hAPP(c_member(_u13258), _u13261), hAPP(c_Set_Oimage(_u13257, _u13258, _u13259), _u13260))) | c_Fun_Oinj__on(_u13257, _u13258, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13257, _u13258), _u13259), _u13262), _u13261), _u13260) )).
% 27.71/27.95 cnf(matrix-6026, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13263) | ~c_Fun_Oinj__on(_u13264, _u13265, _u13266, _u13267) | ( _u13268 != hAPP(c_Set_Oimage(_u13264, _u13265, _u13266), _u13267)) | ( _u13269 != hAPP(c_Fun_Ocomp(_u13265, _u13263, _u13264, _u13270), _u13266)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13265, _u13263), _u13270), _u13268) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13264, _u13263), _u13269), _u13267)) )).
% 27.71/27.95 cnf(matrix-6027, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13271) | ~c_Fun_Oinj__on(_u13272, _u13273, _u13274, _u13275) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13273, _u13271), _u13276), hAPP(c_Set_Oimage(_u13272, _u13273, _u13274), _u13275)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13272, _u13271), hAPP(c_Fun_Ocomp(_u13273, _u13271, _u13272, _u13276), _u13274)), _u13275)) )).
% 27.71/27.95 cnf(matrix-6028, plain, ( c_Fun_Oinj__on(_u13277, tc_fun(_u13277, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13277, tc_fun(_u13277, tc_HOL_Obool), tc_fun(_u13277, tc_HOL_Obool)), c_Set_Oinsert(_u13277)), c_Orderings_Obot__class_Obot(tc_fun(_u13277, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13277, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6029, plain, ( ~class_Groups_Ocomm__monoid__add(_u13278) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13279), _u13280)) | ~c_Fun_Oinj__on(_u13279, _u13279, _u13281, _u13280) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13279, _u13278), _u13282), hAPP(c_Set_Oimage(_u13279, _u13279, _u13281), _u13280)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13279, _u13278), hAPP(c_Fun_Ocomp(_u13279, _u13278, _u13279, _u13282), _u13281)), _u13280)) )).
% 27.71/27.95 cnf(matrix-6030, plain, ( ~c_Fun_Oinj__on(_u13283, _u13284, _u13285, _u13286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13284, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13283, _u13284, _u13285), _u13286)), _u13287)) | ~c_Fun_Oinj__on(_u13284, _u13283, _u13288, _u13287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13283, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13284, _u13283, _u13288), _u13287)), _u13286)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13283), _u13286)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13284), _u13287)) | ( hAPP(c_Finite__Set_Ocard(_u13283), _u13286) = hAPP(c_Finite__Set_Ocard(_u13284), _u13287)) )).
% 27.71/27.95 cnf(matrix-6031, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13289) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13290), _u13291)) | ~c_Fun_Oinj__on(_u13290, _u13290, _u13292, _u13291) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13290, _u13289), _u13293), hAPP(c_Set_Oimage(_u13290, _u13290, _u13292), _u13291)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13290, _u13289), hAPP(c_Fun_Ocomp(_u13290, _u13289, _u13290, _u13293), _u13292)), _u13291)) )).
% 27.71/27.95 cnf(matrix-6032, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13294) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13295), _u13296)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13294, _u13295, c_Groups_Otimes__class_Otimes(_u13294)), hAPP(hAPP(c_COMBS(_u13295, _u13294, _u13294), hAPP(hAPP(c_COMBB(_u13294, tc_fun(_u13294, _u13294), _u13295), c_Groups_Otimes__class_Otimes(_u13294)), _u13297)), _u13298)), c_Groups_Oone__class_Oone(_u13294)), _u13296) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13294), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13294, _u13295, c_Groups_Otimes__class_Otimes(_u13294)), _u13297), c_Groups_Oone__class_Oone(_u13294)), _u13296)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13294, _u13295, c_Groups_Otimes__class_Otimes(_u13294)), _u13298), c_Groups_Oone__class_Oone(_u13294)), _u13296))) )).
% 27.71/27.95 cnf(matrix-6033, plain, ( ~c_Fun_Oinj__on(_u13299, _u13300, _u13301, c_Orderings_Otop__class_Otop(tc_fun(_u13299, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13300, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13299, _u13300, _u13301), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13299, tc_HOL_Obool)), _u13302))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13300, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13299, _u13300, _u13301), _u13302)))) )).
% 27.71/27.95 cnf(matrix-6034, plain, ( ~class_Groups_Oab__semigroup__mult(_u13303) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13304), _u13305)) | hBOOL(hAPP(hAPP(c_member(_u13304), _u13306), _u13305)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13303, _u13304, c_Groups_Otimes__class_Otimes(_u13303)), _u13307), _u13308), hAPP(hAPP(c_Set_Oinsert(_u13304), _u13306), _u13305)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13303), hAPP(_u13307, _u13306)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13303, _u13304, c_Groups_Otimes__class_Otimes(_u13303)), _u13307), _u13308), _u13305))) )).
% 27.71/27.95 cnf(matrix-6035, plain, ( ~class_Groups_Ocomm__monoid__add(_u13309) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13310), _u13311)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13310, _u13309), _u13312), _u13311) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13309, _u13310, c_Groups_Oplus__class_Oplus(_u13309)), _u13312), c_Groups_Ozero__class_Ozero(_u13309)), _u13311)) )).
% 27.71/27.95 cnf(matrix-6036, plain, ( ~class_Groups_Ocomm__monoid__add(_u13313) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13314), _u13315)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13314, _u13313), _u13316), _u13315) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13313, _u13314, c_Groups_Oplus__class_Oplus(_u13313)), _u13316), c_Groups_Ozero__class_Ozero(_u13313)), _u13315)) )).
% 27.71/27.95 cnf(matrix-6037, plain, ( ~class_Groups_Ocomm__monoid__add(_u13313) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13314), _u13315)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13314, _u13313), _u13316), _u13315) = c_Groups_Ozero__class_Ozero(_u13313)) )).
% 27.71/27.95 cnf(matrix-6038, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13317) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13318), _u13319)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13318, _u13317), _u13320), _u13319) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13317, _u13318, c_Groups_Otimes__class_Otimes(_u13317)), _u13320), c_Groups_Oone__class_Oone(_u13317)), _u13319)) )).
% 27.71/27.95 cnf(matrix-6039, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13317) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13318), _u13319)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13318, _u13317), _u13320), _u13319) = c_Groups_Oone__class_Oone(_u13317)) )).
% 27.71/27.95 cnf(matrix-6040, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13322), _u13323)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13322, _u13321), _u13324), _u13323) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13321, _u13322, c_Groups_Otimes__class_Otimes(_u13321)), _u13324), c_Groups_Oone__class_Oone(_u13321)), _u13323)) )).
% 27.71/27.95 cnf(matrix-6041, plain, ( ~c_Fun_Oinj__on(_u13330, _u13332, _u13334, hAPP(hAPP(c_Set_Oinsert(_u13330), _u13336), _u13338)) | c_Fun_Oinj__on(_u13330, _u13332, _u13334, _u13338) )).
% 27.71/27.95 cnf(matrix-6042, plain, ( ~c_Fun_Oinj__on(_u13330, _u13332, _u13334, hAPP(hAPP(c_Set_Oinsert(_u13330), _u13336), _u13338)) | ~hBOOL(hAPP(hAPP(c_member(_u13332), hAPP(_u13334, _u13336)), hAPP(c_Set_Oimage(_u13330, _u13332, _u13334), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13330, tc_HOL_Obool)), _u13338), hAPP(hAPP(c_Set_Oinsert(_u13330), _u13336), c_Orderings_Obot__class_Obot(tc_fun(_u13330, tc_HOL_Obool))))))) )).
% 27.71/27.95 cnf(matrix-6043, plain, ( ~c_Fun_Oinj__on(_u13331, _u13333, _u13335, _u13339) | hBOOL(hAPP(hAPP(c_member(_u13333), hAPP(_u13335, _u13337)), hAPP(c_Set_Oimage(_u13331, _u13333, _u13335), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13331, tc_HOL_Obool)), _u13339), hAPP(hAPP(c_Set_Oinsert(_u13331), _u13337), c_Orderings_Obot__class_Obot(tc_fun(_u13331, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u13331, _u13333, _u13335, hAPP(hAPP(c_Set_Oinsert(_u13331), _u13337), _u13339)) )).
% 27.71/27.95 cnf(matrix-6044, plain, ( ~c_Fun_Oinj__on(_u13345, _u13347, _u13349, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13345, tc_HOL_Obool)), _u13351), _u13353)) | c_Fun_Oinj__on(_u13345, _u13347, _u13349, _u13351) )).
% 27.71/27.95 cnf(matrix-6045, plain, ( ~c_Fun_Oinj__on(_u13345, _u13347, _u13349, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13345, tc_HOL_Obool)), _u13351), _u13353)) | c_Fun_Oinj__on(_u13345, _u13347, _u13349, _u13353) )).
% 27.71/27.95 cnf(matrix-6046, plain, ( ~c_Fun_Oinj__on(_u13345, _u13347, _u13349, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13345, tc_HOL_Obool)), _u13351), _u13353)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13347, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13345, _u13347, _u13349), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13345, tc_HOL_Obool)), _u13351), _u13353))), hAPP(c_Set_Oimage(_u13345, _u13347, _u13349), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13345, tc_HOL_Obool)), _u13353), _u13351))) = c_Orderings_Obot__class_Obot(tc_fun(_u13347, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6047, plain, ( ~c_Fun_Oinj__on(_u13346, _u13348, _u13350, _u13352) | ~c_Fun_Oinj__on(_u13346, _u13348, _u13350, _u13354) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13348, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13346, _u13348, _u13350), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13346, tc_HOL_Obool)), _u13352), _u13354))), hAPP(c_Set_Oimage(_u13346, _u13348, _u13350), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13346, tc_HOL_Obool)), _u13354), _u13352))) != c_Orderings_Obot__class_Obot(tc_fun(_u13348, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13346, _u13348, _u13350, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13346, tc_HOL_Obool)), _u13352), _u13354)) )).
% 27.71/27.95 cnf(matrix-6048, plain, ( ~c_Fun_Oinj__on(_u13355, _u13356, _u13357, _u13358) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13356, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13355, _u13356, _u13357), _u13358)), _u13359)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13356), _u13359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13355), _u13358)), hAPP(c_Finite__Set_Ocard(_u13356), _u13359))) )).
% 27.71/27.95 cnf(matrix-6049, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13362), _u13363)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13364), _u13365)) | ~c_Fun_Oinj__on(_u13362, _u13364, _u13360, _u13363) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13364, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13362, _u13364, _u13360), _u13363)), _u13365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13362), _u13363)), hAPP(c_Finite__Set_Ocard(_u13364), _u13365))) )).
% 27.71/27.95 cnf(matrix-6050, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13362), _u13363)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13364), _u13365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13362), _u13363)), hAPP(c_Finite__Set_Ocard(_u13364), _u13365))) | c_Fun_Oinj__on(_u13362, _u13364, skolem281(_u13365, _u13364, _u13363, _u13362), _u13363) )).
% 27.71/27.95 cnf(matrix-6051, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13362), _u13363)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13364), _u13365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13362), _u13363)), hAPP(c_Finite__Set_Ocard(_u13364), _u13365))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13364, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13362, _u13364, skolem281(_u13365, _u13364, _u13363, _u13362)), _u13363)), _u13365)) )).
% 27.71/27.95 cnf(matrix-6052, plain, ( ~c_Fun_Oinj__on(_u13366, tc_fun(tc_fun(_u13366, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13366, tc_fun(tc_prod(_u13366, _u13366), tc_HOL_Obool), tc_fun(tc_fun(_u13366, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13366, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u13366, _u13366), tc_HOL_Obool), tc_fun(tc_fun(_u13366, tc_HOL_Obool), tc_HOL_Obool)), _u13366), c_Equiv__Relations_Oquotient(_u13366)), hAPP(hAPP(c_COMBC(_u13366, tc_fun(_u13366, tc_HOL_Obool), tc_fun(_u13366, tc_HOL_Obool)), c_Set_Oinsert(_u13366)), c_Orderings_Obot__class_Obot(tc_fun(_u13366, tc_HOL_Obool))))), _u13367), _u13368) | ~hBOOL(hAPP(hAPP(c_member(_u13366), _u13369), _u13368)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13366), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13366, tc_HOL_Obool)), _u13368), hAPP(hAPP(c_Set_Oinsert(_u13366), _u13369), c_Orderings_Obot__class_Obot(tc_fun(_u13366, tc_HOL_Obool))))), _u13367) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u13366, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13366), _u13368), _u13367)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13366), hAPP(hAPP(c_Set_Oinsert(_u13366), _u13369), c_Orderings_Obot__class_Obot(tc_fun(_u13366, tc_HOL_Obool)))), _u13367))) )).
% 27.71/27.95 cnf(matrix-6053, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13370) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13371), _u13372)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13371), _u13373)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13370), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13370, _u13371, c_Groups_Otimes__class_Otimes(_u13370)), _u13374), c_Groups_Oone__class_Oone(_u13370)), _u13372)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13370, _u13371, c_Groups_Otimes__class_Otimes(_u13370)), _u13374), c_Groups_Oone__class_Oone(_u13370)), _u13373)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13370), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13370, _u13371, c_Groups_Otimes__class_Otimes(_u13370)), _u13374), c_Groups_Oone__class_Oone(_u13370)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13371, tc_HOL_Obool)), _u13372), _u13373))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13370, _u13371, c_Groups_Otimes__class_Otimes(_u13370)), _u13374), c_Groups_Oone__class_Oone(_u13370)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13371, tc_HOL_Obool)), _u13372), _u13373)))) )).
% 27.71/27.95 cnf(matrix-6054, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13375), _u13376)) | ( hAPP(c_Set_Oimage(_u13375, _u13377, _u13378), _u13376) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u13377, tc_HOL_Obool), _u13375, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13377, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u13375, tc_fun(_u13377, tc_HOL_Obool), tc_fun(_u13377, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u13377, tc_fun(tc_fun(_u13377, tc_HOL_Obool), tc_fun(_u13377, tc_HOL_Obool)), _u13375), c_Set_Oinsert(_u13377)), _u13378)), c_Orderings_Obot__class_Obot(tc_fun(_u13377, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u13377, tc_HOL_Obool))), _u13376)) )).
% 27.71/27.95 cnf(matrix-6055, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13381), _u13383)) | ( hAPP(c_Finite__Set_Ocard(_u13381), _u13383) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u13381, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u13381), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13383)) )).
% 27.71/27.95 cnf(matrix-6056, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13382), _u13384)) | ( hAPP(c_Finite__Set_Ocard(_u13382), _u13384) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.95 cnf(matrix-6057, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13385), _u13386)) | ( hAPP(c_Finite__Set_Ocard(_u13385), _u13386) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u13385, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u13385), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13386)) )).
% 27.71/27.95 cnf(matrix-6058, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u13387, _u13388, _u13389, _u13390, _u13391) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13388), _u13392)) | ( hAPP(hAPP(_u13391, _u13393), _u13392) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13387, _u13388, _u13389), _u13393), _u13390), _u13392)) )).
% 27.71/27.95 cnf(matrix-6059, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u13387, _u13388, _u13389, _u13390, _u13391) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13388), _u13392)) | ( hAPP(hAPP(_u13391, _u13393), _u13392) = _u13390) )).
% 27.71/27.95 cnf(matrix-6060, plain, ( ~c_Finite__Set_Ofolding__image(_u13394, _u13395, _u13396, _u13397, _u13398) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13395), _u13399)) | ~c_Fun_Oinj__on(_u13395, _u13395, _u13400, _u13399) | ( hAPP(hAPP(_u13398, _u13401), hAPP(c_Set_Oimage(_u13395, _u13395, _u13400), _u13399)) = hAPP(hAPP(_u13398, hAPP(c_Fun_Ocomp(_u13395, _u13394, _u13395, _u13401), _u13400)), _u13399)) )).
% 27.71/27.95 cnf(matrix-6061, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13403) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13404), _u13405)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13404), _u13406)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13403, _u13404, c_Groups_Otimes__class_Otimes(_u13403)), _u13407), c_Groups_Oone__class_Oone(_u13403)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13404, tc_HOL_Obool)), _u13405), _u13406)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13403), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13403, _u13404, c_Groups_Otimes__class_Otimes(_u13403)), _u13407), c_Groups_Oone__class_Oone(_u13403)), _u13405)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13403, _u13404, c_Groups_Otimes__class_Otimes(_u13403)), _u13407), c_Groups_Oone__class_Oone(_u13403)), _u13406))) | hBOOL(hAPP(hAPP(c_member(_u13404), skolem282(_u13407, _u13406, _u13405, _u13404, _u13403)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13404, tc_HOL_Obool)), _u13405), _u13406))) )).
% 27.71/27.95 cnf(matrix-6062, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13403) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13404), _u13405)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13404), _u13406)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13403, _u13404, c_Groups_Otimes__class_Otimes(_u13403)), _u13407), c_Groups_Oone__class_Oone(_u13403)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13404, tc_HOL_Obool)), _u13405), _u13406)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13403), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13403, _u13404, c_Groups_Otimes__class_Otimes(_u13403)), _u13407), c_Groups_Oone__class_Oone(_u13403)), _u13405)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13403, _u13404, c_Groups_Otimes__class_Otimes(_u13403)), _u13407), c_Groups_Oone__class_Oone(_u13403)), _u13406))) | ( hAPP(_u13407, skolem282(_u13407, _u13406, _u13405, _u13404, _u13403)) != c_Groups_Oone__class_Oone(_u13403)) )).
% 27.71/27.95 cnf(matrix-6063, plain, ( ~class_Nat_Osemiring__char__0(_u13408) | c_Fun_Oinj__on(tc_Nat_Onat, _u13408, c_Nat_Osemiring__1__class_Oof__nat(_u13408), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6064, 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)), _u13409), _u13410) )).
% 27.71/27.95 cnf(matrix-6065, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u13411) )).
% 27.71/27.95 cnf(matrix-6066, plain, ( c_Fun_Oinj__on(_u13412, tc_Option_Ooption(_u13412), c_Option_Ooption_OSome(_u13412), _u13413) )).
% 27.71/27.95 cnf(matrix-6067, plain, ( c_Fun_Oinj__on(_u13414, tc_sum(_u13415, _u13414), c_Sum__Type_OInr(_u13414, _u13415), _u13416) )).
% 27.71/27.95 cnf(matrix-6068, plain, ( c_Fun_Oinj__on(_u13417, tc_sum(_u13417, _u13418), c_Sum__Type_OInl(_u13417, _u13418), _u13419) )).
% 27.71/27.95 cnf(matrix-6069, 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))) )).
% 27.71/27.95 cnf(matrix-6070, plain, ( c_Fun_Oinj__on(tc_prod(_u13420, _u13421), tc_prod(_u13421, _u13420), hAPP(c_Product__Type_Oprod_Oprod__case(_u13420, _u13421, tc_prod(_u13421, _u13420)), hAPP(c_COMBC(_u13421, _u13420, tc_prod(_u13421, _u13420)), c_Product__Type_OPair(_u13421, _u13420))), _u13422) )).
% 27.71/27.95 cnf(matrix-6071, plain, ( ~c_Finite__Set_Ofolding__image(_u13423, _u13424, _u13425, _u13426, _u13427) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13424), _u13428)) | ( hAPP(hAPP(_u13427, hAPP(hAPP(c_COMBS(_u13424, _u13423, _u13423), hAPP(hAPP(c_COMBB(_u13423, tc_fun(_u13423, _u13423), _u13424), _u13425), _u13429)), _u13430)), _u13428) = hAPP(hAPP(_u13425, hAPP(hAPP(_u13427, _u13429), _u13428)), hAPP(hAPP(_u13427, _u13430), _u13428))) )).
% 27.71/27.95 cnf(matrix-6072, plain, ( ~c_Finite__Set_Ofolding__image(_u13431, _u13432, _u13433, _u13434, _u13435) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13432), _u13436)) | ( hAPP(hAPP(_u13435, _u13437), _u13436) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13431, _u13432, _u13433), _u13437), _u13434), _u13436)) )).
% 27.71/27.95 cnf(matrix-6073, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13439), _u13443)) | ( hAPP(hAPP(_u13442, _u13444), _u13443) = _u13441) | ~c_Big__Operators_Ocomm__monoid__big(_u13438, _u13439, _u13440, _u13441, _u13442) )).
% 27.71/27.95 cnf(matrix-6074, plain, ( ~c_Fun_Oinj__on(_u13445, _u13446, _u13447, hAPP(c_Set_Oimage(_u13448, _u13445, _u13449), _u13450)) | ~c_Fun_Oinj__on(_u13448, _u13445, _u13449, _u13450) | ~hBOOL(hAPP(hAPP(c_member(_u13446), _u13451), hAPP(c_Set_Oimage(_u13445, _u13446, _u13447), hAPP(c_Set_Oimage(_u13448, _u13445, _u13449), _u13450)))) | ( hAPP(c_Fun_Othe__inv__into(_u13448, _u13446, _u13450, hAPP(c_Fun_Ocomp(_u13445, _u13446, _u13448, _u13447), _u13449)), _u13451) = hAPP(hAPP(c_Fun_Ocomp(_u13445, _u13448, _u13446, c_Fun_Othe__inv__into(_u13448, _u13445, _u13450, _u13449)), c_Fun_Othe__inv__into(_u13445, _u13446, hAPP(c_Set_Oimage(_u13448, _u13445, _u13449), _u13450), _u13447)), _u13451)) )).
% 27.71/27.95 cnf(matrix-6075, plain, ( ~c_Fun_Oinj__on(_u13452, _u13453, _u13454, _u13455) | ~hBOOL(hAPP(hAPP(c_member(_u13453), _u13456), hAPP(c_Set_Oimage(_u13452, _u13453, _u13454), _u13455))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13452, tc_HOL_Obool)), _u13455), _u13457)) | hBOOL(hAPP(hAPP(c_member(_u13452), hAPP(c_Fun_Othe__inv__into(_u13452, _u13453, _u13455, _u13454), _u13456)), _u13457)) )).
% 27.71/27.95 cnf(matrix-6076, plain, ( ~c_Fun_Oinj__on(_u13458, _u13459, _u13460, c_Orderings_Otop__class_Otop(tc_fun(_u13458, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13458, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13458, _u13459, _u13460), hAPP(hAPP(c_Set_Oinsert(_u13459), _u13461), c_Orderings_Obot__class_Obot(tc_fun(_u13459, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u13458), c_HOL_OThe(_u13458, hAPP(hAPP(c_COMBC(_u13458, _u13459, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13459, tc_fun(_u13459, tc_HOL_Obool), _u13458), c_fequal), _u13460)), _u13461))), c_Orderings_Obot__class_Obot(tc_fun(_u13458, tc_HOL_Obool))))) )).
% 27.71/27.95 cnf(matrix-6077, plain, ( ( hAPP(_u13462, _u13463) != _u13464) | ~hBOOL(hAPP(hAPP(c_member(_u13465), _u13464), _u13466)) | hBOOL(hAPP(hAPP(c_member(_u13467), _u13463), hAPP(c_Set_Ovimage(_u13467, _u13465, _u13462), _u13466))) )).
% 27.71/27.95 cnf(matrix-6078, plain, ( ( hAPP(c_Set_Ovimage(_u13468, _u13469, _u13470), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13469, tc_HOL_Obool)), _u13471), _u13472)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13468, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13468, _u13469, _u13470), _u13471)), hAPP(c_Set_Ovimage(_u13468, _u13469, _u13470), _u13472))) )).
% 27.71/27.95 cnf(matrix-6079, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13473, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13474, _u13473, _u13475), hAPP(c_Set_Ovimage(_u13474, _u13473, _u13475), _u13476))), _u13476)) )).
% 27.71/27.95 cnf(matrix-6080, plain, ( ( hAPP(c_Set_Oimage(_u13477, _u13478, _u13479), c_Orderings_Otop__class_Otop(tc_fun(_u13477, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13478, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13477, _u13478, _u13479), hAPP(c_Set_Ovimage(_u13477, _u13478, _u13479), _u13480)) = _u13480) )).
% 27.71/27.95 cnf(matrix-6081, plain, ( hBOOL(hAPP(hAPP(c_member(_u13490), hAPP(_u13492, _u13488)), _u13494)) | ~hBOOL(hAPP(hAPP(c_member(_u13486), _u13488), hAPP(c_Set_Ovimage(_u13486, _u13490, _u13492), _u13494))) )).
% 27.71/27.95 cnf(matrix-6082, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13491), hAPP(_u13493, _u13489)), _u13495)) | hBOOL(hAPP(hAPP(c_member(_u13487), _u13489), hAPP(c_Set_Ovimage(_u13487, _u13491, _u13493), _u13495))) )).
% 27.71/27.95 cnf(matrix-6083, plain, ( hBOOL(hAPP(hAPP(c_member(_u13498), hAPP(_u13499, _u13497)), _u13500)) | ~hBOOL(hAPP(hAPP(c_member(_u13496), _u13497), hAPP(c_Set_Ovimage(_u13496, _u13498, _u13499), _u13500))) )).
% 27.71/27.95 cnf(matrix-6084, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13501), hAPP(_u13502, _u13503)), _u13504)) | hBOOL(hAPP(hAPP(c_member(_u13505), _u13503), hAPP(c_Set_Ovimage(_u13505, _u13501, _u13502), _u13504))) )).
% 27.71/27.95 cnf(matrix-6085, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13506, tc_HOL_Obool)), _u13507), _u13508)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13509, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13509, _u13506, _u13510), _u13507)), hAPP(c_Set_Ovimage(_u13509, _u13506, _u13510), _u13508))) )).
% 27.71/27.95 cnf(matrix-6086, plain, ( ( hAPP(c_Set_Ovimage(_u13511, _u13512, _u13513), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13512, tc_HOL_Obool)), _u13514), _u13515)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13511, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13511, _u13512, _u13513), _u13514)), hAPP(c_Set_Ovimage(_u13511, _u13512, _u13513), _u13515))) )).
% 27.71/27.95 cnf(matrix-6087, plain, ( ( hAPP(c_Set_Ovimage(_u13516, _u13517, _u13518), c_Orderings_Obot__class_Obot(tc_fun(_u13517, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13516, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6088, plain, ( ( hAPP(c_Set_Ovimage(_u13519, _u13519, c_COMBI(_u13519)), _u13520) = _u13520) )).
% 27.71/27.95 cnf(matrix-6089, plain, ( ( hAPP(c_Set_Ovimage(_u13521, _u13522, _u13523), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13522, tc_HOL_Obool)), _u13524)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13521, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13521, _u13522, _u13523), _u13524))) )).
% 27.71/27.95 cnf(matrix-6090, plain, ( hBOOL(hAPP(_u13536, hAPP(_u13534, _u13538))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u13530, _u13532, _u13534), _u13536), _u13538)) )).
% 27.71/27.95 cnf(matrix-6091, plain, ( ~hBOOL(hAPP(_u13537, hAPP(_u13535, _u13539))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u13531, _u13533, _u13535), _u13537), _u13539)) )).
% 27.71/27.95 cnf(matrix-6092, plain, ( ( hAPP(c_Set_Ovimage(_u13540, _u13541, _u13542), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13543, tc_fun(_u13541, tc_HOL_Obool)), _u13544), _u13545)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13543, tc_fun(_u13540, tc_HOL_Obool)), _u13544), hAPP(hAPP(c_COMBB(tc_fun(_u13541, tc_HOL_Obool), tc_fun(_u13540, tc_HOL_Obool), _u13543), c_Set_Ovimage(_u13540, _u13541, _u13542)), _u13545))) )).
% 27.71/27.95 cnf(matrix-6093, plain, ( ( hAPP(c_Set_Ovimage(_u13546, _u13547, hAPP(c_Fun_Ocomp(_u13548, _u13547, _u13546, _u13549), _u13550)), _u13551) = hAPP(c_Set_Ovimage(_u13546, _u13548, _u13550), hAPP(c_Set_Ovimage(_u13548, _u13547, _u13549), _u13551))) )).
% 27.71/27.95 cnf(matrix-6094, plain, ( ( hAPP(c_Set_Ovimage(_u13552, _u13553, _u13554), c_Orderings_Otop__class_Otop(tc_fun(_u13553, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13552, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6095, plain, ( ( hAPP(c_Set_Ovimage(_u13555, _u13556, _u13557), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13556, tc_HOL_Obool)), _u13558), _u13559)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13555, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13555, _u13556, _u13557), _u13558)), hAPP(c_Set_Ovimage(_u13555, _u13556, _u13557), _u13559))) )).
% 27.71/27.95 cnf(matrix-6096, plain, ( ( hAPP(_u13571, _u13567) = _u13573) | ~hBOOL(hAPP(hAPP(c_member(_u13565), _u13567), hAPP(c_Set_Ovimage(_u13565, _u13569, _u13571), hAPP(hAPP(c_Set_Oinsert(_u13569), _u13573), c_Orderings_Obot__class_Obot(tc_fun(_u13569, tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-6097, plain, ( ( hAPP(_u13572, _u13568) != _u13574) | hBOOL(hAPP(hAPP(c_member(_u13566), _u13568), hAPP(c_Set_Ovimage(_u13566, _u13570, _u13572), hAPP(hAPP(c_Set_Oinsert(_u13570), _u13574), c_Orderings_Obot__class_Obot(tc_fun(_u13570, tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-6098, plain, ( ( hAPP(c_Set_Ovimage(_u13575, _u13576, _u13577), hAPP(hAPP(c_Set_Oinsert(_u13576), _u13578), _u13579)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13575, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13575, _u13576, _u13577), hAPP(hAPP(c_Set_Oinsert(_u13576), _u13578), c_Orderings_Obot__class_Obot(tc_fun(_u13576, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u13575, _u13576, _u13577), _u13579))) )).
% 27.71/27.95 cnf(matrix-6099, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13580), hAPP(c_Set_Ovimage(_u13580, _u13581, _u13582), _u13583))) | ( hAPP(c_Set_Oimage(_u13580, _u13581, _u13582), c_Orderings_Otop__class_Otop(tc_fun(_u13580, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13581, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13581), _u13583)) )).
% 27.71/27.95 cnf(matrix-6100, plain, ( ( hAPP(c_Set_Oimage(_u13584, _u13585, _u13586), c_Orderings_Otop__class_Otop(tc_fun(_u13584, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13585, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13584, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13584, _u13585, _u13586), _u13587)), _u13588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13585, tc_HOL_Obool)), _u13587), hAPP(c_Set_Oimage(_u13584, _u13585, _u13586), _u13588))) )).
% 27.71/27.95 cnf(matrix-6101, plain, ( ( hAPP(c_Set_Oimage(_u13589, _u13590, _u13591), hAPP(c_Set_Ovimage(_u13589, _u13590, _u13591), _u13592)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13590, tc_HOL_Obool)), _u13592), hAPP(c_Set_Oimage(_u13589, _u13590, _u13591), c_Orderings_Otop__class_Otop(tc_fun(_u13589, tc_HOL_Obool))))) )).
% 27.71/27.95 cnf(matrix-6102, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13593), _u13594)) | ~c_Fun_Oinj__on(_u13595, _u13593, _u13596, c_Orderings_Otop__class_Otop(tc_fun(_u13595, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13595), hAPP(c_Set_Ovimage(_u13595, _u13593, _u13596), _u13594))) )).
% 27.71/27.95 cnf(matrix-6103, plain, ( ~c_Fun_Oinj__on(_u13597, _u13598, _u13599, c_Orderings_Otop__class_Otop(tc_fun(_u13597, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u13597, _u13598, _u13599), hAPP(c_Set_Oimage(_u13597, _u13598, _u13599), _u13600)) = _u13600) )).
% 27.71/27.95 cnf(matrix-6104, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13605), _u13607), _u13609)) | ( hAPP(c_Set_Ovimage(_u13611, _u13605, hAPP(c_COMBK(_u13605, _u13611), _u13607)), _u13609) = c_Orderings_Otop__class_Otop(tc_fun(_u13611, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6105, plain, ( hBOOL(hAPP(hAPP(c_member(_u13606), _u13608), _u13610)) | ( hAPP(c_Set_Ovimage(_u13612, _u13606, hAPP(c_COMBK(_u13606, _u13612), _u13608)), _u13610) = c_Orderings_Obot__class_Obot(tc_fun(_u13612, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6106, plain, ( ( hAPP(c_Set_Ovimage(_u13613, _u13614, _u13615), _u13616) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13614, tc_fun(_u13613, tc_HOL_Obool)), _u13616), hAPP(hAPP(c_COMBB(tc_fun(_u13614, tc_HOL_Obool), tc_fun(_u13613, tc_HOL_Obool), _u13614), c_Set_Ovimage(_u13613, _u13614, _u13615)), hAPP(hAPP(c_COMBC(_u13614, tc_fun(_u13614, tc_HOL_Obool), tc_fun(_u13614, tc_HOL_Obool)), c_Set_Oinsert(_u13614)), c_Orderings_Obot__class_Obot(tc_fun(_u13614, tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-6107, plain, ( ~c_Fun_Oinj__on(_u13617, _u13618, _u13619, _u13620) | ~hBOOL(hAPP(hAPP(c_member(_u13617), _u13621), _u13620)) | ( hAPP(c_Fun_Othe__inv__into(_u13617, _u13618, _u13620, _u13619), hAPP(_u13619, _u13621)) = _u13621) )).
% 27.71/27.95 cnf(matrix-6108, plain, ( ~c_Fun_Oinj__on(_u13622, _u13623, _u13624, _u13625) | ( hAPP(_u13624, _u13626) != _u13627) | ~hBOOL(hAPP(hAPP(c_member(_u13622), _u13626), _u13625)) | ( hAPP(c_Fun_Othe__inv__into(_u13622, _u13623, _u13625, _u13624), _u13627) = _u13626) )).
% 27.71/27.95 cnf(matrix-6109, plain, ( ~c_Fun_Oinj__on(_u13628, _u13629, _u13630, c_Orderings_Otop__class_Otop(tc_fun(_u13628, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u13628, _u13629, c_Orderings_Otop__class_Otop(tc_fun(_u13628, tc_HOL_Obool)), _u13630), hAPP(_u13630, _u13631)) = _u13631) )).
% 27.71/27.95 cnf(matrix-6110, plain, ( ~c_Fun_Oinj__on(_u13632, _u13633, _u13634, _u13635) | ( hAPP(c_Set_Oimage(_u13633, _u13632, c_Fun_Othe__inv__into(_u13632, _u13633, _u13635, _u13634)), hAPP(c_Set_Oimage(_u13632, _u13633, _u13634), _u13635)) = _u13635) )).
% 27.71/27.95 cnf(matrix-6111, plain, ( ~c_Fun_Oinj__on(_u13636, _u13637, _u13638, _u13639) | c_Fun_Oinj__on(_u13637, _u13636, c_Fun_Othe__inv__into(_u13636, _u13637, _u13639, _u13638), hAPP(c_Set_Oimage(_u13636, _u13637, _u13638), _u13639)) )).
% 27.71/27.95 cnf(matrix-6112, plain, ( ~c_Fun_Oinj__on(_u13640, _u13641, _u13642, c_Orderings_Otop__class_Otop(tc_fun(_u13640, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13641, tc_HOL_Obool)), _u13643), hAPP(c_Set_Oimage(_u13640, _u13641, _u13642), _u13644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13640, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13640, _u13641, _u13642), _u13643)), _u13644)) )).
% 27.71/27.95 cnf(matrix-6113, plain, ( ( hAPP(c_Fun_Othe__inv__into(_u13645, _u13646, _u13647, _u13648), _u13649) = c_HOL_OThe(_u13645, hAPP(hAPP(c_COMBS(_u13645, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13645), c_fconj), hAPP(hAPP(c_COMBC(_u13645, tc_fun(_u13645, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13645)), _u13647))), hAPP(hAPP(c_COMBC(_u13645, _u13646, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13646, tc_fun(_u13646, tc_HOL_Obool), _u13645), c_fequal), _u13648)), _u13649)))) )).
% 27.71/27.95 cnf(matrix-6114, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13656), _u13658), _u13660)) | ~hBOOL(hAPP(hAPP(c_member(_u13656), _u13662), _u13660)) | ( hAPP(c_Set_Ovimage(_u13664, _u13656, hAPP(hAPP(c_COMBC(_u13664, _u13656, _u13656), hAPP(hAPP(c_COMBC(_u13664, _u13656, tc_fun(_u13656, _u13656)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13656, tc_fun(_u13656, _u13656)), _u13664), c_If(_u13656)), hAPP(hAPP(c_COMBC(_u13664, tc_fun(_u13664, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13664)), _u13666))), _u13658)), _u13662)), _u13660) = c_Orderings_Otop__class_Otop(tc_fun(_u13664, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6115, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13656), _u13658), _u13660)) | hBOOL(hAPP(hAPP(c_member(_u13656), _u13662), _u13660)) | ( hAPP(c_Set_Ovimage(_u13664, _u13656, hAPP(hAPP(c_COMBC(_u13664, _u13656, _u13656), hAPP(hAPP(c_COMBC(_u13664, _u13656, tc_fun(_u13656, _u13656)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13656, tc_fun(_u13656, _u13656)), _u13664), c_If(_u13656)), hAPP(hAPP(c_COMBC(_u13664, tc_fun(_u13664, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13664)), _u13666))), _u13658)), _u13662)), _u13660) = _u13666) )).
% 27.71/27.95 cnf(matrix-6116, plain, ( hBOOL(hAPP(hAPP(c_member(_u13657), _u13659), _u13661)) | ~hBOOL(hAPP(hAPP(c_member(_u13657), _u13663), _u13661)) | ( hAPP(c_Set_Ovimage(_u13665, _u13657, hAPP(hAPP(c_COMBC(_u13665, _u13657, _u13657), hAPP(hAPP(c_COMBC(_u13665, _u13657, tc_fun(_u13657, _u13657)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13657, tc_fun(_u13657, _u13657)), _u13665), c_If(_u13657)), hAPP(hAPP(c_COMBC(_u13665, tc_fun(_u13665, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13665)), _u13667))), _u13659)), _u13663)), _u13661) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13665, tc_HOL_Obool)), _u13667)) )).
% 27.71/27.95 cnf(matrix-6117, plain, ( hBOOL(hAPP(hAPP(c_member(_u13657), _u13659), _u13661)) | hBOOL(hAPP(hAPP(c_member(_u13657), _u13663), _u13661)) | ( hAPP(c_Set_Ovimage(_u13665, _u13657, hAPP(hAPP(c_COMBC(_u13665, _u13657, _u13657), hAPP(hAPP(c_COMBC(_u13665, _u13657, tc_fun(_u13657, _u13657)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13657, tc_fun(_u13657, _u13657)), _u13665), c_If(_u13657)), hAPP(hAPP(c_COMBC(_u13665, tc_fun(_u13665, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13665)), _u13667))), _u13659)), _u13663)), _u13661) = c_Orderings_Obot__class_Obot(tc_fun(_u13665, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6118, plain, ( ~c_Fun_Oinj__on(_u13668, _u13669, _u13670, _u13671) | ~hBOOL(hAPP(hAPP(c_member(_u13669), _u13672), hAPP(c_Set_Oimage(_u13668, _u13669, _u13670), _u13671))) | ( hAPP(_u13670, hAPP(c_Fun_Othe__inv__into(_u13668, _u13669, _u13671, _u13670), _u13672)) = _u13672) )).
% 27.71/27.95 cnf(matrix-6119, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13674), _u13675), hAPP(c_Relation_OImage(_u13676, _u13674, _u13677), _u13678))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13676, _u13674)), hAPP(hAPP(c_Product__Type_OPair(_u13676, _u13674), skolem283(_u13678, _u13677, _u13676, _u13675, _u13674)), _u13675)), _u13677)) )).
% 27.71/27.95 cnf(matrix-6120, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13674), _u13675), hAPP(c_Relation_OImage(_u13676, _u13674, _u13677), _u13678))) | hBOOL(hAPP(hAPP(c_member(_u13676), skolem283(_u13678, _u13677, _u13676, _u13675, _u13674)), _u13678)) )).
% 27.71/27.95 cnf(matrix-6121, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13680) | ~c_Fun_Oinj__on(_u13681, _u13682, _u13683, _u13684) | ( _u13685 != hAPP(c_Set_Oimage(_u13681, _u13682, _u13683), _u13684)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13682, _u13680), _u13687), _u13685) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13681, _u13680), _u13686), _u13684)) | hBOOL(hAPP(hAPP(c_member(_u13681), skolem284(_u13687, _u13686, _u13685, _u13684, _u13683, _u13682, _u13681, _u13680)), _u13684)) )).
% 27.71/27.95 cnf(matrix-6122, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13680) | ~c_Fun_Oinj__on(_u13681, _u13682, _u13683, _u13684) | ( _u13685 != hAPP(c_Set_Oimage(_u13681, _u13682, _u13683), _u13684)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13682, _u13680), _u13687), _u13685) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13681, _u13680), _u13686), _u13684)) | ( hAPP(_u13686, skolem284(_u13687, _u13686, _u13685, _u13684, _u13683, _u13682, _u13681, _u13680)) != hAPP(hAPP(c_Fun_Ocomp(_u13682, _u13680, _u13681, _u13687), _u13683), skolem284(_u13687, _u13686, _u13685, _u13684, _u13683, _u13682, _u13681, _u13680))) )).
% 27.71/27.95 cnf(matrix-6123, plain, ( ( c_Map_Odom(_u13694, _u13696, _u13698) != hAPP(hAPP(c_Set_Oinsert(_u13694), _u13700), c_Orderings_Obot__class_Obot(tc_fun(_u13694, tc_HOL_Obool)))) | ( _u13698 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13694, tc_Option_Ooption(_u13696)), hAPP(c_COMBK(tc_Option_Ooption(_u13696), _u13694), c_Option_Ooption_ONone(_u13696))), _u13700), hAPP(c_Option_Ooption_OSome(_u13696), skolem285(_u13700, _u13698, _u13696, _u13694)))) )).
% 27.71/27.95 cnf(matrix-6124, plain, ( ( _u13699 != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13695, tc_Option_Ooption(_u13697)), hAPP(c_COMBK(tc_Option_Ooption(_u13697), _u13695), c_Option_Ooption_ONone(_u13697))), _u13701), hAPP(c_Option_Ooption_OSome(_u13697), _u13689))) | ( c_Map_Odom(_u13695, _u13697, _u13699) = hAPP(hAPP(c_Set_Oinsert(_u13695), _u13701), c_Orderings_Obot__class_Obot(tc_fun(_u13695, tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-6125, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname), c_Map_Odom(tc_Com_Opname, tc_Com_Ocom, c_Com_Obody))) )).
% 27.71/27.95 cnf(matrix-6126, plain, ( ( hAPP(_u13712, _u13708) != c_Option_Ooption_ONone(_u13710)) | ~hBOOL(hAPP(hAPP(c_member(_u13706), _u13708), c_Map_Odom(_u13706, _u13710, _u13712))) )).
% 27.71/27.95 cnf(matrix-6127, plain, ( ( hAPP(_u13713, _u13709) = c_Option_Ooption_ONone(_u13711)) | hBOOL(hAPP(hAPP(c_member(_u13707), _u13709), c_Map_Odom(_u13707, _u13711, _u13713))) )).
% 27.71/27.95 cnf(matrix-6128, plain, ( ( hAPP(_u13714, _u13715) != hAPP(c_Option_Ooption_OSome(_u13716), _u13717)) | hBOOL(hAPP(hAPP(c_member(_u13718), _u13715), c_Map_Odom(_u13718, _u13716, _u13714))) )).
% 27.71/27.95 cnf(matrix-6129, plain, ( ( hAPP(_u13719, _u13720) != hAPP(c_Option_Ooption_OSome(_u13721), _u13722)) | ( hAPP(hAPP(c_Set_Oinsert(_u13723), _u13720), c_Map_Odom(_u13723, _u13721, _u13719)) = c_Map_Odom(_u13723, _u13721, _u13719)) )).
% 27.71/27.95 cnf(matrix-6130, plain, ( ( c_Map_Odom(_u13724, _u13725, c_Map_Orestrict__map(_u13724, _u13725, _u13726, _u13727)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13724, tc_HOL_Obool)), c_Map_Odom(_u13724, _u13725, _u13726)), _u13727)) )).
% 27.71/27.95 cnf(matrix-6131, plain, ( ( c_Map_Odom(_u13728, _u13729, hAPP(c_COMBK(tc_Option_Ooption(_u13729), _u13728), c_Option_Ooption_ONone(_u13729))) = c_Orderings_Obot__class_Obot(tc_fun(_u13728, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6132, plain, ( ( c_Map_Odom(_u13733, _u13735, _u13737) != c_Orderings_Obot__class_Obot(tc_fun(_u13733, tc_HOL_Obool))) | ( _u13737 = hAPP(c_COMBK(tc_Option_Ooption(_u13735), _u13733), c_Option_Ooption_ONone(_u13735))) )).
% 27.71/27.95 cnf(matrix-6133, plain, ( ( _u13738 != hAPP(c_COMBK(tc_Option_Ooption(_u13736), _u13734), c_Option_Ooption_ONone(_u13736))) | ( c_Map_Odom(_u13734, _u13736, _u13738) = c_Orderings_Obot__class_Obot(tc_fun(_u13734, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6134, plain, ( ( c_Map_Odom(_u13739, _u13740, hAPP(hAPP(c_COMBB(_u13740, tc_Option_Ooption(_u13740), _u13739), c_Option_Ooption_OSome(_u13740)), _u13741)) = c_Orderings_Otop__class_Otop(tc_fun(_u13739, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6135, plain, ( ( hAPP(_u13742, _u13743) != c_Option_Ooption_ONone(_u13744)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13745, tc_HOL_Obool)), c_Map_Odom(_u13745, _u13744, _u13742)), hAPP(hAPP(c_Set_Oinsert(_u13745), _u13743), _u13746)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13745, tc_HOL_Obool)), c_Map_Odom(_u13745, _u13744, _u13742)), _u13746)) )).
% 27.71/27.95 cnf(matrix-6136, plain, ( ( _u13752 != c_Option_Ooption_ONone(_u13754)) | ( c_Map_Odom(_u13756, _u13754, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13756, tc_Option_Ooption(_u13754)), _u13758), _u13760), _u13752)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13756, tc_HOL_Obool)), c_Map_Odom(_u13756, _u13754, _u13758)), hAPP(hAPP(c_Set_Oinsert(_u13756), _u13760), c_Orderings_Obot__class_Obot(tc_fun(_u13756, tc_HOL_Obool))))) )).
% 27.71/27.95 cnf(matrix-6137, plain, ( ( _u13753 = c_Option_Ooption_ONone(_u13755)) | ( c_Map_Odom(_u13757, _u13755, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u13757, tc_Option_Ooption(_u13755)), _u13759), _u13761), _u13753)) = hAPP(hAPP(c_Set_Oinsert(_u13757), _u13761), c_Map_Odom(_u13757, _u13755, _u13759))) )).
% 27.71/27.95 cnf(matrix-6138, plain, ( ~class_Groups_Oab__semigroup__mult(_u13762) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13762, _u13762, c_Groups_Otimes__class_Otimes(_u13762), _u13763, _u13764), _u13765)) | ~hBOOL(hAPP(hAPP(c_member(_u13762), _u13766), _u13764)) | hBOOL(hAPP(hAPP(c_member(_u13762), _u13763), _u13764)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13762, _u13762, c_Groups_Otimes__class_Otimes(_u13762), _u13766, hAPP(hAPP(c_Set_Oinsert(_u13762), _u13763), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13762, tc_HOL_Obool)), _u13764), hAPP(hAPP(c_Set_Oinsert(_u13762), _u13766), c_Orderings_Obot__class_Obot(tc_fun(_u13762, tc_HOL_Obool)))))), _u13765)) )).
% 27.71/27.95 cnf(matrix-6139, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13768), _u13769), c_Map_Oran(_u13770, _u13768, c_Map_Orestrict__map(_u13770, _u13768, _u13771, _u13772)))) | hBOOL(hAPP(hAPP(c_member(_u13770), skolem286(_u13772, _u13771, _u13770, _u13769, _u13768)), _u13772)) )).
% 27.71/27.95 cnf(matrix-6140, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13768), _u13769), c_Map_Oran(_u13770, _u13768, c_Map_Orestrict__map(_u13770, _u13768, _u13771, _u13772)))) | ( hAPP(_u13771, skolem286(_u13772, _u13771, _u13770, _u13769, _u13768)) = hAPP(c_Option_Ooption_OSome(_u13768), _u13769)) )).
% 27.71/27.95 cnf(matrix-6141, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13776, hAPP(hAPP(c_COMBC(_u13776, tc_fun(tc_prod(_u13776, _u13776), tc_HOL_Obool), tc_fun(_u13776, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13776, tc_fun(tc_fun(tc_prod(_u13776, _u13776), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13776, _u13776), tc_HOL_Obool), tc_fun(_u13776, tc_HOL_Obool)), _u13776), c_COMBC(_u13776, tc_fun(tc_prod(_u13776, _u13776), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13776, tc_prod(_u13776, _u13776)), tc_fun(_u13776, tc_fun(tc_fun(tc_prod(_u13776, _u13776), tc_HOL_Obool), tc_HOL_Obool)), _u13776), hAPP(c_COMBB(tc_prod(_u13776, _u13776), tc_fun(tc_fun(tc_prod(_u13776, _u13776), tc_HOL_Obool), tc_HOL_Obool), _u13776), c_member(tc_prod(_u13776, _u13776)))), c_Product__Type_OPair(_u13776, _u13776)))), _u13778)), _u13780)) | hBOOL(hAPP(hAPP(c_member(_u13776), _u13780), c_Wellfounded_Oacc(_u13776, _u13778))) )).
% 27.71/27.95 cnf(matrix-6142, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13777), _u13781), c_Wellfounded_Oacc(_u13777, _u13779))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13777, hAPP(hAPP(c_COMBC(_u13777, tc_fun(tc_prod(_u13777, _u13777), tc_HOL_Obool), tc_fun(_u13777, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13777, tc_fun(tc_fun(tc_prod(_u13777, _u13777), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13777, _u13777), tc_HOL_Obool), tc_fun(_u13777, tc_HOL_Obool)), _u13777), c_COMBC(_u13777, tc_fun(tc_prod(_u13777, _u13777), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13777, tc_prod(_u13777, _u13777)), tc_fun(_u13777, tc_fun(tc_fun(tc_prod(_u13777, _u13777), tc_HOL_Obool), tc_HOL_Obool)), _u13777), hAPP(c_COMBB(tc_prod(_u13777, _u13777), tc_fun(tc_fun(tc_prod(_u13777, _u13777), tc_HOL_Obool), tc_HOL_Obool), _u13777), c_member(tc_prod(_u13777, _u13777)))), c_Product__Type_OPair(_u13777, _u13777)))), _u13779)), _u13781)) )).
% 27.71/27.95 cnf(matrix-6143, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13782, _u13783, _u13784, _u13785, _u13786), _u13787)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13782), _u13786)) )).
% 27.71/27.95 cnf(matrix-6144, plain, ( ( _u13792 = _u13791) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13788, _u13789, _u13790, _u13791, c_Orderings_Obot__class_Obot(tc_fun(_u13788, tc_HOL_Obool))), _u13792)) )).
% 27.71/27.95 cnf(matrix-6145, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13793, _u13794, _u13795, _u13796, c_Orderings_Obot__class_Obot(tc_fun(_u13793, tc_HOL_Obool))), _u13796)) )).
% 27.71/27.95 cnf(matrix-6146, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13797, _u13798, _u13799, _u13800, c_Orderings_Obot__class_Obot(tc_fun(_u13797, tc_HOL_Obool))), _u13800)) )).
% 27.71/27.95 cnf(matrix-6147, plain, ( hBOOL(hAPP(hAPP(c_member(_u13801), _u13802), _u13803)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13801, _u13804, _u13805, _u13806, _u13803), _u13807)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13801, _u13804, _u13805, _u13806, hAPP(hAPP(c_Set_Oinsert(_u13801), _u13802), _u13803)), hAPP(hAPP(_u13805, _u13802), _u13807))) )).
% 27.71/27.95 cnf(matrix-6148, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13808, _u13808), tc_HOL_Obool)), _u13809), _u13810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13808, tc_HOL_Obool)), c_Wellfounded_Oacc(_u13808, _u13810)), c_Wellfounded_Oacc(_u13808, _u13809))) )).
% 27.71/27.95 cnf(matrix-6149, plain, ( ~class_Groups_Oab__semigroup__mult(_u13811) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13811, _u13811, c_Groups_Otimes__class_Otimes(_u13811), _u13812, _u13813), _u13814)) | hBOOL(hAPP(hAPP(c_member(_u13811), _u13812), _u13813)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13811, _u13811, c_Groups_Otimes__class_Otimes(_u13811), _u13815, hAPP(hAPP(c_Set_Oinsert(_u13811), _u13812), _u13813)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13811), _u13815), _u13814))) )).
% 27.71/27.95 cnf(matrix-6150, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13816), _u13817), c_Wellfounded_Oacc(_u13816, _u13818))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13816, _u13816)), hAPP(hAPP(c_Product__Type_OPair(_u13816, _u13816), _u13819), _u13817)), _u13818)) | hBOOL(hAPP(hAPP(c_member(_u13816), _u13819), c_Wellfounded_Oacc(_u13816, _u13818))) )).
% 27.71/27.95 cnf(matrix-6151, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13825), _u13827), c_Wellfounded_Oacc(_u13825, _u13829))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13825, _u13825)), hAPP(hAPP(c_Product__Type_OPair(_u13825, _u13825), _u13820), _u13827)), _u13829)) | hBOOL(hAPP(hAPP(c_member(_u13825), _u13820), c_Wellfounded_Oacc(_u13825, _u13829))) )).
% 27.71/27.95 cnf(matrix-6152, plain, ( hBOOL(hAPP(hAPP(c_member(_u13826), _u13828), c_Wellfounded_Oacc(_u13826, _u13830))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13826, _u13826)), hAPP(hAPP(c_Product__Type_OPair(_u13826, _u13826), skolem287(_u13830, _u13828, _u13826)), _u13828)), _u13830)) )).
% 27.71/27.95 cnf(matrix-6153, plain, ( hBOOL(hAPP(hAPP(c_member(_u13826), _u13828), c_Wellfounded_Oacc(_u13826, _u13830))) | ~hBOOL(hAPP(hAPP(c_member(_u13826), skolem287(_u13830, _u13828, _u13826)), c_Wellfounded_Oacc(_u13826, _u13830))) )).
% 27.71/27.95 cnf(matrix-6154, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13831, _u13832, _u13833, _u13834, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13831, tc_HOL_Obool)), _u13835), hAPP(hAPP(c_Set_Oinsert(_u13831), _u13836), c_Orderings_Obot__class_Obot(tc_fun(_u13831, tc_HOL_Obool))))), _u13837)) | ~hBOOL(hAPP(hAPP(c_member(_u13831), _u13836), _u13835)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13831, _u13832, _u13833, _u13834, _u13835), hAPP(hAPP(_u13833, _u13836), _u13837))) )).
% 27.71/27.95 cnf(matrix-6155, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13838, _u13838, _u13839, _u13840, _u13841), _u13842)) | hBOOL(hAPP(hAPP(c_member(_u13838), _u13840), _u13841)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13838, _u13839, hAPP(hAPP(c_Set_Oinsert(_u13838), _u13840), _u13841)), _u13842)) )).
% 27.71/27.95 cnf(matrix-6156, plain, ( ~c_Wellfounded_Omax__extp(_u13851, _u13853, _u13855, _u13857) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13851), _u13855)) )).
% 27.71/27.95 cnf(matrix-6157, plain, ( ~c_Wellfounded_Omax__extp(_u13851, _u13853, _u13855, _u13857) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13851), _u13857)) )).
% 27.71/27.95 cnf(matrix-6158, plain, ( ~c_Wellfounded_Omax__extp(_u13851, _u13853, _u13855, _u13857) | ( _u13857 != c_Orderings_Obot__class_Obot(tc_fun(_u13851, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6159, plain, ( ~c_Wellfounded_Omax__extp(_u13851, _u13853, _u13855, _u13857) | ~hBOOL(hAPP(hAPP(c_member(_u13851), _u13844), _u13855)) | hBOOL(hAPP(hAPP(c_member(_u13851), skolem288(_u13857, _u13855, _u13853, _u13851, _u13844)), _u13857)) )).
% 27.71/27.95 cnf(matrix-6160, plain, ( ~c_Wellfounded_Omax__extp(_u13851, _u13853, _u13855, _u13857) | ~hBOOL(hAPP(hAPP(c_member(_u13851), _u13844), _u13855)) | hBOOL(hAPP(hAPP(_u13853, _u13844), skolem288(_u13857, _u13855, _u13853, _u13851, _u13844))) )).
% 27.71/27.95 cnf(matrix-6161, plain, ( c_Wellfounded_Omax__extp(_u13852, _u13854, _u13856, _u13858) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13852), _u13856)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13852), _u13858)) | ( _u13858 = c_Orderings_Obot__class_Obot(tc_fun(_u13852, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13852), skolem289(_u13858, _u13856, _u13854, _u13852)), _u13856)) )).
% 27.71/27.95 cnf(matrix-6162, plain, ( c_Wellfounded_Omax__extp(_u13852, _u13854, _u13856, _u13858) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13852), _u13856)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13852), _u13858)) | ( _u13858 = c_Orderings_Obot__class_Obot(tc_fun(_u13852, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13852), _u13845), _u13858)) | ~hBOOL(hAPP(hAPP(_u13854, skolem289(_u13858, _u13856, _u13854, _u13852)), _u13845)) )).
% 27.71/27.95 cnf(matrix-6163, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13861), _u13862)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13861), _u13863)) | ( _u13863 = c_Orderings_Obot__class_Obot(tc_fun(_u13861, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13861, tc_HOL_Obool), tc_fun(_u13861, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13861, tc_HOL_Obool), tc_fun(_u13861, tc_HOL_Obool)), _u13862), _u13863)), c_Wellfounded_Omax__ext(_u13861, _u13864))) | hBOOL(hAPP(hAPP(c_member(_u13861), skolem290(_u13864, _u13863, _u13862, _u13861)), _u13862)) )).
% 27.71/27.95 cnf(matrix-6164, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13861), _u13862)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13861), _u13863)) | ( _u13863 = c_Orderings_Obot__class_Obot(tc_fun(_u13861, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13861, tc_HOL_Obool), tc_fun(_u13861, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13861, tc_HOL_Obool), tc_fun(_u13861, tc_HOL_Obool)), _u13862), _u13863)), c_Wellfounded_Omax__ext(_u13861, _u13864))) | ~hBOOL(hAPP(hAPP(c_member(_u13861), _u13859), _u13863)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13861, _u13861)), hAPP(hAPP(c_Product__Type_OPair(_u13861, _u13861), skolem290(_u13864, _u13863, _u13862, _u13861)), _u13859)), _u13864)) )).
% 27.71/27.95 cnf(matrix-6165, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13865, _u13866, _u13867), _u13868)) | ( _u13867 != c_Orderings_Obot__class_Obot(tc_fun(_u13865, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6166, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13869, _u13870, c_Orderings_Obot__class_Obot(tc_fun(_u13869, tc_HOL_Obool))), _u13871)) )).
% 27.71/27.95 cnf(matrix-6167, plain, ( ( _u13880 = _u13882) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13876, _u13878, hAPP(hAPP(c_Set_Oinsert(_u13876), _u13880), c_Orderings_Obot__class_Obot(tc_fun(_u13876, tc_HOL_Obool)))), _u13882)) )).
% 27.71/27.95 cnf(matrix-6168, plain, ( ( _u13881 != _u13883) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13877, _u13879, hAPP(hAPP(c_Set_Oinsert(_u13877), _u13881), c_Orderings_Obot__class_Obot(tc_fun(_u13877, tc_HOL_Obool)))), _u13883)) )).
% 27.71/27.95 cnf(matrix-6169, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13893, _u13895, hAPP(hAPP(c_Set_Oinsert(_u13893), _u13897), _u13899)), _u13901)) | ( hAPP(hAPP(c_Set_Oinsert(_u13893), _u13897), _u13899) = hAPP(hAPP(c_Set_Oinsert(_u13893), skolem291(_u13901, _u13899, _u13897, _u13895, _u13893)), skolem292(_u13901, _u13899, _u13897, _u13895, _u13893))) )).
% 27.71/27.95 cnf(matrix-6170, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13893, _u13895, hAPP(hAPP(c_Set_Oinsert(_u13893), _u13897), _u13899)), _u13901)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13893, _u13893, _u13895, skolem291(_u13901, _u13899, _u13897, _u13895, _u13893), skolem292(_u13901, _u13899, _u13897, _u13895, _u13893)), _u13901)) )).
% 27.71/27.95 cnf(matrix-6171, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13893, _u13895, hAPP(hAPP(c_Set_Oinsert(_u13893), _u13897), _u13899)), _u13901)) | ~hBOOL(hAPP(hAPP(c_member(_u13893), skolem291(_u13901, _u13899, _u13897, _u13895, _u13893)), skolem292(_u13901, _u13899, _u13897, _u13895, _u13893))) )).
% 27.71/27.95 cnf(matrix-6172, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u13894), _u13898), _u13900) != hAPP(hAPP(c_Set_Oinsert(_u13894), _u13887), _u13886)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13894, _u13894, _u13896, _u13887, _u13886), _u13902)) | hBOOL(hAPP(hAPP(c_member(_u13894), _u13887), _u13886)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13894, _u13896, hAPP(hAPP(c_Set_Oinsert(_u13894), _u13898), _u13900)), _u13902)) )).
% 27.71/27.95 cnf(matrix-6173, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13905, _u13906, hAPP(hAPP(c_Set_Oinsert(_u13905), _u13907), _u13908)), _u13909)) | ( hAPP(hAPP(c_Set_Oinsert(_u13905), _u13907), _u13908) = hAPP(hAPP(c_Set_Oinsert(_u13905), skolem293(_u13909, _u13908, _u13907, _u13906, _u13905)), skolem294(_u13909, _u13908, _u13907, _u13906, _u13905))) )).
% 27.71/27.95 cnf(matrix-6174, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13905, _u13906, hAPP(hAPP(c_Set_Oinsert(_u13905), _u13907), _u13908)), _u13909)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13905, _u13905, _u13906, skolem293(_u13909, _u13908, _u13907, _u13906, _u13905), skolem294(_u13909, _u13908, _u13907, _u13906, _u13905)), _u13909)) )).
% 27.71/27.95 cnf(matrix-6175, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13905, _u13906, hAPP(hAPP(c_Set_Oinsert(_u13905), _u13907), _u13908)), _u13909)) | ~hBOOL(hAPP(hAPP(c_member(_u13905), skolem293(_u13909, _u13908, _u13907, _u13906, _u13905)), skolem294(_u13909, _u13908, _u13907, _u13906, _u13905))) )).
% 27.71/27.95 cnf(matrix-6176, plain, ( ( hAPP(c_Set_Oimage(_u13910, tc_prod(_u13911, _u13912), hAPP(hAPP(c_COMBS(_u13910, _u13912, tc_prod(_u13911, _u13912)), hAPP(hAPP(c_COMBB(_u13911, tc_fun(_u13912, tc_prod(_u13911, _u13912)), _u13910), c_Product__Type_OPair(_u13911, _u13912)), _u13913)), _u13914)), _u13915) = hAPP(hAPP(c_Product__Type_OSigma(_u13911, _u13912), hAPP(c_Set_Oimage(_u13910, _u13911, _u13913), _u13915)), hAPP(hAPP(c_COMBB(tc_fun(_u13910, tc_HOL_Obool), tc_fun(_u13912, tc_HOL_Obool), _u13911), c_Set_Oimage(_u13910, _u13912, _u13914)), hAPP(hAPP(c_COMBC(_u13911, tc_fun(_u13910, tc_HOL_Obool), tc_fun(_u13910, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13910, tc_HOL_Obool), tc_fun(tc_fun(_u13910, tc_HOL_Obool), tc_fun(_u13910, tc_HOL_Obool)), _u13911), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13910, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13911, tc_HOL_Obool), tc_fun(_u13910, tc_HOL_Obool), _u13911), c_Set_Ovimage(_u13910, _u13911, _u13913)), hAPP(hAPP(c_COMBC(_u13911, tc_fun(_u13911, tc_HOL_Obool), tc_fun(_u13911, tc_HOL_Obool)), c_Set_Oinsert(_u13911)), c_Orderings_Obot__class_Obot(tc_fun(_u13911, tc_HOL_Obool)))))), _u13915)))) )).
% 27.71/27.95 cnf(matrix-6177, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13916), _u13917), _u13918)) | ~hBOOL(hAPP(hAPP(c_member(_u13919), _u13920), hAPP(_u13921, _u13917))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13916, _u13919)), hAPP(hAPP(c_Product__Type_OPair(_u13916, _u13919), _u13917), _u13920)), hAPP(hAPP(c_Product__Type_OSigma(_u13916, _u13919), _u13918), _u13921))) )).
% 27.71/27.95 cnf(matrix-6178, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13922, _u13923), _u13924), hAPP(hAPP(c_COMBS(_u13922, tc_fun(_u13923, tc_HOL_Obool), tc_fun(_u13923, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13923, tc_HOL_Obool), tc_fun(tc_fun(_u13923, tc_HOL_Obool), tc_fun(_u13923, tc_HOL_Obool)), _u13922), c_Groups_Ominus__class_Ominus(tc_fun(_u13923, tc_HOL_Obool))), _u13925)), _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), _u13925)), hAPP(hAPP(c_Product__Type_OSigma(_u13922, _u13923), _u13924), _u13926))) )).
% 27.71/27.95 cnf(matrix-6179, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13927, _u13928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13927, tc_HOL_Obool)), _u13929), _u13930)), hAPP(c_COMBK(tc_fun(_u13928, tc_HOL_Obool), _u13927), _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), hAPP(c_COMBK(tc_fun(_u13928, tc_HOL_Obool), _u13927), _u13931))), hAPP(hAPP(c_Product__Type_OSigma(_u13927, _u13928), _u13930), hAPP(c_COMBK(tc_fun(_u13928, tc_HOL_Obool), _u13927), _u13931)))) )).
% 27.71/27.95 cnf(matrix-6180, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13932, _u13933), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13932, tc_HOL_Obool)), _u13934), _u13935)), _u13936) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13932, _u13933), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13932, _u13933), _u13934), _u13936)), hAPP(hAPP(c_Product__Type_OSigma(_u13932, _u13933), _u13935), _u13936))) )).
% 27.71/27.95 cnf(matrix-6181, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13937), _u13938), _u13939)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13940, _u13937), _u13941), hAPP(c_COMBK(tc_fun(_u13937, tc_HOL_Obool), _u13940), _u13939)) != hAPP(hAPP(c_Product__Type_OSigma(_u13940, _u13937), _u13942), hAPP(c_COMBK(tc_fun(_u13937, tc_HOL_Obool), _u13940), _u13939))) | ( _u13941 = _u13942) )).
% 27.71/27.95 cnf(matrix-6182, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13937), _u13938), _u13939)) | ( _u13941 != _u13942) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13940, _u13937), _u13941), hAPP(c_COMBK(tc_fun(_u13937, tc_HOL_Obool), _u13940), _u13939)) = hAPP(hAPP(c_Product__Type_OSigma(_u13940, _u13937), _u13942), hAPP(c_COMBK(tc_fun(_u13937, tc_HOL_Obool), _u13940), _u13939))) )).
% 27.71/27.95 cnf(matrix-6183, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13943, _u13944), c_Orderings_Obot__class_Obot(tc_fun(_u13943, tc_HOL_Obool))), _u13945) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13943, _u13944), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6184, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(tc_String_Ochar, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_prod(tc_String_Onibble, tc_String_Onibble), tc_String_Ochar, hAPP(c_Product__Type_Oprod_Oprod__case(tc_String_Onibble, tc_String_Onibble, tc_String_Ochar), c_String_Ochar_OChar)), hAPP(hAPP(c_Product__Type_OSigma(tc_String_Onibble, tc_String_Onibble), c_Orderings_Otop__class_Otop(tc_fun(tc_String_Onibble, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(tc_String_Onibble, tc_HOL_Obool), tc_String_Onibble), c_Orderings_Otop__class_Otop(tc_fun(tc_String_Onibble, tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-6185, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13946, _u13947)), hAPP(hAPP(c_Product__Type_OSigma(_u13946, _u13947), _u13948), hAPP(c_COMBK(tc_fun(_u13947, tc_HOL_Obool), _u13946), _u13949))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13946), _u13948)), hAPP(c_Finite__Set_Ocard(_u13947), _u13949))) )).
% 27.71/27.95 cnf(matrix-6186, plain, ( ~class_Groups_Ocomm__monoid__add(_u13950) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13951, _u13950), hAPP(hAPP(c_COMBC(_u13951, tc_fun(_u13952, tc_HOL_Obool), _u13950), hAPP(hAPP(c_COMBB(tc_fun(_u13952, _u13950), tc_fun(tc_fun(_u13952, tc_HOL_Obool), _u13950), _u13951), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13952, _u13950)), _u13953)), _u13954)), _u13955) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13951, _u13952), _u13950), hAPP(c_Product__Type_Oprod_Oprod__case(_u13951, _u13952, _u13950), _u13953)), hAPP(hAPP(c_Product__Type_OSigma(_u13951, _u13952), _u13955), hAPP(c_COMBK(tc_fun(_u13952, tc_HOL_Obool), _u13951), _u13954)))) )).
% 27.71/27.95 cnf(matrix-6187, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13956, _u13957), _u13958), hAPP(c_COMBK(tc_fun(_u13957, tc_HOL_Obool), _u13956), c_Orderings_Obot__class_Obot(tc_fun(_u13957, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13956, _u13957), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6188, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13963, _u13965), _u13967), hAPP(c_COMBK(tc_fun(_u13965, tc_HOL_Obool), _u13963), _u13969)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13963, _u13965), tc_HOL_Obool))) | ( _u13967 = c_Orderings_Obot__class_Obot(tc_fun(_u13963, tc_HOL_Obool))) | ( _u13969 = c_Orderings_Obot__class_Obot(tc_fun(_u13965, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6189, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13964, _u13966), _u13968), hAPP(c_COMBK(tc_fun(_u13966, tc_HOL_Obool), _u13964), _u13970)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13964, _u13966), tc_HOL_Obool))) | ( _u13968 != c_Orderings_Obot__class_Obot(tc_fun(_u13964, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6190, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13964, _u13966), _u13968), hAPP(c_COMBK(tc_fun(_u13966, tc_HOL_Obool), _u13964), _u13970)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13964, _u13966), tc_HOL_Obool))) | ( _u13970 != c_Orderings_Obot__class_Obot(tc_fun(_u13966, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6191, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13971, _u13972), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13971, _u13972), c_Orderings_Otop__class_Otop(tc_fun(_u13971, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13972, tc_HOL_Obool), _u13971), _u13973))) = hAPP(hAPP(c_Product__Type_OSigma(_u13971, _u13972), c_Orderings_Otop__class_Otop(tc_fun(_u13971, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13972, tc_HOL_Obool), _u13971), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13972, tc_HOL_Obool)), _u13973)))) )).
% 27.71/27.95 cnf(matrix-6192, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(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), c_Orderings_Otop__class_Otop(tc_fun(_u13975, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u13974, _u13975), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13974, tc_HOL_Obool)), _u13976)), hAPP(c_COMBK(tc_fun(_u13975, tc_HOL_Obool), _u13974), c_Orderings_Otop__class_Otop(tc_fun(_u13975, tc_HOL_Obool))))) )).
% 27.71/27.95 cnf(matrix-6193, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13977) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13978, _u13977), hAPP(hAPP(c_COMBC(_u13978, tc_fun(_u13979, tc_HOL_Obool), _u13977), hAPP(hAPP(c_COMBB(tc_fun(_u13979, _u13977), tc_fun(tc_fun(_u13979, tc_HOL_Obool), _u13977), _u13978), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13979, _u13977)), _u13980)), _u13981)), _u13982) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13978, _u13979), _u13977), hAPP(c_Product__Type_Oprod_Oprod__case(_u13978, _u13979, _u13977), _u13980)), hAPP(hAPP(c_Product__Type_OSigma(_u13978, _u13979), _u13982), hAPP(c_COMBK(tc_fun(_u13979, tc_HOL_Obool), _u13978), _u13981)))) )).
% 27.71/27.95 cnf(matrix-6194, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13983, _u13984), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13983, tc_HOL_Obool)), _u13985), _u13986)), _u13987) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13983, _u13984), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13983, _u13984), _u13985), _u13987)), hAPP(hAPP(c_Product__Type_OSigma(_u13983, _u13984), _u13986), _u13987))) )).
% 27.71/27.95 cnf(matrix-6195, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13988, _u13989), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13988, tc_HOL_Obool)), _u13990), _u13991)), hAPP(c_COMBK(tc_fun(_u13989, tc_HOL_Obool), _u13988), _u13992)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13988, _u13989), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13988, _u13989), _u13990), hAPP(c_COMBK(tc_fun(_u13989, tc_HOL_Obool), _u13988), _u13992))), hAPP(hAPP(c_Product__Type_OSigma(_u13988, _u13989), _u13991), hAPP(c_COMBK(tc_fun(_u13989, tc_HOL_Obool), _u13988), _u13992)))) )).
% 27.71/27.95 cnf(matrix-6196, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13993, _u13994), _u13995), hAPP(hAPP(c_COMBS(_u13993, tc_fun(_u13994, tc_HOL_Obool), tc_fun(_u13994, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13994, tc_HOL_Obool), tc_fun(tc_fun(_u13994, tc_HOL_Obool), tc_fun(_u13994, tc_HOL_Obool)), _u13993), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13994, tc_HOL_Obool))), _u13996)), _u13997)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13993, _u13994), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13993, _u13994), _u13995), _u13996)), hAPP(hAPP(c_Product__Type_OSigma(_u13993, _u13994), _u13995), _u13997))) )).
% 27.71/27.95 cnf(matrix-6197, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13998, _u13999), tc_prod(_u13999, _u13998), hAPP(c_Product__Type_Oprod_Oprod__case(_u13998, _u13999, tc_prod(_u13999, _u13998)), hAPP(c_COMBC(_u13999, _u13998, tc_prod(_u13999, _u13998)), c_Product__Type_OPair(_u13999, _u13998)))), hAPP(hAPP(c_Product__Type_OSigma(_u13998, _u13999), _u14000), hAPP(c_COMBK(tc_fun(_u13999, tc_HOL_Obool), _u13998), _u14001))) = hAPP(hAPP(c_Product__Type_OSigma(_u13999, _u13998), _u14001), hAPP(c_COMBK(tc_fun(_u13998, tc_HOL_Obool), _u13999), _u14000))) )).
% 27.71/27.95 cnf(matrix-6198, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14002), _u14003)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14004), _u14005)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14002, _u14004)), hAPP(hAPP(c_Product__Type_OSigma(_u14002, _u14004), _u14003), hAPP(c_COMBK(tc_fun(_u14004, tc_HOL_Obool), _u14002), _u14005)))) )).
% 27.71/27.95 cnf(matrix-6199, plain, ( ~c_Equiv__Relations_Oequiv(_u14006, _u14007, _u14008) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14006, _u14006), tc_HOL_Obool)), _u14008), hAPP(hAPP(c_Product__Type_OSigma(_u14006, _u14006), _u14007), hAPP(c_COMBK(tc_fun(_u14006, tc_HOL_Obool), _u14006), _u14007)))) )).
% 27.71/27.95 cnf(matrix-6200, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14010), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14009, tc_HOL_Obool)), _u14011), _u14012)), _u14013) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14009, _u14010), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14010), _u14011), _u14013)), hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14010), _u14012), _u14013))) )).
% 27.71/27.95 cnf(matrix-6201, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14014, _u14015), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14014, tc_HOL_Obool)), _u14016), _u14017)), hAPP(c_COMBK(tc_fun(_u14015, tc_HOL_Obool), _u14014), _u14018)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14014, _u14015), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14014, _u14015), _u14016), hAPP(c_COMBK(tc_fun(_u14015, tc_HOL_Obool), _u14014), _u14018))), hAPP(hAPP(c_Product__Type_OSigma(_u14014, _u14015), _u14017), hAPP(c_COMBK(tc_fun(_u14015, tc_HOL_Obool), _u14014), _u14018)))) )).
% 27.71/27.95 cnf(matrix-6202, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14019, _u14020), _u14021), hAPP(hAPP(c_COMBS(_u14019, tc_fun(_u14020, tc_HOL_Obool), tc_fun(_u14020, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14020, tc_HOL_Obool), tc_fun(tc_fun(_u14020, tc_HOL_Obool), tc_fun(_u14020, tc_HOL_Obool)), _u14019), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14020, tc_HOL_Obool))), _u14022)), _u14023)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14019, _u14020), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14019, _u14020), _u14021), _u14022)), hAPP(hAPP(c_Product__Type_OSigma(_u14019, _u14020), _u14021), _u14023))) )).
% 27.71/27.95 cnf(matrix-6203, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14024, _u14024), tc_HOL_Obool)), c_Relation_OId__on(_u14024, _u14025)), hAPP(hAPP(c_Product__Type_OSigma(_u14024, _u14024), _u14025), hAPP(c_COMBK(tc_fun(_u14024, tc_HOL_Obool), _u14024), _u14025)))) )).
% 27.71/27.95 cnf(matrix-6204, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14026, _u14027), c_Orderings_Otop__class_Otop(tc_fun(_u14026, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u14027, tc_HOL_Obool), _u14026), c_Orderings_Otop__class_Otop(tc_fun(_u14027, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u14026, _u14027), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6205, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14034, _u14036)), hAPP(hAPP(c_Product__Type_OPair(_u14034, _u14036), _u14038), _u14040)), hAPP(hAPP(c_Product__Type_OSigma(_u14034, _u14036), _u14042), _u14044))) | hBOOL(hAPP(hAPP(c_member(_u14034), _u14038), _u14042)) )).
% 27.71/27.95 cnf(matrix-6206, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14034, _u14036)), hAPP(hAPP(c_Product__Type_OPair(_u14034, _u14036), _u14038), _u14040)), hAPP(hAPP(c_Product__Type_OSigma(_u14034, _u14036), _u14042), _u14044))) | hBOOL(hAPP(hAPP(c_member(_u14036), _u14040), hAPP(_u14044, _u14038))) )).
% 27.71/27.95 cnf(matrix-6207, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14035), _u14039), _u14043)) | ~hBOOL(hAPP(hAPP(c_member(_u14037), _u14041), hAPP(_u14045, _u14039))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14035, _u14037)), hAPP(hAPP(c_Product__Type_OPair(_u14035, _u14037), _u14039), _u14041)), hAPP(hAPP(c_Product__Type_OSigma(_u14035, _u14037), _u14043), _u14045))) )).
% 27.71/27.95 cnf(matrix-6208, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14046, _u14047)), hAPP(hAPP(c_Product__Type_OPair(_u14046, _u14047), _u14048), _u14049)), hAPP(hAPP(c_Product__Type_OSigma(_u14046, _u14047), _u14050), _u14051))) | hBOOL(hAPP(hAPP(c_member(_u14046), _u14048), _u14050)) )).
% 27.71/27.95 cnf(matrix-6209, plain, ( hBOOL(hAPP(hAPP(c_member(_u14053), _u14055), hAPP(_u14057, _u14054))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14052, _u14053)), hAPP(hAPP(c_Product__Type_OPair(_u14052, _u14053), _u14054), _u14055)), hAPP(hAPP(c_Product__Type_OSigma(_u14052, _u14053), _u14056), _u14057))) )).
% 27.71/27.95 cnf(matrix-6210, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14058, _u14059)), hAPP(hAPP(c_Product__Type_OPair(_u14058, _u14059), _u14060), _u14061)), hAPP(hAPP(c_Product__Type_OSigma(_u14058, _u14059), _u14062), _u14063))) | hBOOL(hAPP(hAPP(c_member(_u14058), _u14060), _u14062)) )).
% 27.71/27.95 cnf(matrix-6211, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14058, _u14059)), hAPP(hAPP(c_Product__Type_OPair(_u14058, _u14059), _u14060), _u14061)), hAPP(hAPP(c_Product__Type_OSigma(_u14058, _u14059), _u14062), _u14063))) | hBOOL(hAPP(hAPP(c_member(_u14059), _u14061), hAPP(_u14063, _u14060))) )).
% 27.71/27.95 cnf(matrix-6212, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u14064, _u14065)), hAPP(hAPP(c_Product__Type_OSigma(_u14064, _u14065), hAPP(hAPP(c_Set_Oinsert(_u14064), _u14066), c_Orderings_Obot__class_Obot(tc_fun(_u14064, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u14065, tc_HOL_Obool), _u14064), _u14067))) = hAPP(c_Finite__Set_Ocard(_u14065), _u14067)) )).
% 27.71/27.95 cnf(matrix-6213, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14068), _u14069), _u14070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14071, _u14068), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14071, _u14068), _u14072), hAPP(c_COMBK(tc_fun(_u14068, tc_HOL_Obool), _u14071), _u14070))), hAPP(hAPP(c_Product__Type_OSigma(_u14071, _u14068), _u14073), hAPP(c_COMBK(tc_fun(_u14068, tc_HOL_Obool), _u14071), _u14070)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14071, tc_HOL_Obool)), _u14072), _u14073)) )).
% 27.71/27.95 cnf(matrix-6214, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14068), _u14069), _u14070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14071, tc_HOL_Obool)), _u14072), _u14073)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14071, _u14068), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14071, _u14068), _u14072), hAPP(c_COMBK(tc_fun(_u14068, tc_HOL_Obool), _u14071), _u14070))), hAPP(hAPP(c_Product__Type_OSigma(_u14071, _u14068), _u14073), hAPP(c_COMBK(tc_fun(_u14068, tc_HOL_Obool), _u14071), _u14070)))) )).
% 27.71/27.95 cnf(matrix-6215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14074, _u14075), tc_HOL_Obool)), _u14076), hAPP(hAPP(c_Product__Type_OSigma(_u14074, _u14075), _u14077), hAPP(c_COMBK(tc_fun(_u14075, tc_HOL_Obool), _u14074), _u14078)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14075, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14074, _u14075, _u14076), _u14079)), _u14078)) )).
% 27.71/27.95 cnf(matrix-6216, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14080, _u14081)), hAPP(hAPP(c_Product__Type_OSigma(_u14080, _u14081), _u14082), hAPP(c_COMBK(tc_fun(_u14081, tc_HOL_Obool), _u14080), _u14083)))) | ( _u14082 = c_Orderings_Obot__class_Obot(tc_fun(_u14080, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14081), _u14083)) )).
% 27.71/27.95 cnf(matrix-6217, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14084, _u14085)), hAPP(hAPP(c_Product__Type_OSigma(_u14084, _u14085), _u14086), hAPP(c_COMBK(tc_fun(_u14085, tc_HOL_Obool), _u14084), _u14087)))) | ( _u14087 = c_Orderings_Obot__class_Obot(tc_fun(_u14085, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14084), _u14086)) )).
% 27.71/27.95 cnf(matrix-6218, plain, ( ( _u14092 != c_Orderings_Obot__class_Obot(tc_fun(_u14094, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14096, _u14094), _u14096, c_Product__Type_Ofst(_u14096, _u14094)), hAPP(hAPP(c_Product__Type_OSigma(_u14096, _u14094), _u14098), hAPP(c_COMBK(tc_fun(_u14094, tc_HOL_Obool), _u14096), _u14092))) = c_Orderings_Obot__class_Obot(tc_fun(_u14096, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6219, plain, ( ( _u14093 = c_Orderings_Obot__class_Obot(tc_fun(_u14095, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14097, _u14095), _u14097, c_Product__Type_Ofst(_u14097, _u14095)), hAPP(hAPP(c_Product__Type_OSigma(_u14097, _u14095), _u14099), hAPP(c_COMBK(tc_fun(_u14095, tc_HOL_Obool), _u14097), _u14093))) = _u14099) )).
% 27.71/27.95 cnf(matrix-6220, plain, ( ( _u14104 != c_Orderings_Obot__class_Obot(tc_fun(_u14106, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14106, _u14108), _u14108, c_Product__Type_Osnd(_u14106, _u14108)), hAPP(hAPP(c_Product__Type_OSigma(_u14106, _u14108), _u14104), hAPP(c_COMBK(tc_fun(_u14108, tc_HOL_Obool), _u14106), _u14110))) = c_Orderings_Obot__class_Obot(tc_fun(_u14108, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6221, plain, ( ( _u14105 = c_Orderings_Obot__class_Obot(tc_fun(_u14107, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14107, _u14109), _u14109, c_Product__Type_Osnd(_u14107, _u14109)), hAPP(hAPP(c_Product__Type_OSigma(_u14107, _u14109), _u14105), hAPP(c_COMBK(tc_fun(_u14109, tc_HOL_Obool), _u14107), _u14111))) = _u14111) )).
% 27.71/27.95 cnf(matrix-6222, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14112, _u14113), hAPP(hAPP(c_Set_Oinsert(_u14112), _u14114), _u14115)), hAPP(c_COMBK(tc_fun(_u14113, tc_HOL_Obool), _u14112), hAPP(hAPP(c_Set_Oinsert(_u14113), _u14116), _u14117))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14112, _u14113)), hAPP(hAPP(c_Product__Type_OPair(_u14112, _u14113), _u14114), _u14116)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14112, _u14113), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14112, _u14113), _u14115), hAPP(c_COMBK(tc_fun(_u14113, tc_HOL_Obool), _u14112), hAPP(hAPP(c_Set_Oinsert(_u14113), _u14116), _u14117)))), hAPP(hAPP(c_Product__Type_OSigma(_u14112, _u14113), hAPP(hAPP(c_Set_Oinsert(_u14112), _u14114), _u14115)), hAPP(c_COMBK(tc_fun(_u14113, tc_HOL_Obool), _u14112), _u14117))))) )).
% 27.71/27.95 cnf(matrix-6223, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14118), _u14119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14118, _u14118), tc_HOL_Obool)), _u14120), hAPP(hAPP(c_Product__Type_OSigma(_u14118, _u14118), _u14119), hAPP(c_COMBK(tc_fun(_u14118, tc_HOL_Obool), _u14118), _u14119)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u14118, tc_HOL_Obool)), _u14121), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u14118), _u14119), _u14120))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14118), _u14121)) )).
% 27.71/27.95 cnf(matrix-6224, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u14122, _u14123), tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14122, _u14123), _u14126), hAPP(c_COMBK(tc_fun(_u14123, tc_HOL_Obool), _u14122), _u14127))), hAPP(c_Product__Type_Oprod_Oprod__case(_u14122, _u14123, tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u14122, tc_fun(_u14123, tc_fun(_u14124, tc_fun(_u14125, tc_HOL_Obool))), tc_fun(_u14123, tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14124, tc_fun(_u14125, tc_HOL_Obool)), tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool)), tc_fun(tc_fun(_u14123, tc_fun(_u14124, tc_fun(_u14125, tc_HOL_Obool))), tc_fun(_u14123, tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool))), _u14122), c_COMBB(tc_fun(_u14124, tc_fun(_u14125, tc_HOL_Obool)), tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool), _u14123)), hAPP(hAPP(c_COMBB(tc_fun(_u14124, tc_HOL_Obool), tc_fun(tc_fun(_u14124, tc_fun(_u14125, tc_HOL_Obool)), tc_fun(tc_prod(_u14124, _u14125), tc_HOL_Obool)), _u14122), c_Product__Type_OSigma(_u14124, _u14125)), _u14128))), hAPP(hAPP(c_COMBB(tc_fun(_u14125, tc_HOL_Obool), tc_fun(_u14124, tc_fun(_u14125, tc_HOL_Obool)), _u14123), c_COMBK(tc_fun(_u14125, tc_HOL_Obool), _u14124)), _u14129)))) = hAPP(hAPP(c_Product__Type_OSigma(_u14124, _u14125), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14122, tc_fun(_u14124, tc_HOL_Obool)), _u14126), _u14128)), hAPP(c_COMBK(tc_fun(_u14125, tc_HOL_Obool), _u14124), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14123, tc_fun(_u14125, tc_HOL_Obool)), _u14127), _u14129)))) )).
% 27.71/27.95 cnf(matrix-6225, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u14130, _u14131), _u14132), _u14133) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14130, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)), _u14132), hAPP(hAPP(c_COMBS(_u14130, tc_fun(_u14131, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)), tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14131, tc_HOL_Obool), tc_fun(tc_fun(_u14131, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)), tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)), _u14130), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14131, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool))), _u14133)), hAPP(hAPP(c_COMBC(_u14130, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool), tc_fun(_u14131, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14131, tc_fun(tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool), tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool), tc_fun(_u14131, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool))), _u14130), c_COMBC(_u14131, tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool), tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14131, tc_prod(_u14130, _u14131)), tc_fun(_u14131, tc_fun(tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool), tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool))), _u14130), hAPP(c_COMBB(tc_prod(_u14130, _u14131), tc_fun(tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool), tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)), _u14131), c_Set_Oinsert(tc_prod(_u14130, _u14131)))), c_Product__Type_OPair(_u14130, _u14131)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14130, _u14131), tc_HOL_Obool)))))) )).
% 27.71/27.95 cnf(matrix-6226, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14134), _u14135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14134, _u14134), tc_HOL_Obool)), _u14136), hAPP(hAPP(c_Product__Type_OSigma(_u14134, _u14134), _u14135), hAPP(c_COMBK(tc_fun(_u14134, tc_HOL_Obool), _u14134), _u14135)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u14134, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u14134), _u14135), _u14136))) )).
% 27.71/27.95 cnf(matrix-6227, plain, ( ( hAPP(c_Set_Ovimage(_u14137, tc_prod(_u14138, _u14139), _u14140), hAPP(hAPP(c_Product__Type_OSigma(_u14138, _u14139), _u14141), hAPP(c_COMBK(tc_fun(_u14139, tc_HOL_Obool), _u14138), _u14142))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14137, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u14137, _u14138, hAPP(c_Fun_Ocomp(tc_prod(_u14138, _u14139), _u14138, _u14137, c_Product__Type_Ofst(_u14138, _u14139)), _u14140)), _u14141)), hAPP(c_Set_Ovimage(_u14137, _u14139, hAPP(c_Fun_Ocomp(tc_prod(_u14138, _u14139), _u14139, _u14137, c_Product__Type_Osnd(_u14138, _u14139)), _u14140)), _u14142))) )).
% 27.71/27.95 cnf(matrix-6228, plain, ( c_Fun_Oinj__on(_u14144, tc_prod(_u14145, _u14144), skolem295(_u14147, _u14146, _u14145, _u14144), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14145, tc_fun(_u14144, tc_HOL_Obool)), _u14146), _u14147)) )).
% 27.71/27.95 cnf(matrix-6229, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14145, _u14144), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14144, tc_prod(_u14145, _u14144), skolem295(_u14147, _u14146, _u14145, _u14144)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14145, tc_fun(_u14144, tc_HOL_Obool)), _u14146), _u14147))), hAPP(hAPP(c_Product__Type_OSigma(_u14145, _u14144), _u14146), _u14147))) )).
% 27.71/27.95 cnf(matrix-6230, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14149) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14150), _u14151)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14149, _u14150, c_Groups_Otimes__class_Otimes(_u14149)), hAPP(hAPP(c_COMBS(_u14150, tc_fun(_u14152, tc_HOL_Obool), _u14149), hAPP(hAPP(c_COMBC(_u14150, _u14149, tc_fun(tc_fun(_u14152, tc_HOL_Obool), _u14149)), hAPP(hAPP(c_COMBB(tc_fun(_u14152, _u14149), tc_fun(_u14149, tc_fun(tc_fun(_u14152, tc_HOL_Obool), _u14149)), _u14150), c_Finite__Set_Ofold__image(_u14149, _u14152, c_Groups_Otimes__class_Otimes(_u14149))), _u14154)), c_Groups_Oone__class_Oone(_u14149))), _u14153)), c_Groups_Oone__class_Oone(_u14149)), _u14151) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14149, tc_prod(_u14150, _u14152), c_Groups_Otimes__class_Otimes(_u14149)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14150, _u14152, _u14149), _u14154)), c_Groups_Oone__class_Oone(_u14149)), hAPP(hAPP(c_Product__Type_OSigma(_u14150, _u14152), _u14151), _u14153))) | hBOOL(hAPP(hAPP(c_member(_u14150), skolem296(_u14154, _u14153, _u14152, _u14151, _u14150, _u14149)), _u14151)) )).
% 27.71/27.95 cnf(matrix-6231, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14149) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14150), _u14151)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14149, _u14150, c_Groups_Otimes__class_Otimes(_u14149)), hAPP(hAPP(c_COMBS(_u14150, tc_fun(_u14152, tc_HOL_Obool), _u14149), hAPP(hAPP(c_COMBC(_u14150, _u14149, tc_fun(tc_fun(_u14152, tc_HOL_Obool), _u14149)), hAPP(hAPP(c_COMBB(tc_fun(_u14152, _u14149), tc_fun(_u14149, tc_fun(tc_fun(_u14152, tc_HOL_Obool), _u14149)), _u14150), c_Finite__Set_Ofold__image(_u14149, _u14152, c_Groups_Otimes__class_Otimes(_u14149))), _u14154)), c_Groups_Oone__class_Oone(_u14149))), _u14153)), c_Groups_Oone__class_Oone(_u14149)), _u14151) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14149, tc_prod(_u14150, _u14152), c_Groups_Otimes__class_Otimes(_u14149)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14150, _u14152, _u14149), _u14154)), c_Groups_Oone__class_Oone(_u14149)), hAPP(hAPP(c_Product__Type_OSigma(_u14150, _u14152), _u14151), _u14153))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14152), hAPP(_u14153, skolem296(_u14154, _u14153, _u14152, _u14151, _u14150, _u14149)))) )).
% 27.71/27.95 cnf(matrix-6232, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14156), _u14157)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14156, _u14158)), hAPP(hAPP(c_Product__Type_OSigma(_u14156, _u14158), _u14157), _u14159))) | hBOOL(hAPP(hAPP(c_member(_u14156), skolem297(_u14159, _u14158, _u14157, _u14156)), _u14157)) )).
% 27.71/27.95 cnf(matrix-6233, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14156), _u14157)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14156, _u14158)), hAPP(hAPP(c_Product__Type_OSigma(_u14156, _u14158), _u14157), _u14159))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14158), hAPP(_u14159, skolem297(_u14159, _u14158, _u14157, _u14156)))) )).
% 27.71/27.95 cnf(matrix-6234, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14162), _u14163)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14162, _u14161), hAPP(hAPP(c_COMBS(_u14162, tc_fun(_u14164, tc_HOL_Obool), _u14161), hAPP(hAPP(c_COMBB(tc_fun(_u14164, _u14161), tc_fun(tc_fun(_u14164, tc_HOL_Obool), _u14161), _u14162), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14164, _u14161)), _u14166)), _u14165)), _u14163) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u14162, _u14164), _u14161), hAPP(c_Product__Type_Oprod_Oprod__case(_u14162, _u14164, _u14161), _u14166)), hAPP(hAPP(c_Product__Type_OSigma(_u14162, _u14164), _u14163), _u14165))) | hBOOL(hAPP(hAPP(c_member(_u14162), skolem298(_u14166, _u14165, _u14164, _u14163, _u14162, _u14161)), _u14163)) )).
% 27.71/27.95 cnf(matrix-6235, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14162), _u14163)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14162, _u14161), hAPP(hAPP(c_COMBS(_u14162, tc_fun(_u14164, tc_HOL_Obool), _u14161), hAPP(hAPP(c_COMBB(tc_fun(_u14164, _u14161), tc_fun(tc_fun(_u14164, tc_HOL_Obool), _u14161), _u14162), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14164, _u14161)), _u14166)), _u14165)), _u14163) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u14162, _u14164), _u14161), hAPP(c_Product__Type_Oprod_Oprod__case(_u14162, _u14164, _u14161), _u14166)), hAPP(hAPP(c_Product__Type_OSigma(_u14162, _u14164), _u14163), _u14165))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14164), hAPP(_u14165, skolem298(_u14166, _u14165, _u14164, _u14163, _u14162, _u14161)))) )).
% 27.71/27.95 cnf(matrix-6236, plain, ( ~class_Groups_Ocomm__monoid__add(_u14168) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14169), _u14170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14169, _u14168), hAPP(hAPP(c_COMBS(_u14169, tc_fun(_u14171, tc_HOL_Obool), _u14168), hAPP(hAPP(c_COMBB(tc_fun(_u14171, _u14168), tc_fun(tc_fun(_u14171, tc_HOL_Obool), _u14168), _u14169), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14171, _u14168)), _u14173)), _u14172)), _u14170) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u14169, _u14171), _u14168), hAPP(c_Product__Type_Oprod_Oprod__case(_u14169, _u14171, _u14168), _u14173)), hAPP(hAPP(c_Product__Type_OSigma(_u14169, _u14171), _u14170), _u14172))) | hBOOL(hAPP(hAPP(c_member(_u14169), skolem299(_u14173, _u14172, _u14171, _u14170, _u14169, _u14168)), _u14170)) )).
% 27.71/27.95 cnf(matrix-6237, plain, ( ~class_Groups_Ocomm__monoid__add(_u14168) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14169), _u14170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14169, _u14168), hAPP(hAPP(c_COMBS(_u14169, tc_fun(_u14171, tc_HOL_Obool), _u14168), hAPP(hAPP(c_COMBB(tc_fun(_u14171, _u14168), tc_fun(tc_fun(_u14171, tc_HOL_Obool), _u14168), _u14169), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14171, _u14168)), _u14173)), _u14172)), _u14170) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u14169, _u14171), _u14168), hAPP(c_Product__Type_Oprod_Oprod__case(_u14169, _u14171, _u14168), _u14173)), hAPP(hAPP(c_Product__Type_OSigma(_u14169, _u14171), _u14170), _u14172))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14171), hAPP(_u14172, skolem299(_u14173, _u14172, _u14171, _u14170, _u14169, _u14168)))) )).
% 27.71/27.95 cnf(matrix-6238, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14175), _u14176)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u14175, _u14177)), hAPP(hAPP(c_Product__Type_OSigma(_u14175, _u14177), _u14176), _u14178)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14175, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14177, tc_HOL_Obool), tc_Nat_Onat, _u14175), c_Finite__Set_Ocard(_u14177)), _u14178)), _u14176)) | hBOOL(hAPP(hAPP(c_member(_u14175), skolem300(_u14178, _u14177, _u14176, _u14175)), _u14176)) )).
% 27.71/27.95 cnf(matrix-6239, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14175), _u14176)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u14175, _u14177)), hAPP(hAPP(c_Product__Type_OSigma(_u14175, _u14177), _u14176), _u14178)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14175, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14177, tc_HOL_Obool), tc_Nat_Onat, _u14175), c_Finite__Set_Ocard(_u14177)), _u14178)), _u14176)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14177), hAPP(_u14178, skolem300(_u14178, _u14177, _u14176, _u14175)))) )).
% 27.71/27.95 cnf(matrix-6240, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14181, _u14182)), _u14183), hAPP(hAPP(c_Product__Type_OSigma(_u14181, _u14182), _u14184), _u14185))) | hBOOL(hAPP(hAPP(c_member(_u14181), skolem301(_u14185, _u14184, _u14183, _u14182, _u14181)), _u14184)) )).
% 27.71/27.95 cnf(matrix-6241, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14181, _u14182)), _u14183), hAPP(hAPP(c_Product__Type_OSigma(_u14181, _u14182), _u14184), _u14185))) | hBOOL(hAPP(hAPP(c_member(_u14182), skolem302(_u14185, _u14184, _u14183, _u14182, _u14181)), hAPP(_u14185, skolem301(_u14185, _u14184, _u14183, _u14182, _u14181)))) )).
% 27.71/27.95 cnf(matrix-6242, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14181, _u14182)), _u14183), hAPP(hAPP(c_Product__Type_OSigma(_u14181, _u14182), _u14184), _u14185))) | ( _u14183 = hAPP(hAPP(c_Product__Type_OPair(_u14181, _u14182), skolem301(_u14185, _u14184, _u14183, _u14182, _u14181)), skolem302(_u14185, _u14184, _u14183, _u14182, _u14181))) )).
% 27.71/27.95 cnf(matrix-6243, plain, ( ( hAPP(c_Set_Oimage(_u14186, _u14187, _u14188), c_Orderings_Otop__class_Otop(tc_fun(_u14186, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u14187, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u14189, _u14190, _u14191), c_Orderings_Otop__class_Otop(tc_fun(_u14189, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u14190, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u14186, _u14189), tc_prod(_u14187, _u14190), c_Product__Type_Omap__pair(_u14186, _u14187, _u14189, _u14190, _u14188, _u14191)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u14186, _u14189), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u14187, _u14190), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6244, plain, ( ~c_Fun_Oinj__on(_u14192, _u14193, _u14194, _u14195) | ~c_Fun_Oinj__on(_u14196, _u14197, _u14198, _u14199) | c_Fun_Oinj__on(tc_prod(_u14192, _u14196), tc_prod(_u14193, _u14197), c_Product__Type_Omap__pair(_u14192, _u14193, _u14196, _u14197, _u14194, _u14198), hAPP(hAPP(c_Product__Type_OSigma(_u14192, _u14196), _u14195), hAPP(c_COMBK(tc_fun(_u14196, tc_HOL_Obool), _u14192), _u14199))) )).
% 27.71/27.95 cnf(matrix-6245, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14200, _u14201)), hAPP(hAPP(c_Product__Type_OPair(_u14200, _u14201), _u14202), _u14203)), _u14204)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14205, _u14206)), hAPP(hAPP(c_Product__Type_OPair(_u14205, _u14206), hAPP(_u14207, _u14202)), hAPP(_u14208, _u14203))), hAPP(c_Set_Oimage(tc_prod(_u14200, _u14201), tc_prod(_u14205, _u14206), c_Product__Type_Omap__pair(_u14200, _u14205, _u14201, _u14206, _u14207, _u14208)), _u14204))) )).
% 27.71/27.95 cnf(matrix-6246, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14209, _u14210), _u14209, tc_prod(_u14211, _u14212), c_Product__Type_Ofst(_u14209, _u14210)), c_Product__Type_Omap__pair(_u14211, _u14209, _u14212, _u14210, _u14213, _u14214)) = hAPP(c_Fun_Ocomp(_u14211, _u14209, tc_prod(_u14211, _u14212), _u14213), c_Product__Type_Ofst(_u14211, _u14212))) )).
% 27.71/27.95 cnf(matrix-6247, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14215, _u14216), _u14216, tc_prod(_u14217, _u14218), c_Product__Type_Osnd(_u14215, _u14216)), c_Product__Type_Omap__pair(_u14217, _u14215, _u14218, _u14216, _u14219, _u14220)) = hAPP(c_Fun_Ocomp(_u14218, _u14216, tc_prod(_u14217, _u14218), _u14220), c_Product__Type_Osnd(_u14217, _u14218))) )).
% 27.71/27.95 cnf(matrix-6248, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14221, _u14222), tc_prod(_u14223, _u14224), tc_prod(_u14225, _u14226), c_Product__Type_Omap__pair(_u14221, _u14223, _u14222, _u14224, _u14227, _u14228)), c_Product__Type_Omap__pair(_u14225, _u14221, _u14226, _u14222, _u14229, _u14230)) = c_Product__Type_Omap__pair(_u14225, _u14223, _u14226, _u14224, hAPP(c_Fun_Ocomp(_u14221, _u14223, _u14225, _u14227), _u14229), hAPP(c_Fun_Ocomp(_u14222, _u14224, _u14226, _u14228), _u14230))) )).
% 27.71/27.95 cnf(matrix-6249, plain, ( ( c_Product__Type_Omap__pair(_u14231, _u14232, _u14233, _u14234, hAPP(c_Fun_Ocomp(_u14235, _u14232, _u14231, _u14236), _u14237), hAPP(c_Fun_Ocomp(_u14238, _u14234, _u14233, _u14239), _u14240)) = hAPP(c_Fun_Ocomp(tc_prod(_u14235, _u14238), tc_prod(_u14232, _u14234), tc_prod(_u14231, _u14233), c_Product__Type_Omap__pair(_u14235, _u14232, _u14238, _u14234, _u14236, _u14239)), c_Product__Type_Omap__pair(_u14231, _u14235, _u14233, _u14238, _u14237, _u14240))) )).
% 27.71/27.95 cnf(matrix-6250, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u14241, _u14242, _u14243, _u14244, _u14245, _u14246), hAPP(c_Product__Type_Omap__pair(_u14247, _u14241, _u14248, _u14243, _u14249, _u14250), _u14251)) = hAPP(c_Product__Type_Omap__pair(_u14247, _u14242, _u14248, _u14244, hAPP(c_Fun_Ocomp(_u14241, _u14242, _u14247, _u14245), _u14249), hAPP(c_Fun_Ocomp(_u14243, _u14244, _u14248, _u14246), _u14250)), _u14251)) )).
% 27.71/27.95 cnf(matrix-6251, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u14252, _u14252, _u14253, _u14253, c_COMBI(_u14252), c_COMBI(_u14253)), _u14254) = _u14254) )).
% 27.71/27.95 cnf(matrix-6252, plain, ( ( hAPP(c_Product__Type_Osnd(_u14255, _u14256), hAPP(c_Product__Type_Omap__pair(_u14257, _u14255, _u14258, _u14256, _u14259, _u14260), _u14261)) = hAPP(_u14260, hAPP(c_Product__Type_Osnd(_u14257, _u14258), _u14261))) )).
% 27.71/27.95 cnf(matrix-6253, plain, ( ( hAPP(c_Product__Type_Ofst(_u14262, _u14263), hAPP(c_Product__Type_Omap__pair(_u14264, _u14262, _u14265, _u14263, _u14266, _u14267), _u14268)) = hAPP(_u14266, hAPP(c_Product__Type_Ofst(_u14264, _u14265), _u14268))) )).
% 27.71/27.95 cnf(matrix-6254, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u14269, _u14270, _u14271, _u14272, _u14273, _u14274), hAPP(hAPP(c_Product__Type_OPair(_u14269, _u14271), _u14275), _u14276)) = hAPP(hAPP(c_Product__Type_OPair(_u14270, _u14272), hAPP(_u14273, _u14275)), hAPP(_u14274, _u14276))) )).
% 27.71/27.95 cnf(matrix-6255, plain, ( ( c_Product__Type_Omap__pair(_u14277, _u14278, _u14279, _u14280, _u14281, _u14282) = hAPP(c_Product__Type_Oprod_Oprod__case(_u14277, _u14279, tc_prod(_u14278, _u14280)), hAPP(hAPP(c_COMBC(_u14277, tc_fun(_u14279, _u14280), tc_fun(_u14279, tc_prod(_u14278, _u14280))), hAPP(hAPP(c_COMBB(tc_fun(_u14280, tc_prod(_u14278, _u14280)), tc_fun(tc_fun(_u14279, _u14280), tc_fun(_u14279, tc_prod(_u14278, _u14280))), _u14277), c_COMBB(_u14280, tc_prod(_u14278, _u14280), _u14279)), hAPP(hAPP(c_COMBB(_u14278, tc_fun(_u14280, tc_prod(_u14278, _u14280)), _u14277), c_Product__Type_OPair(_u14278, _u14280)), _u14281))), _u14282))) )).
% 27.71/27.95 cnf(matrix-6256, plain, ( ( hAPP(c_Set_Oimage(_u14283, _u14284, _u14285), _u14286) != _u14287) | ( hAPP(c_Set_Oimage(_u14288, _u14289, _u14290), _u14291) != _u14292) | ( hAPP(c_Set_Oimage(tc_prod(_u14283, _u14288), tc_prod(_u14284, _u14289), c_Product__Type_Omap__pair(_u14283, _u14284, _u14288, _u14289, _u14285, _u14290)), hAPP(hAPP(c_Product__Type_OSigma(_u14283, _u14288), _u14286), hAPP(c_COMBK(tc_fun(_u14288, tc_HOL_Obool), _u14283), _u14291))) = hAPP(hAPP(c_Product__Type_OSigma(_u14284, _u14289), _u14287), hAPP(c_COMBK(tc_fun(_u14289, tc_HOL_Obool), _u14284), _u14292))) )).
% 27.71/27.95 cnf(matrix-6257, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14296)), _u14297), hAPP(c_Set_Oimage(tc_prod(_u14298, _u14299), tc_prod(_u14295, _u14296), c_Product__Type_Omap__pair(_u14298, _u14295, _u14299, _u14296, _u14300, _u14301)), _u14302))) | ( _u14297 = hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14296), hAPP(_u14300, skolem303(_u14302, _u14301, _u14300, _u14299, _u14298, _u14297, _u14296, _u14295))), hAPP(_u14301, skolem304(_u14302, _u14301, _u14300, _u14299, _u14298, _u14297, _u14296, _u14295)))) )).
% 27.71/27.95 cnf(matrix-6258, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14296)), _u14297), hAPP(c_Set_Oimage(tc_prod(_u14298, _u14299), tc_prod(_u14295, _u14296), c_Product__Type_Omap__pair(_u14298, _u14295, _u14299, _u14296, _u14300, _u14301)), _u14302))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14298, _u14299)), hAPP(hAPP(c_Product__Type_OPair(_u14298, _u14299), skolem303(_u14302, _u14301, _u14300, _u14299, _u14298, _u14297, _u14296, _u14295)), skolem304(_u14302, _u14301, _u14300, _u14299, _u14298, _u14297, _u14296, _u14295))), _u14302)) )).
% 27.71/27.95 cnf(matrix-6259, plain, ( ~c_Relation_Orefl__on(_u14308, _u14310, _u14312) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14308, _u14308), tc_HOL_Obool)), _u14312), hAPP(hAPP(c_Product__Type_OSigma(_u14308, _u14308), _u14310), hAPP(c_COMBK(tc_fun(_u14308, tc_HOL_Obool), _u14308), _u14310)))) )).
% 27.71/27.95 cnf(matrix-6260, plain, ( ~c_Relation_Orefl__on(_u14308, _u14310, _u14312) | ~hBOOL(hAPP(hAPP(c_member(_u14308), _u14303), _u14310)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14308, _u14308)), hAPP(hAPP(c_Product__Type_OPair(_u14308, _u14308), _u14303), _u14303)), _u14312)) )).
% 27.71/27.95 cnf(matrix-6261, plain, ( c_Relation_Orefl__on(_u14309, _u14311, _u14313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14309, _u14309), tc_HOL_Obool)), _u14313), hAPP(hAPP(c_Product__Type_OSigma(_u14309, _u14309), _u14311), hAPP(c_COMBK(tc_fun(_u14309, tc_HOL_Obool), _u14309), _u14311)))) | hBOOL(hAPP(hAPP(c_member(_u14309), skolem305(_u14313, _u14311, _u14309)), _u14311)) )).
% 27.71/27.95 cnf(matrix-6262, plain, ( c_Relation_Orefl__on(_u14309, _u14311, _u14313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14309, _u14309), tc_HOL_Obool)), _u14313), hAPP(hAPP(c_Product__Type_OSigma(_u14309, _u14309), _u14311), hAPP(c_COMBK(tc_fun(_u14309, tc_HOL_Obool), _u14309), _u14311)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14309)), hAPP(hAPP(c_Product__Type_OPair(_u14309, _u14309), skolem305(_u14313, _u14311, _u14309)), skolem305(_u14313, _u14311, _u14309))), _u14313)) )).
% 27.71/27.95 cnf(matrix-6263, plain, ( c_Relation_Orefl__on(_u14314, _u14315, c_Relation_OId__on(_u14314, _u14315)) )).
% 27.71/27.95 cnf(matrix-6264, plain, ( c_Relation_Orefl__on(_u14316, c_Orderings_Obot__class_Obot(tc_fun(_u14316, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14316, _u14316), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6265, plain, ( ~c_Relation_Orefl__on(_u14317, _u14318, _u14319) | ~c_Relation_Orefl__on(_u14317, _u14320, _u14321) | c_Relation_Orefl__on(_u14317, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14317, tc_HOL_Obool)), _u14318), _u14320), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14317, _u14317), tc_HOL_Obool)), _u14319), _u14321)) )).
% 27.71/27.95 cnf(matrix-6266, plain, ( ~c_Relation_Orefl__on(_u14322, _u14323, _u14324) | ~c_Relation_Orefl__on(_u14322, _u14325, _u14326) | c_Relation_Orefl__on(_u14322, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14322, tc_HOL_Obool)), _u14323), _u14325), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14322, _u14322), tc_HOL_Obool)), _u14324), _u14326)) )).
% 27.71/27.95 cnf(matrix-6267, plain, ( ~c_Relation_Orefl__on(_u14327, _u14328, _u14329) | ~hBOOL(hAPP(hAPP(c_member(_u14327), _u14330), _u14328)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14327, _u14327)), hAPP(hAPP(c_Product__Type_OPair(_u14327, _u14327), _u14330), _u14330)), _u14329)) )).
% 27.71/27.95 cnf(matrix-6268, plain, ( ~c_Relation_Orefl__on(_u14331, _u14332, _u14333) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14331, _u14331)), hAPP(hAPP(c_Product__Type_OPair(_u14331, _u14331), _u14334), _u14335)), _u14333)) | hBOOL(hAPP(hAPP(c_member(_u14331), _u14334), _u14332)) )).
% 27.71/27.95 cnf(matrix-6269, plain, ( ~c_Relation_Orefl__on(_u14336, _u14337, _u14338) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14339), _u14340)), _u14338)) | hBOOL(hAPP(hAPP(c_member(_u14336), _u14340), _u14337)) )).
% 27.71/27.95 cnf(matrix-6270, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14342, _u14342), tc_HOL_Obool)), _u14343), hAPP(hAPP(c_Product__Type_OSigma(_u14342, _u14342), _u14344), hAPP(c_COMBK(tc_fun(_u14342, tc_HOL_Obool), _u14342), _u14344)))) | c_Relation_Orefl__on(_u14342, _u14344, _u14343) | hBOOL(hAPP(hAPP(c_member(_u14342), skolem306(_u14344, _u14343, _u14342)), _u14344)) )).
% 27.71/27.95 cnf(matrix-6271, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14342, _u14342), tc_HOL_Obool)), _u14343), hAPP(hAPP(c_Product__Type_OSigma(_u14342, _u14342), _u14344), hAPP(c_COMBK(tc_fun(_u14342, tc_HOL_Obool), _u14342), _u14344)))) | c_Relation_Orefl__on(_u14342, _u14344, _u14343) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14342, _u14342)), hAPP(hAPP(c_Product__Type_OPair(_u14342, _u14342), skolem306(_u14344, _u14343, _u14342)), skolem306(_u14344, _u14343, _u14342))), _u14343)) )).
% 27.71/27.95 cnf(matrix-6272, plain, ( ~class_Groups_Oab__semigroup__mult(_u14345) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14345), _u14346)) | ( _u14346 = c_Orderings_Obot__class_Obot(tc_fun(_u14345, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14345), _u14347)) | ( _u14347 = c_Orderings_Obot__class_Obot(tc_fun(_u14345, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14345, tc_HOL_Obool)), _u14346), _u14347) != c_Orderings_Obot__class_Obot(tc_fun(_u14345, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u14345, c_Groups_Otimes__class_Otimes(_u14345)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14345, tc_HOL_Obool)), _u14346), _u14347)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14345), hAPP(c_Finite__Set_Ofold1(_u14345, c_Groups_Otimes__class_Otimes(_u14345)), _u14346)), hAPP(c_Finite__Set_Ofold1(_u14345, c_Groups_Otimes__class_Otimes(_u14345)), _u14347))) )).
% 27.71/27.95 cnf(matrix-6273, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u14348, _u14349), hAPP(hAPP(c_Set_Oinsert(_u14348), _u14350), c_Orderings_Obot__class_Obot(tc_fun(_u14348, tc_HOL_Obool)))) = _u14350) )).
% 27.71/27.95 cnf(matrix-6274, plain, ( ( _u14351 != c_Finite__Set_Ofold1(_u14352, _u14353)) | ( hAPP(_u14351, hAPP(hAPP(c_Set_Oinsert(_u14352), _u14354), c_Orderings_Obot__class_Obot(tc_fun(_u14352, tc_HOL_Obool)))) = _u14354) )).
% 27.71/27.95 cnf(matrix-6275, plain, ( ~c_Finite__Set_Ofolding__one(_u14355, _u14356, _u14357) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14355), _u14358)) | ( hAPP(_u14357, _u14358) = hAPP(c_Finite__Set_Ofold1(_u14355, _u14356), _u14358)) )).
% 27.71/27.95 cnf(matrix-6276, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u14359, _u14360), _u14361) = c_HOL_OThe(_u14359, c_Finite__Set_Ofold1Set(_u14359, _u14360, _u14361))) )).
% 27.71/27.95 cnf(matrix-6277, plain, ( ~class_Lattices_Olattice(_u14362) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14362), _u14363)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14362, _u14363) = hAPP(c_Finite__Set_Ofold1(_u14362, c_Lattices_Osemilattice__sup__class_Osup(_u14362)), _u14363)) )).
% 27.71/27.95 cnf(matrix-6278, plain, ( ~class_Lattices_Olattice(_u14364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14364), _u14365)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14364, _u14365) = hAPP(c_Finite__Set_Ofold1(_u14364, c_Lattices_Osemilattice__inf__class_Oinf(_u14364)), _u14365)) )).
% 27.71/27.95 cnf(matrix-6279, plain, ( ~class_Orderings_Olinorder(_u14366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14366), _u14367)) | ( c_Big__Operators_Olinorder__class_OMin(_u14366, _u14367) = hAPP(c_Finite__Set_Ofold1(_u14366, c_Orderings_Oord__class_Omin(_u14366)), _u14367)) )).
% 27.71/27.95 cnf(matrix-6280, plain, ( ~class_Orderings_Olinorder(_u14368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14368), _u14369)) | ( c_Big__Operators_Olinorder__class_OMax(_u14368, _u14369) = hAPP(c_Finite__Set_Ofold1(_u14368, c_Orderings_Oord__class_Omax(_u14368)), _u14369)) )).
% 27.71/27.95 cnf(matrix-6281, plain, ( ~class_Orderings_Olinorder(_u14370) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14370), _u14371)) | ( c_Big__Operators_Olattice_OInf__fin(_u14370, c_Orderings_Oord__class_Omin(_u14370), _u14371) = hAPP(c_Finite__Set_Ofold1(_u14370, c_Orderings_Oord__class_Omin(_u14370)), _u14371)) )).
% 27.71/27.95 cnf(matrix-6282, plain, ( ~class_Orderings_Olinorder(_u14372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14372), _u14373)) | ( c_Big__Operators_Olattice_OSup__fin(_u14372, c_Orderings_Oord__class_Omax(_u14372), _u14373) = hAPP(c_Finite__Set_Ofold1(_u14372, c_Orderings_Oord__class_Omax(_u14372)), _u14373)) )).
% 27.71/27.95 cnf(matrix-6283, plain, ( ~class_Lattices_Osemilattice__inf(_u14374) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14374), _u14375)) | ~hBOOL(hAPP(hAPP(c_member(_u14374), _u14376), _u14375)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14374), hAPP(c_Finite__Set_Ofold1(_u14374, c_Lattices_Osemilattice__inf__class_Oinf(_u14374)), _u14375)), _u14376)) )).
% 27.71/27.95 cnf(matrix-6284, plain, ( ~class_Lattices_Osemilattice__inf(_u14379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14379), _u14380)) | ( _u14380 = c_Orderings_Obot__class_Obot(tc_fun(_u14379, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14379), _u14381), hAPP(c_Finite__Set_Ofold1(_u14379, c_Lattices_Osemilattice__inf__class_Oinf(_u14379)), _u14380))) | ~hBOOL(hAPP(hAPP(c_member(_u14379), _u14377), _u14380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14379), _u14381), _u14377)) )).
% 27.71/27.95 cnf(matrix-6285, plain, ( ~class_Lattices_Osemilattice__inf(_u14379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14379), _u14380)) | ( _u14380 = c_Orderings_Obot__class_Obot(tc_fun(_u14379, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14379), _u14381), hAPP(c_Finite__Set_Ofold1(_u14379, c_Lattices_Osemilattice__inf__class_Oinf(_u14379)), _u14380))) | hBOOL(hAPP(hAPP(c_member(_u14379), skolem307(_u14381, _u14380, _u14379)), _u14380)) )).
% 27.71/27.95 cnf(matrix-6286, plain, ( ~class_Lattices_Osemilattice__inf(_u14379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14379), _u14380)) | ( _u14380 = c_Orderings_Obot__class_Obot(tc_fun(_u14379, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14379), _u14381), hAPP(c_Finite__Set_Ofold1(_u14379, c_Lattices_Osemilattice__inf__class_Oinf(_u14379)), _u14380))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14379), _u14381), skolem307(_u14381, _u14380, _u14379))) )).
% 27.71/27.95 cnf(matrix-6287, plain, ( ~class_Orderings_Olinorder(_u14382) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14382), _u14383)) | ~hBOOL(hAPP(hAPP(c_member(_u14382), _u14384), _u14383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14382), hAPP(c_Finite__Set_Ofold1(_u14382, c_Orderings_Oord__class_Omin(_u14382)), _u14383)), _u14384)) )).
% 27.71/27.95 cnf(matrix-6288, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14385) | ( _u14386 = c_Orderings_Obot__class_Obot(tc_fun(_u14385, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14385), _u14386)) | ( hAPP(c_Finite__Set_Ofold1(_u14385, c_Groups_Otimes__class_Otimes(_u14385)), hAPP(hAPP(c_Set_Oinsert(_u14385), _u14387), _u14386)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14385), _u14387), hAPP(c_Finite__Set_Ofold1(_u14385, c_Groups_Otimes__class_Otimes(_u14385)), _u14386))) )).
% 27.71/27.95 cnf(matrix-6289, plain, ( ~class_Orderings_Olinorder(_u14390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14390), _u14391)) | ( _u14391 = c_Orderings_Obot__class_Obot(tc_fun(_u14390, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14390), _u14392), hAPP(c_Finite__Set_Ofold1(_u14390, c_Orderings_Oord__class_Omin(_u14390)), _u14391))) | ~hBOOL(hAPP(hAPP(c_member(_u14390), _u14388), _u14391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14390), _u14392), _u14388)) )).
% 27.71/27.95 cnf(matrix-6290, plain, ( ~class_Orderings_Olinorder(_u14390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14390), _u14391)) | ( _u14391 = c_Orderings_Obot__class_Obot(tc_fun(_u14390, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14390), _u14392), hAPP(c_Finite__Set_Ofold1(_u14390, c_Orderings_Oord__class_Omin(_u14390)), _u14391))) | hBOOL(hAPP(hAPP(c_member(_u14390), skolem308(_u14392, _u14391, _u14390)), _u14391)) )).
% 27.71/27.95 cnf(matrix-6291, plain, ( ~class_Orderings_Olinorder(_u14390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14390), _u14391)) | ( _u14391 = c_Orderings_Obot__class_Obot(tc_fun(_u14390, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14390), _u14392), hAPP(c_Finite__Set_Ofold1(_u14390, c_Orderings_Oord__class_Omin(_u14390)), _u14391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14390), _u14392), skolem308(_u14392, _u14391, _u14390))) )).
% 27.71/27.95 cnf(matrix-6292, plain, ( ~class_Orderings_Olinorder(_u14395) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14395), _u14396)) | ( _u14396 = c_Orderings_Obot__class_Obot(tc_fun(_u14395, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14395), hAPP(c_Finite__Set_Ofold1(_u14395, c_Orderings_Oord__class_Omin(_u14395)), _u14396)), _u14397)) | hBOOL(hAPP(hAPP(c_member(_u14395), skolem309(_u14397, _u14396, _u14395)), _u14396)) )).
% 27.71/27.95 cnf(matrix-6293, plain, ( ~class_Orderings_Olinorder(_u14395) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14395), _u14396)) | ( _u14396 = c_Orderings_Obot__class_Obot(tc_fun(_u14395, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14395), hAPP(c_Finite__Set_Ofold1(_u14395, c_Orderings_Oord__class_Omin(_u14395)), _u14396)), _u14397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14395), skolem309(_u14397, _u14396, _u14395)), _u14397)) )).
% 27.71/27.95 cnf(matrix-6294, plain, ( ~class_Orderings_Olinorder(_u14395) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14395), _u14396)) | ( _u14396 = c_Orderings_Obot__class_Obot(tc_fun(_u14395, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14395), _u14394), _u14396)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14395), _u14394), _u14397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14395), hAPP(c_Finite__Set_Ofold1(_u14395, c_Orderings_Oord__class_Omin(_u14395)), _u14396)), _u14397)) )).
% 27.71/27.95 cnf(matrix-6295, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14398) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14398), _u14399)) | ( _u14399 = c_Orderings_Obot__class_Obot(tc_fun(_u14398, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14398), _u14400)) | ( _u14400 = c_Orderings_Obot__class_Obot(tc_fun(_u14398, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u14398, c_Groups_Otimes__class_Otimes(_u14398)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14398, tc_HOL_Obool)), _u14399), _u14400)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14398), hAPP(c_Finite__Set_Ofold1(_u14398, c_Groups_Otimes__class_Otimes(_u14398)), _u14399)), hAPP(c_Finite__Set_Ofold1(_u14398, c_Groups_Otimes__class_Otimes(_u14398)), _u14400))) )).
% 27.71/27.95 cnf(matrix-6296, plain, ( ~class_Orderings_Olinorder(_u14403) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14403), _u14404)) | ( _u14404 = c_Orderings_Obot__class_Obot(tc_fun(_u14403, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14403), hAPP(c_Finite__Set_Ofold1(_u14403, c_Orderings_Oord__class_Omin(_u14403)), _u14404)), _u14405)) | hBOOL(hAPP(hAPP(c_member(_u14403), skolem310(_u14405, _u14404, _u14403)), _u14404)) )).
% 27.71/27.95 cnf(matrix-6297, plain, ( ~class_Orderings_Olinorder(_u14403) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14403), _u14404)) | ( _u14404 = c_Orderings_Obot__class_Obot(tc_fun(_u14403, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14403), hAPP(c_Finite__Set_Ofold1(_u14403, c_Orderings_Oord__class_Omin(_u14403)), _u14404)), _u14405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14403), skolem310(_u14405, _u14404, _u14403)), _u14405)) )).
% 27.71/27.95 cnf(matrix-6298, plain, ( ~class_Orderings_Olinorder(_u14403) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14403), _u14404)) | ( _u14404 = c_Orderings_Obot__class_Obot(tc_fun(_u14403, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14403), _u14402), _u14404)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14403), _u14402), _u14405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14403), hAPP(c_Finite__Set_Ofold1(_u14403, c_Orderings_Oord__class_Omin(_u14403)), _u14404)), _u14405)) )).
% 27.71/27.95 cnf(matrix-6299, plain, ( ~class_Orderings_Olinorder(_u14408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14408), _u14409)) | ( _u14409 = c_Orderings_Obot__class_Obot(tc_fun(_u14408, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14408), _u14410), hAPP(c_Finite__Set_Ofold1(_u14408, c_Orderings_Oord__class_Omin(_u14408)), _u14409))) | ~hBOOL(hAPP(hAPP(c_member(_u14408), _u14406), _u14409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14408), _u14410), _u14406)) )).
% 27.71/27.95 cnf(matrix-6300, plain, ( ~class_Orderings_Olinorder(_u14408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14408), _u14409)) | ( _u14409 = c_Orderings_Obot__class_Obot(tc_fun(_u14408, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14408), _u14410), hAPP(c_Finite__Set_Ofold1(_u14408, c_Orderings_Oord__class_Omin(_u14408)), _u14409))) | hBOOL(hAPP(hAPP(c_member(_u14408), skolem311(_u14410, _u14409, _u14408)), _u14409)) )).
% 27.71/27.95 cnf(matrix-6301, plain, ( ~class_Orderings_Olinorder(_u14408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14408), _u14409)) | ( _u14409 = c_Orderings_Obot__class_Obot(tc_fun(_u14408, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14408), _u14410), hAPP(c_Finite__Set_Ofold1(_u14408, c_Orderings_Oord__class_Omin(_u14408)), _u14409))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14408), _u14410), skolem311(_u14410, _u14409, _u14408))) )).
% 27.71/27.95 cnf(matrix-6302, plain, ( ~class_Groups_Oab__semigroup__mult(_u14411) | ( _u14412 = c_Orderings_Obot__class_Obot(tc_fun(_u14411, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14411), _u14412)) | hBOOL(hAPP(hAPP(c_member(_u14411), _u14413), _u14412)) | ( hAPP(c_Finite__Set_Ofold1(_u14411, c_Groups_Otimes__class_Otimes(_u14411)), hAPP(hAPP(c_Set_Oinsert(_u14411), _u14413), _u14412)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14411), _u14413), hAPP(c_Finite__Set_Ofold1(_u14411, c_Groups_Otimes__class_Otimes(_u14411)), _u14412))) )).
% 27.71/27.95 cnf(matrix-6303, plain, ( ~class_Orderings_Olinorder(_u14414) | ( _u14415 = c_Orderings_Obot__class_Obot(tc_fun(_u14414, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14414, tc_HOL_Obool)), _u14415), _u14416)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14414), _u14416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14414), hAPP(c_Finite__Set_Ofold1(_u14414, c_Orderings_Oord__class_Omin(_u14414)), _u14416)), hAPP(c_Finite__Set_Ofold1(_u14414, c_Orderings_Oord__class_Omin(_u14414)), _u14415))) )).
% 27.71/27.95 cnf(matrix-6304, plain, ( ~c_Big__Operators_Osemilattice__big(_u14417, _u14418, _u14419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14417), _u14420)) | ( hAPP(_u14419, _u14420) = hAPP(c_Finite__Set_Ofold1(_u14417, _u14418), _u14420)) )).
% 27.71/27.95 cnf(matrix-6305, plain, ( ~class_Groups_Oab__semigroup__mult(_u14423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14423), _u14424)) | ( _u14424 = c_Orderings_Obot__class_Obot(tc_fun(_u14423, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14423), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14423), skolem312(_u14424, _u14423)), skolem313(_u14424, _u14423))), hAPP(hAPP(c_Set_Oinsert(_u14423), skolem312(_u14424, _u14423)), hAPP(hAPP(c_Set_Oinsert(_u14423), skolem313(_u14424, _u14423)), c_Orderings_Obot__class_Obot(tc_fun(_u14423, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u14423), hAPP(c_Finite__Set_Ofold1(_u14423, c_Groups_Otimes__class_Otimes(_u14423)), _u14424)), _u14424)) )).
% 27.71/27.95 cnf(matrix-6306, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14427) | ( hAPP(_u14428, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14427), skolem314(_u14429, _u14428, _u14427)), skolem315(_u14429, _u14428, _u14427))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14427), hAPP(_u14428, skolem314(_u14429, _u14428, _u14427))), hAPP(_u14428, skolem315(_u14429, _u14428, _u14427)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14427), _u14429)) | ( _u14429 = c_Orderings_Obot__class_Obot(tc_fun(_u14427, tc_HOL_Obool))) | ( hAPP(_u14428, hAPP(c_Finite__Set_Ofold1(_u14427, c_Groups_Otimes__class_Otimes(_u14427)), _u14429)) = hAPP(c_Finite__Set_Ofold1(_u14427, c_Groups_Otimes__class_Otimes(_u14427)), hAPP(c_Set_Oimage(_u14427, _u14427, _u14428), _u14429))) )).
% 27.71/27.95 cnf(matrix-6307, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14431), _u14432)) | 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(_u14431, tc_Nat_Onat), _u14433), _u14432))) | hBOOL(hAPP(hAPP(c_member(_u14431), skolem316(_u14433, _u14432, _u14431)), _u14432)) )).
% 27.71/27.95 cnf(matrix-6308, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14431), _u14432)) | 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(_u14431, tc_Nat_Onat), _u14433), _u14432))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u14433, skolem316(_u14433, _u14432, _u14431)))) )).
% 27.71/27.95 cnf(matrix-6309, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u14436, _u14437, _u14438) | ( hAPP(_u14439, hAPP(hAPP(_u14437, skolem317(_u14440, _u14439, _u14438, _u14437, _u14436)), skolem318(_u14440, _u14439, _u14438, _u14437, _u14436))) != hAPP(hAPP(_u14437, hAPP(_u14439, skolem317(_u14440, _u14439, _u14438, _u14437, _u14436))), hAPP(_u14439, skolem318(_u14440, _u14439, _u14438, _u14437, _u14436)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14436), _u14440)) | ( _u14440 = c_Orderings_Obot__class_Obot(tc_fun(_u14436, tc_HOL_Obool))) | ( hAPP(_u14439, hAPP(_u14438, _u14440)) = hAPP(_u14438, hAPP(c_Set_Oimage(_u14436, _u14436, _u14439), _u14440))) )).
% 27.71/27.95 cnf(matrix-6310, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u14442), c_Int_OInteg)) | ( _u14442 = hAPP(c_Int_ORep__Integ, skolem319(_u14442))) )).
% 27.71/27.95 cnf(matrix-6311, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u14444), c_Int_OInteg)) | ~hBOOL(hAPP(_u14445, hAPP(c_Int_ORep__Integ, skolem320(_u14445, _u14444)))) | hBOOL(hAPP(_u14445, _u14444)) )).
% 27.71/27.95 cnf(matrix-6312, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u14446, tc_fun(_u14446, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14446, tc_HOL_Obool), tc_fun(tc_fun(_u14446, tc_HOL_Obool), tc_fun(_u14446, tc_HOL_Obool)), _u14446), hAPP(c_COMBC(tc_fun(_u14446, tc_HOL_Obool), tc_fun(_u14446, tc_HOL_Obool), tc_fun(_u14446, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u14446, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u14446, tc_fun(_u14446, tc_HOL_Obool), tc_fun(_u14446, tc_HOL_Obool)), c_Set_Oinsert(_u14446)), c_Orderings_Obot__class_Obot(tc_fun(_u14446, tc_HOL_Obool))))) )).
% 27.71/27.95 cnf(matrix-6313, plain, ( ( hAPP(c_Fun_Ocomp(_u14448, _u14448, _u14448, hAPP(_u14449, _u14450)), hAPP(_u14449, _u14450)) = hAPP(_u14449, _u14450)) | ~c_Finite__Set_Ofun__left__comm__idem(_u14447, _u14448, _u14449) )).
% 27.71/27.95 cnf(matrix-6314, plain, ( ~class_Orderings_Olinorder(_u14451) | c_Finite__Set_Ofun__left__comm__idem(_u14451, _u14451, c_Orderings_Oord__class_Omin(_u14451)) )).
% 27.71/27.95 cnf(matrix-6315, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14452) | c_Finite__Set_Ofun__left__comm__idem(_u14452, _u14452, c_Groups_Otimes__class_Otimes(_u14452)) )).
% 27.71/27.95 cnf(matrix-6316, plain, ( ~class_Lattices_Osemilattice__sup(_u14453) | c_Finite__Set_Ofun__left__comm__idem(_u14453, _u14453, c_Lattices_Osemilattice__sup__class_Osup(_u14453)) )).
% 27.71/27.95 cnf(matrix-6317, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14454, _u14455, _u14456) | c_Finite__Set_Ofun__left__comm__idem(_u14457, _u14455, hAPP(hAPP(c_COMBB(_u14454, tc_fun(_u14455, _u14455), _u14457), _u14456), _u14458)) )).
% 27.71/27.95 cnf(matrix-6318, plain, ( ( hAPP(hAPP(_u14461, _u14462), hAPP(hAPP(_u14461, _u14462), _u14463)) = hAPP(hAPP(_u14461, _u14462), _u14463)) | ~c_Finite__Set_Ofun__left__comm__idem(_u14459, _u14460, _u14461) )).
% 27.71/27.95 cnf(matrix-6319, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u14464, tc_fun(_u14464, tc_HOL_Obool), c_Set_Oinsert(_u14464)) )).
% 27.71/27.95 cnf(matrix-6320, plain, ( ~class_Lattices_Osemilattice__inf(_u14465) | c_Finite__Set_Ofun__left__comm__idem(_u14465, _u14465, c_Lattices_Osemilattice__inf__class_Oinf(_u14465)) )).
% 27.71/27.95 cnf(matrix-6321, plain, ( ~class_Orderings_Olinorder(_u14466) | c_Finite__Set_Ofun__left__comm__idem(_u14466, _u14466, c_Orderings_Oord__class_Omax(_u14466)) )).
% 27.71/27.95 cnf(matrix-6322, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u14468, _u14469, _u14470, _u14471, _u14472, _u14473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14469), _u14474)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14469), _u14475)) | ( hAPP(_u14473, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14469, tc_HOL_Obool)), _u14474), _u14475)) = hAPP(hAPP(_u14470, hAPP(_u14473, _u14474)), hAPP(_u14473, _u14475))) | hBOOL(hAPP(hAPP(c_member(_u14469), skolem321(_u14475, _u14474, _u14473, _u14472, _u14471, _u14470, _u14469)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14469, tc_HOL_Obool)), _u14474), _u14475))) )).
% 27.71/27.95 cnf(matrix-6323, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u14468, _u14469, _u14470, _u14471, _u14472, _u14473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14469), _u14474)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14469), _u14475)) | ( hAPP(_u14473, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14469, tc_HOL_Obool)), _u14474), _u14475)) = hAPP(hAPP(_u14470, hAPP(_u14473, _u14474)), hAPP(_u14473, _u14475))) | ( hAPP(_u14472, skolem321(_u14475, _u14474, _u14473, _u14472, _u14471, _u14470, _u14469)) != _u14471) )).
% 27.71/27.95 cnf(matrix-6324, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14476)) | ( 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)), _u14476))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u14477)))) = 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)), _u14476))), 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, _u14477)))))) )).
% 27.71/27.95 cnf(matrix-6325, plain, ( ~hBOOL(hAPP(_u14478, _u14479)) | hBOOL(hAPP(hAPP(c_member(_u14480), _u14479), hAPP(c_Set_OCollect(_u14480), _u14478))) )).
% 27.71/27.95 cnf(matrix-6326, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14481), hAPP(c_Set_OCollect(_u14481), hAPP(hAPP(c_COMBS(_u14481, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14481), c_fconj), _u14482)), _u14483)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14481), hAPP(c_Set_OCollect(_u14481), _u14482))) )).
% 27.71/27.95 cnf(matrix-6327, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14481), hAPP(c_Set_OCollect(_u14481), hAPP(hAPP(c_COMBS(_u14481, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14481), c_fconj), _u14482)), _u14483)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14481), hAPP(c_Set_OCollect(_u14481), _u14483))) )).
% 27.71/27.95 cnf(matrix-6328, 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)), _u14484)))) )).
% 27.71/27.95 cnf(matrix-6329, 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)), _u14485)))) )).
% 27.71/27.95 cnf(matrix-6330, plain, ( ~hBOOL(hAPP(_u14489, _u14491)) | ( hAPP(c_Set_OCollect(_u14493), hAPP(hAPP(c_COMBS(_u14493, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14493), c_fconj), hAPP(hAPP(c_COMBC(_u14493, _u14493, tc_HOL_Obool), c_fequal), _u14491))), _u14489)) = hAPP(hAPP(c_Set_Oinsert(_u14493), _u14491), c_Orderings_Obot__class_Obot(tc_fun(_u14493, tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-6331, plain, ( hBOOL(hAPP(_u14490, _u14492)) | ( hAPP(c_Set_OCollect(_u14494), hAPP(hAPP(c_COMBS(_u14494, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14494), c_fconj), hAPP(hAPP(c_COMBC(_u14494, _u14494, tc_HOL_Obool), c_fequal), _u14492))), _u14490)) = c_Orderings_Obot__class_Obot(tc_fun(_u14494, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6332, plain, ( ~hBOOL(hAPP(_u14498, _u14500)) | ( hAPP(c_Set_OCollect(_u14502), hAPP(hAPP(c_COMBS(_u14502, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14502), c_fconj), hAPP(c_fequal, _u14500))), _u14498)) = hAPP(hAPP(c_Set_Oinsert(_u14502), _u14500), c_Orderings_Obot__class_Obot(tc_fun(_u14502, tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-6333, plain, ( hBOOL(hAPP(_u14499, _u14501)) | ( hAPP(c_Set_OCollect(_u14503), hAPP(hAPP(c_COMBS(_u14503, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14503), c_fconj), hAPP(c_fequal, _u14501))), _u14499)) = c_Orderings_Obot__class_Obot(tc_fun(_u14503, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6334, plain, ( ( hAPP(c_Set_OCollect(_u14504), hAPP(hAPP(c_COMBC(_u14504, _u14504, tc_HOL_Obool), c_fequal), _u14505)) = hAPP(hAPP(c_Set_Oinsert(_u14504), _u14505), c_Orderings_Obot__class_Obot(tc_fun(_u14504, tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-6335, plain, ( ( hAPP(c_Set_OCollect(_u14506), hAPP(c_fequal, _u14507)) = hAPP(hAPP(c_Set_Oinsert(_u14506), _u14507), c_Orderings_Obot__class_Obot(tc_fun(_u14506, tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-6336, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u14508), _u14509), _u14510) = hAPP(c_Set_OCollect(_u14508), hAPP(hAPP(c_COMBS(_u14508, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14508), c_fdisj), hAPP(hAPP(c_COMBC(_u14508, _u14508, tc_HOL_Obool), c_fequal), _u14509))), hAPP(hAPP(c_COMBC(_u14508, tc_fun(_u14508, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14508)), _u14510)))) )).
% 27.71/27.95 cnf(matrix-6337, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u14511), _u14512), _u14513) = hAPP(c_Set_OCollect(_u14511), hAPP(hAPP(c_COMBS(_u14511, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14511), c_fdisj), hAPP(hAPP(c_COMBC(_u14511, _u14511, tc_HOL_Obool), c_fequal), _u14512))), hAPP(hAPP(c_COMBC(_u14511, tc_fun(_u14511, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14511)), _u14513)))) )).
% 27.71/27.95 cnf(matrix-6338, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14517), hAPP(c_Set_OCollect(_u14517), hAPP(hAPP(c_COMBS(_u14517, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14517), c_fdisj), _u14519)), _u14521)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14517), hAPP(c_Set_OCollect(_u14517), _u14519))) )).
% 27.71/27.95 cnf(matrix-6339, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14517), hAPP(c_Set_OCollect(_u14517), hAPP(hAPP(c_COMBS(_u14517, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14517), c_fdisj), _u14519)), _u14521)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14517), hAPP(c_Set_OCollect(_u14517), _u14521))) )).
% 27.71/27.95 cnf(matrix-6340, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14518), hAPP(c_Set_OCollect(_u14518), _u14520))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14518), hAPP(c_Set_OCollect(_u14518), _u14522))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14518), hAPP(c_Set_OCollect(_u14518), hAPP(hAPP(c_COMBS(_u14518, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14518), c_fdisj), _u14520)), _u14522)))) )).
% 27.71/27.95 cnf(matrix-6341, plain, ( ( hAPP(c_Set_OCollect(_u14523), hAPP(hAPP(c_COMBS(_u14523, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14523), c_fconj), _u14524)), _u14525)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14523, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14523), _u14524)), hAPP(c_Set_OCollect(_u14523), _u14525))) )).
% 27.71/27.95 cnf(matrix-6342, plain, ( ( hAPP(c_Set_OCollect(_u14526), _u14527) = _u14527) )).
% 27.71/27.95 cnf(matrix-6343, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u14528), _u14529), hAPP(c_Set_OCollect(_u14528), _u14530)) = hAPP(c_Set_OCollect(_u14528), hAPP(hAPP(c_COMBS(_u14528, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14528), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14528), c_fNot), hAPP(hAPP(c_COMBC(_u14528, _u14528, tc_HOL_Obool), c_fequal), _u14529)))), _u14530))) )).
% 27.71/27.95 cnf(matrix-6344, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u14531, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u14531), hAPP(c_COMBK(tc_HOL_Obool, _u14531), c_fFalse))) )).
% 27.71/27.95 cnf(matrix-6345, plain, ( ~hBOOL(hAPP(_u14538, _u14532)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u14536, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u14536), _u14538)) )).
% 27.71/27.95 cnf(matrix-6346, plain, ( hBOOL(hAPP(_u14539, skolem322(_u14539))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u14537, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u14537), _u14539)) )).
% 27.71/27.95 cnf(matrix-6347, plain, ( ~hBOOL(hAPP(_u14546, _u14540)) | ( hAPP(c_Set_OCollect(_u14544), _u14546) != c_Orderings_Obot__class_Obot(tc_fun(_u14544, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6348, plain, ( hBOOL(hAPP(_u14547, skolem323(_u14547))) | ( hAPP(c_Set_OCollect(_u14545), _u14547) = c_Orderings_Obot__class_Obot(tc_fun(_u14545, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6349, plain, ( ( hAPP(c_Set_OCollect(_u14548), hAPP(hAPP(c_COMBS(_u14548, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14548), c_fdisj), _u14549)), _u14550)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14548, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14548), _u14549)), hAPP(c_Set_OCollect(_u14548), _u14550))) )).
% 27.71/27.95 cnf(matrix-6350, plain, ( hBOOL(hAPP(_u14553, _u14552)) | ~hBOOL(hAPP(hAPP(c_member(_u14551), _u14552), hAPP(c_Set_OCollect(_u14551), _u14553))) )).
% 27.71/27.95 cnf(matrix-6351, plain, ( hBOOL(hAPP(_u14556, _u14555)) | ~hBOOL(hAPP(hAPP(c_member(_u14554), _u14555), hAPP(c_Set_OCollect(_u14554), _u14556))) )).
% 27.71/27.95 cnf(matrix-6352, plain, ( hBOOL(hAPP(_u14564, _u14562)) | ~hBOOL(hAPP(hAPP(c_member(_u14560), _u14562), hAPP(c_Set_OCollect(_u14560), _u14564))) )).
% 27.71/27.95 cnf(matrix-6353, plain, ( ~hBOOL(hAPP(_u14565, _u14563)) | hBOOL(hAPP(hAPP(c_member(_u14561), _u14563), hAPP(c_Set_OCollect(_u14561), _u14565))) )).
% 27.71/27.95 cnf(matrix-6354, plain, ( ( hAPP(c_Set_OCollect(_u14566), hAPP(hAPP(c_COMBC(_u14566, tc_fun(_u14566, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14566)), _u14567)) = _u14567) )).
% 27.71/27.95 cnf(matrix-6355, plain, ( ( hAPP(c_Set_OCollect(_u14568), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14568), c_fNot), _u14569)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14568, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14568), _u14569))) )).
% 27.71/27.95 cnf(matrix-6356, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14570, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u14570), hAPP(c_COMBK(tc_HOL_Obool, _u14570), c_fTrue))) )).
% 27.71/27.95 cnf(matrix-6357, plain, ( ( hAPP(c_Set_Ovimage(_u14571, _u14572, _u14573), hAPP(c_Set_OCollect(_u14572), _u14574)) = hAPP(c_Set_OCollect(_u14571), hAPP(hAPP(c_COMBB(_u14572, tc_HOL_Obool, _u14571), _u14574), _u14573))) )).
% 27.71/27.95 cnf(matrix-6358, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u14575, _u14576)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14575, _u14576, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14575, tc_fun(_u14576, tc_HOL_Obool), tc_fun(_u14576, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14576, tc_HOL_Obool), tc_fun(_u14576, tc_HOL_Obool)), _u14575), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14576)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14575), c_fconj), _u14577))), _u14578))) = hAPP(hAPP(c_Product__Type_OSigma(_u14575, _u14576), hAPP(c_Set_OCollect(_u14575), _u14577)), hAPP(c_COMBK(tc_fun(_u14576, tc_HOL_Obool), _u14575), hAPP(c_Set_OCollect(_u14576), _u14578)))) )).
% 27.71/27.95 cnf(matrix-6359, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u14579, _u14580)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14579, _u14580, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u14579, tc_fun(_u14580, tc_HOL_Obool), tc_fun(_u14580, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14580, tc_HOL_Obool), tc_fun(_u14580, tc_HOL_Obool)), _u14579), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14580)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14579), c_fconj), _u14581))), _u14582))) = hAPP(hAPP(c_Product__Type_OSigma(_u14579, _u14580), hAPP(c_Set_OCollect(_u14579), _u14581)), hAPP(hAPP(c_COMBB(tc_fun(_u14580, tc_HOL_Obool), tc_fun(_u14580, tc_HOL_Obool), _u14579), c_Set_OCollect(_u14580)), _u14582))) )).
% 27.71/27.95 cnf(matrix-6360, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14587), _u14589), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14587, tc_HOL_Obool)), _u14591), hAPP(c_Set_OCollect(_u14587), _u14593)))) | hBOOL(hAPP(hAPP(c_member(_u14587), _u14589), _u14591)) )).
% 27.71/27.95 cnf(matrix-6361, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14587), _u14589), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14587, tc_HOL_Obool)), _u14591), hAPP(c_Set_OCollect(_u14587), _u14593)))) | hBOOL(hAPP(_u14593, _u14589)) )).
% 27.71/27.95 cnf(matrix-6362, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14588), _u14590), _u14592)) | ~hBOOL(hAPP(_u14594, _u14590)) | hBOOL(hAPP(hAPP(c_member(_u14588), _u14590), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14588, tc_HOL_Obool)), _u14592), hAPP(c_Set_OCollect(_u14588), _u14594)))) )).
% 27.71/27.95 cnf(matrix-6363, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14595, tc_HOL_Obool)), _u14596), _u14597) = hAPP(c_Set_OCollect(_u14595), hAPP(hAPP(c_COMBS(_u14595, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14595), c_fconj), hAPP(hAPP(c_COMBC(_u14595, tc_fun(_u14595, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14595)), _u14596))), hAPP(hAPP(c_COMBC(_u14595, tc_fun(_u14595, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14595)), _u14597)))) )).
% 27.71/27.95 cnf(matrix-6364, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14598, tc_HOL_Obool)), _u14599), _u14600) = hAPP(c_Set_OCollect(_u14598), hAPP(hAPP(c_COMBS(_u14598, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14598), c_fdisj), hAPP(hAPP(c_COMBC(_u14598, tc_fun(_u14598, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14598)), _u14599))), hAPP(hAPP(c_COMBC(_u14598, tc_fun(_u14598, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14598)), _u14600)))) )).
% 27.71/27.95 cnf(matrix-6365, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14601, tc_HOL_Obool)), _u14602), _u14603) = hAPP(c_Set_OCollect(_u14601), hAPP(hAPP(c_COMBS(_u14601, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14601), c_fconj), hAPP(hAPP(c_COMBC(_u14601, tc_fun(_u14601, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14601)), _u14602))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14601), c_fNot), hAPP(hAPP(c_COMBC(_u14601, tc_fun(_u14601, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14601)), _u14603))))) )).
% 27.71/27.95 cnf(matrix-6366, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), hAPP(c_Set_OCollect(_u14604), _u14605))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), hAPP(c_Set_OCollect(_u14604), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14604), c_fNot), _u14605)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), c_Orderings_Otop__class_Otop(tc_fun(_u14604, tc_HOL_Obool)))) )).
% 27.71/27.95 cnf(matrix-6367, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), hAPP(c_Set_OCollect(_u14604), _u14605))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), c_Orderings_Otop__class_Otop(tc_fun(_u14604, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14604), hAPP(c_Set_OCollect(_u14604), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14604), c_fNot), _u14605)))) )).
% 27.71/27.95 cnf(matrix-6368, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u14606), _u14607), _u14608) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14606, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14606), hAPP(hAPP(c_COMBC(_u14606, _u14606, tc_HOL_Obool), c_fequal), _u14607))), _u14608)) )).
% 27.71/27.95 cnf(matrix-6369, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14609, tc_HOL_Obool)), _u14610) = hAPP(c_Set_OCollect(_u14609), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14609), c_fNot), hAPP(hAPP(c_COMBC(_u14609, tc_fun(_u14609, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14609)), _u14610)))) )).
% 27.71/27.95 cnf(matrix-6370, plain, ( ( hAPP(c_Set_Ovimage(_u14611, _u14612, _u14613), _u14614) = hAPP(c_Set_OCollect(_u14611), hAPP(hAPP(c_COMBC(_u14611, tc_fun(_u14612, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14612, tc_fun(tc_fun(_u14612, tc_HOL_Obool), tc_HOL_Obool), _u14611), c_member(_u14612)), _u14613)), _u14614))) )).
% 27.71/27.95 cnf(matrix-6371, plain, ( ( hAPP(c_Set_OCollect(_u14615), hAPP(hAPP(c_COMBS(_u14615, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14615), c_fimplies), _u14616)), _u14617)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14615, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14615, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14615), _u14616))), hAPP(c_Set_OCollect(_u14615), _u14617))) )).
% 27.71/27.95 cnf(matrix-6372, plain, ( ( c_Map_Odom(_u14618, _u14619, _u14620) = hAPP(c_Set_OCollect(_u14618), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14618), c_fNot), hAPP(hAPP(c_COMBC(_u14618, tc_Option_Ooption(_u14619), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14619), tc_fun(tc_Option_Ooption(_u14619), tc_HOL_Obool), _u14618), c_fequal), _u14620)), c_Option_Ooption_ONone(_u14619))))) )).
% 27.71/27.95 cnf(matrix-6373, 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), _u14621)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u14622))))) )).
% 27.71/27.95 cnf(matrix-6374, plain, ( ~class_Groups_Ocomm__monoid__add(_u14623) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14624), _u14625)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14626), _u14627)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14624, _u14623), hAPP(hAPP(c_COMBS(_u14624, tc_fun(_u14626, tc_HOL_Obool), _u14623), hAPP(hAPP(c_COMBB(tc_fun(_u14626, _u14623), tc_fun(tc_fun(_u14626, tc_HOL_Obool), _u14623), _u14624), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14626, _u14623)), _u14628)), hAPP(hAPP(c_COMBB(tc_fun(_u14626, tc_HOL_Obool), tc_fun(_u14626, tc_HOL_Obool), _u14624), c_Set_OCollect(_u14626)), hAPP(hAPP(c_COMBB(tc_fun(_u14626, tc_HOL_Obool), tc_fun(_u14626, tc_HOL_Obool), _u14624), hAPP(c_COMBS(_u14626, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14626), c_fconj), hAPP(hAPP(c_COMBC(_u14626, tc_fun(_u14626, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14626)), _u14627)))), _u14629)))), _u14625) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14626, _u14623), hAPP(hAPP(c_COMBS(_u14626, tc_fun(_u14624, tc_HOL_Obool), _u14623), hAPP(hAPP(c_COMBB(tc_fun(_u14624, _u14623), tc_fun(tc_fun(_u14624, tc_HOL_Obool), _u14623), _u14626), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14624, _u14623)), hAPP(c_COMBC(_u14624, _u14626, _u14623), _u14628))), hAPP(hAPP(c_COMBB(tc_fun(_u14624, tc_HOL_Obool), tc_fun(_u14624, tc_HOL_Obool), _u14626), c_Set_OCollect(_u14624)), hAPP(hAPP(c_COMBB(tc_fun(_u14624, tc_HOL_Obool), tc_fun(_u14624, tc_HOL_Obool), _u14626), hAPP(c_COMBS(_u14624, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14624), c_fconj), hAPP(hAPP(c_COMBC(_u14624, tc_fun(_u14624, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14624)), _u14625)))), hAPP(c_COMBC(_u14624, _u14626, tc_HOL_Obool), _u14629))))), _u14627)) )).
% 27.71/27.95 cnf(matrix-6375, plain, ( ( hAPP(c_Set_Oimage(_u14630, _u14631, hAPP(hAPP(c_COMBS(_u14630, _u14631, _u14631), hAPP(hAPP(c_COMBS(_u14630, _u14631, tc_fun(_u14631, _u14631)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u14631, tc_fun(_u14631, _u14631)), _u14630), c_If(_u14631)), _u14632)), _u14633)), _u14634)), _u14635) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14631, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14630, _u14631, _u14633), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14630, tc_HOL_Obool)), _u14635), hAPP(c_Set_OCollect(_u14630), _u14632)))), hAPP(c_Set_Oimage(_u14630, _u14631, _u14634), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14630, tc_HOL_Obool)), _u14635), hAPP(c_Set_OCollect(_u14630), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14630), c_fNot), _u14632)))))) )).
% 27.71/27.95 cnf(matrix-6376, plain, ( ( c_Map_Odom(_u14636, _u14637, hAPP(hAPP(c_COMBS(_u14636, tc_Option_Ooption(_u14637), tc_Option_Ooption(_u14637)), hAPP(hAPP(c_COMBS(_u14636, tc_Option_Ooption(_u14637), tc_fun(tc_Option_Ooption(_u14637), tc_Option_Ooption(_u14637))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u14637), tc_fun(tc_Option_Ooption(_u14637), tc_Option_Ooption(_u14637))), _u14636), c_If(tc_Option_Ooption(_u14637))), _u14638)), _u14639)), _u14640)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14636, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14636, tc_HOL_Obool)), c_Map_Odom(_u14636, _u14637, _u14639)), hAPP(c_Set_OCollect(_u14636), _u14638))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14636, tc_HOL_Obool)), c_Map_Odom(_u14636, _u14637, _u14640)), hAPP(c_Set_OCollect(_u14636), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14636), c_fNot), _u14638))))) )).
% 27.71/27.95 cnf(matrix-6377, plain, ( ( _u14641 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u14642, _u14643), 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)), _u14644)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14642), _u14641)) )).
% 27.71/27.95 cnf(matrix-6378, plain, ( ~class_Groups_Ocomm__monoid__add(_u14645) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14646), _u14647)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14646, _u14645), _u14648), hAPP(c_Set_OCollect(_u14646), hAPP(hAPP(c_COMBS(_u14646, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14646), c_fconj), hAPP(hAPP(c_COMBC(_u14646, tc_fun(_u14646, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14646)), _u14647))), hAPP(hAPP(c_COMBC(_u14646, tc_fun(_u14646, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14646)), _u14649)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14646, _u14645), hAPP(hAPP(c_COMBC(_u14646, _u14645, _u14645), hAPP(hAPP(c_COMBS(_u14646, _u14645, tc_fun(_u14645, _u14645)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u14645, tc_fun(_u14645, _u14645)), _u14646), c_If(_u14645)), hAPP(hAPP(c_COMBC(_u14646, tc_fun(_u14646, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14646)), _u14649))), _u14648)), c_Groups_Ozero__class_Ozero(_u14645))), _u14647)) )).
% 27.71/27.95 cnf(matrix-6379, plain, ( ~class_Groups_Ocomm__monoid__add(_u14650) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14651), _u14652)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14651, _u14650), _u14653), _u14652) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14654, _u14650), hAPP(hAPP(c_COMBB(tc_fun(_u14651, tc_HOL_Obool), _u14650, _u14654), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14651, _u14650), _u14653)), hAPP(hAPP(c_COMBB(tc_fun(_u14651, tc_HOL_Obool), tc_fun(_u14651, tc_HOL_Obool), _u14654), c_Set_OCollect(_u14651)), hAPP(hAPP(c_COMBB(tc_fun(_u14651, tc_HOL_Obool), tc_fun(_u14651, tc_HOL_Obool), _u14654), hAPP(c_COMBS(_u14651, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14651), c_fconj), hAPP(hAPP(c_COMBC(_u14651, tc_fun(_u14651, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14651)), _u14652)))), hAPP(c_COMBC(_u14651, _u14654, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14654, tc_fun(_u14654, tc_HOL_Obool), _u14651), c_fequal), _u14655)))))), hAPP(c_Set_Oimage(_u14651, _u14654, _u14655), _u14652))) )).
% 27.71/27.95 cnf(matrix-6380, plain, ( ( hAPP(c_Relation_OImage(_u14656, _u14657, _u14658), hAPP(hAPP(c_Set_Oinsert(_u14656), _u14659), c_Orderings_Obot__class_Obot(tc_fun(_u14656, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u14657), hAPP(hAPP(c_COMBC(_u14657, tc_fun(tc_prod(_u14656, _u14657), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14656, _u14657), tc_fun(tc_fun(tc_prod(_u14656, _u14657), tc_HOL_Obool), tc_HOL_Obool), _u14657), c_member(tc_prod(_u14656, _u14657))), hAPP(c_Product__Type_OPair(_u14656, _u14657), _u14659))), _u14658))) )).
% 27.71/27.95 cnf(matrix-6381, plain, ( ~class_Groups_Ocomm__monoid__add(_u14660) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14661), _u14662)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14661, _u14660), hAPP(hAPP(c_COMBS(_u14661, _u14660, _u14660), hAPP(hAPP(c_COMBS(_u14661, _u14660, tc_fun(_u14660, _u14660)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u14660, tc_fun(_u14660, _u14660)), _u14661), c_If(_u14660)), _u14663)), _u14664)), _u14665)), _u14662) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14660), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14661, _u14660), _u14664), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14661, tc_HOL_Obool)), _u14662), hAPP(c_Set_OCollect(_u14661), _u14663)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14661, _u14660), _u14665), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14661, tc_HOL_Obool)), _u14662), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14661, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u14661), _u14663)))))) )).
% 27.71/27.95 cnf(matrix-6382, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14666)) | ( 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)), _u14666))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u14667))))) = 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)), _u14666))), 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, _u14667)))))) )).
% 27.71/27.95 cnf(matrix-6383, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14668)) | ( 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)), _u14668))), 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, _u14669))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.95 cnf(matrix-6384, plain, ( ( c_Map_Odom(_u14670, _u14671, c_Fun_Ooverride__on(_u14670, tc_Option_Ooption(_u14671), _u14672, _u14673, _u14674)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14670, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14670, tc_HOL_Obool)), c_Map_Odom(_u14670, _u14671, _u14672)), hAPP(c_Set_OCollect(_u14670), hAPP(hAPP(c_COMBC(_u14670, tc_fun(_u14670, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14670)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14670, tc_HOL_Obool)), _u14674), c_Map_Odom(_u14670, _u14671, _u14673)))))), hAPP(c_Set_OCollect(_u14670), hAPP(hAPP(c_COMBC(_u14670, tc_fun(_u14670, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14670)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14670, tc_HOL_Obool)), _u14674), c_Map_Odom(_u14670, _u14671, _u14673)))))) )).
% 27.71/27.95 cnf(matrix-6385, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14676), _u14677)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14678), _u14679)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14676, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_HOL_Obool), tc_Nat_Onat, _u14676), c_Finite__Set_Ocard(_u14678)), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_HOL_Obool), tc_fun(_u14678, tc_HOL_Obool), _u14676), c_Set_OCollect(_u14678)), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_HOL_Obool), tc_fun(_u14678, tc_HOL_Obool), _u14676), hAPP(c_COMBS(_u14678, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14678), c_fconj), hAPP(hAPP(c_COMBC(_u14678, tc_fun(_u14678, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14678)), _u14679)))), _u14680)))), _u14677) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14681), hAPP(c_Finite__Set_Ocard(_u14678), _u14679))) | hBOOL(hAPP(hAPP(c_member(_u14678), skolem324(_u14681, _u14680, _u14679, _u14678, _u14677, _u14676)), _u14679)) )).
% 27.71/27.95 cnf(matrix-6386, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14676), _u14677)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14678), _u14679)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14676, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_HOL_Obool), tc_Nat_Onat, _u14676), c_Finite__Set_Ocard(_u14678)), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_HOL_Obool), tc_fun(_u14678, tc_HOL_Obool), _u14676), c_Set_OCollect(_u14678)), hAPP(hAPP(c_COMBB(tc_fun(_u14678, tc_HOL_Obool), tc_fun(_u14678, tc_HOL_Obool), _u14676), hAPP(c_COMBS(_u14678, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14678), c_fconj), hAPP(hAPP(c_COMBC(_u14678, tc_fun(_u14678, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14678)), _u14679)))), _u14680)))), _u14677) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14681), hAPP(c_Finite__Set_Ocard(_u14678), _u14679))) | ( hAPP(c_Finite__Set_Ocard(_u14676), hAPP(c_Set_OCollect(_u14676), hAPP(hAPP(c_COMBS(_u14676, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14676), c_fconj), hAPP(hAPP(c_COMBC(_u14676, tc_fun(_u14676, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14676)), _u14677))), hAPP(hAPP(c_COMBC(_u14676, _u14678, tc_HOL_Obool), _u14680), skolem324(_u14681, _u14680, _u14679, _u14678, _u14677, _u14676))))) != _u14681) )).
% 27.71/27.95 cnf(matrix-6387, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14682), _u14683)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u14682, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u14682, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u14682, tc_HOL_Obool), tc_fun(_u14682, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14682, tc_HOL_Obool))), _u14683)))) )).
% 27.71/27.95 cnf(matrix-6388, plain, ( ( hAPP(c_Set_OPow(_u14684), _u14685) = hAPP(c_Set_OCollect(tc_fun(_u14684, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u14684, tc_HOL_Obool), tc_fun(_u14684, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14684, tc_HOL_Obool))), _u14685))) )).
% 27.71/27.95 cnf(matrix-6389, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14686), _u14687), _u14688)) | ( hAPP(c_Fun_Ooverride__on(_u14686, _u14689, _u14690, _u14691, _u14688), _u14687) = hAPP(_u14691, _u14687)) )).
% 27.71/27.95 cnf(matrix-6390, plain, ( hBOOL(hAPP(hAPP(c_member(_u14692), _u14693), _u14694)) | ( hAPP(c_Fun_Ooverride__on(_u14692, _u14695, _u14696, _u14697, _u14694), _u14693) = hAPP(_u14696, _u14693)) )).
% 27.71/27.95 cnf(matrix-6391, plain, ( ( c_Fun_Ooverride__on(_u14698, _u14699, _u14700, _u14701, c_Orderings_Obot__class_Obot(tc_fun(_u14698, tc_HOL_Obool))) = _u14700) )).
% 27.71/27.95 cnf(matrix-6392, plain, ( c_Fun_Oinj__on(tc_fun(_u14702, _u14703), tc_fun(tc_prod(_u14702, _u14703), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14702, _u14703), tc_HOL_Obool), tc_fun(tc_prod(_u14702, _u14703), tc_HOL_Obool), tc_fun(_u14702, _u14703)), c_Set_OCollect(tc_prod(_u14702, _u14703))), hAPP(hAPP(c_COMBB(tc_fun(_u14702, tc_fun(_u14703, tc_HOL_Obool)), tc_fun(tc_prod(_u14702, _u14703), tc_HOL_Obool), tc_fun(_u14702, _u14703)), c_Product__Type_Oprod_Oprod__case(_u14702, _u14703, tc_HOL_Obool)), hAPP(c_COMBB(_u14703, tc_fun(_u14703, tc_HOL_Obool), _u14702), hAPP(c_COMBC(_u14703, _u14703, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u14702, _u14703), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6393, 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)))), _u14704))) )).
% 27.71/27.95 cnf(matrix-6394, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14711), _u14713), _u14715)) | ( hAPP(c_Fun_Ooverride__on(_u14711, _u14717, _u14719, _u14721, _u14715), _u14713) = hAPP(_u14721, _u14713)) )).
% 27.71/27.95 cnf(matrix-6395, plain, ( hBOOL(hAPP(hAPP(c_member(_u14712), _u14714), _u14716)) | ( hAPP(c_Fun_Ooverride__on(_u14712, _u14718, _u14720, _u14722, _u14716), _u14714) = hAPP(_u14720, _u14714)) )).
% 27.71/27.95 cnf(matrix-6396, plain, ( ( c_Wellfounded_Ofinite__psubset(_u14723) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u14723, tc_HOL_Obool), tc_fun(_u14723, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u14723, tc_HOL_Obool), tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u14723, tc_HOL_Obool), tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u14723, tc_HOL_Obool)), c_COMBS(tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14723, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u14723, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u14723, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u14723, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u14723))))) )).
% 27.71/27.95 cnf(matrix-6397, plain, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u14724, _u14725), _u14726), _u14727) = hAPP(c_Set_OCollect(tc_prod(_u14725, _u14725)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14725, _u14725, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14725, tc_fun(tc_prod(_u14724, _u14724), tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_fun(tc_fun(tc_prod(_u14724, _u14724), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14724, _u14724), tc_HOL_Obool), tc_fun(_u14725, tc_HOL_Obool)), _u14725), c_COMBC(_u14725, tc_fun(tc_prod(_u14724, _u14724), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14725, tc_prod(_u14724, _u14724)), tc_fun(_u14725, tc_fun(tc_fun(tc_prod(_u14724, _u14724), tc_HOL_Obool), tc_HOL_Obool)), _u14725), hAPP(c_COMBB(tc_prod(_u14724, _u14724), tc_fun(tc_fun(tc_prod(_u14724, _u14724), tc_HOL_Obool), tc_HOL_Obool), _u14725), c_member(tc_prod(_u14724, _u14724)))), hAPP(hAPP(c_COMBC(_u14725, tc_fun(_u14725, _u14724), tc_fun(_u14725, tc_prod(_u14724, _u14724))), hAPP(hAPP(c_COMBB(tc_fun(_u14724, tc_prod(_u14724, _u14724)), tc_fun(tc_fun(_u14725, _u14724), tc_fun(_u14725, tc_prod(_u14724, _u14724))), _u14725), c_COMBB(_u14724, tc_prod(_u14724, _u14724), _u14725)), hAPP(hAPP(c_COMBB(_u14724, tc_fun(_u14724, tc_prod(_u14724, _u14724)), _u14725), c_Product__Type_OPair(_u14724, _u14724)), _u14727))), _u14727)))), _u14726)))) )).
% 27.71/27.95 cnf(matrix-6398, 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)))), _u14728)) = 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), _u14728), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 27.71/27.95 cnf(matrix-6399, plain, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u14729) = 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), _u14729), c_Int_Onat))))) )).
% 27.71/27.95 cnf(matrix-6400, plain, ( ( c_Nitpick_Oprod(_u14730, _u14731, _u14732, _u14733) = hAPP(c_Set_OCollect(tc_prod(_u14730, _u14731)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14730, _u14731, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14730, tc_fun(_u14731, tc_HOL_Obool), tc_fun(_u14731, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14731, tc_HOL_Obool), tc_fun(_u14731, tc_HOL_Obool)), _u14730), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14731)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14730), c_fconj), hAPP(hAPP(c_COMBC(_u14730, tc_fun(_u14730, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14730)), _u14732)))), hAPP(hAPP(c_COMBC(_u14731, tc_fun(_u14731, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14731)), _u14733))))) )).
% 27.71/27.95 cnf(matrix-6401, plain, ( ( c_Int_Oint__ge__less__than(_u14734) = 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), _u14734)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 27.71/27.95 cnf(matrix-6402, plain, ( ( c_Int_Oint__ge__less__than2(_u14735) = 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), _u14735)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 27.71/27.95 cnf(matrix-6403, plain, ( ~c_Predicate_Oreflp(_u14738, _u14740) | c_Relation_Orefl__on(_u14738, c_Orderings_Otop__class_Otop(tc_fun(_u14738, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14738, _u14738)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14738, _u14738, tc_HOL_Obool), _u14740))) )).
% 27.71/27.95 cnf(matrix-6404, plain, ( ~c_Relation_Orefl__on(_u14739, c_Orderings_Otop__class_Otop(tc_fun(_u14739, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14739, _u14739)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14739, _u14739, tc_HOL_Obool), _u14741))) | c_Predicate_Oreflp(_u14739, _u14741) )).
% 27.71/27.95 cnf(matrix-6405, plain, ( hBOOL(hAPP(hAPP(_u14743, _u14744), _u14744)) | ~c_Predicate_Oreflp(_u14742, _u14743) )).
% 27.71/27.95 cnf(matrix-6406, plain, ( ~class_Orderings_Olinorder(_u14745) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14745), _u14746)) | ( _u14746 = c_Orderings_Obot__class_Obot(tc_fun(_u14745, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14745), _u14747)) | ( _u14747 = c_Orderings_Obot__class_Obot(tc_fun(_u14745, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14745), c_Big__Operators_Olattice_OSup__fin(_u14745, c_Orderings_Oord__class_Omax(_u14745), _u14746)), c_Big__Operators_Olattice_OSup__fin(_u14745, c_Orderings_Oord__class_Omax(_u14745), _u14747)) = c_Big__Operators_Olattice_OSup__fin(_u14745, c_Orderings_Oord__class_Omax(_u14745), hAPP(c_Set_OCollect(_u14745), hAPP(hAPP(c_COMBB(tc_fun(_u14745, tc_HOL_Obool), tc_HOL_Obool, _u14745), c_HOL_OEx(_u14745)), hAPP(hAPP(c_COMBB(tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14745, tc_HOL_Obool), _u14745), hAPP(c_COMBB(tc_fun(_u14745, tc_HOL_Obool), tc_HOL_Obool, _u14745), c_HOL_OEx(_u14745))), hAPP(hAPP(c_COMBC(_u14745, tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14745, tc_fun(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool))), tc_fun(tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool))), _u14745), c_COMBS(_u14745, tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14745, tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14745, tc_fun(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_HOL_Obool))), _u14745), 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)), _u14745), c_COMBS(_u14745, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool)), tc_fun(_u14745, tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14745), hAPP(c_COMBB(tc_fun(_u14745, tc_HOL_Obool), tc_fun(_u14745, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14745), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14745), c_fconj))), hAPP(hAPP(c_COMBC(_u14745, tc_fun(_u14745, tc_fun(_u14745, _u14745)), tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14745, _u14745), tc_fun(_u14745, tc_HOL_Obool)), tc_fun(tc_fun(_u14745, tc_fun(_u14745, _u14745)), tc_fun(_u14745, tc_fun(_u14745, tc_HOL_Obool))), _u14745), c_COMBB(tc_fun(_u14745, _u14745), tc_fun(_u14745, tc_HOL_Obool), _u14745)), hAPP(hAPP(c_COMBB(tc_fun(_u14745, tc_HOL_Obool), tc_fun(tc_fun(_u14745, _u14745), tc_fun(_u14745, tc_HOL_Obool)), _u14745), c_COMBB(_u14745, tc_HOL_Obool, _u14745)), c_fequal))), c_Orderings_Oord__class_Omin(_u14745)))))), hAPP(hAPP(c_COMBC(_u14745, 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)), _u14745), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14745)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14745), c_fconj), hAPP(hAPP(c_COMBC(_u14745, tc_fun(_u14745, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14745)), _u14746)))), hAPP(hAPP(c_COMBC(_u14745, tc_fun(_u14745, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14745)), _u14747)))))))) )).
% 27.71/27.95 cnf(matrix-6407, plain, ( ~class_Orderings_Olinorder(_u14748) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14748), _u14749)) | ( _u14749 = c_Orderings_Obot__class_Obot(tc_fun(_u14748, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14748), _u14750)) | ( _u14750 = c_Orderings_Obot__class_Obot(tc_fun(_u14748, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14748), c_Big__Operators_Olattice_OInf__fin(_u14748, c_Orderings_Oord__class_Omin(_u14748), _u14749)), c_Big__Operators_Olattice_OInf__fin(_u14748, c_Orderings_Oord__class_Omin(_u14748), _u14750)) = c_Big__Operators_Olattice_OInf__fin(_u14748, c_Orderings_Oord__class_Omin(_u14748), hAPP(c_Set_OCollect(_u14748), hAPP(hAPP(c_COMBB(tc_fun(_u14748, tc_HOL_Obool), tc_HOL_Obool, _u14748), c_HOL_OEx(_u14748)), hAPP(hAPP(c_COMBB(tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool)), tc_fun(_u14748, tc_HOL_Obool), _u14748), hAPP(c_COMBB(tc_fun(_u14748, tc_HOL_Obool), tc_HOL_Obool, _u14748), c_HOL_OEx(_u14748))), hAPP(hAPP(c_COMBC(_u14748, tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool)), tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14748, tc_fun(tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_HOL_Obool))), tc_fun(tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool)), tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool))), _u14748), c_COMBS(_u14748, tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14748, tc_fun(_u14748, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14748, tc_fun(tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_HOL_Obool))), _u14748), hAPP(c_COMBB(tc_fun(_u14748, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_HOL_Obool)), _u14748), c_COMBS(_u14748, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool)), tc_fun(_u14748, tc_fun(_u14748, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14748), hAPP(c_COMBB(tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14748), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14748), c_fconj))), hAPP(hAPP(c_COMBC(_u14748, tc_fun(_u14748, tc_fun(_u14748, _u14748)), tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14748, _u14748), tc_fun(_u14748, tc_HOL_Obool)), tc_fun(tc_fun(_u14748, tc_fun(_u14748, _u14748)), tc_fun(_u14748, tc_fun(_u14748, tc_HOL_Obool))), _u14748), c_COMBB(tc_fun(_u14748, _u14748), tc_fun(_u14748, tc_HOL_Obool), _u14748)), hAPP(hAPP(c_COMBB(tc_fun(_u14748, tc_HOL_Obool), tc_fun(tc_fun(_u14748, _u14748), tc_fun(_u14748, tc_HOL_Obool)), _u14748), c_COMBB(_u14748, tc_HOL_Obool, _u14748)), c_fequal))), c_Orderings_Oord__class_Omax(_u14748)))))), hAPP(hAPP(c_COMBC(_u14748, tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14748, tc_HOL_Obool), tc_fun(_u14748, tc_HOL_Obool)), _u14748), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14748)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14748), c_fconj), hAPP(hAPP(c_COMBC(_u14748, tc_fun(_u14748, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14748)), _u14749)))), hAPP(hAPP(c_COMBC(_u14748, tc_fun(_u14748, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14748)), _u14750)))))))) )).
% 27.71/27.95 cnf(matrix-6408, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14753), hAPP(c_Set_OCollect(_u14753), _u14754))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14755), hAPP(c_Set_OCollect(_u14755), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_HOL_Obool, _u14755), c_HOL_OEx(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14755), 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), _u14754))), _u14756))))) | ~hBOOL(hAPP(_u14754, _u14751)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14755), hAPP(c_Set_OCollect(_u14755), hAPP(hAPP(c_COMBC(_u14755, _u14753, tc_HOL_Obool), _u14756), _u14751)))) )).
% 27.71/27.95 cnf(matrix-6409, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14753), hAPP(c_Set_OCollect(_u14753), _u14754))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14755), hAPP(c_Set_OCollect(_u14755), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_HOL_Obool, _u14755), c_HOL_OEx(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14755), 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), _u14754))), _u14756))))) | hBOOL(hAPP(_u14754, skolem325(_u14756, _u14755, _u14754, _u14753))) )).
% 27.71/27.95 cnf(matrix-6410, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14753), hAPP(c_Set_OCollect(_u14753), _u14754))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14755), hAPP(c_Set_OCollect(_u14755), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_HOL_Obool, _u14755), c_HOL_OEx(_u14753)), hAPP(hAPP(c_COMBB(tc_fun(_u14753, tc_HOL_Obool), tc_fun(_u14753, tc_HOL_Obool), _u14755), 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), _u14754))), _u14756))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14755), hAPP(c_Set_OCollect(_u14755), hAPP(hAPP(c_COMBC(_u14755, _u14753, tc_HOL_Obool), _u14756), skolem325(_u14756, _u14755, _u14754, _u14753))))) )).
% 27.71/27.95 cnf(matrix-6411, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14757), hAPP(c_Set_OCollect(_u14757), _u14758))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14759), hAPP(c_Set_OCollect(_u14759), hAPP(hAPP(c_COMBB(tc_fun(_u14757, tc_HOL_Obool), tc_HOL_Obool, _u14759), c_HOL_OEx(_u14757)), hAPP(hAPP(c_COMBC(_u14759, tc_fun(_u14757, tc_HOL_Obool), tc_fun(_u14757, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14757, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14757, tc_HOL_Obool), tc_fun(_u14757, tc_HOL_Obool)), _u14759), c_COMBS(_u14757, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14757, tc_HOL_Obool), tc_fun(_u14757, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14759), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14757), c_fconj)), hAPP(hAPP(c_COMBC(_u14759, tc_fun(_u14757, _u14759), tc_fun(_u14757, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14759, tc_HOL_Obool), tc_fun(tc_fun(_u14757, _u14759), tc_fun(_u14757, tc_HOL_Obool)), _u14759), c_COMBB(_u14759, tc_HOL_Obool, _u14757)), c_fequal)), _u14760)))), _u14758))))) )).
% 27.71/27.95 cnf(matrix-6412, plain, ( ( c_Map_Oran(_u14761, _u14762, _u14763) = hAPP(c_Set_OCollect(_u14762), hAPP(hAPP(c_COMBB(tc_fun(_u14761, tc_HOL_Obool), tc_HOL_Obool, _u14762), c_HOL_OEx(_u14761)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14762), tc_fun(_u14761, tc_HOL_Obool), _u14762), hAPP(c_COMBC(_u14761, tc_Option_Ooption(_u14762), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14762), tc_fun(tc_Option_Ooption(_u14762), tc_HOL_Obool), _u14761), c_fequal), _u14763))), c_Option_Ooption_OSome(_u14762))))) )).
% 27.71/27.95 cnf(matrix-6413, plain, ( ( hAPP(c_Set_OPow(_u14764), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14764, tc_HOL_Obool)), _u14765)) = hAPP(c_Set_OCollect(tc_fun(_u14764, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u14764, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u14764, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u14764, tc_HOL_Obool), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u14764, tc_HOL_Obool)), c_COMBS(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u14764, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u14764, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u14764, tc_HOL_Obool), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_fun(_u14764, tc_HOL_Obool)), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_fun(_u14764, tc_HOL_Obool)), tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u14764, tc_HOL_Obool)), c_COMBB(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u14764, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u14764, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14764, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u14764, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u14764, tc_HOL_Obool)), _u14765)), c_Set_OPow(_u14764)))))) )).
% 27.71/27.95 cnf(matrix-6414, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u14766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14766), _u14767)) | ( _u14767 = c_Orderings_Obot__class_Obot(tc_fun(_u14766, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14766), _u14768), c_Big__Operators_Olinorder__class_OMin(_u14766, _u14767)) = c_Big__Operators_Olinorder__class_OMin(_u14766, hAPP(c_Set_OCollect(_u14766), hAPP(hAPP(c_COMBB(tc_fun(_u14766, tc_HOL_Obool), tc_HOL_Obool, _u14766), c_HOL_OEx(_u14766)), hAPP(hAPP(c_COMBC(_u14766, tc_fun(_u14766, tc_HOL_Obool), tc_fun(_u14766, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14766, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14766, tc_HOL_Obool), tc_fun(_u14766, tc_HOL_Obool)), _u14766), c_COMBS(_u14766, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14766, tc_HOL_Obool), tc_fun(_u14766, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14766), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14766), c_fconj)), hAPP(hAPP(c_COMBC(_u14766, tc_fun(_u14766, _u14766), tc_fun(_u14766, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14766, tc_HOL_Obool), tc_fun(tc_fun(_u14766, _u14766), tc_fun(_u14766, tc_HOL_Obool)), _u14766), c_COMBB(_u14766, tc_HOL_Obool, _u14766)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u14766), _u14768))))), hAPP(hAPP(c_COMBC(_u14766, tc_fun(_u14766, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14766)), _u14767)))))) )).
% 27.71/27.95 cnf(matrix-6415, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u14769) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14769), _u14770)) | ( _u14770 = c_Orderings_Obot__class_Obot(tc_fun(_u14769, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u14769), _u14771), c_Big__Operators_Olinorder__class_OMax(_u14769, _u14770)) = c_Big__Operators_Olinorder__class_OMax(_u14769, hAPP(c_Set_OCollect(_u14769), hAPP(hAPP(c_COMBB(tc_fun(_u14769, tc_HOL_Obool), tc_HOL_Obool, _u14769), c_HOL_OEx(_u14769)), hAPP(hAPP(c_COMBC(_u14769, tc_fun(_u14769, tc_HOL_Obool), tc_fun(_u14769, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14769, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14769, tc_HOL_Obool), tc_fun(_u14769, tc_HOL_Obool)), _u14769), c_COMBS(_u14769, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14769, tc_HOL_Obool), tc_fun(_u14769, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14769), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14769), c_fconj)), hAPP(hAPP(c_COMBC(_u14769, tc_fun(_u14769, _u14769), tc_fun(_u14769, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14769, tc_HOL_Obool), tc_fun(tc_fun(_u14769, _u14769), tc_fun(_u14769, tc_HOL_Obool)), _u14769), c_COMBB(_u14769, tc_HOL_Obool, _u14769)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u14769), _u14771))))), hAPP(hAPP(c_COMBC(_u14769, tc_fun(_u14769, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14769)), _u14770)))))) )).
% 27.71/27.95 cnf(matrix-6416, plain, ( ~class_Lattices_Odistrib__lattice(_u14772) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14772), _u14773)) | ( _u14773 = c_Orderings_Obot__class_Obot(tc_fun(_u14772, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14772), _u14774), c_Big__Operators_Olattice__class_OInf__fin(_u14772, _u14773)) = c_Big__Operators_Olattice__class_OInf__fin(_u14772, hAPP(c_Set_OCollect(_u14772), hAPP(hAPP(c_COMBB(tc_fun(_u14772, tc_HOL_Obool), tc_HOL_Obool, _u14772), c_HOL_OEx(_u14772)), hAPP(hAPP(c_COMBC(_u14772, tc_fun(_u14772, tc_HOL_Obool), tc_fun(_u14772, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14772, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14772, tc_HOL_Obool), tc_fun(_u14772, tc_HOL_Obool)), _u14772), c_COMBS(_u14772, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14772, tc_HOL_Obool), tc_fun(_u14772, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14772), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14772), c_fconj)), hAPP(hAPP(c_COMBC(_u14772, tc_fun(_u14772, _u14772), tc_fun(_u14772, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14772, tc_HOL_Obool), tc_fun(tc_fun(_u14772, _u14772), tc_fun(_u14772, tc_HOL_Obool)), _u14772), c_COMBB(_u14772, tc_HOL_Obool, _u14772)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14772), _u14774))))), hAPP(hAPP(c_COMBC(_u14772, tc_fun(_u14772, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14772)), _u14773)))))) )).
% 27.71/27.95 cnf(matrix-6417, plain, ( ~class_Lattices_Odistrib__lattice(_u14775) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14775), _u14776)) | ( _u14776 = c_Orderings_Obot__class_Obot(tc_fun(_u14775, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14775), _u14777)) | ( _u14777 = c_Orderings_Obot__class_Obot(tc_fun(_u14775, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14775), c_Big__Operators_Olattice__class_OInf__fin(_u14775, _u14776)), c_Big__Operators_Olattice__class_OInf__fin(_u14775, _u14777)) = c_Big__Operators_Olattice__class_OInf__fin(_u14775, hAPP(c_Set_OCollect(_u14775), hAPP(hAPP(c_COMBB(tc_fun(_u14775, tc_HOL_Obool), tc_HOL_Obool, _u14775), c_HOL_OEx(_u14775)), hAPP(hAPP(c_COMBB(tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool)), tc_fun(_u14775, tc_HOL_Obool), _u14775), hAPP(c_COMBB(tc_fun(_u14775, tc_HOL_Obool), tc_HOL_Obool, _u14775), c_HOL_OEx(_u14775))), hAPP(hAPP(c_COMBC(_u14775, tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool)), tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14775, tc_fun(tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_HOL_Obool))), tc_fun(tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool)), tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool))), _u14775), c_COMBS(_u14775, tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14775, tc_fun(_u14775, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14775, tc_fun(tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_HOL_Obool))), _u14775), hAPP(c_COMBB(tc_fun(_u14775, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_HOL_Obool)), _u14775), c_COMBS(_u14775, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool)), tc_fun(_u14775, tc_fun(_u14775, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14775), hAPP(c_COMBB(tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14775), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14775), c_fconj))), hAPP(hAPP(c_COMBC(_u14775, tc_fun(_u14775, tc_fun(_u14775, _u14775)), tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14775, _u14775), tc_fun(_u14775, tc_HOL_Obool)), tc_fun(tc_fun(_u14775, tc_fun(_u14775, _u14775)), tc_fun(_u14775, tc_fun(_u14775, tc_HOL_Obool))), _u14775), c_COMBB(tc_fun(_u14775, _u14775), tc_fun(_u14775, tc_HOL_Obool), _u14775)), hAPP(hAPP(c_COMBB(tc_fun(_u14775, tc_HOL_Obool), tc_fun(tc_fun(_u14775, _u14775), tc_fun(_u14775, tc_HOL_Obool)), _u14775), c_COMBB(_u14775, tc_HOL_Obool, _u14775)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u14775)))))), hAPP(hAPP(c_COMBC(_u14775, tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14775, tc_HOL_Obool), tc_fun(_u14775, tc_HOL_Obool)), _u14775), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14775)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14775), c_fconj), hAPP(hAPP(c_COMBC(_u14775, tc_fun(_u14775, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14775)), _u14776)))), hAPP(hAPP(c_COMBC(_u14775, tc_fun(_u14775, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14775)), _u14777)))))))) )).
% 27.71/27.95 cnf(matrix-6418, plain, ( ~class_Lattices_Odistrib__lattice(_u14778) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14778), _u14779)) | ( _u14779 = c_Orderings_Obot__class_Obot(tc_fun(_u14778, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14778), _u14780)) | ( _u14780 = c_Orderings_Obot__class_Obot(tc_fun(_u14778, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14778), c_Big__Operators_Olattice__class_OSup__fin(_u14778, _u14779)), c_Big__Operators_Olattice__class_OSup__fin(_u14778, _u14780)) = c_Big__Operators_Olattice__class_OSup__fin(_u14778, hAPP(c_Set_OCollect(_u14778), hAPP(hAPP(c_COMBB(tc_fun(_u14778, tc_HOL_Obool), tc_HOL_Obool, _u14778), c_HOL_OEx(_u14778)), hAPP(hAPP(c_COMBB(tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool)), tc_fun(_u14778, tc_HOL_Obool), _u14778), hAPP(c_COMBB(tc_fun(_u14778, tc_HOL_Obool), tc_HOL_Obool, _u14778), c_HOL_OEx(_u14778))), hAPP(hAPP(c_COMBC(_u14778, tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool)), tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14778, tc_fun(tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_HOL_Obool))), tc_fun(tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool)), tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool))), _u14778), c_COMBS(_u14778, tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14778, tc_fun(_u14778, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14778, tc_fun(tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_HOL_Obool))), _u14778), hAPP(c_COMBB(tc_fun(_u14778, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_HOL_Obool)), _u14778), c_COMBS(_u14778, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool)), tc_fun(_u14778, tc_fun(_u14778, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14778), hAPP(c_COMBB(tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14778), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14778), c_fconj))), hAPP(hAPP(c_COMBC(_u14778, tc_fun(_u14778, tc_fun(_u14778, _u14778)), tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14778, _u14778), tc_fun(_u14778, tc_HOL_Obool)), tc_fun(tc_fun(_u14778, tc_fun(_u14778, _u14778)), tc_fun(_u14778, tc_fun(_u14778, tc_HOL_Obool))), _u14778), c_COMBB(tc_fun(_u14778, _u14778), tc_fun(_u14778, tc_HOL_Obool), _u14778)), hAPP(hAPP(c_COMBB(tc_fun(_u14778, tc_HOL_Obool), tc_fun(tc_fun(_u14778, _u14778), tc_fun(_u14778, tc_HOL_Obool)), _u14778), c_COMBB(_u14778, tc_HOL_Obool, _u14778)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u14778)))))), hAPP(hAPP(c_COMBC(_u14778, tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14778, tc_HOL_Obool), tc_fun(_u14778, tc_HOL_Obool)), _u14778), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14778)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14778), c_fconj), hAPP(hAPP(c_COMBC(_u14778, tc_fun(_u14778, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14778)), _u14779)))), hAPP(hAPP(c_COMBC(_u14778, tc_fun(_u14778, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14778)), _u14780)))))))) )).
% 27.71/27.95 cnf(matrix-6419, plain, ( ~class_Lattices_Odistrib__lattice(_u14781) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14781), _u14782)) | ( _u14782 = c_Orderings_Obot__class_Obot(tc_fun(_u14781, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14781), _u14783), c_Big__Operators_Olattice__class_OSup__fin(_u14781, _u14782)) = c_Big__Operators_Olattice__class_OSup__fin(_u14781, hAPP(c_Set_OCollect(_u14781), hAPP(hAPP(c_COMBB(tc_fun(_u14781, tc_HOL_Obool), tc_HOL_Obool, _u14781), c_HOL_OEx(_u14781)), hAPP(hAPP(c_COMBC(_u14781, tc_fun(_u14781, tc_HOL_Obool), tc_fun(_u14781, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14781, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14781, tc_HOL_Obool), tc_fun(_u14781, tc_HOL_Obool)), _u14781), c_COMBS(_u14781, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14781, tc_HOL_Obool), tc_fun(_u14781, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14781), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14781), c_fconj)), hAPP(hAPP(c_COMBC(_u14781, tc_fun(_u14781, _u14781), tc_fun(_u14781, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14781, tc_HOL_Obool), tc_fun(tc_fun(_u14781, _u14781), tc_fun(_u14781, tc_HOL_Obool)), _u14781), c_COMBB(_u14781, tc_HOL_Obool, _u14781)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14781), _u14783))))), hAPP(hAPP(c_COMBC(_u14781, tc_fun(_u14781, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14781)), _u14782)))))) )).
% 27.71/27.95 cnf(matrix-6420, plain, ( ~class_Orderings_Olinorder(_u14784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14784), _u14785)) | ( _u14785 = c_Orderings_Obot__class_Obot(tc_fun(_u14784, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14784), _u14786), c_Big__Operators_Olattice_OInf__fin(_u14784, c_Orderings_Oord__class_Omin(_u14784), _u14785)) = c_Big__Operators_Olattice_OInf__fin(_u14784, c_Orderings_Oord__class_Omin(_u14784), hAPP(c_Set_OCollect(_u14784), hAPP(hAPP(c_COMBB(tc_fun(_u14784, tc_HOL_Obool), tc_HOL_Obool, _u14784), c_HOL_OEx(_u14784)), hAPP(hAPP(c_COMBC(_u14784, tc_fun(_u14784, tc_HOL_Obool), tc_fun(_u14784, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14784, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14784, tc_HOL_Obool), tc_fun(_u14784, tc_HOL_Obool)), _u14784), c_COMBS(_u14784, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14784, tc_HOL_Obool), tc_fun(_u14784, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14784), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14784), c_fconj)), hAPP(hAPP(c_COMBC(_u14784, tc_fun(_u14784, _u14784), tc_fun(_u14784, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14784, tc_HOL_Obool), tc_fun(tc_fun(_u14784, _u14784), tc_fun(_u14784, tc_HOL_Obool)), _u14784), c_COMBB(_u14784, tc_HOL_Obool, _u14784)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u14784), _u14786))))), hAPP(hAPP(c_COMBC(_u14784, tc_fun(_u14784, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14784)), _u14785)))))) )).
% 27.71/27.95 cnf(matrix-6421, plain, ( ~class_Orderings_Olinorder(_u14787) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14787), _u14788)) | ( _u14788 = c_Orderings_Obot__class_Obot(tc_fun(_u14787, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14787), _u14789), c_Big__Operators_Olattice_OSup__fin(_u14787, c_Orderings_Oord__class_Omax(_u14787), _u14788)) = c_Big__Operators_Olattice_OSup__fin(_u14787, c_Orderings_Oord__class_Omax(_u14787), hAPP(c_Set_OCollect(_u14787), hAPP(hAPP(c_COMBB(tc_fun(_u14787, tc_HOL_Obool), tc_HOL_Obool, _u14787), c_HOL_OEx(_u14787)), hAPP(hAPP(c_COMBC(_u14787, tc_fun(_u14787, tc_HOL_Obool), tc_fun(_u14787, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14787, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14787, tc_HOL_Obool), tc_fun(_u14787, tc_HOL_Obool)), _u14787), c_COMBS(_u14787, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14787, tc_HOL_Obool), tc_fun(_u14787, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14787), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14787), c_fconj)), hAPP(hAPP(c_COMBC(_u14787, tc_fun(_u14787, _u14787), tc_fun(_u14787, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14787, tc_HOL_Obool), tc_fun(tc_fun(_u14787, _u14787), tc_fun(_u14787, tc_HOL_Obool)), _u14787), c_COMBB(_u14787, tc_HOL_Obool, _u14787)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u14787), _u14789))))), hAPP(hAPP(c_COMBC(_u14787, tc_fun(_u14787, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14787)), _u14788)))))) )).
% 27.71/27.95 cnf(matrix-6422, plain, ( ~class_Rings_Osemiring__0(_u14790) | ~c_Fun_Oinj__on(tc_prod(_u14791, _u14792), _u14790, hAPP(c_Product__Type_Oprod_Oprod__case(_u14791, _u14792, _u14790), hAPP(hAPP(c_COMBC(_u14791, tc_fun(_u14792, _u14790), tc_fun(_u14792, _u14790)), hAPP(hAPP(c_COMBB(tc_fun(_u14790, _u14790), tc_fun(tc_fun(_u14792, _u14790), tc_fun(_u14792, _u14790)), _u14791), c_COMBB(_u14790, _u14790, _u14792)), hAPP(hAPP(c_COMBB(_u14790, tc_fun(_u14790, _u14790), _u14791), c_Groups_Otimes__class_Otimes(_u14790)), _u14793))), _u14794)), hAPP(hAPP(c_Product__Type_OSigma(_u14791, _u14792), _u14795), hAPP(c_COMBK(tc_fun(_u14792, tc_HOL_Obool), _u14791), _u14796))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14790), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14791, _u14790), _u14793), _u14795)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14792, _u14790), _u14794), _u14796)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14790, _u14790), c_Fun_Oid(_u14790)), hAPP(c_Set_OCollect(_u14790), hAPP(hAPP(c_COMBB(tc_fun(_u14791, tc_HOL_Obool), tc_HOL_Obool, _u14790), c_HOL_OEx(_u14791)), hAPP(hAPP(c_COMBB(tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool)), tc_fun(_u14791, tc_HOL_Obool), _u14790), hAPP(c_COMBB(tc_fun(_u14792, tc_HOL_Obool), tc_HOL_Obool, _u14791), c_HOL_OEx(_u14792))), hAPP(hAPP(c_COMBC(_u14790, tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool)), tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14791, tc_fun(tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_HOL_Obool))), tc_fun(tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool)), tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool))), _u14790), c_COMBS(_u14791, tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14791, tc_fun(_u14792, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14791, tc_fun(tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_HOL_Obool))), _u14790), hAPP(c_COMBB(tc_fun(_u14792, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_HOL_Obool)), _u14791), c_COMBS(_u14792, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool)), tc_fun(_u14791, tc_fun(_u14792, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14790), hAPP(c_COMBB(tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14791), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14792), c_fconj))), hAPP(hAPP(c_COMBC(_u14790, tc_fun(_u14791, tc_fun(_u14792, _u14790)), tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14792, _u14790), tc_fun(_u14792, tc_HOL_Obool)), tc_fun(tc_fun(_u14791, tc_fun(_u14792, _u14790)), tc_fun(_u14791, tc_fun(_u14792, tc_HOL_Obool))), _u14790), c_COMBB(tc_fun(_u14792, _u14790), tc_fun(_u14792, tc_HOL_Obool), _u14791)), hAPP(hAPP(c_COMBB(tc_fun(_u14790, tc_HOL_Obool), tc_fun(tc_fun(_u14792, _u14790), tc_fun(_u14792, tc_HOL_Obool)), _u14790), c_COMBB(_u14790, tc_HOL_Obool, _u14792)), c_fequal))), hAPP(hAPP(c_COMBC(_u14791, tc_fun(_u14792, _u14790), tc_fun(_u14792, _u14790)), hAPP(hAPP(c_COMBB(tc_fun(_u14790, _u14790), tc_fun(tc_fun(_u14792, _u14790), tc_fun(_u14792, _u14790)), _u14791), c_COMBB(_u14790, _u14790, _u14792)), hAPP(hAPP(c_COMBB(_u14790, tc_fun(_u14790, _u14790), _u14791), c_Groups_Otimes__class_Otimes(_u14790)), _u14793))), _u14794)))))), hAPP(hAPP(c_COMBC(_u14791, tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14792, tc_HOL_Obool), tc_fun(_u14792, tc_HOL_Obool)), _u14791), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14792)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14791), c_fconj), hAPP(hAPP(c_COMBC(_u14791, tc_fun(_u14791, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14791)), _u14795)))), hAPP(hAPP(c_COMBC(_u14792, tc_fun(_u14792, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14792)), _u14796)))))))) )).
% 27.71/27.95 cnf(matrix-6423, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14798), _u14799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14800), _u14801)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14798, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14800, tc_HOL_Obool), tc_Nat_Onat, _u14798), c_Finite__Set_Ocard(_u14800)), hAPP(hAPP(c_COMBB(tc_fun(_u14800, tc_HOL_Obool), tc_fun(_u14800, tc_HOL_Obool), _u14798), c_Set_OCollect(_u14800)), hAPP(hAPP(c_COMBB(tc_fun(_u14800, tc_HOL_Obool), tc_fun(_u14800, tc_HOL_Obool), _u14798), hAPP(c_COMBS(_u14800, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14800), c_fconj), hAPP(hAPP(c_COMBC(_u14800, tc_fun(_u14800, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14800)), _u14801)))), _u14802)))), _u14799) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14800, tc_Nat_Onat), _u14803), _u14801)) | hBOOL(hAPP(hAPP(c_member(_u14800), skolem326(_u14803, _u14802, _u14801, _u14800, _u14799, _u14798)), _u14801)) )).
% 27.71/27.95 cnf(matrix-6424, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14798), _u14799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14800), _u14801)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14798, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14800, tc_HOL_Obool), tc_Nat_Onat, _u14798), c_Finite__Set_Ocard(_u14800)), hAPP(hAPP(c_COMBB(tc_fun(_u14800, tc_HOL_Obool), tc_fun(_u14800, tc_HOL_Obool), _u14798), c_Set_OCollect(_u14800)), hAPP(hAPP(c_COMBB(tc_fun(_u14800, tc_HOL_Obool), tc_fun(_u14800, tc_HOL_Obool), _u14798), hAPP(c_COMBS(_u14800, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14800), c_fconj), hAPP(hAPP(c_COMBC(_u14800, tc_fun(_u14800, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14800)), _u14801)))), _u14802)))), _u14799) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14800, tc_Nat_Onat), _u14803), _u14801)) | ( hAPP(c_Finite__Set_Ocard(_u14798), hAPP(c_Set_OCollect(_u14798), hAPP(hAPP(c_COMBS(_u14798, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14798), c_fconj), hAPP(hAPP(c_COMBC(_u14798, tc_fun(_u14798, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14798)), _u14799))), hAPP(hAPP(c_COMBC(_u14798, _u14800, tc_HOL_Obool), _u14802), skolem326(_u14803, _u14802, _u14801, _u14800, _u14799, _u14798))))) != hAPP(_u14803, skolem326(_u14803, _u14802, _u14801, _u14800, _u14799, _u14798))) )).
% 27.71/27.95 cnf(matrix-6425, plain, ( c_Fun_Oinj__on(_u14804, _u14804, c_Fun_Oid(_u14804), _u14805) )).
% 27.71/27.95 cnf(matrix-6426, plain, ( ( hAPP(c_Fun_Ocomp(_u14806, _u14807, _u14806, _u14808), c_Fun_Oid(_u14806)) = _u14808) )).
% 27.71/27.95 cnf(matrix-6427, plain, ( ( hAPP(c_Fun_Ocomp(_u14809, _u14809, _u14810, c_Fun_Oid(_u14809)), _u14811) = _u14811) )).
% 27.71/27.95 cnf(matrix-6428, plain, ( ( hAPP(_u14815, hAPP(_u14816, _u14818)) = hAPP(_u14817, _u14818)) | ( hAPP(c_Fun_Ocomp(_u14812, _u14813, _u14814, _u14815), _u14816) != hAPP(c_Fun_Ocomp(_u14813, _u14813, _u14814, c_Fun_Oid(_u14813)), _u14817)) )).
% 27.71/27.95 cnf(matrix-6429, plain, ( ( hAPP(c_Set_Ovimage(_u14819, _u14819, c_Fun_Oid(_u14819)), _u14820) = _u14820) )).
% 27.71/27.95 cnf(matrix-6430, plain, ( ( hAPP(c_Fun_Oid(_u14821), _u14822) = _u14822) )).
% 27.71/27.95 cnf(matrix-6431, plain, ( ( hAPP(c_Fun_Oid(_u14823), _u14824) = _u14824) )).
% 27.71/27.95 cnf(matrix-6432, plain, ( ( c_Product__Type_Oapfst(_u14825, _u14825, _u14826, c_Fun_Oid(_u14825)) = c_Fun_Oid(tc_prod(_u14825, _u14826))) )).
% 27.71/27.95 cnf(matrix-6433, plain, ( ( c_Product__Type_Oapsnd(_u14827, _u14827, _u14828, c_Fun_Oid(_u14827)) = c_Fun_Oid(tc_prod(_u14828, _u14827))) )).
% 27.71/27.95 cnf(matrix-6434, plain, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 27.71/27.95 cnf(matrix-6435, plain, ( ( c_Product__Type_Omap__pair(_u14829, _u14829, _u14830, _u14830, c_COMBI(_u14829), c_COMBI(_u14830)) = c_Fun_Oid(tc_prod(_u14829, _u14830))) )).
% 27.71/27.95 cnf(matrix-6436, plain, ( ( c_Product__Type_Omap__pair(_u14831, _u14831, _u14832, _u14832, c_Fun_Oid(_u14831), c_Fun_Oid(_u14832)) = c_Fun_Oid(tc_prod(_u14831, _u14832))) )).
% 27.71/27.95 cnf(matrix-6437, plain, ( ( hAPP(c_Set_Oimage(_u14833, _u14833, c_Fun_Oid(_u14833)), _u14834) = _u14834) )).
% 27.71/27.95 cnf(matrix-6438, plain, ( ( hAPP(c_Set_Oimage(_u14835, _u14835, c_Fun_Oid(_u14835)), c_Orderings_Otop__class_Otop(tc_fun(_u14835, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u14835, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6439, plain, ( ~c_Finite__Set_Ofolding(_u14836, _u14837, _u14838, _u14839) | ( hAPP(_u14839, c_Orderings_Obot__class_Obot(tc_fun(_u14836, tc_HOL_Obool))) = c_Fun_Oid(_u14837)) )).
% 27.71/27.95 cnf(matrix-6440, plain, ( ( c_Product__Type_Oapfst(_u14840, _u14841, _u14842, _u14843) = c_Product__Type_Omap__pair(_u14840, _u14841, _u14842, _u14842, _u14843, c_Fun_Oid(_u14842))) )).
% 27.71/27.95 cnf(matrix-6441, plain, ( ( c_Product__Type_Oapsnd(_u14844, _u14845, _u14846, _u14847) = c_Product__Type_Omap__pair(_u14846, _u14846, _u14844, _u14845, c_Fun_Oid(_u14846), _u14847)) )).
% 27.71/27.95 cnf(matrix-6442, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u14848, _u14849, tc_prod(_u14848, _u14849)), c_Product__Type_OPair(_u14848, _u14849)) = c_Fun_Oid(tc_prod(_u14848, _u14849))) )).
% 27.71/27.95 cnf(matrix-6443, plain, ( ~class_Groups_Ocomm__monoid__add(_u14850) | ~c_Fun_Oinj__on(_u14851, _u14850, _u14852, _u14853) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14851, _u14850), _u14852), _u14853) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14850, _u14850), c_Fun_Oid(_u14850)), hAPP(c_Set_Oimage(_u14851, _u14850, _u14852), _u14853))) )).
% 27.71/27.95 cnf(matrix-6444, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14854) | ~c_Fun_Oinj__on(_u14855, _u14854, _u14856, _u14857) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14855, _u14854), _u14856), _u14857) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14854, _u14854), c_Fun_Oid(_u14854)), hAPP(c_Set_Oimage(_u14855, _u14854, _u14856), _u14857))) )).
% 27.71/27.95 cnf(matrix-6445, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14864), _u14866)) | ( _u14866 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u14864, skolem328(_u14866, _u14864)), 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)), skolem327(_u14866, _u14864))))) )).
% 27.71/27.95 cnf(matrix-6446, plain, ( ( _u14867 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u14865, _u14860), 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)), _u14861)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14865), _u14867)) )).
% 27.71/27.95 cnf(matrix-6447, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14868, _u14869, _u14870), _u14871), _u14872) = hAPP(c_Set_OCollect(tc_prod(_u14868, _u14870)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14868, _u14870, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14870, tc_fun(_u14869, tc_HOL_Obool)), tc_fun(_u14870, tc_HOL_Obool), _u14868), hAPP(c_COMBB(tc_fun(_u14869, tc_HOL_Obool), tc_HOL_Obool, _u14870), c_HOL_OEx(_u14869))), hAPP(hAPP(c_COMBC(_u14868, tc_fun(_u14870, tc_fun(_u14869, tc_HOL_Obool)), tc_fun(_u14870, tc_fun(_u14869, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14869, tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool)), tc_fun(tc_fun(_u14870, tc_fun(_u14869, tc_HOL_Obool)), tc_fun(_u14870, tc_fun(_u14869, tc_HOL_Obool))), _u14868), c_COMBB(tc_fun(_u14869, tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool), _u14870)), hAPP(hAPP(c_COMBB(tc_fun(_u14869, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14869, tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool)), _u14868), c_COMBS(_u14869, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14869, tc_HOL_Obool), tc_fun(_u14869, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14868), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14869), c_fconj)), hAPP(hAPP(c_COMBC(_u14868, tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14869, tc_fun(tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool)), _u14868), c_COMBC(_u14869, tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14869, tc_prod(_u14868, _u14869)), tc_fun(_u14869, tc_fun(tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool), tc_HOL_Obool)), _u14868), hAPP(c_COMBB(tc_prod(_u14868, _u14869), tc_fun(tc_fun(tc_prod(_u14868, _u14869), tc_HOL_Obool), tc_HOL_Obool), _u14869), c_member(tc_prod(_u14868, _u14869)))), c_Product__Type_OPair(_u14868, _u14869)))), _u14871))))), hAPP(hAPP(c_COMBC(_u14870, tc_fun(tc_prod(_u14869, _u14870), tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14869, tc_fun(tc_fun(tc_prod(_u14869, _u14870), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14869, _u14870), tc_HOL_Obool), tc_fun(_u14869, tc_HOL_Obool)), _u14870), c_COMBC(_u14869, tc_fun(tc_prod(_u14869, _u14870), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14869, tc_prod(_u14869, _u14870)), tc_fun(_u14869, tc_fun(tc_fun(tc_prod(_u14869, _u14870), tc_HOL_Obool), tc_HOL_Obool)), _u14870), hAPP(c_COMBB(tc_prod(_u14869, _u14870), tc_fun(tc_fun(tc_prod(_u14869, _u14870), tc_HOL_Obool), tc_HOL_Obool), _u14869), c_member(tc_prod(_u14869, _u14870)))), hAPP(c_COMBC(_u14869, _u14870, tc_prod(_u14869, _u14870)), c_Product__Type_OPair(_u14869, _u14870))))), _u14872)))))) )).
% 27.71/27.95 cnf(matrix-6448, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14873, _u14874)), hAPP(hAPP(c_Product__Type_OPair(_u14873, _u14874), _u14875), _u14876)), _u14877)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14874, _u14878)), hAPP(hAPP(c_Product__Type_OPair(_u14874, _u14878), _u14876), _u14879)), _u14880)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14873, _u14878)), hAPP(hAPP(c_Product__Type_OPair(_u14873, _u14878), _u14875), _u14879)), hAPP(hAPP(c_Relation_Orel__comp(_u14873, _u14874, _u14878), _u14877), _u14880))) )).
% 27.71/27.95 cnf(matrix-6449, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14881, _u14882, _u14883), hAPP(hAPP(c_Relation_Orel__comp(_u14881, _u14884, _u14882), _u14885), _u14886)), _u14887) = hAPP(hAPP(c_Relation_Orel__comp(_u14881, _u14884, _u14883), _u14885), hAPP(hAPP(c_Relation_Orel__comp(_u14884, _u14882, _u14883), _u14886), _u14887))) )).
% 27.71/27.95 cnf(matrix-6450, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14888, _u14889), tc_HOL_Obool)), _u14890), _u14891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14889, _u14892), tc_HOL_Obool)), _u14893), _u14894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14888, _u14892), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14888, _u14889, _u14892), _u14890), _u14893)), hAPP(hAPP(c_Relation_Orel__comp(_u14888, _u14889, _u14892), _u14891), _u14894))) )).
% 27.71/27.95 cnf(matrix-6451, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14895, _u14896, _u14897), _u14898), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14896, _u14897), tc_HOL_Obool)), _u14899), _u14900)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14895, _u14897), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14895, _u14896, _u14897), _u14898), _u14899)), hAPP(hAPP(c_Relation_Orel__comp(_u14895, _u14896, _u14897), _u14898), _u14900))) )).
% 27.71/27.95 cnf(matrix-6452, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14901, _u14902, _u14903), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14901, _u14902), tc_HOL_Obool)), _u14904), _u14905)), _u14906) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14901, _u14903), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14901, _u14902, _u14903), _u14904), _u14906)), hAPP(hAPP(c_Relation_Orel__comp(_u14901, _u14902, _u14903), _u14905), _u14906))) )).
% 27.71/27.95 cnf(matrix-6453, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14907, _u14908, _u14909), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14907, _u14908), tc_HOL_Obool))), _u14910) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14907, _u14909), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6454, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14911, _u14912, _u14913), _u14914), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14912, _u14913), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14911, _u14913), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6455, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14915, _u14916, _u14917), _u14918), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14919, tc_fun(tc_prod(_u14916, _u14917), tc_HOL_Obool)), _u14920), _u14921)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14919, tc_fun(tc_prod(_u14915, _u14917), tc_HOL_Obool)), _u14920), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14916, _u14917), tc_HOL_Obool), tc_fun(tc_prod(_u14915, _u14917), tc_HOL_Obool), _u14919), hAPP(c_Relation_Orel__comp(_u14915, _u14916, _u14917), _u14918)), _u14921))) )).
% 27.71/27.95 cnf(matrix-6456, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14922, _u14923, _u14924), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14925, tc_fun(tc_prod(_u14922, _u14923), tc_HOL_Obool)), _u14926), _u14927)), _u14928) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14925, tc_fun(tc_prod(_u14922, _u14924), tc_HOL_Obool)), _u14926), hAPP(hAPP(c_COMBC(_u14925, tc_fun(tc_prod(_u14923, _u14924), tc_HOL_Obool), tc_fun(tc_prod(_u14922, _u14924), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14922, _u14923), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u14923, _u14924), tc_HOL_Obool), tc_fun(tc_prod(_u14922, _u14924), tc_HOL_Obool)), _u14925), c_Relation_Orel__comp(_u14922, _u14923, _u14924)), _u14927)), _u14928))) )).
% 27.71/27.95 cnf(matrix-6457, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14929, _u14929, _u14929), _u14930), _u14931) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14929, _u14929), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14929, _u14929, _u14929), _u14930), _u14932) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14929, _u14929), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14929, _u14929, _u14929), _u14930), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14929, _u14929), tc_HOL_Obool)), _u14931), _u14932)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14929, _u14929), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6458, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14933, _u14933, _u14933), _u14934), _u14935) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14933, _u14933), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14933, _u14933, _u14933), _u14936), _u14935) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14933, _u14933), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14933, _u14933, _u14933), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14933, _u14933), tc_HOL_Obool)), _u14934), _u14936)), _u14935) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14933, _u14933), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6459, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14937, _u14938), tc_HOL_Obool)), _u14939), hAPP(hAPP(c_Product__Type_OSigma(_u14937, _u14938), _u14940), hAPP(c_COMBK(tc_fun(_u14938, tc_HOL_Obool), _u14937), _u14941)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14938, _u14942), tc_HOL_Obool)), _u14943), hAPP(hAPP(c_Product__Type_OSigma(_u14938, _u14942), _u14941), hAPP(c_COMBK(tc_fun(_u14942, tc_HOL_Obool), _u14938), _u14944)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14937, _u14942), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14937, _u14938, _u14942), _u14939), _u14943)), hAPP(hAPP(c_Product__Type_OSigma(_u14937, _u14942), _u14940), hAPP(c_COMBK(tc_fun(_u14942, tc_HOL_Obool), _u14937), _u14944)))) )).
% 27.71/27.95 cnf(matrix-6460, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14945, _u14945), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14945, _u14945, _u14945), _u14946), _u14947)), _u14946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u14945, _u14946)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u14945, _u14947)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14945, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u14945, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u14945, _u14946))) )).
% 27.71/27.95 cnf(matrix-6461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14948, _u14948), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14948, _u14948, _u14948), _u14949), _u14950)), _u14949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u14948, _u14949)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u14948, _u14950)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14948, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u14948, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u14948, tc_HOL_Obool), tc_fun(_u14948, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u14948, _u14949))) )).
% 27.71/27.95 cnf(matrix-6462, plain, ( ~c_Predicate_Opred__comp(_u14958, _u14960, _u14962, hAPP(hAPP(c_COMBC(_u14958, tc_fun(tc_prod(_u14958, _u14960), tc_HOL_Obool), tc_fun(_u14960, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14960, tc_fun(tc_fun(tc_prod(_u14958, _u14960), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14958, _u14960), tc_HOL_Obool), tc_fun(_u14960, tc_HOL_Obool)), _u14958), c_COMBC(_u14960, tc_fun(tc_prod(_u14958, _u14960), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14960, tc_prod(_u14958, _u14960)), tc_fun(_u14960, tc_fun(tc_fun(tc_prod(_u14958, _u14960), tc_HOL_Obool), tc_HOL_Obool)), _u14958), hAPP(c_COMBB(tc_prod(_u14958, _u14960), tc_fun(tc_fun(tc_prod(_u14958, _u14960), tc_HOL_Obool), tc_HOL_Obool), _u14960), c_member(tc_prod(_u14958, _u14960)))), c_Product__Type_OPair(_u14958, _u14960)))), _u14964), hAPP(hAPP(c_COMBC(_u14960, tc_fun(tc_prod(_u14960, _u14962), tc_HOL_Obool), tc_fun(_u14962, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14962, tc_fun(tc_fun(tc_prod(_u14960, _u14962), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14960, _u14962), tc_HOL_Obool), tc_fun(_u14962, tc_HOL_Obool)), _u14960), c_COMBC(_u14962, tc_fun(tc_prod(_u14960, _u14962), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14962, tc_prod(_u14960, _u14962)), tc_fun(_u14962, tc_fun(tc_fun(tc_prod(_u14960, _u14962), tc_HOL_Obool), tc_HOL_Obool)), _u14960), hAPP(c_COMBB(tc_prod(_u14960, _u14962), tc_fun(tc_fun(tc_prod(_u14960, _u14962), tc_HOL_Obool), tc_HOL_Obool), _u14962), c_member(tc_prod(_u14960, _u14962)))), c_Product__Type_OPair(_u14960, _u14962)))), _u14966), _u14968, _u14970) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14958, _u14962)), hAPP(hAPP(c_Product__Type_OPair(_u14958, _u14962), _u14968), _u14970)), hAPP(hAPP(c_Relation_Orel__comp(_u14958, _u14960, _u14962), _u14964), _u14966))) )).
% 27.71/27.95 cnf(matrix-6463, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14959, _u14963)), hAPP(hAPP(c_Product__Type_OPair(_u14959, _u14963), _u14969), _u14971)), hAPP(hAPP(c_Relation_Orel__comp(_u14959, _u14961, _u14963), _u14965), _u14967))) | c_Predicate_Opred__comp(_u14959, _u14961, _u14963, hAPP(hAPP(c_COMBC(_u14959, tc_fun(tc_prod(_u14959, _u14961), tc_HOL_Obool), tc_fun(_u14961, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14961, tc_fun(tc_fun(tc_prod(_u14959, _u14961), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14959, _u14961), tc_HOL_Obool), tc_fun(_u14961, tc_HOL_Obool)), _u14959), c_COMBC(_u14961, tc_fun(tc_prod(_u14959, _u14961), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14961, tc_prod(_u14959, _u14961)), tc_fun(_u14961, tc_fun(tc_fun(tc_prod(_u14959, _u14961), tc_HOL_Obool), tc_HOL_Obool)), _u14959), hAPP(c_COMBB(tc_prod(_u14959, _u14961), tc_fun(tc_fun(tc_prod(_u14959, _u14961), tc_HOL_Obool), tc_HOL_Obool), _u14961), c_member(tc_prod(_u14959, _u14961)))), c_Product__Type_OPair(_u14959, _u14961)))), _u14965), hAPP(hAPP(c_COMBC(_u14961, tc_fun(tc_prod(_u14961, _u14963), tc_HOL_Obool), tc_fun(_u14963, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14963, tc_fun(tc_fun(tc_prod(_u14961, _u14963), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14961, _u14963), tc_HOL_Obool), tc_fun(_u14963, tc_HOL_Obool)), _u14961), c_COMBC(_u14963, tc_fun(tc_prod(_u14961, _u14963), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14963, tc_prod(_u14961, _u14963)), tc_fun(_u14963, tc_fun(tc_fun(tc_prod(_u14961, _u14963), tc_HOL_Obool), tc_HOL_Obool)), _u14961), hAPP(c_COMBB(tc_prod(_u14961, _u14963), tc_fun(tc_fun(tc_prod(_u14961, _u14963), tc_HOL_Obool), tc_HOL_Obool), _u14963), c_member(tc_prod(_u14961, _u14963)))), c_Product__Type_OPair(_u14961, _u14963)))), _u14967), _u14969, _u14971) )).
% 27.71/27.95 cnf(matrix-6464, plain, ( ~c_Wellfounded_Owf(_u14972, _u14973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14972, _u14972), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14972, _u14972, _u14972), _u14973), _u14974)), _u14973)) | c_FunDef_Oreduction__pair(_u14972, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u14972, _u14972), tc_HOL_Obool), tc_fun(tc_prod(_u14972, _u14972), tc_HOL_Obool)), _u14973), _u14974)) )).
% 27.71/27.95 cnf(matrix-6465, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 27.71/27.95 cnf(matrix-6466, plain, ( ~hBOOL(hAPP(hAPP(_u14975, _u14976), _u14977)) | ~hBOOL(hAPP(hAPP(_u14978, _u14977), _u14979)) | c_Predicate_Opred__comp(_u14980, _u14981, _u14982, _u14975, _u14978, _u14976, _u14979) )).
% 27.71/27.95 cnf(matrix-6467, plain, ( c_Wellfounded_Owf(_u14983, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14983, _u14983), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6468, plain, ( ~c_Wellfounded_Owf(_u14984, _u14985) | c_Wellfounded_Owf(_u14986, hAPP(hAPP(c_Relation_Oinv__image(_u14984, _u14986), _u14985), _u14987)) )).
% 27.71/27.95 cnf(matrix-6469, plain, ( ~c_Wellfounded_Owf(_u14988, _u14989) | ~c_Wellfounded_Owf(_u14990, _u14991) | c_Wellfounded_Owf(tc_prod(_u14988, _u14990), c_Wellfounded_Olex__prod(_u14988, _u14990, _u14989, _u14991)) )).
% 27.71/27.95 cnf(matrix-6470, plain, ( c_Wellfounded_Owf(_u14992, hAPP(c_Wellfounded_Omeasure(_u14992), _u14993)) )).
% 27.71/27.95 cnf(matrix-6471, plain, ( ~c_Wellfounded_Owf(_u14996, _u14998) | c_Wellfounded_Owf(_u14996, hAPP(hAPP(c_Relation_Orel__comp(_u14996, _u14996, _u14996), _u14998), _u14998)) )).
% 27.71/27.95 cnf(matrix-6472, plain, ( ~c_Wellfounded_Owf(_u14997, hAPP(hAPP(c_Relation_Orel__comp(_u14997, _u14997, _u14997), _u14999), _u14999)) | c_Wellfounded_Owf(_u14997, _u14999) )).
% 27.71/27.95 cnf(matrix-6473, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15000, _u15000, _u15000), _u15001), _u15001) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15000, _u15000), tc_HOL_Obool))) | c_Wellfounded_Owf(_u15000, _u15001) )).
% 27.71/27.95 cnf(matrix-6474, plain, ( ~c_Wellfounded_Owf(_u15005, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15005, _u15005), tc_HOL_Obool)), _u15007), _u15009)) | c_Wellfounded_Owf(_u15005, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15005, _u15005), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15005, _u15005), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15005, _u15005, _u15005), _u15007), _u15007)), hAPP(hAPP(c_Relation_Orel__comp(_u15005, _u15005, _u15005), _u15009), _u15007))), _u15009)) )).
% 27.71/27.95 cnf(matrix-6475, plain, ( ~c_Wellfounded_Owf(_u15006, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15006, _u15006), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15006, _u15006), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15006, _u15006, _u15006), _u15008), _u15008)), hAPP(hAPP(c_Relation_Orel__comp(_u15006, _u15006, _u15006), _u15010), _u15008))), _u15010)) | c_Wellfounded_Owf(_u15006, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15006, _u15006), tc_HOL_Obool)), _u15008), _u15010)) )).
% 27.71/27.95 cnf(matrix-6476, 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)))) )).
% 27.71/27.95 cnf(matrix-6477, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u15011)) )).
% 27.71/27.95 cnf(matrix-6478, plain, ( ~c_Wellfounded_Owf(_u15012, _u15013) | hBOOL(hAPP(hAPP(c_member(_u15012), _u15014), c_Wellfounded_Oacc(_u15012, _u15013))) )).
% 27.71/27.95 cnf(matrix-6479, plain, ( ~c_Wellfounded_Owf(_u15019, _u15021) | hBOOL(hAPP(hAPP(c_member(_u15019), _u15015), c_Wellfounded_Oacc(_u15019, _u15021))) )).
% 27.71/27.95 cnf(matrix-6480, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15020), skolem329(_u15022, _u15020)), c_Wellfounded_Oacc(_u15020, _u15022))) | c_Wellfounded_Owf(_u15020, _u15022) )).
% 27.71/27.95 cnf(matrix-6481, plain, ( ~c_Wellfounded_Owf(_u15023, _u15024) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15023, _u15023)), hAPP(hAPP(c_Product__Type_OPair(_u15023, _u15023), _u15025), _u15025)), _u15024)) )).
% 27.71/27.95 cnf(matrix-6482, plain, ( ~c_Wellfounded_Owf(_u15026, _u15027) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15026, _u15026)), hAPP(hAPP(c_Product__Type_OPair(_u15026, _u15026), _u15028), _u15029)), _u15027)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15026, _u15026)), hAPP(hAPP(c_Product__Type_OPair(_u15026, _u15026), _u15029), _u15028)), _u15027)) )).
% 27.71/27.95 cnf(matrix-6483, plain, ( ~c_Wellfounded_Owf(_u15030, _u15031) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15030, _u15030)), hAPP(hAPP(c_Product__Type_OPair(_u15030, _u15030), _u15032), _u15033)), _u15031)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15030, _u15030)), hAPP(hAPP(c_Product__Type_OPair(_u15030, _u15030), _u15033), _u15032)), _u15031)) )).
% 27.71/27.95 cnf(matrix-6484, plain, ( ~c_Wellfounded_Owf(_u15034, _u15035) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15034, _u15034)), hAPP(hAPP(c_Product__Type_OPair(_u15034, _u15034), _u15036), _u15036)), _u15035)) )).
% 27.71/27.95 cnf(matrix-6485, plain, ( ~c_Wellfounded_Owf(_u15037, _u15038) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15037, _u15037), tc_HOL_Obool)), _u15039), _u15038)) | c_Wellfounded_Owf(_u15037, _u15039) )).
% 27.71/27.95 cnf(matrix-6486, plain, ( ~c_Wellfounded_Owf(_u15040, _u15041) | c_Wellfounded_Owf(tc_fun(_u15040, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u15040, _u15041)) )).
% 27.71/27.95 cnf(matrix-6487, plain, ( c_Wellfounded_Owf(tc_fun(_u15042, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u15042)) )).
% 27.71/27.95 cnf(matrix-6488, plain, ( ~c_Predicate_Opred__comp(_u15052, _u15054, _u15056, _u15058, _u15060, _u15062, _u15064) | hBOOL(hAPP(hAPP(_u15058, _u15062), skolem330(_u15064, _u15062, _u15060, _u15058))) )).
% 27.71/27.95 cnf(matrix-6489, plain, ( ~c_Predicate_Opred__comp(_u15052, _u15054, _u15056, _u15058, _u15060, _u15062, _u15064) | hBOOL(hAPP(hAPP(_u15060, skolem330(_u15064, _u15062, _u15060, _u15058)), _u15064)) )).
% 27.71/27.95 cnf(matrix-6490, plain, ( ~hBOOL(hAPP(hAPP(_u15059, _u15063), _u15044)) | ~hBOOL(hAPP(hAPP(_u15061, _u15044), _u15065)) | c_Predicate_Opred__comp(_u15053, _u15055, _u15057, _u15059, _u15061, _u15063, _u15065) )).
% 27.71/27.95 cnf(matrix-6491, plain, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 27.71/27.95 cnf(matrix-6492, plain, ( ~c_Wellfounded_Owf(_u15066, _u15067) | c_Wellfounded_Owf(_u15066, c_Wellfounded_Omlex__prod(_u15066, _u15068, _u15067)) )).
% 27.71/27.95 cnf(matrix-6493, plain, ( ~c_Wellfounded_Owf(_u15069, _u15070) | c_Wellfounded_Owf(tc_fun(_u15069, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u15069, _u15070)) )).
% 27.71/27.95 cnf(matrix-6494, plain, ( ~c_Wellfounded_Owf(_u15071, _u15072) | c_Wellfounded_Owf(_u15071, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15071, _u15071), tc_HOL_Obool)), _u15072), _u15073)) )).
% 27.71/27.95 cnf(matrix-6495, plain, ( ~c_Wellfounded_Owf(_u15074, _u15075) | c_Wellfounded_Owf(_u15074, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15074, _u15074), tc_HOL_Obool)), _u15076), _u15075)) )).
% 27.71/27.95 cnf(matrix-6496, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u15077)) )).
% 27.71/27.95 cnf(matrix-6497, plain, ( ~c_Wellfounded_Owf(_u15084, _u15086) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15084, _u15084)), hAPP(hAPP(c_Product__Type_OPair(_u15084, _u15084), hAPP(_u15079, hAPP(c_Nat_OSuc, skolem331(_u15086, _u15084, _u15079)))), hAPP(_u15079, skolem331(_u15086, _u15084, _u15079)))), _u15086)) )).
% 27.71/27.95 cnf(matrix-6498, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15085, _u15085)), hAPP(hAPP(c_Product__Type_OPair(_u15085, _u15085), hAPP(skolem332(_u15087, _u15085), hAPP(c_Nat_OSuc, _u15080))), hAPP(skolem332(_u15087, _u15085), _u15080))), _u15087)) | c_Wellfounded_Owf(_u15085, _u15087) )).
% 27.71/27.95 cnf(matrix-6499, plain, ( ~c_Wellfounded_Owf(_u15088, _u15089) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15088, tc_HOL_Obool)), _u15090), hAPP(c_Relation_OImage(_u15088, _u15088, _u15089), _u15090))) | ( _u15090 = c_Orderings_Obot__class_Obot(tc_fun(_u15088, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6500, plain, ( ~c_Wellfounded_Owf(_u15091, _u15092) | ~c_Wellfounded_Owf(_u15091, _u15093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15091, _u15091), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15091, _u15091, _u15091), _u15092), _u15093)), _u15092)) | c_Wellfounded_Owf(_u15091, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15091, _u15091), tc_HOL_Obool)), _u15092), _u15093)) )).
% 27.71/27.95 cnf(matrix-6501, plain, ( ~class_Orderings_Owellorder(_u15094) | c_Wellfounded_Owf(_u15094, hAPP(c_Set_OCollect(tc_prod(_u15094, _u15094)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15094, _u15094, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u15094)))) )).
% 27.71/27.95 cnf(matrix-6502, plain, ( ~c_FunDef_Oreduction__pair(_u15097, _u15099) | c_Wellfounded_Owf(_u15097, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool), tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool)), _u15099)) )).
% 27.71/27.95 cnf(matrix-6503, plain, ( ~c_FunDef_Oreduction__pair(_u15097, _u15099) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15097, _u15097, _u15097), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool), tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool)), _u15099)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool), tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool)), _u15099))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool), tc_fun(tc_prod(_u15097, _u15097), tc_HOL_Obool)), _u15099))) )).
% 27.71/27.95 cnf(matrix-6504, plain, ( ~c_Wellfounded_Owf(_u15098, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool), tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool)), _u15100)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15098, _u15098, _u15098), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool), tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool)), _u15100)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool), tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool)), _u15100))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool), tc_fun(tc_prod(_u15098, _u15098), tc_HOL_Obool)), _u15100))) | c_FunDef_Oreduction__pair(_u15098, _u15100) )).
% 27.71/27.95 cnf(matrix-6505, plain, ( ~c_FunDef_Oreduction__pair(_u15101, _u15102) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool)), _u15103), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool), tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool)), _u15102))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool)), _u15104), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool), tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool)), _u15102))) | ~c_Wellfounded_Owf(_u15101, _u15104) | c_Wellfounded_Owf(_u15101, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool)), _u15103), _u15104)) )).
% 27.71/27.95 cnf(matrix-6506, plain, ( ~c_Wellfounded_Owf(_u15105, _u15106) | ~c_Fun_Oinj__on(_u15105, _u15107, _u15108, c_Orderings_Otop__class_Otop(tc_fun(_u15105, tc_HOL_Obool))) | c_Wellfounded_Owf(_u15107, hAPP(c_Set_Oimage(tc_prod(_u15105, _u15105), tc_prod(_u15107, _u15107), c_Product__Type_Omap__pair(_u15105, _u15107, _u15105, _u15107, _u15108, _u15108)), _u15106)) )).
% 27.71/27.95 cnf(matrix-6507, plain, ( ~c_Wellfounded_Owf(_u15109, _u15110) | c_Wellfounded_Owf(tc_List_Olist(_u15109), c_List_Olenlex(_u15109, _u15110)) )).
% 27.71/27.95 cnf(matrix-6508, plain, ( c_Wellfounded_Owf(_u15115, hAPP(c_Set_OCollect(tc_prod(_u15115, _u15115)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15115, _u15115, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15115, tc_HOL_Obool), tc_fun(_u15115, tc_HOL_Obool), _u15115), hAPP(c_COMBS(_u15115, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15115), c_fconj), _u15112))), hAPP(hAPP(c_COMBC(_u15115, tc_fun(_u15115, _u15115), tc_fun(_u15115, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15115, tc_HOL_Obool), tc_fun(tc_fun(_u15115, _u15115), tc_fun(_u15115, tc_HOL_Obool)), _u15115), c_COMBB(_u15115, tc_HOL_Obool, _u15115)), c_fequal)), _u15114))))) | hBOOL(hAPP(_u15112, skolem333(_u15115, _u15114, _u15113, _u15112))) )).
% 27.71/27.95 cnf(matrix-6509, plain, ( c_Wellfounded_Owf(_u15115, hAPP(c_Set_OCollect(tc_prod(_u15115, _u15115)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15115, _u15115, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15115, tc_HOL_Obool), tc_fun(_u15115, tc_HOL_Obool), _u15115), hAPP(c_COMBS(_u15115, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15115), c_fconj), _u15112))), hAPP(hAPP(c_COMBC(_u15115, tc_fun(_u15115, _u15115), tc_fun(_u15115, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15115, tc_HOL_Obool), tc_fun(tc_fun(_u15115, _u15115), tc_fun(_u15115, tc_HOL_Obool)), _u15115), c_COMBB(_u15115, tc_HOL_Obool, _u15115)), c_fequal)), _u15114))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15113, hAPP(_u15114, skolem333(_u15115, _u15114, _u15113, _u15112)))), hAPP(_u15113, skolem333(_u15115, _u15114, _u15113, _u15112)))) )).
% 27.71/27.95 cnf(matrix-6510, 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)))) )).
% 27.71/27.95 cnf(matrix-6511, plain, ( ~c_Wellfounded_Owf(_u15116, _u15117) | c_Wellfounded_Owf(tc_List_Olist(_u15116), c_List_Olex(_u15116, _u15117)) )).
% 27.71/27.95 cnf(matrix-6512, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 27.71/27.95 cnf(matrix-6513, plain, ( ( c_List_Olex(_u15118, _u15119) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u15118), tc_List_Olist(_u15118)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u15118, _u15119))) )).
% 27.71/27.95 cnf(matrix-6514, plain, ( ~c_Wellfounded_Owf(_u15120, _u15121) | c_Wellfounded_Owf(tc_List_Olist(_u15120), hAPP(c_List_Olexn(_u15120, _u15121), _u15122)) )).
% 27.71/27.95 cnf(matrix-6515, plain, ( ( hAPP(c_List_Olexn(_u15123, _u15124), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u15123), tc_List_Olist(_u15123)), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6516, plain, ( c_Wellfounded_Owf(tc_prod(_u15129, _u15127), c_Recdef_Osame__fst(_u15129, _u15127, _u15126, _u15128)) | hBOOL(hAPP(_u15126, skolem334(_u15129, _u15128, _u15127, _u15126))) )).
% 27.71/27.95 cnf(matrix-6517, plain, ( c_Wellfounded_Owf(tc_prod(_u15129, _u15127), c_Recdef_Osame__fst(_u15129, _u15127, _u15126, _u15128)) | ~c_Wellfounded_Owf(_u15127, hAPP(_u15128, skolem334(_u15129, _u15128, _u15127, _u15126))) )).
% 27.71/27.95 cnf(matrix-6518, plain, ( ( hAPP(c_Relation_ORange(_u15130, _u15131), hAPP(c_Set_OCollect(tc_prod(_u15130, _u15131)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15130, _u15131, tc_HOL_Obool), _u15132))) = hAPP(c_Set_OCollect(_u15131), hAPP(hAPP(c_COMBB(tc_fun(_u15130, tc_HOL_Obool), tc_HOL_Obool, _u15131), c_HOL_OEx(_u15130)), hAPP(c_COMBC(_u15130, _u15131, tc_HOL_Obool), _u15132)))) )).
% 27.71/27.95 cnf(matrix-6519, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15133, _u15134)), hAPP(hAPP(c_Product__Type_OPair(_u15133, _u15134), _u15135), _u15136)), _u15137)) | hBOOL(hAPP(hAPP(c_member(_u15134), _u15136), hAPP(c_Relation_ORange(_u15133, _u15134), _u15137))) )).
% 27.71/27.95 cnf(matrix-6520, plain, ( ( hAPP(c_Relation_ORange(_u15138, _u15138), c_Relation_OId__on(_u15138, _u15139)) = _u15139) )).
% 27.71/27.95 cnf(matrix-6521, plain, ( ( hAPP(c_Relation_ORange(_u15143, _u15145), _u15147) != c_Orderings_Obot__class_Obot(tc_fun(_u15145, tc_HOL_Obool))) | ( _u15147 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15143, _u15145), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6522, plain, ( ( _u15148 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15144, _u15146), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u15144, _u15146), _u15148) = c_Orderings_Obot__class_Obot(tc_fun(_u15146, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6523, plain, ( ( hAPP(c_Relation_ORange(_u15149, _u15150), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15149, _u15150), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15150, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6524, plain, ( ( hAPP(c_Relation_ORange(_u15151, _u15152), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15151, _u15152), tc_HOL_Obool)), _u15153), _u15154)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15152, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15151, _u15152), _u15153)), hAPP(c_Relation_ORange(_u15151, _u15152), _u15154))) )).
% 27.71/27.95 cnf(matrix-6525, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15155, _u15156)), _u15157)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15156), hAPP(c_Relation_ORange(_u15155, _u15156), _u15157))) )).
% 27.71/27.95 cnf(matrix-6526, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u15158, _u15159), _u15159, c_Product__Type_Osnd(_u15158, _u15159)), _u15160) = hAPP(c_Relation_ORange(_u15158, _u15159), _u15160)) )).
% 27.71/27.95 cnf(matrix-6527, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15167), _u15169), hAPP(c_Relation_ORange(_u15171, _u15167), _u15173))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15171, _u15167)), hAPP(hAPP(c_Product__Type_OPair(_u15171, _u15167), skolem335(_u15173, _u15171, _u15169, _u15167)), _u15169)), _u15173)) )).
% 27.71/27.95 cnf(matrix-6528, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15172, _u15168)), hAPP(hAPP(c_Product__Type_OPair(_u15172, _u15168), _u15162), _u15170)), _u15174)) | hBOOL(hAPP(hAPP(c_member(_u15168), _u15170), hAPP(c_Relation_ORange(_u15172, _u15168), _u15174))) )).
% 27.71/27.95 cnf(matrix-6529, plain, ( ( hAPP(c_Relation_ORange(_u15175, _u15176), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15175, _u15176)), hAPP(hAPP(c_Product__Type_OPair(_u15175, _u15176), _u15177), _u15178)), _u15179)) = hAPP(hAPP(c_Set_Oinsert(_u15176), _u15178), hAPP(c_Relation_ORange(_u15175, _u15176), _u15179))) )).
% 27.71/27.95 cnf(matrix-6530, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15180, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15181, _u15180), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15181, _u15180), tc_HOL_Obool)), _u15182), _u15183))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15180, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15181, _u15180), _u15182)), hAPP(c_Relation_ORange(_u15181, _u15180), _u15183)))) )).
% 27.71/27.95 cnf(matrix-6531, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15184, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15184, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u15185, _u15184), _u15186)), hAPP(c_Relation_ORange(_u15185, _u15184), _u15187))), hAPP(c_Relation_ORange(_u15185, _u15184), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15185, _u15184), tc_HOL_Obool)), _u15186), _u15187)))) )).
% 27.71/27.95 cnf(matrix-6532, plain, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u15192, _u15194, hAPP(hAPP(c_COMBC(_u15192, tc_fun(tc_prod(_u15192, _u15194), tc_HOL_Obool), tc_fun(_u15194, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15194, tc_fun(tc_fun(tc_prod(_u15192, _u15194), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15192, _u15194), tc_HOL_Obool), tc_fun(_u15194, tc_HOL_Obool)), _u15192), c_COMBC(_u15194, tc_fun(tc_prod(_u15192, _u15194), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15194, tc_prod(_u15192, _u15194)), tc_fun(_u15194, tc_fun(tc_fun(tc_prod(_u15192, _u15194), tc_HOL_Obool), tc_HOL_Obool)), _u15192), hAPP(c_COMBB(tc_prod(_u15192, _u15194), tc_fun(tc_fun(tc_prod(_u15192, _u15194), tc_HOL_Obool), tc_HOL_Obool), _u15194), c_member(tc_prod(_u15192, _u15194)))), c_Product__Type_OPair(_u15192, _u15194)))), _u15196)), _u15198)) | hBOOL(hAPP(hAPP(c_member(_u15194), _u15198), hAPP(c_Relation_ORange(_u15192, _u15194), _u15196))) )).
% 27.71/27.95 cnf(matrix-6533, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15195), _u15199), hAPP(c_Relation_ORange(_u15193, _u15195), _u15197))) | hBOOL(hAPP(c_Predicate_ORangeP(_u15193, _u15195, hAPP(hAPP(c_COMBC(_u15193, tc_fun(tc_prod(_u15193, _u15195), tc_HOL_Obool), tc_fun(_u15195, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15195, tc_fun(tc_fun(tc_prod(_u15193, _u15195), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15193, _u15195), tc_HOL_Obool), tc_fun(_u15195, tc_HOL_Obool)), _u15193), c_COMBC(_u15195, tc_fun(tc_prod(_u15193, _u15195), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15195, tc_prod(_u15193, _u15195)), tc_fun(_u15195, tc_fun(tc_fun(tc_prod(_u15193, _u15195), tc_HOL_Obool), tc_HOL_Obool)), _u15193), hAPP(c_COMBB(tc_prod(_u15193, _u15195), tc_fun(tc_fun(tc_prod(_u15193, _u15195), tc_HOL_Obool), tc_HOL_Obool), _u15195), c_member(tc_prod(_u15193, _u15195)))), c_Product__Type_OPair(_u15193, _u15195)))), _u15197)), _u15199)) )).
% 27.71/27.95 cnf(matrix-6534, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15201), _u15202), hAPP(c_Relation_ORange(_u15203, _u15201), _u15204))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15203, _u15201)), hAPP(hAPP(c_Product__Type_OPair(_u15203, _u15201), skolem336(_u15204, _u15203, _u15202, _u15201)), _u15202)), _u15204)) )).
% 27.71/27.95 cnf(matrix-6535, plain, ( ~hBOOL(hAPP(hAPP(_u15205, _u15206), _u15207)) | hBOOL(hAPP(c_Predicate_ORangeP(_u15208, _u15209, _u15205), _u15207)) )).
% 27.71/27.95 cnf(matrix-6536, plain, ( hBOOL(hAPP(hAPP(_u15220, skolem337(_u15222, _u15220)), _u15222)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u15216, _u15218, _u15220), _u15222)) )).
% 27.71/27.95 cnf(matrix-6537, plain, ( ~hBOOL(hAPP(hAPP(_u15221, _u15211), _u15223)) | hBOOL(hAPP(c_Predicate_ORangeP(_u15217, _u15219, _u15221), _u15223)) )).
% 27.71/27.95 cnf(matrix-6538, plain, ( ~c_Wellfounded_Owf(_u15224, _u15225) | ~c_Wellfounded_Owf(_u15224, _u15226) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15224, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15224, _u15224), _u15225)), hAPP(c_Relation_ORange(_u15224, _u15224), _u15226)) != c_Orderings_Obot__class_Obot(tc_fun(_u15224, tc_HOL_Obool))) | c_Wellfounded_Owf(_u15224, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15224, _u15224), tc_HOL_Obool)), _u15225), _u15226)) )).
% 27.71/27.95 cnf(matrix-6539, plain, ( ~c_Wellfounded_OwfP(_u15229, _u15231) | c_Wellfounded_Owf(_u15229, hAPP(c_Set_OCollect(tc_prod(_u15229, _u15229)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15229, _u15229, tc_HOL_Obool), _u15231))) )).
% 27.71/27.95 cnf(matrix-6540, plain, ( ~c_Wellfounded_Owf(_u15230, hAPP(c_Set_OCollect(tc_prod(_u15230, _u15230)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15230, _u15230, tc_HOL_Obool), _u15232))) | c_Wellfounded_OwfP(_u15230, _u15232) )).
% 27.71/27.95 cnf(matrix-6541, plain, ( c_Wellfounded_OwfP(_u15233, hAPP(c_COMBK(tc_fun(_u15233, tc_HOL_Obool), _u15233), hAPP(c_COMBK(tc_HOL_Obool, _u15233), c_fFalse))) )).
% 27.71/27.95 cnf(matrix-6542, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15234, _u15235)), hAPP(hAPP(c_Product__Type_OPair(_u15234, _u15235), _u15236), _u15237)), _u15238)) | hBOOL(hAPP(hAPP(c_member(_u15234), _u15236), hAPP(c_Relation_ODomain(_u15234, _u15235), _u15238))) )).
% 27.71/27.95 cnf(matrix-6543, plain, ( ~c_Wellfounded_OwfP(_u15243, _u15245) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u15243, _u15245), _u15239)) )).
% 27.71/27.95 cnf(matrix-6544, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u15244, _u15246), skolem338(_u15246, _u15244))) | c_Wellfounded_OwfP(_u15244, _u15246) )).
% 27.71/27.95 cnf(matrix-6545, plain, ( ~c_Wellfounded_OwfP(_u15247, _u15248) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u15247, _u15248), _u15249)) )).
% 27.71/27.95 cnf(matrix-6546, plain, ( ( hAPP(c_Relation_ODomain(_u15250, _u15250), c_Relation_OId__on(_u15250, _u15251)) = _u15251) )).
% 27.71/27.95 cnf(matrix-6547, plain, ( ~c_Wellfounded_OwfP(_u15252, _u15253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15252, tc_fun(_u15252, tc_HOL_Obool))), _u15254), _u15253)) | c_Wellfounded_OwfP(_u15252, _u15254) )).
% 27.71/27.95 cnf(matrix-6548, plain, ( ( hAPP(c_Relation_ODomain(_u15258, _u15260), _u15262) != c_Orderings_Obot__class_Obot(tc_fun(_u15258, tc_HOL_Obool))) | ( _u15262 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15258, _u15260), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6549, plain, ( ( _u15263 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15259, _u15261), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u15259, _u15261), _u15263) = c_Orderings_Obot__class_Obot(tc_fun(_u15259, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6550, plain, ( ( hAPP(c_Relation_ODomain(_u15264, _u15265), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15264, _u15265), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15264, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6551, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15266, _u15267), tc_HOL_Obool)), _u15268), _u15269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15266, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15266, _u15267), _u15268)), hAPP(c_Relation_ODomain(_u15266, _u15267), _u15269))) )).
% 27.71/27.95 cnf(matrix-6552, plain, ( ( hAPP(c_Relation_ODomain(_u15270, _u15271), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15270, _u15271), tc_HOL_Obool)), _u15272), _u15273)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15270, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15270, _u15271), _u15272)), hAPP(c_Relation_ODomain(_u15270, _u15271), _u15273))) )).
% 27.71/27.95 cnf(matrix-6553, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15274, _u15275)), _u15276)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15274), hAPP(c_Relation_ODomain(_u15274, _u15275), _u15276))) )).
% 27.71/27.95 cnf(matrix-6554, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u15277, _u15278), _u15277, c_Product__Type_Ofst(_u15277, _u15278)), _u15279) = hAPP(c_Relation_ODomain(_u15277, _u15278), _u15279)) )).
% 27.71/27.95 cnf(matrix-6555, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15286), _u15288), hAPP(c_Relation_ODomain(_u15286, _u15290), _u15292))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15286, _u15290)), hAPP(hAPP(c_Product__Type_OPair(_u15286, _u15290), _u15288), skolem339(_u15292, _u15290, _u15288, _u15286))), _u15292)) )).
% 27.71/27.95 cnf(matrix-6556, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15287, _u15291)), hAPP(hAPP(c_Product__Type_OPair(_u15287, _u15291), _u15289), _u15281)), _u15293)) | hBOOL(hAPP(hAPP(c_member(_u15287), _u15289), hAPP(c_Relation_ODomain(_u15287, _u15291), _u15293))) )).
% 27.71/27.95 cnf(matrix-6557, plain, ( ( hAPP(c_Relation_ODomain(_u15294, _u15295), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15294, _u15295)), hAPP(hAPP(c_Product__Type_OPair(_u15294, _u15295), _u15296), _u15297)), _u15298)) = hAPP(hAPP(c_Set_Oinsert(_u15294), _u15296), hAPP(c_Relation_ODomain(_u15294, _u15295), _u15298))) )).
% 27.71/27.95 cnf(matrix-6558, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15299, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15299, _u15300), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15299, _u15300), tc_HOL_Obool)), _u15301), _u15302))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15299, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15299, _u15300), _u15301)), hAPP(c_Relation_ODomain(_u15299, _u15300), _u15302)))) )).
% 27.71/27.95 cnf(matrix-6559, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15303, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15303, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15303, _u15304), _u15305)), hAPP(c_Relation_ODomain(_u15303, _u15304), _u15306))), hAPP(c_Relation_ODomain(_u15303, _u15304), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15303, _u15304), tc_HOL_Obool)), _u15305), _u15306)))) )).
% 27.71/27.95 cnf(matrix-6560, plain, ( ( hAPP(c_Relation_OField(_u15307), _u15308) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15307, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u15307, _u15307), _u15308)), hAPP(c_Relation_ORange(_u15307, _u15307), _u15308))) )).
% 27.71/27.95 cnf(matrix-6561, plain, ( ~c_Wellfounded_Owf(_u15309, _u15310) | c_Wellfounded_OwfP(_u15309, c_FunDef_Oin__rel(_u15309, _u15309, _u15310)) )).
% 27.71/27.95 cnf(matrix-6562, plain, ( ~c_Wellfounded_OwfP(_u15313, hAPP(hAPP(c_COMBC(_u15313, tc_fun(tc_prod(_u15313, _u15313), tc_HOL_Obool), tc_fun(_u15313, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15313, tc_fun(tc_fun(tc_prod(_u15313, _u15313), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15313, _u15313), tc_HOL_Obool), tc_fun(_u15313, tc_HOL_Obool)), _u15313), c_COMBC(_u15313, tc_fun(tc_prod(_u15313, _u15313), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15313, tc_prod(_u15313, _u15313)), tc_fun(_u15313, tc_fun(tc_fun(tc_prod(_u15313, _u15313), tc_HOL_Obool), tc_HOL_Obool)), _u15313), hAPP(c_COMBB(tc_prod(_u15313, _u15313), tc_fun(tc_fun(tc_prod(_u15313, _u15313), tc_HOL_Obool), tc_HOL_Obool), _u15313), c_member(tc_prod(_u15313, _u15313)))), c_Product__Type_OPair(_u15313, _u15313)))), _u15315)) | c_Wellfounded_Owf(_u15313, _u15315) )).
% 27.71/27.95 cnf(matrix-6563, plain, ( ~c_Wellfounded_Owf(_u15314, _u15316) | c_Wellfounded_OwfP(_u15314, hAPP(hAPP(c_COMBC(_u15314, tc_fun(tc_prod(_u15314, _u15314), tc_HOL_Obool), tc_fun(_u15314, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15314, tc_fun(tc_fun(tc_prod(_u15314, _u15314), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15314, _u15314), tc_HOL_Obool), tc_fun(_u15314, tc_HOL_Obool)), _u15314), c_COMBC(_u15314, tc_fun(tc_prod(_u15314, _u15314), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15314, tc_prod(_u15314, _u15314)), tc_fun(_u15314, tc_fun(tc_fun(tc_prod(_u15314, _u15314), tc_HOL_Obool), tc_HOL_Obool)), _u15314), hAPP(c_COMBB(tc_prod(_u15314, _u15314), tc_fun(tc_fun(tc_prod(_u15314, _u15314), tc_HOL_Obool), tc_HOL_Obool), _u15314), c_member(tc_prod(_u15314, _u15314)))), c_Product__Type_OPair(_u15314, _u15314)))), _u15316)) )).
% 27.71/27.95 cnf(matrix-6564, plain, ( ( hAPP(c_Relation_ODomain(_u15317, _u15318), hAPP(c_Set_OCollect(tc_prod(_u15317, _u15318)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15317, _u15318, tc_HOL_Obool), _u15319))) = hAPP(c_Set_OCollect(_u15317), hAPP(hAPP(c_COMBB(tc_fun(_u15318, tc_HOL_Obool), tc_HOL_Obool, _u15317), c_HOL_OEx(_u15318)), _u15319))) )).
% 27.71/27.95 cnf(matrix-6565, plain, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u15324, _u15326, hAPP(hAPP(c_COMBC(_u15324, tc_fun(tc_prod(_u15324, _u15326), tc_HOL_Obool), tc_fun(_u15326, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15326, tc_fun(tc_fun(tc_prod(_u15324, _u15326), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15324, _u15326), tc_HOL_Obool), tc_fun(_u15326, tc_HOL_Obool)), _u15324), c_COMBC(_u15326, tc_fun(tc_prod(_u15324, _u15326), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15326, tc_prod(_u15324, _u15326)), tc_fun(_u15326, tc_fun(tc_fun(tc_prod(_u15324, _u15326), tc_HOL_Obool), tc_HOL_Obool)), _u15324), hAPP(c_COMBB(tc_prod(_u15324, _u15326), tc_fun(tc_fun(tc_prod(_u15324, _u15326), tc_HOL_Obool), tc_HOL_Obool), _u15326), c_member(tc_prod(_u15324, _u15326)))), c_Product__Type_OPair(_u15324, _u15326)))), _u15328)), _u15330)) | hBOOL(hAPP(hAPP(c_member(_u15324), _u15330), hAPP(c_Relation_ODomain(_u15324, _u15326), _u15328))) )).
% 27.71/27.95 cnf(matrix-6566, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15325), _u15331), hAPP(c_Relation_ODomain(_u15325, _u15327), _u15329))) | hBOOL(hAPP(c_Predicate_ODomainP(_u15325, _u15327, hAPP(hAPP(c_COMBC(_u15325, tc_fun(tc_prod(_u15325, _u15327), tc_HOL_Obool), tc_fun(_u15327, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15327, tc_fun(tc_fun(tc_prod(_u15325, _u15327), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15325, _u15327), tc_HOL_Obool), tc_fun(_u15327, tc_HOL_Obool)), _u15325), c_COMBC(_u15327, tc_fun(tc_prod(_u15325, _u15327), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15327, tc_prod(_u15325, _u15327)), tc_fun(_u15327, tc_fun(tc_fun(tc_prod(_u15325, _u15327), tc_HOL_Obool), tc_HOL_Obool)), _u15325), hAPP(c_COMBB(tc_prod(_u15325, _u15327), tc_fun(tc_fun(tc_prod(_u15325, _u15327), tc_HOL_Obool), tc_HOL_Obool), _u15327), c_member(tc_prod(_u15325, _u15327)))), c_Product__Type_OPair(_u15325, _u15327)))), _u15329)), _u15331)) )).
% 27.71/27.95 cnf(matrix-6567, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15333), _u15334), hAPP(c_Relation_ODomain(_u15333, _u15335), _u15336))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15333, _u15335)), hAPP(hAPP(c_Product__Type_OPair(_u15333, _u15335), _u15334), skolem340(_u15336, _u15335, _u15334, _u15333))), _u15336)) )).
% 27.71/27.95 cnf(matrix-6568, plain, ( ~hBOOL(hAPP(hAPP(_u15337, _u15338), _u15339)) | hBOOL(hAPP(c_Predicate_ODomainP(_u15340, _u15341, _u15337), _u15338)) )).
% 27.71/27.95 cnf(matrix-6569, plain, ( hBOOL(hAPP(hAPP(_u15352, _u15354), skolem341(_u15354, _u15352))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u15348, _u15350, _u15352), _u15354)) )).
% 27.71/27.95 cnf(matrix-6570, plain, ( ~hBOOL(hAPP(hAPP(_u15353, _u15355), _u15343)) | hBOOL(hAPP(c_Predicate_ODomainP(_u15349, _u15351, _u15353), _u15355)) )).
% 27.71/27.95 cnf(matrix-6571, plain, ( ~c_Wellfounded_OwfP(_u15356, _u15357) | c_Wellfounded_Oacyclic(_u15356, hAPP(c_Set_OCollect(tc_prod(_u15356, _u15356)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15356, _u15356, tc_HOL_Obool), _u15357))) )).
% 27.71/27.95 cnf(matrix-6572, plain, ( ( c_New__Random__Sequence_Opos__map(_u15358, _u15359, _u15360, _u15361) = c_New__Random__Sequence_Opos__bind(_u15358, _u15359, _u15361, hAPP(c_Fun_Ocomp(_u15359, 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(_u15359))))), _u15358, c_New__Random__Sequence_Opos__single(_u15359)), _u15360))) )).
% 27.71/27.95 cnf(matrix-6573, plain, ( ~c_Wellfounded_Owf(_u15362, _u15363) | c_Wellfounded_Oacyclic(_u15362, _u15363) )).
% 27.71/27.95 cnf(matrix-6574, plain, ( ~c_Wellfounded_Oacyclic(_u15364, _u15365) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15364, _u15364), tc_HOL_Obool)), _u15366), _u15365)) | c_Wellfounded_Oacyclic(_u15364, _u15366) )).
% 27.71/27.95 cnf(matrix-6575, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15367, _u15367)), _u15368)) | ~c_Wellfounded_Oacyclic(_u15367, _u15368) | c_Wellfounded_Owf(_u15367, _u15368) )).
% 27.71/27.95 cnf(matrix-6576, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15369, _u15369)), _u15370)) | ~c_Wellfounded_Owf(_u15369, _u15370) | c_Wellfounded_Oacyclic(_u15369, _u15370) )).
% 27.71/27.95 cnf(matrix-6577, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15369, _u15369)), _u15370)) | ~c_Wellfounded_Oacyclic(_u15369, _u15370) | c_Wellfounded_Owf(_u15369, _u15370) )).
% 27.71/27.95 cnf(matrix-6578, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u15371), _u15372), _u15373), _u15374), _u15375) = c_New__DSequence_Opos__single(_u15371, _u15372)) )).
% 27.71/27.95 cnf(matrix-6579, plain, ( ~c_Nitpick_Owf_H(_u15378, _u15380) | c_Wellfounded_Oacyclic(_u15378, _u15380) )).
% 27.71/27.95 cnf(matrix-6580, plain, ( ~c_Nitpick_Owf_H(_u15378, _u15380) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15378, _u15378)), _u15380)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 27.71/27.95 cnf(matrix-6581, plain, ( c_Nitpick_Owf_H(_u15379, _u15381) | ~c_Wellfounded_Oacyclic(_u15379, _u15381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15379, _u15379)), _u15381)) )).
% 27.71/27.95 cnf(matrix-6582, plain, ( c_Nitpick_Owf_H(_u15379, _u15381) | ~c_Wellfounded_Oacyclic(_u15379, _u15381) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 27.71/27.95 cnf(matrix-6583, plain, ( ( hAPP(c_New__DSequence_Opos__single(_u15382, _u15383), _u15384) = c_Lazy__Sequence_Osingle(_u15382, _u15383)) )).
% 27.71/27.95 cnf(matrix-6584, plain, ( ( c_New__Random__Sequence_Oneg__map(_u15385, _u15386, _u15387, _u15388) = c_New__Random__Sequence_Oneg__bind(_u15385, _u15386, _u15388, hAPP(c_Fun_Ocomp(_u15386, 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(_u15386)))))), _u15385, c_New__Random__Sequence_Oneg__single(_u15386)), _u15387))) )).
% 27.71/27.95 cnf(matrix-6585, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u15389), _u15390), _u15391), _u15392), _u15393) = c_New__DSequence_Oneg__single(_u15389, _u15390)) )).
% 27.71/27.95 cnf(matrix-6586, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15395), _u15396)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15397), hAPP(c_Set_Oimage(_u15395, _u15397, _u15398), _u15396))) | hBOOL(hAPP(hAPP(c_member(_u15395), skolem342(_u15398, _u15397, _u15396, _u15395)), _u15396)) )).
% 27.71/27.95 cnf(matrix-6587, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15395), _u15396)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15397), hAPP(c_Set_Oimage(_u15395, _u15397, _u15398), _u15396))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15395), hAPP(c_Set_OCollect(_u15395), hAPP(hAPP(c_COMBS(_u15395, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15395), c_fconj), hAPP(hAPP(c_COMBC(_u15395, tc_fun(_u15395, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15395)), _u15396))), hAPP(hAPP(c_COMBC(_u15395, _u15397, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u15397, tc_fun(_u15397, tc_HOL_Obool), _u15395), c_fequal), _u15398)), hAPP(_u15398, skolem342(_u15398, _u15397, _u15396, _u15395))))))) )).
% 27.71/27.95 cnf(matrix-6588, plain, ( ( hAPP(c_New__DSequence_Oneg__single(_u15399, _u15400), _u15401) = c_Lazy__Sequence_Ohb__single(_u15399, _u15400)) )).
% 27.71/27.95 cnf(matrix-6589, plain, ( ~c_Relation_Orefl__on(_u15409, _u15411, _u15413) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15409, _u15409)), _u15402), _u15413)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15409, _u15409, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15409, tc_fun(_u15409, tc_HOL_Obool), tc_fun(_u15409, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15409, tc_HOL_Obool), tc_fun(_u15409, tc_HOL_Obool)), _u15409), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15409)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15409), c_fconj), hAPP(hAPP(c_COMBC(_u15409, tc_fun(_u15409, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15409)), _u15411)))), hAPP(hAPP(c_COMBC(_u15409, tc_fun(_u15409, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15409)), _u15411))), _u15402)) )).
% 27.71/27.95 cnf(matrix-6590, plain, ( ~c_Relation_Orefl__on(_u15409, _u15411, _u15413) | ~hBOOL(hAPP(hAPP(c_member(_u15409), _u15403), _u15411)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15409, _u15409)), hAPP(hAPP(c_Product__Type_OPair(_u15409, _u15409), _u15403), _u15403)), _u15413)) )).
% 27.71/27.95 cnf(matrix-6591, plain, ( c_Relation_Orefl__on(_u15410, _u15412, _u15414) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15410, _u15410)), skolem343(_u15414, _u15412, _u15410)), _u15414)) | hBOOL(hAPP(hAPP(c_member(_u15410), skolem344(_u15414, _u15412, _u15410)), _u15412)) )).
% 27.71/27.95 cnf(matrix-6592, plain, ( c_Relation_Orefl__on(_u15410, _u15412, _u15414) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15410, _u15410)), skolem343(_u15414, _u15412, _u15410)), _u15414)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15410, _u15410)), hAPP(hAPP(c_Product__Type_OPair(_u15410, _u15410), skolem344(_u15414, _u15412, _u15410)), skolem344(_u15414, _u15412, _u15410))), _u15414)) )).
% 27.71/27.95 cnf(matrix-6593, plain, ( c_Relation_Orefl__on(_u15410, _u15412, _u15414) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15410, _u15410, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15410, tc_fun(_u15410, tc_HOL_Obool), tc_fun(_u15410, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15410, tc_HOL_Obool), tc_fun(_u15410, tc_HOL_Obool)), _u15410), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15410)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15410), c_fconj), hAPP(hAPP(c_COMBC(_u15410, tc_fun(_u15410, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15410)), _u15412)))), hAPP(hAPP(c_COMBC(_u15410, tc_fun(_u15410, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15410)), _u15412))), skolem343(_u15414, _u15412, _u15410))) | hBOOL(hAPP(hAPP(c_member(_u15410), skolem344(_u15414, _u15412, _u15410)), _u15412)) )).
% 27.71/27.95 cnf(matrix-6594, plain, ( c_Relation_Orefl__on(_u15410, _u15412, _u15414) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15410, _u15410, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15410, tc_fun(_u15410, tc_HOL_Obool), tc_fun(_u15410, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15410, tc_HOL_Obool), tc_fun(_u15410, tc_HOL_Obool)), _u15410), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15410)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15410), c_fconj), hAPP(hAPP(c_COMBC(_u15410, tc_fun(_u15410, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15410)), _u15412)))), hAPP(hAPP(c_COMBC(_u15410, tc_fun(_u15410, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15410)), _u15412))), skolem343(_u15414, _u15412, _u15410))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15410, _u15410)), hAPP(hAPP(c_Product__Type_OPair(_u15410, _u15410), skolem344(_u15414, _u15412, _u15410)), skolem344(_u15414, _u15412, _u15410))), _u15414)) )).
% 27.71/27.95 cnf(matrix-6595, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u15420, _u15422), _u15424)) | ~hBOOL(hAPP(hAPP(c_member(_u15420), _u15415), _u15424)) | hBOOL(hAPP(_u15422, _u15415)) )).
% 27.71/27.95 cnf(matrix-6596, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u15421, _u15423), _u15425)) | hBOOL(hAPP(hAPP(c_member(_u15421), skolem345(_u15425, _u15423, _u15421)), _u15425)) )).
% 27.71/27.95 cnf(matrix-6597, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u15421, _u15423), _u15425)) | ~hBOOL(hAPP(_u15423, skolem345(_u15425, _u15423, _u15421))) )).
% 27.71/27.95 cnf(matrix-6598, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15427), _u15426), c_Orderings_Obot__class_Obot(tc_fun(_u15427, tc_HOL_Obool)))) | hBOOL(hAPP(_u15428, _u15426)) )).
% 27.71/27.95 cnf(matrix-6599, plain, ( ~c_Equiv__Relations_Ocongruent(_u15435, _u15437, _u15439, _u15441) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15435, _u15435)), _u15429), _u15439)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15435, _u15435, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15435, tc_fun(_u15435, _u15437), tc_fun(_u15435, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15437, tc_HOL_Obool), tc_fun(tc_fun(_u15435, _u15437), tc_fun(_u15435, tc_HOL_Obool)), _u15435), c_COMBB(_u15437, tc_HOL_Obool, _u15435)), hAPP(hAPP(c_COMBB(_u15437, tc_fun(_u15437, tc_HOL_Obool), _u15435), c_fequal), _u15441))), _u15441)), _u15429)) )).
% 27.71/27.95 cnf(matrix-6600, plain, ( c_Equiv__Relations_Ocongruent(_u15436, _u15438, _u15440, _u15442) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15436, _u15436)), skolem346(_u15442, _u15440, _u15438, _u15436)), _u15440)) )).
% 27.71/27.95 cnf(matrix-6601, plain, ( c_Equiv__Relations_Ocongruent(_u15436, _u15438, _u15440, _u15442) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15436, _u15436, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15436, tc_fun(_u15436, _u15438), tc_fun(_u15436, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15438, tc_HOL_Obool), tc_fun(tc_fun(_u15436, _u15438), tc_fun(_u15436, tc_HOL_Obool)), _u15436), c_COMBB(_u15438, tc_HOL_Obool, _u15436)), hAPP(hAPP(c_COMBB(_u15438, tc_fun(_u15438, tc_HOL_Obool), _u15436), c_fequal), _u15442))), _u15442)), skolem346(_u15442, _u15440, _u15438, _u15436))) )).
% 27.71/27.95 cnf(matrix-6602, plain, ( ( _u15444 = hAPP(c_Int_OAbs__Integ, skolem347(_u15444))) )).
% 27.71/27.95 cnf(matrix-6603, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem347(_u15444)), c_Int_OInteg)) )).
% 27.71/27.95 cnf(matrix-6604, plain, ( hBOOL(hAPP(_u15446, _u15447)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem348(_u15447, _u15446)), c_Int_OInteg)) )).
% 27.71/27.95 cnf(matrix-6605, plain, ( hBOOL(hAPP(_u15446, _u15447)) | ~hBOOL(hAPP(_u15446, hAPP(c_Int_OAbs__Integ, skolem348(_u15447, _u15446)))) )).
% 27.71/27.95 cnf(matrix-6606, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u15457, _u15459, _u15461) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u15457)), _u15449), _u15461)) | c_Hoare__Mirabelle_Otriple__valid(_u15457, _u15450, _u15449) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u15457)), skolem349(_u15461, _u15459, _u15457, _u15450)), _u15459)) )).
% 27.71/27.95 cnf(matrix-6607, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u15457, _u15459, _u15461) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u15457)), _u15449), _u15461)) | c_Hoare__Mirabelle_Otriple__valid(_u15457, _u15450, _u15449) | ~c_Hoare__Mirabelle_Otriple__valid(_u15457, _u15450, skolem349(_u15461, _u15459, _u15457, _u15450)) )).
% 27.71/27.95 cnf(matrix-6608, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u15458, _u15460, _u15462) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u15458)), _u15451), _u15460)) | c_Hoare__Mirabelle_Otriple__valid(_u15458, skolem350(_u15462, _u15460, _u15458), _u15451) )).
% 27.71/27.95 cnf(matrix-6609, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u15458, _u15460, _u15462) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u15458)), skolem351(_u15462, _u15460, _u15458)), _u15462)) )).
% 27.71/27.95 cnf(matrix-6610, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u15458, _u15460, _u15462) | ~c_Hoare__Mirabelle_Otriple__valid(_u15458, skolem350(_u15462, _u15460, _u15458), skolem351(_u15462, _u15460, _u15458)) )).
% 27.71/27.95 cnf(matrix-6611, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15464), _u15465)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15464, tc_fun(_u15466, tc_HOL_Obool)), _u15465), _u15467))) | hBOOL(hAPP(hAPP(c_member(_u15464), skolem352(_u15467, _u15466, _u15465, _u15464)), _u15465)) )).
% 27.71/27.95 cnf(matrix-6612, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15464), _u15465)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15464, tc_fun(_u15466, tc_HOL_Obool)), _u15465), _u15467))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15466), hAPP(_u15467, skolem352(_u15467, _u15466, _u15465, _u15464)))) )).
% 27.71/27.95 cnf(matrix-6613, 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)), _u15470), _u15469) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem353(_u15470, _u15469)), _u15469)) )).
% 27.71/27.95 cnf(matrix-6614, 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)), _u15470), _u15469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15470), skolem353(_u15470, _u15469))) )).
% 27.71/27.95 cnf(matrix-6615, plain, ( ~c_Wellfounded_OwfP(_u15474, hAPP(_u15475, skolem354(_u15476, _u15475, _u15474))) | c_Wellfounded_OwfP(_u15474, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15476, tc_fun(_u15474, tc_fun(_u15474, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u15476, tc_HOL_Obool))), _u15475)) | ( hAPP(_u15475, skolem355(_u15476, _u15475, _u15474)) != hAPP(_u15475, skolem356(_u15476, _u15475, _u15474))) )).
% 27.71/27.95 cnf(matrix-6616, plain, ( ~c_Wellfounded_OwfP(_u15474, hAPP(_u15475, skolem354(_u15476, _u15475, _u15474))) | c_Wellfounded_OwfP(_u15474, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15476, tc_fun(_u15474, tc_fun(_u15474, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u15476, tc_HOL_Obool))), _u15475)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15474, tc_HOL_Obool)), c_Predicate_ODomainP(_u15474, _u15474, hAPP(_u15475, skolem355(_u15476, _u15475, _u15474)))), c_Predicate_ORangeP(_u15474, _u15474, hAPP(_u15475, skolem356(_u15476, _u15475, _u15474)))) != c_Orderings_Obot__class_Obot(tc_fun(_u15474, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6617, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15478), c_Map_Odom(_u15478, _u15479, _u15480))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15478), c_Orderings_Otop__class_Otop(tc_fun(_u15478, tc_HOL_Obool)))) | ( hAPP(_u15480, skolem357(_u15480, _u15479, _u15478)) = c_Option_Ooption_ONone(_u15479)) )).
% 27.71/27.95 cnf(matrix-6618, plain, ( hBOOL(hAPP(hAPP(c_member(_u15486), _u15487), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15484, _u15485, tc_fun(_u15486, tc_HOL_Obool)), _u15488), _u15483))) | ( _u15483 = hAPP(hAPP(c_Product__Type_OPair(_u15484, _u15485), skolem358(_u15488, _u15487, _u15486, _u15485, _u15484, _u15483)), skolem359(_u15488, _u15487, _u15486, _u15485, _u15484, _u15483))) )).
% 27.71/27.95 cnf(matrix-6619, plain, ( hBOOL(hAPP(hAPP(c_member(_u15486), _u15487), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15484, _u15485, tc_fun(_u15486, tc_HOL_Obool)), _u15488), _u15483))) | ~hBOOL(hAPP(hAPP(c_member(_u15486), _u15487), hAPP(hAPP(_u15488, skolem358(_u15488, _u15487, _u15486, _u15485, _u15484, _u15483)), skolem359(_u15488, _u15487, _u15486, _u15485, _u15484, _u15483)))) )).
% 27.71/27.95 cnf(matrix-6620, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15491), _u15492), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15493, _u15494, tc_fun(_u15491, tc_HOL_Obool)), _u15495), _u15496))) | ( _u15496 = hAPP(hAPP(c_Product__Type_OPair(_u15493, _u15494), skolem360(_u15496, _u15495, _u15494, _u15493, _u15492, _u15491)), skolem361(_u15496, _u15495, _u15494, _u15493, _u15492, _u15491))) )).
% 27.71/27.95 cnf(matrix-6621, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15491), _u15492), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15493, _u15494, tc_fun(_u15491, tc_HOL_Obool)), _u15495), _u15496))) | hBOOL(hAPP(hAPP(c_member(_u15491), _u15492), hAPP(hAPP(_u15495, skolem360(_u15496, _u15495, _u15494, _u15493, _u15492, _u15491)), skolem361(_u15496, _u15495, _u15494, _u15493, _u15492, _u15491)))) )).
% 27.71/27.95 cnf(matrix-6622, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15497, _u15498), hAPP(c_Product__Type_Oprod_Oprod__case(_u15497, _u15498, tc_HOL_Obool), _u15499)) = c_Hilbert__Choice_OEps(tc_prod(_u15497, _u15498), hAPP(hAPP(c_COMBS(tc_prod(_u15497, _u15498), _u15498, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u15497, tc_fun(_u15498, tc_HOL_Obool), tc_prod(_u15497, _u15498)), _u15499), c_Product__Type_Ofst(_u15497, _u15498))), c_Product__Type_Osnd(_u15497, _u15498)))) )).
% 27.71/27.95 cnf(matrix-6623, plain, ( ~hBOOL(hAPP(_u15501, _u15500)) | ( _u15502 != c_Hilbert__Choice_OEps(_u15503, _u15501)) | hBOOL(hAPP(_u15501, _u15502)) )).
% 27.71/27.95 cnf(matrix-6624, plain, ( ~hBOOL(hAPP(_u15505, _u15504)) | hBOOL(hAPP(_u15505, c_Hilbert__Choice_OEps(_u15506, _u15505))) )).
% 27.71/27.95 cnf(matrix-6625, plain, ( ~hBOOL(hAPP(_u15507, _u15508)) | hBOOL(hAPP(_u15507, c_Hilbert__Choice_OEps(_u15509, _u15507))) )).
% 27.71/27.95 cnf(matrix-6626, plain, ( ( c_Hilbert__Choice_OEps(_u15510, hAPP(c_fequal, _u15511)) = _u15511) )).
% 27.71/27.95 cnf(matrix-6627, plain, ( ( c_Hilbert__Choice_OEps(_u15512, hAPP(hAPP(c_COMBC(_u15512, _u15512, tc_HOL_Obool), c_fequal), _u15513)) = _u15513) )).
% 27.71/27.95 cnf(matrix-6628, plain, ( ~hBOOL(hAPP(_u15518, c_Hilbert__Choice_OEps(_u15520, _u15518))) | hBOOL(hAPP(_u15518, skolem362(_u15520, _u15518))) )).
% 27.71/27.95 cnf(matrix-6629, plain, ( ~hBOOL(hAPP(_u15519, _u15515)) | hBOOL(hAPP(_u15519, c_Hilbert__Choice_OEps(_u15521, _u15519))) )).
% 27.71/27.95 cnf(matrix-6630, plain, ( ~hBOOL(hAPP(_u15523, _u15522)) | hBOOL(hAPP(_u15523, c_Hilbert__Choice_OEps(_u15524, _u15523))) )).
% 27.71/27.95 cnf(matrix-6631, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15525, _u15526), _u15527) = c_Hilbert__Choice_OEps(tc_prod(_u15525, _u15526), hAPP(c_Product__Type_Oprod_Oprod__case(_u15525, _u15526, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15526, tc_prod(_u15525, _u15526)), tc_fun(_u15526, tc_HOL_Obool), _u15525), hAPP(c_COMBB(tc_prod(_u15525, _u15526), tc_HOL_Obool, _u15526), _u15527)), c_Product__Type_OPair(_u15525, _u15526))))) )).
% 27.71/27.95 cnf(matrix-6632, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15528, _u15529), hAPP(c_Product__Type_Oprod_Oprod__case(_u15528, _u15529, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15528, tc_fun(_u15529, tc_HOL_Obool), tc_fun(_u15529, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15529, tc_HOL_Obool), tc_fun(_u15529, tc_HOL_Obool)), _u15528), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15529)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15528), c_fconj), hAPP(c_fequal, _u15530)))), hAPP(c_fequal, _u15531)))) = hAPP(hAPP(c_Product__Type_OPair(_u15528, _u15529), _u15530), _u15531)) )).
% 27.71/27.95 cnf(matrix-6633, plain, ( c_Wellfounded_Owf(_u15533, _u15534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15533, tc_HOL_Obool)), skolem363(_u15534, _u15533)), hAPP(c_Relation_OImage(_u15533, _u15533, _u15534), skolem363(_u15534, _u15533)))) )).
% 27.71/27.95 cnf(matrix-6634, plain, ( c_Wellfounded_Owf(_u15533, _u15534) | ( skolem363(_u15534, _u15533) != c_Orderings_Obot__class_Obot(tc_fun(_u15533, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6635, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15536, tc_HOL_Obool)), _u15537), _u15538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15536, _u15539), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u15536, _u15539), _u15537), _u15540)), hAPP(hAPP(c_Product__Type_OSigma(_u15536, _u15539), _u15538), _u15541))) | hBOOL(hAPP(hAPP(c_member(_u15536), skolem364(_u15541, _u15540, _u15539, _u15538, _u15537, _u15536)), _u15537)) )).
% 27.71/27.95 cnf(matrix-6636, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15536, tc_HOL_Obool)), _u15537), _u15538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15536, _u15539), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u15536, _u15539), _u15537), _u15540)), hAPP(hAPP(c_Product__Type_OSigma(_u15536, _u15539), _u15538), _u15541))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15539, tc_HOL_Obool)), hAPP(_u15540, skolem364(_u15541, _u15540, _u15539, _u15538, _u15537, _u15536))), hAPP(_u15541, skolem364(_u15541, _u15540, _u15539, _u15538, _u15537, _u15536)))) )).
% 27.71/27.95 cnf(matrix-6637, plain, ( hBOOL(hAPP(hAPP(c_member(_u15543), _u15544), c_Wellfounded_Oacc(_u15543, _u15545))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15543, _u15543)), hAPP(hAPP(c_Product__Type_OPair(_u15543, _u15543), skolem365(_u15545, _u15544, _u15543)), _u15544)), _u15545)) )).
% 27.71/27.95 cnf(matrix-6638, plain, ( hBOOL(hAPP(hAPP(c_member(_u15543), _u15544), c_Wellfounded_Oacc(_u15543, _u15545))) | ~hBOOL(hAPP(hAPP(c_member(_u15543), skolem365(_u15545, _u15544, _u15543)), c_Wellfounded_Oacc(_u15543, _u15545))) )).
% 27.71/27.95 cnf(matrix-6639, plain, ( hBOOL(hAPP(hAPP(c_member(_u15547), _u15548), c_Wellfounded_Oacc(_u15547, _u15549))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15547, _u15547)), hAPP(hAPP(c_Product__Type_OPair(_u15547, _u15547), skolem366(_u15549, _u15548, _u15547)), _u15548)), _u15549)) )).
% 27.71/27.95 cnf(matrix-6640, plain, ( hBOOL(hAPP(hAPP(c_member(_u15547), _u15548), c_Wellfounded_Oacc(_u15547, _u15549))) | ~hBOOL(hAPP(hAPP(c_member(_u15547), skolem366(_u15549, _u15548, _u15547)), c_Wellfounded_Oacc(_u15547, _u15549))) )).
% 27.71/27.95 cnf(matrix-6641, plain, ( ~class_Groups_Ocomm__monoid__mult(_u15551) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15552), _u15553)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15551, _u15552, c_Groups_Otimes__class_Otimes(_u15551)), _u15554), c_Groups_Oone__class_Oone(_u15551)), _u15553) = c_Groups_Oone__class_Oone(_u15551)) | hBOOL(hAPP(hAPP(c_member(_u15552), skolem367(_u15554, _u15553, _u15552, _u15551)), _u15553)) )).
% 27.71/27.95 cnf(matrix-6642, plain, ( ~class_Groups_Ocomm__monoid__mult(_u15551) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15552), _u15553)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15551, _u15552, c_Groups_Otimes__class_Otimes(_u15551)), _u15554), c_Groups_Oone__class_Oone(_u15551)), _u15553) = c_Groups_Oone__class_Oone(_u15551)) | ( hAPP(_u15554, skolem367(_u15554, _u15553, _u15552, _u15551)) != c_Groups_Oone__class_Oone(_u15551)) )).
% 27.71/27.95 cnf(matrix-6643, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15556), _u15557)) | ( hAPP(c_Finite__Set_Ocard(_u15556), _u15557) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u15556), skolem368(_u15557, _u15556)), _u15557)) )).
% 27.71/27.95 cnf(matrix-6644, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15556), _u15557)) | ( hAPP(c_Finite__Set_Ocard(_u15556), _u15557) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.95 cnf(matrix-6645, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool)), _u15568), _u15570)), c_Wellfounded_Omax__ext(_u15566, _u15572))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15566), _u15568)) )).
% 27.71/27.95 cnf(matrix-6646, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool)), _u15568), _u15570)), c_Wellfounded_Omax__ext(_u15566, _u15572))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15566), _u15570)) )).
% 27.71/27.95 cnf(matrix-6647, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool)), _u15568), _u15570)), c_Wellfounded_Omax__ext(_u15566, _u15572))) | ( _u15570 != c_Orderings_Obot__class_Obot(tc_fun(_u15566, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6648, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool)), _u15568), _u15570)), c_Wellfounded_Omax__ext(_u15566, _u15572))) | ~hBOOL(hAPP(hAPP(c_member(_u15566), _u15559), _u15568)) | hBOOL(hAPP(hAPP(c_member(_u15566), skolem369(_u15572, _u15570, _u15568, _u15566, _u15559)), _u15570)) )).
% 27.71/27.95 cnf(matrix-6649, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15566, tc_HOL_Obool), tc_fun(_u15566, tc_HOL_Obool)), _u15568), _u15570)), c_Wellfounded_Omax__ext(_u15566, _u15572))) | ~hBOOL(hAPP(hAPP(c_member(_u15566), _u15559), _u15568)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15566, _u15566)), hAPP(hAPP(c_Product__Type_OPair(_u15566, _u15566), _u15559), skolem369(_u15572, _u15570, _u15568, _u15566, _u15559))), _u15572)) )).
% 27.71/27.95 cnf(matrix-6650, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15567, tc_HOL_Obool), tc_fun(_u15567, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15567, tc_HOL_Obool), tc_fun(_u15567, tc_HOL_Obool)), _u15569), _u15571)), c_Wellfounded_Omax__ext(_u15567, _u15573))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15567), _u15569)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15567), _u15571)) | ( _u15571 = c_Orderings_Obot__class_Obot(tc_fun(_u15567, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u15567), skolem370(_u15573, _u15571, _u15569, _u15567)), _u15569)) )).
% 27.71/27.95 cnf(matrix-6651, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15567, tc_HOL_Obool), tc_fun(_u15567, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15567, tc_HOL_Obool), tc_fun(_u15567, tc_HOL_Obool)), _u15569), _u15571)), c_Wellfounded_Omax__ext(_u15567, _u15573))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15567), _u15569)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15567), _u15571)) | ( _u15571 = c_Orderings_Obot__class_Obot(tc_fun(_u15567, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u15567), _u15560), _u15571)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15567, _u15567)), hAPP(hAPP(c_Product__Type_OPair(_u15567, _u15567), skolem370(_u15573, _u15571, _u15569, _u15567)), _u15560)), _u15573)) )).
% 27.71/27.95 cnf(matrix-6652, plain, ( ~class_Groups_Oab__semigroup__mult(_u15575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15576), _u15577)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15575, _u15576, c_Groups_Otimes__class_Otimes(_u15575)), _u15578), _u15580), _u15577) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15575, _u15576, c_Groups_Otimes__class_Otimes(_u15575)), _u15579), _u15580), _u15577)) | hBOOL(hAPP(hAPP(c_member(_u15576), skolem371(_u15580, _u15579, _u15578, _u15577, _u15576, _u15575)), _u15577)) )).
% 27.71/27.95 cnf(matrix-6653, plain, ( ~class_Groups_Oab__semigroup__mult(_u15575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15576), _u15577)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15575, _u15576, c_Groups_Otimes__class_Otimes(_u15575)), _u15578), _u15580), _u15577) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15575, _u15576, c_Groups_Otimes__class_Otimes(_u15575)), _u15579), _u15580), _u15577)) | ( hAPP(_u15578, skolem371(_u15580, _u15579, _u15578, _u15577, _u15576, _u15575)) != hAPP(_u15579, skolem371(_u15580, _u15579, _u15578, _u15577, _u15576, _u15575))) )).
% 27.71/27.95 cnf(matrix-6654, plain, ( ~class_Rings_Ocomm__semiring__1(_u15582) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15583), _u15584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15583, tc_HOL_Obool)), _u15585), _u15584)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15582), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15583, _u15582), _u15586), _u15585)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15583, _u15582), _u15587), _u15584))) | hBOOL(hAPP(hAPP(c_member(_u15583), skolem372(_u15587, _u15586, _u15585, _u15584, _u15583, _u15582)), _u15585)) )).
% 27.71/27.95 cnf(matrix-6655, plain, ( ~class_Rings_Ocomm__semiring__1(_u15582) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15583), _u15584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15583, tc_HOL_Obool)), _u15585), _u15584)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15582), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15583, _u15582), _u15586), _u15585)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15583, _u15582), _u15587), _u15584))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15582), hAPP(_u15586, skolem372(_u15587, _u15586, _u15585, _u15584, _u15583, _u15582))), hAPP(_u15587, skolem372(_u15587, _u15586, _u15585, _u15584, _u15583, _u15582)))) )).
% 27.71/27.95 cnf(matrix-6656, plain, ( ~class_Orderings_Olinorder(_u15589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15589), _u15590)) | ~hBOOL(hAPP(hAPP(c_member(_u15589), _u15591), _u15590)) | ( c_Big__Operators_Olinorder__class_OMin(_u15589, _u15590) = _u15591) | hBOOL(hAPP(hAPP(c_member(_u15589), skolem373(_u15591, _u15590, _u15589)), _u15590)) )).
% 27.71/27.95 cnf(matrix-6657, plain, ( ~class_Orderings_Olinorder(_u15589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15589), _u15590)) | ~hBOOL(hAPP(hAPP(c_member(_u15589), _u15591), _u15590)) | ( c_Big__Operators_Olinorder__class_OMin(_u15589, _u15590) = _u15591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15589), _u15591), skolem373(_u15591, _u15590, _u15589))) )).
% 27.71/27.95 cnf(matrix-6658, plain, ( ~class_Orderings_Olinorder(_u15593) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15593), _u15594)) | ~hBOOL(hAPP(hAPP(c_member(_u15593), _u15595), _u15594)) | ( c_Big__Operators_Olinorder__class_OMax(_u15593, _u15594) = _u15595) | hBOOL(hAPP(hAPP(c_member(_u15593), skolem374(_u15595, _u15594, _u15593)), _u15594)) )).
% 27.71/27.95 cnf(matrix-6659, plain, ( ~class_Orderings_Olinorder(_u15593) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15593), _u15594)) | ~hBOOL(hAPP(hAPP(c_member(_u15593), _u15595), _u15594)) | ( c_Big__Operators_Olinorder__class_OMax(_u15593, _u15594) = _u15595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15593), skolem374(_u15595, _u15594, _u15593)), _u15595)) )).
% 27.71/27.95 cnf(matrix-6660, plain, ( ~c_Wellfounded_Owf(_u15597, _u15598) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15597, _u15597)), hAPP(hAPP(c_Product__Type_OPair(_u15597, _u15597), hAPP(_u15599, hAPP(c_Nat_OSuc, skolem375(_u15599, _u15598, _u15597)))), hAPP(_u15599, skolem375(_u15599, _u15598, _u15597)))), _u15598)) )).
% 27.71/27.95 cnf(matrix-6661, plain, ( ~class_Groups_Ocomm__monoid__add(_u15601) | ~c_Fun_Oinj__on(_u15602, _u15603, _u15604, _u15605) | ( _u15606 != hAPP(c_Set_Oimage(_u15602, _u15603, _u15604), _u15605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15603, _u15601), _u15608), _u15606) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15602, _u15601), _u15607), _u15605)) | hBOOL(hAPP(hAPP(c_member(_u15602), skolem376(_u15608, _u15607, _u15606, _u15605, _u15604, _u15603, _u15602, _u15601)), _u15605)) )).
% 27.71/27.95 cnf(matrix-6662, plain, ( ~class_Groups_Ocomm__monoid__add(_u15601) | ~c_Fun_Oinj__on(_u15602, _u15603, _u15604, _u15605) | ( _u15606 != hAPP(c_Set_Oimage(_u15602, _u15603, _u15604), _u15605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15603, _u15601), _u15608), _u15606) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15602, _u15601), _u15607), _u15605)) | ( hAPP(_u15607, skolem376(_u15608, _u15607, _u15606, _u15605, _u15604, _u15603, _u15602, _u15601)) != hAPP(_u15608, hAPP(_u15604, skolem376(_u15608, _u15607, _u15606, _u15605, _u15604, _u15603, _u15602, _u15601)))) )).
% 27.71/27.95 cnf(matrix-6663, 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), _u15611), _u15613)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15611), _u15613)) )).
% 27.71/27.95 cnf(matrix-6664, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15612), _u15614)) | 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), _u15612), _u15614)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 27.71/27.95 cnf(matrix-6665, plain, ( ~c_Wellfounded_Owf(_u15615, _u15616) | c_Wellfounded_Owf(_u15615, c_Transitive__Closure_Otrancl(_u15615, _u15616)) )).
% 27.71/27.95 cnf(matrix-6666, plain, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 27.71/27.95 cnf(matrix-6667, plain, ( ~c_Wellfounded_Oacyclic(_u15621, _u15623) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15621, _u15621)), hAPP(hAPP(c_Product__Type_OPair(_u15621, _u15621), _u15617), _u15617)), c_Transitive__Closure_Otrancl(_u15621, _u15623))) )).
% 27.71/27.95 cnf(matrix-6668, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15622, _u15622)), hAPP(hAPP(c_Product__Type_OPair(_u15622, _u15622), skolem377(_u15624, _u15622)), skolem377(_u15624, _u15622))), c_Transitive__Closure_Otrancl(_u15622, _u15624))) | c_Wellfounded_Oacyclic(_u15622, _u15624) )).
% 27.71/27.95 cnf(matrix-6669, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15625, _u15625)), hAPP(hAPP(c_Product__Type_OPair(_u15625, _u15625), _u15626), _u15627)), _u15628)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15625, _u15625)), hAPP(hAPP(c_Product__Type_OPair(_u15625, _u15625), _u15626), _u15627)), c_Transitive__Closure_Otrancl(_u15625, _u15628))) )).
% 27.71/27.95 cnf(matrix-6670, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15629, _u15629), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15629, _u15630)), hAPP(hAPP(c_Product__Type_OSigma(_u15629, _u15629), hAPP(c_Relation_OField(_u15629), _u15630)), hAPP(c_COMBK(tc_fun(_u15629, tc_HOL_Obool), _u15629), hAPP(c_Relation_OField(_u15629), _u15630))))) )).
% 27.71/27.95 cnf(matrix-6671, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), _u15632), _u15633)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), _u15632), c_Transitive__Closure_Otrancl(_u15631, _u15633))) )).
% 27.71/27.95 cnf(matrix-6672, plain, ( ( c_Transitive__Closure_Otrancl(_u15634, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15634, _u15634), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15634, _u15634), tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6673, plain, ( ( hAPP(c_Relation_ODomain(_u15635, _u15635), c_Transitive__Closure_Otrancl(_u15635, _u15636)) = hAPP(c_Relation_ODomain(_u15635, _u15635), _u15636)) )).
% 27.71/27.95 cnf(matrix-6674, plain, ( ( hAPP(c_Relation_ORange(_u15637, _u15637), c_Transitive__Closure_Otrancl(_u15637, _u15638)) = hAPP(c_Relation_ORange(_u15637, _u15637), _u15638)) )).
% 27.71/27.95 cnf(matrix-6675, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15641, _u15641)), c_Transitive__Closure_Otrancl(_u15641, _u15643))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15641, _u15641)), _u15643)) )).
% 27.71/27.95 cnf(matrix-6676, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15642, _u15642)), _u15644)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15642, _u15642)), c_Transitive__Closure_Otrancl(_u15642, _u15644))) )).
% 27.71/27.95 cnf(matrix-6677, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15645, _u15645)), hAPP(hAPP(c_Product__Type_OPair(_u15645, _u15645), _u15646), _u15647)), c_Transitive__Closure_Otrancl(_u15645, _u15648))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15645, _u15645)), hAPP(hAPP(c_Product__Type_OPair(_u15645, _u15645), _u15647), _u15649)), c_Transitive__Closure_Otrancl(_u15645, _u15648))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15645, _u15645)), hAPP(hAPP(c_Product__Type_OPair(_u15645, _u15645), _u15646), _u15649)), c_Transitive__Closure_Otrancl(_u15645, _u15648))) )).
% 27.71/27.95 cnf(matrix-6678, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15650, _u15650)), hAPP(hAPP(c_Product__Type_OPair(_u15650, _u15650), _u15651), _u15652)), c_Transitive__Closure_Otrancl(_u15650, _u15653))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15650, _u15650)), hAPP(hAPP(c_Product__Type_OPair(_u15650, _u15650), _u15652), _u15654)), _u15653)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15650, _u15650)), hAPP(hAPP(c_Product__Type_OPair(_u15650, _u15650), _u15651), _u15654)), c_Transitive__Closure_Otrancl(_u15650, _u15653))) )).
% 27.71/27.95 cnf(matrix-6679, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15655, _u15655)), hAPP(hAPP(c_Product__Type_OPair(_u15655, _u15655), _u15656), _u15657)), _u15658)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15655, _u15655)), hAPP(hAPP(c_Product__Type_OPair(_u15655, _u15655), _u15657), _u15659)), c_Transitive__Closure_Otrancl(_u15655, _u15658))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15655, _u15655)), hAPP(hAPP(c_Product__Type_OPair(_u15655, _u15655), _u15656), _u15659)), c_Transitive__Closure_Otrancl(_u15655, _u15658))) )).
% 27.71/27.95 cnf(matrix-6680, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15660, _u15660)), hAPP(hAPP(c_Product__Type_OPair(_u15660, _u15660), _u15661), _u15662)), _u15663)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15660, _u15660)), hAPP(hAPP(c_Product__Type_OPair(_u15660, _u15660), _u15662), _u15664)), _u15663)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15660, _u15660)), hAPP(hAPP(c_Product__Type_OPair(_u15660, _u15660), _u15661), _u15664)), c_Transitive__Closure_Otrancl(_u15660, _u15663))) )).
% 27.71/27.95 cnf(matrix-6681, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15665, _u15665)), _u15666), c_Transitive__Closure_Otrancl(_u15665, _u15667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15665, _u15665), tc_HOL_Obool)), _u15667), _u15668)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15665, _u15665)), _u15666), c_Transitive__Closure_Otrancl(_u15665, _u15668))) )).
% 27.71/27.95 cnf(matrix-6682, plain, ( ( c_Transitive__Closure_Otrancl(_u15669, _u15670) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15669, _u15669), tc_HOL_Obool)), _u15670), hAPP(hAPP(c_Relation_Orel__comp(_u15669, _u15669, _u15669), c_Transitive__Closure_Otrancl(_u15669, _u15670)), _u15670))) )).
% 27.71/27.95 cnf(matrix-6683, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15671, _u15671), tc_HOL_Obool)), _u15672), hAPP(hAPP(c_Product__Type_OSigma(_u15671, _u15671), _u15673), hAPP(c_COMBK(tc_fun(_u15671, tc_HOL_Obool), _u15671), _u15673)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15671, _u15671), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15671, _u15672)), hAPP(hAPP(c_Product__Type_OSigma(_u15671, _u15671), _u15673), hAPP(c_COMBK(tc_fun(_u15671, tc_HOL_Obool), _u15671), _u15673)))) )).
% 27.71/27.95 cnf(matrix-6684, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15674, _u15674), tc_HOL_Obool)), _u15675), _u15676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15674, _u15674), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15674, _u15674, _u15674), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15674, _u15674), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15674, _u15675)), _u15676)), _u15675)), _u15676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15674, _u15674), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15674, _u15675)), _u15676)) )).
% 27.71/27.95 cnf(matrix-6685, plain, ( ( c_Transitive__Closure_Otrancl(_u15677, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15677, _u15677)), hAPP(hAPP(c_Product__Type_OPair(_u15677, _u15677), _u15678), _u15679)), _u15680)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15677, _u15677), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15677, _u15680)), hAPP(c_Set_OCollect(tc_prod(_u15677, _u15677)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15677, _u15677, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15677, tc_fun(_u15677, tc_HOL_Obool), tc_fun(_u15677, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15677, tc_HOL_Obool), tc_fun(_u15677, tc_HOL_Obool)), _u15677), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15677)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15677), c_fconj), hAPP(hAPP(c_COMBC(_u15677, tc_fun(tc_prod(_u15677, _u15677), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u15677, _u15677), tc_fun(tc_fun(tc_prod(_u15677, _u15677), tc_HOL_Obool), tc_HOL_Obool), _u15677), c_member(tc_prod(_u15677, _u15677))), hAPP(hAPP(c_COMBC(_u15677, _u15677, tc_prod(_u15677, _u15677)), c_Product__Type_OPair(_u15677, _u15677)), _u15678))), c_Transitive__Closure_Ortrancl(_u15677, _u15680))))), hAPP(hAPP(c_COMBC(_u15677, tc_fun(tc_prod(_u15677, _u15677), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u15677, _u15677), tc_fun(tc_fun(tc_prod(_u15677, _u15677), tc_HOL_Obool), tc_HOL_Obool), _u15677), c_member(tc_prod(_u15677, _u15677))), hAPP(c_Product__Type_OPair(_u15677, _u15677), _u15679))), c_Transitive__Closure_Ortrancl(_u15677, _u15680))))))) )).
% 27.71/27.95 cnf(matrix-6686, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15685, tc_fun(_u15685, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u15685, tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool), tc_fun(_u15685, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15685, tc_fun(tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool), tc_fun(_u15685, tc_HOL_Obool)), _u15685), c_COMBC(_u15685, tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15685, tc_prod(_u15685, _u15685)), tc_fun(_u15685, tc_fun(tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool), tc_HOL_Obool)), _u15685), hAPP(c_COMBB(tc_prod(_u15685, _u15685), tc_fun(tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool), tc_HOL_Obool), _u15685), c_member(tc_prod(_u15685, _u15685)))), c_Product__Type_OPair(_u15685, _u15685)))), _u15687)), c_fequal), _u15689), _u15691)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15685, _u15685)), hAPP(hAPP(c_Product__Type_OPair(_u15685, _u15685), _u15689), _u15691)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15685, _u15685), tc_HOL_Obool)), _u15687), c_Relation_OId(_u15685)))) )).
% 27.71/27.95 cnf(matrix-6687, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15686, _u15686)), hAPP(hAPP(c_Product__Type_OPair(_u15686, _u15686), _u15690), _u15692)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool)), _u15688), c_Relation_OId(_u15686)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15686, tc_fun(_u15686, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u15686, tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool), tc_fun(_u15686, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15686, tc_fun(tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool), tc_fun(_u15686, tc_HOL_Obool)), _u15686), c_COMBC(_u15686, tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15686, tc_prod(_u15686, _u15686)), tc_fun(_u15686, tc_fun(tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool), tc_HOL_Obool)), _u15686), hAPP(c_COMBB(tc_prod(_u15686, _u15686), tc_fun(tc_fun(tc_prod(_u15686, _u15686), tc_HOL_Obool), tc_HOL_Obool), _u15686), c_member(tc_prod(_u15686, _u15686)))), c_Product__Type_OPair(_u15686, _u15686)))), _u15688)), c_fequal), _u15690), _u15692)) )).
% 27.71/27.95 cnf(matrix-6688, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15693, _u15693)), _u15694), _u15695)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15693, _u15693)), _u15694), c_Transitive__Closure_Ortrancl(_u15693, _u15695))) )).
% 27.71/27.95 cnf(matrix-6689, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15696, _u15696)), hAPP(hAPP(c_Product__Type_OPair(_u15696, _u15696), _u15697), _u15697)), c_Transitive__Closure_Ortrancl(_u15696, _u15698))) )).
% 27.71/27.95 cnf(matrix-6690, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15699, _u15699)), hAPP(hAPP(c_Product__Type_OPair(_u15699, _u15699), _u15700), _u15700)), c_Relation_OId(_u15699))) )).
% 27.71/27.95 cnf(matrix-6691, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15701, _u15701)), hAPP(hAPP(c_Product__Type_OPair(_u15701, _u15701), _u15702), _u15703)), c_Transitive__Closure_Otrancl(_u15701, _u15704))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15701, _u15701)), hAPP(hAPP(c_Product__Type_OPair(_u15701, _u15701), _u15702), _u15703)), c_Transitive__Closure_Ortrancl(_u15701, _u15704))) )).
% 27.71/27.95 cnf(matrix-6692, plain, ( ( c_Transitive__Closure_Otrancl(_u15705, c_Transitive__Closure_Ortrancl(_u15705, _u15706)) = c_Transitive__Closure_Ortrancl(_u15705, _u15706)) )).
% 27.71/27.95 cnf(matrix-6693, plain, ( ( c_Transitive__Closure_Ortrancl(_u15707, c_Transitive__Closure_Otrancl(_u15707, _u15708)) = c_Transitive__Closure_Ortrancl(_u15707, _u15708)) )).
% 27.71/27.95 cnf(matrix-6694, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15709, _u15709), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15709, _u15710)), c_Relation_OId(_u15709)) = c_Transitive__Closure_Ortrancl(_u15709, _u15710)) )).
% 27.71/27.95 cnf(matrix-6695, plain, ( ( c_Transitive__Closure_Otrancl(_u15711, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15711, _u15711), tc_HOL_Obool)), _u15712), c_Relation_OId(_u15711))) = c_Transitive__Closure_Ortrancl(_u15711, _u15712)) )).
% 27.71/27.95 cnf(matrix-6696, plain, ( ( c_Transitive__Closure_Otrancl(_u15713, _u15714) = hAPP(hAPP(c_Relation_Orel__comp(_u15713, _u15713, _u15713), _u15714), c_Transitive__Closure_Ortrancl(_u15713, _u15714))) )).
% 27.71/27.95 cnf(matrix-6697, plain, ( ( c_Transitive__Closure_Otrancl(_u15715, _u15716) = hAPP(hAPP(c_Relation_Orel__comp(_u15715, _u15715, _u15715), c_Transitive__Closure_Ortrancl(_u15715, _u15716)), _u15716)) )).
% 27.71/27.95 cnf(matrix-6698, plain, ( ( hAPP(c_Relation_ODomain(_u15717, _u15717), c_Transitive__Closure_Ortrancl(_u15717, _u15718)) = c_Orderings_Otop__class_Otop(tc_fun(_u15717, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6699, plain, ( ( hAPP(c_Relation_ORange(_u15719, _u15719), c_Transitive__Closure_Ortrancl(_u15719, _u15720)) = c_Orderings_Otop__class_Otop(tc_fun(_u15719, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6700, plain, ( ( c_Transitive__Closure_Ortrancl(_u15721, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15721, _u15721), tc_HOL_Obool))) = c_Relation_OId(_u15721)) )).
% 27.71/27.95 cnf(matrix-6701, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15722, _u15722), tc_HOL_Obool)), c_Relation_OId(_u15722)), _u15723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15722, _u15722), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15722, _u15722, _u15722), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15722, _u15722), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15722, _u15724)), _u15723)), _u15724)), _u15723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15722, _u15722), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15722, _u15724)), _u15723)) )).
% 27.71/27.95 cnf(matrix-6702, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15725, _u15725, _u15725), c_Transitive__Closure_Ortrancl(_u15725, _u15726)), c_Transitive__Closure_Ortrancl(_u15725, _u15726)) = c_Transitive__Closure_Ortrancl(_u15725, _u15726)) )).
% 27.71/27.95 cnf(matrix-6703, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15727, _u15727, _u15727), _u15728), c_Transitive__Closure_Ortrancl(_u15727, _u15728)) = hAPP(hAPP(c_Relation_Orel__comp(_u15727, _u15727, _u15727), c_Transitive__Closure_Ortrancl(_u15727, _u15728)), _u15728)) )).
% 27.71/27.95 cnf(matrix-6704, plain, ( ( c_Transitive__Closure_Ortrancl(_u15729, _u15730) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15729, _u15729), tc_HOL_Obool)), c_Relation_OId(_u15729)), hAPP(hAPP(c_Relation_Orel__comp(_u15729, _u15729, _u15729), c_Transitive__Closure_Ortrancl(_u15729, _u15730)), _u15730))) )).
% 27.71/27.95 cnf(matrix-6705, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15731, _u15731)), _u15732), c_Transitive__Closure_Ortrancl(_u15731, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15731, _u15731), tc_HOL_Obool)), _u15733), _u15734)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15731, _u15731)), _u15732), c_Transitive__Closure_Ortrancl(_u15731, _u15733))) )).
% 27.71/27.95 cnf(matrix-6706, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15731, _u15731)), _u15732), c_Transitive__Closure_Ortrancl(_u15731, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15731, _u15731), tc_HOL_Obool)), _u15733), _u15734)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15731, _u15731)), _u15732), c_Transitive__Closure_Ortrancl(_u15731, _u15734))) )).
% 27.71/27.95 cnf(matrix-6707, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15735, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15735, _u15735, _u15736), _u15737)), _u15737)) | ( hAPP(c_Relation_OImage(_u15735, _u15735, c_Transitive__Closure_Ortrancl(_u15735, _u15736)), _u15737) = _u15737) )).
% 27.71/27.95 cnf(matrix-6708, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15738, _u15738), tc_HOL_Obool)), _u15739), _u15740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15738, _u15738), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15738, _u15739)), c_Transitive__Closure_Ortrancl(_u15738, _u15740))) )).
% 27.71/27.95 cnf(matrix-6709, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15741, _u15741), tc_HOL_Obool)), _u15742), _u15743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15741, _u15741), tc_HOL_Obool)), _u15743), c_Transitive__Closure_Ortrancl(_u15741, _u15742))) | ( c_Transitive__Closure_Ortrancl(_u15741, _u15743) = c_Transitive__Closure_Ortrancl(_u15741, _u15742)) )).
% 27.71/27.95 cnf(matrix-6710, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15744, _u15744), tc_HOL_Obool)), _u15745), c_Transitive__Closure_Ortrancl(_u15744, _u15746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15744, _u15744), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15744, _u15745)), c_Transitive__Closure_Ortrancl(_u15744, _u15746))) )).
% 27.71/27.95 cnf(matrix-6711, plain, ( ( c_Transitive__Closure_Ortrancl(_u15747, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15747, _u15747), tc_HOL_Obool)), _u15748), c_Relation_OId(_u15747))) = c_Transitive__Closure_Ortrancl(_u15747, _u15748)) )).
% 27.71/27.95 cnf(matrix-6712, plain, ( ( c_Transitive__Closure_Ortrancl(_u15749, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15749, _u15749), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15749, _u15750)), c_Transitive__Closure_Ortrancl(_u15749, _u15751))) = c_Transitive__Closure_Ortrancl(_u15749, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15749, _u15749), tc_HOL_Obool)), _u15750), _u15751))) )).
% 27.71/27.95 cnf(matrix-6713, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15752, _u15752), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15752, _u15753)), c_Relation_OId(_u15752)) = c_Transitive__Closure_Ortrancl(_u15752, _u15753)) )).
% 27.71/27.95 cnf(matrix-6714, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15754, _u15754), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15754, _u15754), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15754, _u15755)), c_Transitive__Closure_Ortrancl(_u15754, _u15756))), c_Transitive__Closure_Ortrancl(_u15754, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15754, _u15754), tc_HOL_Obool)), _u15755), _u15756)))) )).
% 27.71/27.95 cnf(matrix-6715, plain, ( ( c_Transitive__Closure_Ortrancl(_u15757, c_Transitive__Closure_Ortrancl(_u15757, _u15758)) = c_Transitive__Closure_Ortrancl(_u15757, _u15758)) )).
% 27.71/27.95 cnf(matrix-6716, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15759, _u15759)), hAPP(hAPP(c_Product__Type_OPair(_u15759, _u15759), _u15760), _u15761)), c_Transitive__Closure_Ortrancl(_u15759, _u15762))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15759, _u15759)), hAPP(hAPP(c_Product__Type_OPair(_u15759, _u15759), _u15761), _u15763)), c_Transitive__Closure_Ortrancl(_u15759, _u15762))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15759, _u15759)), hAPP(hAPP(c_Product__Type_OPair(_u15759, _u15759), _u15760), _u15763)), c_Transitive__Closure_Ortrancl(_u15759, _u15762))) )).
% 27.71/27.95 cnf(matrix-6717, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15764, _u15764)), hAPP(hAPP(c_Product__Type_OPair(_u15764, _u15764), _u15765), _u15766)), c_Transitive__Closure_Ortrancl(_u15764, _u15767))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15764, _u15764)), hAPP(hAPP(c_Product__Type_OPair(_u15764, _u15764), _u15766), _u15768)), _u15767)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15764, _u15764)), hAPP(hAPP(c_Product__Type_OPair(_u15764, _u15764), _u15765), _u15768)), c_Transitive__Closure_Ortrancl(_u15764, _u15767))) )).
% 27.71/27.95 cnf(matrix-6718, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15769, _u15769)), hAPP(hAPP(c_Product__Type_OPair(_u15769, _u15769), _u15770), _u15771)), _u15772)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15769, _u15769)), hAPP(hAPP(c_Product__Type_OPair(_u15769, _u15769), _u15771), _u15773)), c_Transitive__Closure_Ortrancl(_u15769, _u15772))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15769, _u15769)), hAPP(hAPP(c_Product__Type_OPair(_u15769, _u15769), _u15770), _u15773)), c_Transitive__Closure_Ortrancl(_u15769, _u15772))) )).
% 27.71/27.95 cnf(matrix-6719, plain, ( ( c_Transitive__Closure_Ortrancl(_u15774, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15774, _u15774), tc_HOL_Obool)), _u15775), c_Relation_OId(_u15774))) = c_Transitive__Closure_Ortrancl(_u15774, _u15775)) )).
% 27.71/27.95 cnf(matrix-6720, plain, ( c_Relation_Orefl__on(_u15776, c_Orderings_Otop__class_Otop(tc_fun(_u15776, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15776, _u15777)) )).
% 27.71/27.95 cnf(matrix-6721, plain, ( ( hAPP(c_Relation_OImage(_u15778, _u15778, c_Relation_OId(_u15778)), _u15779) = _u15779) )).
% 27.71/27.95 cnf(matrix-6722, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15780, _u15781, _u15781), _u15782), c_Relation_OId(_u15781)) = _u15782) )).
% 27.71/27.95 cnf(matrix-6723, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15783, _u15783, _u15784), c_Relation_OId(_u15783)), _u15785) = _u15785) )).
% 27.71/27.95 cnf(matrix-6724, plain, ( ( _u15791 = _u15793) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15789, _u15789)), hAPP(hAPP(c_Product__Type_OPair(_u15789, _u15789), _u15791), _u15793)), c_Relation_OId(_u15789))) )).
% 27.71/27.95 cnf(matrix-6725, plain, ( ( _u15792 != _u15794) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15790, _u15790)), hAPP(hAPP(c_Product__Type_OPair(_u15790, _u15790), _u15792), _u15794)), c_Relation_OId(_u15790))) )).
% 27.71/27.95 cnf(matrix-6726, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15795, _u15795)), hAPP(hAPP(c_Product__Type_OPair(_u15795, _u15795), _u15796), _u15797)), c_Transitive__Closure_Ortrancl(_u15795, _u15798))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15795, _u15795)), hAPP(hAPP(c_Product__Type_OPair(_u15795, _u15795), _u15797), _u15799)), c_Transitive__Closure_Otrancl(_u15795, _u15798))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15795, _u15795)), hAPP(hAPP(c_Product__Type_OPair(_u15795, _u15795), _u15796), _u15799)), c_Transitive__Closure_Otrancl(_u15795, _u15798))) )).
% 27.71/27.95 cnf(matrix-6727, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15800, _u15800)), hAPP(hAPP(c_Product__Type_OPair(_u15800, _u15800), _u15801), _u15802)), c_Transitive__Closure_Otrancl(_u15800, _u15803))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15800, _u15800)), hAPP(hAPP(c_Product__Type_OPair(_u15800, _u15800), _u15802), _u15804)), c_Transitive__Closure_Ortrancl(_u15800, _u15803))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15800, _u15800)), hAPP(hAPP(c_Product__Type_OPair(_u15800, _u15800), _u15801), _u15804)), c_Transitive__Closure_Otrancl(_u15800, _u15803))) )).
% 27.71/27.95 cnf(matrix-6728, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15805, _u15805)), hAPP(hAPP(c_Product__Type_OPair(_u15805, _u15805), _u15806), _u15807)), c_Transitive__Closure_Ortrancl(_u15805, _u15808))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15805, _u15805)), hAPP(hAPP(c_Product__Type_OPair(_u15805, _u15805), _u15807), _u15809)), _u15808)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15805, _u15805)), hAPP(hAPP(c_Product__Type_OPair(_u15805, _u15805), _u15806), _u15809)), c_Transitive__Closure_Otrancl(_u15805, _u15808))) )).
% 27.71/27.95 cnf(matrix-6729, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15810, _u15810)), hAPP(hAPP(c_Product__Type_OPair(_u15810, _u15810), _u15811), _u15812)), c_Transitive__Closure_Ortrancl(_u15810, _u15813))) | ( _u15811 = _u15812) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15810, _u15810)), hAPP(hAPP(c_Product__Type_OPair(_u15810, _u15810), _u15811), _u15812)), c_Transitive__Closure_Otrancl(_u15810, _u15813))) )).
% 27.71/27.95 cnf(matrix-6730, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15814, _u15814)), hAPP(hAPP(c_Product__Type_OPair(_u15814, _u15814), _u15815), _u15816)), _u15817)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15814, _u15814)), hAPP(hAPP(c_Product__Type_OPair(_u15814, _u15814), _u15816), _u15818)), c_Transitive__Closure_Ortrancl(_u15814, _u15817))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15814, _u15814)), hAPP(hAPP(c_Product__Type_OPair(_u15814, _u15814), _u15815), _u15818)), c_Transitive__Closure_Otrancl(_u15814, _u15817))) )).
% 27.71/27.95 cnf(matrix-6731, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15823, _u15823)), hAPP(hAPP(c_Product__Type_OPair(_u15823, _u15823), _u15825), _u15827)), c_Transitive__Closure_Ortrancl(_u15823, _u15829))) | ( _u15825 = _u15827) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15823, _u15823)), hAPP(hAPP(c_Product__Type_OPair(_u15823, _u15823), _u15825), _u15827)), c_Transitive__Closure_Otrancl(_u15823, _u15829))) )).
% 27.71/27.95 cnf(matrix-6732, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15824, _u15824)), hAPP(hAPP(c_Product__Type_OPair(_u15824, _u15824), _u15826), _u15828)), c_Transitive__Closure_Ortrancl(_u15824, _u15830))) | ( _u15826 != _u15828) )).
% 27.71/27.95 cnf(matrix-6733, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15824, _u15824)), hAPP(hAPP(c_Product__Type_OPair(_u15824, _u15824), _u15826), _u15828)), c_Transitive__Closure_Ortrancl(_u15824, _u15830))) | ( _u15826 = _u15828) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15824, _u15824)), hAPP(hAPP(c_Product__Type_OPair(_u15824, _u15824), _u15826), _u15828)), c_Transitive__Closure_Otrancl(_u15824, _u15830))) )).
% 27.71/27.95 cnf(matrix-6734, plain, ( ( hAPP(c_Relation_ODomain(_u15831, _u15831), c_Relation_OId(_u15831)) = c_Orderings_Otop__class_Otop(tc_fun(_u15831, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6735, plain, ( ( hAPP(c_Relation_ORange(_u15832, _u15832), c_Relation_OId(_u15832)) = c_Orderings_Otop__class_Otop(tc_fun(_u15832, tc_HOL_Obool))) )).
% 27.71/27.95 cnf(matrix-6736, plain, ( c_Relation_Orefl__on(_u15833, c_Orderings_Otop__class_Otop(tc_fun(_u15833, tc_HOL_Obool)), c_Relation_OId(_u15833)) )).
% 27.71/27.95 cnf(matrix-6737, 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)))) )).
% 27.71/27.95 cnf(matrix-6738, plain, ( hBOOL(hAPP(hAPP(c_member(_u15834), _u15835), hAPP(c_Relation_ODomain(_u15834, _u15834), _u15836))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15834, _u15834)), hAPP(hAPP(c_Product__Type_OPair(_u15834, _u15834), _u15835), _u15837)), c_Transitive__Closure_Ortrancl(_u15834, _u15836))) | ( _u15835 = _u15837) )).
% 27.71/27.95 cnf(matrix-6739, plain, ( hBOOL(hAPP(hAPP(c_member(_u15834), _u15835), hAPP(c_Relation_ODomain(_u15834, _u15834), _u15836))) | ( _u15835 != _u15837) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15834, _u15834)), hAPP(hAPP(c_Product__Type_OPair(_u15834, _u15834), _u15835), _u15837)), c_Transitive__Closure_Ortrancl(_u15834, _u15836))) )).
% 27.71/27.95 cnf(matrix-6740, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15838, _u15838)), hAPP(hAPP(c_Product__Type_OPair(_u15838, _u15838), _u15839), _u15840)), c_Transitive__Closure_Ortrancl(_u15838, _u15841))) | ~hBOOL(hAPP(hAPP(c_member(_u15838), _u15840), c_Wellfounded_Oacc(_u15838, _u15841))) | hBOOL(hAPP(hAPP(c_member(_u15838), _u15839), c_Wellfounded_Oacc(_u15838, _u15841))) )).
% 27.71/27.95 cnf(matrix-6741, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15842), _u15843), c_Wellfounded_Oacc(_u15842, _u15844))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15842, _u15842)), hAPP(hAPP(c_Product__Type_OPair(_u15842, _u15842), _u15845), _u15843)), c_Transitive__Closure_Ortrancl(_u15842, _u15844))) | hBOOL(hAPP(hAPP(c_member(_u15842), _u15845), c_Wellfounded_Oacc(_u15842, _u15844))) )).
% 27.71/27.95 cnf(matrix-6742, plain, ( ~c_Wellfounded_Owf(_u15850, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15850, _u15850)), hAPP(hAPP(c_Product__Type_OPair(_u15850, _u15850), _u15852), _u15854)), _u15856)) | c_Wellfounded_Owf(_u15850, _u15856) )).
% 27.71/27.95 cnf(matrix-6743, plain, ( ~c_Wellfounded_Owf(_u15850, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15850, _u15850)), hAPP(hAPP(c_Product__Type_OPair(_u15850, _u15850), _u15852), _u15854)), _u15856)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15850, _u15850)), hAPP(hAPP(c_Product__Type_OPair(_u15850, _u15850), _u15854), _u15852)), c_Transitive__Closure_Ortrancl(_u15850, _u15856))) )).
% 27.71/27.95 cnf(matrix-6744, plain, ( ~c_Wellfounded_Owf(_u15851, _u15857) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15851, _u15851)), hAPP(hAPP(c_Product__Type_OPair(_u15851, _u15851), _u15855), _u15853)), c_Transitive__Closure_Ortrancl(_u15851, _u15857))) | c_Wellfounded_Owf(_u15851, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15851, _u15851)), hAPP(hAPP(c_Product__Type_OPair(_u15851, _u15851), _u15853), _u15855)), _u15857)) )).
% 27.71/27.95 cnf(matrix-6745, plain, ( ~c_Wellfounded_Oacyclic(_u15862, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15862, _u15862)), hAPP(hAPP(c_Product__Type_OPair(_u15862, _u15862), _u15864), _u15866)), _u15868)) | c_Wellfounded_Oacyclic(_u15862, _u15868) )).
% 27.71/27.95 cnf(matrix-6746, plain, ( ~c_Wellfounded_Oacyclic(_u15862, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15862, _u15862)), hAPP(hAPP(c_Product__Type_OPair(_u15862, _u15862), _u15864), _u15866)), _u15868)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15862, _u15862)), hAPP(hAPP(c_Product__Type_OPair(_u15862, _u15862), _u15866), _u15864)), c_Transitive__Closure_Ortrancl(_u15862, _u15868))) )).
% 27.71/27.95 cnf(matrix-6747, plain, ( ~c_Wellfounded_Oacyclic(_u15863, _u15869) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15863, _u15863)), hAPP(hAPP(c_Product__Type_OPair(_u15863, _u15863), _u15867), _u15865)), c_Transitive__Closure_Ortrancl(_u15863, _u15869))) | c_Wellfounded_Oacyclic(_u15863, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15863, _u15863)), hAPP(hAPP(c_Product__Type_OPair(_u15863, _u15863), _u15865), _u15867)), _u15869)) )).
% 27.71/27.95 cnf(matrix-6748, plain, ( c_Relation_Orefl__on(_u15870, c_Orderings_Otop__class_Otop(tc_fun(_u15870, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15870, _u15870), tc_HOL_Obool)), _u15871), c_Relation_OId(_u15870))) )).
% 27.71/27.95 cnf(matrix-6749, plain, ( ( c_Relation_OId(_u15872) = hAPP(c_Set_OCollect(tc_prod(_u15872, _u15872)), hAPP(hAPP(c_COMBB(tc_fun(_u15872, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15872, _u15872)), c_HOL_OEx(_u15872)), hAPP(hAPP(c_COMBC(tc_prod(_u15872, _u15872), tc_fun(_u15872, tc_prod(_u15872, _u15872)), tc_fun(_u15872, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15872, _u15872), tc_HOL_Obool), tc_fun(tc_fun(_u15872, tc_prod(_u15872, _u15872)), tc_fun(_u15872, tc_HOL_Obool)), tc_prod(_u15872, _u15872)), c_COMBB(tc_prod(_u15872, _u15872), tc_HOL_Obool, _u15872)), c_fequal)), hAPP(hAPP(c_COMBS(_u15872, _u15872, tc_prod(_u15872, _u15872)), c_Product__Type_OPair(_u15872, _u15872)), c_COMBI(_u15872)))))) )).
% 27.71/27.95 cnf(matrix-6750, plain, ( c_Relation_Oirrefl(_u15873, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u15873, _u15873), tc_HOL_Obool)), _u15874), c_Relation_OId(_u15873))) )).
% 27.71/27.95 cnf(matrix-6751, 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), _u15877), _u15879)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15877), _u15879)) )).
% 27.71/27.95 cnf(matrix-6752, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15878), _u15880)) | 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), _u15878), _u15880)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 27.71/27.95 cnf(matrix-6753, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15881, _u15881)), hAPP(hAPP(c_Product__Type_OPair(_u15881, _u15881), _u15882), _u15883)), c_Transitive__Closure_Ortrancl(_u15881, _u15884))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15881, _u15881), tc_HOL_Obool)), _u15884), hAPP(hAPP(c_Product__Type_OSigma(_u15881, _u15881), _u15885), hAPP(c_COMBK(tc_fun(_u15881, tc_HOL_Obool), _u15881), _u15885)))) | ( _u15882 = _u15883) | hBOOL(hAPP(hAPP(c_member(_u15881), _u15882), _u15885)) )).
% 27.71/27.95 cnf(matrix-6754, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15886, _u15886), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15886, _u15886), _u15887)), c_Transitive__Closure_Ortrancl(_u15886, _u15887)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15886, _u15886), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15886, _u15886)), hAPP(hAPP(c_Product__Type_OPair(_u15886, _u15886), _u15888), _u15888)), c_Transitive__Closure_Otrancl(_u15886, _u15887))) )).
% 27.71/27.95 cnf(matrix-6755, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15890, _u15890)), hAPP(hAPP(c_Product__Type_OPair(_u15890, _u15890), hAPP(_u15891, hAPP(c_Nat_OSuc, skolem378(_u15894, _u15893, _u15892, _u15891, _u15890)))), hAPP(_u15891, skolem378(_u15894, _u15893, _u15892, _u15891, _u15890)))), c_Transitive__Closure_Ortrancl(_u15890, _u15892))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15890, _u15890)), hAPP(hAPP(c_Product__Type_OPair(_u15890, _u15890), hAPP(_u15891, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15893), _u15894))), hAPP(_u15891, _u15893))), c_Transitive__Closure_Ortrancl(_u15890, _u15892))) )).
% 27.71/27.95 cnf(matrix-6756, plain, ( ( c_Transitive__Closure_Ortrancl(_u15895, hAPP(c_Relation_Oconverse(_u15895, _u15895), _u15896)) = hAPP(c_Relation_Oconverse(_u15895, _u15895), c_Transitive__Closure_Ortrancl(_u15895, _u15896))) )).
% 27.71/27.95 cnf(matrix-6757, plain, ( ( hAPP(c_Relation_Oconverse(_u15897, _u15897), c_Relation_OId(_u15897)) = c_Relation_OId(_u15897)) )).
% 27.71/27.95 cnf(matrix-6758, plain, ( ~c_Wellfounded_Oacyclic(_u15900, hAPP(c_Relation_Oconverse(_u15900, _u15900), _u15902)) | c_Wellfounded_Oacyclic(_u15900, _u15902) )).
% 27.71/27.95 cnf(matrix-6759, plain, ( ~c_Wellfounded_Oacyclic(_u15901, _u15903) | c_Wellfounded_Oacyclic(_u15901, hAPP(c_Relation_Oconverse(_u15901, _u15901), _u15903)) )).
% 27.71/27.95 cnf(matrix-6760, plain, ( ( hAPP(c_Relation_Oconverse(_u15904, _u15905), hAPP(hAPP(c_Relation_Orel__comp(_u15904, _u15906, _u15905), _u15907), _u15908)) = hAPP(hAPP(c_Relation_Orel__comp(_u15905, _u15906, _u15904), hAPP(c_Relation_Oconverse(_u15906, _u15905), _u15908)), hAPP(c_Relation_Oconverse(_u15904, _u15906), _u15907))) )).
% 27.71/27.95 cnf(matrix-6761, plain, ( ( hAPP(c_Relation_Oconverse(_u15909, _u15910), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15909, _u15910), tc_HOL_Obool)), _u15911), _u15912)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15910, _u15909), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15909, _u15910), _u15911)), hAPP(c_Relation_Oconverse(_u15909, _u15910), _u15912))) )).
% 27.71/27.95 cnf(matrix-6762, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15916, _u15918)), hAPP(c_Relation_Oconverse(_u15918, _u15916), _u15920))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15918, _u15916)), _u15920)) )).
% 27.71/27.95 cnf(matrix-6763, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15919, _u15917)), _u15921)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15917, _u15919)), hAPP(c_Relation_Oconverse(_u15919, _u15917), _u15921))) )).
% 27.71/27.95 cnf(matrix-6764, plain, ( ( hAPP(c_Relation_Oconverse(_u15922, _u15923), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15922, _u15923), tc_HOL_Obool)), _u15924), _u15925)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15923, _u15922), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15922, _u15923), _u15924)), hAPP(c_Relation_Oconverse(_u15922, _u15923), _u15925))) )).
% 27.71/27.95 cnf(matrix-6765, plain, ( ( hAPP(c_Relation_Oconverse(_u15926, _u15927), hAPP(c_Relation_Oconverse(_u15927, _u15926), _u15928)) = _u15928) )).
% 27.71/27.95 cnf(matrix-6766, plain, ( ( hAPP(c_Relation_Oconverse(_u15929, _u15929), c_Relation_OId__on(_u15929, _u15930)) = c_Relation_OId__on(_u15929, _u15930)) )).
% 27.71/27.95 cnf(matrix-6767, plain, ( ( hAPP(c_Relation_OField(_u15931), hAPP(c_Relation_Oconverse(_u15931, _u15931), _u15932)) = hAPP(c_Relation_OField(_u15931), _u15932)) )).
% 27.71/27.95 cnf(matrix-6768, plain, ( ( hAPP(c_Relation_Oconverse(_u15933, _u15933), hAPP(hAPP(c_Relation_Oinv__image(_u15934, _u15933), _u15935), _u15936)) = hAPP(hAPP(c_Relation_Oinv__image(_u15934, _u15933), hAPP(c_Relation_Oconverse(_u15934, _u15934), _u15935)), _u15936)) )).
% 27.71/27.95 cnf(matrix-6769, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15937, _u15938)), hAPP(hAPP(c_Product__Type_OPair(_u15937, _u15938), _u15939), _u15940)), hAPP(c_Relation_Oconverse(_u15938, _u15937), _u15941))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15938, _u15937)), hAPP(hAPP(c_Product__Type_OPair(_u15938, _u15937), _u15940), _u15939)), _u15941)) )).
% 27.71/27.95 cnf(matrix-6770, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15942, _u15943)), hAPP(hAPP(c_Product__Type_OPair(_u15942, _u15943), _u15944), _u15945)), _u15946)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15943, _u15942)), hAPP(hAPP(c_Product__Type_OPair(_u15943, _u15942), _u15945), _u15944)), hAPP(c_Relation_Oconverse(_u15942, _u15943), _u15946))) )).
% 27.71/27.95 cnf(matrix-6771, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15952, _u15954)), hAPP(hAPP(c_Product__Type_OPair(_u15952, _u15954), _u15956), _u15958)), hAPP(c_Relation_Oconverse(_u15954, _u15952), _u15960))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15954, _u15952)), hAPP(hAPP(c_Product__Type_OPair(_u15954, _u15952), _u15958), _u15956)), _u15960)) )).
% 27.71/27.95 cnf(matrix-6772, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15955, _u15953)), hAPP(hAPP(c_Product__Type_OPair(_u15955, _u15953), _u15959), _u15957)), _u15961)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15953, _u15955)), hAPP(hAPP(c_Product__Type_OPair(_u15953, _u15955), _u15957), _u15959)), hAPP(c_Relation_Oconverse(_u15955, _u15953), _u15961))) )).
% 27.71/27.95 cnf(matrix-6773, plain, ( ~c_Relation_Orefl__on(_u15965, _u15967, hAPP(c_Relation_Oconverse(_u15965, _u15965), _u15969)) | c_Relation_Orefl__on(_u15965, _u15967, _u15969) )).
% 27.71/27.95 cnf(matrix-6774, plain, ( ~c_Relation_Orefl__on(_u15966, _u15968, _u15970) | c_Relation_Orefl__on(_u15966, _u15968, hAPP(c_Relation_Oconverse(_u15966, _u15966), _u15970)) )).
% 27.71/27.95 cnf(matrix-6775, plain, ( ( hAPP(c_Relation_Oconverse(_u15971, _u15972), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15973, tc_fun(tc_prod(_u15971, _u15972), tc_HOL_Obool)), _u15974), _u15975)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15973, tc_fun(tc_prod(_u15972, _u15971), tc_HOL_Obool)), _u15974), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15971, _u15972), tc_HOL_Obool), tc_fun(tc_prod(_u15972, _u15971), tc_HOL_Obool), _u15973), c_Relation_Oconverse(_u15971, _u15972)), _u15975))) )).
% 27.71/27.95 cnf(matrix-6776, plain, ( ~c_Equiv__Relations_Oequiv(_u15976, _u15977, _u15978) | ( hAPP(hAPP(c_Relation_Orel__comp(_u15976, _u15976, _u15976), hAPP(c_Relation_Oconverse(_u15976, _u15976), _u15978)), _u15978) = _u15978) )).
% 27.71/27.95 cnf(matrix-6777, plain, ( ( hAPP(c_Relation_ORange(_u15979, _u15980), hAPP(c_Relation_Oconverse(_u15980, _u15979), _u15981)) = hAPP(c_Relation_ODomain(_u15980, _u15979), _u15981)) )).
% 27.71/27.95 cnf(matrix-6778, plain, ( ( hAPP(c_Relation_ODomain(_u15982, _u15983), hAPP(c_Relation_Oconverse(_u15983, _u15982), _u15984)) = hAPP(c_Relation_ORange(_u15983, _u15982), _u15984)) )).
% 27.71/27.95 cnf(matrix-6779, plain, ( ( hAPP(c_Relation_ORange(_u15985, _u15986), _u15987) = hAPP(c_Relation_ODomain(_u15986, _u15985), hAPP(c_Relation_Oconverse(_u15985, _u15986), _u15987))) )).
% 27.71/27.95 cnf(matrix-6780, plain, ( ( c_Transitive__Closure_Otrancl(_u15988, hAPP(c_Relation_Oconverse(_u15988, _u15988), _u15989)) = hAPP(c_Relation_Oconverse(_u15988, _u15988), c_Transitive__Closure_Otrancl(_u15988, _u15989))) )).
% 27.71/27.95 cnf(matrix-6781, plain, ( ~c_Wellfounded_Owf(_u15990, hAPP(c_Relation_Oconverse(_u15990, _u15990), _u15991)) | c_Wellfounded_Owf(_u15990, hAPP(c_Relation_Oconverse(_u15990, _u15990), c_Transitive__Closure_Otrancl(_u15990, _u15991))) )).
% 27.71/27.95 cnf(matrix-6782, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15992, _u15992)), hAPP(hAPP(c_Product__Type_OPair(_u15992, _u15992), _u15993), _u15994)), c_Transitive__Closure_Ortrancl(_u15992, _u15995))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15992, _u15992)), hAPP(hAPP(c_Product__Type_OPair(_u15992, _u15992), _u15994), _u15993)), c_Transitive__Closure_Ortrancl(_u15992, hAPP(c_Relation_Oconverse(_u15992, _u15992), _u15995)))) )).
% 27.71/27.96 cnf(matrix-6783, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15996, _u15996)), hAPP(hAPP(c_Product__Type_OPair(_u15996, _u15996), _u15997), _u15998)), c_Transitive__Closure_Ortrancl(_u15996, hAPP(c_Relation_Oconverse(_u15996, _u15996), _u15999)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15996, _u15996)), hAPP(hAPP(c_Product__Type_OPair(_u15996, _u15996), _u15998), _u15997)), c_Transitive__Closure_Ortrancl(_u15996, _u15999))) )).
% 27.71/27.96 cnf(matrix-6784, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16000, _u16000)), hAPP(hAPP(c_Product__Type_OPair(_u16000, _u16000), _u16001), _u16002)), hAPP(c_Relation_Oconverse(_u16000, _u16000), c_Transitive__Closure_Otrancl(_u16000, _u16003)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16000, _u16000)), hAPP(hAPP(c_Product__Type_OPair(_u16000, _u16000), _u16001), _u16002)), c_Transitive__Closure_Otrancl(_u16000, hAPP(c_Relation_Oconverse(_u16000, _u16000), _u16003)))) )).
% 27.71/27.96 cnf(matrix-6785, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16004, _u16004)), hAPP(hAPP(c_Product__Type_OPair(_u16004, _u16004), _u16005), _u16006)), c_Transitive__Closure_Otrancl(_u16004, hAPP(c_Relation_Oconverse(_u16004, _u16004), _u16007)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16004, _u16004)), hAPP(hAPP(c_Product__Type_OPair(_u16004, _u16004), _u16005), _u16006)), hAPP(c_Relation_Oconverse(_u16004, _u16004), c_Transitive__Closure_Otrancl(_u16004, _u16007)))) )).
% 27.71/27.96 cnf(matrix-6786, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16013, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16015, _u16013, _u16017), _u16019)), _u16021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16015, tc_HOL_Obool)), _u16019), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16015, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16013, _u16015, hAPP(c_Relation_Oconverse(_u16015, _u16013), _u16017)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16013, tc_HOL_Obool)), _u16021))))) )).
% 27.71/27.96 cnf(matrix-6787, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16016, tc_HOL_Obool)), _u16020), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16016, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16014, _u16016, hAPP(c_Relation_Oconverse(_u16016, _u16014), _u16018)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16014, tc_HOL_Obool)), _u16022))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16014, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16016, _u16014, _u16018), _u16020)), _u16022)) )).
% 27.71/27.96 cnf(matrix-6788, plain, ( ~c_Relation_Orefl__on(_u16023, _u16024, _u16025) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16023, _u16023), tc_HOL_Obool)), _u16025), hAPP(hAPP(c_Relation_Orel__comp(_u16023, _u16023, _u16023), hAPP(c_Relation_Oconverse(_u16023, _u16023), _u16025)), _u16025))) )).
% 27.71/27.96 cnf(matrix-6789, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u16026, _u16026, _u16026), hAPP(c_Relation_Oconverse(_u16026, _u16026), _u16027)), _u16027) != _u16027) | ( hAPP(c_Relation_ODomain(_u16026, _u16026), _u16027) != _u16028) | c_Equiv__Relations_Oequiv(_u16026, _u16028, _u16027) )).
% 27.71/27.96 cnf(matrix-6790, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16029, _u16029)), _u16030)) | ~c_Wellfounded_Oacyclic(_u16029, _u16030) | c_Wellfounded_Owf(_u16029, hAPP(c_Relation_Oconverse(_u16029, _u16029), _u16030)) )).
% 27.71/27.96 cnf(matrix-6791, plain, ( ( hAPP(c_Relation_Oconverse(_u16031, _u16032), _u16033) = hAPP(c_Set_OCollect(tc_prod(_u16032, _u16031)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16032, _u16031, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16032, tc_fun(tc_prod(_u16031, _u16032), tc_HOL_Obool), tc_fun(_u16031, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16031, tc_fun(tc_fun(tc_prod(_u16031, _u16032), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16031, _u16032), tc_HOL_Obool), tc_fun(_u16031, tc_HOL_Obool)), _u16032), c_COMBC(_u16031, tc_fun(tc_prod(_u16031, _u16032), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16031, tc_prod(_u16031, _u16032)), tc_fun(_u16031, tc_fun(tc_fun(tc_prod(_u16031, _u16032), tc_HOL_Obool), tc_HOL_Obool)), _u16032), hAPP(c_COMBB(tc_prod(_u16031, _u16032), tc_fun(tc_fun(tc_prod(_u16031, _u16032), tc_HOL_Obool), tc_HOL_Obool), _u16031), c_member(tc_prod(_u16031, _u16032)))), hAPP(c_COMBC(_u16031, _u16032, tc_prod(_u16031, _u16032)), c_Product__Type_OPair(_u16031, _u16032))))), _u16033)))) )).
% 27.71/27.96 cnf(matrix-6792, plain, ( ~c_Relation_Ototal__on(_u16037, _u16039, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16037, _u16037), tc_HOL_Obool)), _u16041), c_Relation_OId(_u16037))) | c_Relation_Ototal__on(_u16037, _u16039, _u16041) )).
% 27.71/27.96 cnf(matrix-6793, plain, ( ~c_Relation_Ototal__on(_u16038, _u16040, _u16042) | c_Relation_Ototal__on(_u16038, _u16040, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16038, _u16038), tc_HOL_Obool)), _u16042), c_Relation_OId(_u16038))) )).
% 27.71/27.96 cnf(matrix-6794, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16043, _u16043)), _u16044), c_Transitive__Closure_Ortrancl(_u16043, _u16045))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16043, _u16043)), _u16044), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u16043, _u16043), 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(_u16043, _u16043), tc_HOL_Obool), tc_fun(tc_prod(_u16043, _u16043), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u16043, _u16043), tc_HOL_Obool)), _u16045)))) )).
% 27.71/27.96 cnf(matrix-6795, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16046, _u16046), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16047) = c_Relation_OId(_u16046)) )).
% 27.71/27.96 cnf(matrix-6796, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16053, _u16053)), _u16055), c_Transitive__Closure_Ortrancl(_u16053, _u16057))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16053, _u16053)), _u16055), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16053, _u16053), tc_HOL_Obool), skolem379(_u16057, _u16055, _u16053)), _u16057))) )).
% 27.71/27.96 cnf(matrix-6797, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16054, _u16054)), _u16056), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16054, _u16054), tc_HOL_Obool), _u16049), _u16058))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16054, _u16054)), _u16056), c_Transitive__Closure_Ortrancl(_u16054, _u16058))) )).
% 27.71/27.96 cnf(matrix-6798, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16059, _u16059)), _u16060), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16059, _u16059), tc_HOL_Obool), _u16061), _u16062))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16059, _u16059)), _u16060), c_Transitive__Closure_Ortrancl(_u16059, _u16062))) )).
% 27.71/27.96 cnf(matrix-6799, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u16063, _u16063, _u16063), _u16064), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16063, _u16063), tc_HOL_Obool), _u16065), _u16064)) = hAPP(hAPP(c_Relation_Orel__comp(_u16063, _u16063, _u16063), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16063, _u16063), tc_HOL_Obool), _u16065), _u16064)), _u16064)) )).
% 27.71/27.96 cnf(matrix-6800, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16066, _u16066), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16067)), _u16068) = hAPP(hAPP(c_Relation_Orel__comp(_u16066, _u16066, _u16066), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16066, _u16066), tc_HOL_Obool), _u16067), _u16068)), _u16068)) )).
% 27.71/27.96 cnf(matrix-6801, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16069, _u16069), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16070), _u16071)), _u16072) = hAPP(hAPP(c_Relation_Orel__comp(_u16069, _u16069, _u16069), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16069, _u16069), tc_HOL_Obool), _u16070), _u16072)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16069, _u16069), tc_HOL_Obool), _u16071), _u16072))) )).
% 27.71/27.96 cnf(matrix-6802, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16073, _u16073), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u16074) = _u16074) )).
% 27.71/27.96 cnf(matrix-6803, plain, ( ~c_Wellfounded_Owf(_u16075, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16075, _u16075), tc_HOL_Obool), _u16076), _u16077)) | c_Wellfounded_Owf(_u16075, _u16077) )).
% 27.71/27.96 cnf(matrix-6804, plain, ( ( hAPP(_u16078, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u16079, _u16079), _u16080), _u16078), _u16081)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u16079, _u16079), _u16080), _u16078), hAPP(_u16078, _u16081))) )).
% 27.71/27.96 cnf(matrix-6805, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16082, _u16082), _u16083), hAPP(hAPP(c_Nat_Ocompow(_u16082, _u16082), _u16084), _u16085)) = hAPP(hAPP(c_Nat_Ocompow(_u16082, _u16082), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16084), _u16083)), _u16085)) )).
% 27.71/27.96 cnf(matrix-6806, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u16086, _u16087), tc_fun(_u16086, _u16087)), _u16088), c_Fun_Ocomp(_u16087, _u16087, _u16086, _u16089)) = c_Fun_Ocomp(_u16087, _u16087, _u16086, hAPP(hAPP(c_Nat_Ocompow(_u16087, _u16087), _u16088), _u16089))) )).
% 27.71/27.96 cnf(matrix-6807, plain, ( c_Relation_Ototal__on(_u16090, c_Orderings_Obot__class_Obot(tc_fun(_u16090, tc_HOL_Obool)), _u16091) )).
% 27.71/27.96 cnf(matrix-6808, plain, ( ~c_Relation_Ototal__on(_u16095, _u16097, hAPP(c_Relation_Oconverse(_u16095, _u16095), _u16099)) | c_Relation_Ototal__on(_u16095, _u16097, _u16099) )).
% 27.71/27.96 cnf(matrix-6809, plain, ( ~c_Relation_Ototal__on(_u16096, _u16098, _u16100) | c_Relation_Ototal__on(_u16096, _u16098, hAPP(c_Relation_Oconverse(_u16096, _u16096), _u16100)) )).
% 27.71/27.96 cnf(matrix-6810, plain, ( ( _u16102 = _u16103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16101, _u16101)), hAPP(hAPP(c_Product__Type_OPair(_u16101, _u16101), _u16102), _u16103)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16101, _u16101), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16104))) )).
% 27.71/27.96 cnf(matrix-6811, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u16105, _u16105)), hAPP(hAPP(c_Product__Type_OPair(_u16105, _u16105), _u16106), _u16106)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16105, _u16105), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16107))) )).
% 27.71/27.96 cnf(matrix-6812, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16108, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16108, _u16108), _u16109), _u16110)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16108, _u16108), tc_HOL_Obool), _u16111), _u16112))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16108, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16108, _u16108), _u16110), _u16113)), _u16112)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16108, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16108, _u16108), _u16109), _u16113)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16108, _u16108), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16111)), _u16112))) )).
% 27.71/27.96 cnf(matrix-6813, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16114, _u16114)), hAPP(hAPP(c_Product__Type_OPair(_u16114, _u16114), _u16115), _u16116)), _u16117)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16114, _u16114)), hAPP(hAPP(c_Product__Type_OPair(_u16114, _u16114), _u16116), _u16118)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16114, _u16114), tc_HOL_Obool), _u16119), _u16117))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16114, _u16114)), hAPP(hAPP(c_Product__Type_OPair(_u16114, _u16114), _u16115), _u16118)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16114, _u16114), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16119)), _u16117))) )).
% 27.71/27.96 cnf(matrix-6814, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16120, _u16120), hAPP(c_Nat_OSuc, _u16121)), _u16122) = hAPP(c_Fun_Ocomp(_u16120, _u16120, _u16120, _u16122), hAPP(hAPP(c_Nat_Ocompow(_u16120, _u16120), _u16121), _u16122))) )).
% 27.71/27.96 cnf(matrix-6815, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16123, _u16123), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16124), _u16125)), _u16126) = hAPP(c_Fun_Ocomp(_u16123, _u16123, _u16123, hAPP(hAPP(c_Nat_Ocompow(_u16123, _u16123), _u16124), _u16126)), hAPP(hAPP(c_Nat_Ocompow(_u16123, _u16123), _u16125), _u16126))) )).
% 27.71/27.96 cnf(matrix-6816, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16127, _u16127), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16128) = c_Fun_Oid(_u16127)) )).
% 27.71/27.96 cnf(matrix-6817, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16134, _u16134)), _u16136), c_Transitive__Closure_Otrancl(_u16134, _u16138))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem380(_u16138, _u16136, _u16134))) )).
% 27.71/27.96 cnf(matrix-6818, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16134, _u16134)), _u16136), c_Transitive__Closure_Otrancl(_u16134, _u16138))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16134, _u16134)), _u16136), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16134, _u16134), tc_HOL_Obool), skolem380(_u16138, _u16136, _u16134)), _u16138))) )).
% 27.71/27.96 cnf(matrix-6819, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16130)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16135, _u16135)), _u16137), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16135, _u16135), tc_HOL_Obool), _u16130), _u16139))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16135, _u16135)), _u16137), c_Transitive__Closure_Otrancl(_u16135, _u16139))) )).
% 27.71/27.96 cnf(matrix-6820, plain, ( ~c_Relation_Ototal__on(_u16147, _u16149, _u16151) | ~hBOOL(hAPP(hAPP(c_member(_u16147), _u16141), _u16149)) | ~hBOOL(hAPP(hAPP(c_member(_u16147), _u16140), _u16149)) | ( _u16141 = _u16140) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16147, _u16147)), hAPP(hAPP(c_Product__Type_OPair(_u16147, _u16147), _u16141), _u16140)), _u16151)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16147, _u16147)), hAPP(hAPP(c_Product__Type_OPair(_u16147, _u16147), _u16140), _u16141)), _u16151)) )).
% 27.71/27.96 cnf(matrix-6821, plain, ( c_Relation_Ototal__on(_u16148, _u16150, _u16152) | hBOOL(hAPP(hAPP(c_member(_u16148), skolem381(_u16152, _u16150, _u16148)), _u16150)) )).
% 27.71/27.96 cnf(matrix-6822, plain, ( c_Relation_Ototal__on(_u16148, _u16150, _u16152) | hBOOL(hAPP(hAPP(c_member(_u16148), skolem382(_u16152, _u16150, _u16148)), _u16150)) )).
% 27.71/27.96 cnf(matrix-6823, plain, ( c_Relation_Ototal__on(_u16148, _u16150, _u16152) | ( skolem381(_u16152, _u16150, _u16148) != skolem382(_u16152, _u16150, _u16148)) )).
% 27.71/27.96 cnf(matrix-6824, plain, ( c_Relation_Ototal__on(_u16148, _u16150, _u16152) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16148, _u16148)), hAPP(hAPP(c_Product__Type_OPair(_u16148, _u16148), skolem381(_u16152, _u16150, _u16148)), skolem382(_u16152, _u16150, _u16148))), _u16152)) )).
% 27.71/27.96 cnf(matrix-6825, plain, ( c_Relation_Ototal__on(_u16148, _u16150, _u16152) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16148, _u16148)), hAPP(hAPP(c_Product__Type_OPair(_u16148, _u16148), skolem382(_u16152, _u16150, _u16148)), skolem381(_u16152, _u16150, _u16148))), _u16152)) )).
% 27.71/27.96 cnf(matrix-6826, plain, ( ( c_Transitive__Closure_Ortrancl(_u16153, _u16154) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u16153, _u16153), 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(_u16153, _u16153), tc_HOL_Obool), tc_fun(tc_prod(_u16153, _u16153), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u16153, _u16153), tc_HOL_Obool)), _u16154))) )).
% 27.71/27.96 cnf(matrix-6827, plain, ( ( c_Nat_Ofunpow(_u16155) = c_Nat_Ocompow(_u16155, _u16155)) )).
% 27.71/27.96 cnf(matrix-6828, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), _u16160)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), _u16161), _u16162))) | ( _u16161 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16161 = hAPP(c_Nat_OSuc, skolem384(_u16162, _u16161, _u16160, _u16159, _u16158))) )).
% 27.71/27.96 cnf(matrix-6829, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), _u16160)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), _u16161), _u16162))) | ( _u16161 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), skolem383(_u16162, _u16161, _u16160, _u16159, _u16158))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), skolem384(_u16162, _u16161, _u16160, _u16159, _u16158)), _u16162))) )).
% 27.71/27.96 cnf(matrix-6830, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), _u16160)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), _u16161), _u16162))) | ( _u16161 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), skolem383(_u16162, _u16161, _u16160, _u16159, _u16158)), _u16160)), _u16162)) )).
% 27.71/27.96 cnf(matrix-6831, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), _u16160)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), _u16161), _u16162))) | ( _u16159 = _u16160) | ( _u16161 = hAPP(c_Nat_OSuc, skolem384(_u16162, _u16161, _u16160, _u16159, _u16158))) )).
% 27.71/27.96 cnf(matrix-6832, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), _u16160)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), _u16161), _u16162))) | ( _u16159 = _u16160) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), skolem383(_u16162, _u16161, _u16160, _u16159, _u16158))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), skolem384(_u16162, _u16161, _u16160, _u16159, _u16158)), _u16162))) )).
% 27.71/27.96 cnf(matrix-6833, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), _u16159), _u16160)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16158, _u16158), tc_HOL_Obool), _u16161), _u16162))) | ( _u16159 = _u16160) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16158, _u16158)), hAPP(hAPP(c_Product__Type_OPair(_u16158, _u16158), skolem383(_u16162, _u16161, _u16160, _u16159, _u16158)), _u16160)), _u16162)) )).
% 27.71/27.96 cnf(matrix-6834, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), _u16168), _u16169))) | ( _u16168 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16168 = hAPP(c_Nat_OSuc, skolem386(_u16169, _u16168, _u16167, _u16166, _u16165))) )).
% 27.71/27.96 cnf(matrix-6835, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), _u16168), _u16169))) | ( _u16168 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), skolem385(_u16169, _u16168, _u16167, _u16166, _u16165))), _u16169)) )).
% 27.71/27.96 cnf(matrix-6836, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), _u16168), _u16169))) | ( _u16168 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), skolem385(_u16169, _u16168, _u16167, _u16166, _u16165)), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), skolem386(_u16169, _u16168, _u16167, _u16166, _u16165)), _u16169))) )).
% 27.71/27.96 cnf(matrix-6837, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), _u16168), _u16169))) | ( _u16166 = _u16167) | ( _u16168 = hAPP(c_Nat_OSuc, skolem386(_u16169, _u16168, _u16167, _u16166, _u16165))) )).
% 27.71/27.96 cnf(matrix-6838, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), _u16168), _u16169))) | ( _u16166 = _u16167) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), skolem385(_u16169, _u16168, _u16167, _u16166, _u16165))), _u16169)) )).
% 27.71/27.96 cnf(matrix-6839, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), _u16166), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), _u16168), _u16169))) | ( _u16166 = _u16167) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16165, _u16165)), hAPP(hAPP(c_Product__Type_OPair(_u16165, _u16165), skolem385(_u16169, _u16168, _u16167, _u16166, _u16165)), _u16167)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16165, _u16165), tc_HOL_Obool), skolem386(_u16169, _u16168, _u16167, _u16166, _u16165)), _u16169))) )).
% 27.71/27.96 cnf(matrix-6840, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u16171, _u16171)), hAPP(hAPP(c_Product__Type_OPair(_u16171, _u16171), skolem387(_u16172, _u16171)), skolem387(_u16172, _u16171))), c_Transitive__Closure_Otrancl(_u16171, _u16172))) | c_Wellfounded_Oacyclic(_u16171, _u16172) )).
% 27.71/27.96 cnf(matrix-6841, plain, ( ~c_Relation_Osingle__valued(_u16173, _u16174, hAPP(c_Relation_Oconverse(_u16174, _u16173), _u16175)) | ( hAPP(c_Relation_OImage(_u16174, _u16173, _u16175), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16174, tc_HOL_Obool)), _u16176), _u16177)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16173, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16174, _u16173, _u16175), _u16176)), hAPP(c_Relation_OImage(_u16174, _u16173, _u16175), _u16177))) )).
% 27.71/27.96 cnf(matrix-6842, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), _u16181), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16180, _u16180), tc_HOL_Obool)), _u16183), _u16184)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), _u16181), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, _u16183))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), skolem388(_u16184, _u16183, _u16182, _u16181, _u16180)), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, _u16183))) )).
% 27.71/27.96 cnf(matrix-6843, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), _u16181), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16180, _u16180), tc_HOL_Obool)), _u16183), _u16184)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), _u16181), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, _u16183))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), skolem389(_u16184, _u16183, _u16182, _u16181, _u16180)), skolem388(_u16184, _u16183, _u16182, _u16181, _u16180))), _u16184)) )).
% 27.71/27.96 cnf(matrix-6844, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), _u16181), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16180, _u16180), tc_HOL_Obool)), _u16183), _u16184)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16180, _u16180)), hAPP(hAPP(c_Product__Type_OPair(_u16180, _u16180), _u16181), _u16182)), c_Transitive__Closure_Ortrancl(_u16180, _u16183))) | ( skolem389(_u16184, _u16183, _u16182, _u16181, _u16180) != skolem388(_u16184, _u16183, _u16182, _u16181, _u16180)) )).
% 27.71/27.96 cnf(matrix-6845, plain, ( ~c_Relation_Osingle__valued(_u16185, _u16186, _u16187) | ~c_Relation_Osingle__valued(_u16186, _u16188, _u16189) | c_Relation_Osingle__valued(_u16185, _u16188, hAPP(hAPP(c_Relation_Orel__comp(_u16185, _u16186, _u16188), _u16187), _u16189)) )).
% 27.71/27.96 cnf(matrix-6846, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16190, _u16191), tc_HOL_Obool)), _u16192), _u16193)) | ~c_Relation_Osingle__valued(_u16190, _u16191, _u16193) | c_Relation_Osingle__valued(_u16190, _u16191, _u16192) )).
% 27.71/27.96 cnf(matrix-6847, plain, ( c_Relation_Osingle__valued(_u16194, _u16194, c_Relation_OId__on(_u16194, _u16195)) )).
% 27.71/27.96 cnf(matrix-6848, plain, ( c_Relation_Osingle__valued(_u16196, _u16196, c_Relation_OId(_u16196)) )).
% 27.71/27.96 cnf(matrix-6849, plain, ( ~c_Relation_Osingle__valued(_u16197, _u16197, _u16198) | c_Relation_Osingle__valued(_u16197, _u16197, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16197, _u16197), tc_HOL_Obool), _u16199), _u16198)) )).
% 27.71/27.96 cnf(matrix-6850, plain, ( ~c_Relation_Osingle__valued(_u16209, _u16211, _u16213) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16209, _u16211)), hAPP(hAPP(c_Product__Type_OPair(_u16209, _u16211), _u16202), _u16201)), _u16213)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16209, _u16211)), hAPP(hAPP(c_Product__Type_OPair(_u16209, _u16211), _u16202), _u16200)), _u16213)) | ( _u16201 = _u16200) )).
% 27.71/27.96 cnf(matrix-6851, plain, ( c_Relation_Osingle__valued(_u16210, _u16212, _u16214) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16210, _u16212)), hAPP(hAPP(c_Product__Type_OPair(_u16210, _u16212), skolem390(_u16214, _u16212, _u16210)), skolem391(_u16214, _u16212, _u16210))), _u16214)) )).
% 27.71/27.96 cnf(matrix-6852, plain, ( c_Relation_Osingle__valued(_u16210, _u16212, _u16214) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16210, _u16212)), hAPP(hAPP(c_Product__Type_OPair(_u16210, _u16212), skolem390(_u16214, _u16212, _u16210)), skolem392(_u16214, _u16212, _u16210))), _u16214)) )).
% 27.71/27.96 cnf(matrix-6853, plain, ( c_Relation_Osingle__valued(_u16210, _u16212, _u16214) | ( skolem391(_u16214, _u16212, _u16210) != skolem392(_u16214, _u16212, _u16210)) )).
% 27.71/27.96 cnf(matrix-6854, plain, ( ~c_Relation_Osingle__valued(_u16215, _u16216, _u16217) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16215, _u16216)), hAPP(hAPP(c_Product__Type_OPair(_u16215, _u16216), _u16218), _u16219)), _u16217)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16215, _u16216)), hAPP(hAPP(c_Product__Type_OPair(_u16215, _u16216), _u16218), _u16220)), _u16217)) | ( _u16219 = _u16220) )).
% 27.71/27.96 cnf(matrix-6855, plain, ( ~c_Relation_Osingle__valued(_u16221, _u16221, _u16222) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16221, _u16221)), hAPP(hAPP(c_Product__Type_OPair(_u16221, _u16221), _u16223), _u16224)), c_Transitive__Closure_Ortrancl(_u16221, _u16222))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16221, _u16221)), hAPP(hAPP(c_Product__Type_OPair(_u16221, _u16221), _u16223), _u16225)), c_Transitive__Closure_Ortrancl(_u16221, _u16222))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16221, _u16221)), hAPP(hAPP(c_Product__Type_OPair(_u16221, _u16221), _u16224), _u16225)), c_Transitive__Closure_Ortrancl(_u16221, _u16222))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16221, _u16221)), hAPP(hAPP(c_Product__Type_OPair(_u16221, _u16221), _u16225), _u16224)), c_Transitive__Closure_Ortrancl(_u16221, _u16222))) )).
% 27.71/27.96 cnf(matrix-6856, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), _u16230)), c_Transitive__Closure_Ortrancl(_u16228, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16228, _u16228), tc_HOL_Obool)), _u16231), _u16232)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), _u16230)), c_Transitive__Closure_Ortrancl(_u16228, _u16231))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), skolem393(_u16232, _u16231, _u16230, _u16229, _u16228))), c_Transitive__Closure_Ortrancl(_u16228, _u16231))) )).
% 27.71/27.96 cnf(matrix-6857, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), _u16230)), c_Transitive__Closure_Ortrancl(_u16228, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16228, _u16228), tc_HOL_Obool)), _u16231), _u16232)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), _u16230)), c_Transitive__Closure_Ortrancl(_u16228, _u16231))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), skolem393(_u16232, _u16231, _u16230, _u16229, _u16228)), skolem394(_u16232, _u16231, _u16230, _u16229, _u16228))), _u16232)) )).
% 27.71/27.96 cnf(matrix-6858, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), _u16230)), c_Transitive__Closure_Ortrancl(_u16228, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16228, _u16228), tc_HOL_Obool)), _u16231), _u16232)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16228, _u16228)), hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16228), _u16229), _u16230)), c_Transitive__Closure_Ortrancl(_u16228, _u16231))) | ( skolem393(_u16232, _u16231, _u16230, _u16229, _u16228) != skolem394(_u16232, _u16231, _u16230, _u16229, _u16228)) )).
% 27.71/27.96 cnf(matrix-6859, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16234, _u16234)), hAPP(hAPP(c_Product__Type_OPair(_u16234, _u16234), _u16235), _u16236)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16234, _u16234), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16237)), _u16238))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16234, _u16234)), hAPP(hAPP(c_Product__Type_OPair(_u16234, _u16234), _u16235), skolem395(_u16238, _u16237, _u16236, _u16235, _u16234))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16234, _u16234), tc_HOL_Obool), _u16237), _u16238))) )).
% 27.71/27.96 cnf(matrix-6860, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16234, _u16234)), hAPP(hAPP(c_Product__Type_OPair(_u16234, _u16234), _u16235), _u16236)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16234, _u16234), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16237)), _u16238))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16234, _u16234)), hAPP(hAPP(c_Product__Type_OPair(_u16234, _u16234), skolem395(_u16238, _u16237, _u16236, _u16235, _u16234)), _u16236)), _u16238)) )).
% 27.71/27.96 cnf(matrix-6861, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16240, _u16240)), hAPP(hAPP(c_Product__Type_OPair(_u16240, _u16240), _u16241), _u16242)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16240, _u16240), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16243)), _u16244))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16240, _u16240)), hAPP(hAPP(c_Product__Type_OPair(_u16240, _u16240), _u16241), skolem396(_u16244, _u16243, _u16242, _u16241, _u16240))), _u16244)) )).
% 27.71/27.96 cnf(matrix-6862, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16240, _u16240)), hAPP(hAPP(c_Product__Type_OPair(_u16240, _u16240), _u16241), _u16242)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16240, _u16240), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16243)), _u16244))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16240, _u16240)), hAPP(hAPP(c_Product__Type_OPair(_u16240, _u16240), skolem396(_u16244, _u16243, _u16242, _u16241, _u16240)), _u16242)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16240, _u16240), tc_HOL_Obool), _u16243), _u16244))) )).
% 27.71/27.96 cnf(matrix-6863, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16246, _u16246)), hAPP(hAPP(c_Product__Type_OPair(_u16246, _u16246), _u16247), _u16248)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16246, _u16246), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16249)), _u16250))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16246, _u16246)), hAPP(hAPP(c_Product__Type_OPair(_u16246, _u16246), _u16247), skolem397(_u16250, _u16249, _u16248, _u16247, _u16246))), _u16250)) )).
% 27.71/27.96 cnf(matrix-6864, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16246, _u16246)), hAPP(hAPP(c_Product__Type_OPair(_u16246, _u16246), _u16247), _u16248)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16246, _u16246), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16249)), _u16250))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16246, _u16246)), hAPP(hAPP(c_Product__Type_OPair(_u16246, _u16246), skolem397(_u16250, _u16249, _u16248, _u16247, _u16246)), _u16248)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16246, _u16246), tc_HOL_Obool), _u16249), _u16250))) )).
% 27.71/27.96 cnf(matrix-6865, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16252, _u16252)), hAPP(hAPP(c_Product__Type_OPair(_u16252, _u16252), _u16253), _u16254)), c_Transitive__Closure_Otrancl(_u16252, _u16255))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16252, _u16252)), hAPP(hAPP(c_Product__Type_OPair(_u16252, _u16252), _u16253), skolem398(_u16255, _u16254, _u16253, _u16252))), c_Transitive__Closure_Ortrancl(_u16252, _u16255))) )).
% 27.71/27.96 cnf(matrix-6866, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16252, _u16252)), hAPP(hAPP(c_Product__Type_OPair(_u16252, _u16252), _u16253), _u16254)), c_Transitive__Closure_Otrancl(_u16252, _u16255))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16252, _u16252)), hAPP(hAPP(c_Product__Type_OPair(_u16252, _u16252), skolem398(_u16255, _u16254, _u16253, _u16252)), _u16254)), _u16255)) )).
% 27.71/27.96 cnf(matrix-6867, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16257, _u16257)), hAPP(hAPP(c_Product__Type_OPair(_u16257, _u16257), _u16258), _u16259)), c_Transitive__Closure_Otrancl(_u16257, _u16260))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16257, _u16257)), hAPP(hAPP(c_Product__Type_OPair(_u16257, _u16257), _u16258), skolem399(_u16260, _u16259, _u16258, _u16257))), _u16260)) )).
% 27.71/27.96 cnf(matrix-6868, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16257, _u16257)), hAPP(hAPP(c_Product__Type_OPair(_u16257, _u16257), _u16258), _u16259)), c_Transitive__Closure_Otrancl(_u16257, _u16260))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16257, _u16257)), hAPP(hAPP(c_Product__Type_OPair(_u16257, _u16257), skolem399(_u16260, _u16259, _u16258, _u16257)), _u16259)), c_Transitive__Closure_Ortrancl(_u16257, _u16260))) )).
% 27.71/27.96 cnf(matrix-6869, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16262, _u16262)), _u16263), c_Relation_OId(_u16262))) | ( _u16263 = hAPP(hAPP(c_Product__Type_OPair(_u16262, _u16262), skolem400(_u16263, _u16262)), skolem400(_u16263, _u16262))) )).
% 27.71/27.96 cnf(matrix-6870, plain, ( ~class_Orderings_Olinorder(_u16264) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16264), _u16265)) | hBOOL(hAPP(hAPP(c_member(_u16264), _u16266), _u16265)) | ( c_Big__Operators_Olattice_OSup__fin(_u16264, c_Orderings_Oord__class_Omax(_u16264), hAPP(hAPP(c_Set_Oinsert(_u16264), _u16266), _u16265)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16264, _u16264, c_Orderings_Oord__class_Omax(_u16264)), _u16266), _u16265)) )).
% 27.71/27.96 cnf(matrix-6871, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u16267, _u16268, _u16269), _u16270), c_Orderings_Obot__class_Obot(tc_fun(_u16267, tc_HOL_Obool))) = _u16270) )).
% 27.71/27.96 cnf(matrix-6872, plain, ( ~c_Finite__Set_Ofolding(_u16271, _u16272, _u16273, _u16274) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16271), _u16275)) | ( hAPP(hAPP(_u16274, _u16275), _u16276) = hAPP(hAPP(c_Finite__Set_Ofold(_u16271, _u16272, _u16273), _u16276), _u16275)) )).
% 27.71/27.96 cnf(matrix-6873, plain, ( ( hAPP(c_Finite__Set_Ofold__image(_u16277, _u16278, _u16279), _u16280) = c_Finite__Set_Ofold(_u16278, _u16277, hAPP(hAPP(c_COMBB(_u16277, tc_fun(_u16277, _u16277), _u16278), _u16279), _u16280))) )).
% 27.71/27.96 cnf(matrix-6874, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u16281, _u16282, _u16283), _u16284), _u16285) = c_HOL_OThe(_u16282, c_Finite__Set_Ofold__graph(_u16281, _u16282, _u16283, _u16284, _u16285))) )).
% 27.71/27.96 cnf(matrix-6875, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16286), _u16287)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16286, tc_HOL_Obool)), _u16287), _u16288) = hAPP(hAPP(c_Finite__Set_Ofold(_u16286, tc_fun(_u16286, tc_HOL_Obool), c_Set_Oinsert(_u16286)), _u16288), _u16287)) )).
% 27.71/27.96 cnf(matrix-6876, plain, ( ~class_Lattices_Osemilattice__sup(_u16289) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16289), _u16290)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16289, _u16289, c_Lattices_Osemilattice__sup__class_Osup(_u16289)), _u16291), hAPP(hAPP(c_Set_Oinsert(_u16289), _u16292), _u16290)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16289), _u16292), hAPP(hAPP(c_Finite__Set_Ofold(_u16289, _u16289, c_Lattices_Osemilattice__sup__class_Osup(_u16289)), _u16291), _u16290))) )).
% 27.71/27.96 cnf(matrix-6877, plain, ( ~class_Lattices_Osemilattice__inf(_u16293) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16293), _u16294)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16293, _u16293, c_Lattices_Osemilattice__inf__class_Oinf(_u16293)), _u16295), hAPP(hAPP(c_Set_Oinsert(_u16293), _u16296), _u16294)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16293), _u16296), hAPP(hAPP(c_Finite__Set_Ofold(_u16293, _u16293, c_Lattices_Osemilattice__inf__class_Oinf(_u16293)), _u16295), _u16294))) )).
% 27.71/27.96 cnf(matrix-6878, plain, ( ~class_Orderings_Olinorder(_u16297) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16297), _u16298)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16297, _u16297, c_Orderings_Oord__class_Omin(_u16297)), _u16299), hAPP(hAPP(c_Set_Oinsert(_u16297), _u16300), _u16298)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u16297), _u16300), hAPP(hAPP(c_Finite__Set_Ofold(_u16297, _u16297, c_Orderings_Oord__class_Omin(_u16297)), _u16299), _u16298))) )).
% 27.71/27.96 cnf(matrix-6879, plain, ( ~class_Orderings_Olinorder(_u16301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16301), _u16302)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16301, _u16301, c_Orderings_Oord__class_Omax(_u16301)), _u16303), hAPP(hAPP(c_Set_Oinsert(_u16301), _u16304), _u16302)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u16301), _u16304), hAPP(hAPP(c_Finite__Set_Ofold(_u16301, _u16301, c_Orderings_Oord__class_Omax(_u16301)), _u16303), _u16302))) )).
% 27.71/27.96 cnf(matrix-6880, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16305, _u16306, _u16307) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16305), _u16308)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16305, _u16306, _u16307), _u16309), hAPP(hAPP(c_Set_Oinsert(_u16305), _u16310), _u16308)) = hAPP(hAPP(_u16307, _u16310), hAPP(hAPP(c_Finite__Set_Ofold(_u16305, _u16306, _u16307), _u16309), _u16308))) )).
% 27.71/27.96 cnf(matrix-6881, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16311, _u16312, _u16313) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16311), _u16314)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16311, _u16312, _u16313), _u16315), hAPP(hAPP(c_Set_Oinsert(_u16311), _u16316), _u16314)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16311, _u16312, _u16313), hAPP(hAPP(_u16313, _u16316), _u16315)), _u16314)) )).
% 27.71/27.96 cnf(matrix-6882, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16317) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16318), _u16319)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16317), _u16320), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16318, _u16317), _u16319), _u16321)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16318, _u16317, hAPP(hAPP(c_COMBB(_u16317, tc_fun(_u16317, _u16317), _u16318), c_Lattices_Osemilattice__sup__class_Osup(_u16317)), _u16321)), _u16320), _u16319)) )).
% 27.71/27.96 cnf(matrix-6883, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u16322, _u16323, _u16324) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16322), _u16325)) | ( hAPP(_u16324, hAPP(hAPP(c_Set_Oinsert(_u16322), _u16326), _u16325)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16322, _u16322, _u16323), _u16326), _u16325)) )).
% 27.71/27.96 cnf(matrix-6884, plain, ( ~class_Lattices_Osemilattice__sup(_u16327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16327), _u16328)) | ~hBOOL(hAPP(hAPP(c_member(_u16327), _u16329), _u16328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16327), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16327), _u16329), _u16330)), hAPP(hAPP(c_Finite__Set_Ofold(_u16327, _u16327, c_Lattices_Osemilattice__sup__class_Osup(_u16327)), _u16330), _u16328))) )).
% 27.71/27.96 cnf(matrix-6885, plain, ( ~class_Lattices_Osemilattice__inf(_u16331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16331), _u16332)) | ~hBOOL(hAPP(hAPP(c_member(_u16331), _u16333), _u16332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16331), hAPP(hAPP(c_Finite__Set_Ofold(_u16331, _u16331, c_Lattices_Osemilattice__inf__class_Oinf(_u16331)), _u16334), _u16332)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16331), _u16333), _u16334))) )).
% 27.71/27.96 cnf(matrix-6886, plain, ( ~class_Orderings_Olinorder(_u16335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16335), _u16336)) | ~hBOOL(hAPP(hAPP(c_member(_u16335), _u16337), _u16336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16335), hAPP(hAPP(c_Finite__Set_Ofold(_u16335, _u16335, c_Orderings_Oord__class_Omin(_u16335)), _u16338), _u16336)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u16335), _u16337), _u16338))) )).
% 27.71/27.96 cnf(matrix-6887, plain, ( ~class_Orderings_Olinorder(_u16339) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16339), _u16340)) | ~hBOOL(hAPP(hAPP(c_member(_u16339), _u16341), _u16340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16339), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u16339), _u16341), _u16342)), hAPP(hAPP(c_Finite__Set_Ofold(_u16339, _u16339, c_Orderings_Oord__class_Omax(_u16339)), _u16342), _u16340))) )).
% 27.71/27.96 cnf(matrix-6888, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u16343) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16343), _u16344)) | ( hAPP(c_Finite__Set_Ofold1(_u16343, c_Groups_Otimes__class_Otimes(_u16343)), hAPP(hAPP(c_Set_Oinsert(_u16343), _u16345), _u16344)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16343, _u16343, c_Groups_Otimes__class_Otimes(_u16343)), _u16345), _u16344)) )).
% 27.71/27.96 cnf(matrix-6889, plain, ( ~class_Lattices_Olattice(_u16346) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16346), _u16347)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16346, hAPP(hAPP(c_Set_Oinsert(_u16346), _u16348), _u16347)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16346, _u16346, c_Lattices_Osemilattice__sup__class_Osup(_u16346)), _u16348), _u16347)) )).
% 27.71/27.96 cnf(matrix-6890, plain, ( ~class_Lattices_Olattice(_u16349) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16349), _u16350)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16349, hAPP(hAPP(c_Set_Oinsert(_u16349), _u16351), _u16350)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16349, _u16349, c_Lattices_Osemilattice__inf__class_Oinf(_u16349)), _u16351), _u16350)) )).
% 27.71/27.96 cnf(matrix-6891, plain, ( ~class_Orderings_Olinorder(_u16352) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16352), _u16353)) | ( c_Big__Operators_Olinorder__class_OMin(_u16352, hAPP(hAPP(c_Set_Oinsert(_u16352), _u16354), _u16353)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16352, _u16352, c_Orderings_Oord__class_Omin(_u16352)), _u16354), _u16353)) )).
% 27.71/27.96 cnf(matrix-6892, plain, ( ~class_Orderings_Olinorder(_u16355) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16355), _u16356)) | ( c_Big__Operators_Olinorder__class_OMax(_u16355, hAPP(hAPP(c_Set_Oinsert(_u16355), _u16357), _u16356)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16355, _u16355, c_Orderings_Oord__class_Omax(_u16355)), _u16357), _u16356)) )).
% 27.71/27.96 cnf(matrix-6893, plain, ( ~class_Orderings_Olinorder(_u16358) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16358), _u16359)) | ( c_Big__Operators_Olattice_OInf__fin(_u16358, c_Orderings_Oord__class_Omin(_u16358), hAPP(hAPP(c_Set_Oinsert(_u16358), _u16360), _u16359)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16358, _u16358, c_Orderings_Oord__class_Omin(_u16358)), _u16360), _u16359)) )).
% 27.71/27.96 cnf(matrix-6894, plain, ( ~class_Orderings_Olinorder(_u16361) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16361), _u16362)) | ( c_Big__Operators_Olattice_OSup__fin(_u16361, c_Orderings_Oord__class_Omax(_u16361), hAPP(hAPP(c_Set_Oinsert(_u16361), _u16363), _u16362)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16361, _u16361, c_Orderings_Oord__class_Omax(_u16361)), _u16363), _u16362)) )).
% 27.71/27.96 cnf(matrix-6895, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16364), _u16365)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16364, tc_HOL_Obool)), _u16366), _u16365) = hAPP(hAPP(c_Finite__Set_Ofold(_u16364, tc_fun(_u16364, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16364, tc_HOL_Obool), tc_fun(tc_fun(_u16364, tc_HOL_Obool), tc_fun(_u16364, tc_HOL_Obool)), _u16364), hAPP(c_COMBC(tc_fun(_u16364, tc_HOL_Obool), tc_fun(_u16364, tc_HOL_Obool), tc_fun(_u16364, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u16364, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u16364, tc_fun(_u16364, tc_HOL_Obool), tc_fun(_u16364, tc_HOL_Obool)), c_Set_Oinsert(_u16364)), c_Orderings_Obot__class_Obot(tc_fun(_u16364, tc_HOL_Obool))))), _u16366), _u16365)) )).
% 27.71/27.96 cnf(matrix-6896, plain, ( ~c_Finite__Set_Ofolding__one(_u16367, _u16368, _u16369) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16367), _u16370)) | hBOOL(hAPP(hAPP(c_member(_u16367), _u16371), _u16370)) | ( hAPP(_u16369, hAPP(hAPP(c_Set_Oinsert(_u16367), _u16371), _u16370)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16367, _u16367, _u16368), _u16371), _u16370)) )).
% 27.71/27.96 cnf(matrix-6897, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16373), _u16374)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16373, _u16372), _u16374), _u16375) = hAPP(hAPP(c_Finite__Set_Ofold(_u16373, _u16372, hAPP(hAPP(c_COMBB(_u16372, tc_fun(_u16372, _u16372), _u16373), c_Lattices_Osemilattice__sup__class_Osup(_u16372)), _u16375)), c_Orderings_Obot__class_Obot(_u16372)), _u16374)) )).
% 27.71/27.96 cnf(matrix-6898, plain, ( ~class_Groups_Oab__semigroup__mult(_u16376) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16376), _u16377)) | hBOOL(hAPP(hAPP(c_member(_u16376), _u16378), _u16377)) | ( hAPP(c_Finite__Set_Ofold1(_u16376, c_Groups_Otimes__class_Otimes(_u16376)), hAPP(hAPP(c_Set_Oinsert(_u16376), _u16378), _u16377)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16376, _u16376, c_Groups_Otimes__class_Otimes(_u16376)), _u16378), _u16377)) )).
% 27.71/27.96 cnf(matrix-6899, plain, ( ~class_Lattices_Olattice(_u16379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16379), _u16380)) | hBOOL(hAPP(hAPP(c_member(_u16379), _u16381), _u16380)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16379, hAPP(hAPP(c_Set_Oinsert(_u16379), _u16381), _u16380)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16379, _u16379, c_Lattices_Osemilattice__sup__class_Osup(_u16379)), _u16381), _u16380)) )).
% 27.71/27.96 cnf(matrix-6900, plain, ( ~class_Lattices_Olattice(_u16382) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16382), _u16383)) | hBOOL(hAPP(hAPP(c_member(_u16382), _u16384), _u16383)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16382, hAPP(hAPP(c_Set_Oinsert(_u16382), _u16384), _u16383)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16382, _u16382, c_Lattices_Osemilattice__inf__class_Oinf(_u16382)), _u16384), _u16383)) )).
% 27.71/27.96 cnf(matrix-6901, plain, ( ~class_Orderings_Olinorder(_u16385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16385), _u16386)) | hBOOL(hAPP(hAPP(c_member(_u16385), _u16387), _u16386)) | ( c_Big__Operators_Olinorder__class_OMin(_u16385, hAPP(hAPP(c_Set_Oinsert(_u16385), _u16387), _u16386)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16385, _u16385, c_Orderings_Oord__class_Omin(_u16385)), _u16387), _u16386)) )).
% 27.71/27.96 cnf(matrix-6902, plain, ( ~class_Orderings_Olinorder(_u16388) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16388), _u16389)) | hBOOL(hAPP(hAPP(c_member(_u16388), _u16390), _u16389)) | ( c_Big__Operators_Olinorder__class_OMax(_u16388, hAPP(hAPP(c_Set_Oinsert(_u16388), _u16390), _u16389)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16388, _u16388, c_Orderings_Oord__class_Omax(_u16388)), _u16390), _u16389)) )).
% 27.71/27.96 cnf(matrix-6903, plain, ( ~class_Orderings_Olinorder(_u16391) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16391), _u16392)) | hBOOL(hAPP(hAPP(c_member(_u16391), _u16393), _u16392)) | ( c_Big__Operators_Olattice_OInf__fin(_u16391, c_Orderings_Oord__class_Omin(_u16391), hAPP(hAPP(c_Set_Oinsert(_u16391), _u16393), _u16392)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16391, _u16391, c_Orderings_Oord__class_Omin(_u16391)), _u16393), _u16392)) )).
% 27.71/27.96 cnf(matrix-6904, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16394, _u16395, _u16396) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16394), _u16397)) | ~hBOOL(hAPP(hAPP(c_member(_u16394), _u16398), _u16397)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16394, _u16395, _u16396), _u16399), _u16397) = hAPP(hAPP(_u16396, _u16398), hAPP(hAPP(c_Finite__Set_Ofold(_u16394, _u16395, _u16396), _u16399), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16394, tc_HOL_Obool)), _u16397), hAPP(hAPP(c_Set_Oinsert(_u16394), _u16398), c_Orderings_Obot__class_Obot(tc_fun(_u16394, tc_HOL_Obool))))))) )).
% 27.71/27.96 cnf(matrix-6905, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16400, _u16401, _u16402) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16400), _u16403)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16400, _u16401, _u16402), _u16404), hAPP(hAPP(c_Set_Oinsert(_u16400), _u16405), _u16403)) = hAPP(hAPP(_u16402, _u16405), hAPP(hAPP(c_Finite__Set_Ofold(_u16400, _u16401, _u16402), _u16404), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16400, tc_HOL_Obool)), _u16403), hAPP(hAPP(c_Set_Oinsert(_u16400), _u16405), c_Orderings_Obot__class_Obot(tc_fun(_u16400, tc_HOL_Obool))))))) )).
% 27.71/27.96 cnf(matrix-6906, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16406, _u16407, _u16408) | c_Finite__Set_Ofun__left__comm(_u16409, _u16407, hAPP(hAPP(c_COMBB(_u16406, tc_fun(_u16407, _u16407), _u16409), _u16408), _u16410)) )).
% 27.71/27.96 cnf(matrix-6907, plain, ( ( hAPP(hAPP(_u16413, _u16414), hAPP(hAPP(_u16413, _u16415), _u16416)) = hAPP(hAPP(_u16413, _u16415), hAPP(hAPP(_u16413, _u16414), _u16416))) | ~c_Finite__Set_Ofun__left__comm(_u16411, _u16412, _u16413) )).
% 27.71/27.96 cnf(matrix-6908, plain, ( ~class_Groups_Oab__semigroup__mult(_u16417) | c_Finite__Set_Ofun__left__comm(_u16417, _u16417, c_Groups_Otimes__class_Otimes(_u16417)) )).
% 27.71/27.96 cnf(matrix-6909, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16418, _u16419, _u16420) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16418, _u16419, _u16420, _u16421, _u16422), _u16423)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16418, _u16419, _u16420, _u16421, _u16422), _u16424)) | ( _u16424 = _u16423) )).
% 27.71/27.96 cnf(matrix-6910, plain, ( ( hAPP(c_Fun_Ocomp(_u16426, _u16426, _u16426, hAPP(_u16427, _u16428)), hAPP(_u16427, _u16429)) = hAPP(c_Fun_Ocomp(_u16426, _u16426, _u16426, hAPP(_u16427, _u16429)), hAPP(_u16427, _u16428))) | ~c_Finite__Set_Ofun__left__comm(_u16425, _u16426, _u16427) )).
% 27.71/27.96 cnf(matrix-6911, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16430, _u16431, _u16432) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16430), _u16433)) | ( hAPP(hAPP(_u16432, _u16434), hAPP(hAPP(c_Finite__Set_Ofold(_u16430, _u16431, _u16432), _u16435), _u16433)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16430, _u16431, _u16432), hAPP(hAPP(_u16432, _u16434), _u16435)), _u16433)) )).
% 27.71/27.96 cnf(matrix-6912, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16436, _u16437, _u16438) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16436, _u16437, _u16438, _u16439, _u16440), _u16441)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16436, _u16437, _u16438), _u16439), _u16440) = _u16441) )).
% 27.71/27.96 cnf(matrix-6913, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16442, _u16443, _u16444) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16442), _u16445)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16442, _u16443, _u16444, _u16446, _u16445), hAPP(hAPP(c_Finite__Set_Ofold(_u16442, _u16443, _u16444), _u16446), _u16445))) )).
% 27.71/27.96 cnf(matrix-6914, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16447, _u16448, _u16449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16447), _u16450)) | hBOOL(hAPP(hAPP(c_member(_u16447), _u16451), _u16450)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16447, _u16448, _u16449), _u16452), hAPP(hAPP(c_Set_Oinsert(_u16447), _u16451), _u16450)) = hAPP(hAPP(_u16449, _u16451), hAPP(hAPP(c_Finite__Set_Ofold(_u16447, _u16448, _u16449), _u16452), _u16450))) )).
% 27.71/27.96 cnf(matrix-6915, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16453, _u16454, _u16455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16453), _u16456)) | hBOOL(hAPP(hAPP(c_member(_u16453), _u16457), _u16456)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16453, _u16454, _u16455), _u16458), hAPP(hAPP(c_Set_Oinsert(_u16453), _u16457), _u16456)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16453, _u16454, _u16455), hAPP(hAPP(_u16455, _u16457), _u16458)), _u16456)) )).
% 27.71/27.96 cnf(matrix-6916, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16460, _u16461, _u16462) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16460, _u16461, _u16462, _u16463, _u16464), _u16465)) | ~hBOOL(hAPP(hAPP(c_member(_u16460), _u16466), _u16464)) | ( _u16465 = hAPP(hAPP(_u16462, _u16466), skolem401(_u16466, _u16465, _u16464, _u16463, _u16462, _u16461, _u16460))) )).
% 27.71/27.96 cnf(matrix-6917, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16460, _u16461, _u16462) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16460, _u16461, _u16462, _u16463, _u16464), _u16465)) | ~hBOOL(hAPP(hAPP(c_member(_u16460), _u16466), _u16464)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16460, _u16461, _u16462, _u16463, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16460, tc_HOL_Obool)), _u16464), hAPP(hAPP(c_Set_Oinsert(_u16460), _u16466), c_Orderings_Obot__class_Obot(tc_fun(_u16460, tc_HOL_Obool))))), skolem401(_u16466, _u16465, _u16464, _u16463, _u16462, _u16461, _u16460))) )).
% 27.71/27.96 cnf(matrix-6918, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16468), _u16469)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16468, _u16467), _u16469), _u16470) = hAPP(hAPP(c_Finite__Set_Ofold(_u16468, _u16467, hAPP(hAPP(c_COMBB(_u16467, tc_fun(_u16467, _u16467), _u16468), c_Lattices_Osemilattice__inf__class_Oinf(_u16467)), _u16470)), c_Orderings_Otop__class_Otop(_u16467)), _u16469)) )).
% 27.71/27.96 cnf(matrix-6919, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16471, tc_fun(_u16472, tc_HOL_Obool)), _u16473), _u16474), _u16475)) | hBOOL(hAPP(hAPP(_u16474, _u16476), _u16475)) | ~hBOOL(hAPP(hAPP(c_member(_u16471), _u16476), _u16473)) )).
% 27.71/27.96 cnf(matrix-6920, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16477, tc_fun(_u16478, tc_HOL_Obool)), _u16479), _u16480), _u16481)) | ~hBOOL(hAPP(hAPP(c_member(_u16477), _u16482), _u16479)) | hBOOL(hAPP(hAPP(_u16480, _u16482), _u16481)) )).
% 27.71/27.96 cnf(matrix-6921, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16483), _u16484), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16485, tc_fun(_u16483, tc_HOL_Obool)), _u16486), _u16487))) | hBOOL(hAPP(hAPP(c_member(_u16483), _u16484), hAPP(_u16487, _u16488))) | ~hBOOL(hAPP(hAPP(c_member(_u16485), _u16488), _u16486)) )).
% 27.71/27.96 cnf(matrix-6922, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16489), _u16490), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16491, tc_fun(_u16489, tc_HOL_Obool)), _u16492), _u16493))) | ~hBOOL(hAPP(hAPP(c_member(_u16491), _u16494), _u16492)) | hBOOL(hAPP(hAPP(c_member(_u16489), _u16490), hAPP(_u16493, _u16494))) )).
% 27.71/27.96 cnf(matrix-6923, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16495, tc_fun(_u16496, tc_fun(_u16497, tc_HOL_Obool))), _u16498), _u16499), _u16500), _u16501)) | hBOOL(hAPP(hAPP(hAPP(_u16499, _u16502), _u16500), _u16501)) | ~hBOOL(hAPP(hAPP(c_member(_u16495), _u16502), _u16498)) )).
% 27.71/27.96 cnf(matrix-6924, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16503, tc_fun(_u16504, tc_fun(_u16505, tc_HOL_Obool))), _u16506), _u16507), _u16508), _u16509)) | ~hBOOL(hAPP(hAPP(c_member(_u16503), _u16510), _u16506)) | hBOOL(hAPP(hAPP(hAPP(_u16507, _u16510), _u16508), _u16509)) )).
% 27.71/27.96 cnf(matrix-6925, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16512), _u16511), _u16513)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16514), hAPP(_u16515, _u16511))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16514), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16512, tc_fun(_u16514, tc_HOL_Obool)), _u16513), _u16515))) )).
% 27.71/27.96 cnf(matrix-6926, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16516, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16517, tc_fun(_u16516, tc_HOL_Obool)), _u16518), _u16519)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16517, tc_fun(_u16516, tc_HOL_Obool)), _u16518), hAPP(hAPP(c_COMBB(tc_fun(_u16516, tc_HOL_Obool), tc_fun(_u16516, tc_HOL_Obool), _u16517), c_Groups_Ouminus__class_Ouminus(tc_fun(_u16516, tc_HOL_Obool))), _u16519))) )).
% 27.71/27.96 cnf(matrix-6927, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16520, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16521, tc_fun(_u16520, tc_HOL_Obool)), _u16522), _u16523)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16521, tc_fun(_u16520, tc_HOL_Obool)), _u16522), hAPP(hAPP(c_COMBB(tc_fun(_u16520, tc_HOL_Obool), tc_fun(_u16520, tc_HOL_Obool), _u16521), c_Groups_Ouminus__class_Ouminus(tc_fun(_u16520, tc_HOL_Obool))), _u16523))) )).
% 27.71/27.96 cnf(matrix-6928, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16524, tc_fun(_u16525, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16526, tc_fun(_u16524, tc_HOL_Obool)), _u16527), _u16528)), _u16529) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16526, tc_fun(_u16525, tc_HOL_Obool)), _u16527), hAPP(hAPP(c_COMBC(_u16526, tc_fun(_u16524, tc_fun(_u16525, tc_HOL_Obool)), tc_fun(_u16525, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16524, tc_HOL_Obool), tc_fun(tc_fun(_u16524, tc_fun(_u16525, tc_HOL_Obool)), tc_fun(_u16525, tc_HOL_Obool)), _u16526), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16524, tc_fun(_u16525, tc_HOL_Obool))), _u16528)), _u16529))) )).
% 27.71/27.96 cnf(matrix-6929, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16530, tc_fun(_u16531, tc_HOL_Obool)), _u16532), hAPP(hAPP(c_COMBC(_u16530, tc_fun(_u16533, tc_fun(_u16531, tc_HOL_Obool)), tc_fun(_u16531, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16533, tc_HOL_Obool), tc_fun(tc_fun(_u16533, tc_fun(_u16531, tc_HOL_Obool)), tc_fun(_u16531, tc_HOL_Obool)), _u16530), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16533, tc_fun(_u16531, tc_HOL_Obool))), _u16534)), _u16535)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16533, tc_fun(_u16531, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16530, tc_fun(_u16533, tc_HOL_Obool)), _u16532), _u16534)), _u16535)) )).
% 27.71/27.96 cnf(matrix-6930, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16536, tc_HOL_Obool)), _u16537), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16538, tc_fun(_u16536, tc_HOL_Obool)), _u16539), _u16540)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16538, tc_fun(_u16536, tc_HOL_Obool)), _u16539), hAPP(hAPP(c_COMBB(tc_fun(_u16536, tc_HOL_Obool), tc_fun(_u16536, tc_HOL_Obool), _u16538), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16536, tc_HOL_Obool)), _u16537)), _u16540))) )).
% 27.71/27.96 cnf(matrix-6931, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16541, tc_fun(_u16542, tc_HOL_Obool)), _u16543), hAPP(hAPP(c_COMBB(tc_fun(_u16542, tc_HOL_Obool), tc_fun(_u16542, tc_HOL_Obool), _u16541), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16542, tc_HOL_Obool)), _u16544)), _u16545)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16542, tc_HOL_Obool)), _u16544), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16541, tc_fun(_u16542, tc_HOL_Obool)), _u16543), _u16545))) )).
% 27.71/27.96 cnf(matrix-6932, plain, ( ( hAPP(c_Set_OCollect(_u16546), hAPP(hAPP(c_COMBB(tc_fun(_u16547, tc_HOL_Obool), tc_HOL_Obool, _u16546), c_HOL_OAll(_u16547)), hAPP(hAPP(c_COMBB(tc_fun(_u16547, tc_HOL_Obool), tc_fun(_u16547, tc_HOL_Obool), _u16546), hAPP(c_COMBS(_u16547, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16547), c_fimplies), hAPP(hAPP(c_COMBC(_u16547, tc_fun(_u16547, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16547)), _u16548)))), _u16549))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16547, tc_fun(_u16546, tc_HOL_Obool)), _u16548), hAPP(hAPP(c_COMBB(tc_fun(_u16546, tc_HOL_Obool), tc_fun(_u16546, tc_HOL_Obool), _u16547), c_Set_OCollect(_u16546)), hAPP(c_COMBC(_u16546, _u16547, tc_HOL_Obool), _u16549)))) )).
% 27.71/27.96 cnf(matrix-6933, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16550, tc_HOL_Obool) = c_Set_OBall(_u16550)) )).
% 27.71/27.96 cnf(matrix-6934, plain, ( ( _u16556 != c_Orderings_Obot__class_Obot(tc_fun(_u16558, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16560, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16558, tc_fun(_u16560, tc_HOL_Obool)), _u16556), _u16562)), _u16564) = _u16564) )).
% 27.71/27.96 cnf(matrix-6935, plain, ( ( _u16557 = c_Orderings_Obot__class_Obot(tc_fun(_u16559, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16561, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16559, tc_fun(_u16561, tc_HOL_Obool)), _u16557), _u16563)), _u16565) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16559, tc_fun(_u16561, tc_HOL_Obool)), _u16557), hAPP(hAPP(c_COMBC(_u16559, tc_fun(_u16561, tc_HOL_Obool), tc_fun(_u16561, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16561, tc_HOL_Obool), tc_fun(tc_fun(_u16561, tc_HOL_Obool), tc_fun(_u16561, tc_HOL_Obool)), _u16559), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16561, tc_HOL_Obool))), _u16563)), _u16565))) )).
% 27.71/27.96 cnf(matrix-6936, plain, ( ( _u16571 != c_Orderings_Obot__class_Obot(tc_fun(_u16573, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16575, tc_HOL_Obool)), _u16577), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16573, tc_fun(_u16575, tc_HOL_Obool)), _u16571), _u16579)) = _u16577) )).
% 27.71/27.96 cnf(matrix-6937, plain, ( ( _u16572 = c_Orderings_Obot__class_Obot(tc_fun(_u16574, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16576, tc_HOL_Obool)), _u16578), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16574, tc_fun(_u16576, tc_HOL_Obool)), _u16572), _u16580)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16574, tc_fun(_u16576, tc_HOL_Obool)), _u16572), hAPP(hAPP(c_COMBB(tc_fun(_u16576, tc_HOL_Obool), tc_fun(_u16576, tc_HOL_Obool), _u16574), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16576, tc_HOL_Obool)), _u16578)), _u16580))) )).
% 27.71/27.96 cnf(matrix-6938, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16581) | ( _u16582 = c_Orderings_Obot__class_Obot(tc_fun(_u16583, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16583, _u16581), _u16582), hAPP(c_COMBK(_u16581, _u16583), _u16584)) = _u16584) )).
% 27.71/27.96 cnf(matrix-6939, plain, ( ( _u16589 != c_Orderings_Obot__class_Obot(tc_fun(_u16591, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16591, tc_fun(_u16593, tc_HOL_Obool)), _u16589), hAPP(c_COMBK(tc_fun(_u16593, tc_HOL_Obool), _u16591), _u16595)) = c_Orderings_Otop__class_Otop(tc_fun(_u16593, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-6940, plain, ( ( _u16590 = c_Orderings_Obot__class_Obot(tc_fun(_u16592, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16592, tc_fun(_u16594, tc_HOL_Obool)), _u16590), hAPP(c_COMBK(tc_fun(_u16594, tc_HOL_Obool), _u16592), _u16596)) = _u16596) )).
% 27.71/27.96 cnf(matrix-6941, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16597, tc_fun(_u16598, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u16597, tc_HOL_Obool))), _u16599) = c_Orderings_Otop__class_Otop(tc_fun(_u16598, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-6942, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16600, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16601, _u16600, _u16602), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16603, tc_fun(_u16601, tc_HOL_Obool)), _u16604), _u16605))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16603, tc_fun(_u16600, tc_HOL_Obool)), _u16604), hAPP(hAPP(c_COMBB(tc_fun(_u16601, tc_HOL_Obool), tc_fun(_u16600, tc_HOL_Obool), _u16603), c_Relation_OImage(_u16601, _u16600, _u16602)), _u16605)))) )).
% 27.71/27.96 cnf(matrix-6943, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16606, tc_fun(_u16607, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u16606), _u16608), _u16609)), _u16610) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16607, tc_HOL_Obool)), hAPP(_u16610, _u16608)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16606, tc_fun(_u16607, tc_HOL_Obool)), _u16609), _u16610))) )).
% 27.71/27.96 cnf(matrix-6944, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16613), _u16614), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16615, _u16613), _u16616), _u16617))) | ~hBOOL(hAPP(hAPP(c_member(_u16615), _u16611), _u16616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16613), _u16614), hAPP(_u16617, _u16611))) )).
% 27.71/27.96 cnf(matrix-6945, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16613), _u16614), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16615, _u16613), _u16616), _u16617))) | hBOOL(hAPP(hAPP(c_member(_u16615), skolem402(_u16617, _u16616, _u16615, _u16614, _u16613)), _u16616)) )).
% 27.71/27.96 cnf(matrix-6946, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16613), _u16614), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16615, _u16613), _u16616), _u16617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16613), _u16614), hAPP(_u16617, skolem402(_u16617, _u16616, _u16615, _u16614, _u16613)))) )).
% 27.71/27.96 cnf(matrix-6947, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16625, tc_HOL_Obool)), _u16627), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16629, tc_fun(_u16625, tc_HOL_Obool)), _u16631), _u16633))) | ~hBOOL(hAPP(hAPP(c_member(_u16629), _u16618), _u16631)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16625, tc_HOL_Obool)), _u16627), hAPP(_u16633, _u16618))) )).
% 27.71/27.96 cnf(matrix-6948, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16626, tc_HOL_Obool)), _u16628), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16630, tc_fun(_u16626, tc_HOL_Obool)), _u16632), _u16634))) | hBOOL(hAPP(hAPP(c_member(_u16630), skolem403(_u16634, _u16632, _u16630, _u16628, _u16626)), _u16632)) )).
% 27.71/27.96 cnf(matrix-6949, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16626, tc_HOL_Obool)), _u16628), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16630, tc_fun(_u16626, tc_HOL_Obool)), _u16632), _u16634))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16626, tc_HOL_Obool)), _u16628), hAPP(_u16634, skolem403(_u16634, _u16632, _u16630, _u16628, _u16626)))) )).
% 27.71/27.96 cnf(matrix-6950, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16635, tc_fun(_u16636, tc_HOL_Obool)), _u16637), hAPP(hAPP(c_COMBB(tc_fun(_u16636, tc_HOL_Obool), tc_fun(_u16636, tc_HOL_Obool), _u16635), hAPP(c_Set_Oinsert(_u16636), _u16638)), _u16639)) = hAPP(hAPP(c_Set_Oinsert(_u16636), _u16638), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16635, tc_fun(_u16636, tc_HOL_Obool)), _u16637), _u16639))) )).
% 27.71/27.96 cnf(matrix-6951, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u16640), _u16641), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16642, tc_fun(_u16640, tc_HOL_Obool)), _u16643), _u16644)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16642, tc_fun(_u16640, tc_HOL_Obool)), _u16643), hAPP(hAPP(c_COMBB(tc_fun(_u16640, tc_HOL_Obool), tc_fun(_u16640, tc_HOL_Obool), _u16642), hAPP(c_Set_Oinsert(_u16640), _u16641)), _u16644))) )).
% 27.71/27.96 cnf(matrix-6952, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16645), _u16646), _u16647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16648, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16645, tc_fun(_u16648, tc_HOL_Obool)), _u16647), _u16649)), hAPP(_u16649, _u16646))) )).
% 27.71/27.96 cnf(matrix-6953, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16650), _u16651), _u16652)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16650, tc_fun(_u16653, tc_HOL_Obool)), _u16652), hAPP(hAPP(c_COMBB(tc_fun(_u16653, tc_HOL_Obool), tc_fun(_u16653, tc_HOL_Obool), _u16650), hAPP(c_Set_Oinsert(_u16653), _u16654)), _u16655)) = hAPP(hAPP(c_Set_Oinsert(_u16653), _u16654), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16650, tc_fun(_u16653, tc_HOL_Obool)), _u16652), _u16655))) )).
% 27.71/27.96 cnf(matrix-6954, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16656, tc_fun(_u16657, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u16658, _u16656, _u16659), _u16660)), _u16661) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16658, tc_fun(_u16657, tc_HOL_Obool)), _u16660), hAPP(hAPP(c_COMBB(_u16656, tc_fun(_u16657, tc_HOL_Obool), _u16658), _u16661), _u16659))) )).
% 27.71/27.96 cnf(matrix-6955, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16662, tc_fun(_u16663, tc_HOL_Obool)), _u16664), hAPP(hAPP(c_COMBB(_u16665, tc_fun(_u16663, tc_HOL_Obool), _u16662), _u16666), _u16667)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16665, tc_fun(_u16663, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u16662, _u16665, _u16667), _u16664)), _u16666)) )).
% 27.71/27.96 cnf(matrix-6956, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16668, tc_fun(_u16669, tc_HOL_Obool)), _u16670), hAPP(hAPP(c_COMBS(_u16668, tc_fun(_u16669, tc_HOL_Obool), tc_fun(_u16669, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16669, tc_HOL_Obool), tc_fun(tc_fun(_u16669, tc_HOL_Obool), tc_fun(_u16669, tc_HOL_Obool)), _u16668), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16669, tc_HOL_Obool))), _u16671)), _u16672)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16669, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16668, tc_fun(_u16669, tc_HOL_Obool)), _u16670), _u16671)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16668, tc_fun(_u16669, tc_HOL_Obool)), _u16670), _u16672))) )).
% 27.71/27.96 cnf(matrix-6957, plain, ( ( hAPP(c_Set_OPow(_u16673), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16674, tc_fun(_u16673, tc_HOL_Obool)), _u16675), _u16676)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16674, tc_fun(tc_fun(_u16673, tc_HOL_Obool), tc_HOL_Obool)), _u16675), hAPP(hAPP(c_COMBB(tc_fun(_u16673, tc_HOL_Obool), tc_fun(tc_fun(_u16673, tc_HOL_Obool), tc_HOL_Obool), _u16674), c_Set_OPow(_u16673)), _u16676))) )).
% 27.71/27.96 cnf(matrix-6958, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16677) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16678, _u16677), _u16679), hAPP(hAPP(c_COMBB(tc_fun(_u16680, _u16677), _u16677, _u16678), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16680, _u16677), _u16681)), _u16682)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16680, _u16677), _u16681), hAPP(hAPP(c_COMBB(tc_fun(_u16678, _u16677), _u16677, _u16680), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16678, _u16677), _u16679)), hAPP(c_COMBC(_u16678, _u16680, _u16677), _u16682)))) )).
% 27.71/27.96 cnf(matrix-6959, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16683) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16684, tc_fun(_u16685, _u16683)), _u16686), _u16687), _u16688) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16684, _u16683), _u16686), hAPP(hAPP(c_COMBC(_u16684, _u16685, _u16683), _u16687), _u16688))) )).
% 27.71/27.96 cnf(matrix-6960, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16696), _u16698), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16700, tc_fun(_u16696, tc_HOL_Obool)), _u16702), _u16704))) | ~hBOOL(hAPP(hAPP(c_member(_u16700), _u16689), _u16702)) | hBOOL(hAPP(hAPP(c_member(_u16696), _u16698), hAPP(_u16704, _u16689))) )).
% 27.71/27.96 cnf(matrix-6961, plain, ( hBOOL(hAPP(hAPP(c_member(_u16697), _u16699), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16701, tc_fun(_u16697, tc_HOL_Obool)), _u16703), _u16705))) | hBOOL(hAPP(hAPP(c_member(_u16701), skolem404(_u16705, _u16703, _u16701, _u16699, _u16697)), _u16703)) )).
% 27.71/27.96 cnf(matrix-6962, plain, ( hBOOL(hAPP(hAPP(c_member(_u16697), _u16699), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16701, tc_fun(_u16697, tc_HOL_Obool)), _u16703), _u16705))) | ~hBOOL(hAPP(hAPP(c_member(_u16697), _u16699), hAPP(_u16705, skolem404(_u16705, _u16703, _u16701, _u16699, _u16697)))) )).
% 27.71/27.96 cnf(matrix-6963, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16708) | ~class_Orderings_Olinorder(_u16708) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16708), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16709, _u16708), _u16710), _u16711)), _u16712)) | hBOOL(hAPP(hAPP(c_member(_u16709), skolem405(_u16712, _u16711, _u16710, _u16709, _u16708)), _u16710)) )).
% 27.71/27.96 cnf(matrix-6964, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16708) | ~class_Orderings_Olinorder(_u16708) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16708), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16709, _u16708), _u16710), _u16711)), _u16712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16708), hAPP(_u16711, skolem405(_u16712, _u16711, _u16710, _u16709, _u16708))), _u16712)) )).
% 27.71/27.96 cnf(matrix-6965, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16708) | ~class_Orderings_Olinorder(_u16708) | ~hBOOL(hAPP(hAPP(c_member(_u16709), _u16707), _u16710)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16708), hAPP(_u16711, _u16707)), _u16712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16708), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16709, _u16708), _u16710), _u16711)), _u16712)) )).
% 27.71/27.96 cnf(matrix-6966, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16713), _u16714), _u16715)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16716, tc_HOL_Obool)), hAPP(_u16717, _u16714)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16713, tc_fun(_u16716, tc_HOL_Obool)), _u16715), _u16717)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16713, tc_fun(_u16716, tc_HOL_Obool)), _u16715), _u16717)) )).
% 27.71/27.96 cnf(matrix-6967, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16722, tc_fun(_u16724, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16722, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u16724, tc_HOL_Obool), tc_fun(_u16724, tc_HOL_Obool), _u16722), hAPP(c_COMBC(_u16724, tc_fun(_u16724, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16724))), _u16726)), _u16728)) | hBOOL(hAPP(hAPP(c_member(_u16724), _u16728), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16722, tc_fun(_u16724, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16722, tc_HOL_Obool))), _u16726))) )).
% 27.71/27.96 cnf(matrix-6968, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16725), _u16729), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16723, tc_fun(_u16725, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16723, tc_HOL_Obool))), _u16727))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16723, tc_fun(_u16725, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16723, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u16725, tc_HOL_Obool), tc_fun(_u16725, tc_HOL_Obool), _u16723), hAPP(c_COMBC(_u16725, tc_fun(_u16725, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16725))), _u16727)), _u16729)) )).
% 27.71/27.96 cnf(matrix-6969, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16736, tc_fun(_u16738, tc_fun(_u16740, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u16736, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_fun(_u16738, tc_fun(_u16740, tc_HOL_Obool)), _u16736), hAPP(c_COMBC(_u16738, tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_fun(_u16740, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16740, tc_fun(tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_fun(_u16740, tc_HOL_Obool)), _u16738), c_COMBC(_u16740, tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16740, tc_prod(_u16738, _u16740)), tc_fun(_u16740, tc_fun(tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_HOL_Obool)), _u16738), hAPP(c_COMBB(tc_prod(_u16738, _u16740), tc_fun(tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool), tc_HOL_Obool), _u16740), c_member(tc_prod(_u16738, _u16740)))), c_Product__Type_OPair(_u16738, _u16740))))), _u16742)), _u16744), _u16746)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16738, _u16740)), hAPP(hAPP(c_Product__Type_OPair(_u16738, _u16740), _u16744), _u16746)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16736, tc_fun(tc_prod(_u16738, _u16740), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16736, tc_HOL_Obool))), _u16742))) )).
% 27.71/27.96 cnf(matrix-6970, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16739, _u16741)), hAPP(hAPP(c_Product__Type_OPair(_u16739, _u16741), _u16745), _u16747)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16737, tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16737, tc_HOL_Obool))), _u16743))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16737, tc_fun(_u16739, tc_fun(_u16741, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u16737, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_fun(_u16739, tc_fun(_u16741, tc_HOL_Obool)), _u16737), hAPP(c_COMBC(_u16739, tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_fun(_u16741, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16741, tc_fun(tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_fun(_u16741, tc_HOL_Obool)), _u16739), c_COMBC(_u16741, tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16741, tc_prod(_u16739, _u16741)), tc_fun(_u16741, tc_fun(tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_HOL_Obool)), _u16739), hAPP(c_COMBB(tc_prod(_u16739, _u16741), tc_fun(tc_fun(tc_prod(_u16739, _u16741), tc_HOL_Obool), tc_HOL_Obool), _u16741), c_member(tc_prod(_u16739, _u16741)))), c_Product__Type_OPair(_u16739, _u16741))))), _u16743)), _u16745), _u16747)) )).
% 27.71/27.96 cnf(matrix-6971, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16754, tc_fun(_u16756, tc_HOL_Obool)), _u16758), _u16760) != c_Orderings_Otop__class_Otop(tc_fun(_u16756, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u16754), _u16748), _u16758)) | ( hAPP(_u16760, _u16748) = c_Orderings_Otop__class_Otop(tc_fun(_u16756, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-6972, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16755, tc_fun(_u16757, tc_HOL_Obool)), _u16759), _u16761) = c_Orderings_Otop__class_Otop(tc_fun(_u16757, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u16755), skolem406(_u16761, _u16759, _u16757, _u16755)), _u16759)) )).
% 27.71/27.96 cnf(matrix-6973, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16755, tc_fun(_u16757, tc_HOL_Obool)), _u16759), _u16761) = c_Orderings_Otop__class_Otop(tc_fun(_u16757, tc_HOL_Obool))) | ( hAPP(_u16761, skolem406(_u16761, _u16759, _u16757, _u16755)) != c_Orderings_Otop__class_Otop(tc_fun(_u16757, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-6974, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16768, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16770, tc_fun(_u16768, tc_HOL_Obool)), _u16772), _u16774)) | ~hBOOL(hAPP(hAPP(c_member(_u16770), _u16762), _u16772)) | ( hAPP(_u16774, _u16762) = c_Orderings_Otop__class_Otop(tc_fun(_u16768, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-6975, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16769, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16771, tc_fun(_u16769, tc_HOL_Obool)), _u16773), _u16775)) | hBOOL(hAPP(hAPP(c_member(_u16771), skolem407(_u16775, _u16773, _u16771, _u16769)), _u16773)) )).
% 27.71/27.96 cnf(matrix-6976, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16769, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16771, tc_fun(_u16769, tc_HOL_Obool)), _u16773), _u16775)) | ( hAPP(_u16775, skolem407(_u16775, _u16773, _u16771, _u16769)) != c_Orderings_Otop__class_Otop(tc_fun(_u16769, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-6977, plain, ( ( hAPP(c_Set_Ovimage(_u16776, _u16777, _u16778), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16779, tc_fun(_u16777, tc_HOL_Obool)), _u16780), _u16781)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16779, tc_fun(_u16776, tc_HOL_Obool)), _u16780), hAPP(hAPP(c_COMBB(tc_fun(_u16777, tc_HOL_Obool), tc_fun(_u16776, tc_HOL_Obool), _u16779), c_Set_Ovimage(_u16776, _u16777, _u16778)), _u16781))) )).
% 27.71/27.96 cnf(matrix-6978, plain, ( ( hAPP(c_Relation_Oconverse(_u16782, _u16783), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16784, tc_fun(tc_prod(_u16782, _u16783), tc_HOL_Obool)), _u16785), _u16786)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16784, tc_fun(tc_prod(_u16783, _u16782), tc_HOL_Obool)), _u16785), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16782, _u16783), tc_HOL_Obool), tc_fun(tc_prod(_u16783, _u16782), tc_HOL_Obool), _u16784), c_Relation_Oconverse(_u16782, _u16783)), _u16786))) )).
% 27.71/27.96 cnf(matrix-6979, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16787, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16788, tc_fun(_u16787, tc_HOL_Obool)), _u16789), _u16790)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16791, tc_fun(_u16787, tc_HOL_Obool)), _u16792), _u16793)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16788, tc_fun(_u16787, tc_HOL_Obool)), _u16789), hAPP(hAPP(c_COMBB(tc_fun(_u16791, tc_fun(_u16787, tc_HOL_Obool)), tc_fun(_u16787, tc_HOL_Obool), _u16788), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16791, tc_fun(_u16787, tc_HOL_Obool)), _u16792)), hAPP(hAPP(c_COMBC(_u16788, tc_fun(_u16791, tc_fun(_u16787, tc_HOL_Obool)), tc_fun(_u16791, tc_fun(_u16787, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16787, tc_HOL_Obool), tc_fun(_u16787, tc_HOL_Obool)), tc_fun(tc_fun(_u16791, tc_fun(_u16787, tc_HOL_Obool)), tc_fun(_u16791, tc_fun(_u16787, tc_HOL_Obool))), _u16788), c_COMBB(tc_fun(_u16787, tc_HOL_Obool), tc_fun(_u16787, tc_HOL_Obool), _u16791)), hAPP(hAPP(c_COMBB(tc_fun(_u16787, tc_HOL_Obool), tc_fun(tc_fun(_u16787, tc_HOL_Obool), tc_fun(_u16787, tc_HOL_Obool)), _u16788), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16787, tc_HOL_Obool))), _u16790))), _u16793)))) )).
% 27.71/27.96 cnf(matrix-6980, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16794, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16795, tc_fun(_u16794, tc_HOL_Obool)), _u16796), _u16797)), _u16798) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16795, tc_fun(_u16794, tc_HOL_Obool)), _u16796), hAPP(hAPP(c_COMBC(_u16795, tc_fun(_u16794, tc_HOL_Obool), tc_fun(_u16794, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16794, tc_HOL_Obool), tc_fun(tc_fun(_u16794, tc_HOL_Obool), tc_fun(_u16794, tc_HOL_Obool)), _u16795), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16794, tc_HOL_Obool))), _u16797)), _u16798))) )).
% 27.71/27.96 cnf(matrix-6981, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16799, tc_HOL_Obool)), _u16800), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16801, tc_fun(_u16799, tc_HOL_Obool)), _u16802), _u16803)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16801, tc_fun(_u16799, tc_HOL_Obool)), _u16802), hAPP(hAPP(c_COMBB(tc_fun(_u16799, tc_HOL_Obool), tc_fun(_u16799, tc_HOL_Obool), _u16801), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16799, tc_HOL_Obool)), _u16800)), _u16803))) )).
% 27.71/27.96 cnf(matrix-6982, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16804, tc_HOL_Obool)), _u16805), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16806, tc_fun(_u16804, tc_HOL_Obool)), _u16807), _u16808)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16806, tc_fun(_u16804, tc_HOL_Obool)), _u16807), hAPP(hAPP(c_COMBB(tc_fun(_u16804, tc_HOL_Obool), tc_fun(_u16804, tc_HOL_Obool), _u16806), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16804, tc_HOL_Obool)), _u16805)), _u16808))) )).
% 27.71/27.96 cnf(matrix-6983, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16809, tc_fun(_u16810, tc_HOL_Obool)), _u16811), hAPP(hAPP(c_COMBC(_u16809, tc_fun(_u16810, tc_HOL_Obool), tc_fun(_u16810, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16810, tc_HOL_Obool), tc_fun(tc_fun(_u16810, tc_HOL_Obool), tc_fun(_u16810, tc_HOL_Obool)), _u16809), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16810, tc_HOL_Obool))), _u16812)), _u16813)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16810, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16809, tc_fun(_u16810, tc_HOL_Obool)), _u16811), _u16812)), _u16813)) )).
% 27.71/27.96 cnf(matrix-6984, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16814, tc_fun(_u16815, tc_HOL_Obool)), _u16816), hAPP(hAPP(c_COMBB(tc_fun(_u16815, tc_HOL_Obool), tc_fun(_u16815, tc_HOL_Obool), _u16814), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16815, tc_HOL_Obool)), _u16817)), _u16818)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16815, tc_HOL_Obool)), _u16817), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16814, tc_fun(_u16815, tc_HOL_Obool)), _u16816), _u16818))) )).
% 27.71/27.96 cnf(matrix-6985, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16819, tc_fun(_u16820, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16819, tc_HOL_Obool)), _u16821), _u16822)), _u16823) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16820, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16819, tc_fun(_u16820, tc_HOL_Obool)), _u16821), _u16823)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16819, tc_fun(_u16820, tc_HOL_Obool)), _u16822), _u16823))) )).
% 27.71/27.96 cnf(matrix-6986, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16824) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16825, tc_HOL_Obool)), _u16826), _u16827)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16824), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16825, _u16824), _u16827), _u16828)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16825, _u16824), _u16826), _u16828))) )).
% 27.71/27.96 cnf(matrix-6987, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16829, tc_fun(_u16830, tc_HOL_Obool)), _u16831), _u16832) = hAPP(c_Set_OCollect(_u16830), hAPP(hAPP(c_COMBB(tc_fun(_u16829, tc_HOL_Obool), tc_HOL_Obool, _u16830), c_HOL_OAll(_u16829)), hAPP(hAPP(c_COMBB(tc_fun(_u16829, tc_HOL_Obool), tc_fun(_u16829, tc_HOL_Obool), _u16830), hAPP(c_COMBS(_u16829, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16829), c_fimplies), hAPP(hAPP(c_COMBC(_u16829, tc_fun(_u16829, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16829)), _u16831)))), hAPP(hAPP(c_COMBC(_u16830, tc_fun(_u16829, tc_fun(_u16830, tc_HOL_Obool)), tc_fun(_u16829, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16830, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u16829, tc_fun(_u16830, tc_HOL_Obool)), tc_fun(_u16829, tc_HOL_Obool)), _u16830), c_COMBB(tc_fun(_u16830, tc_HOL_Obool), tc_HOL_Obool, _u16829)), c_member(_u16830))), _u16832))))) )).
% 27.71/27.96 cnf(matrix-6988, plain, ( ( _u16838 != c_Orderings_Obot__class_Obot(tc_fun(_u16840, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16840, tc_fun(_u16842, tc_HOL_Obool)), _u16838), hAPP(hAPP(c_COMBC(_u16840, tc_fun(_u16842, tc_HOL_Obool), tc_fun(_u16842, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16842, tc_HOL_Obool), tc_fun(tc_fun(_u16842, tc_HOL_Obool), tc_fun(_u16842, tc_HOL_Obool)), _u16840), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16842, tc_HOL_Obool))), _u16844)), _u16846)) = c_Orderings_Otop__class_Otop(tc_fun(_u16842, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-6989, plain, ( ( _u16839 = c_Orderings_Obot__class_Obot(tc_fun(_u16841, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16841, tc_fun(_u16843, tc_HOL_Obool)), _u16839), hAPP(hAPP(c_COMBC(_u16841, tc_fun(_u16843, tc_HOL_Obool), tc_fun(_u16843, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16843, tc_HOL_Obool), tc_fun(tc_fun(_u16843, tc_HOL_Obool), tc_fun(_u16843, tc_HOL_Obool)), _u16841), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16843, tc_HOL_Obool))), _u16845)), _u16847)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16843, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16841, tc_fun(_u16843, tc_HOL_Obool)), _u16839), _u16845)), _u16847)) )).
% 27.71/27.96 cnf(matrix-6990, plain, ( ( _u16853 != c_Orderings_Obot__class_Obot(tc_fun(_u16855, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16855, tc_fun(_u16857, tc_HOL_Obool)), _u16853), hAPP(hAPP(c_COMBB(tc_fun(_u16857, tc_HOL_Obool), tc_fun(_u16857, tc_HOL_Obool), _u16855), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16857, tc_HOL_Obool)), _u16859)), _u16861)) = c_Orderings_Otop__class_Otop(tc_fun(_u16857, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-6991, plain, ( ( _u16854 = c_Orderings_Obot__class_Obot(tc_fun(_u16856, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16856, tc_fun(_u16858, tc_HOL_Obool)), _u16854), hAPP(hAPP(c_COMBB(tc_fun(_u16858, tc_HOL_Obool), tc_fun(_u16858, tc_HOL_Obool), _u16856), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16858, tc_HOL_Obool)), _u16860)), _u16862)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16858, tc_HOL_Obool)), _u16860), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16856, tc_fun(_u16858, tc_HOL_Obool)), _u16854), _u16862))) )).
% 27.71/27.96 cnf(matrix-6992, plain, ( ( _u16868 != c_Orderings_Obot__class_Obot(tc_fun(_u16870, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16870, tc_fun(_u16872, tc_HOL_Obool)), _u16868), hAPP(hAPP(c_COMBC(_u16870, tc_fun(_u16872, tc_HOL_Obool), tc_fun(_u16872, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16872, tc_HOL_Obool), tc_fun(tc_fun(_u16872, tc_HOL_Obool), tc_fun(_u16872, tc_HOL_Obool)), _u16870), c_Groups_Ominus__class_Ominus(tc_fun(_u16872, tc_HOL_Obool))), _u16874)), _u16876)) = c_Orderings_Otop__class_Otop(tc_fun(_u16872, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-6993, plain, ( ( _u16869 = c_Orderings_Obot__class_Obot(tc_fun(_u16871, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16871, tc_fun(_u16873, tc_HOL_Obool)), _u16869), hAPP(hAPP(c_COMBC(_u16871, tc_fun(_u16873, tc_HOL_Obool), tc_fun(_u16873, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16873, tc_HOL_Obool), tc_fun(tc_fun(_u16873, tc_HOL_Obool), tc_fun(_u16873, tc_HOL_Obool)), _u16871), c_Groups_Ominus__class_Ominus(tc_fun(_u16873, tc_HOL_Obool))), _u16875)), _u16877)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16873, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16871, tc_fun(_u16873, tc_HOL_Obool)), _u16869), _u16875)), _u16877)) )).
% 27.71/27.96 cnf(matrix-6994, plain, ( ( _u16883 != c_Orderings_Obot__class_Obot(tc_fun(_u16885, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16887, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16885, tc_fun(_u16887, tc_HOL_Obool)), _u16883), _u16889)), _u16891) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16887, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16887, tc_HOL_Obool))), _u16891)) )).
% 27.71/27.96 cnf(matrix-6995, plain, ( ( _u16884 = c_Orderings_Obot__class_Obot(tc_fun(_u16886, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16888, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16886, tc_fun(_u16888, tc_HOL_Obool)), _u16884), _u16890)), _u16892) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16886, tc_fun(_u16888, tc_HOL_Obool)), _u16884), hAPP(hAPP(c_COMBC(_u16886, tc_fun(_u16888, tc_HOL_Obool), tc_fun(_u16888, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16888, tc_HOL_Obool), tc_fun(tc_fun(_u16888, tc_HOL_Obool), tc_fun(_u16888, tc_HOL_Obool)), _u16886), c_Groups_Ominus__class_Ominus(tc_fun(_u16888, tc_HOL_Obool))), _u16890)), _u16892))) )).
% 27.71/27.96 cnf(matrix-6996, plain, ( ( _u16898 != c_Orderings_Obot__class_Obot(tc_fun(_u16900, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16902, tc_HOL_Obool)), _u16904), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16900, tc_fun(_u16902, tc_HOL_Obool)), _u16898), _u16906)) = _u16904) )).
% 27.71/27.96 cnf(matrix-6997, plain, ( ( _u16899 = c_Orderings_Obot__class_Obot(tc_fun(_u16901, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16903, tc_HOL_Obool)), _u16905), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16901, tc_fun(_u16903, tc_HOL_Obool)), _u16899), _u16907)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16901, tc_fun(_u16903, tc_HOL_Obool)), _u16899), hAPP(hAPP(c_COMBB(tc_fun(_u16903, tc_HOL_Obool), tc_fun(_u16903, tc_HOL_Obool), _u16901), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16903, tc_HOL_Obool)), _u16905)), _u16907))) )).
% 27.71/27.96 cnf(matrix-6998, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16908) | ~hBOOL(hAPP(hAPP(c_member(_u16909), _u16910), _u16911)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16908), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16909, _u16908), _u16911), _u16912)), hAPP(_u16912, _u16910))) )).
% 27.71/27.96 cnf(matrix-6999, 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))) )).
% 27.71/27.96 cnf(matrix-7000, plain, ( ( _u16918 != c_Orderings_Obot__class_Obot(tc_fun(_u16920, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16920, tc_fun(_u16922, tc_HOL_Obool)), _u16918), hAPP(hAPP(c_COMBB(tc_fun(_u16922, tc_HOL_Obool), tc_fun(_u16922, tc_HOL_Obool), _u16920), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16922, tc_HOL_Obool)), _u16924)), _u16926)) = c_Orderings_Otop__class_Otop(tc_fun(_u16922, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7001, plain, ( ( _u16919 = c_Orderings_Obot__class_Obot(tc_fun(_u16921, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16921, tc_fun(_u16923, tc_HOL_Obool)), _u16919), hAPP(hAPP(c_COMBB(tc_fun(_u16923, tc_HOL_Obool), tc_fun(_u16923, tc_HOL_Obool), _u16921), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16923, tc_HOL_Obool)), _u16925)), _u16927)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16923, tc_HOL_Obool)), _u16925), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16921, tc_fun(_u16923, tc_HOL_Obool)), _u16919), _u16927))) )).
% 27.71/27.96 cnf(matrix-7002, plain, ( ~c_Relation_Osingle__valued(_u16928, _u16929, hAPP(c_Relation_Oconverse(_u16929, _u16928), _u16930)) | ( _u16931 = c_Orderings_Obot__class_Obot(tc_fun(_u16932, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u16929, _u16928, _u16930), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16932, tc_fun(_u16929, tc_HOL_Obool)), _u16931), _u16933)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16932, tc_fun(_u16928, tc_HOL_Obool)), _u16931), hAPP(hAPP(c_COMBB(tc_fun(_u16929, tc_HOL_Obool), tc_fun(_u16928, tc_HOL_Obool), _u16932), c_Relation_OImage(_u16929, _u16928, _u16930)), _u16933))) )).
% 27.71/27.96 cnf(matrix-7003, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16935), _u16936)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16934), _u16937), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16935, _u16934), _u16936), _u16938)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16935, _u16934, hAPP(hAPP(c_COMBB(_u16934, tc_fun(_u16934, _u16934), _u16935), c_Lattices_Osemilattice__inf__class_Oinf(_u16934)), _u16938)), _u16937), _u16936)) )).
% 27.71/27.96 cnf(matrix-7004, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16939) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16939), _u16940)) | ( c_Complete__Lattice_OInf__class_OInf(_u16939, _u16940) = hAPP(hAPP(c_Finite__Set_Ofold(_u16939, _u16939, c_Lattices_Osemilattice__inf__class_Oinf(_u16939)), c_Orderings_Otop__class_Otop(_u16939)), _u16940)) )).
% 27.71/27.96 cnf(matrix-7005, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16941) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16941), _u16942)) | ( c_Complete__Lattice_OSup__class_OSup(_u16941, _u16942) = hAPP(hAPP(c_Finite__Set_Ofold(_u16941, _u16941, c_Lattices_Osemilattice__sup__class_Osup(_u16941)), c_Orderings_Obot__class_Obot(_u16941)), _u16942)) )).
% 27.71/27.96 cnf(matrix-7006, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16944, tc_HOL_Obool)), _u16943), _u16945)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16944), _u16943)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16944), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16944, tc_HOL_Obool), _u16945))) )).
% 27.71/27.96 cnf(matrix-7007, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16946, tc_HOL_Obool)), _u16947), _u16948)) | ~hBOOL(hAPP(hAPP(c_member(_u16946), _u16949), _u16947)) | hBOOL(hAPP(hAPP(c_member(_u16946), _u16949), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16946, tc_HOL_Obool), _u16948))) )).
% 27.71/27.96 cnf(matrix-7008, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16950), _u16951), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16950, tc_HOL_Obool), _u16952))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16950, tc_HOL_Obool)), _u16953), _u16952)) | hBOOL(hAPP(hAPP(c_member(_u16950), _u16951), _u16953)) )).
% 27.71/27.96 cnf(matrix-7009, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16954), _u16955), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16954, tc_HOL_Obool), _u16956))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16954, tc_HOL_Obool)), _u16957), _u16956)) | hBOOL(hAPP(hAPP(c_member(_u16954), _u16955), _u16957)) )).
% 27.71/27.96 cnf(matrix-7010, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16958, tc_fun(_u16959, tc_HOL_Obool)), _u16960), _u16961) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16959, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16958, tc_fun(_u16959, tc_HOL_Obool), _u16961), _u16960))) )).
% 27.71/27.96 cnf(matrix-7011, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16962, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16963, tc_fun(_u16962, tc_HOL_Obool), _u16964), _u16965)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16963, tc_fun(_u16962, tc_HOL_Obool)), _u16965), _u16964)) )).
% 27.71/27.96 cnf(matrix-7012, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16966, tc_HOL_Obool), tc_fun(_u16967, tc_HOL_Obool)), _u16968), hAPP(hAPP(c_COMBC(tc_fun(_u16966, tc_HOL_Obool), tc_fun(_u16966, tc_fun(_u16967, tc_HOL_Obool)), tc_fun(_u16967, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16966, tc_fun(_u16967, tc_HOL_Obool))), _u16969)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16966, tc_fun(_u16967, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16966, tc_HOL_Obool), _u16968)), _u16969)) )).
% 27.71/27.96 cnf(matrix-7013, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16970, tc_fun(_u16971, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16970, tc_HOL_Obool), _u16972)), _u16973) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16970, tc_HOL_Obool), tc_fun(_u16971, tc_HOL_Obool)), _u16972), hAPP(hAPP(c_COMBC(tc_fun(_u16970, tc_HOL_Obool), tc_fun(_u16970, tc_fun(_u16971, tc_HOL_Obool)), tc_fun(_u16971, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16970, tc_fun(_u16971, tc_HOL_Obool))), _u16973))) )).
% 27.71/27.96 cnf(matrix-7014, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16981, tc_fun(_u16983, tc_HOL_Obool)), _u16985), _u16987), _u16989)) | ~hBOOL(hAPP(hAPP(c_member(_u16981), _u16974), _u16985)) | hBOOL(hAPP(hAPP(_u16987, _u16974), _u16989)) )).
% 27.71/27.96 cnf(matrix-7015, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16982, tc_fun(_u16984, tc_HOL_Obool)), _u16986), _u16988), _u16990)) | hBOOL(hAPP(hAPP(c_member(_u16982), skolem408(_u16990, _u16988, _u16986, _u16984, _u16982)), _u16986)) )).
% 27.71/27.96 cnf(matrix-7016, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16982, tc_fun(_u16984, tc_HOL_Obool)), _u16986), _u16988), _u16990)) | ~hBOOL(hAPP(hAPP(_u16988, skolem408(_u16990, _u16988, _u16986, _u16984, _u16982)), _u16990)) )).
% 27.71/27.96 cnf(matrix-7017, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17000, tc_fun(_u17002, tc_fun(_u17004, tc_HOL_Obool))), _u17006), _u17008), _u17010), _u17012)) | ~hBOOL(hAPP(hAPP(c_member(_u17000), _u16991), _u17006)) | hBOOL(hAPP(hAPP(hAPP(_u17008, _u16991), _u17010), _u17012)) )).
% 27.71/27.96 cnf(matrix-7018, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17001, tc_fun(_u17003, tc_fun(_u17005, tc_HOL_Obool))), _u17007), _u17009), _u17011), _u17013)) | hBOOL(hAPP(hAPP(c_member(_u17001), skolem409(_u17013, _u17011, _u17009, _u17007, _u17005, _u17003, _u17001)), _u17007)) )).
% 27.71/27.96 cnf(matrix-7019, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17001, tc_fun(_u17003, tc_fun(_u17005, tc_HOL_Obool))), _u17007), _u17009), _u17011), _u17013)) | ~hBOOL(hAPP(hAPP(hAPP(_u17009, skolem409(_u17013, _u17011, _u17009, _u17007, _u17005, _u17003, _u17001)), _u17011), _u17013)) )).
% 27.71/27.96 cnf(matrix-7020, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17014, tc_HOL_Obool)), _u17015), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17014, tc_HOL_Obool), _u17016)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u17014, tc_HOL_Obool), tc_fun(_u17014, tc_HOL_Obool)), _u17016), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17014, tc_HOL_Obool)), _u17015))) )).
% 27.71/27.96 cnf(matrix-7021, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17017, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17017, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u17017, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7022, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17018, tc_HOL_Obool), _u17019) = hAPP(c_Set_OCollect(_u17018), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17018, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u17018), c_HOL_OAll(tc_fun(_u17018, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17018, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u17018, tc_HOL_Obool), tc_HOL_Obool), _u17018), hAPP(c_COMBS(tc_fun(_u17018, 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(_u17018, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u17018, tc_HOL_Obool), tc_fun(tc_fun(_u17018, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u17018, tc_HOL_Obool))), _u17019)))), c_member(_u17018))))) )).
% 27.71/27.96 cnf(matrix-7023, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17020, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17020, tc_HOL_Obool)), _u17021), _u17022)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17020, tc_HOL_Obool)), _u17021), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17020, tc_HOL_Obool), _u17022))) )).
% 27.71/27.96 cnf(matrix-7024, plain, ( ~c_Equiv__Relations_Oequiv(_u17023, _u17024, _u17025) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17023, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u17023), _u17024), _u17025)) = _u17024) )).
% 27.71/27.96 cnf(matrix-7025, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17028) | ~class_Orderings_Olinorder(_u17028) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17028), c_Complete__Lattice_OInf__class_OInf(_u17028, _u17029)), _u17030)) | hBOOL(hAPP(hAPP(c_member(_u17028), skolem410(_u17030, _u17029, _u17028)), _u17029)) )).
% 27.71/27.96 cnf(matrix-7026, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17028) | ~class_Orderings_Olinorder(_u17028) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17028), c_Complete__Lattice_OInf__class_OInf(_u17028, _u17029)), _u17030)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17028), skolem410(_u17030, _u17029, _u17028)), _u17030)) )).
% 27.71/27.96 cnf(matrix-7027, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17028) | ~class_Orderings_Olinorder(_u17028) | ~hBOOL(hAPP(hAPP(c_member(_u17028), _u17027), _u17029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17028), _u17027), _u17030)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17028), c_Complete__Lattice_OInf__class_OInf(_u17028, _u17029)), _u17030)) )).
% 27.71/27.96 cnf(matrix-7028, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17033) | ~class_Orderings_Olinorder(_u17033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17033), _u17034), c_Complete__Lattice_OSup__class_OSup(_u17033, _u17035))) | hBOOL(hAPP(hAPP(c_member(_u17033), skolem411(_u17035, _u17034, _u17033)), _u17035)) )).
% 27.71/27.96 cnf(matrix-7029, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17033) | ~class_Orderings_Olinorder(_u17033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17033), _u17034), c_Complete__Lattice_OSup__class_OSup(_u17033, _u17035))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17033), _u17034), skolem411(_u17035, _u17034, _u17033))) )).
% 27.71/27.96 cnf(matrix-7030, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17033) | ~class_Orderings_Olinorder(_u17033) | ~hBOOL(hAPP(hAPP(c_member(_u17033), _u17032), _u17035)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17033), _u17034), _u17032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17033), _u17034), c_Complete__Lattice_OSup__class_OSup(_u17033, _u17035))) )).
% 27.71/27.96 cnf(matrix-7031, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17036, tc_HOL_Obool), hAPP(c_Set_OPow(_u17036), _u17037)) = _u17037) )).
% 27.71/27.96 cnf(matrix-7032, plain, ( ( hAPP(c_Relation_OField(_u17038), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u17038, _u17038), tc_HOL_Obool), _u17039)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17038, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u17038, _u17038), tc_HOL_Obool), tc_fun(_u17038, tc_HOL_Obool), c_Relation_OField(_u17038)), _u17039))) )).
% 27.71/27.96 cnf(matrix-7033, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17040, tc_HOL_Obool)), _u17041), _u17042)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17040, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17040, tc_HOL_Obool), _u17042)), _u17041)) )).
% 27.71/27.96 cnf(matrix-7034, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17045), c_Complete__Lattice_OSup__class_OSup(_u17045, _u17046)), _u17047)) | ~hBOOL(hAPP(hAPP(c_member(_u17045), _u17043), _u17046)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17045), _u17043), _u17047)) )).
% 27.71/27.96 cnf(matrix-7035, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17045) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17045), c_Complete__Lattice_OSup__class_OSup(_u17045, _u17046)), _u17047)) | hBOOL(hAPP(hAPP(c_member(_u17045), skolem412(_u17047, _u17046, _u17045)), _u17046)) )).
% 27.71/27.96 cnf(matrix-7036, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17045) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17045), c_Complete__Lattice_OSup__class_OSup(_u17045, _u17046)), _u17047)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17045), skolem412(_u17047, _u17046, _u17045)), _u17047)) )).
% 27.71/27.96 cnf(matrix-7037, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17050), _u17051), c_Complete__Lattice_OInf__class_OInf(_u17050, _u17052))) | ~hBOOL(hAPP(hAPP(c_member(_u17050), _u17048), _u17052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17050), _u17051), _u17048)) )).
% 27.71/27.96 cnf(matrix-7038, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17050), _u17051), c_Complete__Lattice_OInf__class_OInf(_u17050, _u17052))) | hBOOL(hAPP(hAPP(c_member(_u17050), skolem413(_u17052, _u17051, _u17050)), _u17052)) )).
% 27.71/27.96 cnf(matrix-7039, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17050), _u17051), c_Complete__Lattice_OInf__class_OInf(_u17050, _u17052))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17050), _u17051), skolem413(_u17052, _u17051, _u17050))) )).
% 27.71/27.96 cnf(matrix-7040, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17053, tc_HOL_Obool)), _u17054), _u17055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17053, tc_HOL_Obool)), _u17054), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17053, tc_HOL_Obool), _u17055))) )).
% 27.71/27.96 cnf(matrix-7041, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u17056, tc_HOL_Obool), tc_HOL_Obool)), _u17057), _u17058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17056, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17056, tc_HOL_Obool), _u17057)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17056, tc_HOL_Obool), _u17058))) )).
% 27.71/27.96 cnf(matrix-7042, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17059, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17059, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u17059, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7043, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17065, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17065, tc_HOL_Obool), _u17067)), _u17069) != c_Orderings_Obot__class_Obot(tc_fun(_u17065, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17065, tc_HOL_Obool)), _u17060), _u17067)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17065, tc_HOL_Obool)), _u17060), _u17069) = c_Orderings_Obot__class_Obot(tc_fun(_u17065, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7044, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17066, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17066, tc_HOL_Obool), _u17068)), _u17070) = c_Orderings_Obot__class_Obot(tc_fun(_u17066, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17066, tc_HOL_Obool)), skolem414(_u17070, _u17068, _u17066)), _u17068)) )).
% 27.71/27.96 cnf(matrix-7045, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17066, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17066, tc_HOL_Obool), _u17068)), _u17070) = c_Orderings_Obot__class_Obot(tc_fun(_u17066, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17066, tc_HOL_Obool)), skolem414(_u17070, _u17068, _u17066)), _u17070) != c_Orderings_Obot__class_Obot(tc_fun(_u17066, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7046, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17071), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17071, tc_HOL_Obool), _u17072))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17071, tc_HOL_Obool)), _u17072)) )).
% 27.71/27.96 cnf(matrix-7047, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17073) | ( c_Complete__Lattice_OSup__class_OSup(_u17073, _u17074) = c_Complete__Lattice_OInf__class_OInf(_u17073, hAPP(c_Set_OCollect(_u17073), hAPP(hAPP(c_COMBB(tc_fun(_u17073, tc_HOL_Obool), tc_HOL_Obool, _u17073), c_HOL_OAll(_u17073)), hAPP(hAPP(c_COMBB(tc_fun(_u17073, tc_HOL_Obool), tc_fun(_u17073, tc_HOL_Obool), _u17073), hAPP(c_COMBS(_u17073, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17073), c_fimplies), hAPP(hAPP(c_COMBC(_u17073, tc_fun(_u17073, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17073)), _u17074)))), hAPP(c_COMBC(_u17073, _u17073, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u17073))))))) )).
% 27.71/27.96 cnf(matrix-7048, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17075) | ( c_Complete__Lattice_OInf__class_OInf(_u17075, _u17076) = c_Complete__Lattice_OSup__class_OSup(_u17075, hAPP(c_Set_OCollect(_u17075), hAPP(hAPP(c_COMBB(tc_fun(_u17075, tc_HOL_Obool), tc_HOL_Obool, _u17075), c_HOL_OAll(_u17075)), hAPP(hAPP(c_COMBB(tc_fun(_u17075, tc_HOL_Obool), tc_fun(_u17075, tc_HOL_Obool), _u17075), hAPP(c_COMBS(_u17075, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17075), c_fimplies), hAPP(hAPP(c_COMBC(_u17075, tc_fun(_u17075, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17075)), _u17076)))), c_Orderings_Oord__class_Oless__eq(_u17075)))))) )).
% 27.71/27.96 cnf(matrix-7049, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u17077, tc_HOL_Obool), tc_HOL_Obool)), _u17078), hAPP(c_Set_OPow(_u17077), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17077, tc_HOL_Obool), _u17078)))) )).
% 27.71/27.96 cnf(matrix-7050, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u17079, tc_HOL_Obool), tc_HOL_Obool)), _u17080), _u17081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17079, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17079, tc_HOL_Obool), _u17081)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17079, tc_HOL_Obool), _u17080))) )).
% 27.71/27.96 cnf(matrix-7051, plain, ( ( hAPP(c_Relation_ODomain(_u17082, _u17083), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u17082, _u17083), tc_HOL_Obool), _u17084)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u17082, _u17083), tc_HOL_Obool), tc_fun(_u17082, tc_HOL_Obool)), _u17084), c_Relation_ODomain(_u17082, _u17083))) )).
% 27.71/27.96 cnf(matrix-7052, plain, ( ( hAPP(c_Relation_ORange(_u17085, _u17086), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u17085, _u17086), tc_HOL_Obool), _u17087)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u17085, _u17086), tc_HOL_Obool), tc_fun(_u17086, tc_HOL_Obool)), _u17087), c_Relation_ORange(_u17085, _u17086))) )).
% 27.71/27.96 cnf(matrix-7053, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u17088, _u17089), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17088, tc_HOL_Obool), _u17090)), _u17091) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17088, tc_HOL_Obool), tc_fun(tc_prod(_u17088, _u17089), tc_HOL_Obool)), _u17090), hAPP(hAPP(c_COMBC(tc_fun(_u17088, tc_HOL_Obool), tc_fun(_u17088, tc_fun(_u17089, tc_HOL_Obool)), tc_fun(tc_prod(_u17088, _u17089), tc_HOL_Obool)), c_Product__Type_OSigma(_u17088, _u17089)), _u17091))) )).
% 27.71/27.96 cnf(matrix-7054, plain, ( ( hAPP(c_Set_Ovimage(_u17092, _u17093, _u17094), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17093, tc_HOL_Obool), _u17095)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17093, tc_HOL_Obool), tc_fun(_u17092, tc_HOL_Obool)), _u17095), c_Set_Ovimage(_u17092, _u17093, _u17094))) )).
% 27.71/27.96 cnf(matrix-7055, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17096, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17096, tc_HOL_Obool), _u17097)), _u17098) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17096, tc_HOL_Obool), tc_fun(_u17096, tc_HOL_Obool)), _u17097), hAPP(hAPP(c_COMBC(tc_fun(_u17096, tc_HOL_Obool), tc_fun(_u17096, tc_HOL_Obool), tc_fun(_u17096, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17096, tc_HOL_Obool))), _u17098))) )).
% 27.71/27.96 cnf(matrix-7056, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17099, tc_HOL_Obool)), _u17100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17099, tc_HOL_Obool), _u17101)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17099, tc_HOL_Obool), tc_fun(_u17099, tc_HOL_Obool)), _u17101), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17099, tc_HOL_Obool)), _u17100))) )).
% 27.71/27.96 cnf(matrix-7057, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17102, tc_fun(_u17103, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17102, tc_HOL_Obool), _u17104)), _u17105) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17102, tc_HOL_Obool), tc_fun(_u17103, tc_HOL_Obool)), _u17104), hAPP(hAPP(c_COMBC(tc_fun(_u17102, tc_HOL_Obool), tc_fun(_u17102, tc_fun(_u17103, tc_HOL_Obool)), tc_fun(_u17103, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17102, tc_fun(_u17103, tc_HOL_Obool))), _u17105))) )).
% 27.71/27.96 cnf(matrix-7058, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17106, tc_HOL_Obool), tc_fun(_u17107, tc_HOL_Obool)), _u17108), hAPP(hAPP(c_COMBC(tc_fun(_u17106, tc_HOL_Obool), tc_fun(_u17106, tc_fun(_u17107, tc_HOL_Obool)), tc_fun(_u17107, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17106, tc_fun(_u17107, tc_HOL_Obool))), _u17109)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17106, tc_fun(_u17107, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17106, tc_HOL_Obool), _u17108)), _u17109)) )).
% 27.71/27.96 cnf(matrix-7059, plain, ( ( hAPP(c_Set_Oimage(_u17110, _u17111, _u17112), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17110, tc_HOL_Obool), _u17113)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17110, tc_HOL_Obool), tc_fun(_u17111, tc_HOL_Obool)), _u17113), c_Set_Oimage(_u17110, _u17111, _u17112))) )).
% 27.71/27.96 cnf(matrix-7060, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17114, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u17114, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u17114, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7061, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17115, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u17115, tc_HOL_Obool), tc_HOL_Obool)), _u17116), _u17117)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17115, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17115, tc_HOL_Obool), _u17116)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17115, tc_HOL_Obool), _u17117))) )).
% 27.71/27.96 cnf(matrix-7062, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17118, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17118, tc_HOL_Obool)), _u17119), _u17120)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17118, tc_HOL_Obool)), _u17119), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17118, tc_HOL_Obool), _u17120))) )).
% 27.71/27.96 cnf(matrix-7063, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17121, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17122, tc_fun(_u17121, tc_HOL_Obool), _u17123), _u17124)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17122, tc_fun(_u17121, tc_HOL_Obool)), _u17124), _u17123)) )).
% 27.71/27.96 cnf(matrix-7064, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17125, tc_fun(_u17126, tc_HOL_Obool)), _u17127), _u17128) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17126, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17125, tc_fun(_u17126, tc_HOL_Obool), _u17128), _u17127))) )).
% 27.71/27.96 cnf(matrix-7065, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17129) | ~hBOOL(hAPP(hAPP(c_member(_u17129), _u17130), _u17131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17129), _u17130), c_Complete__Lattice_OSup__class_OSup(_u17129, _u17131))) )).
% 27.71/27.96 cnf(matrix-7066, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17132, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u17132, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u17132, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7067, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17133) | ~hBOOL(hAPP(hAPP(c_member(_u17133), _u17134), _u17135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17133), c_Complete__Lattice_OInf__class_OInf(_u17133, _u17135)), _u17134)) )).
% 27.71/27.96 cnf(matrix-7068, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17136, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u17136, tc_HOL_Obool), tc_HOL_Obool)), _u17137), _u17138)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17136, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17136, tc_HOL_Obool), _u17137)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17136, tc_HOL_Obool), _u17138))) )).
% 27.71/27.96 cnf(matrix-7069, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17139) | ( c_Complete__Lattice_OSup__class_OSup(_u17139, c_Orderings_Obot__class_Obot(tc_fun(_u17139, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u17139)) )).
% 27.71/27.96 cnf(matrix-7070, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17140) | ( c_Complete__Lattice_OSup__class_OSup(_u17140, hAPP(hAPP(c_Set_Oinsert(_u17140), _u17141), c_Orderings_Obot__class_Obot(tc_fun(_u17140, tc_HOL_Obool)))) = _u17141) )).
% 27.71/27.96 cnf(matrix-7071, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17142) | ( c_Complete__Lattice_OSup__class_OSup(_u17142, hAPP(hAPP(c_Set_Oinsert(_u17142), _u17143), _u17144)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17142), _u17143), c_Complete__Lattice_OSup__class_OSup(_u17142, _u17144))) )).
% 27.71/27.96 cnf(matrix-7072, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17145, tc_fun(_u17146, tc_HOL_Obool)), _u17147), hAPP(hAPP(c_COMBS(_u17145, tc_fun(_u17146, tc_HOL_Obool), tc_fun(_u17146, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17146, tc_HOL_Obool), tc_fun(tc_fun(_u17146, tc_HOL_Obool), tc_fun(_u17146, tc_HOL_Obool)), _u17145), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17146, tc_HOL_Obool))), _u17148)), _u17149)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17146, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17146, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17145, tc_fun(_u17146, tc_HOL_Obool), _u17148), _u17147))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17146, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17145, tc_fun(_u17146, tc_HOL_Obool), _u17149), _u17147)))) )).
% 27.71/27.96 cnf(matrix-7073, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17150) | ( c_Complete__Lattice_OSup__class_OSup(_u17150, c_Orderings_Otop__class_Otop(tc_fun(_u17150, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u17150)) )).
% 27.71/27.96 cnf(matrix-7074, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17151) | ( c_Complete__Lattice_OInf__class_OInf(_u17151, hAPP(hAPP(c_Set_Oinsert(_u17151), _u17152), c_Orderings_Obot__class_Obot(tc_fun(_u17151, tc_HOL_Obool)))) = _u17152) )).
% 27.71/27.96 cnf(matrix-7075, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17153) | ( c_Complete__Lattice_OInf__class_OInf(_u17153, c_Orderings_Obot__class_Obot(tc_fun(_u17153, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u17153)) )).
% 27.71/27.96 cnf(matrix-7076, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17154) | ( c_Complete__Lattice_OInf__class_OInf(_u17154, c_Orderings_Otop__class_Otop(tc_fun(_u17154, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u17154)) )).
% 27.71/27.96 cnf(matrix-7077, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17155) | ( c_Complete__Lattice_OInf__class_OInf(_u17155, hAPP(hAPP(c_Set_Oinsert(_u17155), _u17156), _u17157)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17155), _u17156), c_Complete__Lattice_OInf__class_OInf(_u17155, _u17157))) )).
% 27.71/27.96 cnf(matrix-7078, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17158, tc_HOL_Obool)), _u17159), _u17160) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17158, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17158, tc_HOL_Obool)), _u17159), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17158, tc_HOL_Obool)), _u17160), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17158, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 27.71/27.96 cnf(matrix-7079, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17161, tc_fun(_u17162, tc_HOL_Obool)), _u17163), hAPP(hAPP(c_COMBS(_u17161, tc_fun(_u17162, tc_HOL_Obool), tc_fun(_u17162, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17162, tc_HOL_Obool), tc_fun(tc_fun(_u17162, tc_HOL_Obool), tc_fun(_u17162, tc_HOL_Obool)), _u17161), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17162, tc_HOL_Obool))), _u17164)), _u17165)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17162, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17162, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17161, tc_fun(_u17162, tc_HOL_Obool), _u17164), _u17163))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17162, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17161, tc_fun(_u17162, tc_HOL_Obool), _u17165), _u17163)))) )).
% 27.71/27.96 cnf(matrix-7080, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17166, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17166, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u17166, tc_HOL_Obool), tc_HOL_Obool)), _u17167), _u17168))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17166, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17166, tc_HOL_Obool), _u17167)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17166, tc_HOL_Obool), _u17168)))) )).
% 27.71/27.96 cnf(matrix-7081, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17169, tc_HOL_Obool)), _u17170), _u17171) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17169, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17169, tc_HOL_Obool)), _u17170), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17169, tc_HOL_Obool)), _u17171), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17169, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 27.71/27.96 cnf(matrix-7082, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17172, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17172, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17172, tc_HOL_Obool), _u17173)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17172, tc_HOL_Obool), _u17174))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17172, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u17172, tc_HOL_Obool), tc_HOL_Obool)), _u17173), _u17174)))) )).
% 27.71/27.96 cnf(matrix-7083, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17175) | ( c_Complete__Lattice_OSup__class_OSup(_u17175, hAPP(hAPP(c_Set_Oinsert(_u17175), _u17176), hAPP(hAPP(c_Set_Oinsert(_u17175), _u17177), c_Orderings_Obot__class_Obot(tc_fun(_u17175, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17175), _u17176), _u17177)) )).
% 27.71/27.96 cnf(matrix-7084, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17178) | ( c_Complete__Lattice_OInf__class_OInf(_u17178, hAPP(hAPP(c_Set_Oinsert(_u17178), _u17179), hAPP(hAPP(c_Set_Oinsert(_u17178), _u17180), c_Orderings_Obot__class_Obot(tc_fun(_u17178, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17178), _u17179), _u17180)) )).
% 27.71/27.96 cnf(matrix-7085, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17181), _u17182)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17181), _u17183), c_Complete__Lattice_OSup__class_OSup(_u17181, _u17182)) = hAPP(hAPP(c_Finite__Set_Ofold(_u17181, _u17181, c_Lattices_Osemilattice__sup__class_Osup(_u17181)), _u17183), _u17182)) )).
% 27.71/27.96 cnf(matrix-7086, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17184) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17184), _u17185)) | ( _u17185 = c_Orderings_Obot__class_Obot(tc_fun(_u17184, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u17184, _u17185) = c_Complete__Lattice_OSup__class_OSup(_u17184, _u17185)) )).
% 27.71/27.96 cnf(matrix-7087, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17186) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17186), _u17187)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17186), _u17188), c_Complete__Lattice_OInf__class_OInf(_u17186, _u17187)) = hAPP(hAPP(c_Finite__Set_Ofold(_u17186, _u17186, c_Lattices_Osemilattice__inf__class_Oinf(_u17186)), _u17188), _u17187)) )).
% 27.71/27.96 cnf(matrix-7088, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17189) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17189), _u17190)) | ( _u17190 = c_Orderings_Obot__class_Obot(tc_fun(_u17189, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u17189, _u17190) = c_Complete__Lattice_OInf__class_OInf(_u17189, _u17190)) )).
% 27.71/27.96 cnf(matrix-7089, plain, ( ~c_Fun_Oinj__on(_u17192, _u17193, _u17194, _u17195) | ~hBOOL(hAPP(hAPP(c_member(_u17196), _u17199), _u17197)) | ( hAPP(c_Set_Oimage(_u17192, _u17193, _u17194), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17196, tc_fun(_u17192, tc_HOL_Obool)), _u17197), _u17198)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17196, tc_fun(_u17193, tc_HOL_Obool)), _u17197), hAPP(hAPP(c_COMBB(tc_fun(_u17192, tc_HOL_Obool), tc_fun(_u17193, tc_HOL_Obool), _u17196), c_Set_Oimage(_u17192, _u17193, _u17194)), _u17198))) | hBOOL(hAPP(hAPP(c_member(_u17196), skolem415(_u17199, _u17198, _u17197, _u17196, _u17195, _u17194, _u17193, _u17192)), _u17197)) )).
% 27.71/27.96 cnf(matrix-7090, plain, ( ~c_Fun_Oinj__on(_u17192, _u17193, _u17194, _u17195) | ~hBOOL(hAPP(hAPP(c_member(_u17196), _u17199), _u17197)) | ( hAPP(c_Set_Oimage(_u17192, _u17193, _u17194), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17196, tc_fun(_u17192, tc_HOL_Obool)), _u17197), _u17198)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17196, tc_fun(_u17193, tc_HOL_Obool)), _u17197), hAPP(hAPP(c_COMBB(tc_fun(_u17192, tc_HOL_Obool), tc_fun(_u17193, tc_HOL_Obool), _u17196), c_Set_Oimage(_u17192, _u17193, _u17194)), _u17198))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17192, tc_HOL_Obool)), hAPP(_u17198, skolem415(_u17199, _u17198, _u17197, _u17196, _u17195, _u17194, _u17193, _u17192))), _u17195)) )).
% 27.71/27.96 cnf(matrix-7091, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem416(_u17205, _u17204, _u17203)), _u17204)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem417(_u17205, _u17204, _u17203)), _u17204)) )).
% 27.71/27.96 cnf(matrix-7092, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem416(_u17205, _u17204, _u17203)), _u17204)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem418(_u17205, _u17204, _u17203)), _u17204)) )).
% 27.71/27.96 cnf(matrix-7093, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem416(_u17205, _u17204, _u17203)), _u17204)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( skolem417(_u17205, _u17204, _u17203) != skolem418(_u17205, _u17204, _u17203)) )).
% 27.71/27.96 cnf(matrix-7094, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem416(_u17205, _u17204, _u17203)), _u17204)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17203, tc_HOL_Obool)), skolem417(_u17205, _u17204, _u17203)), skolem418(_u17205, _u17204, _u17203)) != c_Orderings_Obot__class_Obot(tc_fun(_u17203, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7095, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( hAPP(c_Finite__Set_Ocard(_u17203), skolem416(_u17205, _u17204, _u17203)) != _u17205) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem417(_u17205, _u17204, _u17203)), _u17204)) )).
% 27.71/27.96 cnf(matrix-7096, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( hAPP(c_Finite__Set_Ocard(_u17203), skolem416(_u17205, _u17204, _u17203)) != _u17205) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17203, tc_HOL_Obool)), skolem418(_u17205, _u17204, _u17203)), _u17204)) )).
% 27.71/27.96 cnf(matrix-7097, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( hAPP(c_Finite__Set_Ocard(_u17203), skolem416(_u17205, _u17204, _u17203)) != _u17205) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( skolem417(_u17205, _u17204, _u17203) != skolem418(_u17205, _u17204, _u17203)) )).
% 27.71/27.96 cnf(matrix-7098, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( hAPP(c_Finite__Set_Ocard(_u17203), skolem416(_u17205, _u17204, _u17203)) != _u17205) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17205), hAPP(c_Finite__Set_Ocard(tc_fun(_u17203, tc_HOL_Obool)), _u17204)) = hAPP(c_Finite__Set_Ocard(_u17203), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17203, tc_HOL_Obool), _u17204))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17203, tc_HOL_Obool)), skolem417(_u17205, _u17204, _u17203)), skolem418(_u17205, _u17204, _u17203)) != c_Orderings_Obot__class_Obot(tc_fun(_u17203, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7099, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17206, tc_HOL_Obool), _u17207) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u17206, tc_HOL_Obool), tc_fun(_u17206, tc_HOL_Obool)), _u17207), c_COMBI(tc_fun(_u17206, tc_HOL_Obool)))) )).
% 27.71/27.96 cnf(matrix-7100, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17208, tc_HOL_Obool), _u17209) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u17208, tc_HOL_Obool), tc_fun(_u17208, tc_HOL_Obool)), _u17209), c_COMBI(tc_fun(_u17208, tc_HOL_Obool)))) )).
% 27.71/27.96 cnf(matrix-7101, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17211, tc_HOL_Obool)), _u17212)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17211, tc_HOL_Obool), _u17212))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17211, tc_HOL_Obool)), skolem419(_u17212, _u17211)), _u17212)) )).
% 27.71/27.96 cnf(matrix-7102, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17211, tc_HOL_Obool)), _u17212)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17211, tc_HOL_Obool), _u17212))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17211), skolem419(_u17212, _u17211))) )).
% 27.71/27.96 cnf(matrix-7103, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17215, tc_HOL_Obool)), _u17216), _u17217)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17215, tc_HOL_Obool)), _u17216), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17215, tc_HOL_Obool), _u17217)) = c_Orderings_Obot__class_Obot(tc_fun(_u17215, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17215, tc_HOL_Obool)), skolem420(_u17217, _u17216, _u17215)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17215, tc_HOL_Obool)), _u17216), _u17217))) )).
% 27.71/27.96 cnf(matrix-7104, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17215, tc_HOL_Obool)), _u17216), _u17217)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17215, tc_HOL_Obool)), _u17216), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17215, tc_HOL_Obool), _u17217)) = c_Orderings_Obot__class_Obot(tc_fun(_u17215, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17215, tc_HOL_Obool)), skolem421(_u17217, _u17216, _u17215)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17215, tc_HOL_Obool)), _u17216), _u17217))) )).
% 27.71/27.96 cnf(matrix-7105, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17215, tc_HOL_Obool)), _u17216), _u17217)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17215, tc_HOL_Obool)), _u17216), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17215, tc_HOL_Obool), _u17217)) = c_Orderings_Obot__class_Obot(tc_fun(_u17215, tc_HOL_Obool))) | ( skolem420(_u17217, _u17216, _u17215) != skolem421(_u17217, _u17216, _u17215)) )).
% 27.71/27.96 cnf(matrix-7106, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17215, tc_HOL_Obool)), _u17216), _u17217)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17215, tc_HOL_Obool)), _u17216), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17215, tc_HOL_Obool), _u17217)) = c_Orderings_Obot__class_Obot(tc_fun(_u17215, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17215, tc_HOL_Obool)), skolem420(_u17217, _u17216, _u17215)), skolem421(_u17217, _u17216, _u17215)) != c_Orderings_Obot__class_Obot(tc_fun(_u17215, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7107, plain, ( ( _u17219 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17220, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17220, _u17221, _u17222, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17220, tc_HOL_Obool), _u17219)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17220, tc_HOL_Obool)), skolem422(_u17222, _u17221, _u17220, _u17219)), _u17219)) )).
% 27.71/27.96 cnf(matrix-7108, plain, ( ( _u17219 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17220, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17220, _u17221, _u17222, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17220, tc_HOL_Obool), _u17219)) | ~c_Fun_Oinj__on(_u17220, _u17221, _u17222, skolem422(_u17222, _u17221, _u17220, _u17219)) )).
% 27.71/27.96 cnf(matrix-7109, plain, ( ( _u17225 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17224, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17224, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17224, tc_HOL_Obool), _u17225)), _u17226)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17224, tc_HOL_Obool)), skolem423(_u17226, _u17225, _u17224)), _u17225)) )).
% 27.71/27.96 cnf(matrix-7110, plain, ( ( _u17225 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17224, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17224, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17224, tc_HOL_Obool), _u17225)), _u17226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17224, tc_HOL_Obool)), skolem423(_u17226, _u17225, _u17224)), _u17226)) )).
% 27.71/27.96 cnf(matrix-7111, plain, ( ( _u17228 = c_Orderings_Obot__class_Obot(tc_fun(_u17229, tc_HOL_Obool))) | c_Fun_Oinj__on(_u17230, _u17231, _u17232, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17229, tc_fun(_u17230, tc_HOL_Obool)), _u17228), _u17233)) | hBOOL(hAPP(hAPP(c_member(_u17229), skolem424(_u17233, _u17232, _u17231, _u17230, _u17229, _u17228)), _u17228)) )).
% 27.71/27.96 cnf(matrix-7112, plain, ( ( _u17228 = c_Orderings_Obot__class_Obot(tc_fun(_u17229, tc_HOL_Obool))) | c_Fun_Oinj__on(_u17230, _u17231, _u17232, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17229, tc_fun(_u17230, tc_HOL_Obool)), _u17228), _u17233)) | ~c_Fun_Oinj__on(_u17230, _u17231, _u17232, hAPP(_u17233, skolem424(_u17233, _u17232, _u17231, _u17230, _u17229, _u17228))) )).
% 27.71/27.96 cnf(matrix-7113, plain, ( ~c_Finite__Set_Ofun__left__comm(_u17235, _u17236, _u17237) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u17235, _u17236, _u17237, _u17238, hAPP(hAPP(c_Set_Oinsert(_u17235), _u17239), _u17240)), _u17241)) | hBOOL(hAPP(hAPP(c_member(_u17235), _u17239), _u17240)) | ( _u17241 = hAPP(hAPP(_u17237, _u17239), skolem425(_u17241, _u17240, _u17239, _u17238, _u17237, _u17236, _u17235))) )).
% 27.71/27.96 cnf(matrix-7114, plain, ( ~c_Finite__Set_Ofun__left__comm(_u17235, _u17236, _u17237) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u17235, _u17236, _u17237, _u17238, hAPP(hAPP(c_Set_Oinsert(_u17235), _u17239), _u17240)), _u17241)) | hBOOL(hAPP(hAPP(c_member(_u17235), _u17239), _u17240)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u17235, _u17236, _u17237, _u17238, _u17240), skolem425(_u17241, _u17240, _u17239, _u17238, _u17237, _u17236, _u17235))) )).
% 27.71/27.96 cnf(matrix-7115, plain, ( ~class_Orderings_Olinorder(_u17243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17243), _u17244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17243), hAPP(hAPP(c_Finite__Set_Ofold(_u17243, _u17243, c_Orderings_Oord__class_Omax(_u17243)), _u17246), _u17244)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u17243), _u17245), _u17246))) | hBOOL(hAPP(hAPP(c_member(_u17243), skolem426(_u17246, _u17245, _u17244, _u17243)), _u17244)) )).
% 27.71/27.96 cnf(matrix-7116, plain, ( ~class_Orderings_Olinorder(_u17243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17243), _u17244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17243), hAPP(hAPP(c_Finite__Set_Ofold(_u17243, _u17243, c_Orderings_Oord__class_Omax(_u17243)), _u17246), _u17244)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u17243), _u17245), _u17246))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17243), skolem426(_u17246, _u17245, _u17244, _u17243)), _u17245)) )).
% 27.71/27.96 cnf(matrix-7117, plain, ( ~class_Orderings_Olinorder(_u17248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17248), _u17249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17248), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u17248), _u17250), _u17251)), hAPP(hAPP(c_Finite__Set_Ofold(_u17248, _u17248, c_Orderings_Oord__class_Omin(_u17248)), _u17251), _u17249))) | hBOOL(hAPP(hAPP(c_member(_u17248), skolem427(_u17251, _u17250, _u17249, _u17248)), _u17249)) )).
% 27.71/27.96 cnf(matrix-7118, plain, ( ~class_Orderings_Olinorder(_u17248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17248), _u17249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17248), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u17248), _u17250), _u17251)), hAPP(hAPP(c_Finite__Set_Ofold(_u17248, _u17248, c_Orderings_Oord__class_Omin(_u17248)), _u17251), _u17249))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17248), _u17250), skolem427(_u17251, _u17250, _u17249, _u17248))) )).
% 27.71/27.96 cnf(matrix-7119, plain, ( hBOOL(hAPP(hAPP(c_member(_u17253), _u17255), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17253, tc_HOL_Obool), _u17254))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17253, tc_HOL_Obool)), skolem428(_u17255, _u17254, _u17253)), _u17254)) )).
% 27.71/27.96 cnf(matrix-7120, plain, ( hBOOL(hAPP(hAPP(c_member(_u17253), _u17255), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17253, tc_HOL_Obool), _u17254))) | ~hBOOL(hAPP(hAPP(c_member(_u17253), _u17255), skolem428(_u17255, _u17254, _u17253))) )).
% 27.71/27.96 cnf(matrix-7121, plain, ( ~class_Lattices_Osemilattice__inf(_u17257) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17257), _u17258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17257), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17257), _u17259), _u17260)), hAPP(hAPP(c_Finite__Set_Ofold(_u17257, _u17257, c_Lattices_Osemilattice__inf__class_Oinf(_u17257)), _u17260), _u17258))) | hBOOL(hAPP(hAPP(c_member(_u17257), skolem429(_u17260, _u17259, _u17258, _u17257)), _u17258)) )).
% 27.71/27.96 cnf(matrix-7122, plain, ( ~class_Lattices_Osemilattice__inf(_u17257) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17257), _u17258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17257), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17257), _u17259), _u17260)), hAPP(hAPP(c_Finite__Set_Ofold(_u17257, _u17257, c_Lattices_Osemilattice__inf__class_Oinf(_u17257)), _u17260), _u17258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17257), _u17259), skolem429(_u17260, _u17259, _u17258, _u17257))) )).
% 27.71/27.96 cnf(matrix-7123, plain, ( ~class_Lattices_Osemilattice__sup(_u17262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17262), _u17263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17262), hAPP(hAPP(c_Finite__Set_Ofold(_u17262, _u17262, c_Lattices_Osemilattice__sup__class_Osup(_u17262)), _u17265), _u17263)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17262), _u17264), _u17265))) | hBOOL(hAPP(hAPP(c_member(_u17262), skolem430(_u17265, _u17264, _u17263, _u17262)), _u17263)) )).
% 27.71/27.96 cnf(matrix-7124, plain, ( ~class_Lattices_Osemilattice__sup(_u17262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17262), _u17263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17262), hAPP(hAPP(c_Finite__Set_Ofold(_u17262, _u17262, c_Lattices_Osemilattice__sup__class_Osup(_u17262)), _u17265), _u17263)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u17262), _u17264), _u17265))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17262), skolem430(_u17265, _u17264, _u17263, _u17262)), _u17264)) )).
% 27.71/27.96 cnf(matrix-7125, plain, ( ~c_Wellfounded_Owf(_u17276, _u17278) | ~hBOOL(hAPP(hAPP(c_member(_u17276), _u17266), _u17269)) | hBOOL(hAPP(hAPP(c_member(_u17276), skolem431(_u17278, _u17276, _u17269)), _u17269)) )).
% 27.71/27.96 cnf(matrix-7126, plain, ( ~c_Wellfounded_Owf(_u17276, _u17278) | ~hBOOL(hAPP(hAPP(c_member(_u17276), _u17266), _u17269)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17276, _u17276)), hAPP(hAPP(c_Product__Type_OPair(_u17276, _u17276), _u17267), skolem431(_u17278, _u17276, _u17269))), _u17278)) | ~hBOOL(hAPP(hAPP(c_member(_u17276), _u17267), _u17269)) )).
% 27.71/27.96 cnf(matrix-7127, plain, ( c_Wellfounded_Owf(_u17277, _u17279) | hBOOL(hAPP(hAPP(c_member(_u17277), skolem433(_u17279, _u17277)), skolem432(_u17279, _u17277))) )).
% 27.71/27.96 cnf(matrix-7128, plain, ( c_Wellfounded_Owf(_u17277, _u17279) | ~hBOOL(hAPP(hAPP(c_member(_u17277), _u17272), skolem432(_u17279, _u17277))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17277, _u17277)), hAPP(hAPP(c_Product__Type_OPair(_u17277, _u17277), skolem434(_u17279, _u17277, _u17272)), _u17272)), _u17279)) )).
% 27.71/27.96 cnf(matrix-7129, plain, ( c_Wellfounded_Owf(_u17277, _u17279) | ~hBOOL(hAPP(hAPP(c_member(_u17277), _u17272), skolem432(_u17279, _u17277))) | hBOOL(hAPP(hAPP(c_member(_u17277), skolem434(_u17279, _u17277, _u17272)), skolem432(_u17279, _u17277))) )).
% 27.71/27.96 cnf(matrix-7130, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17281), _u17286)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17281), _u17287)) | ( hAPP(_u17285, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17281, tc_HOL_Obool)), _u17286), _u17287)) = hAPP(hAPP(_u17282, hAPP(_u17285, _u17286)), hAPP(_u17285, _u17287))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17280, _u17281, _u17282, _u17283, _u17284, _u17285) )).
% 27.71/27.96 cnf(matrix-7131, 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)))), _u17289)) = 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)))), _u17290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem435(_u17290, _u17289))) )).
% 27.71/27.96 cnf(matrix-7132, 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)))), _u17289)) = 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)))), _u17290))) | hBOOL(hAPP(_u17289, skolem435(_u17290, _u17289))) | hBOOL(hAPP(_u17290, skolem435(_u17290, _u17289))) )).
% 27.71/27.96 cnf(matrix-7133, 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)))), _u17289)) = 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)))), _u17290))) | ~hBOOL(hAPP(_u17290, skolem435(_u17290, _u17289))) | ~hBOOL(hAPP(_u17289, skolem435(_u17290, _u17289))) )).
% 27.71/27.96 cnf(matrix-7134, plain, ( ( hAPP(hAPP(_u17293, _u17297), _u17297) = _u17297) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17291, _u17292, _u17293, _u17294, _u17295, _u17296) )).
% 27.71/27.96 cnf(matrix-7135, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17299), _u17304)) | ~hBOOL(hAPP(hAPP(c_member(_u17299), _u17305), _u17304)) | ( hAPP(hAPP(_u17300, hAPP(_u17302, _u17305)), hAPP(_u17303, _u17304)) = hAPP(_u17303, _u17304)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17298, _u17299, _u17300, _u17301, _u17302, _u17303) )).
% 27.71/27.96 cnf(matrix-7136, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17307), _u17312)) | ( hAPP(_u17311, hAPP(hAPP(c_Set_Oinsert(_u17307), _u17313), _u17312)) = hAPP(hAPP(_u17308, hAPP(_u17310, _u17313)), hAPP(_u17311, _u17312))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17306, _u17307, _u17308, _u17309, _u17310, _u17311) )).
% 27.71/27.96 cnf(matrix-7137, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17315), _u17320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17315, tc_HOL_Obool)), _u17321), _u17320)) | ( hAPP(hAPP(_u17316, hAPP(_u17319, _u17321)), hAPP(_u17319, _u17320)) = hAPP(_u17319, _u17320)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17314, _u17315, _u17316, _u17317, _u17318, _u17319) )).
% 27.71/27.96 cnf(matrix-7138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17323, tc_HOL_Obool)), _u17324), _u17325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17323, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17323, tc_HOL_Obool)), _u17324), hAPP(c_Set_OCollect(_u17323), _u17326))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17323, tc_HOL_Obool)), _u17325), hAPP(c_Set_OCollect(_u17323), _u17327)))) | hBOOL(hAPP(hAPP(c_member(_u17323), skolem436(_u17327, _u17326, _u17325, _u17324, _u17323)), _u17324)) )).
% 27.71/27.96 cnf(matrix-7139, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17323, tc_HOL_Obool)), _u17324), _u17325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17323, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17323, tc_HOL_Obool)), _u17324), hAPP(c_Set_OCollect(_u17323), _u17326))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17323, tc_HOL_Obool)), _u17325), hAPP(c_Set_OCollect(_u17323), _u17327)))) | hBOOL(hAPP(_u17326, skolem436(_u17327, _u17326, _u17325, _u17324, _u17323))) )).
% 27.71/27.96 cnf(matrix-7140, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17323, tc_HOL_Obool)), _u17324), _u17325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17323, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17323, tc_HOL_Obool)), _u17324), hAPP(c_Set_OCollect(_u17323), _u17326))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17323, tc_HOL_Obool)), _u17325), hAPP(c_Set_OCollect(_u17323), _u17327)))) | ~hBOOL(hAPP(_u17327, skolem436(_u17327, _u17326, _u17325, _u17324, _u17323))) )).
% 27.71/27.96 cnf(matrix-7141, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17329), _u17330), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17329, tc_HOL_Obool), _u17331))) | hBOOL(hAPP(hAPP(c_member(_u17329), _u17330), skolem437(_u17331, _u17330, _u17329))) )).
% 27.71/27.96 cnf(matrix-7142, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17329), _u17330), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17329, tc_HOL_Obool), _u17331))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17329, tc_HOL_Obool)), skolem437(_u17331, _u17330, _u17329)), _u17331)) )).
% 27.71/27.96 cnf(matrix-7143, plain, ( hBOOL(hAPP(hAPP(c_member(_u17332), _u17333), c_Map_Odom(_u17332, _u17334, _u17335))) | ( c_Map_Omap__add(_u17332, _u17334, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17332, tc_Option_Ooption(_u17334)), _u17336), _u17333), hAPP(c_Option_Ooption_OSome(_u17334), _u17337)), _u17335) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17332, tc_Option_Ooption(_u17334)), c_Map_Omap__add(_u17332, _u17334, _u17336, _u17335)), _u17333), hAPP(c_Option_Ooption_OSome(_u17334), _u17337))) )).
% 27.71/27.96 cnf(matrix-7144, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17340, _u17341)), _u17342), hAPP(c_Relation_Oconverse(_u17341, _u17340), _u17343))) | ( _u17342 = hAPP(hAPP(c_Product__Type_OPair(_u17340, _u17341), skolem439(_u17343, _u17342, _u17341, _u17340)), skolem438(_u17343, _u17342, _u17341, _u17340))) )).
% 27.71/27.96 cnf(matrix-7145, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17340, _u17341)), _u17342), hAPP(c_Relation_Oconverse(_u17341, _u17340), _u17343))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17341, _u17340)), hAPP(hAPP(c_Product__Type_OPair(_u17341, _u17340), skolem438(_u17343, _u17342, _u17341, _u17340)), skolem439(_u17343, _u17342, _u17341, _u17340))), _u17343)) )).
% 27.71/27.96 cnf(matrix-7146, plain, ( ( hAPP(c_Map_Omap__add(_u17350, _u17352, _u17354, _u17356), _u17358) != hAPP(c_Option_Ooption_OSome(_u17352), _u17360)) | ( hAPP(_u17356, _u17358) = hAPP(c_Option_Ooption_OSome(_u17352), _u17360)) | ( hAPP(_u17356, _u17358) = c_Option_Ooption_ONone(_u17352)) )).
% 27.71/27.96 cnf(matrix-7147, plain, ( ( hAPP(c_Map_Omap__add(_u17350, _u17352, _u17354, _u17356), _u17358) != hAPP(c_Option_Ooption_OSome(_u17352), _u17360)) | ( hAPP(_u17356, _u17358) = hAPP(c_Option_Ooption_OSome(_u17352), _u17360)) | ( hAPP(_u17354, _u17358) = hAPP(c_Option_Ooption_OSome(_u17352), _u17360)) )).
% 27.71/27.96 cnf(matrix-7148, plain, ( ( hAPP(c_Map_Omap__add(_u17351, _u17353, _u17355, _u17357), _u17359) = hAPP(c_Option_Ooption_OSome(_u17353), _u17361)) | ( hAPP(_u17357, _u17359) != hAPP(c_Option_Ooption_OSome(_u17353), _u17361)) )).
% 27.71/27.96 cnf(matrix-7149, plain, ( ( hAPP(c_Map_Omap__add(_u17351, _u17353, _u17355, _u17357), _u17359) = hAPP(c_Option_Ooption_OSome(_u17353), _u17361)) | ( hAPP(_u17357, _u17359) != c_Option_Ooption_ONone(_u17353)) | ( hAPP(_u17355, _u17359) != hAPP(c_Option_Ooption_OSome(_u17353), _u17361)) )).
% 27.71/27.96 cnf(matrix-7150, plain, ( ( hAPP(c_Map_Omap__add(_u17362, _u17363, _u17364, _u17365), _u17366) != hAPP(c_Option_Ooption_OSome(_u17363), _u17367)) | ( hAPP(_u17365, _u17366) = hAPP(c_Option_Ooption_OSome(_u17363), _u17367)) | ( hAPP(_u17365, _u17366) = c_Option_Ooption_ONone(_u17363)) )).
% 27.71/27.96 cnf(matrix-7151, plain, ( ( hAPP(c_Map_Omap__add(_u17362, _u17363, _u17364, _u17365), _u17366) != hAPP(c_Option_Ooption_OSome(_u17363), _u17367)) | ( hAPP(_u17365, _u17366) = hAPP(c_Option_Ooption_OSome(_u17363), _u17367)) | ( hAPP(_u17364, _u17366) = hAPP(c_Option_Ooption_OSome(_u17363), _u17367)) )).
% 27.71/27.96 cnf(matrix-7152, plain, ( ( c_Map_Odom(_u17368, _u17369, c_Map_Omap__add(_u17368, _u17369, _u17370, _u17371)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17368, tc_HOL_Obool)), c_Map_Odom(_u17368, _u17369, _u17371)), c_Map_Odom(_u17368, _u17369, _u17370))) )).
% 27.71/27.96 cnf(matrix-7153, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17372), _u17373), c_Map_Odom(_u17372, _u17374, _u17375))) | ( hAPP(c_Map_Omap__add(_u17372, _u17374, _u17376, _u17375), _u17373) = hAPP(_u17375, _u17373)) )).
% 27.71/27.96 cnf(matrix-7154, plain, ( hBOOL(hAPP(hAPP(c_member(_u17377), _u17378), c_Map_Odom(_u17377, _u17379, _u17380))) | ( hAPP(c_Map_Omap__add(_u17377, _u17379, _u17381, _u17380), _u17378) = hAPP(_u17381, _u17378)) )).
% 27.71/27.96 cnf(matrix-7155, plain, ( hBOOL(hAPP(hAPP(c_member(_u17382), _u17383), c_Map_Odom(_u17382, _u17384, _u17385))) | ( hAPP(c_Map_Omap__add(_u17382, _u17384, _u17385, _u17386), _u17383) = hAPP(_u17386, _u17383)) )).
% 27.71/27.96 cnf(matrix-7156, plain, ( ( c_Map_Omap__add(_u17387, _u17388, hAPP(c_COMBK(tc_Option_Ooption(_u17388), _u17387), c_Option_Ooption_ONone(_u17388)), _u17389) = _u17389) )).
% 27.71/27.96 cnf(matrix-7157, plain, ( ( c_Map_Omap__add(_u17390, _u17391, _u17392, hAPP(c_COMBK(tc_Option_Ooption(_u17391), _u17390), c_Option_Ooption_ONone(_u17391))) = _u17392) )).
% 27.71/27.96 cnf(matrix-7158, plain, ( ( hAPP(c_Map_Omap__add(_u17398, _u17400, _u17402, _u17404), _u17406) != c_Option_Ooption_ONone(_u17400)) | ( hAPP(_u17404, _u17406) = c_Option_Ooption_ONone(_u17400)) )).
% 27.71/27.96 cnf(matrix-7159, plain, ( ( hAPP(c_Map_Omap__add(_u17398, _u17400, _u17402, _u17404), _u17406) != c_Option_Ooption_ONone(_u17400)) | ( hAPP(_u17402, _u17406) = c_Option_Ooption_ONone(_u17400)) )).
% 27.71/27.96 cnf(matrix-7160, plain, ( ( hAPP(_u17405, _u17407) != c_Option_Ooption_ONone(_u17401)) | ( hAPP(_u17403, _u17407) != c_Option_Ooption_ONone(_u17401)) | ( hAPP(c_Map_Omap__add(_u17399, _u17401, _u17403, _u17405), _u17407) = c_Option_Ooption_ONone(_u17401)) )).
% 27.71/27.96 cnf(matrix-7161, plain, ( ( hAPP(_u17408, _u17409) != hAPP(c_Option_Ooption_OSome(_u17410), _u17411)) | ( hAPP(c_Map_Omap__add(_u17412, _u17410, _u17413, _u17408), _u17409) = hAPP(c_Option_Ooption_OSome(_u17410), _u17411)) )).
% 27.71/27.96 cnf(matrix-7162, plain, ( ( c_Map_Omap__add(_u17414, _u17415, _u17416, c_Map_Omap__add(_u17414, _u17415, _u17417, _u17418)) = c_Map_Omap__add(_u17414, _u17415, c_Map_Omap__add(_u17414, _u17415, _u17416, _u17417), _u17418)) )).
% 27.71/27.96 cnf(matrix-7163, plain, ( ( hAPP(c_Map_Omap__add(_u17419, _u17420, _u17421, _u17422), _u17423) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17420), _u17420, hAPP(_u17421, _u17423), c_Option_Ooption_OSome(_u17420)), hAPP(_u17422, _u17423))) )).
% 27.71/27.96 cnf(matrix-7164, plain, ( ( c_Map_Omap__add(_u17424, _u17425, _u17426, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17424, tc_Option_Ooption(_u17425)), _u17427), _u17428), hAPP(c_Option_Ooption_OSome(_u17425), _u17429))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17424, tc_Option_Ooption(_u17425)), c_Map_Omap__add(_u17424, _u17425, _u17426, _u17427)), _u17428), hAPP(c_Option_Ooption_OSome(_u17425), _u17429))) )).
% 27.71/27.96 cnf(matrix-7165, plain, ( ~c_Fun_Oinj__on(_u17434, tc_Option_Ooption(_u17436), c_Map_Omap__add(_u17434, _u17436, _u17438, _u17440), c_Map_Odom(_u17434, _u17436, _u17440)) | c_Fun_Oinj__on(_u17434, tc_Option_Ooption(_u17436), _u17440, c_Map_Odom(_u17434, _u17436, _u17440)) )).
% 27.71/27.96 cnf(matrix-7166, plain, ( ~c_Fun_Oinj__on(_u17435, tc_Option_Ooption(_u17437), _u17441, c_Map_Odom(_u17435, _u17437, _u17441)) | c_Fun_Oinj__on(_u17435, tc_Option_Ooption(_u17437), c_Map_Omap__add(_u17435, _u17437, _u17439, _u17441), c_Map_Odom(_u17435, _u17437, _u17441)) )).
% 27.71/27.96 cnf(matrix-7167, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17442, tc_HOL_Obool)), c_Map_Odom(_u17442, _u17443, _u17444)), c_Map_Odom(_u17442, _u17443, _u17445)) != c_Orderings_Obot__class_Obot(tc_fun(_u17442, tc_HOL_Obool))) | ( c_Map_Omap__add(_u17442, _u17443, _u17444, _u17445) = c_Map_Omap__add(_u17442, _u17443, _u17445, _u17444)) )).
% 27.71/27.96 cnf(matrix-7168, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17446)), hAPP(c_Set_Oimage(_u17447, tc_Option_Ooption(_u17446), _u17448), c_Orderings_Otop__class_Otop(tc_fun(_u17447, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17446)), hAPP(c_Set_Oimage(_u17447, tc_Option_Ooption(_u17446), c_Map_Omap__add(_u17447, _u17446, _u17448, c_Map_Omap__of(_u17447, _u17446, _u17449))), c_Orderings_Otop__class_Otop(tc_fun(_u17447, tc_HOL_Obool))))) )).
% 27.71/27.96 cnf(matrix-7169, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17453, _u17454)), _u17455), hAPP(hAPP(c_Relation_Orel__comp(_u17453, _u17456, _u17454), _u17457), _u17458))) | ( _u17455 = hAPP(hAPP(c_Product__Type_OPair(_u17453, _u17454), skolem440(_u17458, _u17457, _u17456, _u17455, _u17454, _u17453)), skolem442(_u17458, _u17457, _u17456, _u17455, _u17454, _u17453))) )).
% 27.71/27.96 cnf(matrix-7170, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17453, _u17454)), _u17455), hAPP(hAPP(c_Relation_Orel__comp(_u17453, _u17456, _u17454), _u17457), _u17458))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17453, _u17456)), hAPP(hAPP(c_Product__Type_OPair(_u17453, _u17456), skolem440(_u17458, _u17457, _u17456, _u17455, _u17454, _u17453)), skolem441(_u17458, _u17457, _u17456, _u17455, _u17454, _u17453))), _u17457)) )).
% 27.71/27.96 cnf(matrix-7171, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17453, _u17454)), _u17455), hAPP(hAPP(c_Relation_Orel__comp(_u17453, _u17456, _u17454), _u17457), _u17458))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17456, _u17454)), hAPP(hAPP(c_Product__Type_OPair(_u17456, _u17454), skolem441(_u17458, _u17457, _u17456, _u17455, _u17454, _u17453)), skolem442(_u17458, _u17457, _u17456, _u17455, _u17454, _u17453))), _u17458)) )).
% 27.71/27.96 cnf(matrix-7172, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17459), c_Map_Odom(_u17459, _u17460, c_Map_Omap__of(_u17459, _u17460, _u17461)))) )).
% 27.71/27.96 cnf(matrix-7173, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17462)), hAPP(c_Set_Oimage(_u17463, tc_Option_Ooption(_u17462), c_Map_Omap__of(_u17463, _u17462, _u17464)), c_Orderings_Otop__class_Otop(tc_fun(_u17463, tc_HOL_Obool))))) )).
% 27.71/27.96 cnf(matrix-7174, plain, ( ( c_Map_Omap__add(_u17465, _u17466, _u17467, c_Map_Omap__of(_u17465, _u17466, _u17468)) = c_List_Ofoldr(tc_prod(_u17465, _u17466), tc_fun(_u17465, tc_Option_Ooption(_u17466)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17465, _u17466, tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(_u17465, tc_Option_Ooption(_u17466)))), hAPP(hAPP(c_COMBC(_u17465, tc_fun(_u17466, tc_Option_Ooption(_u17466)), tc_fun(_u17466, tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(_u17465, tc_Option_Ooption(_u17466))))), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17466), tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(_u17465, tc_Option_Ooption(_u17466)))), tc_fun(tc_fun(_u17466, tc_Option_Ooption(_u17466)), tc_fun(_u17466, tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(_u17465, tc_Option_Ooption(_u17466))))), _u17465), c_COMBB(tc_Option_Ooption(_u17466), tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(_u17465, tc_Option_Ooption(_u17466))), _u17466)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(tc_Option_Ooption(_u17466), tc_fun(_u17465, tc_Option_Ooption(_u17466)))), tc_fun(tc_Option_Ooption(_u17466), tc_fun(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_fun(_u17465, tc_Option_Ooption(_u17466)))), _u17465), c_COMBC(tc_fun(_u17465, tc_Option_Ooption(_u17466)), tc_Option_Ooption(_u17466), tc_fun(_u17465, tc_Option_Ooption(_u17466)))), hAPP(c_COMBC(tc_fun(_u17465, tc_Option_Ooption(_u17466)), _u17465, tc_fun(tc_Option_Ooption(_u17466), tc_fun(_u17465, tc_Option_Ooption(_u17466)))), c_Fun_Ofun__upd(_u17465, tc_Option_Ooption(_u17466)))))), c_Option_Ooption_OSome(_u17466))), _u17468, _u17467)) )).
% 27.71/27.96 cnf(matrix-7175, plain, ( ( c_Smallcheck_Oorelse(_u17469, _u17470, _u17471) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17469), _u17469, _u17471, c_Option_Ooption_OSome(_u17469)), _u17470)) )).
% 27.71/27.96 cnf(matrix-7176, plain, ( ( c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint, _u17472, _u17473) = c_Smallcheck_Ofull__small_H(_u17472, hAPP(c_Code__Numeral_Oint__of, _u17473), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u17473)))) )).
% 27.71/27.96 cnf(matrix-7177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17477), _u17479)) | ( c_Smallcheck_Osmall_H(_u17481, _u17477, _u17479) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 27.71/27.96 cnf(matrix-7178, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17478), _u17480)) | ( c_Smallcheck_Osmall_H(_u17482, _u17478, _u17480) = 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(_u17482, _u17478, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17480), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u17482, _u17480))) )).
% 27.71/27.96 cnf(matrix-7179, 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)), _u17483), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17484), _u17485)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17484), _u17485)) | ( c_Smallcheck_Osmall_H(_u17483, _u17484, _u17485) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 27.71/27.96 cnf(matrix-7180, 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)), _u17483), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17484), _u17485)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17484), _u17485)) | ( c_Smallcheck_Osmall_H(_u17483, _u17484, _u17485) = 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(_u17483, _u17484, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17485), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u17483, _u17485))) )).
% 27.71/27.96 cnf(matrix-7181, plain, ( ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint), _u17486), _u17487) = c_Smallcheck_Osmall_H(_u17486, hAPP(c_Code__Numeral_Oint__of, _u17487), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u17487)))) )).
% 27.71/27.96 cnf(matrix-7182, plain, ( ~class_Smallcheck_Osmall(_u17488) | ~class_Smallcheck_Osmall(_u17489) | ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(_u17489, _u17488)), _u17490), _u17491) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(_u17489), hAPP(hAPP(c_COMBC(_u17489, tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(hAPP(c_COMBB(tc_fun(_u17488, 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))), _u17489), c_Smallcheck_Osmall__class_Osmall(_u17488)), hAPP(hAPP(c_COMBB(tc_fun(_u17488, tc_prod(_u17489, _u17488)), tc_fun(_u17488, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u17489), hAPP(c_COMBB(tc_prod(_u17489, _u17488), tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), _u17488), _u17490)), c_Product__Type_OPair(_u17489, _u17488)))), _u17491)), _u17491)) )).
% 27.71/27.96 cnf(matrix-7183, 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)), _u17495), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17496), _u17497)))) | hBOOL(hAPP(hAPP(hAPP(_u17498, _u17495), _u17496), _u17497)) | 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)), skolem443(_u17498, _u17497, _u17496, _u17495)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem444(_u17498, _u17497, _u17496, _u17495)), skolem445(_u17498, _u17497, _u17496, _u17495))))) )).
% 27.71/27.96 cnf(matrix-7184, 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)), _u17495), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17496), _u17497)))) | hBOOL(hAPP(hAPP(hAPP(_u17498, _u17495), _u17496), _u17497)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem444(_u17498, _u17497, _u17496, _u17495)), skolem445(_u17498, _u17497, _u17496, _u17495))) | ( hAPP(skolem443(_u17498, _u17497, _u17496, _u17495), skolem445(_u17498, _u17497, _u17496, _u17495)) != c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) | hBOOL(hAPP(hAPP(hAPP(_u17498, skolem443(_u17498, _u17497, _u17496, _u17495)), skolem444(_u17498, _u17497, _u17496, _u17495)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem445(_u17498, _u17497, _u17496, _u17495)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 27.71/27.96 cnf(matrix-7185, 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)), _u17495), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17496), _u17497)))) | hBOOL(hAPP(hAPP(hAPP(_u17498, _u17495), _u17496), _u17497)) | ~hBOOL(hAPP(hAPP(hAPP(_u17498, skolem443(_u17498, _u17497, _u17496, _u17495)), skolem444(_u17498, _u17497, _u17496, _u17495)), skolem445(_u17498, _u17497, _u17496, _u17495))) )).
% 27.71/27.96 cnf(matrix-7186, plain, ( ( c_Com_Obody = c_Map_Omap__of(tc_Com_Opname, tc_Com_Ocom, c_Com_Obodies)) )).
% 27.71/27.96 cnf(matrix-7187, plain, ( ~c_Fun_Oinj__on(_u17499, _u17500, _u17501, c_Orderings_Otop__class_Otop(tc_fun(_u17499, tc_HOL_Obool))) | ( hAPP(c_Map_Omap__of(_u17499, _u17502, _u17503), _u17504) != hAPP(c_Option_Ooption_OSome(_u17502), _u17505)) | ( hAPP(c_Map_Omap__of(_u17500, _u17502, hAPP(hAPP(c_List_Omap(tc_prod(_u17499, _u17502), tc_prod(_u17500, _u17502)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17499, _u17502, tc_prod(_u17500, _u17502)), hAPP(hAPP(c_COMBB(_u17500, tc_fun(_u17502, tc_prod(_u17500, _u17502)), _u17499), c_Product__Type_OPair(_u17500, _u17502)), _u17501))), _u17503)), hAPP(_u17501, _u17504)) = hAPP(c_Option_Ooption_OSome(_u17502), _u17505)) )).
% 27.71/27.96 cnf(matrix-7188, plain, ( ( c_Map_Omap__comp(_u17506, _u17507, _u17508, _u17509, _u17510, _u17511) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17507), _u17506, c_Option_Ooption_ONone(_u17507), _u17509), hAPP(_u17510, _u17511))) )).
% 27.71/27.96 cnf(matrix-7189, plain, ( ~c_Fun_Oinj__on(_u17512, _u17513, _u17514, c_Orderings_Otop__class_Otop(tc_fun(_u17512, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17512), tc_List_Olist(_u17513), hAPP(c_List_Omap(_u17512, _u17513), _u17514), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17512), tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7190, plain, ( ( hAPP(_u17515, _u17516) != hAPP(c_Option_Ooption_OSome(_u17517), _u17518)) | ( c_Map_Omap__comp(_u17517, _u17519, _u17520, _u17521, _u17515, _u17516) = hAPP(_u17521, _u17518)) )).
% 27.71/27.96 cnf(matrix-7191, plain, ( ( c_Map_Omap__comp(_u17531, _u17533, _u17535, _u17537, _u17539, _u17541) != hAPP(c_Option_Ooption_OSome(_u17533), _u17543)) | ( hAPP(_u17539, _u17541) = hAPP(c_Option_Ooption_OSome(_u17531), skolem446(_u17543, _u17541, _u17539, _u17537, _u17535, _u17533, _u17531))) )).
% 27.71/27.96 cnf(matrix-7192, plain, ( ( c_Map_Omap__comp(_u17531, _u17533, _u17535, _u17537, _u17539, _u17541) != hAPP(c_Option_Ooption_OSome(_u17533), _u17543)) | ( hAPP(_u17537, skolem446(_u17543, _u17541, _u17539, _u17537, _u17535, _u17533, _u17531)) = hAPP(c_Option_Ooption_OSome(_u17533), _u17543)) )).
% 27.71/27.96 cnf(matrix-7193, plain, ( ( hAPP(_u17540, _u17542) != hAPP(c_Option_Ooption_OSome(_u17532), _u17523)) | ( hAPP(_u17538, _u17523) != hAPP(c_Option_Ooption_OSome(_u17534), _u17544)) | ( c_Map_Omap__comp(_u17532, _u17534, _u17536, _u17538, _u17540, _u17542) = hAPP(c_Option_Ooption_OSome(_u17534), _u17544)) )).
% 27.71/27.96 cnf(matrix-7194, plain, ( ( hAPP(_u17545, _u17546) != c_Option_Ooption_ONone(_u17547)) | ( c_Map_Omap__comp(_u17547, _u17548, _u17549, _u17550, _u17545, _u17546) = c_Option_Ooption_ONone(_u17548)) )).
% 27.71/27.96 cnf(matrix-7195, plain, ( ( hAPP(c_List_Omap(_u17551, _u17551), c_COMBI(_u17551)) = c_Fun_Oid(tc_List_Olist(_u17551))) )).
% 27.71/27.96 cnf(matrix-7196, plain, ( ( hAPP(c_List_Omap(_u17552, _u17552), c_Fun_Oid(_u17552)) = c_Fun_Oid(tc_List_Olist(_u17552))) )).
% 27.71/27.96 cnf(matrix-7197, plain, ( ( hAPP(hAPP(c_List_Omap(_u17553, _u17553), c_COMBI(_u17553)), _u17554) = _u17554) )).
% 27.71/27.96 cnf(matrix-7198, plain, ( ( hAPP(hAPP(c_List_Omap(_u17555, _u17556), _u17557), _u17558) != hAPP(hAPP(c_List_Omap(_u17555, _u17556), _u17557), _u17559)) | ~c_Fun_Oinj__on(_u17555, _u17556, _u17557, c_Orderings_Otop__class_Otop(tc_fun(_u17555, tc_HOL_Obool))) | ( _u17558 = _u17559) )).
% 27.71/27.96 cnf(matrix-7199, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17560), tc_List_Olist(_u17561), hAPP(c_List_Omap(_u17560, _u17561), _u17562), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17560), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17560, _u17561, _u17562, c_Orderings_Otop__class_Otop(tc_fun(_u17560, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7200, plain, ( ~c_Fun_Oinj__on(_u17563, _u17564, _u17565, c_Orderings_Otop__class_Otop(tc_fun(_u17563, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17563, _u17564), _u17565), _u17566) != hAPP(hAPP(c_List_Omap(_u17563, _u17564), _u17565), _u17567)) | ( _u17566 = _u17567) )).
% 27.71/27.96 cnf(matrix-7201, plain, ( ~c_Fun_Oinj__on(_u17563, _u17564, _u17565, c_Orderings_Otop__class_Otop(tc_fun(_u17563, tc_HOL_Obool))) | ( _u17566 != _u17567) | ( hAPP(hAPP(c_List_Omap(_u17563, _u17564), _u17565), _u17566) = hAPP(hAPP(c_List_Omap(_u17563, _u17564), _u17565), _u17567)) )).
% 27.71/27.96 cnf(matrix-7202, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17571), tc_List_Olist(_u17573), hAPP(c_List_Omap(_u17571, _u17573), _u17575), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17571), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17571, _u17573, _u17575, c_Orderings_Otop__class_Otop(tc_fun(_u17571, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7203, plain, ( ~c_Fun_Oinj__on(_u17572, _u17574, _u17576, c_Orderings_Otop__class_Otop(tc_fun(_u17572, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17572), tc_List_Olist(_u17574), hAPP(c_List_Omap(_u17572, _u17574), _u17576), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17572), tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7204, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17577), tc_List_Olist(_u17578), tc_List_Olist(_u17579), hAPP(c_List_Omap(_u17577, _u17578), _u17580)), hAPP(c_List_Omap(_u17579, _u17577), _u17581)) = hAPP(c_List_Omap(_u17579, _u17578), hAPP(c_Fun_Ocomp(_u17577, _u17578, _u17579, _u17580), _u17581))) )).
% 27.71/27.96 cnf(matrix-7205, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17582), tc_List_Olist(_u17583), tc_List_Olist(_u17584), hAPP(c_List_Omap(_u17582, _u17583), _u17585)), hAPP(c_List_Omap(_u17584, _u17582), _u17586)) = hAPP(c_List_Omap(_u17584, _u17583), hAPP(c_Fun_Ocomp(_u17582, _u17583, _u17584, _u17585), _u17586))) )).
% 27.71/27.96 cnf(matrix-7206, plain, ( ( hAPP(hAPP(c_List_Omap(_u17587, _u17588), _u17589), hAPP(hAPP(c_List_Omap(_u17590, _u17587), _u17591), _u17592)) = hAPP(hAPP(c_List_Omap(_u17590, _u17588), hAPP(c_Fun_Ocomp(_u17587, _u17588, _u17590, _u17589), _u17591)), _u17592)) )).
% 27.71/27.96 cnf(matrix-7207, plain, ( ( hAPP(hAPP(c_List_Omap(_u17593, _u17594), _u17595), hAPP(hAPP(c_List_Omap(_u17596, _u17593), _u17597), _u17598)) = hAPP(hAPP(c_List_Omap(_u17596, _u17594), hAPP(c_Fun_Ocomp(_u17593, _u17594, _u17596, _u17595), _u17597)), _u17598)) )).
% 27.71/27.96 cnf(matrix-7208, plain, ( ( c_List_Ofoldr(_u17599, _u17600, _u17601, hAPP(hAPP(c_List_Omap(_u17602, _u17599), _u17603), _u17604), _u17605) = c_List_Ofoldr(_u17602, _u17600, hAPP(c_Fun_Ocomp(_u17599, tc_fun(_u17600, _u17600), _u17602, _u17601), _u17603), _u17604, _u17605)) )).
% 27.71/27.96 cnf(matrix-7209, plain, ( ( c_Map_Omap__comp(_u17606, _u17607, _u17608, hAPP(c_COMBK(tc_Option_Ooption(_u17607), _u17606), c_Option_Ooption_ONone(_u17607)), _u17609, _u17610) = c_Option_Ooption_ONone(_u17607)) )).
% 27.71/27.96 cnf(matrix-7210, plain, ( ( c_Map_Omap__comp(_u17611, _u17612, _u17613, _u17614, hAPP(c_COMBK(tc_Option_Ooption(_u17611), _u17613), c_Option_Ooption_ONone(_u17611)), _u17615) = c_Option_Ooption_ONone(_u17612)) )).
% 27.71/27.96 cnf(matrix-7211, plain, ( ( c_Map_Omap__comp(_u17624, _u17626, _u17628, _u17630, _u17632, _u17634) != c_Option_Ooption_ONone(_u17626)) | ( hAPP(_u17632, _u17634) = c_Option_Ooption_ONone(_u17624)) | ( hAPP(_u17632, _u17634) = hAPP(c_Option_Ooption_OSome(_u17624), skolem447(_u17634, _u17632, _u17630, _u17628, _u17626, _u17624))) )).
% 27.71/27.96 cnf(matrix-7212, plain, ( ( c_Map_Omap__comp(_u17624, _u17626, _u17628, _u17630, _u17632, _u17634) != c_Option_Ooption_ONone(_u17626)) | ( hAPP(_u17632, _u17634) = c_Option_Ooption_ONone(_u17624)) | ( hAPP(_u17630, skolem447(_u17634, _u17632, _u17630, _u17628, _u17626, _u17624)) = c_Option_Ooption_ONone(_u17626)) )).
% 27.71/27.96 cnf(matrix-7213, plain, ( ( c_Map_Omap__comp(_u17625, _u17627, _u17629, _u17631, _u17633, _u17635) = c_Option_Ooption_ONone(_u17627)) | ( hAPP(_u17633, _u17635) != c_Option_Ooption_ONone(_u17625)) )).
% 27.71/27.96 cnf(matrix-7214, plain, ( ( c_Map_Omap__comp(_u17625, _u17627, _u17629, _u17631, _u17633, _u17635) = c_Option_Ooption_ONone(_u17627)) | ( hAPP(_u17633, _u17635) != hAPP(c_Option_Ooption_OSome(_u17625), _u17617)) | ( hAPP(_u17631, _u17617) != c_Option_Ooption_ONone(_u17627)) )).
% 27.71/27.96 cnf(matrix-7215, plain, ( ( c_Map_Omap__of(_u17636, _u17637, hAPP(hAPP(c_List_Omap(tc_prod(_u17636, _u17638), tc_prod(_u17636, _u17637)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17636, _u17638, tc_prod(_u17636, _u17637)), hAPP(hAPP(c_COMBC(_u17636, tc_fun(_u17638, _u17637), tc_fun(_u17638, tc_prod(_u17636, _u17637))), hAPP(hAPP(c_COMBB(tc_fun(_u17637, tc_prod(_u17636, _u17637)), tc_fun(tc_fun(_u17638, _u17637), tc_fun(_u17638, tc_prod(_u17636, _u17637))), _u17636), c_COMBB(_u17637, tc_prod(_u17636, _u17637), _u17638)), c_Product__Type_OPair(_u17636, _u17637))), _u17639))), _u17640)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17638), tc_Option_Ooption(_u17637), _u17636, hAPP(c_Option_Omap(_u17638, _u17637), _u17639)), c_Map_Omap__of(_u17636, _u17638, _u17640))) )).
% 27.71/27.96 cnf(matrix-7216, plain, ( ( hAPP(c_List_Oset(_u17641), _u17642) != c_Map_Odom(_u17641, _u17643, _u17644)) | ( c_Map_Omap__of(_u17641, _u17643, hAPP(hAPP(c_List_Omap(_u17641, tc_prod(_u17641, _u17643)), hAPP(hAPP(c_COMBS(_u17641, _u17643, tc_prod(_u17641, _u17643)), c_Product__Type_OPair(_u17641, _u17643)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u17643), _u17643, _u17641), c_Option_Othe(_u17643)), _u17644))), _u17642)) = _u17644) )).
% 27.71/27.96 cnf(matrix-7217, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17645), hAPP(c_List_Oset(_u17645), _u17646))) )).
% 27.71/27.96 cnf(matrix-7218, plain, ( ( hAPP(c_List_Oset(_u17647), hAPP(hAPP(c_List_Omap(_u17648, _u17647), _u17649), _u17650)) = hAPP(c_Set_Oimage(_u17648, _u17647, _u17649), hAPP(c_List_Oset(_u17648), _u17650))) )).
% 27.71/27.96 cnf(matrix-7219, plain, ( ( hAPP(hAPP(c_List_Omap(_u17658, _u17660), _u17662), _u17664) != hAPP(hAPP(c_List_Omap(_u17658, _u17660), _u17666), _u17664)) | ~hBOOL(hAPP(hAPP(c_member(_u17658), _u17651), hAPP(c_List_Oset(_u17658), _u17664))) | ( hAPP(_u17662, _u17651) = hAPP(_u17666, _u17651)) )).
% 27.71/27.96 cnf(matrix-7220, plain, ( ( hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17663), _u17665) = hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17667), _u17665)) | hBOOL(hAPP(hAPP(c_member(_u17659), skolem448(_u17667, _u17665, _u17663, _u17661, _u17659)), hAPP(c_List_Oset(_u17659), _u17665))) )).
% 27.71/27.96 cnf(matrix-7221, plain, ( ( hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17663), _u17665) = hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17667), _u17665)) | ( hAPP(_u17663, skolem448(_u17667, _u17665, _u17663, _u17661, _u17659)) != hAPP(_u17667, skolem448(_u17667, _u17665, _u17663, _u17661, _u17659))) )).
% 27.71/27.96 cnf(matrix-7222, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17668, _u17669), _u17670), hAPP(hAPP(c_Option_Omap(_u17671, _u17668), _u17672), _u17673)) = hAPP(hAPP(c_Option_Omap(_u17671, _u17669), hAPP(c_Fun_Ocomp(_u17668, _u17669, _u17671, _u17670), _u17672)), _u17673)) )).
% 27.71/27.96 cnf(matrix-7223, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17674, _u17675), _u17676), hAPP(hAPP(c_Option_Omap(_u17677, _u17674), _u17678), _u17679)) = hAPP(hAPP(c_Option_Omap(_u17677, _u17675), hAPP(c_Fun_Ocomp(_u17674, _u17675, _u17677, _u17676), _u17678)), _u17679)) )).
% 27.71/27.96 cnf(matrix-7224, plain, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17680), tc_Option_Ooption(_u17681), tc_Option_Ooption(_u17682), hAPP(c_Option_Omap(_u17680, _u17681), _u17683)), hAPP(c_Option_Omap(_u17682, _u17680), _u17684)) = hAPP(c_Option_Omap(_u17682, _u17681), hAPP(c_Fun_Ocomp(_u17680, _u17681, _u17682, _u17683), _u17684))) )).
% 27.71/27.96 cnf(matrix-7225, plain, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17685), tc_Option_Ooption(_u17686), tc_sum(_u17687, _u17688), hAPP(c_Option_Omap(_u17685, _u17686), _u17689)), c_Sum__Type_Osum_Osum__case(_u17687, tc_Option_Ooption(_u17685), _u17688, _u17690, _u17691)) = c_Sum__Type_Osum_Osum__case(_u17687, tc_Option_Ooption(_u17686), _u17688, hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17685), tc_Option_Ooption(_u17686), _u17687, hAPP(c_Option_Omap(_u17685, _u17686), _u17689)), _u17690), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17685), tc_Option_Ooption(_u17686), _u17688, hAPP(c_Option_Omap(_u17685, _u17686), _u17689)), _u17691))) )).
% 27.71/27.96 cnf(matrix-7226, plain, ( ( c_Map_Odom(_u17692, _u17693, hAPP(hAPP(c_COMBS(_u17692, tc_Option_Ooption(_u17694), tc_Option_Ooption(_u17693)), hAPP(hAPP(c_COMBB(tc_fun(_u17694, _u17693), tc_fun(tc_Option_Ooption(_u17694), tc_Option_Ooption(_u17693)), _u17692), c_Option_Omap(_u17694, _u17693)), _u17695)), _u17696)) = c_Map_Odom(_u17692, _u17694, _u17696)) )).
% 27.71/27.96 cnf(matrix-7227, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u17697)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17697), tc_HOL_Obool)))) )).
% 27.71/27.96 cnf(matrix-7228, plain, ( ( hAPP(c_Option_Omap(_u17698, _u17698), c_COMBI(_u17698)) = c_Fun_Oid(tc_Option_Ooption(_u17698))) )).
% 27.71/27.96 cnf(matrix-7229, plain, ( ( hAPP(c_Option_Omap(_u17699, _u17699), c_Fun_Oid(_u17699)) = c_Fun_Oid(tc_Option_Ooption(_u17699))) )).
% 27.71/27.96 cnf(matrix-7230, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17707, _u17709), _u17711), _u17713) != hAPP(c_Option_Ooption_OSome(_u17709), _u17715)) | ( _u17713 = hAPP(c_Option_Ooption_OSome(_u17707), skolem449(_u17715, _u17713, _u17711, _u17709, _u17707))) )).
% 27.71/27.96 cnf(matrix-7231, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17707, _u17709), _u17711), _u17713) != hAPP(c_Option_Ooption_OSome(_u17709), _u17715)) | ( hAPP(_u17711, skolem449(_u17715, _u17713, _u17711, _u17709, _u17707)) = _u17715) )).
% 27.71/27.96 cnf(matrix-7232, plain, ( ( _u17714 != hAPP(c_Option_Ooption_OSome(_u17708), _u17701)) | ( hAPP(_u17712, _u17701) != _u17716) | ( hAPP(hAPP(c_Option_Omap(_u17708, _u17710), _u17712), _u17714) = hAPP(c_Option_Ooption_OSome(_u17710), _u17716)) )).
% 27.71/27.96 cnf(matrix-7233, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17717, _u17718), _u17719), hAPP(c_Option_Ooption_OSome(_u17717), _u17720)) = hAPP(c_Option_Ooption_OSome(_u17718), hAPP(_u17719, _u17720))) )).
% 27.71/27.96 cnf(matrix-7234, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17725, _u17727), _u17729), _u17731) != c_Option_Ooption_ONone(_u17727)) | ( _u17731 = c_Option_Ooption_ONone(_u17725)) )).
% 27.71/27.96 cnf(matrix-7235, plain, ( ( _u17732 != c_Option_Ooption_ONone(_u17726)) | ( hAPP(hAPP(c_Option_Omap(_u17726, _u17728), _u17730), _u17732) = c_Option_Ooption_ONone(_u17728)) )).
% 27.71/27.96 cnf(matrix-7236, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17733, _u17734), _u17735), c_Option_Ooption_ONone(_u17733)) = c_Option_Ooption_ONone(_u17734)) )).
% 27.71/27.96 cnf(matrix-7237, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17736), tc_Option_Ooption(_u17737), _u17738, hAPP(c_Option_Omap(_u17736, _u17737), _u17739)), hAPP(c_COMBK(tc_Option_Ooption(_u17736), _u17738), c_Option_Ooption_ONone(_u17736))), _u17740) = c_Option_Ooption_ONone(_u17737)) )).
% 27.71/27.96 cnf(matrix-7238, plain, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17741), tc_Option_Ooption(_u17742), _u17743, hAPP(c_Option_Omap(_u17741, _u17742), _u17744)), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17743, tc_Option_Ooption(_u17741)), _u17745), _u17746), hAPP(c_Option_Ooption_OSome(_u17741), _u17747))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17743, tc_Option_Ooption(_u17742)), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17741), tc_Option_Ooption(_u17742), _u17743, hAPP(c_Option_Omap(_u17741, _u17742), _u17744)), _u17745)), _u17746), hAPP(c_Option_Ooption_OSome(_u17742), hAPP(_u17744, _u17747)))) )).
% 27.71/27.96 cnf(matrix-7239, plain, ( ~c_Fun_Oinj__on(_u17748, _u17749, _u17750, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17748, tc_HOL_Obool)), hAPP(c_List_Oset(_u17748), _u17751)), hAPP(c_List_Oset(_u17748), _u17752))) | ( hAPP(hAPP(c_List_Omap(_u17748, _u17749), _u17750), _u17751) != hAPP(hAPP(c_List_Omap(_u17748, _u17749), _u17750), _u17752)) | ( _u17751 = _u17752) )).
% 27.71/27.96 cnf(matrix-7240, plain, ( ~c_Fun_Oinj__on(_u17748, _u17749, _u17750, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17748, tc_HOL_Obool)), hAPP(c_List_Oset(_u17748), _u17751)), hAPP(c_List_Oset(_u17748), _u17752))) | ( _u17751 != _u17752) | ( hAPP(hAPP(c_List_Omap(_u17748, _u17749), _u17750), _u17751) = hAPP(hAPP(c_List_Omap(_u17748, _u17749), _u17750), _u17752)) )).
% 27.71/27.96 cnf(matrix-7241, plain, ( ( hAPP(hAPP(c_List_Omap(_u17753, _u17754), _u17755), _u17756) != hAPP(hAPP(c_List_Omap(_u17753, _u17754), _u17755), _u17757)) | ~c_Fun_Oinj__on(_u17753, _u17754, _u17755, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17753, tc_HOL_Obool)), hAPP(c_List_Oset(_u17753), _u17756)), hAPP(c_List_Oset(_u17753), _u17757))) | ( _u17756 = _u17757) )).
% 27.71/27.96 cnf(matrix-7242, plain, ( hBOOL(hAPP(hAPP(c_member(_u17758), _u17759), hAPP(c_List_Oset(_u17758), _u17760))) | ( hAPP(hAPP(c_List_Omap(_u17758, _u17761), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17758, _u17761), _u17762), _u17759), _u17763)), _u17760) = hAPP(hAPP(c_List_Omap(_u17758, _u17761), _u17762), _u17760)) )).
% 27.71/27.96 cnf(matrix-7243, plain, ( ~c_Fun_Oinj__on(_u17764, _u17765, _u17766, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17764, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17764), tc_fun(_u17764, tc_HOL_Obool), c_List_Oset(_u17764)), _u17767))) | c_Fun_Oinj__on(tc_List_Olist(_u17764), tc_List_Olist(_u17765), hAPP(c_List_Omap(_u17764, _u17765), _u17766), _u17767) )).
% 27.71/27.96 cnf(matrix-7244, plain, ( ( c_Map_Omap__of(_u17768, _u17769, _u17770) != c_Map_Omap__of(_u17768, _u17769, _u17771)) | ( hAPP(c_Set_Oimage(tc_prod(_u17768, _u17769), _u17768, c_Product__Type_Ofst(_u17768, _u17769)), hAPP(c_List_Oset(tc_prod(_u17768, _u17769)), _u17770)) = hAPP(c_Set_Oimage(tc_prod(_u17768, _u17769), _u17768, c_Product__Type_Ofst(_u17768, _u17769)), hAPP(c_List_Oset(tc_prod(_u17768, _u17769)), _u17771))) )).
% 27.71/27.96 cnf(matrix-7245, plain, ( ( hAPP(c_Map_Omap__of(_u17772, _u17773, _u17774), _u17775) != hAPP(c_Option_Ooption_OSome(_u17773), _u17776)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17772, _u17773)), hAPP(hAPP(c_Product__Type_OPair(_u17772, _u17773), _u17775), _u17776)), hAPP(c_List_Oset(tc_prod(_u17772, _u17773)), _u17774))) )).
% 27.71/27.96 cnf(matrix-7246, plain, ( ( hAPP(c_Map_Omap__of(_u17777, _u17778, _u17779), _u17780) != hAPP(c_Option_Ooption_OSome(_u17778), _u17781)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17777, _u17778)), hAPP(hAPP(c_Product__Type_OPair(_u17777, _u17778), _u17780), _u17781)), hAPP(c_List_Oset(tc_prod(_u17777, _u17778)), _u17779))) )).
% 27.71/27.96 cnf(matrix-7247, plain, ( ( c_Map_Odom(_u17782, _u17783, c_Map_Omap__of(_u17782, _u17783, _u17784)) = hAPP(c_Set_Oimage(tc_prod(_u17782, _u17783), _u17782, c_Product__Type_Ofst(_u17782, _u17783)), hAPP(c_List_Oset(tc_prod(_u17782, _u17783)), _u17784))) )).
% 27.71/27.96 cnf(matrix-7248, plain, ( ( hAPP(c_Map_Omap__of(_u17789, _u17791, _u17793), _u17795) != c_Option_Ooption_ONone(_u17791)) | ~hBOOL(hAPP(hAPP(c_member(_u17789), _u17795), hAPP(c_Set_Oimage(tc_prod(_u17789, _u17791), _u17789, c_Product__Type_Ofst(_u17789, _u17791)), hAPP(c_List_Oset(tc_prod(_u17789, _u17791)), _u17793)))) )).
% 27.71/27.96 cnf(matrix-7249, plain, ( hBOOL(hAPP(hAPP(c_member(_u17790), _u17796), hAPP(c_Set_Oimage(tc_prod(_u17790, _u17792), _u17790, c_Product__Type_Ofst(_u17790, _u17792)), hAPP(c_List_Oset(tc_prod(_u17790, _u17792)), _u17794)))) | ( hAPP(c_Map_Omap__of(_u17790, _u17792, _u17794), _u17796) = c_Option_Ooption_ONone(_u17792)) )).
% 27.71/27.96 cnf(matrix-7250, plain, ( ( hAPP(c_Option_Omap(_u17797, _u17798), _u17799) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17798), _u17797, c_Option_Ooption_ONone(_u17798), hAPP(hAPP(c_COMBB(_u17798, tc_Option_Ooption(_u17798), _u17797), c_Option_Ooption_OSome(_u17798)), _u17799))) )).
% 27.71/27.96 cnf(matrix-7251, plain, ( ~c_Com_OWT__bodies | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname, tc_Com_Ocom)), _u17800), 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)), _u17800)) )).
% 27.71/27.96 cnf(matrix-7252, plain, ( c_Com_OWT__bodies | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname, tc_Com_Ocom)), skolem450), hAPP(c_List_Oset(tc_prod(tc_Com_Opname, tc_Com_Ocom)), c_Com_Obodies))) )).
% 27.71/27.96 cnf(matrix-7253, 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)), skolem450)) )).
% 27.71/27.96 cnf(matrix-7254, plain, ( ( c_Map_Omap__of(_u17802, _u17803, hAPP(hAPP(c_List_Omap(_u17802, tc_prod(_u17802, _u17803)), hAPP(hAPP(c_COMBS(_u17802, _u17803, tc_prod(_u17802, _u17803)), c_Product__Type_OPair(_u17802, _u17803)), _u17804)), _u17805)) = c_Map_Orestrict__map(_u17802, _u17803, hAPP(c_Fun_Ocomp(_u17803, tc_Option_Ooption(_u17803), _u17802, c_Option_Ooption_OSome(_u17803)), _u17804), hAPP(c_List_Oset(_u17802), _u17805))) )).
% 27.71/27.96 cnf(matrix-7255, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17806), hAPP(hAPP(c_List_Omap(tc_prod(_u17806, _u17807), _u17806), c_Product__Type_Ofst(_u17806, _u17807)), _u17808))) | ( c_Map_Oran(_u17806, _u17807, c_Map_Omap__of(_u17806, _u17807, _u17808)) = hAPP(c_Set_Oimage(tc_prod(_u17806, _u17807), _u17807, c_Product__Type_Osnd(_u17806, _u17807)), hAPP(c_List_Oset(tc_prod(_u17806, _u17807)), _u17808))) )).
% 27.71/27.96 cnf(matrix-7256, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17809), hAPP(hAPP(c_List_Omap(tc_prod(_u17809, _u17810), _u17809), c_Product__Type_Ofst(_u17809, _u17810)), _u17811))) | ( hAPP(c_List_Oset(tc_prod(_u17809, _u17810)), _u17811) = hAPP(c_Set_OCollect(tc_prod(_u17809, _u17810)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17809, _u17810, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u17809, tc_fun(_u17810, tc_Option_Ooption(_u17810)), tc_fun(_u17810, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17810), tc_HOL_Obool), tc_fun(tc_fun(_u17810, tc_Option_Ooption(_u17810)), tc_fun(_u17810, tc_HOL_Obool)), _u17809), c_COMBB(tc_Option_Ooption(_u17810), tc_HOL_Obool, _u17810)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u17810), tc_fun(tc_Option_Ooption(_u17810), tc_HOL_Obool), _u17809), c_fequal), c_Map_Omap__of(_u17809, _u17810, _u17811)))), c_Option_Ooption_OSome(_u17810))))) )).
% 27.71/27.96 cnf(matrix-7257, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17816), hAPP(hAPP(c_List_Omap(_u17818, _u17816), _u17820), _u17822))) | hBOOL(hAPP(c_List_Odistinct(_u17818), _u17822)) )).
% 27.71/27.96 cnf(matrix-7258, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17816), hAPP(hAPP(c_List_Omap(_u17818, _u17816), _u17820), _u17822))) | c_Fun_Oinj__on(_u17818, _u17816, _u17820, hAPP(c_List_Oset(_u17818), _u17822)) )).
% 27.71/27.96 cnf(matrix-7259, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17819), _u17823)) | ~c_Fun_Oinj__on(_u17819, _u17817, _u17821, hAPP(c_List_Oset(_u17819), _u17823)) | hBOOL(hAPP(c_List_Odistinct(_u17817), hAPP(hAPP(c_List_Omap(_u17819, _u17817), _u17821), _u17823))) )).
% 27.71/27.96 cnf(matrix-7260, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17824), hAPP(hAPP(c_List_Omap(tc_prod(_u17824, _u17825), _u17824), c_Product__Type_Ofst(_u17824, _u17825)), _u17826))) | ~hBOOL(hAPP(c_List_Odistinct(_u17824), hAPP(hAPP(c_List_Omap(tc_prod(_u17824, _u17825), _u17824), c_Product__Type_Ofst(_u17824, _u17825)), _u17827))) | ( c_Map_Omap__of(_u17824, _u17825, _u17826) != c_Map_Omap__of(_u17824, _u17825, _u17827)) | ( hAPP(c_List_Oset(tc_prod(_u17824, _u17825)), _u17826) = hAPP(c_List_Oset(tc_prod(_u17824, _u17825)), _u17827)) )).
% 27.71/27.96 cnf(matrix-7261, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17824), hAPP(hAPP(c_List_Omap(tc_prod(_u17824, _u17825), _u17824), c_Product__Type_Ofst(_u17824, _u17825)), _u17826))) | ~hBOOL(hAPP(c_List_Odistinct(_u17824), hAPP(hAPP(c_List_Omap(tc_prod(_u17824, _u17825), _u17824), c_Product__Type_Ofst(_u17824, _u17825)), _u17827))) | ( hAPP(c_List_Oset(tc_prod(_u17824, _u17825)), _u17826) != hAPP(c_List_Oset(tc_prod(_u17824, _u17825)), _u17827)) | ( c_Map_Omap__of(_u17824, _u17825, _u17826) = c_Map_Omap__of(_u17824, _u17825, _u17827)) )).
% 27.71/27.96 cnf(matrix-7262, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17828), hAPP(hAPP(c_List_Omap(tc_prod(_u17828, _u17829), _u17828), c_Product__Type_Ofst(_u17828, _u17829)), _u17830))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17828, _u17829)), hAPP(hAPP(c_Product__Type_OPair(_u17828, _u17829), _u17831), _u17832)), hAPP(c_List_Oset(tc_prod(_u17828, _u17829)), _u17830))) | ( hAPP(c_Map_Omap__of(_u17828, _u17829, _u17830), _u17831) = hAPP(c_Option_Ooption_OSome(_u17829), _u17832)) )).
% 27.71/27.96 cnf(matrix-7263, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17833), hAPP(hAPP(c_List_Omap(tc_prod(_u17833, _u17834), _u17833), c_Product__Type_Ofst(_u17833, _u17834)), _u17835))) | ( hAPP(c_Map_Omap__of(_u17833, _u17834, _u17835), _u17836) != hAPP(c_Option_Ooption_OSome(_u17834), _u17837)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17833, _u17834)), hAPP(hAPP(c_Product__Type_OPair(_u17833, _u17834), _u17836), _u17837)), hAPP(c_List_Oset(tc_prod(_u17833, _u17834)), _u17835))) )).
% 27.71/27.96 cnf(matrix-7264, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17833), hAPP(hAPP(c_List_Omap(tc_prod(_u17833, _u17834), _u17833), c_Product__Type_Ofst(_u17833, _u17834)), _u17835))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17833, _u17834)), hAPP(hAPP(c_Product__Type_OPair(_u17833, _u17834), _u17836), _u17837)), hAPP(c_List_Oset(tc_prod(_u17833, _u17834)), _u17835))) | ( hAPP(c_Map_Omap__of(_u17833, _u17834, _u17835), _u17836) = hAPP(c_Option_Ooption_OSome(_u17834), _u17837)) )).
% 27.71/27.96 cnf(matrix-7265, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17838), hAPP(hAPP(c_List_Omap(tc_prod(_u17838, _u17839), _u17838), c_Product__Type_Ofst(_u17838, _u17839)), _u17840))) | ( hAPP(c_Option_Ooption_OSome(_u17839), _u17841) != hAPP(c_Map_Omap__of(_u17838, _u17839, _u17840), _u17842)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17838, _u17839)), hAPP(hAPP(c_Product__Type_OPair(_u17838, _u17839), _u17842), _u17841)), hAPP(c_List_Oset(tc_prod(_u17838, _u17839)), _u17840))) )).
% 27.71/27.96 cnf(matrix-7266, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17838), hAPP(hAPP(c_List_Omap(tc_prod(_u17838, _u17839), _u17838), c_Product__Type_Ofst(_u17838, _u17839)), _u17840))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17838, _u17839)), hAPP(hAPP(c_Product__Type_OPair(_u17838, _u17839), _u17842), _u17841)), hAPP(c_List_Oset(tc_prod(_u17838, _u17839)), _u17840))) | ( hAPP(c_Option_Ooption_OSome(_u17839), _u17841) = hAPP(c_Map_Omap__of(_u17838, _u17839, _u17840), _u17842)) )).
% 27.71/27.96 cnf(matrix-7267, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u17843, _u17844) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17843), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u17844), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 27.71/27.96 cnf(matrix-7268, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17846, _u17847)), hAPP(hAPP(c_Product__Type_OPair(_u17846, _u17847), _u17848), _u17849)), hAPP(c_List_Oset(tc_prod(_u17846, _u17847)), _u17850))) | ( hAPP(c_Map_Omap__of(_u17846, _u17847, _u17850), _u17848) = hAPP(c_Option_Ooption_OSome(_u17847), skolem451(_u17850, _u17849, _u17848, _u17847, _u17846))) )).
% 27.71/27.96 cnf(matrix-7269, plain, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17851, _u17852)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u17851, _u17852)) )).
% 27.71/27.96 cnf(matrix-7270, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u17853, _u17854) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17853, _u17854))) )).
% 27.71/27.96 cnf(matrix-7271, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u17855, _u17856))) )).
% 27.71/27.96 cnf(matrix-7272, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u17857), _u17858) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17857, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u17858), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 27.71/27.96 cnf(matrix-7273, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u17859, _u17860) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17859), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u17860))) )).
% 27.71/27.96 cnf(matrix-7274, plain, ( ~c_List_Onat__list(_u17862) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u17862)) )).
% 27.71/27.96 cnf(matrix-7275, plain, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u17863)) | c_List_Onat__list(_u17863) )).
% 27.71/27.96 cnf(matrix-7276, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17864), _u17865)) | ( hAPP(c_List_Oset(_u17864), c_List_Oremove1(_u17864, _u17866, _u17865)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17864, tc_HOL_Obool)), hAPP(c_List_Oset(_u17864), _u17865)), hAPP(hAPP(c_Set_Oinsert(_u17864), _u17866), c_Orderings_Obot__class_Obot(tc_fun(_u17864, tc_HOL_Obool))))) )).
% 27.71/27.96 cnf(matrix-7277, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17867, tc_HOL_Obool)), hAPP(c_List_Oset(_u17867), c_List_Oremove1(_u17867, _u17868, _u17869))), hAPP(c_List_Oset(_u17867), _u17869))) )).
% 27.71/27.96 cnf(matrix-7278, plain, ( hBOOL(hAPP(hAPP(c_member(_u17870), _u17871), hAPP(c_List_Oset(_u17870), _u17872))) | ( c_List_Oremove1(_u17870, _u17871, _u17872) = _u17872) )).
% 27.71/27.96 cnf(matrix-7279, plain, ( hBOOL(hAPP(hAPP(c_member(_u17873), _u17874), hAPP(c_List_Oset(_u17873), _u17875))) | ~hBOOL(hAPP(hAPP(c_member(_u17873), _u17874), hAPP(c_List_Oset(_u17873), c_List_Oremove1(_u17873, _u17876, _u17875)))) )).
% 27.71/27.96 cnf(matrix-7280, plain, ( ( _u17877 = _u17878) | ~hBOOL(hAPP(hAPP(c_member(_u17879), _u17877), hAPP(c_List_Oset(_u17879), c_List_Oremove1(_u17879, _u17878, _u17880)))) | hBOOL(hAPP(hAPP(c_member(_u17879), _u17877), hAPP(c_List_Oset(_u17879), _u17880))) )).
% 27.71/27.96 cnf(matrix-7281, plain, ( ( _u17877 = _u17878) | ~hBOOL(hAPP(hAPP(c_member(_u17879), _u17877), hAPP(c_List_Oset(_u17879), _u17880))) | hBOOL(hAPP(hAPP(c_member(_u17879), _u17877), hAPP(c_List_Oset(_u17879), c_List_Oremove1(_u17879, _u17878, _u17880)))) )).
% 27.71/27.96 cnf(matrix-7282, plain, ( ( c_List_Oremove1(_u17881, _u17882, c_List_Oremove1(_u17881, _u17883, _u17884)) = c_List_Oremove1(_u17881, _u17883, c_List_Oremove1(_u17881, _u17882, _u17884))) )).
% 27.71/27.96 cnf(matrix-7283, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17885), _u17886)) | hBOOL(hAPP(c_List_Odistinct(_u17885), c_List_Oremove1(_u17885, _u17887, _u17886))) )).
% 27.71/27.96 cnf(matrix-7284, plain, ( ~class_Orderings_Olinorder(_u17888) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17888), _u17889)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17888, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17888, tc_HOL_Obool)), _u17889), hAPP(hAPP(c_Set_Oinsert(_u17888), _u17890), c_Orderings_Obot__class_Obot(tc_fun(_u17888, tc_HOL_Obool))))) = c_List_Oremove1(_u17888, _u17890, c_List_Olinorder__class_Osorted__list__of__set(_u17888, _u17889))) )).
% 27.71/27.96 cnf(matrix-7285, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17896), _u17898), hAPP(c_List_Oset(_u17896), _u17900))) | ( hAPP(c_Map_Omap__of(_u17896, _u17902, hAPP(hAPP(c_List_Ozip(_u17896, _u17902), _u17900), hAPP(hAPP(c_List_Omap(_u17896, _u17902), _u17904), _u17900))), _u17898) = hAPP(c_Option_Ooption_OSome(_u17902), hAPP(_u17904, _u17898))) )).
% 27.71/27.96 cnf(matrix-7286, plain, ( hBOOL(hAPP(hAPP(c_member(_u17897), _u17899), hAPP(c_List_Oset(_u17897), _u17901))) | ( hAPP(c_Map_Omap__of(_u17897, _u17903, hAPP(hAPP(c_List_Ozip(_u17897, _u17903), _u17901), hAPP(hAPP(c_List_Omap(_u17897, _u17903), _u17905), _u17901))), _u17899) = c_Option_Ooption_ONone(_u17903)) )).
% 27.71/27.96 cnf(matrix-7287, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17906), _u17907)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17906, _u17908)), hAPP(hAPP(c_List_Ozip(_u17906, _u17908), _u17907), _u17909))) )).
% 27.71/27.96 cnf(matrix-7288, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17910), _u17911)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17912, _u17910)), hAPP(hAPP(c_List_Ozip(_u17912, _u17910), _u17913), _u17911))) )).
% 27.71/27.96 cnf(matrix-7289, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17914, _u17914), _u17915), _u17915) = hAPP(hAPP(c_List_Omap(_u17914, tc_prod(_u17914, _u17914)), hAPP(hAPP(c_COMBS(_u17914, _u17914, tc_prod(_u17914, _u17914)), c_Product__Type_OPair(_u17914, _u17914)), c_COMBI(_u17914))), _u17915)) )).
% 27.71/27.96 cnf(matrix-7290, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17916, _u17917), hAPP(hAPP(c_List_Omap(tc_prod(_u17916, _u17917), _u17916), c_Product__Type_Ofst(_u17916, _u17917)), _u17918)), hAPP(hAPP(c_List_Omap(tc_prod(_u17916, _u17917), _u17917), c_Product__Type_Osnd(_u17916, _u17917)), _u17918)) = _u17918) )).
% 27.71/27.96 cnf(matrix-7291, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17919, _u17920), _u17921), _u17922), hAPP(hAPP(c_List_Ozip(_u17919, _u17920), _u17923), hAPP(hAPP(c_List_Omap(_u17924, _u17920), _u17925), _u17926))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17919, _u17924), _u17921), hAPP(c_Product__Type_Oprod_Oprod__case(_u17919, _u17924, _u17921), hAPP(hAPP(c_COMBB(tc_fun(_u17924, tc_prod(_u17919, _u17920)), tc_fun(_u17924, _u17921), _u17919), hAPP(c_COMBB(tc_prod(_u17919, _u17920), _u17921, _u17924), _u17922)), hAPP(hAPP(c_COMBC(_u17919, tc_fun(_u17924, _u17920), tc_fun(_u17924, tc_prod(_u17919, _u17920))), hAPP(hAPP(c_COMBB(tc_fun(_u17920, tc_prod(_u17919, _u17920)), tc_fun(tc_fun(_u17924, _u17920), tc_fun(_u17924, tc_prod(_u17919, _u17920))), _u17919), c_COMBB(_u17920, tc_prod(_u17919, _u17920), _u17924)), c_Product__Type_OPair(_u17919, _u17920))), _u17925)))), hAPP(hAPP(c_List_Ozip(_u17919, _u17924), _u17923), _u17926))) )).
% 27.71/27.96 cnf(matrix-7292, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17927, _u17928), _u17929), _u17930), hAPP(hAPP(c_List_Ozip(_u17927, _u17928), hAPP(hAPP(c_List_Omap(_u17931, _u17927), _u17932), _u17933)), _u17934)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17931, _u17928), _u17929), hAPP(c_Product__Type_Oprod_Oprod__case(_u17931, _u17928, _u17929), hAPP(hAPP(c_COMBB(tc_fun(_u17928, tc_prod(_u17927, _u17928)), tc_fun(_u17928, _u17929), _u17931), hAPP(c_COMBB(tc_prod(_u17927, _u17928), _u17929, _u17928), _u17930)), hAPP(hAPP(c_COMBB(_u17927, tc_fun(_u17928, tc_prod(_u17927, _u17928)), _u17931), c_Product__Type_OPair(_u17927, _u17928)), _u17932)))), hAPP(hAPP(c_List_Ozip(_u17931, _u17928), _u17933), _u17934))) )).
% 27.71/27.96 cnf(matrix-7293, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17935, _u17936)), hAPP(hAPP(c_Product__Type_OPair(_u17935, _u17936), _u17937), _u17938)), hAPP(c_List_Oset(tc_prod(_u17935, _u17936)), hAPP(hAPP(c_List_Ozip(_u17935, _u17936), _u17939), _u17940)))) | hBOOL(hAPP(hAPP(c_member(_u17935), _u17937), hAPP(c_List_Oset(_u17935), _u17939))) )).
% 27.71/27.96 cnf(matrix-7294, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17935, _u17936)), hAPP(hAPP(c_Product__Type_OPair(_u17935, _u17936), _u17937), _u17938)), hAPP(c_List_Oset(tc_prod(_u17935, _u17936)), hAPP(hAPP(c_List_Ozip(_u17935, _u17936), _u17939), _u17940)))) | hBOOL(hAPP(hAPP(c_member(_u17936), _u17938), hAPP(c_List_Oset(_u17936), _u17940))) )).
% 27.71/27.96 cnf(matrix-7295, plain, ( hBOOL(hAPP(hAPP(c_member(_u17942), _u17944), hAPP(c_List_Oset(_u17942), _u17946))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17941, _u17942)), hAPP(hAPP(c_Product__Type_OPair(_u17941, _u17942), _u17943), _u17944)), hAPP(c_List_Oset(tc_prod(_u17941, _u17942)), hAPP(hAPP(c_List_Ozip(_u17941, _u17942), _u17945), _u17946)))) )).
% 27.71/27.96 cnf(matrix-7296, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17947, _u17948)), hAPP(hAPP(c_Product__Type_OPair(_u17947, _u17948), _u17949), _u17950)), hAPP(c_List_Oset(tc_prod(_u17947, _u17948)), hAPP(hAPP(c_List_Ozip(_u17947, _u17948), _u17951), _u17952)))) | hBOOL(hAPP(hAPP(c_member(_u17947), _u17949), hAPP(c_List_Oset(_u17947), _u17951))) )).
% 27.71/27.96 cnf(matrix-7297, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17957, _u17957)), hAPP(hAPP(c_Product__Type_OPair(_u17957, _u17957), _u17959), _u17961)), hAPP(c_List_Oset(tc_prod(_u17957, _u17957)), hAPP(hAPP(c_List_Ozip(_u17957, _u17957), _u17963), _u17963)))) | hBOOL(hAPP(hAPP(c_member(_u17957), _u17959), hAPP(c_List_Oset(_u17957), _u17963))) )).
% 27.71/27.96 cnf(matrix-7298, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17957, _u17957)), hAPP(hAPP(c_Product__Type_OPair(_u17957, _u17957), _u17959), _u17961)), hAPP(c_List_Oset(tc_prod(_u17957, _u17957)), hAPP(hAPP(c_List_Ozip(_u17957, _u17957), _u17963), _u17963)))) | ( _u17959 = _u17961) )).
% 27.71/27.96 cnf(matrix-7299, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17958), _u17960), hAPP(c_List_Oset(_u17958), _u17964))) | ( _u17960 != _u17962) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17958, _u17958)), hAPP(hAPP(c_Product__Type_OPair(_u17958, _u17958), _u17960), _u17962)), hAPP(c_List_Oset(tc_prod(_u17958, _u17958)), hAPP(hAPP(c_List_Ozip(_u17958, _u17958), _u17964), _u17964)))) )).
% 27.71/27.96 cnf(matrix-7300, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17965, _u17966), _u17967), hAPP(hAPP(c_List_Omap(_u17968, _u17966), _u17969), _u17970)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17965, _u17968), tc_prod(_u17965, _u17966)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17965, _u17968, tc_prod(_u17965, _u17966)), hAPP(hAPP(c_COMBC(_u17965, tc_fun(_u17968, _u17966), tc_fun(_u17968, tc_prod(_u17965, _u17966))), hAPP(hAPP(c_COMBB(tc_fun(_u17966, tc_prod(_u17965, _u17966)), tc_fun(tc_fun(_u17968, _u17966), tc_fun(_u17968, tc_prod(_u17965, _u17966))), _u17965), c_COMBB(_u17966, tc_prod(_u17965, _u17966), _u17968)), c_Product__Type_OPair(_u17965, _u17966))), _u17969))), hAPP(hAPP(c_List_Ozip(_u17965, _u17968), _u17967), _u17970))) )).
% 27.71/27.96 cnf(matrix-7301, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17971, _u17972), hAPP(hAPP(c_List_Omap(_u17973, _u17971), _u17974), _u17975)), _u17976) = hAPP(hAPP(c_List_Omap(tc_prod(_u17973, _u17972), tc_prod(_u17971, _u17972)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17973, _u17972, tc_prod(_u17971, _u17972)), hAPP(hAPP(c_COMBB(_u17971, tc_fun(_u17972, tc_prod(_u17971, _u17972)), _u17973), c_Product__Type_OPair(_u17971, _u17972)), _u17974))), hAPP(hAPP(c_List_Ozip(_u17973, _u17972), _u17975), _u17976))) )).
% 27.71/27.96 cnf(matrix-7302, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17977, _u17978), hAPP(hAPP(c_List_Omap(_u17979, _u17977), _u17980), _u17981)), hAPP(hAPP(c_List_Omap(_u17982, _u17978), _u17983), _u17984)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17979, _u17982), tc_prod(_u17977, _u17978)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17979, _u17982, tc_prod(_u17977, _u17978)), hAPP(hAPP(c_COMBC(_u17979, tc_fun(_u17982, _u17978), tc_fun(_u17982, tc_prod(_u17977, _u17978))), hAPP(hAPP(c_COMBB(tc_fun(_u17978, tc_prod(_u17977, _u17978)), tc_fun(tc_fun(_u17982, _u17978), tc_fun(_u17982, tc_prod(_u17977, _u17978))), _u17979), c_COMBB(_u17978, tc_prod(_u17977, _u17978), _u17982)), hAPP(hAPP(c_COMBB(_u17977, tc_fun(_u17978, tc_prod(_u17977, _u17978)), _u17979), c_Product__Type_OPair(_u17977, _u17978)), _u17980))), _u17983))), hAPP(hAPP(c_List_Ozip(_u17979, _u17982), _u17981), _u17984))) )).
% 27.71/27.96 cnf(matrix-7303, plain, ( ~class_Orderings_Olinorder(_u17985) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17985), _u17986)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17985, hAPP(hAPP(c_Set_Oinsert(_u17985), _u17987), _u17986)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17985, _u17985, c_COMBI(_u17985)), _u17987), c_List_Olinorder__class_Osorted__list__of__set(_u17985, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17985, tc_HOL_Obool)), _u17986), hAPP(hAPP(c_Set_Oinsert(_u17985), _u17987), c_Orderings_Obot__class_Obot(tc_fun(_u17985, tc_HOL_Obool))))))) )).
% 27.71/27.96 cnf(matrix-7304, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17988)), _u17989) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17990)), _u17991)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17988)), _u17992) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17990)), _u17991)) | hBOOL(hAPP(hAPP(c_member(_u17990), _u17993), hAPP(c_List_Oset(_u17990), _u17991))) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17990, tc_Option_Ooption(_u17988)), c_Map_Omap__of(_u17990, _u17988, hAPP(hAPP(c_List_Ozip(_u17990, _u17988), _u17991), _u17989))), _u17993), hAPP(c_Option_Ooption_OSome(_u17988), _u17994)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17990, tc_Option_Ooption(_u17988)), c_Map_Omap__of(_u17990, _u17988, hAPP(hAPP(c_List_Ozip(_u17990, _u17988), _u17991), _u17992))), _u17993), hAPP(c_Option_Ooption_OSome(_u17988), _u17995))) | ( c_Map_Omap__of(_u17990, _u17988, hAPP(hAPP(c_List_Ozip(_u17990, _u17988), _u17991), _u17989)) = c_Map_Omap__of(_u17990, _u17988, hAPP(hAPP(c_List_Ozip(_u17990, _u17988), _u17991), _u17992))) )).
% 27.71/27.96 cnf(matrix-7305, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u17996, _u17997))), hAPP(hAPP(c_List_Ozip(_u17996, _u17997), _u17998), _u17999)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17996)), _u17998)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17997)), _u17999))) )).
% 27.71/27.96 cnf(matrix-7306, plain, ( ~class_Orderings_Olinorder(_u18000) | ( hAPP(c_List_Oset(_u18001), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18001, _u18000, _u18002), _u18003), _u18004)) = hAPP(hAPP(c_Set_Oinsert(_u18001), _u18003), hAPP(c_List_Oset(_u18001), _u18004))) )).
% 27.71/27.96 cnf(matrix-7307, plain, ( ~class_Orderings_Olinorder(_u18005) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18005, _u18005, c_COMBI(_u18005)), _u18006), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18005, _u18005, c_COMBI(_u18005)), _u18007), _u18008)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18005, _u18005, c_COMBI(_u18005)), _u18007), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18005, _u18005, c_COMBI(_u18005)), _u18006), _u18008))) )).
% 27.71/27.96 cnf(matrix-7308, plain, ( ~class_Orderings_Olinorder(_u18009) | ( hAPP(_u18010, _u18011) = hAPP(_u18010, _u18012)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18013, _u18009, _u18010), _u18012), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18013, _u18009, _u18010), _u18011), _u18014)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18013, _u18009, _u18010), _u18011), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18013, _u18009, _u18010), _u18012), _u18014))) )).
% 27.71/27.96 cnf(matrix-7309, plain, ( ~class_Orderings_Olinorder(_u18015) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18016)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18016, _u18015, _u18017), _u18018), _u18019)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18016)), _u18019))) )).
% 27.71/27.96 cnf(matrix-7310, plain, ( ( _u18021 != _u18022) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18020)), _u18021) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18020)), _u18022)) )).
% 27.71/27.96 cnf(matrix-7311, plain, ( ~class_Orderings_Olinorder(_u18023) | c_Finite__Set_Ofun__left__comm(_u18023, tc_List_Olist(_u18023), c_List_Olinorder__class_Oinsort__key(_u18023, _u18023, c_COMBI(_u18023))) )).
% 27.71/27.96 cnf(matrix-7312, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18024), tc_List_Olist(_u18024))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18024), tc_List_Olist(_u18024)), _u18025), _u18026)), hAPP(c_List_Olexn(_u18024, _u18027), _u18028))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18024)), _u18025) = _u18028) )).
% 27.71/27.96 cnf(matrix-7313, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18024), tc_List_Olist(_u18024))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18024), tc_List_Olist(_u18024)), _u18025), _u18026)), hAPP(c_List_Olexn(_u18024, _u18027), _u18028))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18024)), _u18026) = _u18028) )).
% 27.71/27.96 cnf(matrix-7314, plain, ( ( hAPP(hAPP(c_List_Omap(_u18029, _u18030), _u18031), _u18032) != hAPP(hAPP(c_List_Omap(_u18033, _u18030), _u18034), _u18035)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18029)), _u18032) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18033)), _u18035)) )).
% 27.71/27.96 cnf(matrix-7315, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18036)), hAPP(hAPP(c_List_Omap(_u18037, _u18036), _u18038), _u18039)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18037)), _u18039)) )).
% 27.71/27.96 cnf(matrix-7316, plain, ( ~class_Orderings_Olinorder(_u18040) | ( c_List_Oremove1(_u18040, _u18041, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18040, _u18040, c_COMBI(_u18040)), _u18041), _u18042)) = _u18042) )).
% 27.71/27.96 cnf(matrix-7317, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u18043), hAPP(c_List_Oset(_u18043), _u18044))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18043)), _u18044))) )).
% 27.71/27.96 cnf(matrix-7318, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18045), _u18046)) | ( hAPP(c_Finite__Set_Ocard(_u18045), hAPP(c_List_Oset(_u18045), _u18046)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18045)), _u18046)) )).
% 27.71/27.96 cnf(matrix-7319, plain, ( ( hAPP(c_Finite__Set_Ocard(_u18047), hAPP(c_List_Oset(_u18047), _u18048)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18047)), _u18048)) | hBOOL(hAPP(c_List_Odistinct(_u18047), _u18048)) )).
% 27.71/27.96 cnf(matrix-7320, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18049)), _u18050) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18051)), _u18052)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18049)), _u18053) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18051)), _u18052)) | ~hBOOL(hAPP(c_List_Odistinct(_u18051), _u18052)) | ( c_Map_Omap__of(_u18051, _u18049, hAPP(hAPP(c_List_Ozip(_u18051, _u18049), _u18052), _u18050)) != c_Map_Omap__of(_u18051, _u18049, hAPP(hAPP(c_List_Ozip(_u18051, _u18049), _u18052), _u18053))) | ( _u18050 = _u18053) )).
% 27.71/27.96 cnf(matrix-7321, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18054)), _u18055) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18056)), _u18057)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u18054, _u18056), _u18054), c_Product__Type_Ofst(_u18054, _u18056)), hAPP(hAPP(c_List_Ozip(_u18054, _u18056), _u18055), _u18057)) = _u18055) )).
% 27.71/27.96 cnf(matrix-7322, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18058)), _u18059) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18060)), _u18061)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u18058, _u18060), _u18060), c_Product__Type_Osnd(_u18058, _u18060)), hAPP(hAPP(c_List_Ozip(_u18058, _u18060), _u18059), _u18061)) = _u18061) )).
% 27.71/27.96 cnf(matrix-7323, plain, ( ~class_Orderings_Olinorder(_u18062) | ~hBOOL(hAPP(c_List_Odistinct(_u18063), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18063, _u18062, _u18064), _u18065), _u18066))) | ~hBOOL(hAPP(hAPP(c_member(_u18063), _u18065), hAPP(c_List_Oset(_u18063), _u18066))) )).
% 27.71/27.96 cnf(matrix-7324, plain, ( ~class_Orderings_Olinorder(_u18062) | ~hBOOL(hAPP(c_List_Odistinct(_u18063), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18063, _u18062, _u18064), _u18065), _u18066))) | hBOOL(hAPP(c_List_Odistinct(_u18063), _u18066)) )).
% 27.71/27.96 cnf(matrix-7325, plain, ( ~class_Orderings_Olinorder(_u18062) | hBOOL(hAPP(hAPP(c_member(_u18063), _u18065), hAPP(c_List_Oset(_u18063), _u18066))) | ~hBOOL(hAPP(c_List_Odistinct(_u18063), _u18066)) | hBOOL(hAPP(c_List_Odistinct(_u18063), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18063, _u18062, _u18064), _u18065), _u18066))) )).
% 27.71/27.96 cnf(matrix-7326, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18067), _u18068), hAPP(c_List_Oset(_u18067), _u18069))) | 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(_u18067)), _u18069))) )).
% 27.71/27.96 cnf(matrix-7327, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18070)), _u18071) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18072)), _u18073)) | ( hAPP(hAPP(c_List_Ozip(_u18070, _u18072), _u18071), _u18073) != _u18074) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u18070, _u18072), _u18070), c_Product__Type_Ofst(_u18070, _u18072)), _u18074) = _u18071) )).
% 27.71/27.96 cnf(matrix-7328, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18070)), _u18071) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18072)), _u18073)) | ( hAPP(hAPP(c_List_Ozip(_u18070, _u18072), _u18071), _u18073) != _u18074) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u18070, _u18072), _u18072), c_Product__Type_Osnd(_u18070, _u18072)), _u18074) = _u18073) )).
% 27.71/27.96 cnf(matrix-7329, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18070)), _u18071) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18072)), _u18073)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u18070, _u18072), _u18070), c_Product__Type_Ofst(_u18070, _u18072)), _u18074) != _u18071) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u18070, _u18072), _u18072), c_Product__Type_Osnd(_u18070, _u18072)), _u18074) != _u18073) | ( hAPP(hAPP(c_List_Ozip(_u18070, _u18072), _u18071), _u18073) = _u18074) )).
% 27.71/27.96 cnf(matrix-7330, plain, ( ( c_List_Olenlex(_u18075, _u18076) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18075), tc_List_Olist(_u18075), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18075), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18075), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), tc_List_Olist(_u18075)), c_COMBS(tc_List_Olist(_u18075), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u18075)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18075)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18075), tc_fun(tc_List_Olist(_u18075), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18075), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), tc_List_Olist(_u18075)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18075))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18075)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18075))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18075)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18075), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18075), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), tc_List_Olist(_u18075)), c_COMBS(tc_List_Olist(_u18075), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u18075)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18075)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18075), tc_fun(tc_List_Olist(_u18075), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18075), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), tc_List_Olist(_u18075)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18075))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18075)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18075))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18075)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18075), tc_fun(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18075), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18075), tc_HOL_Obool)), tc_List_Olist(_u18075)), c_COMBC(tc_List_Olist(_u18075), tc_fun(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18075), tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075))), tc_fun(tc_List_Olist(_u18075), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u18075)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18075)), c_member(tc_prod(tc_List_Olist(_u18075), tc_List_Olist(_u18075))))), c_Product__Type_OPair(tc_List_Olist(_u18075), tc_List_Olist(_u18075))))), c_List_Olex(_u18075, _u18076))))))) )).
% 27.71/27.96 cnf(matrix-7331, plain, ( ( c_List_Olenlex(_u18077, _u18078) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u18077)), tc_List_Olist(_u18077)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u18077), c_Wellfounded_Oless__than, c_List_Olex(_u18077, _u18078))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18077), tc_List_Olist(_u18077), tc_prod(tc_Nat_Onat, tc_List_Olist(_u18077))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u18077), tc_prod(tc_Nat_Onat, tc_List_Olist(_u18077))), tc_List_Olist(_u18077)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u18077))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18077)))), c_COMBI(tc_List_Olist(_u18077))))) )).
% 27.71/27.96 cnf(matrix-7332, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18079), _u18080)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u18079)), hAPP(c_Set_OCollect(tc_List_Olist(_u18079)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18079), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18079)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18079), tc_fun(_u18079, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18079, tc_HOL_Obool), tc_fun(tc_fun(_u18079, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18079)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u18079, tc_HOL_Obool))), c_List_Oset(_u18079))), _u18080))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18079), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18079)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18079)))), _u18081))))) )).
% 27.71/27.96 cnf(matrix-7333, plain, ( ( _u18087 != _u18089) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18091)), _u18087) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18091)), _u18089)) )).
% 27.71/27.96 cnf(matrix-7334, plain, ( ( _u18087 != _u18089) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18091, _u18091)), _u18082), hAPP(c_List_Oset(tc_prod(_u18091, _u18091)), hAPP(hAPP(c_List_Ozip(_u18091, _u18091), _u18087), _u18089)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18091, _u18091, tc_HOL_Obool), c_fequal), _u18082)) )).
% 27.71/27.96 cnf(matrix-7335, plain, ( ( _u18088 = _u18090) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18092)), _u18088) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18092)), _u18090)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18092, _u18092)), skolem452(_u18092, _u18090, _u18088)), hAPP(c_List_Oset(tc_prod(_u18092, _u18092)), hAPP(hAPP(c_List_Ozip(_u18092, _u18092), _u18088), _u18090)))) )).
% 27.71/27.96 cnf(matrix-7336, plain, ( ( _u18088 = _u18090) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18092)), _u18088) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18092)), _u18090)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18092, _u18092, tc_HOL_Obool), c_fequal), skolem452(_u18092, _u18090, _u18088))) )).
% 27.71/27.96 cnf(matrix-7337, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18093)), _u18094) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18095)), _u18096)) | ( hAPP(c_Map_Omap__of(_u18093, _u18095, hAPP(hAPP(c_List_Ozip(_u18093, _u18095), _u18094), _u18096)), _u18097) != c_Option_Ooption_ONone(_u18095)) | ~hBOOL(hAPP(hAPP(c_member(_u18093), _u18097), hAPP(c_List_Oset(_u18093), _u18094))) )).
% 27.71/27.96 cnf(matrix-7338, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18093)), _u18094) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18095)), _u18096)) | hBOOL(hAPP(hAPP(c_member(_u18093), _u18097), hAPP(c_List_Oset(_u18093), _u18094))) | ( hAPP(c_Map_Omap__of(_u18093, _u18095, hAPP(hAPP(c_List_Ozip(_u18093, _u18095), _u18094), _u18096)), _u18097) = c_Option_Ooption_ONone(_u18095)) )).
% 27.71/27.96 cnf(matrix-7339, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18100)), _u18101) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18102)), _u18103)) | ~hBOOL(hAPP(hAPP(c_member(_u18100), _u18104), hAPP(c_List_Oset(_u18100), _u18101))) | ( hAPP(c_Map_Omap__of(_u18100, _u18102, hAPP(hAPP(c_List_Ozip(_u18100, _u18102), _u18101), _u18103)), _u18104) = hAPP(c_Option_Ooption_OSome(_u18102), skolem453(_u18104, _u18103, _u18102, _u18101, _u18100))) )).
% 27.71/27.96 cnf(matrix-7340, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18100)), _u18101) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18102)), _u18103)) | ( hAPP(c_Map_Omap__of(_u18100, _u18102, hAPP(hAPP(c_List_Ozip(_u18100, _u18102), _u18101), _u18103)), _u18104) != hAPP(c_Option_Ooption_OSome(_u18102), _u18099)) | hBOOL(hAPP(hAPP(c_member(_u18100), _u18104), hAPP(c_List_Oset(_u18100), _u18101))) )).
% 27.71/27.96 cnf(matrix-7341, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18108), _u18110), hAPP(c_List_Oset(_u18108), _u18112))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18108)), c_List_Oremove1(_u18108, _u18110, _u18112)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18108)), _u18112)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.71/27.96 cnf(matrix-7342, plain, ( hBOOL(hAPP(hAPP(c_member(_u18109), _u18111), hAPP(c_List_Oset(_u18109), _u18113))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18109)), c_List_Oremove1(_u18109, _u18111, _u18113)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18109)), _u18113)) )).
% 27.71/27.96 cnf(matrix-7343, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18114)), _u18115) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18116)), _u18117)) | ~hBOOL(hAPP(c_List_Odistinct(_u18114), _u18115)) | ( c_Map_Odom(_u18114, _u18116, c_Map_Omap__of(_u18114, _u18116, hAPP(hAPP(c_List_Ozip(_u18114, _u18116), _u18115), _u18117))) = hAPP(c_List_Oset(_u18114), _u18115)) )).
% 27.71/27.96 cnf(matrix-7344, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18118), _u18119)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u18118)), hAPP(c_Set_OCollect(tc_List_Olist(_u18118)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18118), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18118)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18118), tc_fun(_u18118, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18118, tc_HOL_Obool), tc_fun(tc_fun(_u18118, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18118)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u18118, tc_HOL_Obool))), c_List_Oset(_u18118))), _u18119))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18118), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18118)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18118)))), _u18120))))) )).
% 27.71/27.96 cnf(matrix-7345, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18123), _u18125)) | ( c_Nitpick_Ocard_H(_u18123, _u18125) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18123)), c_Hilbert__Choice_OEps(tc_List_Olist(_u18123), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18123), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18123)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18123), tc_fun(_u18123, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18123, tc_HOL_Obool), tc_fun(tc_fun(_u18123, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18123)), c_fequal), c_List_Oset(_u18123))), _u18125))), c_List_Odistinct(_u18123))))) )).
% 27.71/27.96 cnf(matrix-7346, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u18124), _u18126)) | ( c_Nitpick_Ocard_H(_u18124, _u18126) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-7347, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18133), tc_List_Olist(_u18133))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18133), tc_List_Olist(_u18133)), _u18135), _u18137)), c_List_Olistrel(_u18133, _u18139))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18133)), _u18135) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18133)), _u18137)) )).
% 27.71/27.96 cnf(matrix-7348, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18133), tc_List_Olist(_u18133))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18133), tc_List_Olist(_u18133)), _u18135), _u18137)), c_List_Olistrel(_u18133, _u18139))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18133, _u18133)), _u18127), hAPP(c_List_Oset(tc_prod(_u18133, _u18133)), hAPP(hAPP(c_List_Ozip(_u18133, _u18133), _u18135), _u18137)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18133, _u18133, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u18133, tc_fun(tc_prod(_u18133, _u18133), tc_HOL_Obool), tc_fun(_u18133, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18133, tc_fun(tc_fun(tc_prod(_u18133, _u18133), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18133, _u18133), tc_HOL_Obool), tc_fun(_u18133, tc_HOL_Obool)), _u18133), c_COMBC(_u18133, tc_fun(tc_prod(_u18133, _u18133), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18133, tc_prod(_u18133, _u18133)), tc_fun(_u18133, tc_fun(tc_fun(tc_prod(_u18133, _u18133), tc_HOL_Obool), tc_HOL_Obool)), _u18133), hAPP(c_COMBB(tc_prod(_u18133, _u18133), tc_fun(tc_fun(tc_prod(_u18133, _u18133), tc_HOL_Obool), tc_HOL_Obool), _u18133), c_member(tc_prod(_u18133, _u18133)))), c_Product__Type_OPair(_u18133, _u18133)))), _u18139)), _u18127)) )).
% 27.71/27.96 cnf(matrix-7349, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18134), tc_List_Olist(_u18134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18134), tc_List_Olist(_u18134)), _u18136), _u18138)), c_List_Olistrel(_u18134, _u18140))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18134)), _u18136) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18134)), _u18138)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18134, _u18134)), skolem454(_u18140, _u18138, _u18136, _u18134)), hAPP(c_List_Oset(tc_prod(_u18134, _u18134)), hAPP(hAPP(c_List_Ozip(_u18134, _u18134), _u18136), _u18138)))) )).
% 27.71/27.96 cnf(matrix-7350, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18134), tc_List_Olist(_u18134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18134), tc_List_Olist(_u18134)), _u18136), _u18138)), c_List_Olistrel(_u18134, _u18140))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18134)), _u18136) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18134)), _u18138)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18134, _u18134, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u18134, tc_fun(tc_prod(_u18134, _u18134), tc_HOL_Obool), tc_fun(_u18134, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18134, tc_fun(tc_fun(tc_prod(_u18134, _u18134), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18134, _u18134), tc_HOL_Obool), tc_fun(_u18134, tc_HOL_Obool)), _u18134), c_COMBC(_u18134, tc_fun(tc_prod(_u18134, _u18134), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18134, tc_prod(_u18134, _u18134)), tc_fun(_u18134, tc_fun(tc_fun(tc_prod(_u18134, _u18134), tc_HOL_Obool), tc_HOL_Obool)), _u18134), hAPP(c_COMBB(tc_prod(_u18134, _u18134), tc_fun(tc_fun(tc_prod(_u18134, _u18134), tc_HOL_Obool), tc_HOL_Obool), _u18134), c_member(tc_prod(_u18134, _u18134)))), c_Product__Type_OPair(_u18134, _u18134)))), _u18140)), skolem454(_u18140, _u18138, _u18136, _u18134))) )).
% 27.71/27.96 cnf(matrix-7351, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18141), tc_List_Olist(_u18141))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18141), tc_List_Olist(_u18141)), _u18142), _u18142)), c_List_Olistrel(_u18141, c_Transitive__Closure_Ortrancl(_u18141, _u18143)))) )).
% 27.71/27.96 cnf(matrix-7352, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18144), tc_List_Olist(_u18144))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18144), tc_List_Olist(_u18144)), _u18145), _u18146)), c_List_Olistrel(_u18144, _u18147))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18144)), _u18145) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18144)), _u18146)) )).
% 27.71/27.96 cnf(matrix-7353, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18148), tc_List_Olist(_u18148))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18148), tc_List_Olist(_u18148)), _u18149), _u18150)), c_List_Olistrel(_u18148, c_Transitive__Closure_Ortrancl(_u18148, _u18151)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18148), tc_List_Olist(_u18148))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18148), tc_List_Olist(_u18148)), _u18150), _u18152)), c_List_Olistrel(_u18148, c_Transitive__Closure_Ortrancl(_u18148, _u18151)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18148), tc_List_Olist(_u18148))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18148), tc_List_Olist(_u18148)), _u18149), _u18152)), c_List_Olistrel(_u18148, c_Transitive__Closure_Ortrancl(_u18148, _u18151)))) )).
% 27.71/27.96 cnf(matrix-7354, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18153, _u18153), tc_HOL_Obool)), _u18154), _u18155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u18153), tc_List_Olist(_u18153)), tc_HOL_Obool)), c_List_Olistrel(_u18153, _u18154)), c_List_Olistrel(_u18153, _u18155))) )).
% 27.71/27.96 cnf(matrix-7355, plain, ( ~c_List_Olistrelp(_u18160, hAPP(hAPP(c_COMBC(_u18160, tc_fun(tc_prod(_u18160, _u18160), tc_HOL_Obool), tc_fun(_u18160, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18160, tc_fun(tc_fun(tc_prod(_u18160, _u18160), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18160, _u18160), tc_HOL_Obool), tc_fun(_u18160, tc_HOL_Obool)), _u18160), c_COMBC(_u18160, tc_fun(tc_prod(_u18160, _u18160), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18160, tc_prod(_u18160, _u18160)), tc_fun(_u18160, tc_fun(tc_fun(tc_prod(_u18160, _u18160), tc_HOL_Obool), tc_HOL_Obool)), _u18160), hAPP(c_COMBB(tc_prod(_u18160, _u18160), tc_fun(tc_fun(tc_prod(_u18160, _u18160), tc_HOL_Obool), tc_HOL_Obool), _u18160), c_member(tc_prod(_u18160, _u18160)))), c_Product__Type_OPair(_u18160, _u18160)))), _u18162), _u18164, _u18166) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18160), tc_List_Olist(_u18160))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18160), tc_List_Olist(_u18160)), _u18164), _u18166)), c_List_Olistrel(_u18160, _u18162))) )).
% 27.71/27.96 cnf(matrix-7356, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18161), tc_List_Olist(_u18161))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18161), tc_List_Olist(_u18161)), _u18165), _u18167)), c_List_Olistrel(_u18161, _u18163))) | c_List_Olistrelp(_u18161, hAPP(hAPP(c_COMBC(_u18161, tc_fun(tc_prod(_u18161, _u18161), tc_HOL_Obool), tc_fun(_u18161, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18161, tc_fun(tc_fun(tc_prod(_u18161, _u18161), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18161, _u18161), tc_HOL_Obool), tc_fun(_u18161, tc_HOL_Obool)), _u18161), c_COMBC(_u18161, tc_fun(tc_prod(_u18161, _u18161), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18161, tc_prod(_u18161, _u18161)), tc_fun(_u18161, tc_fun(tc_fun(tc_prod(_u18161, _u18161), tc_HOL_Obool), tc_HOL_Obool)), _u18161), hAPP(c_COMBB(tc_prod(_u18161, _u18161), tc_fun(tc_fun(tc_prod(_u18161, _u18161), tc_HOL_Obool), tc_HOL_Obool), _u18161), c_member(tc_prod(_u18161, _u18161)))), c_Product__Type_OPair(_u18161, _u18161)))), _u18163), _u18165, _u18167) )).
% 27.71/27.96 cnf(matrix-7357, plain, ( ( hAPP(c_List_Olexn(_u18168, _u18169), hAPP(c_Nat_OSuc, _u18170)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u18168), tc_List_Olist(_u18168)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u18168, tc_List_Olist(_u18168)), tc_prod(_u18168, tc_List_Olist(_u18168))), tc_prod(tc_List_Olist(_u18168), tc_List_Olist(_u18168)), c_Product__Type_Omap__pair(tc_prod(_u18168, tc_List_Olist(_u18168)), tc_List_Olist(_u18168), tc_prod(_u18168, tc_List_Olist(_u18168)), tc_List_Olist(_u18168), hAPP(c_Product__Type_Oprod_Oprod__case(_u18168, tc_List_Olist(_u18168), tc_List_Olist(_u18168)), c_List_Olist_OCons(_u18168)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18168, tc_List_Olist(_u18168), tc_List_Olist(_u18168)), c_List_Olist_OCons(_u18168)))), c_Wellfounded_Olex__prod(_u18168, tc_List_Olist(_u18168), _u18169, hAPP(c_List_Olexn(_u18168, _u18169), _u18170)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u18168), tc_List_Olist(_u18168))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18168), tc_List_Olist(_u18168), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18168), tc_fun(tc_List_Olist(_u18168), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18168), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18168), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18168), tc_HOL_Obool)), tc_List_Olist(_u18168)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18168))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18168)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18168), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18168)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18168)))), hAPP(c_Nat_OSuc, _u18170))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18168), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18168)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18168)))), hAPP(c_Nat_OSuc, _u18170))))))) )).
% 27.71/27.96 cnf(matrix-7358, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18171)), _u18172)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18171)), _u18173))) | ( _u18172 != hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18174), _u18173)) )).
% 27.71/27.96 cnf(matrix-7359, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18175), _u18176), hAPP(c_List_Oset(_u18175), hAPP(hAPP(c_List_Olist_OCons(_u18175), _u18177), _u18178)))) | ( _u18176 = _u18177) | hBOOL(hAPP(hAPP(c_member(_u18175), _u18176), hAPP(c_List_Oset(_u18175), _u18178))) )).
% 27.71/27.96 cnf(matrix-7360, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18179, _u18180), hAPP(hAPP(c_List_Olist_OCons(_u18179), _u18181), _u18182)), hAPP(hAPP(c_List_Olist_OCons(_u18180), _u18183), _u18184)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18179, _u18180)), hAPP(hAPP(c_Product__Type_OPair(_u18179, _u18180), _u18181), _u18183)), hAPP(hAPP(c_List_Ozip(_u18179, _u18180), _u18182), _u18184))) )).
% 27.71/27.96 cnf(matrix-7361, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18185, tc_HOL_Obool)), hAPP(c_List_Oset(_u18185), _u18186)), hAPP(c_List_Oset(_u18185), hAPP(hAPP(c_List_Olist_OCons(_u18185), _u18187), _u18186)))) )).
% 27.71/27.96 cnf(matrix-7362, plain, ( ( hAPP(c_List_Oset(_u18188), hAPP(hAPP(c_List_Olist_OCons(_u18188), _u18189), _u18190)) = hAPP(hAPP(c_Set_Oinsert(_u18188), _u18189), hAPP(c_List_Oset(_u18188), _u18190))) )).
% 27.71/27.96 cnf(matrix-7363, plain, ( ( c_List_Ofoldr(_u18191, _u18192, _u18193, hAPP(hAPP(c_List_Olist_OCons(_u18191), _u18194), _u18195), _u18196) = hAPP(hAPP(_u18193, _u18194), c_List_Ofoldr(_u18191, _u18192, _u18193, _u18195, _u18196))) )).
% 27.71/27.96 cnf(matrix-7364, plain, ( ~hBOOL(hAPP(hAPP(_u18197, _u18198), _u18199)) | ~c_List_Olistrelp(_u18200, _u18197, _u18201, _u18202) | c_List_Olistrelp(_u18200, _u18197, hAPP(hAPP(c_List_Olist_OCons(_u18200), _u18198), _u18201), hAPP(hAPP(c_List_Olist_OCons(_u18200), _u18199), _u18202)) )).
% 27.71/27.96 cnf(matrix-7365, plain, ( ~c_List_Olistrelp(_u18209, _u18211, hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18213), _u18215), hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18217), _u18219)) | hBOOL(hAPP(hAPP(_u18211, _u18213), _u18217)) )).
% 27.71/27.96 cnf(matrix-7366, plain, ( ~c_List_Olistrelp(_u18209, _u18211, hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18213), _u18215), hAPP(hAPP(c_List_Olist_OCons(_u18209), _u18217), _u18219)) | c_List_Olistrelp(_u18209, _u18211, _u18215, _u18219) )).
% 27.71/27.96 cnf(matrix-7367, plain, ( ~hBOOL(hAPP(hAPP(_u18212, _u18214), _u18218)) | ~c_List_Olistrelp(_u18210, _u18212, _u18216, _u18220) | c_List_Olistrelp(_u18210, _u18212, hAPP(hAPP(c_List_Olist_OCons(_u18210), _u18214), _u18216), hAPP(hAPP(c_List_Olist_OCons(_u18210), _u18218), _u18220)) )).
% 27.71/27.96 cnf(matrix-7368, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18226), _u18228), _u18230) != hAPP(hAPP(c_List_Olist_OCons(_u18226), _u18232), _u18234)) | ( _u18228 = _u18232) )).
% 27.71/27.96 cnf(matrix-7369, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18226), _u18228), _u18230) != hAPP(hAPP(c_List_Olist_OCons(_u18226), _u18232), _u18234)) | ( _u18230 = _u18234) )).
% 27.71/27.96 cnf(matrix-7370, plain, ( ( _u18229 != _u18233) | ( _u18231 != _u18235) | ( hAPP(hAPP(c_List_Olist_OCons(_u18227), _u18229), _u18231) = hAPP(hAPP(c_List_Olist_OCons(_u18227), _u18233), _u18235)) )).
% 27.71/27.96 cnf(matrix-7371, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18236), _u18237), _u18238) != _u18238) )).
% 27.71/27.96 cnf(matrix-7372, plain, ( ( _u18239 != hAPP(hAPP(c_List_Olist_OCons(_u18240), _u18241), _u18239)) )).
% 27.71/27.96 cnf(matrix-7373, plain, ( ( hAPP(hAPP(c_List_Omap(_u18242, _u18243), _u18244), hAPP(hAPP(c_List_Olist_OCons(_u18242), _u18245), _u18246)) = hAPP(hAPP(c_List_Olist_OCons(_u18243), hAPP(_u18244, _u18245)), hAPP(hAPP(c_List_Omap(_u18242, _u18243), _u18244), _u18246))) )).
% 27.71/27.96 cnf(matrix-7374, plain, ( ( _u18251 != _u18253) | ( c_List_Oremove1(_u18255, _u18251, hAPP(hAPP(c_List_Olist_OCons(_u18255), _u18253), _u18257)) = _u18257) )).
% 27.71/27.96 cnf(matrix-7375, plain, ( ( _u18252 = _u18254) | ( c_List_Oremove1(_u18256, _u18252, hAPP(hAPP(c_List_Olist_OCons(_u18256), _u18254), _u18258)) = hAPP(hAPP(c_List_Olist_OCons(_u18256), _u18254), c_List_Oremove1(_u18256, _u18252, _u18258))) )).
% 27.71/27.96 cnf(matrix-7376, plain, ( ~class_Orderings_Olinorder(_u18259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18259), hAPP(_u18260, _u18261)), hAPP(_u18260, _u18262))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18263, _u18259, _u18260), _u18261), hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18262), _u18264)) = hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18261), hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18262), _u18264))) )).
% 27.71/27.96 cnf(matrix-7377, plain, ( ~class_Orderings_Olinorder(_u18259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18259), hAPP(_u18260, _u18261)), hAPP(_u18260, _u18262))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18263, _u18259, _u18260), _u18261), hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18262), _u18264)) = hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18262), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18263, _u18259, _u18260), _u18261), _u18264))) )).
% 27.71/27.96 cnf(matrix-7378, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18268), hAPP(hAPP(c_List_Olist_OCons(_u18268), _u18270), _u18272))) | ~hBOOL(hAPP(hAPP(c_member(_u18268), _u18270), hAPP(c_List_Oset(_u18268), _u18272))) )).
% 27.71/27.96 cnf(matrix-7379, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18268), hAPP(hAPP(c_List_Olist_OCons(_u18268), _u18270), _u18272))) | hBOOL(hAPP(c_List_Odistinct(_u18268), _u18272)) )).
% 27.71/27.96 cnf(matrix-7380, plain, ( hBOOL(hAPP(hAPP(c_member(_u18269), _u18271), hAPP(c_List_Oset(_u18269), _u18273))) | ~hBOOL(hAPP(c_List_Odistinct(_u18269), _u18273)) | hBOOL(hAPP(c_List_Odistinct(_u18269), hAPP(hAPP(c_List_Olist_OCons(_u18269), _u18271), _u18273))) )).
% 27.71/27.96 cnf(matrix-7381, plain, ( ( _u18280 != _u18282) | ( hAPP(c_Map_Omap__of(_u18284, _u18286, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18284, _u18286)), hAPP(hAPP(c_Product__Type_OPair(_u18284, _u18286), _u18280), _u18288)), _u18290)), _u18282) = hAPP(c_Option_Ooption_OSome(_u18286), _u18288)) )).
% 27.71/27.96 cnf(matrix-7382, plain, ( ( _u18281 = _u18283) | ( hAPP(c_Map_Omap__of(_u18285, _u18287, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18285, _u18287)), hAPP(hAPP(c_Product__Type_OPair(_u18285, _u18287), _u18281), _u18289)), _u18291)), _u18283) = hAPP(c_Map_Omap__of(_u18285, _u18287, _u18291), _u18283)) )).
% 27.71/27.96 cnf(matrix-7383, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18292)), hAPP(hAPP(c_List_Olist_OCons(_u18292), _u18293), _u18294)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18292)), _u18294)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.71/27.96 cnf(matrix-7384, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18295, _u18295)), hAPP(hAPP(c_Product__Type_OPair(_u18295, _u18295), _u18296), _u18297)), _u18298)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18295), tc_List_Olist(_u18295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18295), tc_List_Olist(_u18295)), _u18299), _u18300)), c_List_Olistrel(_u18295, _u18298))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18295), tc_List_Olist(_u18295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18295), tc_List_Olist(_u18295)), hAPP(hAPP(c_List_Olist_OCons(_u18295), _u18296), _u18299)), hAPP(hAPP(c_List_Olist_OCons(_u18295), _u18297), _u18300))), c_List_Olistrel(_u18295, _u18298))) )).
% 27.71/27.96 cnf(matrix-7385, plain, ( ( c_Map_Omap__of(_u18301, _u18302, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u18301, _u18302)), _u18303), _u18304)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18301, tc_Option_Ooption(_u18302)), c_Map_Omap__of(_u18301, _u18302, _u18304)), hAPP(c_Product__Type_Ofst(_u18301, _u18302), _u18303)), hAPP(c_Option_Ooption_OSome(_u18302), hAPP(c_Product__Type_Osnd(_u18301, _u18302), _u18303)))) )).
% 27.71/27.96 cnf(matrix-7386, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18313), _u18315)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18317), _u18319))), c_List_Olex(_u18311, _u18321))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18311, _u18311)), hAPP(hAPP(c_Product__Type_OPair(_u18311, _u18311), _u18313), _u18317)), _u18321)) | ( _u18313 = _u18317) )).
% 27.71/27.96 cnf(matrix-7387, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18313), _u18315)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18317), _u18319))), c_List_Olex(_u18311, _u18321))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18311, _u18311)), hAPP(hAPP(c_Product__Type_OPair(_u18311, _u18311), _u18313), _u18317)), _u18321)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), _u18315), _u18319)), c_List_Olex(_u18311, _u18321))) )).
% 27.71/27.96 cnf(matrix-7388, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18313), _u18315)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18317), _u18319))), c_List_Olex(_u18311, _u18321))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18315) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18319)) | ( _u18313 = _u18317) )).
% 27.71/27.96 cnf(matrix-7389, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18313), _u18315)), hAPP(hAPP(c_List_Olist_OCons(_u18311), _u18317), _u18319))), c_List_Olex(_u18311, _u18321))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18315) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18319)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), _u18315), _u18319)), c_List_Olex(_u18311, _u18321))) )).
% 27.71/27.96 cnf(matrix-7390, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18312), tc_List_Olist(_u18312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18312), tc_List_Olist(_u18312)), hAPP(hAPP(c_List_Olist_OCons(_u18312), _u18314), _u18316)), hAPP(hAPP(c_List_Olist_OCons(_u18312), _u18318), _u18320))), c_List_Olex(_u18312, _u18322))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18312, _u18312)), hAPP(hAPP(c_Product__Type_OPair(_u18312, _u18312), _u18314), _u18318)), _u18322)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18316) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18320)) )).
% 27.71/27.96 cnf(matrix-7391, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18312), tc_List_Olist(_u18312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18312), tc_List_Olist(_u18312)), hAPP(hAPP(c_List_Olist_OCons(_u18312), _u18314), _u18316)), hAPP(hAPP(c_List_Olist_OCons(_u18312), _u18318), _u18320))), c_List_Olex(_u18312, _u18322))) | ( _u18314 != _u18318) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18312), tc_List_Olist(_u18312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18312), tc_List_Olist(_u18312)), _u18316), _u18320)), c_List_Olex(_u18312, _u18322))) )).
% 27.71/27.96 cnf(matrix-7392, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u18323), tc_List_Olist(_u18323), c_List_Olistrel(_u18323, _u18324)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18323)), hAPP(hAPP(c_List_Olist_OCons(_u18323), _u18325), _u18326)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18323), tc_HOL_Obool)))) = c_List_Oset__Cons(_u18323, hAPP(c_Relation_OImage(_u18323, _u18323, _u18324), hAPP(hAPP(c_Set_Oinsert(_u18323), _u18325), c_Orderings_Obot__class_Obot(tc_fun(_u18323, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u18323), tc_List_Olist(_u18323), c_List_Olistrel(_u18323, _u18324)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18323)), _u18326), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18323), tc_HOL_Obool)))))) )).
% 27.71/27.96 cnf(matrix-7393, plain, ( ( c_List_Oset__Cons(_u18327, _u18328, _u18329) = hAPP(c_Set_OCollect(tc_List_Olist(_u18327)), hAPP(hAPP(c_COMBB(tc_fun(_u18327, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u18327)), c_HOL_OEx(_u18327)), hAPP(hAPP(c_COMBB(tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), tc_fun(_u18327, tc_HOL_Obool), tc_List_Olist(_u18327)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_HOL_Obool, _u18327), c_HOL_OEx(tc_List_Olist(_u18327)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18327), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18327, tc_fun(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), tc_fun(tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), tc_List_Olist(_u18327)), c_COMBS(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u18327, tc_fun(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), tc_List_Olist(_u18327)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18327), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), _u18327), c_COMBS(tc_List_Olist(_u18327), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u18327)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u18327), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18327)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18327), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_List_Olist(_u18327))), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u18327), tc_List_Olist(_u18327)), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), tc_fun(tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_List_Olist(_u18327))), tc_fun(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool))), tc_List_Olist(_u18327)), c_COMBB(tc_fun(tc_List_Olist(_u18327), tc_List_Olist(_u18327)), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), _u18327)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18327), tc_List_Olist(_u18327)), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), tc_List_Olist(_u18327)), c_COMBB(tc_List_Olist(_u18327), tc_HOL_Obool, tc_List_Olist(_u18327))), c_fequal))), c_List_Olist_OCons(_u18327)))))), hAPP(hAPP(c_COMBC(_u18327, tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool)), _u18327), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18327))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18327), c_fconj), hAPP(hAPP(c_COMBC(_u18327, tc_fun(_u18327, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18327)), _u18328)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18327), tc_fun(tc_List_Olist(_u18327), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u18327))), _u18329))))))) )).
% 27.71/27.96 cnf(matrix-7394, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18332), tc_List_Olist(_u18332))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18332), tc_List_Olist(_u18332)), hAPP(hAPP(c_List_Olist_OCons(_u18332), _u18333), _u18334)), _u18335)), c_List_Olistrel(_u18332, _u18336))) | ( _u18335 = hAPP(hAPP(c_List_Olist_OCons(_u18332), skolem455(_u18336, _u18335, _u18334, _u18333, _u18332)), skolem456(_u18336, _u18335, _u18334, _u18333, _u18332))) )).
% 27.71/27.96 cnf(matrix-7395, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18332), tc_List_Olist(_u18332))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18332), tc_List_Olist(_u18332)), hAPP(hAPP(c_List_Olist_OCons(_u18332), _u18333), _u18334)), _u18335)), c_List_Olistrel(_u18332, _u18336))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18332, _u18332)), hAPP(hAPP(c_Product__Type_OPair(_u18332, _u18332), _u18333), skolem455(_u18336, _u18335, _u18334, _u18333, _u18332))), _u18336)) )).
% 27.71/27.96 cnf(matrix-7396, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18332), tc_List_Olist(_u18332))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18332), tc_List_Olist(_u18332)), hAPP(hAPP(c_List_Olist_OCons(_u18332), _u18333), _u18334)), _u18335)), c_List_Olistrel(_u18332, _u18336))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18332), tc_List_Olist(_u18332))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18332), tc_List_Olist(_u18332)), _u18334), skolem456(_u18336, _u18335, _u18334, _u18333, _u18332))), c_List_Olistrel(_u18332, _u18336))) )).
% 27.71/27.96 cnf(matrix-7397, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18339), tc_List_Olist(_u18339))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18339), tc_List_Olist(_u18339)), _u18340), hAPP(hAPP(c_List_Olist_OCons(_u18339), _u18341), _u18342))), c_List_Olistrel(_u18339, _u18343))) | ( _u18340 = hAPP(hAPP(c_List_Olist_OCons(_u18339), skolem457(_u18343, _u18342, _u18341, _u18340, _u18339)), skolem458(_u18343, _u18342, _u18341, _u18340, _u18339))) )).
% 27.71/27.96 cnf(matrix-7398, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18339), tc_List_Olist(_u18339))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18339), tc_List_Olist(_u18339)), _u18340), hAPP(hAPP(c_List_Olist_OCons(_u18339), _u18341), _u18342))), c_List_Olistrel(_u18339, _u18343))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18339, _u18339)), hAPP(hAPP(c_Product__Type_OPair(_u18339, _u18339), skolem457(_u18343, _u18342, _u18341, _u18340, _u18339)), _u18341)), _u18343)) )).
% 27.71/27.96 cnf(matrix-7399, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18339), tc_List_Olist(_u18339))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18339), tc_List_Olist(_u18339)), _u18340), hAPP(hAPP(c_List_Olist_OCons(_u18339), _u18341), _u18342))), c_List_Olistrel(_u18339, _u18343))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18339), tc_List_Olist(_u18339))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18339), tc_List_Olist(_u18339)), skolem458(_u18343, _u18342, _u18341, _u18340, _u18339)), _u18342)), c_List_Olistrel(_u18339, _u18343))) )).
% 27.71/27.96 cnf(matrix-7400, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18344)), c_List_Osublist(_u18344, _u18345, _u18346)) = 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(_u18344)), _u18345)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u18346))))) )).
% 27.71/27.96 cnf(matrix-7401, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18351), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18353), _u18355))) | ( hAPP(c_Random_Opick(_u18353, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18353)), _u18355), _u18357)), _u18351) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18353), _u18355)) )).
% 27.71/27.96 cnf(matrix-7402, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18352), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18354), _u18356))) | ( hAPP(c_Random_Opick(_u18354, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18354)), _u18356), _u18358)), _u18352) = hAPP(c_Random_Opick(_u18354, _u18358), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18352), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18354), _u18356)))) )).
% 27.71/27.96 cnf(matrix-7403, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18359), _u18360)) | hBOOL(hAPP(c_List_Odistinct(_u18359), c_List_Osublist(_u18359, _u18360, _u18361))) )).
% 27.71/27.96 cnf(matrix-7404, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18362), _u18363), hAPP(c_List_Oset(_u18362), c_List_Osublist(_u18362, _u18364, _u18365)))) | hBOOL(hAPP(hAPP(c_member(_u18362), _u18363), hAPP(c_List_Oset(_u18362), _u18364))) )).
% 27.71/27.96 cnf(matrix-7405, plain, ( hBOOL(hAPP(hAPP(c_member(_u18366), _u18367), hAPP(c_List_Oset(_u18366), _u18368))) | ~hBOOL(hAPP(hAPP(c_member(_u18366), _u18367), hAPP(c_List_Oset(_u18366), c_List_Osublist(_u18366, _u18368, _u18369)))) )).
% 27.71/27.96 cnf(matrix-7406, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18370, tc_HOL_Obool)), hAPP(c_List_Oset(_u18370), c_List_Osublist(_u18370, _u18371, _u18372))), hAPP(c_List_Oset(_u18370), _u18371))) )).
% 27.71/27.96 cnf(matrix-7407, plain, ( ( c_Random_Oselect__weight(_u18373, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18373)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18373), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u18374)), _u18375)) = c_Random_Oselect__weight(_u18373, _u18375)) )).
% 27.71/27.96 cnf(matrix-7408, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18376), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18377), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18377)), _u18378)))) | hBOOL(hAPP(hAPP(c_member(_u18377), hAPP(c_Random_Opick(_u18377, _u18378), _u18376)), hAPP(c_List_Oset(_u18377), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18377), _u18377), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18377)), _u18378)))) )).
% 27.71/27.96 cnf(matrix-7409, plain, ( ~class_Groups_Omonoid__add(_u18379) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18379), hAPP(hAPP(c_List_Olist_OCons(_u18379), _u18380), _u18381)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18379), _u18380), hAPP(c_List_Omonoid__add__class_Olistsum(_u18379), _u18381))) )).
% 27.71/27.96 cnf(matrix-7410, plain, ( ~class_Groups_Oab__group__add(_u18382) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18382), hAPP(hAPP(c_List_Omap(_u18383, _u18382), hAPP(hAPP(c_COMBS(_u18383, _u18382, _u18382), hAPP(hAPP(c_COMBB(_u18382, tc_fun(_u18382, _u18382), _u18383), c_Groups_Ominus__class_Ominus(_u18382)), _u18384)), _u18385)), _u18386)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u18382), hAPP(c_List_Omonoid__add__class_Olistsum(_u18382), hAPP(hAPP(c_List_Omap(_u18383, _u18382), _u18384), _u18386))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18382), hAPP(hAPP(c_List_Omap(_u18383, _u18382), _u18385), _u18386)))) )).
% 27.71/27.96 cnf(matrix-7411, plain, ( ~class_Rings_Osemiring__0(_u18387) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18387), hAPP(hAPP(c_List_Omap(_u18388, _u18387), hAPP(hAPP(c_COMBB(_u18387, _u18387, _u18388), hAPP(c_Groups_Otimes__class_Otimes(_u18387), _u18389)), _u18390)), _u18391)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18387), _u18389), hAPP(c_List_Omonoid__add__class_Olistsum(_u18387), hAPP(hAPP(c_List_Omap(_u18388, _u18387), _u18390), _u18391)))) )).
% 27.71/27.96 cnf(matrix-7412, plain, ( ~class_Rings_Osemiring__0(_u18392) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18392), hAPP(hAPP(c_List_Omap(_u18393, _u18392), hAPP(hAPP(c_COMBC(_u18393, _u18392, _u18392), hAPP(hAPP(c_COMBB(_u18392, tc_fun(_u18392, _u18392), _u18393), c_Groups_Otimes__class_Otimes(_u18392)), _u18394)), _u18395)), _u18396)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18392), hAPP(c_List_Omonoid__add__class_Olistsum(_u18392), hAPP(hAPP(c_List_Omap(_u18393, _u18392), _u18394), _u18396))), _u18395)) )).
% 27.71/27.96 cnf(matrix-7413, plain, ( ~class_Groups_Ocomm__monoid__add(_u18397) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18397), hAPP(hAPP(c_List_Omap(_u18398, _u18397), hAPP(hAPP(c_COMBS(_u18398, _u18397, _u18397), hAPP(hAPP(c_COMBB(_u18397, tc_fun(_u18397, _u18397), _u18398), c_Groups_Oplus__class_Oplus(_u18397)), _u18399)), _u18400)), _u18401)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18397), hAPP(c_List_Omonoid__add__class_Olistsum(_u18397), hAPP(hAPP(c_List_Omap(_u18398, _u18397), _u18399), _u18401))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18397), hAPP(hAPP(c_List_Omap(_u18398, _u18397), _u18400), _u18401)))) )).
% 27.71/27.96 cnf(matrix-7414, plain, ( ~class_Groups_Omonoid__add(_u18402) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18402), hAPP(hAPP(c_List_Omap(_u18403, _u18402), hAPP(c_COMBK(_u18402, _u18403), c_Groups_Ozero__class_Ozero(_u18402))), _u18404)) = c_Groups_Ozero__class_Ozero(_u18402)) )).
% 27.71/27.96 cnf(matrix-7415, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u18405) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18405), hAPP(c_Groups_Oabs__class_Oabs(_u18405), hAPP(c_List_Omonoid__add__class_Olistsum(_u18405), _u18406))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18405), hAPP(hAPP(c_List_Omap(_u18405, _u18405), c_Groups_Oabs__class_Oabs(_u18405)), _u18406)))) )).
% 27.71/27.96 cnf(matrix-7416, plain, ( ~class_Groups_Oab__group__add(_u18407) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u18407), hAPP(c_List_Omonoid__add__class_Olistsum(_u18407), hAPP(hAPP(c_List_Omap(_u18408, _u18407), _u18409), _u18410))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18407), hAPP(hAPP(c_List_Omap(_u18408, _u18407), hAPP(c_Fun_Ocomp(_u18407, _u18407, _u18408, c_Groups_Ouminus__class_Ouminus(_u18407)), _u18409)), _u18410))) )).
% 27.71/27.96 cnf(matrix-7417, plain, ( ~class_Groups_Ocomm__monoid__add(_u18411) | ~hBOOL(hAPP(c_List_Odistinct(_u18411), _u18412)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18411), _u18412) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18411, _u18411), c_COMBI(_u18411)), hAPP(c_List_Oset(_u18411), _u18412))) )).
% 27.71/27.96 cnf(matrix-7418, plain, ( ( c_Random_Oselect__weight(_u18413, _u18414) = 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(_u18413, 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, _u18413), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18413)), _u18414)))), hAPP(hAPP(c_COMBB(_u18413, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u18413, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u18413, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u18413, _u18414)))) )).
% 27.71/27.96 cnf(matrix-7419, plain, ( ~class_Groups_Ocomm__monoid__add(_u18415) | ~hBOOL(hAPP(c_List_Odistinct(_u18416), _u18417)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18415), hAPP(hAPP(c_List_Omap(_u18416, _u18415), _u18418), _u18417)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18416, _u18415), _u18418), hAPP(c_List_Oset(_u18416), _u18417))) )).
% 27.71/27.96 cnf(matrix-7420, plain, ( ~class_Groups_Ocomm__monoid__add(_u18419) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u18419), _u18420), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u18421, _u18422))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18419), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u18419), _u18420), c_List_Oupto(_u18421, _u18422)))) )).
% 27.71/27.96 cnf(matrix-7421, plain, ( ~class_Groups_Ocomm__monoid__add(_u18423) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18423), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u18423), _u18424), c_List_Oupto(_u18425, _u18426))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u18423), _u18424), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u18425, _u18426)))) )).
% 27.71/27.96 cnf(matrix-7422, plain, ( ~class_Rings_Osemiring__1(_u18427) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18427), hAPP(hAPP(c_List_Omap(_u18428, _u18427), hAPP(c_COMBK(_u18427, _u18428), _u18429)), _u18430)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18427), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u18427), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18428)), _u18430))), _u18429)) )).
% 27.71/27.96 cnf(matrix-7423, plain, ( ~class_Groups_Ocomm__monoid__add(_u18431) | ~hBOOL(hAPP(hAPP(c_member(_u18432), _u18433), hAPP(c_List_Oset(_u18432), _u18434))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18431), hAPP(hAPP(c_List_Omap(_u18432, _u18431), _u18435), _u18434)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18431), hAPP(_u18435, _u18433)), hAPP(c_List_Omonoid__add__class_Olistsum(_u18431), hAPP(hAPP(c_List_Omap(_u18432, _u18431), _u18435), c_List_Oremove1(_u18432, _u18433, _u18434))))) )).
% 27.71/27.96 cnf(matrix-7424, 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, _u18436), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18436)), _u18437)))) | hBOOL(hAPP(hAPP(c_member(_u18436), hAPP(c_Product__Type_Ofst(_u18436, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u18436, _u18437), _u18438))), hAPP(c_List_Oset(_u18436), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18436), _u18436), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18436)), _u18437)))) )).
% 27.71/27.96 cnf(matrix-7425, plain, ( ~class_Groups_Ocomm__monoid__add(_u18439) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18440), _u18441)) | ( c_Nitpick_Osetsum_H(_u18440, _u18439, _u18442, _u18441) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18439), hAPP(hAPP(c_List_Omap(_u18440, _u18439), _u18442), c_Hilbert__Choice_OEps(tc_List_Olist(_u18440), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18440), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18440)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18440), tc_fun(_u18440, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18440, tc_HOL_Obool), tc_fun(tc_fun(_u18440, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18440)), c_fequal), c_List_Oset(_u18440))), _u18441))), c_List_Odistinct(_u18440)))))) )).
% 27.71/27.96 cnf(matrix-7426, plain, ( ~class_Groups_Ocomm__monoid__add(_u18439) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18440), _u18441)) | ( c_Nitpick_Osetsum_H(_u18440, _u18439, _u18442, _u18441) = c_Groups_Ozero__class_Ozero(_u18439)) )).
% 27.71/27.96 cnf(matrix-7427, 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), _u18443), _u18444))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18443), _u18444)) | ( c_List_Oupto(_u18443, _u18444) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u18443), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u18443), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u18444))) )).
% 27.71/27.96 cnf(matrix-7428, 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), _u18443), _u18444))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18443), _u18444)) | ( c_List_Oupto(_u18443, _u18444) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 27.71/27.96 cnf(matrix-7429, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18445), tc_List_Olist(_u18445))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18445), tc_List_Olist(_u18445)), _u18446), c_List_Olist_ONil(_u18445))), c_List_Olistrel(_u18445, _u18447))) | ( _u18446 = c_List_Olist_ONil(_u18445)) )).
% 27.71/27.96 cnf(matrix-7430, 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_Olistrel(_u18448, _u18450))) | ( _u18449 = c_List_Olist_ONil(_u18448)) )).
% 27.71/27.96 cnf(matrix-7431, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18454) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u18451), hAPP(c_List_Oset(tc_Nat_Onat), _u18454))) | ( _u18451 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-7432, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18455) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem459(_u18455)), hAPP(c_List_Oset(tc_Nat_Onat), _u18455))) )).
% 27.71/27.96 cnf(matrix-7433, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18455) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem459(_u18455) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-7434, plain, ( ~class_Groups_Omonoid__add(_u18456) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18456), c_List_Olist_ONil(_u18456)) = c_Groups_Ozero__class_Ozero(_u18456)) )).
% 27.71/27.96 cnf(matrix-7435, plain, ( ( _u18467 = c_List_Olist_ONil(_u18463)) | ( c_List_Olist_ONil(_u18461) != hAPP(hAPP(c_List_Omap(_u18463, _u18461), _u18465), _u18467)) )).
% 27.71/27.96 cnf(matrix-7436, plain, ( ( _u18468 != c_List_Olist_ONil(_u18464)) | ( c_List_Olist_ONil(_u18462) = hAPP(hAPP(c_List_Omap(_u18464, _u18462), _u18466), _u18468)) )).
% 27.71/27.96 cnf(matrix-7437, plain, ( ( hAPP(hAPP(c_List_Omap(_u18469, _u18470), _u18471), c_List_Olist_ONil(_u18469)) = c_List_Olist_ONil(_u18470)) )).
% 27.71/27.96 cnf(matrix-7438, plain, ( ( hAPP(hAPP(c_List_Omap(_u18476, _u18478), _u18480), _u18482) != c_List_Olist_ONil(_u18478)) | ( _u18482 = c_List_Olist_ONil(_u18476)) )).
% 27.71/27.96 cnf(matrix-7439, plain, ( ( _u18483 != c_List_Olist_ONil(_u18477)) | ( hAPP(hAPP(c_List_Omap(_u18477, _u18479), _u18481), _u18483) = c_List_Olist_ONil(_u18479)) )).
% 27.71/27.96 cnf(matrix-7440, plain, ( c_List_Olistrelp(_u18484, _u18485, c_List_Olist_ONil(_u18484), c_List_Olist_ONil(_u18484)) )).
% 27.71/27.96 cnf(matrix-7441, plain, ( c_List_Olistrelp(_u18486, _u18487, c_List_Olist_ONil(_u18486), c_List_Olist_ONil(_u18486)) )).
% 27.71/27.96 cnf(matrix-7442, plain, ( ~class_Orderings_Olinorder(_u18488) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18489, _u18488, _u18490), _u18491), _u18492) != c_List_Olist_ONil(_u18489)) )).
% 27.71/27.96 cnf(matrix-7443, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18493), c_List_Olist_ONil(_u18493))) )).
% 27.71/27.96 cnf(matrix-7444, plain, ( ( c_List_Oremove1(_u18494, _u18495, c_List_Olist_ONil(_u18494)) = c_List_Olist_ONil(_u18494)) )).
% 27.71/27.96 cnf(matrix-7445, plain, ( ( c_List_Ofoldr(_u18496, _u18497, _u18498, c_List_Olist_ONil(_u18496), _u18499) = _u18499) )).
% 27.71/27.96 cnf(matrix-7446, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u18500), _u18501)) | ( c_List_Oupto(_u18501, _u18500) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 27.71/27.96 cnf(matrix-7447, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18502, _u18503), _u18504), c_List_Olist_ONil(_u18503)) = c_List_Olist_ONil(tc_prod(_u18502, _u18503))) )).
% 27.71/27.96 cnf(matrix-7448, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18505, _u18506), c_List_Olist_ONil(_u18505)), _u18507) = c_List_Olist_ONil(tc_prod(_u18505, _u18506))) )).
% 27.71/27.96 cnf(matrix-7449, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18510)), _u18512) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18512 = c_List_Olist_ONil(_u18510)) )).
% 27.71/27.96 cnf(matrix-7450, plain, ( ( _u18513 != c_List_Olist_ONil(_u18511)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18511)), _u18513) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-7451, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18514)), c_List_Olist_ONil(_u18514)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-7452, plain, ( ~class_Orderings_Olinorder(_u18515) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18515, c_Orderings_Obot__class_Obot(tc_fun(_u18515, tc_HOL_Obool))) = c_List_Olist_ONil(_u18515)) )).
% 27.71/27.96 cnf(matrix-7453, plain, ( ( hAPP(c_List_Oset(_u18516), c_List_Olist_ONil(_u18516)) = c_Orderings_Obot__class_Obot(tc_fun(_u18516, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7454, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u18519, tc_HOL_Obool)) != hAPP(c_List_Oset(_u18519), _u18521)) | ( _u18521 = c_List_Olist_ONil(_u18519)) )).
% 27.71/27.96 cnf(matrix-7455, plain, ( ( _u18522 != c_List_Olist_ONil(_u18520)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u18520, tc_HOL_Obool)) = hAPP(c_List_Oset(_u18520), _u18522)) )).
% 27.71/27.96 cnf(matrix-7456, plain, ( ( hAPP(c_List_Oset(_u18525), _u18527) != c_Orderings_Obot__class_Obot(tc_fun(_u18525, tc_HOL_Obool))) | ( _u18527 = c_List_Olist_ONil(_u18525)) )).
% 27.71/27.96 cnf(matrix-7457, plain, ( ( _u18528 != c_List_Olist_ONil(_u18526)) | ( hAPP(c_List_Oset(_u18526), _u18528) = c_Orderings_Obot__class_Obot(tc_fun(_u18526, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7458, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18529), _u18530), _u18531) != c_List_Olist_ONil(_u18529)) )).
% 27.71/27.96 cnf(matrix-7459, plain, ( ( c_List_Olist_ONil(_u18532) != hAPP(hAPP(c_List_Olist_OCons(_u18532), _u18533), _u18534)) )).
% 27.71/27.96 cnf(matrix-7460, plain, ( ~class_Orderings_Olinorder(_u18535) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18536, _u18535, _u18537), _u18538), c_List_Olist_ONil(_u18536)) = hAPP(hAPP(c_List_Olist_OCons(_u18536), _u18538), c_List_Olist_ONil(_u18536))) )).
% 27.71/27.96 cnf(matrix-7461, plain, ( ( c_List_Osublist(_u18539, _u18540, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u18539)) )).
% 27.71/27.96 cnf(matrix-7462, plain, ( ( c_List_Osublist(_u18541, c_List_Olist_ONil(_u18541), _u18542) = c_List_Olist_ONil(_u18541)) )).
% 27.71/27.96 cnf(matrix-7463, 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(_u18545)), _u18547))) | ( _u18547 != c_List_Olist_ONil(_u18545)) )).
% 27.71/27.96 cnf(matrix-7464, plain, ( ( _u18548 = c_List_Olist_ONil(_u18546)) | 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(_u18546)), _u18548))) )).
% 27.71/27.96 cnf(matrix-7465, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18549), tc_List_Olist(_u18549))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18549), tc_List_Olist(_u18549)), c_List_Olist_ONil(_u18549)), c_List_Olist_ONil(_u18549))), c_List_Olistrel(_u18549, _u18550))) )).
% 27.71/27.96 cnf(matrix-7466, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18551), tc_List_Olist(_u18551))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18551), tc_List_Olist(_u18551)), c_List_Olist_ONil(_u18551)), _u18552)), c_List_Olex(_u18551, _u18553))) )).
% 27.71/27.96 cnf(matrix-7467, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18554), tc_List_Olist(_u18554))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18554), tc_List_Olist(_u18554)), _u18555), c_List_Olist_ONil(_u18554))), c_List_Olex(_u18554, _u18556))) )).
% 27.71/27.96 cnf(matrix-7468, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18559), _u18561)) | ( c_List_Oupto(_u18559, _u18561) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u18559), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u18559), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u18561))) )).
% 27.71/27.96 cnf(matrix-7469, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18560), _u18562)) | ( c_List_Oupto(_u18560, _u18562) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 27.71/27.96 cnf(matrix-7470, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18566)) | ( c_List_Osublist(_u18568, hAPP(hAPP(c_List_Olist_OCons(_u18568), _u18570), c_List_Olist_ONil(_u18568)), _u18566) = hAPP(hAPP(c_List_Olist_OCons(_u18568), _u18570), c_List_Olist_ONil(_u18568))) )).
% 27.71/27.96 cnf(matrix-7471, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18567)) | ( c_List_Osublist(_u18569, hAPP(hAPP(c_List_Olist_OCons(_u18569), _u18571), c_List_Olist_ONil(_u18569)), _u18567) = c_List_Olist_ONil(_u18569)) )).
% 27.71/27.96 cnf(matrix-7472, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18574)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18576))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18574), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18576)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18574)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18574)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18576)))) )).
% 27.71/27.96 cnf(matrix-7473, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18575)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18577))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18575), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18577)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 27.71/27.96 cnf(matrix-7474, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u18578), tc_List_Olist(_u18578), c_List_Olistrel(_u18578, _u18579)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18578)), c_List_Olist_ONil(_u18578)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18578), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18578)), c_List_Olist_ONil(_u18578)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18578), tc_HOL_Obool)))) )).
% 27.71/27.96 cnf(matrix-7475, plain, ( ( c_List_Oset__Cons(_u18580, _u18581, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18580)), c_List_Olist_ONil(_u18580)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18580), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u18580, tc_List_Olist(_u18580), hAPP(hAPP(c_COMBC(_u18580, tc_List_Olist(_u18580), tc_List_Olist(_u18580)), c_List_Olist_OCons(_u18580)), c_List_Olist_ONil(_u18580))), _u18581)) )).
% 27.71/27.96 cnf(matrix-7476, plain, ( ( _u18582 = c_List_Olist_ONil(_u18583)) | ( c_Random_Oselect__weight(_u18583, hAPP(hAPP(c_List_Omap(_u18583, tc_prod(tc_Code__Numeral_Ocode__numeral, _u18583)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18583), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u18582)) = c_Random_Oselect(_u18583, _u18582)) )).
% 27.71/27.96 cnf(matrix-7477, plain, ( ( _u18584 = c_List_Olist_ONil(_u18585)) | hBOOL(hAPP(hAPP(c_member(_u18585), hAPP(c_Product__Type_Ofst(_u18585, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u18585, _u18584), _u18586))), hAPP(c_List_Oset(_u18585), _u18584))) )).
% 27.71/27.96 cnf(matrix-7478, plain, ( ( hAPP(c_Map_Omap__of(_u18587, _u18588, c_List_Olist_ONil(tc_prod(_u18587, _u18588))), _u18589) = c_Option_Ooption_ONone(_u18588)) )).
% 27.71/27.96 cnf(matrix-7479, plain, ( ( hAPP(c_Map_Omap__of(_u18590, _u18591, c_List_Olist_ONil(tc_prod(_u18590, _u18591))), _u18592) = c_Option_Ooption_ONone(_u18591)) )).
% 27.71/27.96 cnf(matrix-7480, plain, ( ( _u18598 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Lazy__Sequence_Oanamorph(_u18600, _u18602, _u18604, _u18598), _u18606) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18602), _u18600), c_List_Olist_ONil(_u18602)), _u18606)) )).
% 27.71/27.96 cnf(matrix-7481, plain, ( ( _u18599 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Lazy__Sequence_Oanamorph(_u18601, _u18603, _u18605, _u18599), _u18607) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u18603), _u18601), tc_prod(_u18603, _u18601), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18603), _u18601), c_List_Olist_ONil(_u18603)), _u18607), hAPP(c_Product__Type_Oprod_Oprod__case(_u18603, _u18601, tc_prod(tc_List_Olist(_u18603), _u18601)), hAPP(hAPP(c_COMBC(_u18603, tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601)), tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u18603), _u18601), tc_prod(tc_List_Olist(_u18603), _u18601)), tc_fun(tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601)), tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601))), _u18603), c_COMBB(tc_prod(tc_List_Olist(_u18603), _u18601), tc_prod(tc_List_Olist(_u18603), _u18601), _u18601)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18603), tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601))), tc_fun(tc_prod(tc_List_Olist(_u18603), _u18601), tc_prod(tc_List_Olist(_u18603), _u18601)), _u18603), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18603), _u18601, tc_prod(tc_List_Olist(_u18603), _u18601))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18603), tc_List_Olist(_u18603)), tc_fun(tc_List_Olist(_u18603), tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601))), _u18603), hAPP(c_COMBB(tc_List_Olist(_u18603), tc_fun(_u18601, tc_prod(tc_List_Olist(_u18603), _u18601)), tc_List_Olist(_u18603)), c_Product__Type_OPair(tc_List_Olist(_u18603), _u18601))), c_List_Olist_OCons(_u18603))))), c_Lazy__Sequence_Oanamorph(_u18601, _u18603, _u18605, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18599), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))), hAPP(_u18605, _u18607))) )).
% 27.71/27.96 cnf(matrix-7482, plain, ( ( c_List_Olistset(_u18608, c_List_Olist_ONil(tc_fun(_u18608, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18608)), c_List_Olist_ONil(_u18608)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18608), tc_HOL_Obool)))) )).
% 27.71/27.96 cnf(matrix-7483, plain, ( ( c_List_Olistset(_u18609, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18609, tc_HOL_Obool)), _u18610), _u18611)) = c_List_Oset__Cons(_u18609, _u18610, c_List_Olistset(_u18609, _u18611))) )).
% 27.71/27.96 cnf(matrix-7484, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18612, _u18613), hAPP(hAPP(c_List_Olist_OCons(_u18612), _u18614), _u18615)), _u18616) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u18612, _u18613)), _u18613, c_List_Olist_ONil(tc_prod(_u18612, _u18613)), hAPP(hAPP(c_COMBC(_u18613, tc_fun(tc_List_Olist(_u18613), tc_List_Olist(tc_prod(_u18612, _u18613))), tc_fun(tc_List_Olist(_u18613), tc_List_Olist(tc_prod(_u18612, _u18613)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u18612, _u18613)), tc_List_Olist(tc_prod(_u18612, _u18613))), tc_fun(tc_fun(tc_List_Olist(_u18613), tc_List_Olist(tc_prod(_u18612, _u18613))), tc_fun(tc_List_Olist(_u18613), tc_List_Olist(tc_prod(_u18612, _u18613)))), _u18613), c_COMBB(tc_List_Olist(tc_prod(_u18612, _u18613)), tc_List_Olist(tc_prod(_u18612, _u18613)), tc_List_Olist(_u18613))), hAPP(hAPP(c_COMBB(tc_prod(_u18612, _u18613), tc_fun(tc_List_Olist(tc_prod(_u18612, _u18613)), tc_List_Olist(tc_prod(_u18612, _u18613))), _u18613), c_List_Olist_OCons(tc_prod(_u18612, _u18613))), hAPP(c_Product__Type_OPair(_u18612, _u18613), _u18614)))), hAPP(c_List_Ozip(_u18612, _u18613), _u18615))), _u18616)) )).
% 27.71/27.96 cnf(matrix-7485, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18617, _u18618), _u18619), hAPP(hAPP(c_List_Olist_OCons(_u18618), _u18620), _u18621)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u18617, _u18618)), _u18617, c_List_Olist_ONil(tc_prod(_u18617, _u18618)), hAPP(hAPP(c_COMBC(_u18617, tc_fun(tc_List_Olist(_u18617), tc_List_Olist(tc_prod(_u18617, _u18618))), tc_fun(tc_List_Olist(_u18617), tc_List_Olist(tc_prod(_u18617, _u18618)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u18617, _u18618)), tc_List_Olist(tc_prod(_u18617, _u18618))), tc_fun(tc_fun(tc_List_Olist(_u18617), tc_List_Olist(tc_prod(_u18617, _u18618))), tc_fun(tc_List_Olist(_u18617), tc_List_Olist(tc_prod(_u18617, _u18618)))), _u18617), c_COMBB(tc_List_Olist(tc_prod(_u18617, _u18618)), tc_List_Olist(tc_prod(_u18617, _u18618)), tc_List_Olist(_u18617))), hAPP(hAPP(c_COMBB(tc_prod(_u18617, _u18618), tc_fun(tc_List_Olist(tc_prod(_u18617, _u18618)), tc_List_Olist(tc_prod(_u18617, _u18618))), _u18617), c_List_Olist_OCons(tc_prod(_u18617, _u18618))), hAPP(hAPP(c_COMBC(_u18617, _u18618, tc_prod(_u18617, _u18618)), c_Product__Type_OPair(_u18617, _u18618)), _u18620)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18617), tc_List_Olist(_u18618), tc_List_Olist(tc_prod(_u18617, _u18618))), c_List_Ozip(_u18617, _u18618)), _u18621))), _u18619)) )).
% 27.71/27.96 cnf(matrix-7486, plain, ( ( hAPP(c_List_Olist_Olist__case(_u18622, _u18623, _u18624, _u18625), hAPP(hAPP(c_List_Olist_OCons(_u18623), _u18626), _u18627)) = hAPP(hAPP(_u18625, _u18626), _u18627)) )).
% 27.71/27.96 cnf(matrix-7487, plain, ( ( hAPP(c_List_Olist_Olist__case(_u18628, _u18629, _u18630, _u18631), c_List_Olist_ONil(_u18629)) = _u18630) )).
% 27.71/27.96 cnf(matrix-7488, plain, ( ( c_Random_Oselect(_u18632, _u18633) = 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(_u18632, 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(_u18632)), _u18633)))), hAPP(hAPP(c_COMBB(_u18632, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u18632, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u18632, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u18632, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u18632), _u18633)), c_Code__Numeral_Onat__of)))) )).
% 27.71/27.96 cnf(matrix-7489, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18634), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18635)), _u18636))) | ( hAPP(c_Random_Opick(_u18635, hAPP(hAPP(c_List_Omap(_u18635, tc_prod(tc_Code__Numeral_Ocode__numeral, _u18635)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18635), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u18636)), hAPP(c_Code__Numeral_Oof__nat, _u18634)) = hAPP(hAPP(c_List_Onth(_u18635), _u18636), _u18634)) )).
% 27.71/27.96 cnf(matrix-7490, plain, ( ( hAPP(hAPP(c_List_Onth(_u18637), hAPP(hAPP(c_List_Olist_OCons(_u18637), _u18638), _u18639)), _u18640) = c_Nat_Onat_Onat__case(_u18637, _u18638, hAPP(c_List_Onth(_u18637), _u18639), _u18640)) )).
% 27.71/27.96 cnf(matrix-7491, plain, ( ( hAPP(hAPP(c_List_Onth(_u18641), hAPP(hAPP(c_List_Olist_OCons(_u18641), _u18642), _u18643)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u18642) )).
% 27.71/27.96 cnf(matrix-7492, plain, ( ( hAPP(hAPP(c_List_Onth(_u18644), hAPP(hAPP(c_List_Olist_OCons(_u18644), _u18645), _u18646)), hAPP(c_Nat_OSuc, _u18647)) = hAPP(hAPP(c_List_Onth(_u18644), _u18646), _u18647)) )).
% 27.71/27.96 cnf(matrix-7493, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18648), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18649)), _u18650))) | ( hAPP(hAPP(c_List_Onth(_u18651), hAPP(hAPP(c_List_Omap(_u18649, _u18651), _u18652), _u18650)), _u18648) = hAPP(_u18652, hAPP(hAPP(c_List_Onth(_u18649), _u18650), _u18648))) )).
% 27.71/27.96 cnf(matrix-7494, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18654), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18660)), _u18662))) | hBOOL(hAPP(_u18664, hAPP(hAPP(c_List_Onth(_u18660), _u18662), _u18654))) | hBOOL(hAPP(hAPP(c_member(_u18660), skolem460(_u18664, _u18662, _u18660)), hAPP(c_List_Oset(_u18660), _u18662))) )).
% 27.71/27.96 cnf(matrix-7495, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18654), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18660)), _u18662))) | hBOOL(hAPP(_u18664, hAPP(hAPP(c_List_Onth(_u18660), _u18662), _u18654))) | ~hBOOL(hAPP(_u18664, skolem460(_u18664, _u18662, _u18660))) )).
% 27.71/27.96 cnf(matrix-7496, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18661), _u18656), hAPP(c_List_Oset(_u18661), _u18663))) | hBOOL(hAPP(_u18665, _u18656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem461(_u18665, _u18663, _u18661)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18661)), _u18663))) )).
% 27.71/27.96 cnf(matrix-7497, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18661), _u18656), hAPP(c_List_Oset(_u18661), _u18663))) | hBOOL(hAPP(_u18665, _u18656)) | ~hBOOL(hAPP(_u18665, hAPP(hAPP(c_List_Onth(_u18661), _u18663), skolem461(_u18665, _u18663, _u18661)))) )).
% 27.71/27.96 cnf(matrix-7498, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18672), _u18674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18667), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18672)), _u18674))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18666), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18672)), _u18674))) | ( _u18667 = _u18666) | ( hAPP(hAPP(c_List_Onth(_u18672), _u18674), _u18667) != hAPP(hAPP(c_List_Onth(_u18672), _u18674), _u18666)) )).
% 27.71/27.96 cnf(matrix-7499, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18673), _u18675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem462(_u18675, _u18673)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18673)), _u18675))) )).
% 27.71/27.96 cnf(matrix-7500, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18673), _u18675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18675, _u18673)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18673)), _u18675))) )).
% 27.71/27.96 cnf(matrix-7501, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18673), _u18675)) | ( skolem462(_u18675, _u18673) != skolem463(_u18675, _u18673)) )).
% 27.71/27.96 cnf(matrix-7502, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18673), _u18675)) | ( hAPP(hAPP(c_List_Onth(_u18673), _u18675), skolem462(_u18675, _u18673)) = hAPP(hAPP(c_List_Onth(_u18673), _u18675), skolem463(_u18675, _u18673))) )).
% 27.71/27.96 cnf(matrix-7503, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18676), _u18677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18678), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18676)), _u18677))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18679), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18676)), _u18677))) | ( hAPP(hAPP(c_List_Onth(_u18676), _u18677), _u18678) != hAPP(hAPP(c_List_Onth(_u18676), _u18677), _u18679)) | ( _u18678 = _u18679) )).
% 27.71/27.96 cnf(matrix-7504, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18676), _u18677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18678), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18676)), _u18677))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18679), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18676)), _u18677))) | ( _u18678 != _u18679) | ( hAPP(hAPP(c_List_Onth(_u18676), _u18677), _u18678) = hAPP(hAPP(c_List_Onth(_u18676), _u18677), _u18679)) )).
% 27.71/27.96 cnf(matrix-7505, plain, ( ( _u18685 != _u18687) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18689)), _u18685) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18689)), _u18687)) )).
% 27.71/27.96 cnf(matrix-7506, plain, ( ( _u18685 != _u18687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18680), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18689)), _u18685))) | ( hAPP(hAPP(c_List_Onth(_u18689), _u18685), _u18680) = hAPP(hAPP(c_List_Onth(_u18689), _u18687), _u18680)) )).
% 27.71/27.96 cnf(matrix-7507, plain, ( ( _u18686 = _u18688) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)), _u18686) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)), _u18688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem464(_u18690, _u18688, _u18686)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)), _u18686))) )).
% 27.71/27.96 cnf(matrix-7508, plain, ( ( _u18686 = _u18688) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)), _u18686) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)), _u18688)) | ( hAPP(hAPP(c_List_Onth(_u18690), _u18686), skolem464(_u18690, _u18688, _u18686)) != hAPP(hAPP(c_List_Onth(_u18690), _u18688), skolem464(_u18690, _u18688, _u18686))) )).
% 27.71/27.96 cnf(matrix-7509, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18691), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18692)), _u18693))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18691), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18694)), _u18695))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u18692, _u18694)), hAPP(hAPP(c_List_Ozip(_u18692, _u18694), _u18693), _u18695)), _u18691) = hAPP(hAPP(c_Product__Type_OPair(_u18692, _u18694), hAPP(hAPP(c_List_Onth(_u18692), _u18693), _u18691)), hAPP(hAPP(c_List_Onth(_u18694), _u18695), _u18691))) )).
% 27.71/27.96 cnf(matrix-7510, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18696), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u18697))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u18697), _u18696)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18697))) )).
% 27.71/27.96 cnf(matrix-7511, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18703), _u18705), hAPP(c_List_Oset(_u18703), _u18707))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18707, _u18705, _u18703)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18703)), _u18707))) )).
% 27.71/27.96 cnf(matrix-7512, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18703), _u18705), hAPP(c_List_Oset(_u18703), _u18707))) | ( hAPP(hAPP(c_List_Onth(_u18703), _u18707), skolem465(_u18707, _u18705, _u18703)) = _u18705) )).
% 27.71/27.96 cnf(matrix-7513, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18699), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18704)), _u18708))) | ( hAPP(hAPP(c_List_Onth(_u18704), _u18708), _u18699) != _u18706) | hBOOL(hAPP(hAPP(c_member(_u18704), _u18706), hAPP(c_List_Oset(_u18704), _u18708))) )).
% 27.71/27.96 cnf(matrix-7514, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18709), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18710)), _u18711))) | hBOOL(hAPP(hAPP(c_member(_u18710), hAPP(hAPP(c_List_Onth(_u18710), _u18711), _u18709)), hAPP(c_List_Oset(_u18710), _u18711))) )).
% 27.71/27.96 cnf(matrix-7515, plain, ( ( _u18716 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18718), hAPP(hAPP(c_List_Olist_OCons(_u18718), _u18720), _u18722)), _u18716) = _u18720) )).
% 27.71/27.96 cnf(matrix-7516, plain, ( ( _u18717 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18719), hAPP(hAPP(c_List_Olist_OCons(_u18719), _u18721), _u18723)), _u18717) = hAPP(hAPP(c_List_Onth(_u18719), _u18723), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18717), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 27.71/27.96 cnf(matrix-7517, plain, ( ( hAPP(c_List_Oset(_u18724), _u18725) = hAPP(c_Set_OCollect(_u18724), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u18724), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u18724, 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)), _u18724), 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)), _u18724), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u18724, tc_fun(tc_Nat_Onat, _u18724), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18724, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u18724), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u18724), c_COMBB(_u18724, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u18724), _u18725))))), 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(_u18724)), _u18725)))))) )).
% 27.71/27.96 cnf(matrix-7518, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18730) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18732), hAPP(hAPP(c_List_Olist_OCons(_u18732), _u18734), _u18736)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18730)) = _u18734) )).
% 27.71/27.96 cnf(matrix-7519, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18731) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18733), hAPP(hAPP(c_List_Olist_OCons(_u18733), _u18735), _u18737)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18731)) = hAPP(hAPP(c_List_Onth(_u18733), _u18737), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18731)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 27.71/27.96 cnf(matrix-7520, plain, ( ~class_Groups_Ocomm__monoid__add(_u18738) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18738), _u18739) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18738), hAPP(c_List_Onth(_u18738), _u18739)), 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(_u18738)), _u18739)))) )).
% 27.71/27.96 cnf(matrix-7521, plain, ( ( hAPP(c_List_Oset(_u18740), c_List_Osublist(_u18740, _u18741, _u18742)) = hAPP(c_Set_OCollect(_u18740), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u18740), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u18740, 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)), _u18740), 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)), _u18740), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u18740, tc_fun(tc_Nat_Onat, _u18740), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18740, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u18740), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u18740), c_COMBB(_u18740, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u18740), _u18741))))), 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(_u18740)), _u18741)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u18742)))))) )).
% 27.71/27.96 cnf(matrix-7522, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18749), tc_List_Olist(_u18749))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18749), tc_List_Olist(_u18749)), _u18751), _u18753)), c_List_Olistrel(_u18749, _u18755))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18749)), _u18751) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18749)), _u18753)) )).
% 27.71/27.96 cnf(matrix-7523, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18749), tc_List_Olist(_u18749))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18749), tc_List_Olist(_u18749)), _u18751), _u18753)), c_List_Olistrel(_u18749, _u18755))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18743), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18749)), _u18751))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18749, _u18749)), hAPP(hAPP(c_Product__Type_OPair(_u18749, _u18749), hAPP(hAPP(c_List_Onth(_u18749), _u18751), _u18743)), hAPP(hAPP(c_List_Onth(_u18749), _u18753), _u18743))), _u18755)) )).
% 27.71/27.96 cnf(matrix-7524, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18750), tc_List_Olist(_u18750))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18750), tc_List_Olist(_u18750)), _u18752), _u18754)), c_List_Olistrel(_u18750, _u18756))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18752) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18754)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem466(_u18756, _u18754, _u18752, _u18750)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18752))) )).
% 27.71/27.96 cnf(matrix-7525, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18750), tc_List_Olist(_u18750))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18750), tc_List_Olist(_u18750)), _u18752), _u18754)), c_List_Olistrel(_u18750, _u18756))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18752) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18754)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18750, _u18750)), hAPP(hAPP(c_Product__Type_OPair(_u18750, _u18750), hAPP(hAPP(c_List_Onth(_u18750), _u18752), skolem466(_u18756, _u18754, _u18752, _u18750))), hAPP(hAPP(c_List_Onth(_u18750), _u18754), skolem466(_u18756, _u18754, _u18752, _u18750)))), _u18756)) )).
% 27.71/27.96 cnf(matrix-7526, plain, ( ( hAPP(c_List_Oset(tc_prod(_u18757, _u18758)), hAPP(hAPP(c_List_Ozip(_u18757, _u18758), _u18759), _u18760)) = hAPP(c_Set_OCollect(tc_prod(_u18757, _u18758)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u18757, _u18758)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18757, _u18758), 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(_u18757, _u18758)), 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(_u18757, _u18758)), 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(_u18757, _u18758), tc_fun(tc_Nat_Onat, tc_prod(_u18757, _u18758)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18757, _u18758), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u18757, _u18758)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u18757, _u18758)), c_COMBB(tc_prod(_u18757, _u18758), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u18758, tc_prod(_u18757, _u18758)), hAPP(hAPP(c_COMBB(_u18757, tc_fun(_u18758, tc_prod(_u18757, _u18758)), tc_Nat_Onat), c_Product__Type_OPair(_u18757, _u18758)), hAPP(c_List_Onth(_u18757), _u18759))), hAPP(c_List_Onth(_u18758), _u18760)))))), 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(_u18757)), _u18759)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18758)), _u18760))))))) )).
% 27.71/27.96 cnf(matrix-7527, plain, ( ~class_Orderings_Olinorder(_u18761) | hBOOL(hAPP(hAPP(c_member(_u18761), hAPP(_u18762, _u18763)), hAPP(c_Set_Oimage(_u18764, _u18761, _u18762), hAPP(c_List_Oset(_u18764), _u18765)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18764, _u18761, _u18762, _u18763, _u18765) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18764, _u18761, _u18762), _u18763), _u18765)) )).
% 27.71/27.96 cnf(matrix-7528, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18766), _u18767)) | hBOOL(hAPP(hAPP(c_member(_u18766), _u18768), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18766, tc_HOL_Obool)), hAPP(c_List_Oset(_u18766), _u18767)), hAPP(hAPP(c_Set_Oinsert(_u18766), hAPP(hAPP(c_List_Onth(_u18766), _u18767), _u18769)), c_Orderings_Obot__class_Obot(tc_fun(_u18766, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u18766), hAPP(hAPP(c_List_Olist__update(_u18766, _u18767), _u18769), _u18768))) )).
% 27.71/27.96 cnf(matrix-7529, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18770, _u18771), _u18772), hAPP(hAPP(c_List_Onth(_u18770), _u18771), _u18772)) = _u18771) )).
% 27.71/27.96 cnf(matrix-7530, plain, ( ( _u18773 = _u18774) | ( hAPP(hAPP(c_List_Onth(_u18775), hAPP(hAPP(c_List_Olist__update(_u18775, _u18776), _u18773), _u18777)), _u18774) = hAPP(hAPP(c_List_Onth(_u18775), _u18776), _u18774)) )).
% 27.71/27.96 cnf(matrix-7531, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18782, _u18784), _u18786), _u18788) != c_List_Olist_ONil(_u18782)) | ( _u18784 = c_List_Olist_ONil(_u18782)) )).
% 27.71/27.96 cnf(matrix-7532, plain, ( ( _u18785 != c_List_Olist_ONil(_u18783)) | ( hAPP(hAPP(c_List_Olist__update(_u18783, _u18785), _u18787), _u18789) = c_List_Olist_ONil(_u18783)) )).
% 27.71/27.96 cnf(matrix-7533, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18790, c_List_Olist_ONil(_u18790)), _u18791), _u18792) = c_List_Olist_ONil(_u18790)) )).
% 27.71/27.96 cnf(matrix-7534, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18793, c_List_Olist_ONil(_u18793)), _u18794), _u18795) = c_List_Olist_ONil(_u18793)) )).
% 27.71/27.96 cnf(matrix-7535, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18796, _u18797), hAPP(hAPP(c_List_Olist__update(_u18796, _u18798), _u18799), _u18800)), hAPP(hAPP(c_List_Olist__update(_u18797, _u18801), _u18799), _u18802)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u18796, _u18797), hAPP(hAPP(c_List_Ozip(_u18796, _u18797), _u18798), _u18801)), _u18799), hAPP(hAPP(c_Product__Type_OPair(_u18796, _u18797), _u18800), _u18802))) )).
% 27.71/27.96 cnf(matrix-7536, plain, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u18803, _u18804), hAPP(hAPP(c_List_Ozip(_u18803, _u18804), _u18805), _u18806)), _u18807), _u18808) = hAPP(hAPP(c_List_Ozip(_u18803, _u18804), hAPP(hAPP(c_List_Olist__update(_u18803, _u18805), _u18807), hAPP(c_Product__Type_Ofst(_u18803, _u18804), _u18808))), hAPP(hAPP(c_List_Olist__update(_u18804, _u18806), _u18807), hAPP(c_Product__Type_Osnd(_u18803, _u18804), _u18808)))) )).
% 27.71/27.96 cnf(matrix-7537, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18809)), hAPP(hAPP(c_List_Olist__update(_u18809, _u18810), _u18811), _u18812)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18809)), _u18810)) )).
% 27.71/27.96 cnf(matrix-7538, plain, ( ( _u18813 = _u18814) | ( hAPP(hAPP(c_List_Olist__update(_u18815, hAPP(hAPP(c_List_Olist__update(_u18815, _u18816), _u18813), _u18817)), _u18814), _u18818) = hAPP(hAPP(c_List_Olist__update(_u18815, hAPP(hAPP(c_List_Olist__update(_u18815, _u18816), _u18814), _u18818)), _u18813), _u18817)) )).
% 27.71/27.96 cnf(matrix-7539, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18819, hAPP(hAPP(c_List_Olist__update(_u18819, _u18820), _u18821), _u18822)), _u18821), _u18823) = hAPP(hAPP(c_List_Olist__update(_u18819, _u18820), _u18821), _u18823)) )).
% 27.71/27.96 cnf(matrix-7540, plain, ( ~class_Orderings_Olinorder(_u18824) | ~hBOOL(hAPP(c_List_Odistinct(_u18825), _u18826)) | hBOOL(hAPP(c_List_Odistinct(_u18825), c_List_Olinorder__class_Oinsort__insert__key(_u18825, _u18824, _u18827, _u18828, _u18826))) )).
% 27.71/27.96 cnf(matrix-7541, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18829)), _u18830)), _u18831)) | ( hAPP(hAPP(c_List_Olist__update(_u18829, _u18830), _u18831), _u18832) = _u18830) )).
% 27.71/27.96 cnf(matrix-7542, plain, ( ( hAPP(hAPP(c_List_Omap(_u18833, _u18834), _u18835), hAPP(hAPP(c_List_Olist__update(_u18833, _u18836), _u18837), _u18838)) = hAPP(hAPP(c_List_Olist__update(_u18834, hAPP(hAPP(c_List_Omap(_u18833, _u18834), _u18835), _u18836)), _u18837), hAPP(_u18835, _u18838))) )).
% 27.71/27.96 cnf(matrix-7543, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18839, hAPP(hAPP(c_List_Olist_OCons(_u18839), _u18840), _u18841)), hAPP(c_Nat_OSuc, _u18842)), _u18843) = hAPP(hAPP(c_List_Olist_OCons(_u18839), _u18840), hAPP(hAPP(c_List_Olist__update(_u18839, _u18841), _u18842), _u18843))) )).
% 27.71/27.96 cnf(matrix-7544, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18844, hAPP(hAPP(c_List_Olist_OCons(_u18844), _u18845), _u18846)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18847) = hAPP(hAPP(c_List_Olist_OCons(_u18844), _u18847), _u18846)) )).
% 27.71/27.96 cnf(matrix-7545, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18848, hAPP(hAPP(c_List_Olist_OCons(_u18848), _u18849), _u18850)), _u18851), _u18852) = c_Nat_Onat_Onat__case(tc_List_Olist(_u18848), hAPP(hAPP(c_List_Olist_OCons(_u18848), _u18852), _u18850), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18848), tc_List_Olist(_u18848), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u18848), _u18849)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u18848, tc_List_Olist(_u18848)), c_List_Olist__update(_u18848, _u18850)), _u18852)), _u18851)) )).
% 27.71/27.96 cnf(matrix-7546, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18853, tc_HOL_Obool)), hAPP(c_List_Oset(_u18853), _u18854)), _u18855)) | ~hBOOL(hAPP(hAPP(c_member(_u18853), _u18856), _u18855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18853, tc_HOL_Obool)), hAPP(c_List_Oset(_u18853), hAPP(hAPP(c_List_Olist__update(_u18853, _u18854), _u18857), _u18856))), _u18855)) )).
% 27.71/27.96 cnf(matrix-7547, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18858, tc_HOL_Obool)), hAPP(c_List_Oset(_u18858), hAPP(hAPP(c_List_Olist__update(_u18858, _u18859), _u18860), _u18861))), hAPP(hAPP(c_Set_Oinsert(_u18858), _u18861), hAPP(c_List_Oset(_u18858), _u18859)))) )).
% 27.71/27.96 cnf(matrix-7548, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18862), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18863)), _u18864))) | ( _u18862 != _u18865) | ( hAPP(hAPP(c_List_Onth(_u18863), hAPP(hAPP(c_List_Olist__update(_u18863, _u18864), _u18862), _u18866)), _u18865) = _u18866) )).
% 27.71/27.96 cnf(matrix-7549, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18862), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18863)), _u18864))) | ( _u18862 = _u18865) | ( hAPP(hAPP(c_List_Onth(_u18863), hAPP(hAPP(c_List_Olist__update(_u18863, _u18864), _u18862), _u18866)), _u18865) = hAPP(hAPP(c_List_Onth(_u18863), _u18864), _u18865)) )).
% 27.71/27.96 cnf(matrix-7550, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18867), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18868)), _u18869))) | ( hAPP(hAPP(c_List_Olist__update(_u18868, _u18869), _u18867), _u18870) != _u18869) | ( hAPP(hAPP(c_List_Onth(_u18868), _u18869), _u18867) = _u18870) )).
% 27.71/27.96 cnf(matrix-7551, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18867), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18868)), _u18869))) | ( hAPP(hAPP(c_List_Onth(_u18868), _u18869), _u18867) != _u18870) | ( hAPP(hAPP(c_List_Olist__update(_u18868, _u18869), _u18867), _u18870) = _u18869) )).
% 27.71/27.96 cnf(matrix-7552, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18871), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18872)), _u18873))) | ( hAPP(hAPP(c_List_Onth(_u18872), hAPP(hAPP(c_List_Olist__update(_u18872, _u18873), _u18871), _u18874)), _u18871) = _u18874) )).
% 27.71/27.96 cnf(matrix-7553, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18875), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18876)), _u18877))) | hBOOL(hAPP(hAPP(c_member(_u18876), _u18878), hAPP(c_List_Oset(_u18876), hAPP(hAPP(c_List_Olist__update(_u18876, _u18877), _u18875), _u18878)))) )).
% 27.71/27.96 cnf(matrix-7554, plain, ( ~class_Orderings_Olinorder(_u18879) | ~hBOOL(hAPP(hAPP(c_member(_u18879), _u18880), hAPP(c_List_Oset(_u18879), _u18881))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18879, _u18879, c_COMBI(_u18879), _u18880, _u18881) = _u18881) )).
% 27.71/27.96 cnf(matrix-7555, plain, ( ~class_Orderings_Olinorder(_u18882) | ( hAPP(c_List_Oset(_u18882), c_List_Olinorder__class_Oinsort__insert__key(_u18882, _u18882, c_COMBI(_u18882), _u18883, _u18884)) = hAPP(hAPP(c_Set_Oinsert(_u18882), _u18883), hAPP(c_List_Oset(_u18882), _u18884))) )).
% 27.71/27.96 cnf(matrix-7556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18885), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u18886))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u18886), _u18885), _u18887)) = 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), _u18886)), _u18887)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u18886), _u18885))) )).
% 27.71/27.96 cnf(matrix-7557, plain, ( ~class_Orderings_Olinorder(_u18888) | ~hBOOL(hAPP(hAPP(c_member(_u18888), hAPP(_u18889, _u18890)), hAPP(c_Set_Oimage(_u18891, _u18888, _u18889), hAPP(c_List_Oset(_u18891), _u18892)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18891, _u18888, _u18889, _u18890, _u18892) = _u18892) )).
% 27.71/27.96 cnf(matrix-7558, plain, ( ~class_Orderings_Olinorder(_u18893) | hBOOL(hAPP(hAPP(c_member(_u18893), _u18894), hAPP(c_List_Oset(_u18893), _u18895))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18893, _u18893, c_COMBI(_u18893), _u18894, _u18895) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18893, _u18893, c_COMBI(_u18893)), _u18894), _u18895)) )).
% 27.71/27.96 cnf(matrix-7559, plain, ( ( c_List_Osublist(_u18896, hAPP(hAPP(c_List_Olist_OCons(_u18896), _u18897), _u18898), _u18899) = hAPP(hAPP(c_List_Oappend(_u18896), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u18896)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18899)), hAPP(hAPP(c_List_Olist_OCons(_u18896), _u18897), c_List_Olist_ONil(_u18896))), c_List_Olist_ONil(_u18896))), c_List_Osublist(_u18896, _u18898, 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)), _u18899))))) )).
% 27.71/27.96 cnf(matrix-7560, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18906), tc_List_Olist(_u18906))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18906), tc_List_Olist(_u18906)), hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18908), _u18910)), hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18912), _u18914))), c_List_Olexord(_u18906, _u18916))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18906, _u18906)), hAPP(hAPP(c_Product__Type_OPair(_u18906, _u18906), _u18908), _u18912)), _u18916)) | ( _u18908 = _u18912) )).
% 27.71/27.96 cnf(matrix-7561, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18906), tc_List_Olist(_u18906))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18906), tc_List_Olist(_u18906)), hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18908), _u18910)), hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18912), _u18914))), c_List_Olexord(_u18906, _u18916))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18906, _u18906)), hAPP(hAPP(c_Product__Type_OPair(_u18906, _u18906), _u18908), _u18912)), _u18916)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18906), tc_List_Olist(_u18906))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18906), tc_List_Olist(_u18906)), _u18910), _u18914)), c_List_Olexord(_u18906, _u18916))) )).
% 27.71/27.96 cnf(matrix-7562, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18907), tc_List_Olist(_u18907))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18907), tc_List_Olist(_u18907)), hAPP(hAPP(c_List_Olist_OCons(_u18907), _u18909), _u18911)), hAPP(hAPP(c_List_Olist_OCons(_u18907), _u18913), _u18915))), c_List_Olexord(_u18907, _u18917))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18907, _u18907)), hAPP(hAPP(c_Product__Type_OPair(_u18907, _u18907), _u18909), _u18913)), _u18917)) )).
% 27.71/27.96 cnf(matrix-7563, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18907), tc_List_Olist(_u18907))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18907), tc_List_Olist(_u18907)), hAPP(hAPP(c_List_Olist_OCons(_u18907), _u18909), _u18911)), hAPP(hAPP(c_List_Olist_OCons(_u18907), _u18913), _u18915))), c_List_Olexord(_u18907, _u18917))) | ( _u18909 != _u18913) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18907), tc_List_Olist(_u18907))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18907), tc_List_Olist(_u18907)), _u18911), _u18915)), c_List_Olexord(_u18907, _u18917))) )).
% 27.71/27.96 cnf(matrix-7564, plain, ( ( hAPP(hAPP(c_List_Onth(_u18918), hAPP(hAPP(c_List_Oappend(_u18918), _u18919), hAPP(hAPP(c_List_Olist_OCons(_u18918), _u18920), _u18921))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18918)), _u18919)) = _u18920) )).
% 27.71/27.96 cnf(matrix-7565, plain, ( ( hAPP(hAPP(c_List_Onth(_u18922), hAPP(hAPP(c_List_Oappend(_u18922), _u18923), _u18924)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18922)), _u18923)), _u18925)) = hAPP(hAPP(c_List_Onth(_u18922), _u18924), _u18925)) )).
% 27.71/27.96 cnf(matrix-7566, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18926)), _u18927) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18928)), _u18929)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18926)), _u18930) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18928)), _u18931)) | ( hAPP(hAPP(c_List_Ozip(_u18926, _u18928), hAPP(hAPP(c_List_Oappend(_u18926), _u18927), _u18930)), hAPP(hAPP(c_List_Oappend(_u18928), _u18929), _u18931)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u18926, _u18928)), hAPP(hAPP(c_List_Ozip(_u18926, _u18928), _u18927), _u18929)), hAPP(hAPP(c_List_Ozip(_u18926, _u18928), _u18930), _u18931))) )).
% 27.71/27.96 cnf(matrix-7567, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18932), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18933)), _u18934))) | ( hAPP(hAPP(c_List_Olist__update(_u18933, hAPP(hAPP(c_List_Oappend(_u18933), _u18934), _u18935)), _u18932), _u18936) = hAPP(hAPP(c_List_Oappend(_u18933), hAPP(hAPP(c_List_Olist__update(_u18933, _u18934), _u18932), _u18936)), _u18935)) )).
% 27.71/27.96 cnf(matrix-7568, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18937)), hAPP(hAPP(c_List_Oappend(_u18937), _u18938), _u18939)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18937)), _u18938)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18937)), _u18939))) )).
% 27.71/27.96 cnf(matrix-7569, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18940, hAPP(hAPP(c_List_Oappend(_u18940), _u18941), hAPP(hAPP(c_List_Olist_OCons(_u18940), _u18942), _u18943))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18940)), _u18941)), _u18944) = hAPP(hAPP(c_List_Oappend(_u18940), _u18941), hAPP(hAPP(c_List_Olist_OCons(_u18940), _u18944), _u18943))) )).
% 27.71/27.96 cnf(matrix-7570, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18950), _u18952), hAPP(hAPP(c_List_Olist_OCons(_u18950), _u18954), c_List_Olist_ONil(_u18950))) != hAPP(hAPP(c_List_Oappend(_u18950), _u18956), hAPP(hAPP(c_List_Olist_OCons(_u18950), _u18958), c_List_Olist_ONil(_u18950)))) | ( _u18952 = _u18956) )).
% 27.71/27.96 cnf(matrix-7571, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18950), _u18952), hAPP(hAPP(c_List_Olist_OCons(_u18950), _u18954), c_List_Olist_ONil(_u18950))) != hAPP(hAPP(c_List_Oappend(_u18950), _u18956), hAPP(hAPP(c_List_Olist_OCons(_u18950), _u18958), c_List_Olist_ONil(_u18950)))) | ( _u18954 = _u18958) )).
% 27.71/27.96 cnf(matrix-7572, plain, ( ( _u18953 != _u18957) | ( _u18955 != _u18959) | ( hAPP(hAPP(c_List_Oappend(_u18951), _u18953), hAPP(hAPP(c_List_Olist_OCons(_u18951), _u18955), c_List_Olist_ONil(_u18951))) = hAPP(hAPP(c_List_Oappend(_u18951), _u18957), hAPP(hAPP(c_List_Olist_OCons(_u18951), _u18959), c_List_Olist_ONil(_u18951)))) )).
% 27.71/27.96 cnf(matrix-7573, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), _u18971) != hAPP(hAPP(c_List_Oappend(_u18967), _u18973), _u18975)) | ( _u18973 = c_List_Olist_ONil(_u18967)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), skolem467(_u18975, _u18973, _u18971, _u18969, _u18967)) = _u18973) )).
% 27.71/27.96 cnf(matrix-7574, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), _u18971) != hAPP(hAPP(c_List_Oappend(_u18967), _u18973), _u18975)) | ( _u18973 = c_List_Olist_ONil(_u18967)) | ( _u18971 = hAPP(hAPP(c_List_Oappend(_u18967), skolem467(_u18975, _u18973, _u18971, _u18969, _u18967)), _u18975)) )).
% 27.71/27.96 cnf(matrix-7575, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), _u18971) != hAPP(hAPP(c_List_Oappend(_u18967), _u18973), _u18975)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), _u18971) = _u18975) | ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), skolem467(_u18975, _u18973, _u18971, _u18969, _u18967)) = _u18973) )).
% 27.71/27.96 cnf(matrix-7576, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), _u18971) != hAPP(hAPP(c_List_Oappend(_u18967), _u18973), _u18975)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18967), _u18969), _u18971) = _u18975) | ( _u18971 = hAPP(hAPP(c_List_Oappend(_u18967), skolem467(_u18975, _u18973, _u18971, _u18969, _u18967)), _u18975)) )).
% 27.71/27.96 cnf(matrix-7577, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18968), _u18970), _u18972) = hAPP(hAPP(c_List_Oappend(_u18968), _u18974), _u18976)) | ( _u18974 != c_List_Olist_ONil(_u18968)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18968), _u18970), _u18972) != _u18976) )).
% 27.71/27.96 cnf(matrix-7578, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18968), _u18970), _u18972) = hAPP(hAPP(c_List_Oappend(_u18968), _u18974), _u18976)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18968), _u18970), _u18961) != _u18974) | ( _u18972 != hAPP(hAPP(c_List_Oappend(_u18968), _u18961), _u18976)) )).
% 27.71/27.96 cnf(matrix-7579, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18984), _u18986), _u18988) != hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), _u18992)) | ( _u18986 = c_List_Olist_ONil(_u18984)) | ( _u18986 = hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), skolem468(_u18992, _u18990, _u18988, _u18986, _u18984))) )).
% 27.71/27.96 cnf(matrix-7580, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18984), _u18986), _u18988) != hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), _u18992)) | ( _u18986 = c_List_Olist_ONil(_u18984)) | ( hAPP(hAPP(c_List_Oappend(_u18984), skolem468(_u18992, _u18990, _u18988, _u18986, _u18984)), _u18988) = _u18992) )).
% 27.71/27.96 cnf(matrix-7581, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18984), _u18986), _u18988) != hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), _u18992)) | ( _u18988 = hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), _u18992)) | ( _u18986 = hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), skolem468(_u18992, _u18990, _u18988, _u18986, _u18984))) )).
% 27.71/27.96 cnf(matrix-7582, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18984), _u18986), _u18988) != hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), _u18992)) | ( _u18988 = hAPP(hAPP(c_List_Olist_OCons(_u18984), _u18990), _u18992)) | ( hAPP(hAPP(c_List_Oappend(_u18984), skolem468(_u18992, _u18990, _u18988, _u18986, _u18984)), _u18988) = _u18992) )).
% 27.71/27.96 cnf(matrix-7583, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18985), _u18987), _u18989) = hAPP(hAPP(c_List_Olist_OCons(_u18985), _u18991), _u18993)) | ( _u18987 != c_List_Olist_ONil(_u18985)) | ( _u18989 != hAPP(hAPP(c_List_Olist_OCons(_u18985), _u18991), _u18993)) )).
% 27.71/27.96 cnf(matrix-7584, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18985), _u18987), _u18989) = hAPP(hAPP(c_List_Olist_OCons(_u18985), _u18991), _u18993)) | ( _u18987 != hAPP(hAPP(c_List_Olist_OCons(_u18985), _u18991), _u18978)) | ( hAPP(hAPP(c_List_Oappend(_u18985), _u18978), _u18989) != _u18993) )).
% 27.71/27.96 cnf(matrix-7585, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18994, _u18994)), hAPP(hAPP(c_Product__Type_OPair(_u18994, _u18994), _u18995), _u18996)), _u18997)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18994), tc_List_Olist(_u18994))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18994), tc_List_Olist(_u18994)), hAPP(hAPP(c_List_Oappend(_u18994), _u18998), hAPP(hAPP(c_List_Olist_OCons(_u18994), _u18995), _u18999))), hAPP(hAPP(c_List_Oappend(_u18994), _u18998), hAPP(hAPP(c_List_Olist_OCons(_u18994), _u18996), _u19000)))), c_List_Olexord(_u18994, _u18997))) )).
% 27.71/27.96 cnf(matrix-7586, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19001), _u19002), _u19003) != _u19004) | ( _u19005 != hAPP(hAPP(c_List_Oappend(_u19001), _u19003), _u19006)) | ( hAPP(hAPP(c_List_Olist_OCons(_u19001), _u19002), _u19005) = hAPP(hAPP(c_List_Oappend(_u19001), _u19004), _u19006)) )).
% 27.71/27.96 cnf(matrix-7587, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19007), hAPP(hAPP(c_List_Olist_OCons(_u19007), _u19008), _u19009)), _u19010) = hAPP(hAPP(c_List_Olist_OCons(_u19007), _u19008), hAPP(hAPP(c_List_Oappend(_u19007), _u19009), _u19010))) )).
% 27.71/27.96 cnf(matrix-7588, plain, ( ~class_Groups_Omonoid__add(_u19011) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u19011), hAPP(hAPP(c_List_Oappend(_u19011), _u19012), _u19013)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19011), hAPP(c_List_Omonoid__add__class_Olistsum(_u19011), _u19012)), hAPP(c_List_Omonoid__add__class_Olistsum(_u19011), _u19013))) )).
% 27.71/27.96 cnf(matrix-7589, plain, ( ( hAPP(hAPP(c_List_Omap(_u19014, _u19015), _u19016), hAPP(hAPP(c_List_Oappend(_u19014), _u19017), _u19018)) = hAPP(hAPP(c_List_Oappend(_u19015), hAPP(hAPP(c_List_Omap(_u19014, _u19015), _u19016), _u19017)), hAPP(hAPP(c_List_Omap(_u19014, _u19015), _u19016), _u19018))) )).
% 27.71/27.96 cnf(matrix-7590, plain, ( ( hAPP(c_List_Oset(_u19019), hAPP(hAPP(c_List_Oappend(_u19019), _u19020), _u19021)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19019, tc_HOL_Obool)), hAPP(c_List_Oset(_u19019), _u19020)), hAPP(c_List_Oset(_u19019), _u19021))) )).
% 27.71/27.96 cnf(matrix-7591, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19026), _u19028), hAPP(c_List_Oset(_u19026), _u19030))) | ( c_List_Oremove1(_u19026, _u19028, hAPP(hAPP(c_List_Oappend(_u19026), _u19030), _u19032)) = hAPP(hAPP(c_List_Oappend(_u19026), c_List_Oremove1(_u19026, _u19028, _u19030)), _u19032)) )).
% 27.71/27.96 cnf(matrix-7592, plain, ( hBOOL(hAPP(hAPP(c_member(_u19027), _u19029), hAPP(c_List_Oset(_u19027), _u19031))) | ( c_List_Oremove1(_u19027, _u19029, hAPP(hAPP(c_List_Oappend(_u19027), _u19031), _u19033)) = hAPP(hAPP(c_List_Oappend(_u19027), _u19031), c_List_Oremove1(_u19027, _u19029, _u19033))) )).
% 27.71/27.96 cnf(matrix-7593, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19034), hAPP(hAPP(c_List_Oappend(_u19034), _u19035), _u19036)), _u19037) = hAPP(hAPP(c_List_Oappend(_u19034), _u19035), hAPP(hAPP(c_List_Oappend(_u19034), _u19036), _u19037))) )).
% 27.71/27.96 cnf(matrix-7594, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19049), _u19051), _u19053) != hAPP(hAPP(c_List_Oappend(_u19049), _u19055), _u19057)) | ( _u19051 = hAPP(hAPP(c_List_Oappend(_u19049), _u19055), skolem469(_u19057, _u19055, _u19053, _u19051, _u19049))) | ( hAPP(hAPP(c_List_Oappend(_u19049), _u19051), skolem470(_u19057, _u19055, _u19053, _u19051, _u19049)) = _u19055) )).
% 27.71/27.96 cnf(matrix-7595, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19049), _u19051), _u19053) != hAPP(hAPP(c_List_Oappend(_u19049), _u19055), _u19057)) | ( _u19051 = hAPP(hAPP(c_List_Oappend(_u19049), _u19055), skolem469(_u19057, _u19055, _u19053, _u19051, _u19049))) | ( _u19053 = hAPP(hAPP(c_List_Oappend(_u19049), skolem470(_u19057, _u19055, _u19053, _u19051, _u19049)), _u19057)) )).
% 27.71/27.96 cnf(matrix-7596, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19049), _u19051), _u19053) != hAPP(hAPP(c_List_Oappend(_u19049), _u19055), _u19057)) | ( hAPP(hAPP(c_List_Oappend(_u19049), skolem469(_u19057, _u19055, _u19053, _u19051, _u19049)), _u19053) = _u19057) | ( hAPP(hAPP(c_List_Oappend(_u19049), _u19051), skolem470(_u19057, _u19055, _u19053, _u19051, _u19049)) = _u19055) )).
% 27.71/27.96 cnf(matrix-7597, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19049), _u19051), _u19053) != hAPP(hAPP(c_List_Oappend(_u19049), _u19055), _u19057)) | ( hAPP(hAPP(c_List_Oappend(_u19049), skolem469(_u19057, _u19055, _u19053, _u19051, _u19049)), _u19053) = _u19057) | ( _u19053 = hAPP(hAPP(c_List_Oappend(_u19049), skolem470(_u19057, _u19055, _u19053, _u19051, _u19049)), _u19057)) )).
% 27.71/27.96 cnf(matrix-7598, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19050), _u19052), _u19054) = hAPP(hAPP(c_List_Oappend(_u19050), _u19056), _u19058)) | ( _u19052 != hAPP(hAPP(c_List_Oappend(_u19050), _u19056), _u19047)) | ( hAPP(hAPP(c_List_Oappend(_u19050), _u19047), _u19054) != _u19058) )).
% 27.71/27.96 cnf(matrix-7599, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19050), _u19052), _u19054) = hAPP(hAPP(c_List_Oappend(_u19050), _u19056), _u19058)) | ( hAPP(hAPP(c_List_Oappend(_u19050), _u19052), _u19048) != _u19056) | ( _u19054 != hAPP(hAPP(c_List_Oappend(_u19050), _u19048), _u19058)) )).
% 27.71/27.96 cnf(matrix-7600, plain, ( ( _u19067 = _u19069) | ( hAPP(hAPP(c_List_Oappend(_u19063), _u19065), _u19067) != hAPP(hAPP(c_List_Oappend(_u19063), _u19065), _u19069)) )).
% 27.71/27.96 cnf(matrix-7601, plain, ( ( _u19068 != _u19070) | ( hAPP(hAPP(c_List_Oappend(_u19064), _u19066), _u19068) = hAPP(hAPP(c_List_Oappend(_u19064), _u19066), _u19070)) )).
% 27.71/27.96 cnf(matrix-7602, plain, ( ( _u19077 = _u19081) | ( hAPP(hAPP(c_List_Oappend(_u19075), _u19077), _u19079) != hAPP(hAPP(c_List_Oappend(_u19075), _u19081), _u19079)) )).
% 27.71/27.96 cnf(matrix-7603, plain, ( ( _u19078 != _u19082) | ( hAPP(hAPP(c_List_Oappend(_u19076), _u19078), _u19080) = hAPP(hAPP(c_List_Oappend(_u19076), _u19082), _u19080)) )).
% 27.71/27.96 cnf(matrix-7604, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19083), _u19084), _u19085) != _u19086) | ( _u19087 != hAPP(hAPP(c_List_Oappend(_u19083), _u19085), _u19088)) | ( hAPP(hAPP(c_List_Oappend(_u19083), _u19084), _u19087) = hAPP(hAPP(c_List_Oappend(_u19083), _u19086), _u19088)) )).
% 27.71/27.96 cnf(matrix-7605, plain, ( ( c_Map_Omap__of(_u19089, _u19090, hAPP(hAPP(c_List_Oappend(tc_prod(_u19089, _u19090)), _u19091), _u19092)) = c_Map_Omap__add(_u19089, _u19090, c_Map_Omap__of(_u19089, _u19090, _u19092), c_Map_Omap__of(_u19089, _u19090, _u19091))) )).
% 27.71/27.96 cnf(matrix-7606, plain, ( ( c_List_Ofoldr(_u19093, _u19094, _u19095, hAPP(hAPP(c_List_Oappend(_u19093), _u19096), _u19097), _u19098) = c_List_Ofoldr(_u19093, _u19094, _u19095, _u19096, c_List_Ofoldr(_u19093, _u19094, _u19095, _u19097, _u19098))) )).
% 27.71/27.96 cnf(matrix-7607, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19099), tc_List_Olist(_u19099))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19099), tc_List_Olist(_u19099)), _u19100), _u19101)), c_List_Olexord(_u19099, _u19102))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19099), tc_List_Olist(_u19099))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19099), tc_List_Olist(_u19099)), hAPP(hAPP(c_List_Oappend(_u19099), _u19103), _u19100)), hAPP(hAPP(c_List_Oappend(_u19099), _u19103), _u19101))), c_List_Olexord(_u19099, _u19102))) )).
% 27.71/27.96 cnf(matrix-7608, plain, ( ( _u19104 != _u19105) | ( _u19104 = hAPP(hAPP(c_List_Oappend(_u19106), c_List_Olist_ONil(_u19106)), _u19105)) )).
% 27.71/27.96 cnf(matrix-7609, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19110), _u19112), _u19114) != _u19114) | ( _u19112 = c_List_Olist_ONil(_u19110)) )).
% 27.71/27.96 cnf(matrix-7610, plain, ( ( _u19113 != c_List_Olist_ONil(_u19111)) | ( hAPP(hAPP(c_List_Oappend(_u19111), _u19113), _u19115) = _u19115) )).
% 27.71/27.96 cnf(matrix-7611, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19119), _u19121), _u19123) != _u19121) | ( _u19123 = c_List_Olist_ONil(_u19119)) )).
% 27.71/27.96 cnf(matrix-7612, plain, ( ( _u19124 != c_List_Olist_ONil(_u19120)) | ( hAPP(hAPP(c_List_Oappend(_u19120), _u19122), _u19124) = _u19122) )).
% 27.71/27.96 cnf(matrix-7613, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19128), _u19130), _u19132) != c_List_Olist_ONil(_u19128)) | ( _u19130 = c_List_Olist_ONil(_u19128)) )).
% 27.71/27.96 cnf(matrix-7614, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19128), _u19130), _u19132) != c_List_Olist_ONil(_u19128)) | ( _u19132 = c_List_Olist_ONil(_u19128)) )).
% 27.71/27.96 cnf(matrix-7615, plain, ( ( _u19131 != c_List_Olist_ONil(_u19129)) | ( _u19133 != c_List_Olist_ONil(_u19129)) | ( hAPP(hAPP(c_List_Oappend(_u19129), _u19131), _u19133) = c_List_Olist_ONil(_u19129)) )).
% 27.71/27.96 cnf(matrix-7616, plain, ( ( _u19141 = c_List_Olist_ONil(_u19139)) | ( _u19137 != hAPP(hAPP(c_List_Oappend(_u19139), _u19141), _u19137)) )).
% 27.71/27.96 cnf(matrix-7617, plain, ( ( _u19142 != c_List_Olist_ONil(_u19140)) | ( _u19138 = hAPP(hAPP(c_List_Oappend(_u19140), _u19142), _u19138)) )).
% 27.71/27.96 cnf(matrix-7618, plain, ( ( _u19150 = c_List_Olist_ONil(_u19148)) | ( _u19146 != hAPP(hAPP(c_List_Oappend(_u19148), _u19146), _u19150)) )).
% 27.71/27.96 cnf(matrix-7619, plain, ( ( _u19151 != c_List_Olist_ONil(_u19149)) | ( _u19147 = hAPP(hAPP(c_List_Oappend(_u19149), _u19147), _u19151)) )).
% 27.71/27.96 cnf(matrix-7620, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19152), _u19153), c_List_Olist_ONil(_u19152)) = _u19153) )).
% 27.71/27.96 cnf(matrix-7621, plain, ( ( c_List_Olist_ONil(_u19157) != hAPP(hAPP(c_List_Oappend(_u19157), _u19159), _u19161)) | ( _u19159 = c_List_Olist_ONil(_u19157)) )).
% 27.71/27.96 cnf(matrix-7622, plain, ( ( c_List_Olist_ONil(_u19157) != hAPP(hAPP(c_List_Oappend(_u19157), _u19159), _u19161)) | ( _u19161 = c_List_Olist_ONil(_u19157)) )).
% 27.71/27.96 cnf(matrix-7623, plain, ( ( _u19160 != c_List_Olist_ONil(_u19158)) | ( _u19162 != c_List_Olist_ONil(_u19158)) | ( c_List_Olist_ONil(_u19158) = hAPP(hAPP(c_List_Oappend(_u19158), _u19160), _u19162)) )).
% 27.71/27.96 cnf(matrix-7624, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19163), c_List_Olist_ONil(_u19163)), _u19164) = _u19164) )).
% 27.71/27.96 cnf(matrix-7625, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19168), hAPP(hAPP(c_List_Oappend(_u19168), _u19170), _u19172))) | hBOOL(hAPP(c_List_Odistinct(_u19168), _u19170)) )).
% 27.71/27.96 cnf(matrix-7626, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19168), hAPP(hAPP(c_List_Oappend(_u19168), _u19170), _u19172))) | hBOOL(hAPP(c_List_Odistinct(_u19168), _u19172)) )).
% 27.71/27.96 cnf(matrix-7627, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19168), hAPP(hAPP(c_List_Oappend(_u19168), _u19170), _u19172))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19168, tc_HOL_Obool)), hAPP(c_List_Oset(_u19168), _u19170)), hAPP(c_List_Oset(_u19168), _u19172)) = c_Orderings_Obot__class_Obot(tc_fun(_u19168, tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7628, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19169), _u19171)) | ~hBOOL(hAPP(c_List_Odistinct(_u19169), _u19173)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19169, tc_HOL_Obool)), hAPP(c_List_Oset(_u19169), _u19171)), hAPP(c_List_Oset(_u19169), _u19173)) != c_Orderings_Obot__class_Obot(tc_fun(_u19169, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u19169), hAPP(hAPP(c_List_Oappend(_u19169), _u19171), _u19173))) )).
% 27.71/27.96 cnf(matrix-7629, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19178), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19180)), _u19182))) | ( hAPP(hAPP(c_List_Onth(_u19180), hAPP(hAPP(c_List_Oappend(_u19180), _u19182), _u19184)), _u19178) = hAPP(hAPP(c_List_Onth(_u19180), _u19182), _u19178)) )).
% 27.71/27.96 cnf(matrix-7630, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19179), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19181)), _u19183))) | ( hAPP(hAPP(c_List_Onth(_u19181), hAPP(hAPP(c_List_Oappend(_u19181), _u19183), _u19185)), _u19179) = hAPP(hAPP(c_List_Onth(_u19181), _u19185), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19179), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19181)), _u19183)))) )).
% 27.71/27.96 cnf(matrix-7631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19191), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19193)), _u19195))) | ( hAPP(hAPP(c_List_Olist__update(_u19193, hAPP(hAPP(c_List_Oappend(_u19193), _u19195), _u19197)), _u19191), _u19199) = hAPP(hAPP(c_List_Oappend(_u19193), hAPP(hAPP(c_List_Olist__update(_u19193, _u19195), _u19191), _u19199)), _u19197)) )).
% 27.71/27.96 cnf(matrix-7632, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19192), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19196))) | ( hAPP(hAPP(c_List_Olist__update(_u19194, hAPP(hAPP(c_List_Oappend(_u19194), _u19196), _u19198)), _u19192), _u19200) = hAPP(hAPP(c_List_Oappend(_u19194), _u19196), hAPP(hAPP(c_List_Olist__update(_u19194, _u19198), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19192), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19196))), _u19200))) )).
% 27.71/27.96 cnf(matrix-7633, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19201), tc_List_Olist(_u19201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19201), tc_List_Olist(_u19201)), _u19202), c_List_Olist_ONil(_u19201))), c_List_Olexord(_u19201, _u19203))) )).
% 27.71/27.96 cnf(matrix-7634, plain, ( ( c_List_Osublist(_u19204, hAPP(hAPP(c_List_Oappend(_u19204), _u19205), _u19206), _u19207) = hAPP(hAPP(c_List_Oappend(_u19204), c_List_Osublist(_u19204, _u19205, _u19207)), c_List_Osublist(_u19204, _u19206, 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(_u19204)), _u19205)))), _u19207))))) )).
% 27.71/27.96 cnf(matrix-7635, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19212), tc_List_Olist(_u19212))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19212), tc_List_Olist(_u19212)), _u19214), _u19216)), c_List_Olex(_u19212, _u19218))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19212), tc_List_Olist(_u19212))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19212), tc_List_Olist(_u19212)), _u19214), _u19216)), c_List_Olexord(_u19212, _u19218))) )).
% 27.71/27.96 cnf(matrix-7636, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19212), tc_List_Olist(_u19212))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19212), tc_List_Olist(_u19212)), _u19214), _u19216)), c_List_Olex(_u19212, _u19218))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19212)), _u19214) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19212)), _u19216)) )).
% 27.71/27.96 cnf(matrix-7637, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19213), tc_List_Olist(_u19213))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19213), tc_List_Olist(_u19213)), _u19215), _u19217)), c_List_Olexord(_u19213, _u19219))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19213)), _u19215) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19213)), _u19217)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19213), tc_List_Olist(_u19213))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19213), tc_List_Olist(_u19213)), _u19215), _u19217)), c_List_Olex(_u19213, _u19219))) )).
% 27.71/27.96 cnf(matrix-7638, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19220)), _u19221)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19222)), _u19223))) | ( c_Map_Omap__upds(_u19220, _u19222, _u19224, hAPP(hAPP(c_List_Oappend(_u19220), _u19221), hAPP(hAPP(c_List_Olist_OCons(_u19220), _u19225), c_List_Olist_ONil(_u19220))), _u19223) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19220, tc_Option_Ooption(_u19222)), c_Map_Omap__upds(_u19220, _u19222, _u19224, _u19221, _u19223)), _u19225), hAPP(c_Option_Ooption_OSome(_u19222), hAPP(hAPP(c_List_Onth(_u19222), _u19223), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19220)), _u19221))))) )).
% 27.71/27.96 cnf(matrix-7639, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19232), tc_List_Olist(_u19232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19232), tc_List_Olist(_u19232)), _u19234), _u19236)), c_List_Olexord(_u19232, _u19238))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19236))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem471(_u19238, _u19236, _u19234, _u19232)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19236)))) )).
% 27.71/27.96 cnf(matrix-7640, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19232), tc_List_Olist(_u19232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19232), tc_List_Olist(_u19232)), _u19234), _u19236)), c_List_Olexord(_u19232, _u19238))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19236))) | ( hAPP(hAPP(c_List_Otake(_u19232), skolem471(_u19238, _u19236, _u19234, _u19232)), _u19234) = hAPP(hAPP(c_List_Otake(_u19232), skolem471(_u19238, _u19236, _u19234, _u19232)), _u19236)) )).
% 27.71/27.96 cnf(matrix-7641, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19232), tc_List_Olist(_u19232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19232), tc_List_Olist(_u19232)), _u19234), _u19236)), c_List_Olexord(_u19232, _u19238))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19236))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19232, _u19232)), hAPP(hAPP(c_Product__Type_OPair(_u19232, _u19232), hAPP(hAPP(c_List_Onth(_u19232), _u19234), skolem471(_u19238, _u19236, _u19234, _u19232))), hAPP(hAPP(c_List_Onth(_u19232), _u19236), skolem471(_u19238, _u19236, _u19234, _u19232)))), _u19238)) )).
% 27.71/27.96 cnf(matrix-7642, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19232), tc_List_Olist(_u19232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19232), tc_List_Olist(_u19232)), _u19234), _u19236)), c_List_Olexord(_u19232, _u19238))) | ( hAPP(hAPP(c_List_Otake(_u19232), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), _u19236) = _u19234) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem471(_u19238, _u19236, _u19234, _u19232)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19236)))) )).
% 27.71/27.96 cnf(matrix-7643, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19232), tc_List_Olist(_u19232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19232), tc_List_Olist(_u19232)), _u19234), _u19236)), c_List_Olexord(_u19232, _u19238))) | ( hAPP(hAPP(c_List_Otake(_u19232), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), _u19236) = _u19234) | ( hAPP(hAPP(c_List_Otake(_u19232), skolem471(_u19238, _u19236, _u19234, _u19232)), _u19234) = hAPP(hAPP(c_List_Otake(_u19232), skolem471(_u19238, _u19236, _u19234, _u19232)), _u19236)) )).
% 27.71/27.96 cnf(matrix-7644, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19232), tc_List_Olist(_u19232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19232), tc_List_Olist(_u19232)), _u19234), _u19236)), c_List_Olexord(_u19232, _u19238))) | ( hAPP(hAPP(c_List_Otake(_u19232), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), _u19234)), _u19236) = _u19234) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19232, _u19232)), hAPP(hAPP(c_Product__Type_OPair(_u19232, _u19232), hAPP(hAPP(c_List_Onth(_u19232), _u19234), skolem471(_u19238, _u19236, _u19234, _u19232))), hAPP(hAPP(c_List_Onth(_u19232), _u19236), skolem471(_u19238, _u19236, _u19234, _u19232)))), _u19238)) )).
% 27.71/27.96 cnf(matrix-7645, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19233), tc_List_Olist(_u19233))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19233), tc_List_Olist(_u19233)), _u19235), _u19237)), c_List_Olexord(_u19233, _u19239))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19233)), _u19235)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19233)), _u19237))) | ( hAPP(hAPP(c_List_Otake(_u19233), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19233)), _u19235)), _u19237) != _u19235) )).
% 27.71/27.96 cnf(matrix-7646, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19233), tc_List_Olist(_u19233))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19233), tc_List_Olist(_u19233)), _u19235), _u19237)), c_List_Olexord(_u19233, _u19239))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19227), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19233)), _u19235)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19233)), _u19237)))) | ( hAPP(hAPP(c_List_Otake(_u19233), _u19227), _u19235) != hAPP(hAPP(c_List_Otake(_u19233), _u19227), _u19237)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19233, _u19233)), hAPP(hAPP(c_Product__Type_OPair(_u19233, _u19233), hAPP(hAPP(c_List_Onth(_u19233), _u19235), _u19227)), hAPP(hAPP(c_List_Onth(_u19233), _u19237), _u19227))), _u19239)) )).
% 27.71/27.96 cnf(matrix-7647, plain, ( ( hAPP(hAPP(c_List_Otake(_u19240), _u19241), hAPP(hAPP(c_List_Oappend(_u19240), _u19242), _u19243)) = hAPP(hAPP(c_List_Oappend(_u19240), hAPP(hAPP(c_List_Otake(_u19240), _u19241), _u19242)), hAPP(hAPP(c_List_Otake(_u19240), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19241), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19240)), _u19242))), _u19243))) )).
% 27.71/27.96 cnf(matrix-7648, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19244)), _u19245) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19246)), _u19247)) | ( c_Map_Omap__upds(_u19244, _u19246, _u19248, _u19245, hAPP(hAPP(c_List_Oappend(_u19246), _u19247), _u19249)) = c_Map_Omap__upds(_u19244, _u19246, _u19248, _u19245, _u19247)) )).
% 27.71/27.96 cnf(matrix-7649, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19250)), _u19251) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19252)), _u19253)) | ( c_Map_Omap__upds(_u19250, _u19252, _u19254, hAPP(hAPP(c_List_Oappend(_u19250), _u19251), _u19255), _u19253) = c_Map_Omap__upds(_u19250, _u19252, _u19254, _u19251, _u19253)) )).
% 27.71/27.96 cnf(matrix-7650, plain, ( ( c_Map_Omap__upds(_u19256, _u19257, _u19258, c_List_Olist_ONil(_u19256), _u19259) = _u19258) )).
% 27.71/27.96 cnf(matrix-7651, plain, ( ( c_Map_Omap__upds(_u19260, _u19261, _u19262, _u19263, c_List_Olist_ONil(_u19261)) = _u19262) )).
% 27.71/27.96 cnf(matrix-7652, plain, ( ( hAPP(hAPP(c_List_Otake(_u19264), _u19265), c_List_Olist_ONil(_u19264)) = c_List_Olist_ONil(_u19264)) )).
% 27.71/27.96 cnf(matrix-7653, plain, ( ( hAPP(hAPP(c_List_Otake(_u19269), _u19271), _u19273) != c_List_Olist_ONil(_u19269)) | ( _u19271 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19273 = c_List_Olist_ONil(_u19269)) )).
% 27.71/27.96 cnf(matrix-7654, plain, ( ( hAPP(hAPP(c_List_Otake(_u19270), _u19272), _u19274) = c_List_Olist_ONil(_u19270)) | ( _u19272 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-7655, plain, ( ( hAPP(hAPP(c_List_Otake(_u19270), _u19272), _u19274) = c_List_Olist_ONil(_u19270)) | ( _u19274 != c_List_Olist_ONil(_u19270)) )).
% 27.71/27.96 cnf(matrix-7656, plain, ( ( hAPP(hAPP(c_List_Otake(_u19275), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u19276) = c_List_Olist_ONil(_u19275)) )).
% 27.71/27.96 cnf(matrix-7657, plain, ( ( c_List_Osublist(_u19277, _u19278, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u19279)) = hAPP(hAPP(c_List_Otake(_u19277), _u19279), _u19278)) )).
% 27.71/27.96 cnf(matrix-7658, plain, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u19280, _u19281)), _u19282), hAPP(hAPP(c_List_Ozip(_u19280, _u19281), _u19283), _u19284)) = hAPP(hAPP(c_List_Ozip(_u19280, _u19281), hAPP(hAPP(c_List_Otake(_u19280), _u19282), _u19283)), hAPP(hAPP(c_List_Otake(_u19281), _u19282), _u19284))) )).
% 27.71/27.96 cnf(matrix-7659, plain, ( ( hAPP(hAPP(c_List_Otake(_u19285), _u19286), hAPP(hAPP(c_List_Otake(_u19285), _u19287), _u19288)) = hAPP(hAPP(c_List_Otake(_u19285), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19286), _u19287)), _u19288)) )).
% 27.71/27.96 cnf(matrix-7660, plain, ( ( c_Map_Omap__add(_u19289, _u19290, _u19291, c_Map_Omap__upds(_u19289, _u19290, _u19292, _u19293, _u19294)) = c_Map_Omap__upds(_u19289, _u19290, c_Map_Omap__add(_u19289, _u19290, _u19291, _u19292), _u19293, _u19294)) )).
% 27.71/27.96 cnf(matrix-7661, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19295), _u19296)) | hBOOL(hAPP(c_List_Odistinct(_u19295), hAPP(hAPP(c_List_Otake(_u19295), _u19297), _u19296))) )).
% 27.71/27.96 cnf(matrix-7662, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19298, tc_HOL_Obool)), hAPP(c_List_Oset(_u19298), hAPP(hAPP(c_List_Otake(_u19298), _u19299), _u19300))), hAPP(c_List_Oset(_u19298), _u19300))) )).
% 27.71/27.96 cnf(matrix-7663, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19301), _u19302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19303, tc_HOL_Obool)), hAPP(c_List_Oset(_u19303), hAPP(hAPP(c_List_Otake(_u19303), _u19301), _u19304))), hAPP(c_List_Oset(_u19303), hAPP(hAPP(c_List_Otake(_u19303), _u19302), _u19304)))) )).
% 27.71/27.96 cnf(matrix-7664, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19305), _u19306), hAPP(c_List_Oset(_u19305), hAPP(hAPP(c_List_Otake(_u19305), _u19307), _u19308)))) | hBOOL(hAPP(hAPP(c_member(_u19305), _u19306), hAPP(c_List_Oset(_u19305), _u19308))) )).
% 27.71/27.96 cnf(matrix-7665, plain, ( hBOOL(hAPP(hAPP(c_member(_u19309), _u19310), hAPP(c_List_Oset(_u19309), _u19311))) | ( hAPP(c_Map_Omap__upds(_u19309, _u19312, _u19313, _u19311, _u19314), _u19310) = hAPP(_u19313, _u19310)) )).
% 27.71/27.96 cnf(matrix-7666, plain, ( ( hAPP(hAPP(c_List_Otake(_u19315), _u19316), hAPP(hAPP(c_List_Omap(_u19317, _u19315), _u19318), _u19319)) = hAPP(hAPP(c_List_Omap(_u19317, _u19315), _u19318), hAPP(hAPP(c_List_Otake(_u19317), _u19316), _u19319))) )).
% 27.71/27.96 cnf(matrix-7667, plain, ( ( hAPP(hAPP(c_List_Otake(_u19320), hAPP(c_Nat_OSuc, _u19321)), hAPP(hAPP(c_List_Olist_OCons(_u19320), _u19322), _u19323)) = hAPP(hAPP(c_List_Olist_OCons(_u19320), _u19322), hAPP(hAPP(c_List_Otake(_u19320), _u19321), _u19323))) )).
% 27.71/27.96 cnf(matrix-7668, plain, ( ( hAPP(hAPP(c_List_Otake(_u19324), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19325), _u19326)) = hAPP(hAPP(c_List_Olist_OCons(_u19324), _u19325), c_List_Olist_ONil(_u19324))) )).
% 27.71/27.96 cnf(matrix-7669, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19334), _u19336), hAPP(c_List_Oset(_u19334), hAPP(hAPP(c_List_Otake(_u19334), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19338)), _u19340)), _u19342)))) | ( c_Map_Omap__upds(_u19334, _u19338, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19334, tc_Option_Ooption(_u19338)), _u19344), _u19336), hAPP(c_Option_Ooption_OSome(_u19338), _u19346)), _u19342, _u19340) = c_Map_Omap__upds(_u19334, _u19338, _u19344, _u19342, _u19340)) )).
% 27.71/27.96 cnf(matrix-7670, plain, ( hBOOL(hAPP(hAPP(c_member(_u19335), _u19337), hAPP(c_List_Oset(_u19335), hAPP(hAPP(c_List_Otake(_u19335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19339)), _u19341)), _u19343)))) | ( c_Map_Omap__upds(_u19335, _u19339, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19335, tc_Option_Ooption(_u19339)), _u19345), _u19337), hAPP(c_Option_Ooption_OSome(_u19339), _u19347)), _u19343, _u19341) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19335, tc_Option_Ooption(_u19339)), c_Map_Omap__upds(_u19335, _u19339, _u19345, _u19343, _u19341)), _u19337), hAPP(c_Option_Ooption_OSome(_u19339), _u19347))) )).
% 27.71/27.96 cnf(matrix-7671, plain, ( ( c_Map_Odom(_u19348, _u19349, c_Map_Omap__upds(_u19348, _u19349, _u19350, _u19351, _u19352)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19348, tc_HOL_Obool)), hAPP(c_List_Oset(_u19348), hAPP(hAPP(c_List_Otake(_u19348), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19349)), _u19352)), _u19351))), c_Map_Odom(_u19348, _u19349, _u19350))) )).
% 27.71/27.96 cnf(matrix-7672, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19353)), _u19354)), _u19355)) | ( hAPP(hAPP(c_List_Otake(_u19353), _u19355), _u19354) = _u19354) )).
% 27.71/27.96 cnf(matrix-7673, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19356)), hAPP(hAPP(c_List_Otake(_u19356), _u19357), _u19358)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19356)), _u19358)), _u19357)) )).
% 27.71/27.96 cnf(matrix-7674, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19359), _u19360)) | ( hAPP(hAPP(c_List_Onth(_u19361), hAPP(hAPP(c_List_Otake(_u19361), _u19360), _u19362)), _u19359) = hAPP(hAPP(c_List_Onth(_u19361), _u19362), _u19359)) )).
% 27.71/27.96 cnf(matrix-7675, plain, ( ( c_Map_Omap__upds(_u19363, _u19364, _u19365, hAPP(hAPP(c_List_Olist_OCons(_u19363), _u19366), _u19367), hAPP(hAPP(c_List_Olist_OCons(_u19364), _u19368), _u19369)) = c_Map_Omap__upds(_u19363, _u19364, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19363, tc_Option_Ooption(_u19364)), _u19365), _u19366), hAPP(c_Option_Ooption_OSome(_u19364), _u19368)), _u19367, _u19369)) )).
% 27.71/27.96 cnf(matrix-7676, plain, ( ( hAPP(hAPP(c_List_Otake(_u19370), _u19371), hAPP(hAPP(c_List_Olist_OCons(_u19370), _u19372), _u19373)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u19370), c_List_Olist_ONil(_u19370), hAPP(hAPP(c_COMBB(tc_List_Olist(_u19370), tc_List_Olist(_u19370), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u19370), _u19372)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u19370), tc_List_Olist(_u19370)), c_List_Otake(_u19370)), _u19373)), _u19371)) )).
% 27.71/27.96 cnf(matrix-7677, plain, ( ( _u19378 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19380), _u19378), hAPP(hAPP(c_List_Olist_OCons(_u19380), _u19382), _u19384)) = c_List_Olist_ONil(_u19380)) )).
% 27.71/27.96 cnf(matrix-7678, plain, ( ( _u19379 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19381), _u19379), hAPP(hAPP(c_List_Olist_OCons(_u19381), _u19383), _u19385)) = hAPP(hAPP(c_List_Olist_OCons(_u19381), _u19383), hAPP(hAPP(c_List_Otake(_u19381), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19379), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19385))) )).
% 27.71/27.96 cnf(matrix-7679, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19386)), _u19387)), _u19388)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19388), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19389)), _u19390))) | ( c_Map_Omap__upds(_u19386, _u19389, _u19391, _u19387, hAPP(hAPP(c_List_Olist__update(_u19389, _u19390), _u19388), _u19392)) = c_Map_Omap__upds(_u19386, _u19389, _u19391, _u19387, _u19390)) )).
% 27.71/27.96 cnf(matrix-7680, plain, ( hBOOL(hAPP(hAPP(c_member(_u19393), _u19394), hAPP(c_List_Oset(_u19393), _u19395))) | ( c_Map_Omap__upds(_u19393, _u19396, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19393, tc_Option_Ooption(_u19396)), _u19397), _u19394), hAPP(c_Option_Ooption_OSome(_u19396), _u19398)), _u19395, _u19399) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u19393, tc_Option_Ooption(_u19396)), c_Map_Omap__upds(_u19393, _u19396, _u19397, _u19395, _u19399)), _u19394), hAPP(c_Option_Ooption_OSome(_u19396), _u19398))) )).
% 27.71/27.96 cnf(matrix-7681, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19404) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19406), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19404)), hAPP(hAPP(c_List_Olist_OCons(_u19406), _u19408), _u19410)) = c_List_Olist_ONil(_u19406)) )).
% 27.71/27.96 cnf(matrix-7682, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19405) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u19407), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19405)), hAPP(hAPP(c_List_Olist_OCons(_u19407), _u19409), _u19411)) = hAPP(hAPP(c_List_Olist_OCons(_u19407), _u19409), hAPP(hAPP(c_List_Otake(_u19407), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19405)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19411))) )).
% 27.71/27.96 cnf(matrix-7683, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19412)), _u19413) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19414)), _u19415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19412, tc_HOL_Obool)), hAPP(c_List_Oset(_u19412), _u19413)), _u19416)) | ( c_Map_Orestrict__map(_u19412, _u19414, c_Map_Omap__upds(_u19412, _u19414, _u19417, _u19413, _u19415), _u19416) = c_Map_Omap__upds(_u19412, _u19414, c_Map_Orestrict__map(_u19412, _u19414, _u19417, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19412, tc_HOL_Obool)), _u19416), hAPP(c_List_Oset(_u19412), _u19413))), _u19413, _u19415)) )).
% 27.71/27.96 cnf(matrix-7684, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19418), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19419)), _u19420))) | ( hAPP(hAPP(c_List_Otake(_u19419), hAPP(c_Nat_OSuc, _u19418)), _u19420) = hAPP(hAPP(c_List_Oappend(_u19419), hAPP(hAPP(c_List_Otake(_u19419), _u19418), _u19420)), hAPP(hAPP(c_List_Olist_OCons(_u19419), hAPP(hAPP(c_List_Onth(_u19419), _u19420), _u19418)), c_List_Olist_ONil(_u19419)))) )).
% 27.71/27.96 cnf(matrix-7685, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19427), tc_List_Olist(_u19427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19427), tc_List_Olist(_u19427)), hAPP(hAPP(c_List_Oappend(_u19427), _u19429), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19431), c_List_Olist_ONil(_u19427)))), hAPP(hAPP(c_List_Oappend(_u19427), _u19433), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19435), c_List_Olist_ONil(_u19427))))), c_List_Olistrel1(_u19427, _u19437))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19427), tc_List_Olist(_u19427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19427), tc_List_Olist(_u19427)), _u19429), _u19433)), c_List_Olistrel1(_u19427, _u19437))) | ( _u19429 = _u19433) )).
% 27.71/27.96 cnf(matrix-7686, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19427), tc_List_Olist(_u19427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19427), tc_List_Olist(_u19427)), hAPP(hAPP(c_List_Oappend(_u19427), _u19429), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19431), c_List_Olist_ONil(_u19427)))), hAPP(hAPP(c_List_Oappend(_u19427), _u19433), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19435), c_List_Olist_ONil(_u19427))))), c_List_Olistrel1(_u19427, _u19437))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19427), tc_List_Olist(_u19427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19427), tc_List_Olist(_u19427)), _u19429), _u19433)), c_List_Olistrel1(_u19427, _u19437))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19427, _u19427)), hAPP(hAPP(c_Product__Type_OPair(_u19427, _u19427), _u19431), _u19435)), _u19437)) )).
% 27.71/27.96 cnf(matrix-7687, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19427), tc_List_Olist(_u19427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19427), tc_List_Olist(_u19427)), hAPP(hAPP(c_List_Oappend(_u19427), _u19429), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19431), c_List_Olist_ONil(_u19427)))), hAPP(hAPP(c_List_Oappend(_u19427), _u19433), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19435), c_List_Olist_ONil(_u19427))))), c_List_Olistrel1(_u19427, _u19437))) | ( _u19431 = _u19435) | ( _u19429 = _u19433) )).
% 27.71/27.96 cnf(matrix-7688, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19427), tc_List_Olist(_u19427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19427), tc_List_Olist(_u19427)), hAPP(hAPP(c_List_Oappend(_u19427), _u19429), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19431), c_List_Olist_ONil(_u19427)))), hAPP(hAPP(c_List_Oappend(_u19427), _u19433), hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19435), c_List_Olist_ONil(_u19427))))), c_List_Olistrel1(_u19427, _u19437))) | ( _u19431 = _u19435) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19427, _u19427)), hAPP(hAPP(c_Product__Type_OPair(_u19427, _u19427), _u19431), _u19435)), _u19437)) )).
% 27.71/27.96 cnf(matrix-7689, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19428), tc_List_Olist(_u19428))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19428), tc_List_Olist(_u19428)), hAPP(hAPP(c_List_Oappend(_u19428), _u19430), hAPP(hAPP(c_List_Olist_OCons(_u19428), _u19432), c_List_Olist_ONil(_u19428)))), hAPP(hAPP(c_List_Oappend(_u19428), _u19434), hAPP(hAPP(c_List_Olist_OCons(_u19428), _u19436), c_List_Olist_ONil(_u19428))))), c_List_Olistrel1(_u19428, _u19438))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19428), tc_List_Olist(_u19428))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19428), tc_List_Olist(_u19428)), _u19430), _u19434)), c_List_Olistrel1(_u19428, _u19438))) | ( _u19432 != _u19436) )).
% 27.71/27.96 cnf(matrix-7690, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19428), tc_List_Olist(_u19428))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19428), tc_List_Olist(_u19428)), hAPP(hAPP(c_List_Oappend(_u19428), _u19430), hAPP(hAPP(c_List_Olist_OCons(_u19428), _u19432), c_List_Olist_ONil(_u19428)))), hAPP(hAPP(c_List_Oappend(_u19428), _u19434), hAPP(hAPP(c_List_Olist_OCons(_u19428), _u19436), c_List_Olist_ONil(_u19428))))), c_List_Olistrel1(_u19428, _u19438))) | ( _u19430 != _u19434) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19428, _u19428)), hAPP(hAPP(c_Product__Type_OPair(_u19428, _u19428), _u19432), _u19436)), _u19438)) )).
% 27.71/27.96 cnf(matrix-7691, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19440), tc_List_Olist(_u19440))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19440), tc_List_Olist(_u19440)), hAPP(hAPP(c_List_Oappend(_u19440), _u19441), _u19442)), hAPP(hAPP(c_List_Oappend(_u19440), _u19441), _u19443))), c_List_Olexord(_u19440, _u19444))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19440, _u19440)), hAPP(hAPP(c_Product__Type_OPair(_u19440, _u19440), skolem472(_u19444, _u19443, _u19442, _u19441, _u19440)), skolem472(_u19444, _u19443, _u19442, _u19441, _u19440))), _u19444)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19440), tc_List_Olist(_u19440))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19440), tc_List_Olist(_u19440)), _u19442), _u19443)), c_List_Olexord(_u19440, _u19444))) )).
% 27.71/27.96 cnf(matrix-7692, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19445), _u19446), c_Wellfounded_Oacc(_u19445, _u19447))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19445)), _u19448), c_Wellfounded_Oacc(tc_List_Olist(_u19445), c_List_Olistrel1(_u19445, _u19447)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19445)), hAPP(hAPP(c_List_Olist_OCons(_u19445), _u19446), _u19448)), c_Wellfounded_Oacc(tc_List_Olist(_u19445), c_List_Olistrel1(_u19445, _u19447)))) )).
% 27.71/27.96 cnf(matrix-7693, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19449), tc_List_Olist(_u19449)), tc_HOL_Obool)), c_List_Olistrel(_u19449, _u19450)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19449), c_List_Olistrel1(_u19449, _u19450)))) )).
% 27.71/27.96 cnf(matrix-7694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19451, _u19451), tc_HOL_Obool)), _u19452), _u19453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19451), tc_List_Olist(_u19451)), tc_HOL_Obool)), c_List_Olistrel1(_u19451, _u19452)), c_List_Olistrel1(_u19451, _u19453))) )).
% 27.71/27.96 cnf(matrix-7695, plain, ( ( c_List_Olistrel1(_u19454, hAPP(c_Relation_Oconverse(_u19454, _u19454), _u19455)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u19454), tc_List_Olist(_u19454)), c_List_Olistrel1(_u19454, _u19455))) )).
% 27.71/27.96 cnf(matrix-7696, plain, ( ( c_List_Olistrel(_u19456, c_Transitive__Closure_Ortrancl(_u19456, _u19457)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19456), c_List_Olistrel1(_u19456, _u19457))) )).
% 27.71/27.96 cnf(matrix-7697, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19458), tc_List_Olist(_u19458)), tc_HOL_Obool)), c_List_Olistrel1(_u19458, c_Transitive__Closure_Ortrancl(_u19458, _u19459))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19458), c_List_Olistrel1(_u19458, _u19459)))) )).
% 27.71/27.96 cnf(matrix-7698, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19460), tc_List_Olist(_u19460))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19460), tc_List_Olist(_u19460)), _u19461), _u19462)), c_List_Olistrel1(_u19460, _u19463))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19460), tc_List_Olist(_u19460))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19460), tc_List_Olist(_u19460)), hAPP(hAPP(c_List_Olist_OCons(_u19460), _u19464), _u19461)), hAPP(hAPP(c_List_Olist_OCons(_u19460), _u19464), _u19462))), c_List_Olistrel1(_u19460, _u19463))) )).
% 27.71/27.96 cnf(matrix-7699, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19465), tc_List_Olist(_u19465))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19465), tc_List_Olist(_u19465)), _u19466), _u19467)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19465), c_List_Olistrel1(_u19465, _u19468)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19465), tc_List_Olist(_u19465))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19465), tc_List_Olist(_u19465)), hAPP(hAPP(c_List_Olist_OCons(_u19465), _u19469), _u19466)), hAPP(hAPP(c_List_Olist_OCons(_u19465), _u19469), _u19467))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19465), c_List_Olistrel1(_u19465, _u19468)))) )).
% 27.71/27.96 cnf(matrix-7700, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19470), tc_List_Olist(_u19470))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19470), tc_List_Olist(_u19470)), _u19471), _u19472)), c_List_Olistrel1(_u19470, _u19473))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19470)), _u19471) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19470)), _u19472)) )).
% 27.71/27.96 cnf(matrix-7701, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19474), tc_List_Olist(_u19474))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19474), tc_List_Olist(_u19474)), _u19475), _u19476)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19474), c_List_Olistrel1(_u19474, _u19477)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19474)), _u19475) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19474)), _u19476)) )).
% 27.71/27.96 cnf(matrix-7702, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19478), tc_List_Olist(_u19478))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19478), tc_List_Olist(_u19478)), c_List_Olist_ONil(_u19478)), _u19479)), c_List_Olistrel1(_u19478, _u19480))) )).
% 27.71/27.96 cnf(matrix-7703, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19481), tc_List_Olist(_u19481))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19481), tc_List_Olist(_u19481)), _u19482), c_List_Olist_ONil(_u19481))), c_List_Olistrel1(_u19481, _u19483))) )).
% 27.71/27.96 cnf(matrix-7704, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19484), tc_List_Olist(_u19484))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19484), tc_List_Olist(_u19484)), hAPP(hAPP(c_List_Oappend(_u19484), _u19485), _u19488)), hAPP(hAPP(c_List_Oappend(_u19484), _u19486), _u19489))), c_List_Olistrel1(_u19484, _u19487))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19484), tc_List_Olist(_u19484))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19484), tc_List_Olist(_u19484)), _u19485), _u19486)), c_List_Olistrel1(_u19484, _u19487))) | ( _u19488 != _u19489) )).
% 27.71/27.96 cnf(matrix-7705, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19484), tc_List_Olist(_u19484))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19484), tc_List_Olist(_u19484)), hAPP(hAPP(c_List_Oappend(_u19484), _u19485), _u19488)), hAPP(hAPP(c_List_Oappend(_u19484), _u19486), _u19489))), c_List_Olistrel1(_u19484, _u19487))) | ( _u19485 != _u19486) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19484), tc_List_Olist(_u19484))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19484), tc_List_Olist(_u19484)), _u19488), _u19489)), c_List_Olistrel1(_u19484, _u19487))) )).
% 27.71/27.96 cnf(matrix-7706, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19494), tc_List_Olist(_u19494))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19494), tc_List_Olist(_u19494)), _u19496), _u19498)), c_List_Olistrel1(_u19494, hAPP(c_Relation_Oconverse(_u19494, _u19494), _u19500)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19494), tc_List_Olist(_u19494))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19494), tc_List_Olist(_u19494)), _u19496), _u19498)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19494), tc_List_Olist(_u19494)), c_List_Olistrel1(_u19494, _u19500)))) )).
% 27.71/27.96 cnf(matrix-7707, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19495), tc_List_Olist(_u19495))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19495), tc_List_Olist(_u19495)), _u19497), _u19499)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19495), tc_List_Olist(_u19495)), c_List_Olistrel1(_u19495, _u19501)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19495), tc_List_Olist(_u19495))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19495), tc_List_Olist(_u19495)), _u19497), _u19499)), c_List_Olistrel1(_u19495, hAPP(c_Relation_Oconverse(_u19495, _u19495), _u19501)))) )).
% 27.71/27.96 cnf(matrix-7708, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19502), tc_List_Olist(_u19502))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19502), tc_List_Olist(_u19502)), _u19503), _u19504)), c_List_Olistrel(_u19502, _u19505))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19502), tc_List_Olist(_u19502))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19502), tc_List_Olist(_u19502)), _u19503), _u19504)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19502), c_List_Olistrel1(_u19502, _u19505)))) )).
% 27.71/27.96 cnf(matrix-7709, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19506), tc_List_Olist(_u19506))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19506), tc_List_Olist(_u19506)), _u19507), _u19508)), c_List_Olistrel1(_u19506, _u19509))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19506), tc_List_Olist(_u19506))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19506), tc_List_Olist(_u19506)), _u19507), _u19508)), c_List_Olistrel(_u19506, c_Transitive__Closure_Ortrancl(_u19506, _u19509)))) )).
% 27.71/27.96 cnf(matrix-7710, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19516), tc_List_Olist(_u19516))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19516), tc_List_Olist(_u19516)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19518), _u19520)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19522), _u19524))), c_List_Olistrel1(_u19516, _u19526))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19516, _u19516)), hAPP(hAPP(c_Product__Type_OPair(_u19516, _u19516), _u19518), _u19522)), _u19526)) | ( _u19518 = _u19522) )).
% 27.71/27.96 cnf(matrix-7711, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19516), tc_List_Olist(_u19516))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19516), tc_List_Olist(_u19516)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19518), _u19520)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19522), _u19524))), c_List_Olistrel1(_u19516, _u19526))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19516, _u19516)), hAPP(hAPP(c_Product__Type_OPair(_u19516, _u19516), _u19518), _u19522)), _u19526)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19516), tc_List_Olist(_u19516))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19516), tc_List_Olist(_u19516)), _u19520), _u19524)), c_List_Olistrel1(_u19516, _u19526))) )).
% 27.71/27.96 cnf(matrix-7712, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19516), tc_List_Olist(_u19516))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19516), tc_List_Olist(_u19516)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19518), _u19520)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19522), _u19524))), c_List_Olistrel1(_u19516, _u19526))) | ( _u19520 = _u19524) | ( _u19518 = _u19522) )).
% 27.71/27.96 cnf(matrix-7713, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19516), tc_List_Olist(_u19516))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19516), tc_List_Olist(_u19516)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19518), _u19520)), hAPP(hAPP(c_List_Olist_OCons(_u19516), _u19522), _u19524))), c_List_Olistrel1(_u19516, _u19526))) | ( _u19520 = _u19524) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19516), tc_List_Olist(_u19516))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19516), tc_List_Olist(_u19516)), _u19520), _u19524)), c_List_Olistrel1(_u19516, _u19526))) )).
% 27.71/27.96 cnf(matrix-7714, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19517), tc_List_Olist(_u19517))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19517), tc_List_Olist(_u19517)), hAPP(hAPP(c_List_Olist_OCons(_u19517), _u19519), _u19521)), hAPP(hAPP(c_List_Olist_OCons(_u19517), _u19523), _u19525))), c_List_Olistrel1(_u19517, _u19527))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19517, _u19517)), hAPP(hAPP(c_Product__Type_OPair(_u19517, _u19517), _u19519), _u19523)), _u19527)) | ( _u19521 != _u19525) )).
% 27.71/27.96 cnf(matrix-7715, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19517), tc_List_Olist(_u19517))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19517), tc_List_Olist(_u19517)), hAPP(hAPP(c_List_Olist_OCons(_u19517), _u19519), _u19521)), hAPP(hAPP(c_List_Olist_OCons(_u19517), _u19523), _u19525))), c_List_Olistrel1(_u19517, _u19527))) | ( _u19519 != _u19523) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19517), tc_List_Olist(_u19517))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19517), tc_List_Olist(_u19517)), _u19521), _u19525)), c_List_Olistrel1(_u19517, _u19527))) )).
% 27.71/27.96 cnf(matrix-7716, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19528, _u19528)), hAPP(hAPP(c_Product__Type_OPair(_u19528, _u19528), _u19529), _u19530)), _u19531)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19528), tc_List_Olist(_u19528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19528), tc_List_Olist(_u19528)), hAPP(hAPP(c_List_Olist_OCons(_u19528), _u19529), _u19532)), hAPP(hAPP(c_List_Olist_OCons(_u19528), _u19530), _u19532))), c_List_Olistrel1(_u19528, _u19531))) )).
% 27.71/27.96 cnf(matrix-7717, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19533, _u19533), tc_HOL_Obool)), _u19534), _u19535)) | ~c_Relation_Orefl__on(_u19533, c_Orderings_Otop__class_Otop(tc_fun(_u19533, tc_HOL_Obool)), _u19535) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19533), tc_List_Olist(_u19533)), tc_HOL_Obool)), c_List_Olistrel1(_u19533, _u19534)), c_List_Olistrel(_u19533, _u19535))) )).
% 27.71/27.96 cnf(matrix-7718, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19536, _u19536)), hAPP(hAPP(c_Product__Type_OPair(_u19536, _u19536), _u19537), _u19538)), _u19539)) | ( _u19540 != hAPP(hAPP(c_List_Oappend(_u19536), _u19541), hAPP(hAPP(c_List_Olist_OCons(_u19536), _u19537), _u19542))) | ( _u19543 != hAPP(hAPP(c_List_Oappend(_u19536), _u19541), hAPP(hAPP(c_List_Olist_OCons(_u19536), _u19538), _u19542))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19536), tc_List_Olist(_u19536))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19536), tc_List_Olist(_u19536)), _u19540), _u19543)), c_List_Olistrel1(_u19536, _u19539))) )).
% 27.71/27.96 cnf(matrix-7719, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19544, _u19544)), hAPP(hAPP(c_Product__Type_OPair(_u19544, _u19544), _u19545), _u19546)), c_Transitive__Closure_Ortrancl(_u19544, _u19547))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19544), tc_List_Olist(_u19544))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19544), tc_List_Olist(_u19544)), _u19548), _u19549)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19544), c_List_Olistrel1(_u19544, _u19547)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19544), tc_List_Olist(_u19544))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19544), tc_List_Olist(_u19544)), hAPP(hAPP(c_List_Olist_OCons(_u19544), _u19545), _u19548)), hAPP(hAPP(c_List_Olist_OCons(_u19544), _u19546), _u19549))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19544), c_List_Olistrel1(_u19544, _u19547)))) )).
% 27.71/27.96 cnf(matrix-7720, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19558), tc_List_Olist(_u19558))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19558), tc_List_Olist(_u19558)), _u19560), _u19562)), c_List_Olistrel1(_u19558, _u19564))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19558, _u19558)), hAPP(hAPP(c_Product__Type_OPair(_u19558, _u19558), hAPP(hAPP(c_List_Onth(_u19558), _u19560), skolem474(_u19564, _u19562, _u19560, _u19558))), skolem473(_u19564, _u19562, _u19560, _u19558))), _u19564)) )).
% 27.71/27.96 cnf(matrix-7721, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19558), tc_List_Olist(_u19558))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19558), tc_List_Olist(_u19558)), _u19560), _u19562)), c_List_Olistrel1(_u19558, _u19564))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem474(_u19564, _u19562, _u19560, _u19558)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19558)), _u19560))) )).
% 27.71/27.96 cnf(matrix-7722, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19558), tc_List_Olist(_u19558))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19558), tc_List_Olist(_u19558)), _u19560), _u19562)), c_List_Olistrel1(_u19558, _u19564))) | ( _u19562 = hAPP(hAPP(c_List_Olist__update(_u19558, _u19560), skolem474(_u19564, _u19562, _u19560, _u19558)), skolem473(_u19564, _u19562, _u19560, _u19558))) )).
% 27.71/27.96 cnf(matrix-7723, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19559, _u19559)), hAPP(hAPP(c_Product__Type_OPair(_u19559, _u19559), hAPP(hAPP(c_List_Onth(_u19559), _u19561), _u19552)), _u19553)), _u19565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19552), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19559)), _u19561))) | ( _u19563 != hAPP(hAPP(c_List_Olist__update(_u19559, _u19561), _u19552), _u19553)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19559), tc_List_Olist(_u19559))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19559), tc_List_Olist(_u19559)), _u19561), _u19563)), c_List_Olistrel1(_u19559, _u19565))) )).
% 27.71/27.96 cnf(matrix-7724, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19570), tc_List_Olist(_u19570))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19570), tc_List_Olist(_u19570)), _u19571), _u19572)), c_List_Olistrel1(_u19570, _u19573))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19570, _u19570)), hAPP(hAPP(c_Product__Type_OPair(_u19570, _u19570), skolem475(_u19573, _u19572, _u19571, _u19570)), skolem476(_u19573, _u19572, _u19571, _u19570))), _u19573)) )).
% 27.71/27.96 cnf(matrix-7725, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19570), tc_List_Olist(_u19570))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19570), tc_List_Olist(_u19570)), _u19571), _u19572)), c_List_Olistrel1(_u19570, _u19573))) | ( _u19571 = hAPP(hAPP(c_List_Oappend(_u19570), skolem477(_u19573, _u19572, _u19571, _u19570)), hAPP(hAPP(c_List_Olist_OCons(_u19570), skolem475(_u19573, _u19572, _u19571, _u19570)), skolem478(_u19573, _u19572, _u19571, _u19570)))) )).
% 27.71/27.96 cnf(matrix-7726, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19570), tc_List_Olist(_u19570))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19570), tc_List_Olist(_u19570)), _u19571), _u19572)), c_List_Olistrel1(_u19570, _u19573))) | ( _u19572 = hAPP(hAPP(c_List_Oappend(_u19570), skolem477(_u19573, _u19572, _u19571, _u19570)), hAPP(hAPP(c_List_Olist_OCons(_u19570), skolem476(_u19573, _u19572, _u19571, _u19570)), skolem478(_u19573, _u19572, _u19571, _u19570)))) )).
% 27.71/27.96 cnf(matrix-7727, plain, ( ( hAPP(c_List_Orotate1(_u19574), _u19575) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u19574), _u19574, c_List_Olist_ONil(_u19574), hAPP(hAPP(c_COMBB(tc_List_Olist(_u19574), tc_fun(tc_List_Olist(_u19574), tc_List_Olist(_u19574)), _u19574), hAPP(c_COMBC(tc_List_Olist(_u19574), tc_List_Olist(_u19574), tc_List_Olist(_u19574)), c_List_Oappend(_u19574))), hAPP(hAPP(c_COMBC(_u19574, tc_List_Olist(_u19574), tc_List_Olist(_u19574)), c_List_Olist_OCons(_u19574)), c_List_Olist_ONil(_u19574)))), _u19575)) )).
% 27.71/27.96 cnf(matrix-7728, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19576), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19577)), _u19578))) | ( hAPP(hAPP(c_List_Olist__update(_u19577, _u19578), _u19576), _u19579) = hAPP(hAPP(c_List_Oappend(_u19577), hAPP(hAPP(c_List_Otake(_u19577), _u19576), _u19578)), hAPP(hAPP(c_List_Olist_OCons(_u19577), _u19579), hAPP(hAPP(c_List_Odrop(_u19577), hAPP(c_Nat_OSuc, _u19576)), _u19578)))) )).
% 27.71/27.96 cnf(matrix-7729, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19584), _u19586), _u19588) != _u19590) | ( _u19586 = hAPP(hAPP(c_List_Otake(_u19584), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19584)), _u19586)), _u19590)) )).
% 27.71/27.96 cnf(matrix-7730, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19584), _u19586), _u19588) != _u19590) | ( _u19588 = hAPP(hAPP(c_List_Odrop(_u19584), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19584)), _u19586)), _u19590)) )).
% 27.71/27.96 cnf(matrix-7731, plain, ( ( _u19587 != hAPP(hAPP(c_List_Otake(_u19585), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19585)), _u19587)), _u19591)) | ( _u19589 != hAPP(hAPP(c_List_Odrop(_u19585), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19585)), _u19587)), _u19591)) | ( hAPP(hAPP(c_List_Oappend(_u19585), _u19587), _u19589) = _u19591) )).
% 27.71/27.96 cnf(matrix-7732, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19592), _u19593), hAPP(hAPP(c_List_Oappend(_u19592), _u19594), _u19595)) = hAPP(hAPP(c_List_Oappend(_u19592), hAPP(hAPP(c_List_Odrop(_u19592), _u19593), _u19594)), hAPP(hAPP(c_List_Odrop(_u19592), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19593), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19592)), _u19594))), _u19595))) )).
% 27.71/27.96 cnf(matrix-7733, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19596), _u19597), _u19598) != hAPP(hAPP(c_List_Olist_OCons(_u19596), _u19599), _u19600)) | ( hAPP(hAPP(c_List_Onth(_u19596), _u19598), _u19597) = _u19599) )).
% 27.71/27.96 cnf(matrix-7734, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19601)), hAPP(hAPP(c_List_Odrop(_u19601), _u19602), _u19603)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19601)), _u19603)), _u19602)) )).
% 27.71/27.96 cnf(matrix-7735, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), hAPP(c_List_Orotate1(_u19604), _u19605)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19604)), _u19605)) )).
% 27.71/27.96 cnf(matrix-7736, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19606), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u19606), _u19607), _u19608)) = _u19608) )).
% 27.71/27.96 cnf(matrix-7737, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19609), hAPP(c_Nat_OSuc, _u19610)), hAPP(hAPP(c_List_Olist_OCons(_u19609), _u19611), _u19612)) = hAPP(hAPP(c_List_Odrop(_u19609), _u19610), _u19612)) )).
% 27.71/27.96 cnf(matrix-7738, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19613), _u19614), hAPP(hAPP(c_List_Omap(_u19615, _u19613), _u19616), _u19617)) = hAPP(hAPP(c_List_Omap(_u19615, _u19613), _u19616), hAPP(hAPP(c_List_Odrop(_u19615), _u19614), _u19617))) )).
% 27.71/27.96 cnf(matrix-7739, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19618), _u19619), hAPP(c_List_Oset(_u19618), hAPP(hAPP(c_List_Odrop(_u19618), _u19620), _u19621)))) | hBOOL(hAPP(hAPP(c_member(_u19618), _u19619), hAPP(c_List_Oset(_u19618), _u19621))) )).
% 27.71/27.96 cnf(matrix-7740, plain, ( ( hAPP(c_List_Oset(_u19622), hAPP(c_List_Orotate1(_u19622), _u19623)) = hAPP(c_List_Oset(_u19622), _u19623)) )).
% 27.71/27.96 cnf(matrix-7741, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19624, tc_HOL_Obool)), hAPP(c_List_Oset(_u19624), hAPP(hAPP(c_List_Odrop(_u19624), _u19625), _u19626))), hAPP(c_List_Oset(_u19624), _u19626))) )).
% 27.71/27.96 cnf(matrix-7742, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19627), _u19628)) | hBOOL(hAPP(c_List_Odistinct(_u19627), hAPP(hAPP(c_List_Odrop(_u19627), _u19629), _u19628))) )).
% 27.71/27.96 cnf(matrix-7743, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19632), hAPP(c_List_Orotate1(_u19632), _u19634))) | hBOOL(hAPP(c_List_Odistinct(_u19632), _u19634)) )).
% 27.71/27.96 cnf(matrix-7744, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19633), _u19635)) | hBOOL(hAPP(c_List_Odistinct(_u19633), hAPP(c_List_Orotate1(_u19633), _u19635))) )).
% 27.71/27.96 cnf(matrix-7745, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19636), _u19637), hAPP(hAPP(c_List_Odrop(_u19636), _u19638), _u19639)) = hAPP(hAPP(c_List_Odrop(_u19636), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19637), _u19638)), _u19639)) )).
% 27.71/27.96 cnf(matrix-7746, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19640), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u19641) = _u19641) )).
% 27.71/27.96 cnf(matrix-7747, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u19642, _u19643)), _u19644), hAPP(hAPP(c_List_Ozip(_u19642, _u19643), _u19645), _u19646)) = hAPP(hAPP(c_List_Ozip(_u19642, _u19643), hAPP(hAPP(c_List_Odrop(_u19642), _u19644), _u19645)), hAPP(hAPP(c_List_Odrop(_u19643), _u19644), _u19646))) )).
% 27.71/27.96 cnf(matrix-7748, plain, ( ( hAPP(c_List_Orotate1(_u19649), _u19651) != c_List_Olist_ONil(_u19649)) | ( _u19651 = c_List_Olist_ONil(_u19649)) )).
% 27.71/27.96 cnf(matrix-7749, plain, ( ( _u19652 != c_List_Olist_ONil(_u19650)) | ( hAPP(c_List_Orotate1(_u19650), _u19652) = c_List_Olist_ONil(_u19650)) )).
% 27.71/27.96 cnf(matrix-7750, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19653), _u19654), c_List_Olist_ONil(_u19653)) = c_List_Olist_ONil(_u19653)) )).
% 27.71/27.96 cnf(matrix-7751, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19658), _u19660), _u19662) != c_List_Olist_ONil(_u19658)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19658)), _u19662)), _u19660)) )).
% 27.71/27.96 cnf(matrix-7752, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19659)), _u19663)), _u19661)) | ( hAPP(hAPP(c_List_Odrop(_u19659), _u19661), _u19663) = c_List_Olist_ONil(_u19659)) )).
% 27.71/27.96 cnf(matrix-7753, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19664)), _u19665)), _u19666)) | ( hAPP(hAPP(c_List_Odrop(_u19664), _u19666), _u19665) = c_List_Olist_ONil(_u19664)) )).
% 27.71/27.96 cnf(matrix-7754, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19667), _u19668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19669, tc_HOL_Obool)), hAPP(c_List_Oset(_u19669), hAPP(hAPP(c_List_Odrop(_u19669), _u19668), _u19670))), hAPP(c_List_Oset(_u19669), hAPP(hAPP(c_List_Odrop(_u19669), _u19667), _u19670)))) )).
% 27.71/27.96 cnf(matrix-7755, plain, ( ( hAPP(hAPP(c_List_Otake(_u19671), _u19672), hAPP(hAPP(c_List_Odrop(_u19671), _u19673), _u19674)) = hAPP(hAPP(c_List_Odrop(_u19671), _u19673), hAPP(hAPP(c_List_Otake(_u19671), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19672), _u19673)), _u19674))) )).
% 27.71/27.96 cnf(matrix-7756, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19675), _u19676), hAPP(hAPP(c_List_Otake(_u19675), _u19677), _u19678)) = hAPP(hAPP(c_List_Otake(_u19675), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19677), _u19676)), hAPP(hAPP(c_List_Odrop(_u19675), _u19676), _u19678))) )).
% 27.71/27.96 cnf(matrix-7757, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19679), hAPP(hAPP(c_List_Otake(_u19679), _u19680), _u19681)), hAPP(hAPP(c_List_Odrop(_u19679), _u19680), _u19681)) = _u19681) )).
% 27.71/27.96 cnf(matrix-7758, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19682), _u19683), hAPP(hAPP(c_List_Olist_OCons(_u19682), _u19684), _u19685)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u19682), hAPP(hAPP(c_List_Olist_OCons(_u19682), _u19684), _u19685), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u19682), tc_List_Olist(_u19682)), c_List_Odrop(_u19682)), _u19685), _u19683)) )).
% 27.71/27.96 cnf(matrix-7759, plain, ( ( _u19690 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19692), _u19690), hAPP(hAPP(c_List_Olist_OCons(_u19692), _u19694), _u19696)) = hAPP(hAPP(c_List_Olist_OCons(_u19692), _u19694), _u19696)) )).
% 27.71/27.96 cnf(matrix-7760, plain, ( ( _u19691 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19693), _u19691), hAPP(hAPP(c_List_Olist_OCons(_u19693), _u19695), _u19697)) = hAPP(hAPP(c_List_Odrop(_u19693), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19691), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19697)) )).
% 27.71/27.96 cnf(matrix-7761, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19698), _u19699)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19700)), _u19701))) | ( hAPP(hAPP(c_List_Onth(_u19700), hAPP(hAPP(c_List_Odrop(_u19700), _u19698), _u19701)), _u19699) = hAPP(hAPP(c_List_Onth(_u19700), _u19701), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19698), _u19699))) )).
% 27.71/27.96 cnf(matrix-7762, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19707), _u19709), _u19711) != hAPP(hAPP(c_List_Oappend(_u19707), _u19713), _u19715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19713))) | ( _u19709 = hAPP(hAPP(c_List_Otake(_u19707), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19709)), _u19713)) )).
% 27.71/27.96 cnf(matrix-7763, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19707), _u19709), _u19711) != hAPP(hAPP(c_List_Oappend(_u19707), _u19713), _u19715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19713))) | ( _u19711 = hAPP(hAPP(c_List_Oappend(_u19707), hAPP(hAPP(c_List_Odrop(_u19707), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19709)), _u19713)), _u19715)) )).
% 27.71/27.96 cnf(matrix-7764, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19707), _u19709), _u19711) != hAPP(hAPP(c_List_Oappend(_u19707), _u19713), _u19715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19713))) | ( hAPP(hAPP(c_List_Otake(_u19707), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19713)), _u19709) = _u19713) )).
% 27.71/27.96 cnf(matrix-7765, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19707), _u19709), _u19711) != hAPP(hAPP(c_List_Oappend(_u19707), _u19713), _u19715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19713))) | ( hAPP(hAPP(c_List_Oappend(_u19707), hAPP(hAPP(c_List_Odrop(_u19707), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19707)), _u19713)), _u19709)), _u19711) = _u19715) )).
% 27.71/27.96 cnf(matrix-7766, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19708), _u19710), _u19712) = hAPP(hAPP(c_List_Oappend(_u19708), _u19714), _u19716)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19710)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19714))) | ( hAPP(hAPP(c_List_Otake(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19714)), _u19710) != _u19714) | ( hAPP(hAPP(c_List_Oappend(_u19708), hAPP(hAPP(c_List_Odrop(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19714)), _u19710)), _u19712) != _u19716) )).
% 27.71/27.96 cnf(matrix-7767, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19708), _u19710), _u19712) = hAPP(hAPP(c_List_Oappend(_u19708), _u19714), _u19716)) | ( _u19710 != hAPP(hAPP(c_List_Otake(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19710)), _u19714)) | ( _u19712 != hAPP(hAPP(c_List_Oappend(_u19708), hAPP(hAPP(c_List_Odrop(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19710)), _u19714)), _u19716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19710)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19714))) )).
% 27.71/27.96 cnf(matrix-7768, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19708), _u19710), _u19712) = hAPP(hAPP(c_List_Oappend(_u19708), _u19714), _u19716)) | ( _u19710 != hAPP(hAPP(c_List_Otake(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19710)), _u19714)) | ( _u19712 != hAPP(hAPP(c_List_Oappend(_u19708), hAPP(hAPP(c_List_Odrop(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19710)), _u19714)), _u19716)) | ( hAPP(hAPP(c_List_Otake(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19714)), _u19710) != _u19714) | ( hAPP(hAPP(c_List_Oappend(_u19708), hAPP(hAPP(c_List_Odrop(_u19708), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19708)), _u19714)), _u19710)), _u19712) != _u19716) )).
% 27.71/27.96 cnf(matrix-7769, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19717), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19718)), _u19719))) | ( hAPP(hAPP(c_List_Olist_OCons(_u19718), hAPP(hAPP(c_List_Onth(_u19718), _u19719), _u19717)), hAPP(hAPP(c_List_Odrop(_u19718), hAPP(c_Nat_OSuc, _u19717)), _u19719)) = hAPP(hAPP(c_List_Odrop(_u19718), _u19717), _u19719)) )).
% 27.71/27.96 cnf(matrix-7770, plain, ( ( hAPP(c_List_Orotate1(_u19720), c_List_Olist_ONil(_u19720)) = c_List_Olist_ONil(_u19720)) )).
% 27.71/27.96 cnf(matrix-7771, plain, ( ( hAPP(c_List_Orotate1(_u19721), hAPP(hAPP(c_List_Olist_OCons(_u19721), _u19722), _u19723)) = hAPP(hAPP(c_List_Oappend(_u19721), _u19723), hAPP(hAPP(c_List_Olist_OCons(_u19721), _u19722), c_List_Olist_ONil(_u19721)))) )).
% 27.71/27.96 cnf(matrix-7772, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19728) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19730), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19728)), hAPP(hAPP(c_List_Olist_OCons(_u19730), _u19732), _u19734)) = hAPP(hAPP(c_List_Olist_OCons(_u19730), _u19732), _u19734)) )).
% 27.71/27.96 cnf(matrix-7773, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19729) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19731), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19729)), hAPP(hAPP(c_List_Olist_OCons(_u19731), _u19733), _u19735)) = hAPP(hAPP(c_List_Odrop(_u19731), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19729)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19735)) )).
% 27.71/27.96 cnf(matrix-7774, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19736), _u19737)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19738)), _u19739))) | ( hAPP(hAPP(c_List_Otake(_u19738), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19736), _u19737)), _u19739) = hAPP(hAPP(c_List_Oappend(_u19738), hAPP(hAPP(c_List_Otake(_u19738), _u19736), _u19739)), hAPP(hAPP(c_List_Otake(_u19738), _u19737), hAPP(hAPP(c_List_Odrop(_u19738), _u19736), _u19739)))) )).
% 27.71/27.96 cnf(matrix-7775, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19740)), _u19741)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u19740), _u19741) = _u19741) )).
% 27.71/27.96 cnf(matrix-7776, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19742, _u19743), _u19744), hAPP(hAPP(c_List_Oappend(_u19743), _u19745), _u19746)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u19742, _u19743)), hAPP(hAPP(c_List_Ozip(_u19742, _u19743), hAPP(hAPP(c_List_Otake(_u19742), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19743)), _u19745)), _u19744)), _u19745)), hAPP(hAPP(c_List_Ozip(_u19742, _u19743), hAPP(hAPP(c_List_Odrop(_u19742), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19743)), _u19745)), _u19744)), _u19746))) )).
% 27.71/27.96 cnf(matrix-7777, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19747, _u19748), hAPP(hAPP(c_List_Oappend(_u19747), _u19749), _u19750)), _u19751) = hAPP(hAPP(c_List_Oappend(tc_prod(_u19747, _u19748)), hAPP(hAPP(c_List_Ozip(_u19747, _u19748), _u19749), hAPP(hAPP(c_List_Otake(_u19748), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19747)), _u19749)), _u19751))), hAPP(hAPP(c_List_Ozip(_u19747, _u19748), _u19750), hAPP(hAPP(c_List_Odrop(_u19748), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19747)), _u19749)), _u19751)))) )).
% 27.71/27.96 cnf(matrix-7778, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19752), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19753)), _u19754))) | ( _u19754 = hAPP(hAPP(c_List_Oappend(_u19753), hAPP(hAPP(c_List_Otake(_u19753), _u19752), _u19754)), hAPP(hAPP(c_List_Olist_OCons(_u19753), hAPP(hAPP(c_List_Onth(_u19753), _u19754), _u19752)), hAPP(hAPP(c_List_Odrop(_u19753), hAPP(c_Nat_OSuc, _u19752)), _u19754)))) )).
% 27.71/27.96 cnf(matrix-7779, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19755), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19756)), _u19757))) | ( hAPP(hAPP(c_List_Oappend(_u19756), hAPP(hAPP(c_List_Otake(_u19756), _u19755), _u19757)), hAPP(hAPP(c_List_Olist_OCons(_u19756), hAPP(c_List_Ohd(_u19756), hAPP(hAPP(c_List_Odrop(_u19756), _u19755), _u19757))), c_List_Olist_ONil(_u19756))) = hAPP(hAPP(c_List_Otake(_u19756), hAPP(c_Nat_OSuc, _u19755)), _u19757)) )).
% 27.71/27.96 cnf(matrix-7780, plain, ( ( _u19758 = c_List_Olist_ONil(_u19759)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19760), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19759)), _u19758))) | ( hAPP(c_List_Ohd(_u19759), hAPP(hAPP(c_List_Odrop(_u19759), _u19760), _u19758)) = hAPP(hAPP(c_List_Onth(_u19759), _u19758), _u19760)) )).
% 27.71/27.96 cnf(matrix-7781, plain, ( ( _u19761 = c_List_Olist_ONil(_u19762)) | ( hAPP(c_List_Ohd(_u19763), hAPP(hAPP(c_List_Omap(_u19762, _u19763), _u19764), _u19761)) = hAPP(_u19764, hAPP(c_List_Ohd(_u19762), _u19761))) )).
% 27.71/27.96 cnf(matrix-7782, plain, ( ( hAPP(c_List_Ohd(_u19765), hAPP(hAPP(c_List_Olist_OCons(_u19765), _u19766), _u19767)) = _u19766) )).
% 27.71/27.96 cnf(matrix-7783, plain, ( ( _u19771 != c_List_Olist_ONil(_u19773)) | ( hAPP(c_List_Ohd(_u19773), hAPP(hAPP(c_List_Oappend(_u19773), _u19771), _u19775)) = hAPP(c_List_Ohd(_u19773), _u19775)) )).
% 27.71/27.96 cnf(matrix-7784, plain, ( ( _u19772 = c_List_Olist_ONil(_u19774)) | ( hAPP(c_List_Ohd(_u19774), hAPP(hAPP(c_List_Oappend(_u19774), _u19772), _u19776)) = hAPP(c_List_Ohd(_u19774), _u19772)) )).
% 27.71/27.96 cnf(matrix-7785, plain, ( ( _u19777 = c_List_Olist_ONil(_u19778)) | ( hAPP(c_List_Ohd(_u19778), hAPP(hAPP(c_List_Oappend(_u19778), _u19777), _u19779)) = hAPP(c_List_Ohd(_u19778), _u19777)) )).
% 27.71/27.96 cnf(matrix-7786, plain, ( ( _u19780 = c_List_Olist_ONil(_u19781)) | hBOOL(hAPP(hAPP(c_member(_u19781), hAPP(c_List_Ohd(_u19781), _u19780)), hAPP(c_List_Oset(_u19781), _u19780))) )).
% 27.71/27.96 cnf(matrix-7787, plain, ( ( _u19782 = c_List_Olist_ONil(_u19783)) | ( hAPP(c_List_Ohd(_u19783), _u19782) = hAPP(hAPP(c_List_Onth(_u19783), _u19782), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.71/27.96 cnf(matrix-7788, plain, ( ( _u19784 = c_List_Olist_ONil(_u19785)) | ( hAPP(c_List_Orotate1(_u19785), _u19784) = hAPP(hAPP(c_List_Oappend(_u19785), hAPP(c_List_Otl(_u19785), _u19784)), hAPP(hAPP(c_List_Olist_OCons(_u19785), hAPP(c_List_Ohd(_u19785), _u19784)), c_List_Olist_ONil(_u19785)))) )).
% 27.71/27.96 cnf(matrix-7789, plain, ( ( _u19786 = c_List_Olist_ONil(_u19787)) | ( hAPP(c_List_Ohd(_u19787), hAPP(c_List_Orotate(_u19787, _u19788), _u19786)) = hAPP(hAPP(c_List_Onth(_u19787), _u19786), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19788, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19787)), _u19786)))) )).
% 27.71/27.96 cnf(matrix-7790, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19789), hAPP(c_Nat_OSuc, _u19790)), _u19791) = hAPP(hAPP(c_List_Odrop(_u19789), _u19790), hAPP(c_List_Otl(_u19789), _u19791))) )).
% 27.71/27.96 cnf(matrix-7791, plain, ( ( hAPP(c_List_Otl(_u19792), hAPP(hAPP(c_List_Odrop(_u19792), _u19793), _u19794)) = hAPP(hAPP(c_List_Odrop(_u19792), _u19793), hAPP(c_List_Otl(_u19792), _u19794))) )).
% 27.71/27.96 cnf(matrix-7792, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19795), _u19796), hAPP(c_List_Otl(_u19795), _u19797)) = hAPP(c_List_Otl(_u19795), hAPP(hAPP(c_List_Odrop(_u19795), _u19796), _u19797))) )).
% 27.71/27.96 cnf(matrix-7793, plain, ( ( _u19798 = c_List_Olist_ONil(_u19799)) | ( hAPP(c_List_Otl(_u19799), hAPP(hAPP(c_List_Oappend(_u19799), _u19798), _u19800)) = hAPP(hAPP(c_List_Oappend(_u19799), hAPP(c_List_Otl(_u19799), _u19798)), _u19800)) )).
% 27.71/27.96 cnf(matrix-7794, plain, ( ( hAPP(c_List_Orotate(_u19801, _u19802), _u19803) = hAPP(c_List_Orotate(_u19801, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19802, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19801)), _u19803))), _u19803)) )).
% 27.71/27.96 cnf(matrix-7795, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19804)), hAPP(c_List_Orotate(_u19804, _u19805), _u19806)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19804)), _u19806)) )).
% 27.71/27.96 cnf(matrix-7796, plain, ( ( hAPP(c_List_Otl(_u19807), hAPP(hAPP(c_List_Olist_OCons(_u19807), _u19808), _u19809)) = _u19809) )).
% 27.71/27.96 cnf(matrix-7797, plain, ( ( hAPP(hAPP(c_List_Omap(_u19810, _u19811), _u19812), hAPP(c_List_Otl(_u19810), _u19813)) = hAPP(c_List_Otl(_u19811), hAPP(hAPP(c_List_Omap(_u19810, _u19811), _u19812), _u19813))) )).
% 27.71/27.96 cnf(matrix-7798, plain, ( ( hAPP(c_List_Orotate(_u19814, _u19815), hAPP(hAPP(c_List_Omap(_u19816, _u19814), _u19817), _u19818)) = hAPP(hAPP(c_List_Omap(_u19816, _u19814), _u19817), hAPP(c_List_Orotate(_u19816, _u19815), _u19818))) )).
% 27.71/27.96 cnf(matrix-7799, plain, ( ( hAPP(c_List_Oset(_u19819), hAPP(c_List_Orotate(_u19819, _u19820), _u19821)) = hAPP(c_List_Oset(_u19819), _u19821)) )).
% 27.71/27.96 cnf(matrix-7800, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19822), _u19823)) | hBOOL(hAPP(c_List_Odistinct(_u19822), hAPP(c_List_Otl(_u19822), _u19823))) )).
% 27.71/27.96 cnf(matrix-7801, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19827), hAPP(c_List_Orotate(_u19827, _u19829), _u19831))) | hBOOL(hAPP(c_List_Odistinct(_u19827), _u19831)) )).
% 27.71/27.96 cnf(matrix-7802, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19828), _u19832)) | hBOOL(hAPP(c_List_Odistinct(_u19828), hAPP(c_List_Orotate(_u19828, _u19830), _u19832))) )).
% 27.71/27.96 cnf(matrix-7803, plain, ( ( hAPP(c_List_Orotate(_u19833, _u19834), hAPP(c_List_Orotate(_u19833, _u19835), _u19836)) = hAPP(c_List_Orotate(_u19833, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19834), _u19835)), _u19836)) )).
% 27.71/27.96 cnf(matrix-7804, plain, ( ( hAPP(c_List_Orotate(_u19840, _u19842), _u19844) != c_List_Olist_ONil(_u19840)) | ( _u19844 = c_List_Olist_ONil(_u19840)) )).
% 27.71/27.96 cnf(matrix-7805, plain, ( ( _u19845 != c_List_Olist_ONil(_u19841)) | ( hAPP(c_List_Orotate(_u19841, _u19843), _u19845) = c_List_Olist_ONil(_u19841)) )).
% 27.71/27.96 cnf(matrix-7806, plain, ( ( hAPP(c_List_Otl(_u19846), c_List_Olist_ONil(_u19846)) = c_List_Olist_ONil(_u19846)) )).
% 27.71/27.96 cnf(matrix-7807, plain, ( ( hAPP(hAPP(c_List_Otake(_u19847), _u19848), hAPP(c_List_Otl(_u19847), _u19849)) = hAPP(c_List_Otl(_u19847), hAPP(hAPP(c_List_Otake(_u19847), hAPP(c_Nat_OSuc, _u19848)), _u19849))) )).
% 27.71/27.96 cnf(matrix-7808, plain, ( ( c_List_Orotate(_u19850, _u19851) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u19850), tc_List_Olist(_u19850)), _u19851), c_List_Orotate1(_u19850))) )).
% 27.71/27.96 cnf(matrix-7809, plain, ( ( hAPP(c_List_Orotate1(_u19852), hAPP(c_List_Orotate(_u19852, _u19853), _u19854)) = hAPP(c_List_Orotate(_u19852, _u19853), hAPP(c_List_Orotate1(_u19852), _u19854))) )).
% 27.71/27.96 cnf(matrix-7810, plain, ( ( hAPP(c_List_Orotate(_u19855, hAPP(c_Nat_OSuc, _u19856)), _u19857) = hAPP(c_List_Orotate1(_u19855), hAPP(c_List_Orotate(_u19855, _u19856), _u19857))) )).
% 27.71/27.96 cnf(matrix-7811, plain, ( ( hAPP(c_List_Otl(_u19858), hAPP(hAPP(c_List_Oappend(_u19858), _u19859), _u19860)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u19858), _u19858, hAPP(c_List_Otl(_u19858), _u19860), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u19858), tc_List_Olist(_u19858)), _u19858), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19858), tc_List_Olist(_u19858), tc_List_Olist(_u19858)), c_List_Oappend(_u19858)), _u19860))), _u19859)) )).
% 27.71/27.96 cnf(matrix-7812, plain, ( ( c_List_Orotate(_u19861, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u19861))) )).
% 27.71/27.96 cnf(matrix-7813, plain, ( ( c_List_Orotate(_u19862, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19863), _u19864)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u19862), tc_List_Olist(_u19862), tc_List_Olist(_u19862), c_List_Orotate(_u19862, _u19863)), c_List_Orotate(_u19862, _u19864))) )).
% 27.71/27.96 cnf(matrix-7814, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19865, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19866)), _u19867)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u19866, _u19865), _u19867) = _u19867) )).
% 27.71/27.96 cnf(matrix-7815, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19868)), _u19869)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u19868, _u19870), _u19869) = _u19869) )).
% 27.71/27.96 cnf(matrix-7816, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19871)), hAPP(c_List_Otl(_u19871), _u19872)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19871)), _u19872)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.71/27.96 cnf(matrix-7817, plain, ( ( hAPP(c_List_Otl(_u19873), hAPP(hAPP(c_List_Otake(_u19873), _u19874), _u19875)) = hAPP(hAPP(c_List_Otake(_u19873), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19874), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u19873), _u19875))) )).
% 27.71/27.96 cnf(matrix-7818, plain, ( ( _u19876 = c_List_Olist_ONil(_u19877)) | ( hAPP(hAPP(c_List_Otake(_u19877), hAPP(c_Nat_OSuc, _u19878)), _u19876) = hAPP(hAPP(c_List_Olist_OCons(_u19877), hAPP(c_List_Ohd(_u19877), _u19876)), hAPP(hAPP(c_List_Otake(_u19877), _u19878), hAPP(c_List_Otl(_u19877), _u19876)))) )).
% 27.71/27.96 cnf(matrix-7819, plain, ( ( hAPP(c_List_Orotate(_u19879, _u19880), _u19881) = hAPP(hAPP(c_List_Oappend(_u19879), hAPP(hAPP(c_List_Odrop(_u19879), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19880, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19879)), _u19881))), _u19881)), hAPP(hAPP(c_List_Otake(_u19879), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19880, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19879)), _u19881))), _u19881))) )).
% 27.71/27.96 cnf(matrix-7820, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u19882) | ( _u19883 = c_List_Olist_ONil(_u19882)) | ( hAPP(c_Finite__Set_Ofold1(_u19882, c_Groups_Otimes__class_Otimes(_u19882)), hAPP(c_List_Oset(_u19882), _u19883)) = hAPP(c_List_Ofoldl(_u19882, _u19882, c_Groups_Otimes__class_Otimes(_u19882), hAPP(c_List_Ohd(_u19882), _u19883)), hAPP(c_List_Otl(_u19882), _u19883))) )).
% 27.71/27.96 cnf(matrix-7821, plain, ( ( c_List_Olist_Olist__size(_u19884, _u19885, hAPP(hAPP(c_List_Olist_OCons(_u19884), _u19886), _u19887)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19885, _u19886)), c_List_Olist_Olist__size(_u19884, _u19885, _u19887))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.71/27.96 cnf(matrix-7822, plain, ( ( hAPP(c_List_Ofoldl(_u19888, _u19889, _u19890, _u19891), c_List_Olist_ONil(_u19889)) = _u19891) )).
% 27.71/27.96 cnf(matrix-7823, plain, ( ~class_Groups_Oab__semigroup__add(_u19892) | ( c_List_Ofoldr(_u19892, _u19892, c_Groups_Oplus__class_Oplus(_u19892), _u19893, _u19894) = hAPP(c_List_Ofoldl(_u19892, _u19892, c_Groups_Oplus__class_Oplus(_u19892), _u19894), _u19893)) )).
% 27.71/27.96 cnf(matrix-7824, plain, ( ~class_Groups_Omonoid__add(_u19895) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19895), _u19896), hAPP(c_List_Ofoldl(_u19895, _u19895, c_Groups_Oplus__class_Oplus(_u19895), c_Groups_Ozero__class_Ozero(_u19895)), _u19897)) = hAPP(c_List_Ofoldl(_u19895, _u19895, c_Groups_Oplus__class_Oplus(_u19895), _u19896), _u19897)) )).
% 27.71/27.96 cnf(matrix-7825, plain, ( ~class_Groups_Osemigroup__add(_u19898) | ( hAPP(c_List_Ofoldl(_u19898, _u19898, c_Groups_Oplus__class_Oplus(_u19898), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19898), _u19899), _u19900)), _u19901) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19898), _u19899), hAPP(c_List_Ofoldl(_u19898, _u19898, c_Groups_Oplus__class_Oplus(_u19898), _u19900), _u19901))) )).
% 27.71/27.96 cnf(matrix-7826, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19902), _u19903)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19902), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19903), _u19904))) )).
% 27.71/27.96 cnf(matrix-7827, plain, ( ( hAPP(c_List_Ofoldl(_u19905, _u19906, _u19907, _u19908), hAPP(hAPP(c_List_Omap(_u19909, _u19906), _u19910), _u19911)) = hAPP(c_List_Ofoldl(_u19905, _u19909, hAPP(hAPP(c_COMBC(_u19905, tc_fun(_u19909, _u19906), tc_fun(_u19909, _u19905)), hAPP(hAPP(c_COMBB(tc_fun(_u19906, _u19905), tc_fun(tc_fun(_u19909, _u19906), tc_fun(_u19909, _u19905)), _u19905), c_COMBB(_u19906, _u19905, _u19909)), _u19907)), _u19910), _u19908), _u19911)) )).
% 27.71/27.96 cnf(matrix-7828, plain, ( ( c_List_Olist_Olist__size(_u19912, _u19913, hAPP(hAPP(c_List_Omap(_u19914, _u19912), _u19915), _u19916)) = c_List_Olist_Olist__size(_u19914, hAPP(c_Fun_Ocomp(_u19912, tc_Nat_Onat, _u19914, _u19913), _u19915), _u19916)) )).
% 27.71/27.96 cnf(matrix-7829, plain, ( ( hAPP(c_List_Ofoldl(_u19917, _u19918, _u19919, _u19920), hAPP(hAPP(c_List_Olist_OCons(_u19918), _u19921), _u19922)) = hAPP(c_List_Ofoldl(_u19917, _u19918, _u19919, hAPP(hAPP(_u19919, _u19920), _u19921)), _u19922)) )).
% 27.71/27.96 cnf(matrix-7830, plain, ( ( hAPP(c_List_Ofoldl(_u19923, _u19924, _u19925, _u19926), hAPP(hAPP(c_List_Oappend(_u19924), _u19927), _u19928)) = hAPP(c_List_Ofoldl(_u19923, _u19924, _u19925, hAPP(c_List_Ofoldl(_u19923, _u19924, _u19925, _u19926), _u19927)), _u19928)) )).
% 27.71/27.96 cnf(matrix-7831, plain, ( ~class_Groups_Omonoid__add(_u19929) | ( c_List_Omonoid__add__class_Olistsum(_u19929) = c_List_Ofoldl(_u19929, _u19929, c_Groups_Oplus__class_Oplus(_u19929), c_Groups_Ozero__class_Ozero(_u19929))) )).
% 27.71/27.96 cnf(matrix-7832, plain, ( ~class_Groups_Omonoid__add(_u19930) | ( hAPP(c_List_Ofoldl(_u19930, _u19930, c_Groups_Oplus__class_Oplus(_u19930), _u19931), _u19932) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19930), _u19931), c_List_Ofoldr(_u19930, _u19930, c_Groups_Oplus__class_Oplus(_u19930), _u19932, c_Groups_Ozero__class_Ozero(_u19930)))) )).
% 27.71/27.96 cnf(matrix-7833, plain, ( ~class_Groups_Omonoid__add(_u19933) | ( hAPP(c_List_Ofoldl(_u19933, _u19933, c_Groups_Oplus__class_Oplus(_u19933), c_Groups_Ozero__class_Ozero(_u19933)), _u19934) = c_List_Ofoldr(_u19933, _u19933, c_Groups_Oplus__class_Oplus(_u19933), _u19934, c_Groups_Ozero__class_Ozero(_u19933))) )).
% 27.71/27.96 cnf(matrix-7834, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19939), _u19941) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19939 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-7835, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19939), _u19941) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19935), hAPP(c_List_Oset(tc_Nat_Onat), _u19941))) | ( _u19935 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-7836, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19940), _u19942) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19940 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem479(_u19942, _u19940)), hAPP(c_List_Oset(tc_Nat_Onat), _u19942))) )).
% 27.71/27.96 cnf(matrix-7837, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19940), _u19942) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19940 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem479(_u19942, _u19940) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-7838, plain, ( ( c_List_Olist_Olist__size(_u19943, _u19944, c_List_Olist_ONil(_u19943)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-7839, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u19945, _u19946, _u19947) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19945, _u19946, _u19947), _u19948), hAPP(c_List_Oset(_u19945), _u19949)) = hAPP(c_List_Ofoldl(_u19946, _u19945, hAPP(c_COMBC(_u19945, _u19946, _u19946), _u19947), _u19948), _u19949)) )).
% 27.71/27.96 cnf(matrix-7840, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19950) | ( c_Complete__Lattice_OSup__class_OSup(_u19950, hAPP(c_List_Oset(_u19950), _u19951)) = hAPP(c_List_Ofoldl(_u19950, _u19950, c_Lattices_Osemilattice__sup__class_Osup(_u19950), c_Orderings_Obot__class_Obot(_u19950)), _u19951)) )).
% 27.71/27.96 cnf(matrix-7841, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19952) | ( c_Complete__Lattice_OInf__class_OInf(_u19952, hAPP(c_List_Oset(_u19952), _u19953)) = hAPP(c_List_Ofoldl(_u19952, _u19952, c_Lattices_Osemilattice__inf__class_Oinf(_u19952), c_Orderings_Otop__class_Otop(_u19952)), _u19953)) )).
% 27.71/27.96 cnf(matrix-7842, plain, ( ~class_Lattices_Olattice(_u19954) | ( c_Big__Operators_Olattice__class_OSup__fin(_u19954, hAPP(c_List_Oset(_u19954), hAPP(hAPP(c_List_Olist_OCons(_u19954), _u19955), _u19956))) = hAPP(c_List_Ofoldl(_u19954, _u19954, c_Lattices_Osemilattice__sup__class_Osup(_u19954), _u19955), _u19956)) )).
% 27.71/27.96 cnf(matrix-7843, plain, ( ~class_Lattices_Olattice(_u19957) | ( c_Big__Operators_Olattice__class_OInf__fin(_u19957, hAPP(c_List_Oset(_u19957), hAPP(hAPP(c_List_Olist_OCons(_u19957), _u19958), _u19959))) = hAPP(c_List_Ofoldl(_u19957, _u19957, c_Lattices_Osemilattice__inf__class_Oinf(_u19957), _u19958), _u19959)) )).
% 27.71/27.96 cnf(matrix-7844, plain, ( ~class_Orderings_Olinorder(_u19960) | ( c_Big__Operators_Olinorder__class_OMin(_u19960, hAPP(c_List_Oset(_u19960), hAPP(hAPP(c_List_Olist_OCons(_u19960), _u19961), _u19962))) = hAPP(c_List_Ofoldl(_u19960, _u19960, c_Orderings_Oord__class_Omin(_u19960), _u19961), _u19962)) )).
% 27.71/27.96 cnf(matrix-7845, plain, ( ~class_Orderings_Olinorder(_u19963) | ( c_Big__Operators_Olinorder__class_OMax(_u19963, hAPP(c_List_Oset(_u19963), hAPP(hAPP(c_List_Olist_OCons(_u19963), _u19964), _u19965))) = hAPP(c_List_Ofoldl(_u19963, _u19963, c_Orderings_Oord__class_Omax(_u19963), _u19964), _u19965)) )).
% 27.71/27.96 cnf(matrix-7846, plain, ( ~class_Orderings_Olinorder(_u19966) | ( c_Big__Operators_Olattice_OInf__fin(_u19966, c_Orderings_Oord__class_Omin(_u19966), hAPP(c_List_Oset(_u19966), hAPP(hAPP(c_List_Olist_OCons(_u19966), _u19967), _u19968))) = hAPP(c_List_Ofoldl(_u19966, _u19966, c_Orderings_Oord__class_Omin(_u19966), _u19967), _u19968)) )).
% 27.71/27.96 cnf(matrix-7847, plain, ( ~class_Orderings_Olinorder(_u19969) | ( c_Big__Operators_Olattice_OSup__fin(_u19969, c_Orderings_Oord__class_Omax(_u19969), hAPP(c_List_Oset(_u19969), hAPP(hAPP(c_List_Olist_OCons(_u19969), _u19970), _u19971))) = hAPP(c_List_Ofoldl(_u19969, _u19969, c_Orderings_Oord__class_Omax(_u19969), _u19970), _u19971)) )).
% 27.71/27.96 cnf(matrix-7848, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19972) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19973, _u19972), hAPP(c_List_Oset(_u19973), _u19974)), _u19975) = hAPP(c_List_Ofoldl(_u19972, _u19973, hAPP(c_COMBC(_u19973, _u19972, _u19972), hAPP(hAPP(c_COMBB(_u19972, tc_fun(_u19972, _u19972), _u19973), c_Lattices_Osemilattice__sup__class_Osup(_u19972)), _u19975)), c_Orderings_Obot__class_Obot(_u19972)), _u19974)) )).
% 27.71/27.96 cnf(matrix-7849, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19976) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19977, _u19976), hAPP(c_List_Oset(_u19977), _u19978)), _u19979) = hAPP(c_List_Ofoldl(_u19976, _u19977, hAPP(c_COMBC(_u19977, _u19976, _u19976), hAPP(hAPP(c_COMBB(_u19976, tc_fun(_u19976, _u19976), _u19977), c_Lattices_Osemilattice__inf__class_Oinf(_u19976)), _u19979)), c_Orderings_Otop__class_Otop(_u19976)), _u19978)) )).
% 27.71/27.96 cnf(matrix-7850, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19980), _u19981), hAPP(c_List_Oset(_u19980), _u19982))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19983), hAPP(_u19984, _u19981))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19983), c_List_Olist_Olist__size(_u19980, _u19984, _u19982))) )).
% 27.71/27.96 cnf(matrix-7851, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19985), _u19986), hAPP(c_List_Oset(_u19985), _u19987))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19988), hAPP(_u19989, _u19986))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19988), c_List_Olist_Olist__size(_u19985, _u19989, _u19987))) )).
% 27.71/27.96 cnf(matrix-7852, plain, ( ( c_Map_Omap__upds(_u19990, _u19991, _u19992, _u19993, _u19994) = hAPP(c_List_Ofoldl(tc_fun(_u19990, tc_Option_Ooption(_u19991)), tc_prod(_u19990, _u19991), hAPP(hAPP(c_COMBB(tc_fun(_u19990, tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991)))), tc_fun(tc_prod(_u19990, _u19991), tc_fun(_u19990, tc_Option_Ooption(_u19991))), tc_fun(_u19990, tc_Option_Ooption(_u19991))), c_Product__Type_Oprod_Oprod__case(_u19990, _u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991)))), hAPP(hAPP(c_COMBC(tc_fun(_u19990, tc_Option_Ooption(_u19991)), tc_fun(_u19991, tc_Option_Ooption(_u19991)), tc_fun(_u19990, tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991))))), hAPP(hAPP(c_COMBB(tc_fun(_u19990, tc_fun(tc_fun(_u19991, tc_Option_Ooption(_u19991)), tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991))))), tc_fun(tc_fun(_u19991, tc_Option_Ooption(_u19991)), tc_fun(_u19990, tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991))))), tc_fun(_u19990, tc_Option_Ooption(_u19991))), c_COMBC(_u19990, tc_fun(_u19991, tc_Option_Ooption(_u19991)), tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991))))), hAPP(hAPP(c_COMBB(tc_fun(_u19990, tc_fun(tc_Option_Ooption(_u19991), tc_fun(_u19990, tc_Option_Ooption(_u19991)))), tc_fun(_u19990, tc_fun(tc_fun(_u19991, tc_Option_Ooption(_u19991)), tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991))))), tc_fun(_u19990, tc_Option_Ooption(_u19991))), hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u19991), tc_fun(_u19990, tc_Option_Ooption(_u19991))), tc_fun(tc_fun(_u19991, tc_Option_Ooption(_u19991)), tc_fun(_u19991, tc_fun(_u19990, tc_Option_Ooption(_u19991)))), _u19990), c_COMBB(tc_Option_Ooption(_u19991), tc_fun(_u19990, tc_Option_Ooption(_u19991)), _u19991))), c_Fun_Ofun__upd(_u19990, tc_Option_Ooption(_u19991))))), c_Option_Ooption_OSome(_u19991))), _u19992), hAPP(hAPP(c_List_Ozip(_u19990, _u19991), _u19993), _u19994))) )).
% 27.71/27.96 cnf(matrix-7853, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19995), hAPP(c_List_Oset(tc_Nat_Onat), _u19996))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19995), 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)), _u19996))) )).
% 27.71/27.96 cnf(matrix-7854, plain, ( ( c_List_Olist_Olist__size(_u19997, _u19998, _u19999) = 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(_u19997, tc_Nat_Onat), _u19998), _u19999))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19997)), _u19999))) )).
% 27.71/27.96 cnf(matrix-7855, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20000, _u20000), tc_HOL_Obool)), _u20001), hAPP(hAPP(c_Product__Type_OSigma(_u20000, _u20000), _u20002), hAPP(c_COMBK(tc_fun(_u20000, tc_HOL_Obool), _u20000), _u20002)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u20000), tc_List_Olist(_u20000)), tc_HOL_Obool)), c_List_Olistrel(_u20000, _u20001)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u20000), tc_List_Olist(_u20000)), c_List_Olists(_u20000, _u20002)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20000), tc_HOL_Obool), tc_List_Olist(_u20000)), c_List_Olists(_u20000, _u20002))))) )).
% 27.71/27.96 cnf(matrix-7856, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20003)), _u20004), c_Wellfounded_Oacc(tc_List_Olist(_u20003), c_List_Olistrel1(_u20003, _u20005)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20003)), _u20004), c_List_Olists(_u20003, c_Wellfounded_Oacc(_u20003, _u20005)))) )).
% 27.71/27.96 cnf(matrix-7857, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20006)), c_List_Olist_ONil(_u20006)), c_List_Olists(_u20006, _u20007))) )).
% 27.71/27.96 cnf(matrix-7858, plain, ( ~c_Relation_Orefl__on(_u20008, _u20009, _u20010) | c_Relation_Orefl__on(tc_List_Olist(_u20008), c_List_Olists(_u20008, _u20009), c_List_Olistrel(_u20008, _u20010)) )).
% 27.71/27.96 cnf(matrix-7859, plain, ( ~c_Equiv__Relations_Oequiv(_u20011, _u20012, _u20013) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u20011), c_List_Olists(_u20011, _u20012), c_List_Olistrel(_u20011, _u20013)) )).
% 27.71/27.96 cnf(matrix-7860, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20018)), hAPP(hAPP(c_List_Oappend(_u20018), _u20020), _u20022)), c_List_Olists(_u20018, _u20024))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20018)), _u20020), c_List_Olists(_u20018, _u20024))) )).
% 27.71/27.96 cnf(matrix-7861, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20018)), hAPP(hAPP(c_List_Oappend(_u20018), _u20020), _u20022)), c_List_Olists(_u20018, _u20024))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20018)), _u20022), c_List_Olists(_u20018, _u20024))) )).
% 27.71/27.96 cnf(matrix-7862, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20019)), _u20021), c_List_Olists(_u20019, _u20025))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20019)), _u20023), c_List_Olists(_u20019, _u20025))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20019)), hAPP(hAPP(c_List_Oappend(_u20019), _u20021), _u20023)), c_List_Olists(_u20019, _u20025))) )).
% 27.71/27.96 cnf(matrix-7863, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20026, tc_HOL_Obool)), _u20027), _u20028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u20026), tc_HOL_Obool)), c_List_Olists(_u20026, _u20027)), c_List_Olists(_u20026, _u20028))) )).
% 27.71/27.96 cnf(matrix-7864, plain, ( ( c_List_Olists(_u20029, c_Orderings_Otop__class_Otop(tc_fun(_u20029, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u20029), tc_HOL_Obool))) )).
% 27.71/27.96 cnf(matrix-7865, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20034)), hAPP(hAPP(c_List_Olist_OCons(_u20034), _u20036), _u20038)), c_List_Olists(_u20034, _u20040))) | hBOOL(hAPP(hAPP(c_member(_u20034), _u20036), _u20040)) )).
% 27.71/27.96 cnf(matrix-7866, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20034)), hAPP(hAPP(c_List_Olist_OCons(_u20034), _u20036), _u20038)), c_List_Olists(_u20034, _u20040))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20034)), _u20038), c_List_Olists(_u20034, _u20040))) )).
% 27.71/27.96 cnf(matrix-7867, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20035), _u20037), _u20041)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20035)), _u20039), c_List_Olists(_u20035, _u20041))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20035)), hAPP(hAPP(c_List_Olist_OCons(_u20035), _u20037), _u20039)), c_List_Olists(_u20035, _u20041))) )).
% 27.71/27.96 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), hAPP(c_List_Oset(_u20047), _u20049))) | hBOOL(hAPP(hAPP(c_member(_u20047), _u20042), _u20051)) )).
% 27.71/27.96 cnf(matrix-7869, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20048)), _u20050), c_List_Olists(_u20048, _u20052))) | hBOOL(hAPP(hAPP(c_member(_u20048), skolem480(_u20052, _u20050, _u20048)), hAPP(c_List_Oset(_u20048), _u20050))) )).
% 27.71/27.96 cnf(matrix-7870, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20048)), _u20050), c_List_Olists(_u20048, _u20052))) | ~hBOOL(hAPP(hAPP(c_member(_u20048), skolem480(_u20052, _u20050, _u20048)), _u20052)) )).
% 27.71/27.96 cnf(matrix-7871, plain, ( ( c_List_Olists(_u20053, _u20054) = hAPP(c_Set_OCollect(tc_List_Olist(_u20053)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20053), tc_fun(_u20053, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u20053, tc_HOL_Obool), tc_fun(tc_fun(_u20053, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u20053)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u20053, tc_HOL_Obool))), c_List_Oset(_u20053))), _u20054))) )).
% 27.71/27.96 cnf(matrix-7872, plain, ( ( c_List_Olists(_u20055, c_Orderings_Obot__class_Obot(tc_fun(_u20055, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u20055)), c_List_Olist_ONil(_u20055)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u20055), tc_HOL_Obool)))) )).
% 27.71/27.96 cnf(matrix-7873, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20056)), _u20057), c_List_Olists(_u20056, c_Wellfounded_Oacc(_u20056, _u20058)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20056)), _u20057), c_Wellfounded_Oacc(tc_List_Olist(_u20056), c_List_Olistrel1(_u20056, _u20058)))) )).
% 27.71/27.96 cnf(matrix-7874, plain, ( ( _u20061 != hAPP(hAPP(c_List_Olist_OCons(_u20062), _u20060), _u20059)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20062), tc_List_Olist(_u20062))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20062), tc_List_Olist(_u20062)), _u20063), hAPP(hAPP(c_List_Oappend(_u20062), _u20063), _u20061))), c_List_Olexord(_u20062, _u20064))) )).
% 27.71/27.96 cnf(matrix-7875, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20072), tc_List_Olist(_u20072))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20072), tc_List_Olist(_u20072)), c_List_Olist_ONil(_u20072)), _u20074)), c_List_Olexord(_u20072, _u20076))) | ( _u20074 = hAPP(hAPP(c_List_Olist_OCons(_u20072), skolem481(_u20076, _u20074, _u20072)), skolem482(_u20076, _u20074, _u20072))) )).
% 27.71/27.96 cnf(matrix-7876, plain, ( ( _u20075 != hAPP(hAPP(c_List_Olist_OCons(_u20073), _u20068), _u20067)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20073), tc_List_Olist(_u20073))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20073), tc_List_Olist(_u20073)), c_List_Olist_ONil(_u20073)), _u20075)), c_List_Olexord(_u20073, _u20077))) )).
% 27.71/27.96 cnf(matrix-7877, plain, ( ( _u20078 = c_List_Olist_ONil(_u20079)) | ( _u20080 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20079)), _u20078)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u20079, hAPP(hAPP(c_List_Olist__update(_u20079, _u20078), _u20080), _u20081)) = _u20081) )).
% 27.71/27.96 cnf(matrix-7878, plain, ( ( _u20078 = c_List_Olist_ONil(_u20079)) | ( _u20080 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20079)), _u20078)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u20079, hAPP(hAPP(c_List_Olist__update(_u20079, _u20078), _u20080), _u20081)) = c_List_Olast(_u20079, _u20078)) )).
% 27.71/27.96 cnf(matrix-7879, plain, ( ~class_Groups_Omonoid__add(_u20083) | ~class_Groups_Oordered__ab__semigroup__add(_u20083) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20083), hAPP(c_List_Omonoid__add__class_Olistsum(_u20083), hAPP(hAPP(c_List_Omap(_u20084, _u20083), _u20086), _u20085))), hAPP(c_List_Omonoid__add__class_Olistsum(_u20083), hAPP(hAPP(c_List_Omap(_u20084, _u20083), _u20087), _u20085)))) | hBOOL(hAPP(hAPP(c_member(_u20084), skolem483(_u20087, _u20086, _u20085, _u20084, _u20083)), hAPP(c_List_Oset(_u20084), _u20085))) )).
% 27.71/27.96 cnf(matrix-7880, plain, ( ~class_Groups_Omonoid__add(_u20083) | ~class_Groups_Oordered__ab__semigroup__add(_u20083) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20083), hAPP(c_List_Omonoid__add__class_Olistsum(_u20083), hAPP(hAPP(c_List_Omap(_u20084, _u20083), _u20086), _u20085))), hAPP(c_List_Omonoid__add__class_Olistsum(_u20083), hAPP(hAPP(c_List_Omap(_u20084, _u20083), _u20087), _u20085)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20083), hAPP(_u20086, skolem483(_u20087, _u20086, _u20085, _u20084, _u20083))), hAPP(_u20087, skolem483(_u20087, _u20086, _u20085, _u20084, _u20083)))) )).
% 27.71/27.96 cnf(matrix-7881, plain, ( ( _u20088 != c_List_Olist_ONil(_u20089)) | ( c_List_Olast(_u20089, hAPP(hAPP(c_List_Oappend(_u20089), _u20090), _u20088)) = c_List_Olast(_u20089, _u20090)) )).
% 27.71/27.96 cnf(matrix-7882, plain, ( ( _u20091 = c_List_Olist_ONil(_u20092)) | ( c_List_Olast(_u20092, hAPP(hAPP(c_List_Oappend(_u20092), _u20093), _u20091)) = c_List_Olast(_u20092, _u20091)) )).
% 27.71/27.96 cnf(matrix-7883, plain, ( ( _u20097 != c_List_Olist_ONil(_u20099)) | ( c_List_Olast(_u20099, hAPP(hAPP(c_List_Oappend(_u20099), _u20101), _u20097)) = c_List_Olast(_u20099, _u20101)) )).
% 27.71/27.96 cnf(matrix-7884, plain, ( ( _u20098 = c_List_Olist_ONil(_u20100)) | ( c_List_Olast(_u20100, hAPP(hAPP(c_List_Oappend(_u20100), _u20102), _u20098)) = c_List_Olast(_u20100, _u20098)) )).
% 27.71/27.96 cnf(matrix-7885, plain, ( ( _u20103 != c_List_Olist_ONil(_u20104)) | ( c_List_Olast(_u20104, hAPP(hAPP(c_List_Olist_OCons(_u20104), _u20105), _u20103)) = _u20105) )).
% 27.71/27.96 cnf(matrix-7886, plain, ( ( _u20106 = c_List_Olist_ONil(_u20107)) | ( c_List_Olast(_u20107, hAPP(hAPP(c_List_Olist_OCons(_u20107), _u20108), _u20106)) = c_List_Olast(_u20107, _u20106)) )).
% 27.71/27.96 cnf(matrix-7887, plain, ( ( _u20112 != c_List_Olist_ONil(_u20114)) | ( c_List_Olast(_u20114, hAPP(hAPP(c_List_Olist_OCons(_u20114), _u20116), _u20112)) = _u20116) )).
% 27.71/27.96 cnf(matrix-7888, plain, ( ( _u20113 = c_List_Olist_ONil(_u20115)) | ( c_List_Olast(_u20115, hAPP(hAPP(c_List_Olist_OCons(_u20115), _u20117), _u20113)) = c_List_Olast(_u20115, _u20113)) )).
% 27.71/27.96 cnf(matrix-7889, plain, ( ( _u20118 = c_List_Olist_ONil(_u20119)) | ( c_List_Olast(_u20120, hAPP(hAPP(c_List_Omap(_u20119, _u20120), _u20121), _u20118)) = hAPP(_u20121, c_List_Olast(_u20119, _u20118))) )).
% 27.71/27.96 cnf(matrix-7890, plain, ( ( _u20122 = c_List_Olist_ONil(_u20123)) | hBOOL(hAPP(hAPP(c_member(_u20123), c_List_Olast(_u20123, _u20122)), hAPP(c_List_Oset(_u20123), _u20122))) )).
% 27.71/27.96 cnf(matrix-7891, plain, ( ( c_List_Olast(_u20124, hAPP(hAPP(c_List_Oappend(_u20124), _u20125), hAPP(hAPP(c_List_Olist_OCons(_u20124), _u20126), c_List_Olist_ONil(_u20124)))) = _u20126) )).
% 27.71/27.96 cnf(matrix-7892, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20127), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20128)), _u20129))) | ( c_List_Olast(_u20128, hAPP(hAPP(c_List_Odrop(_u20128), _u20127), _u20129)) = c_List_Olast(_u20128, _u20129)) )).
% 27.71/27.96 cnf(matrix-7893, plain, ( ( _u20130 = c_List_Olist_ONil(_u20131)) | ( c_List_Olast(_u20131, _u20130) = hAPP(hAPP(c_List_Onth(_u20131), _u20130), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20131)), _u20130)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 27.71/27.96 cnf(matrix-7894, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20134), tc_List_Olist(_u20134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20134), tc_List_Olist(_u20134)), _u20136), _u20137)), c_List_Olexord(_u20134, _u20135))) | ( _u20136 = _u20137) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20134), tc_List_Olist(_u20134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20134), tc_List_Olist(_u20134)), _u20137), _u20136)), c_List_Olexord(_u20134, _u20135))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20134, _u20134)), hAPP(hAPP(c_Product__Type_OPair(_u20134, _u20134), skolem484(_u20137, _u20136, _u20135, _u20134)), skolem485(_u20137, _u20136, _u20135, _u20134))), _u20135)) )).
% 27.71/27.96 cnf(matrix-7895, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20134), tc_List_Olist(_u20134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20134), tc_List_Olist(_u20134)), _u20136), _u20137)), c_List_Olexord(_u20134, _u20135))) | ( _u20136 = _u20137) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20134), tc_List_Olist(_u20134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20134), tc_List_Olist(_u20134)), _u20137), _u20136)), c_List_Olexord(_u20134, _u20135))) | ( skolem484(_u20137, _u20136, _u20135, _u20134) != skolem485(_u20137, _u20136, _u20135, _u20134)) )).
% 27.71/27.96 cnf(matrix-7896, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20134), tc_List_Olist(_u20134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20134), tc_List_Olist(_u20134)), _u20136), _u20137)), c_List_Olexord(_u20134, _u20135))) | ( _u20136 = _u20137) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20134), tc_List_Olist(_u20134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20134), tc_List_Olist(_u20134)), _u20137), _u20136)), c_List_Olexord(_u20134, _u20135))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20134, _u20134)), hAPP(hAPP(c_Product__Type_OPair(_u20134, _u20134), skolem485(_u20137, _u20136, _u20135, _u20134)), skolem484(_u20137, _u20136, _u20135, _u20134))), _u20135)) )).
% 27.71/27.96 cnf(matrix-7897, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u20139, _u20139)), hAPP(hAPP(c_Product__Type_OPair(_u20139, _u20139), skolem486(_u20141, _u20140, _u20139)), skolem486(_u20141, _u20140, _u20139))), _u20140)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20139), tc_List_Olist(_u20139))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20139), tc_List_Olist(_u20139)), _u20141), _u20141)), c_List_Olexord(_u20139, _u20140))) )).
% 27.71/27.96 cnf(matrix-7898, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20149)), _u20151), c_List_Olists(_u20149, _u20153))) | ( _u20151 = c_List_Olist_ONil(_u20149)) | hBOOL(hAPP(hAPP(c_member(_u20149), skolem487(_u20153, _u20151, _u20149)), _u20153)) )).
% 27.71/27.96 cnf(matrix-7899, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20149)), _u20151), c_List_Olists(_u20149, _u20153))) | ( _u20151 = c_List_Olist_ONil(_u20149)) | ( _u20151 = hAPP(hAPP(c_List_Olist_OCons(_u20149), skolem487(_u20153, _u20151, _u20149)), skolem488(_u20153, _u20151, _u20149))) )).
% 27.71/27.96 cnf(matrix-7900, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20149)), _u20151), c_List_Olists(_u20149, _u20153))) | ( _u20151 = c_List_Olist_ONil(_u20149)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20149)), skolem488(_u20153, _u20151, _u20149)), c_List_Olists(_u20149, _u20153))) )).
% 27.71/27.96 cnf(matrix-7901, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20150)), _u20152), c_List_Olists(_u20150, _u20154))) | ( _u20152 != c_List_Olist_ONil(_u20150)) )).
% 27.71/27.96 cnf(matrix-7902, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20150)), _u20152), c_List_Olists(_u20150, _u20154))) | ~hBOOL(hAPP(hAPP(c_member(_u20150), _u20145), _u20154)) | ( _u20152 != hAPP(hAPP(c_List_Olist_OCons(_u20150), _u20145), _u20144)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20150)), _u20144), c_List_Olists(_u20150, _u20154))) )).
% 27.71/27.96 cnf(matrix-7903, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u20156, _u20158, _u20157)), c_List_Olist_Olist__size(_u20156, _u20159, _u20157))) | hBOOL(hAPP(hAPP(c_member(_u20156), skolem489(_u20159, _u20158, _u20157, _u20156)), hAPP(c_List_Oset(_u20156), _u20157))) )).
% 27.71/27.96 cnf(matrix-7904, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u20156, _u20158, _u20157)), c_List_Olist_Olist__size(_u20156, _u20159, _u20157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u20158, skolem489(_u20159, _u20158, _u20157, _u20156))), hAPP(_u20159, skolem489(_u20159, _u20158, _u20157, _u20156)))) )).
% 27.71/27.96 cnf(matrix-7905, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20160), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20161)), _u20162))) | ( c_List_Obutlast(_u20161, hAPP(hAPP(c_List_Otake(_u20161), _u20160), _u20162)) = hAPP(hAPP(c_List_Otake(_u20161), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20160), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20162)) )).
% 27.71/27.96 cnf(matrix-7906, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20164), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20165)), _u20166))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20164), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20165)), _u20167))) | ( hAPP(hAPP(c_List_Otake(_u20165), _u20164), _u20166) = hAPP(hAPP(c_List_Otake(_u20165), _u20164), _u20167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem490(_u20167, _u20166, _u20165, _u20164)), _u20164)) )).
% 27.71/27.96 cnf(matrix-7907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20164), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20165)), _u20166))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20164), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20165)), _u20167))) | ( hAPP(hAPP(c_List_Otake(_u20165), _u20164), _u20166) = hAPP(hAPP(c_List_Otake(_u20165), _u20164), _u20167)) | ( hAPP(hAPP(c_List_Onth(_u20165), _u20166), skolem490(_u20167, _u20166, _u20165, _u20164)) != hAPP(hAPP(c_List_Onth(_u20165), _u20167), skolem490(_u20167, _u20166, _u20165, _u20164))) )).
% 27.71/27.96 cnf(matrix-7908, plain, ( ( hAPP(hAPP(c_List_Omap(_u20168, _u20169), _u20170), c_List_Obutlast(_u20168, _u20171)) = c_List_Obutlast(_u20169, hAPP(hAPP(c_List_Omap(_u20168, _u20169), _u20170), _u20171))) )).
% 27.71/27.96 cnf(matrix-7909, plain, ( ( _u20172 = c_List_Olist_ONil(_u20173)) | ~hBOOL(hAPP(c_List_Odistinct(_u20173), _u20172)) | hBOOL(hAPP(c_List_Odistinct(_u20173), c_List_Obutlast(_u20173, _u20172))) )).
% 27.71/27.96 cnf(matrix-7910, plain, ( ( c_List_Obutlast(_u20174, c_List_Olist_ONil(_u20174)) = c_List_Olist_ONil(_u20174)) )).
% 27.71/27.96 cnf(matrix-7911, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20175), _u20176), hAPP(c_List_Oset(_u20175), c_List_Obutlast(_u20175, _u20177)))) | hBOOL(hAPP(hAPP(c_member(_u20175), _u20176), hAPP(c_List_Oset(_u20175), _u20177))) )).
% 27.71/27.96 cnf(matrix-7912, plain, ( ( _u20181 != c_List_Olist_ONil(_u20183)) | ( c_List_Obutlast(_u20183, hAPP(hAPP(c_List_Olist_OCons(_u20183), _u20185), _u20181)) = c_List_Olist_ONil(_u20183)) )).
% 27.71/27.96 cnf(matrix-7913, plain, ( ( _u20182 = c_List_Olist_ONil(_u20184)) | ( c_List_Obutlast(_u20184, hAPP(hAPP(c_List_Olist_OCons(_u20184), _u20186), _u20182)) = hAPP(hAPP(c_List_Olist_OCons(_u20184), _u20186), c_List_Obutlast(_u20184, _u20182))) )).
% 27.71/27.96 cnf(matrix-7914, plain, ( ( _u20190 != c_List_Olist_ONil(_u20192)) | ( c_List_Obutlast(_u20192, hAPP(hAPP(c_List_Oappend(_u20192), _u20194), _u20190)) = c_List_Obutlast(_u20192, _u20194)) )).
% 27.71/27.96 cnf(matrix-7915, plain, ( ( _u20191 = c_List_Olist_ONil(_u20193)) | ( c_List_Obutlast(_u20193, hAPP(hAPP(c_List_Oappend(_u20193), _u20195), _u20191)) = hAPP(hAPP(c_List_Oappend(_u20193), _u20195), c_List_Obutlast(_u20193, _u20191))) )).
% 27.71/27.96 cnf(matrix-7916, plain, ( ( hAPP(hAPP(c_List_Odrop(_u20196), _u20197), c_List_Obutlast(_u20196, _u20198)) = c_List_Obutlast(_u20196, hAPP(hAPP(c_List_Odrop(_u20196), _u20197), _u20198))) )).
% 27.71/27.96 cnf(matrix-7917, plain, ( ( c_List_Obutlast(_u20199, hAPP(hAPP(c_List_Odrop(_u20199), _u20200), _u20201)) = hAPP(hAPP(c_List_Odrop(_u20199), _u20200), c_List_Obutlast(_u20199, _u20201))) )).
% 27.71/27.96 cnf(matrix-7918, plain, ( hBOOL(hAPP(hAPP(c_member(_u20202), _u20203), hAPP(c_List_Oset(_u20202), c_List_Obutlast(_u20202, hAPP(hAPP(c_List_Oappend(_u20202), _u20204), _u20205))))) | ~hBOOL(hAPP(hAPP(c_member(_u20202), _u20203), hAPP(c_List_Oset(_u20202), c_List_Obutlast(_u20202, _u20204)))) )).
% 27.71/27.96 cnf(matrix-7919, plain, ( hBOOL(hAPP(hAPP(c_member(_u20202), _u20203), hAPP(c_List_Oset(_u20202), c_List_Obutlast(_u20202, hAPP(hAPP(c_List_Oappend(_u20202), _u20204), _u20205))))) | ~hBOOL(hAPP(hAPP(c_member(_u20202), _u20203), hAPP(c_List_Oset(_u20202), c_List_Obutlast(_u20202, _u20205)))) )).
% 27.71/27.96 cnf(matrix-7920, plain, ( ( c_List_Obutlast(_u20206, hAPP(hAPP(c_List_Oappend(_u20206), _u20207), hAPP(hAPP(c_List_Olist_OCons(_u20206), _u20208), c_List_Olist_ONil(_u20206)))) = _u20207) )).
% 27.71/27.96 cnf(matrix-7921, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20209), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20210)), _u20211))) | ( hAPP(hAPP(c_List_Otake(_u20210), _u20209), c_List_Obutlast(_u20210, _u20211)) = hAPP(hAPP(c_List_Otake(_u20210), _u20209), _u20211)) )).
% 27.71/27.96 cnf(matrix-7922, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20212)), c_List_Obutlast(_u20212, _u20213)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20212)), _u20213)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.71/27.96 cnf(matrix-7923, plain, ( ( c_List_Obutlast(_u20214, _u20215) = hAPP(hAPP(c_List_Otake(_u20214), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20214)), _u20215)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20215)) )).
% 27.71/27.96 cnf(matrix-7924, plain, ( ( _u20220 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20222)), _u20224)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u20222, hAPP(hAPP(c_List_Olist__update(_u20222, _u20224), _u20220), _u20226)) = c_List_Obutlast(_u20222, _u20224)) )).
% 27.71/27.96 cnf(matrix-7925, plain, ( ( _u20221 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20223)), _u20225)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u20223, hAPP(hAPP(c_List_Olist__update(_u20223, _u20225), _u20221), _u20227)) = hAPP(hAPP(c_List_Olist__update(_u20223, c_List_Obutlast(_u20223, _u20225)), _u20221), _u20227)) )).
% 27.71/27.96 cnf(matrix-7926, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20232), _u20234), hAPP(hAPP(c_List_Olist_OCons(_u20232), _u20236), c_List_Olist_ONil(_u20232))) != _u20238) | ( _u20238 != c_List_Olist_ONil(_u20232)) )).
% 27.71/27.96 cnf(matrix-7927, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20232), _u20234), hAPP(hAPP(c_List_Olist_OCons(_u20232), _u20236), c_List_Olist_ONil(_u20232))) != _u20238) | ( c_List_Obutlast(_u20232, _u20238) = _u20234) )).
% 27.71/27.96 cnf(matrix-7928, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20232), _u20234), hAPP(hAPP(c_List_Olist_OCons(_u20232), _u20236), c_List_Olist_ONil(_u20232))) != _u20238) | ( c_List_Olast(_u20232, _u20238) = _u20236) )).
% 27.71/27.96 cnf(matrix-7929, plain, ( ( _u20239 = c_List_Olist_ONil(_u20233)) | ( c_List_Obutlast(_u20233, _u20239) != _u20235) | ( c_List_Olast(_u20233, _u20239) != _u20237) | ( hAPP(hAPP(c_List_Oappend(_u20233), _u20235), hAPP(hAPP(c_List_Olist_OCons(_u20233), _u20237), c_List_Olist_ONil(_u20233))) = _u20239) )).
% 27.71/27.96 cnf(matrix-7930, plain, ( ( _u20240 = c_List_Olist_ONil(_u20241)) | ( hAPP(hAPP(c_List_Oappend(_u20241), c_List_Obutlast(_u20241, _u20240)), hAPP(hAPP(c_List_Olist_OCons(_u20241), c_List_Olast(_u20241, _u20240)), c_List_Olist_ONil(_u20241))) = _u20240) )).
% 27.71/27.96 cnf(matrix-7931, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20242)), _u20243))), c_List_Ofoldr(tc_List_Olist(_u20244), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20244)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20244))), _u20245, 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(_u20242)), _u20243)), c_List_Ofoldr(tc_List_Olist(_u20244), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20244)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20244), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20244)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20244)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u20244), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20244)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20244), tc_List_Olist(_u20244), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20244)))), _u20245), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 27.71/27.96 cnf(matrix-7932, plain, ( ( c_List_Opartition(_u20246, _u20247, _u20248) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20246), tc_List_Olist(_u20246)), _u20249), _u20250)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20246, tc_HOL_Obool)), hAPP(c_List_Oset(_u20246), _u20249)), hAPP(c_List_Oset(_u20246), _u20250)) = hAPP(c_List_Oset(_u20246), _u20248)) )).
% 27.71/27.96 cnf(matrix-7933, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20251)), hAPP(c_List_Ofilter(_u20251, _u20252), hAPP(hAPP(c_List_Omap(_u20253, _u20251), _u20254), _u20255))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20253)), hAPP(c_List_Ofilter(_u20253, hAPP(c_Fun_Ocomp(_u20251, tc_HOL_Obool, _u20253, _u20252), _u20254)), _u20255))) )).
% 27.71/27.96 cnf(matrix-7934, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20256, tc_HOL_Obool)), hAPP(c_List_Oset(_u20256), hAPP(c_List_Ofilter(_u20256, _u20257), _u20258))), hAPP(c_List_Oset(_u20256), _u20258))) )).
% 27.71/27.96 cnf(matrix-7935, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20259)), hAPP(c_List_Ofilter(_u20259, _u20260), _u20261))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20259)), _u20261))) )).
% 27.71/27.96 cnf(matrix-7936, plain, ( ( hAPP(c_List_Ofilter(_u20262, _u20263), hAPP(hAPP(c_List_Oappend(_u20262), _u20264), _u20265)) = hAPP(hAPP(c_List_Oappend(_u20262), hAPP(c_List_Ofilter(_u20262, _u20263), _u20264)), hAPP(c_List_Ofilter(_u20262, _u20263), _u20265))) )).
% 27.71/27.96 cnf(matrix-7937, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20266)), hAPP(c_List_Ofilter(_u20266, _u20267), _u20268))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20266)), hAPP(c_List_Ofilter(_u20266, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20266), c_fNot), _u20267)), _u20268))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20266)), _u20268)) )).
% 27.71/27.96 cnf(matrix-7938, plain, ( ~hBOOL(hAPP(_u20273, _u20275)) | ( hAPP(c_List_Ofilter(_u20277, _u20273), hAPP(hAPP(c_List_Olist_OCons(_u20277), _u20275), _u20279)) = hAPP(hAPP(c_List_Olist_OCons(_u20277), _u20275), hAPP(c_List_Ofilter(_u20277, _u20273), _u20279))) )).
% 27.71/27.96 cnf(matrix-7939, plain, ( hBOOL(hAPP(_u20274, _u20276)) | ( hAPP(c_List_Ofilter(_u20278, _u20274), hAPP(hAPP(c_List_Olist_OCons(_u20278), _u20276), _u20280)) = hAPP(c_List_Ofilter(_u20278, _u20274), _u20280)) )).
% 27.71/27.96 cnf(matrix-7940, plain, ( ( hAPP(c_List_Ofilter(_u20286, _u20288), _u20290) != _u20290) | ~hBOOL(hAPP(hAPP(c_member(_u20286), _u20281), hAPP(c_List_Oset(_u20286), _u20290))) | hBOOL(hAPP(_u20288, _u20281)) )).
% 27.71/27.96 cnf(matrix-7941, plain, ( ( hAPP(c_List_Ofilter(_u20287, _u20289), _u20291) = _u20291) | hBOOL(hAPP(hAPP(c_member(_u20287), skolem491(_u20291, _u20289, _u20287)), hAPP(c_List_Oset(_u20287), _u20291))) )).
% 27.71/27.96 cnf(matrix-7942, plain, ( ( hAPP(c_List_Ofilter(_u20287, _u20289), _u20291) = _u20291) | ~hBOOL(hAPP(_u20289, skolem491(_u20291, _u20289, _u20287))) )).
% 27.71/27.96 cnf(matrix-7943, plain, ( ~class_Orderings_Olinorder(_u20292) | hBOOL(hAPP(_u20293, _u20294)) | ( hAPP(c_List_Ofilter(_u20295, _u20293), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20295, _u20292, _u20296), _u20294), _u20297)) = hAPP(c_List_Ofilter(_u20295, _u20293), _u20297)) )).
% 27.71/27.96 cnf(matrix-7944, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20298), _u20299)) | hBOOL(hAPP(c_List_Odistinct(_u20298), hAPP(c_List_Ofilter(_u20298, _u20300), _u20299))) )).
% 27.71/27.96 cnf(matrix-7945, plain, ( hBOOL(hAPP(_u20301, _u20302)) | ( c_List_Oremove1(_u20303, _u20302, hAPP(c_List_Ofilter(_u20303, _u20301), _u20304)) = hAPP(c_List_Ofilter(_u20303, _u20301), _u20304)) )).
% 27.71/27.96 cnf(matrix-7946, plain, ( ( hAPP(c_List_Ofilter(_u20305, _u20306), c_List_Oremove1(_u20305, _u20307, _u20308)) = c_List_Oremove1(_u20305, _u20307, hAPP(c_List_Ofilter(_u20305, _u20306), _u20308))) )).
% 27.71/27.96 cnf(matrix-7947, plain, ( ( hAPP(c_List_Ofilter(_u20309, _u20310), hAPP(c_List_Ofilter(_u20309, _u20311), _u20312)) = hAPP(c_List_Ofilter(_u20309, hAPP(hAPP(c_COMBS(_u20309, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20309), c_fconj), _u20311)), _u20310)), _u20312)) )).
% 27.71/27.96 cnf(matrix-7948, plain, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u20313), tc_List_Olist(_u20313)), c_List_Opartition(_u20313, _u20314, _u20315)) = hAPP(c_List_Ofilter(_u20313, _u20314), _u20315)) )).
% 27.71/27.96 cnf(matrix-7949, plain, ( ( hAPP(c_List_Ofilter(_u20321, _u20323), _u20325) != c_List_Olist_ONil(_u20321)) | ~hBOOL(hAPP(hAPP(c_member(_u20321), _u20316), hAPP(c_List_Oset(_u20321), _u20325))) | ~hBOOL(hAPP(_u20323, _u20316)) )).
% 27.71/27.96 cnf(matrix-7950, plain, ( ( hAPP(c_List_Ofilter(_u20322, _u20324), _u20326) = c_List_Olist_ONil(_u20322)) | hBOOL(hAPP(hAPP(c_member(_u20322), skolem492(_u20326, _u20324, _u20322)), hAPP(c_List_Oset(_u20322), _u20326))) )).
% 27.71/27.96 cnf(matrix-7951, plain, ( ( hAPP(c_List_Ofilter(_u20322, _u20324), _u20326) = c_List_Olist_ONil(_u20322)) | hBOOL(hAPP(_u20324, skolem492(_u20326, _u20324, _u20322))) )).
% 27.71/27.96 cnf(matrix-7952, plain, ( ( hAPP(c_List_Ofilter(_u20327, _u20328), c_List_Olist_ONil(_u20327)) = c_List_Olist_ONil(_u20327)) )).
% 27.71/27.96 cnf(matrix-7953, plain, ( ( hAPP(c_List_Oset(_u20329), hAPP(c_List_Ofilter(_u20329, _u20330), _u20331)) = hAPP(c_Set_OCollect(_u20329), hAPP(hAPP(c_COMBS(_u20329, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20329), c_fconj), hAPP(hAPP(c_COMBC(_u20329, tc_fun(_u20329, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20329)), hAPP(c_List_Oset(_u20329), _u20331)))), _u20330))) )).
% 27.71/27.96 cnf(matrix-7954, plain, ( ( c_List_Opartition(_u20332, _u20333, _u20334) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20332), tc_List_Olist(_u20332)), hAPP(c_List_Ofilter(_u20332, _u20333), _u20334)), hAPP(c_List_Ofilter(_u20332, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u20332, c_fNot), _u20333)), _u20334))) )).
% 27.71/27.96 cnf(matrix-7955, plain, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u20335), tc_List_Olist(_u20335)), c_List_Opartition(_u20335, _u20336, _u20337)) = hAPP(c_List_Ofilter(_u20335, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u20335, c_fNot), _u20336)), _u20337)) )).
% 27.71/27.96 cnf(matrix-7956, plain, ( ( hAPP(c_List_Ofilter(_u20338, _u20339), hAPP(hAPP(c_List_Omap(_u20340, _u20338), _u20341), _u20342)) = hAPP(hAPP(c_List_Omap(_u20340, _u20338), _u20341), hAPP(c_List_Ofilter(_u20340, hAPP(c_Fun_Ocomp(_u20338, tc_HOL_Obool, _u20340, _u20339), _u20341)), _u20342))) )).
% 27.71/27.96 cnf(matrix-7957, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20343), _u20344), hAPP(c_List_Oset(_u20343), _u20345))) | hBOOL(hAPP(_u20346, _u20344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20343)), hAPP(c_List_Ofilter(_u20343, _u20346), _u20345))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20343)), _u20345))) )).
% 27.71/27.96 cnf(matrix-7958, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20347, tc_HOL_Obool)), hAPP(c_List_Oset(_u20347), _u20348)), hAPP(hAPP(c_Set_Oinsert(_u20347), _u20349), c_Orderings_Obot__class_Obot(tc_fun(_u20347, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u20347), hAPP(c_List_Ofilter(_u20347, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20347), c_fNot), hAPP(hAPP(c_COMBC(_u20347, _u20347, tc_HOL_Obool), c_fequal), _u20349))), _u20348))) )).
% 27.71/27.96 cnf(matrix-7959, plain, ( ( c_List_Opartition(_u20352, _u20353, _u20354) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20352), tc_List_Olist(_u20352)), _u20355), _u20356)) | ~hBOOL(hAPP(hAPP(c_member(_u20352), _u20350), hAPP(c_List_Oset(_u20352), _u20355))) | hBOOL(hAPP(_u20353, _u20350)) )).
% 27.71/27.96 cnf(matrix-7960, plain, ( ( c_List_Opartition(_u20352, _u20353, _u20354) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20352), tc_List_Olist(_u20352)), _u20355), _u20356)) | ~hBOOL(hAPP(hAPP(c_member(_u20352), _u20351), hAPP(c_List_Oset(_u20352), _u20356))) | ~hBOOL(hAPP(_u20353, _u20351)) )).
% 27.71/27.96 cnf(matrix-7961, plain, ( ( c_List_Opartition(_u20357, _u20358, c_List_Olist_ONil(_u20357)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20357), tc_List_Olist(_u20357)), c_List_Olist_ONil(_u20357)), c_List_Olist_ONil(_u20357))) )).
% 27.71/27.96 cnf(matrix-7962, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20359), _u20360)) | ( hAPP(c_List_Ofilter(_u20359, hAPP(hAPP(c_COMBC(_u20359, tc_fun(_u20359, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20359)), hAPP(c_List_Oset(_u20359), c_List_Osublist(_u20359, _u20360, _u20361)))), _u20360) = c_List_Osublist(_u20359, _u20360, _u20361)) )).
% 27.71/27.96 cnf(matrix-7963, plain, ( ( c_List_Opartition(_u20362, _u20363, hAPP(hAPP(c_List_Olist_OCons(_u20362), _u20364), _u20365)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20362), tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u20362), tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20362), tc_fun(tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), tc_fun(tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), tc_List_Olist(_u20362)), c_COMBS(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), tc_fun(tc_List_Olist(_u20362), tc_fun(tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), tc_List_Olist(_u20362)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_fun(tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), tc_List_Olist(_u20362)), hAPP(c_If(tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), hAPP(_u20363, _u20364)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20362), tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), tc_List_Olist(_u20362)), c_Product__Type_OPair(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), hAPP(c_List_Olist_OCons(_u20362), _u20364))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20362), tc_fun(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362))), tc_fun(tc_fun(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_fun(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), tc_List_Olist(_u20362)), c_COMBB(tc_List_Olist(_u20362), tc_prod(tc_List_Olist(_u20362), tc_List_Olist(_u20362)), tc_List_Olist(_u20362))), c_Product__Type_OPair(tc_List_Olist(_u20362), tc_List_Olist(_u20362)))), hAPP(c_List_Olist_OCons(_u20362), _u20364)))), c_List_Opartition(_u20362, _u20363, _u20365))) )).
% 27.71/27.96 cnf(matrix-7964, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20366)), hAPP(c_List_Ofilter(_u20366, _u20367), _u20368)) = 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(_u20366)), _u20368)))), hAPP(hAPP(c_COMBB(_u20366, tc_HOL_Obool, tc_Nat_Onat), _u20367), hAPP(c_List_Onth(_u20366), _u20368)))))) )).
% 27.71/27.96 cnf(matrix-7965, plain, ( ( c_List_Omap__filter(_u20369, _u20370, _u20371, _u20372) = hAPP(hAPP(c_List_Omap(_u20369, _u20370), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u20370), _u20370, _u20369, c_Option_Othe(_u20370)), _u20371)), hAPP(c_List_Ofilter(_u20369, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20369), c_fNot), hAPP(hAPP(c_COMBC(_u20369, tc_Option_Ooption(_u20370), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u20370), tc_fun(tc_Option_Ooption(_u20370), tc_HOL_Obool), _u20369), c_fequal), _u20371)), c_Option_Ooption_ONone(_u20370)))), _u20372))) )).
% 27.71/27.96 cnf(matrix-7966, plain, ( ( c_List_Ofoldr(tc_List_Olist(_u20373), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20373)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20373))), c_List_Otranspose(_u20373, _u20374), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20373))), hAPP(c_List_Ofilter(tc_List_Olist(_u20373), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20373)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20373), tc_List_Olist(_u20373), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20373)))), _u20374))) )).
% 27.71/27.96 cnf(matrix-7967, plain, ( ( hAPP(c_Map_Omap__of(_u20375, _u20376, _u20377), _u20378) != hAPP(c_Option_Ooption_OSome(_u20376), _u20379)) | ~hBOOL(hAPP(hAPP(_u20380, _u20378), _u20379)) | ( hAPP(c_Map_Omap__of(_u20375, _u20376, hAPP(c_List_Ofilter(tc_prod(_u20375, _u20376), hAPP(c_Product__Type_Oprod_Oprod__case(_u20375, _u20376, tc_HOL_Obool), _u20380)), _u20377)), _u20378) = hAPP(c_Option_Ooption_OSome(_u20376), _u20379)) )).
% 27.71/27.96 cnf(matrix-7968, plain, ( ( c_List_Otranspose(_u20381, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20382), tc_List_Olist(_u20381)), hAPP(c_List_Omap(_u20382, _u20381), _u20383)), _u20384)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20382), tc_List_Olist(_u20381)), hAPP(c_List_Omap(_u20382, _u20381), _u20383)), c_List_Otranspose(_u20382, _u20384))) )).
% 27.71/27.96 cnf(matrix-7969, plain, ( ( c_List_Omap__filter(_u20385, _u20386, _u20387, hAPP(hAPP(c_List_Olist_OCons(_u20385), _u20388), _u20389)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(_u20386), _u20386, c_List_Omap__filter(_u20385, _u20386, _u20387, _u20389), hAPP(hAPP(c_COMBC(_u20386, tc_List_Olist(_u20386), tc_List_Olist(_u20386)), c_List_Olist_OCons(_u20386)), c_List_Omap__filter(_u20385, _u20386, _u20387, _u20389))), hAPP(_u20387, _u20388))) )).
% 27.71/27.96 cnf(matrix-7970, plain, ( ( c_List_Otranspose(_u20390, c_List_Olist_ONil(tc_List_Olist(_u20390))) = c_List_Olist_ONil(tc_List_Olist(_u20390))) )).
% 27.71/27.96 cnf(matrix-7971, plain, ( ( c_List_Omap__filter(_u20391, _u20392, _u20393, c_List_Olist_ONil(_u20391)) = c_List_Olist_ONil(_u20392)) )).
% 27.71/27.96 cnf(matrix-7972, plain, ( ( c_List_Otranspose(_u20398, _u20400) != c_List_Olist_ONil(tc_List_Olist(_u20398))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20398)), _u20394), hAPP(c_List_Oset(tc_List_Olist(_u20398)), _u20400))) | ( _u20394 = c_List_Olist_ONil(_u20398)) )).
% 27.71/27.96 cnf(matrix-7973, plain, ( ( c_List_Otranspose(_u20399, _u20401) = c_List_Olist_ONil(tc_List_Olist(_u20399))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20399)), skolem493(_u20401, _u20399)), hAPP(c_List_Oset(tc_List_Olist(_u20399)), _u20401))) )).
% 27.71/27.96 cnf(matrix-7974, plain, ( ( c_List_Otranspose(_u20399, _u20401) = c_List_Olist_ONil(tc_List_Olist(_u20399))) | ( skolem493(_u20401, _u20399) != c_List_Olist_ONil(_u20399)) )).
% 27.71/27.96 cnf(matrix-7975, plain, ( ( c_List_Otranspose(_u20402, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20402)), c_List_Olist_ONil(_u20402)), _u20403)) = c_List_Otranspose(_u20402, _u20403)) )).
% 27.71/27.96 cnf(matrix-7976, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u20404, tc_Nat_Onat), _u20404), c_Product__Type_Ofst(_u20404, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20404, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u20404, tc_Nat_Onat)), _u20405), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u20404, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u20404, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u20404, tc_Nat_Onat), _u20406), _u20407))) = hAPP(hAPP(c_List_Omap(tc_prod(_u20404, tc_Nat_Onat), _u20404), c_Product__Type_Ofst(_u20404, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20404, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u20404, tc_Nat_Onat)), _u20405), c_Product__Type_Osnd(_u20404, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u20404, tc_Nat_Onat), _u20406), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u20407))))) )).
% 27.71/27.96 cnf(matrix-7977, plain, ( ( c_Random_Oselect__weight(_u20408, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u20408), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u20408, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u20408, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u20408)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u20409)) = c_Random_Oselect__weight(_u20408, _u20409)) )).
% 27.71/27.96 cnf(matrix-7978, plain, ( ( c_Random_Opick(_u20410, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u20410), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u20410, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u20410, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u20410)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u20411)) = c_Random_Opick(_u20410, _u20411)) )).
% 27.71/27.96 cnf(matrix-7979, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20412), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20413))), c_List_Otranspose(_u20413, _u20414)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20413)), c_List_Otranspose(_u20413, _u20414)), _u20412) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20413), _u20413), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20413), tc_Nat_Onat, _u20413), c_List_Onth(_u20413)), _u20412)), hAPP(c_List_Ofilter(tc_List_Olist(_u20413), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20413)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20412)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20413)))), _u20414))) )).
% 27.71/27.96 cnf(matrix-7980, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20415))), c_List_Otranspose(_u20415, _u20416)) = c_List_Ofoldr(tc_List_Olist(_u20415), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20415)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20415))), _u20416, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 27.71/27.96 cnf(matrix-7981, plain, ( ( hAPP(hAPP(c_List_Omap(_u20417, _u20418), _u20419), hAPP(c_List_Ofilter(_u20417, _u20420), _u20421)) = c_List_Omap__filter(_u20417, _u20418, hAPP(hAPP(c_COMBC(_u20417, tc_Option_Ooption(_u20418), tc_Option_Ooption(_u20418)), hAPP(hAPP(c_COMBS(_u20417, tc_Option_Ooption(_u20418), tc_fun(tc_Option_Ooption(_u20418), tc_Option_Ooption(_u20418))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u20418), tc_fun(tc_Option_Ooption(_u20418), tc_Option_Ooption(_u20418))), _u20417), c_If(tc_Option_Ooption(_u20418))), _u20420)), hAPP(hAPP(c_COMBB(_u20418, tc_Option_Ooption(_u20418), _u20417), c_Option_Ooption_OSome(_u20418)), _u20419))), c_Option_Ooption_ONone(_u20418)), _u20421)) )).
% 27.71/27.96 cnf(matrix-7982, plain, ( ~class_Orderings_Olinorder(_u20422) | ~hBOOL(hAPP(hAPP(c_member(_u20423), _u20424), hAPP(c_List_Oset(_u20423), _u20425))) | ~c_List_Olinorder__class_Osorted(_u20422, hAPP(hAPP(c_List_Omap(_u20423, _u20422), _u20426), _u20425)) | ( hAPP(c_List_Ohd(_u20423), hAPP(c_List_Ofilter(_u20423, hAPP(hAPP(c_COMBB(_u20422, tc_HOL_Obool, _u20423), hAPP(c_fequal, hAPP(_u20426, _u20424))), _u20426)), _u20425)) != _u20424) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20423, _u20422, _u20426), _u20424), c_List_Oremove1(_u20423, _u20424, _u20425)) = _u20425) )).
% 27.71/27.96 cnf(matrix-7983, plain, ( ( c_List_Osublist(_u20427, _u20428, _u20429) = hAPP(hAPP(c_List_Omap(tc_prod(_u20427, tc_Nat_Onat), _u20427), c_Product__Type_Ofst(_u20427, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20427, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20427, 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(_u20427, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u20427, tc_Nat_Onat))), _u20429)), hAPP(hAPP(c_List_Ozip(_u20427, tc_Nat_Onat), _u20428), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20427)), _u20428)))))) )).
% 27.71/27.96 cnf(matrix-7984, plain, ( ~class_Orderings_Olinorder(_u20430) | c_List_Olinorder__class_Osorted(_u20430, c_List_Olist_ONil(_u20430)) )).
% 27.71/27.96 cnf(matrix-7985, plain, ( ~class_Orderings_Olinorder(_u20431) | c_List_Olinorder__class_Osorted(_u20431, hAPP(hAPP(c_List_Olist_OCons(_u20431), _u20432), c_List_Olist_ONil(_u20431))) )).
% 27.71/27.96 cnf(matrix-7986, plain, ( ~class_Orderings_Olinorder(_u20433) | c_List_Olinorder__class_Osorted(_u20433, hAPP(c_List_Ofilter(_u20433, hAPP(hAPP(c_COMBC(_u20433, _u20433, tc_HOL_Obool), c_fequal), hAPP(_u20434, _u20435))), _u20435)) )).
% 27.71/27.96 cnf(matrix-7987, plain, ( ~class_Orderings_Olinorder(_u20436) | c_List_Olinorder__class_Osorted(_u20436, hAPP(hAPP(c_List_Omap(_u20437, _u20436), _u20438), hAPP(c_List_Ofilter(_u20437, hAPP(hAPP(c_COMBC(_u20437, _u20436, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20436, tc_fun(_u20436, tc_HOL_Obool), _u20437), c_fequal), _u20438)), hAPP(_u20439, _u20440))), _u20440))) )).
% 27.71/27.96 cnf(matrix-7988, plain, ( ~class_Orderings_Olinorder(_u20441) | ~c_List_Olinorder__class_Osorted(_u20441, hAPP(hAPP(c_List_Omap(_u20442, _u20441), _u20443), _u20444)) | c_List_Olinorder__class_Osorted(_u20441, hAPP(hAPP(c_List_Omap(_u20442, _u20441), _u20443), hAPP(c_List_Ofilter(_u20442, _u20445), _u20444))) )).
% 27.71/27.96 cnf(matrix-7989, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u20446, _u20447)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20447), _u20446)) )).
% 27.71/27.96 cnf(matrix-7990, plain, ( ~class_Orderings_Olinorder(_u20448) | ( _u20449 = c_List_Olist_ONil(_u20448)) | ~c_List_Olinorder__class_Osorted(_u20448, _u20449) | c_List_Olinorder__class_Osorted(_u20448, c_List_Obutlast(_u20448, _u20449)) )).
% 27.71/27.96 cnf(matrix-7991, plain, ( ( c_List_Oupt(_u20454, _u20456) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20458), _u20460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20454), _u20456)) )).
% 27.71/27.96 cnf(matrix-7992, plain, ( ( c_List_Oupt(_u20454, _u20456) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20458), _u20460)) | ( _u20454 = _u20458) )).
% 27.71/27.96 cnf(matrix-7993, plain, ( ( c_List_Oupt(_u20454, _u20456) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20458), _u20460)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20454), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20456) = _u20460) )).
% 27.71/27.96 cnf(matrix-7994, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20455), _u20457)) | ( _u20455 != _u20459) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20455), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20457) != _u20461) | ( c_List_Oupt(_u20455, _u20457) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20459), _u20461)) )).
% 27.71/27.96 cnf(matrix-7995, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20462), _u20463)), _u20464)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u20463), c_List_Oupt(_u20462, _u20464)) = c_List_Oupt(_u20462, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20462), _u20463))) )).
% 27.71/27.96 cnf(matrix-7996, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20465), _u20466)) | ( c_List_Oupt(_u20466, _u20465) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-7997, plain, ( ( c_List_Oupt(_u20469, _u20471) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u20471 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20471), _u20469)) )).
% 27.71/27.96 cnf(matrix-7998, plain, ( ( c_List_Oupt(_u20470, _u20472) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u20472 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-7999, plain, ( ( c_List_Oupt(_u20470, _u20472) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20472), _u20470)) )).
% 27.71/27.96 cnf(matrix-8000, plain, ( ~class_Orderings_Olinorder(_u20473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20473), _u20474), _u20475)) | ~c_List_Olinorder__class_Osorted(_u20473, hAPP(hAPP(c_List_Olist_OCons(_u20473), _u20475), _u20476)) | c_List_Olinorder__class_Osorted(_u20473, hAPP(hAPP(c_List_Olist_OCons(_u20473), _u20474), hAPP(hAPP(c_List_Olist_OCons(_u20473), _u20475), _u20476))) )).
% 27.71/27.96 cnf(matrix-8001, plain, ( ~class_Orderings_Olinorder(_u20477) | ~c_List_Olinorder__class_Osorted(_u20477, hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20478), hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20479), _u20480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20477), _u20478), _u20479)) )).
% 27.71/27.96 cnf(matrix-8002, plain, ( ~class_Orderings_Olinorder(_u20477) | ~c_List_Olinorder__class_Osorted(_u20477, hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20478), hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20479), _u20480))) | c_List_Olinorder__class_Osorted(_u20477, hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20479), _u20480)) )).
% 27.71/27.96 cnf(matrix-8003, plain, ( ~class_Orderings_Olinorder(_u20477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20477), _u20478), _u20479)) | ~c_List_Olinorder__class_Osorted(_u20477, hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20479), _u20480)) | c_List_Olinorder__class_Osorted(_u20477, hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20478), hAPP(hAPP(c_List_Olist_OCons(_u20477), _u20479), _u20480))) )).
% 27.71/27.96 cnf(matrix-8004, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20481), _u20482)) | ( c_List_Oupt(_u20481, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20482), _u20483)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20481, _u20482)), c_List_Oupt(_u20482, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20482), _u20483)))) )).
% 27.71/27.96 cnf(matrix-8005, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20486), _u20488)) | ( c_List_Oupt(_u20486, hAPP(c_Nat_OSuc, _u20488)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20486, _u20488)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20488), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 27.71/27.96 cnf(matrix-8006, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20487), _u20489)) | ( c_List_Oupt(_u20487, hAPP(c_Nat_OSuc, _u20489)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-8007, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20490), _u20491)) | ( c_List_Oupt(_u20490, hAPP(c_Nat_OSuc, _u20491)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20490, _u20491)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20491), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 27.71/27.96 cnf(matrix-8008, plain, ( ~class_Orderings_Olinorder(_u20494) | ~c_List_Olinorder__class_Osorted(_u20494, hAPP(hAPP(c_List_Olist_OCons(_u20494), _u20495), _u20496)) | c_List_Olinorder__class_Osorted(_u20494, _u20496) )).
% 27.71/27.96 cnf(matrix-8009, plain, ( ~class_Orderings_Olinorder(_u20494) | ~c_List_Olinorder__class_Osorted(_u20494, hAPP(hAPP(c_List_Olist_OCons(_u20494), _u20495), _u20496)) | ~hBOOL(hAPP(hAPP(c_member(_u20494), _u20492), hAPP(c_List_Oset(_u20494), _u20496))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20494), _u20495), _u20492)) )).
% 27.71/27.96 cnf(matrix-8010, plain, ( ~class_Orderings_Olinorder(_u20494) | c_List_Olinorder__class_Osorted(_u20494, hAPP(hAPP(c_List_Olist_OCons(_u20494), _u20495), _u20496)) | ~c_List_Olinorder__class_Osorted(_u20494, _u20496) | hBOOL(hAPP(hAPP(c_member(_u20494), skolem494(_u20496, _u20495, _u20494)), hAPP(c_List_Oset(_u20494), _u20496))) )).
% 27.71/27.96 cnf(matrix-8011, plain, ( ~class_Orderings_Olinorder(_u20494) | c_List_Olinorder__class_Osorted(_u20494, hAPP(hAPP(c_List_Olist_OCons(_u20494), _u20495), _u20496)) | ~c_List_Olinorder__class_Osorted(_u20494, _u20496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20494), _u20495), skolem494(_u20496, _u20495, _u20494))) )).
% 27.71/27.96 cnf(matrix-8012, plain, ( ~class_Orderings_Olinorder(_u20501) | ~c_List_Olinorder__class_Osorted(_u20501, hAPP(hAPP(c_List_Oappend(_u20501), _u20502), _u20503)) | c_List_Olinorder__class_Osorted(_u20501, _u20502) )).
% 27.71/27.96 cnf(matrix-8013, plain, ( ~class_Orderings_Olinorder(_u20501) | ~c_List_Olinorder__class_Osorted(_u20501, hAPP(hAPP(c_List_Oappend(_u20501), _u20502), _u20503)) | c_List_Olinorder__class_Osorted(_u20501, _u20503) )).
% 27.71/27.96 cnf(matrix-8014, plain, ( ~class_Orderings_Olinorder(_u20501) | ~c_List_Olinorder__class_Osorted(_u20501, hAPP(hAPP(c_List_Oappend(_u20501), _u20502), _u20503)) | ~hBOOL(hAPP(hAPP(c_member(_u20501), _u20498), hAPP(c_List_Oset(_u20501), _u20502))) | ~hBOOL(hAPP(hAPP(c_member(_u20501), _u20497), hAPP(c_List_Oset(_u20501), _u20503))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20501), _u20498), _u20497)) )).
% 27.71/27.96 cnf(matrix-8015, plain, ( ~class_Orderings_Olinorder(_u20501) | c_List_Olinorder__class_Osorted(_u20501, hAPP(hAPP(c_List_Oappend(_u20501), _u20502), _u20503)) | ~c_List_Olinorder__class_Osorted(_u20501, _u20502) | ~c_List_Olinorder__class_Osorted(_u20501, _u20503) | hBOOL(hAPP(hAPP(c_member(_u20501), skolem495(_u20503, _u20502, _u20501)), hAPP(c_List_Oset(_u20501), _u20502))) )).
% 27.71/27.96 cnf(matrix-8016, plain, ( ~class_Orderings_Olinorder(_u20501) | c_List_Olinorder__class_Osorted(_u20501, hAPP(hAPP(c_List_Oappend(_u20501), _u20502), _u20503)) | ~c_List_Olinorder__class_Osorted(_u20501, _u20502) | ~c_List_Olinorder__class_Osorted(_u20501, _u20503) | hBOOL(hAPP(hAPP(c_member(_u20501), skolem496(_u20503, _u20502, _u20501)), hAPP(c_List_Oset(_u20501), _u20503))) )).
% 27.71/27.96 cnf(matrix-8017, plain, ( ~class_Orderings_Olinorder(_u20501) | c_List_Olinorder__class_Osorted(_u20501, hAPP(hAPP(c_List_Oappend(_u20501), _u20502), _u20503)) | ~c_List_Olinorder__class_Osorted(_u20501, _u20502) | ~c_List_Olinorder__class_Osorted(_u20501, _u20503) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20501), skolem495(_u20503, _u20502, _u20501)), skolem496(_u20503, _u20502, _u20501))) )).
% 27.71/27.96 cnf(matrix-8018, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u20504), c_List_Oupt(_u20505, _u20506)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20505), _u20504), _u20506)) )).
% 27.71/27.96 cnf(matrix-8019, plain, ( ~class_Orderings_Olinorder(_u20507) | ~c_List_Olinorder__class_Osorted(_u20507, _u20508) | c_List_Olinorder__class_Osorted(_u20507, hAPP(hAPP(c_List_Odrop(_u20507), _u20509), _u20508)) )).
% 27.71/27.96 cnf(matrix-8020, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20510), _u20511)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u20510, _u20511)) = _u20510) )).
% 27.71/27.96 cnf(matrix-8021, plain, ( ~class_Orderings_Olinorder(_u20512) | ~c_List_Olinorder__class_Osorted(_u20512, _u20513) | c_List_Olinorder__class_Osorted(_u20512, c_List_Olinorder__class_Oinsort__insert__key(_u20512, _u20512, c_COMBI(_u20512), _u20514, _u20513)) )).
% 27.71/27.96 cnf(matrix-8022, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20517), _u20519)) | ( c_List_Oupt(_u20517, _u20519) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20517), c_List_Oupt(hAPP(c_Nat_OSuc, _u20517), _u20519))) )).
% 27.71/27.96 cnf(matrix-8023, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20518), _u20520)) | ( c_List_Oupt(_u20518, _u20520) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-8024, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20521), _u20522)) | ( c_List_Oupt(_u20521, _u20522) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20521), c_List_Oupt(hAPP(c_Nat_OSuc, _u20521), _u20522))) )).
% 27.71/27.96 cnf(matrix-8025, plain, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20523, _u20524)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20523), _u20524)) )).
% 27.71/27.96 cnf(matrix-8026, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20525), _u20526) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20525, _u20526))) )).
% 27.71/27.96 cnf(matrix-8027, plain, ( ~class_Orderings_Olinorder(_u20527) | ~c_List_Olinorder__class_Osorted(_u20527, _u20528) | ~hBOOL(hAPP(c_List_Odistinct(_u20527), _u20528)) | ~c_List_Olinorder__class_Osorted(_u20527, _u20529) | ~hBOOL(hAPP(c_List_Odistinct(_u20527), _u20529)) | ( hAPP(c_List_Oset(_u20527), _u20528) != hAPP(c_List_Oset(_u20527), _u20529)) | ( _u20528 = _u20529) )).
% 27.71/27.96 cnf(matrix-8028, plain, ( ~class_Orderings_Olinorder(_u20530) | ~c_List_Olinorder__class_Osorted(_u20530, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20530, _u20530, c_COMBI(_u20530)), _u20531), _u20532)) | c_List_Olinorder__class_Osorted(_u20530, _u20532) )).
% 27.71/27.96 cnf(matrix-8029, plain, ( ~class_Orderings_Olinorder(_u20530) | ~c_List_Olinorder__class_Osorted(_u20530, _u20532) | c_List_Olinorder__class_Osorted(_u20530, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20530, _u20530, c_COMBI(_u20530)), _u20531), _u20532)) )).
% 27.71/27.96 cnf(matrix-8030, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u20533, _u20534))) )).
% 27.71/27.96 cnf(matrix-8031, plain, ( ~class_Orderings_Olinorder(_u20535) | ~c_List_Olinorder__class_Osorted(_u20535, _u20536) | c_List_Olinorder__class_Osorted(_u20535, c_List_Oremove1(_u20535, _u20537, _u20536)) )).
% 27.71/27.96 cnf(matrix-8032, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u20538, _u20539)) )).
% 27.71/27.96 cnf(matrix-8033, plain, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u20540, _u20541)) )).
% 27.71/27.96 cnf(matrix-8034, plain, ( ( c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20542), _u20543)) = c_List_Oupt(_u20542, _u20543)) )).
% 27.71/27.96 cnf(matrix-8035, plain, ( ( c_List_Oupt(_u20544, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-8036, plain, ( ~class_Orderings_Olinorder(_u20545) | c_List_Olinorder__class_Osorted(_u20545, c_List_Olist_ONil(_u20545)) )).
% 27.71/27.96 cnf(matrix-8037, plain, ( ~class_Orderings_Olinorder(_u20546) | ~c_List_Olinorder__class_Osorted(_u20546, _u20547) | c_List_Olinorder__class_Osorted(_u20546, hAPP(hAPP(c_List_Otake(_u20546), _u20548), _u20547)) )).
% 27.71/27.96 cnf(matrix-8038, plain, ( ~class_Orderings_Olinorder(_u20549) | ~c_List_Olinorder__class_Osorted(_u20549, _u20550) | c_List_Olinorder__class_Osorted(_u20549, hAPP(c_List_Otl(_u20549), _u20550)) )).
% 27.71/27.96 cnf(matrix-8039, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20553)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20555))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20553), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20555)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20553)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20553)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20555)))) )).
% 27.71/27.96 cnf(matrix-8040, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20554)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20556))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20554), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20556)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-8041, plain, ( ~class_Orderings_Olinorder(_u20557) | ~c_List_Olinorder__class_Osorted(_u20557, hAPP(hAPP(c_List_Omap(_u20558, _u20557), _u20559), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20558, _u20557, _u20559), _u20560), _u20561))) | c_List_Olinorder__class_Osorted(_u20557, hAPP(hAPP(c_List_Omap(_u20558, _u20557), _u20559), _u20561)) )).
% 27.71/27.96 cnf(matrix-8042, plain, ( ~class_Orderings_Olinorder(_u20557) | ~c_List_Olinorder__class_Osorted(_u20557, hAPP(hAPP(c_List_Omap(_u20558, _u20557), _u20559), _u20561)) | c_List_Olinorder__class_Osorted(_u20557, hAPP(hAPP(c_List_Omap(_u20558, _u20557), _u20559), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20558, _u20557, _u20559), _u20560), _u20561))) )).
% 27.71/27.96 cnf(matrix-8043, plain, ( ~class_Orderings_Olinorder(_u20562) | ~c_List_Olinorder__class_Osorted(_u20562, hAPP(hAPP(c_List_Omap(_u20563, _u20562), _u20564), _u20565)) | c_List_Olinorder__class_Osorted(_u20562, hAPP(hAPP(c_List_Omap(_u20563, _u20562), _u20564), c_List_Oremove1(_u20563, _u20566, _u20565))) )).
% 27.71/27.96 cnf(matrix-8044, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u20567, _u20568)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u20567), hAPP(c_Nat_OSuc, _u20568))) )).
% 27.71/27.96 cnf(matrix-8045, plain, ( ~class_Orderings_Olinorder(_u20569) | ~c_List_Olinorder__class_Osorted(_u20569, hAPP(hAPP(c_List_Omap(_u20570, _u20569), _u20571), _u20572)) | c_List_Olinorder__class_Osorted(_u20569, hAPP(hAPP(c_List_Omap(_u20570, _u20569), _u20571), c_List_Olinorder__class_Oinsort__insert__key(_u20570, _u20569, _u20571, _u20573, _u20572))) )).
% 27.71/27.96 cnf(matrix-8046, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20574), _u20575)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u20574, _u20575)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20575), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 27.71/27.96 cnf(matrix-8047, plain, ( ~class_Orderings_Olinorder(_u20576) | ~c_List_Olinorder__class_Osorted(_u20576, hAPP(hAPP(c_List_Omap(_u20577, _u20576), _u20578), _u20579)) | ~hBOOL(hAPP(_u20580, _u20581)) | ( hAPP(c_List_Ofilter(_u20577, _u20580), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20577, _u20576, _u20578), _u20581), _u20579)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20577, _u20576, _u20578), _u20581), hAPP(c_List_Ofilter(_u20577, _u20580), _u20579))) )).
% 27.71/27.96 cnf(matrix-8048, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20582), hAPP(c_List_Onth(_u20582), _u20583)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20582)), _u20583))) = _u20583) )).
% 27.71/27.96 cnf(matrix-8049, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u20584, _u20585) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20584, hAPP(c_Nat_OSuc, _u20585)))) )).
% 27.71/27.96 cnf(matrix-8050, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u20586) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20586))) )).
% 27.71/27.96 cnf(matrix-8051, plain, ( ~class_Groups_Ocomm__monoid__add(_u20587) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u20587), _u20588), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20589, _u20590))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u20587), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20587), _u20588), c_List_Oupt(_u20589, _u20590)))) )).
% 27.71/27.96 cnf(matrix-8052, plain, ( ~class_Groups_Ocomm__monoid__add(_u20591) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u20591), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20591), _u20592), c_List_Oupt(_u20593, _u20594))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u20591), _u20592), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20593, _u20594)))) )).
% 27.71/27.96 cnf(matrix-8053, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20595), _u20596)), _u20597)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u20595, _u20597)), _u20596) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20595), _u20596)) )).
% 27.71/27.96 cnf(matrix-8054, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u20598, _u20599) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u20598), hAPP(c_Nat_OSuc, _u20599)))) )).
% 27.71/27.96 cnf(matrix-8055, plain, ( ~class_Orderings_Olinorder(_u20602) | ~c_List_Olinorder__class_Osorted(_u20602, hAPP(hAPP(c_List_Olist_OCons(_u20602), _u20603), _u20604)) | ~hBOOL(hAPP(hAPP(c_member(_u20602), _u20600), hAPP(c_List_Oset(_u20602), _u20604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20602), _u20603), _u20600)) )).
% 27.71/27.96 cnf(matrix-8056, plain, ( ~class_Orderings_Olinorder(_u20602) | ~c_List_Olinorder__class_Osorted(_u20602, hAPP(hAPP(c_List_Olist_OCons(_u20602), _u20603), _u20604)) | c_List_Olinorder__class_Osorted(_u20602, _u20604) )).
% 27.71/27.96 cnf(matrix-8057, plain, ( ~class_Orderings_Olinorder(_u20602) | c_List_Olinorder__class_Osorted(_u20602, hAPP(hAPP(c_List_Olist_OCons(_u20602), _u20603), _u20604)) | ~c_List_Olinorder__class_Osorted(_u20602, _u20604) | hBOOL(hAPP(hAPP(c_member(_u20602), skolem497(_u20604, _u20603, _u20602)), hAPP(c_List_Oset(_u20602), _u20604))) )).
% 27.71/27.96 cnf(matrix-8058, plain, ( ~class_Orderings_Olinorder(_u20602) | c_List_Olinorder__class_Osorted(_u20602, hAPP(hAPP(c_List_Olist_OCons(_u20602), _u20603), _u20604)) | ~c_List_Olinorder__class_Osorted(_u20602, _u20604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20602), _u20603), skolem497(_u20604, _u20603, _u20602))) )).
% 27.71/27.96 cnf(matrix-8059, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u20605, _u20606) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u20605), _u20606))) )).
% 27.71/27.96 cnf(matrix-8060, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20607), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20608), _u20609))) | ( hAPP(hAPP(c_List_Onth(_u20610), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20610), _u20611), c_List_Oupt(_u20609, _u20608))), _u20607) = hAPP(_u20611, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20609), _u20607))) )).
% 27.71/27.96 cnf(matrix-8061, plain, ( ~class_Orderings_Olinorder(_u20612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20612), _u20613)) | ( hAPP(c_List_Oset(_u20612), c_List_Olinorder__class_Osorted__list__of__set(_u20612, _u20613)) = _u20613) )).
% 27.71/27.96 cnf(matrix-8062, plain, ( ~class_Orderings_Olinorder(_u20612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20612), _u20613)) | c_List_Olinorder__class_Osorted(_u20612, c_List_Olinorder__class_Osorted__list__of__set(_u20612, _u20613)) )).
% 27.71/27.96 cnf(matrix-8063, plain, ( ~class_Orderings_Olinorder(_u20612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20612), _u20613)) | hBOOL(hAPP(c_List_Odistinct(_u20612), c_List_Olinorder__class_Osorted__list__of__set(_u20612, _u20613))) )).
% 27.71/27.96 cnf(matrix-8064, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u20614) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u20614)))) )).
% 27.71/27.96 cnf(matrix-8065, plain, ( ~class_Orderings_Olinorder(_u20615) | ~hBOOL(hAPP(hAPP(c_member(_u20615), _u20616), hAPP(c_List_Oset(_u20615), _u20617))) | ~c_List_Olinorder__class_Osorted(_u20615, _u20617) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20615, _u20615, c_COMBI(_u20615)), _u20616), c_List_Oremove1(_u20615, _u20616, _u20617)) = _u20617) )).
% 27.71/27.96 cnf(matrix-8066, plain, ( ~class_Orderings_Olinorder(_u20622) | ~c_List_Olinorder__class_Osorted(_u20622, _u20623) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20619), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20622)), _u20623))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20618), _u20619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20622), hAPP(hAPP(c_List_Onth(_u20622), _u20623), _u20618)), hAPP(hAPP(c_List_Onth(_u20622), _u20623), _u20619))) )).
% 27.71/27.96 cnf(matrix-8067, plain, ( ~class_Orderings_Olinorder(_u20622) | c_List_Olinorder__class_Osorted(_u20622, _u20623) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem498(_u20623, _u20622)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20622)), _u20623))) )).
% 27.71/27.96 cnf(matrix-8068, plain, ( ~class_Orderings_Olinorder(_u20622) | c_List_Olinorder__class_Osorted(_u20622, _u20623) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem499(_u20623, _u20622)), skolem498(_u20623, _u20622))) )).
% 27.71/27.96 cnf(matrix-8069, plain, ( ~class_Orderings_Olinorder(_u20622) | c_List_Olinorder__class_Osorted(_u20622, _u20623) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20622), hAPP(hAPP(c_List_Onth(_u20622), _u20623), skolem499(_u20623, _u20622))), hAPP(hAPP(c_List_Onth(_u20622), _u20623), skolem498(_u20623, _u20622)))) )).
% 27.71/27.96 cnf(matrix-8070, plain, ( ~class_Orderings_Olinorder(_u20624) | ~c_List_Olinorder__class_Osorted(_u20624, _u20625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20626), _u20627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20627), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20624)), _u20625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20624), hAPP(hAPP(c_List_Onth(_u20624), _u20625), _u20626)), hAPP(hAPP(c_List_Onth(_u20624), _u20625), _u20627))) )).
% 27.71/27.96 cnf(matrix-8071, plain, ( ~class_Orderings_Olinorder(_u20628) | ~c_Fun_Oinj__on(_u20629, _u20628, _u20630, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20629, tc_HOL_Obool)), hAPP(c_List_Oset(_u20629), _u20631)), hAPP(c_List_Oset(_u20629), _u20632))) | ~c_List_Olinorder__class_Osorted(_u20628, hAPP(hAPP(c_List_Omap(_u20629, _u20628), _u20630), _u20631)) | ~hBOOL(hAPP(c_List_Odistinct(_u20628), hAPP(hAPP(c_List_Omap(_u20629, _u20628), _u20630), _u20631))) | ~c_List_Olinorder__class_Osorted(_u20628, hAPP(hAPP(c_List_Omap(_u20629, _u20628), _u20630), _u20632)) | ~hBOOL(hAPP(c_List_Odistinct(_u20628), hAPP(hAPP(c_List_Omap(_u20629, _u20628), _u20630), _u20632))) | ( hAPP(c_List_Oset(_u20629), _u20631) != hAPP(c_List_Oset(_u20629), _u20632)) | ( _u20631 = _u20632) )).
% 27.71/27.96 cnf(matrix-8072, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u20633, tc_Nat_Onat), _u20633), c_Product__Type_Ofst(_u20633, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20633, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20633, 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(_u20633, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u20633, tc_Nat_Onat))), _u20634)), hAPP(hAPP(c_List_Ozip(_u20633, tc_Nat_Onat), _u20635), c_List_Oupt(_u20636, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20636), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20633)), _u20635)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u20633, tc_Nat_Onat), _u20633), c_Product__Type_Ofst(_u20633, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20633, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20633, 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(_u20633, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u20633, 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(_u20633, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u20633, tc_Nat_Onat))), _u20636))), _u20634)), hAPP(hAPP(c_List_Ozip(_u20633, tc_Nat_Onat), _u20635), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20633)), _u20635)))))) )).
% 27.71/27.96 cnf(matrix-8073, plain, ( ( _u20638 = c_List_Olist_ONil(tc_List_Olist(_u20639))) | ( c_List_Otranspose(_u20639, _u20638) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20639), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20639)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20639), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20639), tc_fun(tc_Nat_Onat, _u20639), tc_Nat_Onat), c_List_Onth(_u20639)), hAPP(c_List_Onth(tc_List_Olist(_u20639)), _u20638))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20639))), _u20638)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem500(_u20640, _u20639, _u20638)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20639))), _u20638))) )).
% 27.71/27.96 cnf(matrix-8074, plain, ( ( _u20638 = c_List_Olist_ONil(tc_List_Olist(_u20639))) | ( c_List_Otranspose(_u20639, _u20638) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20639), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20639)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20639), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20639), tc_fun(tc_Nat_Onat, _u20639), tc_Nat_Onat), c_List_Onth(_u20639)), hAPP(c_List_Onth(tc_List_Olist(_u20639)), _u20638))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20639))), _u20638)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20640))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20639)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20639)), _u20638), skolem500(_u20640, _u20639, _u20638))) != _u20640) )).
% 27.71/27.96 cnf(matrix-8075, plain, ( ( _u20640 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u20639, _u20638) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20639), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20639)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20639), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20639), tc_fun(tc_Nat_Onat, _u20639), tc_Nat_Onat), c_List_Onth(_u20639)), hAPP(c_List_Onth(tc_List_Olist(_u20639)), _u20638))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20639))), _u20638)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem500(_u20640, _u20639, _u20638)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20639))), _u20638))) )).
% 27.71/27.96 cnf(matrix-8076, plain, ( ( _u20640 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u20639, _u20638) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20639), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20639)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20639)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20639), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20639), tc_fun(tc_Nat_Onat, _u20639), tc_Nat_Onat), c_List_Onth(_u20639)), hAPP(c_List_Onth(tc_List_Olist(_u20639)), _u20638))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20639))), _u20638)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20640))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20639)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20639)), _u20638), skolem500(_u20640, _u20639, _u20638))) != _u20640) )).
% 27.71/27.96 cnf(matrix-8077, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20641)), c_List_Otranspose__rel(_u20641)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20641)), c_List_Olist_ONil(_u20641)), _u20642))) | ( c_List_Otranspose(_u20641, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20641)), c_List_Olist_ONil(_u20641)), _u20642)) = c_List_Otranspose(_u20641, _u20642)) )).
% 27.71/27.96 cnf(matrix-8078, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20643)), c_List_Otranspose__rel(_u20643)), c_List_Olist_ONil(tc_List_Olist(_u20643)))) | ( c_List_Otranspose(_u20643, c_List_Olist_ONil(tc_List_Olist(_u20643))) = c_List_Olist_ONil(tc_List_Olist(_u20643))) )).
% 27.71/27.96 cnf(matrix-8079, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20644), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20644))), _u20645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20646), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20644))), _u20645))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20644), _u20644), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20644), tc_Nat_Onat, _u20644), c_List_Onth(_u20644)), _u20646)), hAPP(c_List_Ofilter(tc_List_Olist(_u20644), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20644)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20646)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20644)))), c_List_Otranspose(_u20644, _u20645))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20644)), _u20645), _u20646)) )).
% 27.71/27.96 cnf(matrix-8080, plain, ( ( c_List_Oconcat(_u20647, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20647), tc_List_Olist(_u20647)), c_List_Olist_Olist__case(tc_List_Olist(_u20647), _u20647, c_List_Olist_ONil(_u20647), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20647), tc_fun(tc_List_Olist(_u20647), tc_List_Olist(_u20647)), _u20647), c_COMBK(tc_List_Olist(_u20647), tc_List_Olist(_u20647))), hAPP(hAPP(c_COMBC(_u20647, tc_List_Olist(_u20647), tc_List_Olist(_u20647)), c_List_Olist_OCons(_u20647)), c_List_Olist_ONil(_u20647))))), _u20648)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20647), _u20647), c_List_Ohd(_u20647)), hAPP(c_List_Ofilter(tc_List_Olist(_u20647), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20647)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20647), tc_List_Olist(_u20647), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20647)))), _u20648))) )).
% 27.71/27.96 cnf(matrix-8081, plain, ( c_Fun_Oinj__on(tc_List_Olist(_u20649), tc_List_Olist(_u20649), c_List_Orev(_u20649), _u20650) )).
% 27.71/27.96 cnf(matrix-8082, plain, ( ( hAPP(c_List_Ofilter(_u20651, _u20652), c_List_Oconcat(_u20651, _u20653)) = c_List_Oconcat(_u20651, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20651), tc_List_Olist(_u20651)), c_List_Ofilter(_u20651, _u20652)), _u20653))) )).
% 27.71/27.96 cnf(matrix-8083, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20654)), c_List_Oconcat(_u20654, _u20655)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20654), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20654))), _u20655))) )).
% 27.71/27.96 cnf(matrix-8084, plain, ( ( hAPP(c_List_Orev(_u20656), hAPP(hAPP(c_List_Olist_OCons(_u20656), _u20657), _u20658)) = hAPP(hAPP(c_List_Oappend(_u20656), hAPP(c_List_Orev(_u20656), _u20658)), hAPP(hAPP(c_List_Olist_OCons(_u20656), _u20657), c_List_Olist_ONil(_u20656)))) )).
% 27.71/27.96 cnf(matrix-8085, plain, ( ( hAPP(c_List_Orev(_u20663), _u20665) != hAPP(hAPP(c_List_Olist_OCons(_u20663), _u20667), _u20669)) | ( _u20665 = hAPP(hAPP(c_List_Oappend(_u20663), hAPP(c_List_Orev(_u20663), _u20669)), hAPP(hAPP(c_List_Olist_OCons(_u20663), _u20667), c_List_Olist_ONil(_u20663)))) )).
% 27.71/27.96 cnf(matrix-8086, plain, ( ( _u20666 != hAPP(hAPP(c_List_Oappend(_u20664), hAPP(c_List_Orev(_u20664), _u20670)), hAPP(hAPP(c_List_Olist_OCons(_u20664), _u20668), c_List_Olist_ONil(_u20664)))) | ( hAPP(c_List_Orev(_u20664), _u20666) = hAPP(hAPP(c_List_Olist_OCons(_u20664), _u20668), _u20670)) )).
% 27.71/27.96 cnf(matrix-8087, plain, ( ( c_List_Oconcat(_u20671, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20671)), _u20672), _u20673)) = hAPP(hAPP(c_List_Oappend(_u20671), _u20672), c_List_Oconcat(_u20671, _u20673))) )).
% 27.71/27.96 cnf(matrix-8088, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u20677), _u20679), c_List_Olist_ONil(_u20677)) != hAPP(c_List_Orev(_u20677), _u20681)) | ( _u20681 = hAPP(hAPP(c_List_Olist_OCons(_u20677), _u20679), c_List_Olist_ONil(_u20677))) )).
% 27.71/27.96 cnf(matrix-8089, plain, ( ( _u20682 != hAPP(hAPP(c_List_Olist_OCons(_u20678), _u20680), c_List_Olist_ONil(_u20678))) | ( hAPP(hAPP(c_List_Olist_OCons(_u20678), _u20680), c_List_Olist_ONil(_u20678)) = hAPP(c_List_Orev(_u20678), _u20682)) )).
% 27.71/27.96 cnf(matrix-8090, plain, ( ( hAPP(c_List_Orev(_u20686), _u20688) != hAPP(hAPP(c_List_Olist_OCons(_u20686), _u20690), c_List_Olist_ONil(_u20686))) | ( _u20688 = hAPP(hAPP(c_List_Olist_OCons(_u20686), _u20690), c_List_Olist_ONil(_u20686))) )).
% 27.71/27.96 cnf(matrix-8091, plain, ( ( _u20689 != hAPP(hAPP(c_List_Olist_OCons(_u20687), _u20691), c_List_Olist_ONil(_u20687))) | ( hAPP(c_List_Orev(_u20687), _u20689) = hAPP(hAPP(c_List_Olist_OCons(_u20687), _u20691), c_List_Olist_ONil(_u20687))) )).
% 27.71/27.96 cnf(matrix-8092, plain, ( ( c_List_Olist_ONil(_u20696) != c_List_Oconcat(_u20696, _u20698)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20696)), _u20692), hAPP(c_List_Oset(tc_List_Olist(_u20696)), _u20698))) | ( _u20692 = c_List_Olist_ONil(_u20696)) )).
% 27.71/27.96 cnf(matrix-8093, plain, ( ( c_List_Olist_ONil(_u20697) = c_List_Oconcat(_u20697, _u20699)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20697)), skolem501(_u20699, _u20697)), hAPP(c_List_Oset(tc_List_Olist(_u20697)), _u20699))) )).
% 27.71/27.96 cnf(matrix-8094, plain, ( ( c_List_Olist_ONil(_u20697) = c_List_Oconcat(_u20697, _u20699)) | ( skolem501(_u20699, _u20697) != c_List_Olist_ONil(_u20697)) )).
% 27.71/27.96 cnf(matrix-8095, plain, ( ( c_List_Oconcat(_u20704, _u20706) != c_List_Olist_ONil(_u20704)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20704)), _u20700), hAPP(c_List_Oset(tc_List_Olist(_u20704)), _u20706))) | ( _u20700 = c_List_Olist_ONil(_u20704)) )).
% 27.71/27.96 cnf(matrix-8096, plain, ( ( c_List_Oconcat(_u20705, _u20707) = c_List_Olist_ONil(_u20705)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20705)), skolem502(_u20707, _u20705)), hAPP(c_List_Oset(tc_List_Olist(_u20705)), _u20707))) )).
% 27.71/27.96 cnf(matrix-8097, plain, ( ( c_List_Oconcat(_u20705, _u20707) = c_List_Olist_ONil(_u20705)) | ( skolem502(_u20707, _u20705) != c_List_Olist_ONil(_u20705)) )).
% 27.71/27.96 cnf(matrix-8098, plain, ( ( hAPP(c_List_Orev(_u20710), _u20712) != c_List_Olist_ONil(_u20710)) | ( _u20712 = c_List_Olist_ONil(_u20710)) )).
% 27.71/27.96 cnf(matrix-8099, plain, ( ( _u20713 != c_List_Olist_ONil(_u20711)) | ( hAPP(c_List_Orev(_u20711), _u20713) = c_List_Olist_ONil(_u20711)) )).
% 27.71/27.96 cnf(matrix-8100, plain, ( ( c_List_Olist_ONil(_u20716) != hAPP(c_List_Orev(_u20716), _u20718)) | ( _u20718 = c_List_Olist_ONil(_u20716)) )).
% 27.71/27.96 cnf(matrix-8101, plain, ( ( _u20719 != c_List_Olist_ONil(_u20717)) | ( c_List_Olist_ONil(_u20717) = hAPP(c_List_Orev(_u20717), _u20719)) )).
% 27.71/27.96 cnf(matrix-8102, plain, ( ( c_List_Oconcat(_u20720, c_List_Olist_ONil(tc_List_Olist(_u20720))) = c_List_Olist_ONil(_u20720)) )).
% 27.71/27.96 cnf(matrix-8103, plain, ( ( hAPP(c_List_Orev(_u20721), c_List_Olist_ONil(_u20721)) = c_List_Olist_ONil(_u20721)) )).
% 27.71/27.96 cnf(matrix-8104, plain, ( ( hAPP(hAPP(c_List_Omap(_u20722, _u20723), _u20724), c_List_Oconcat(_u20722, _u20725)) = c_List_Oconcat(_u20723, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20722), tc_List_Olist(_u20723)), hAPP(c_List_Omap(_u20722, _u20723), _u20724)), _u20725))) )).
% 27.71/27.96 cnf(matrix-8105, plain, ( ( hAPP(c_List_Orev(_u20726), hAPP(hAPP(c_List_Omap(_u20727, _u20726), _u20728), _u20729)) = hAPP(hAPP(c_List_Omap(_u20727, _u20726), _u20728), hAPP(c_List_Orev(_u20727), _u20729))) )).
% 27.71/27.96 cnf(matrix-8106, plain, ( ( hAPP(c_List_Orev(_u20730), c_List_Oconcat(_u20730, _u20731)) = c_List_Oconcat(_u20730, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20730), tc_List_Olist(_u20730)), c_List_Orev(_u20730)), hAPP(c_List_Orev(tc_List_Olist(_u20730)), _u20731)))) )).
% 27.71/27.96 cnf(matrix-8107, plain, ( ( c_List_Oconcat(_u20732, _u20733) = hAPP(c_List_Ofoldl(tc_List_Olist(_u20732), tc_List_Olist(_u20732), c_List_Oappend(_u20732), c_List_Olist_ONil(_u20732)), _u20733)) )).
% 27.71/27.96 cnf(matrix-8108, plain, ( ( hAPP(c_List_Orev(_u20734), _u20735) = hAPP(c_List_Ofoldl(tc_List_Olist(_u20734), _u20734, hAPP(c_COMBC(_u20734, tc_List_Olist(_u20734), tc_List_Olist(_u20734)), c_List_Olist_OCons(_u20734)), c_List_Olist_ONil(_u20734)), _u20735)) )).
% 27.71/27.96 cnf(matrix-8109, plain, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u20736), tc_List_Olist(_u20736), c_List_Oappend(_u20736), _u20737), _u20738) = hAPP(hAPP(c_List_Oappend(_u20736), _u20737), c_List_Oconcat(_u20736, _u20738))) )).
% 27.71/27.96 cnf(matrix-8110, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20741), hAPP(c_List_Orev(_u20741), _u20743))) | hBOOL(hAPP(c_List_Odistinct(_u20741), _u20743)) )).
% 27.71/27.96 cnf(matrix-8111, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20742), _u20744)) | hBOOL(hAPP(c_List_Odistinct(_u20742), hAPP(c_List_Orev(_u20742), _u20744))) )).
% 27.71/27.96 cnf(matrix-8112, plain, ( ( c_List_Oconcat(_u20745, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u20745)), _u20746), _u20747)) = hAPP(hAPP(c_List_Oappend(_u20745), c_List_Oconcat(_u20745, _u20746)), c_List_Oconcat(_u20745, _u20747))) )).
% 27.71/27.96 cnf(matrix-8113, plain, ( ( hAPP(c_List_Orev(_u20748), hAPP(hAPP(c_List_Oappend(_u20748), _u20749), _u20750)) = hAPP(hAPP(c_List_Oappend(_u20748), hAPP(c_List_Orev(_u20748), _u20750)), hAPP(c_List_Orev(_u20748), _u20749))) )).
% 27.71/27.96 cnf(matrix-8114, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20751)), hAPP(c_List_Orev(_u20751), _u20752)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20751)), _u20752)) )).
% 27.71/27.96 cnf(matrix-8115, plain, ( ~class_Groups_Ocomm__monoid__add(_u20753) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u20753), hAPP(c_List_Orev(_u20753), _u20754)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u20753), _u20754)) )).
% 27.71/27.96 cnf(matrix-8116, plain, ( ( hAPP(c_List_Orev(_u20755), hAPP(c_List_Orev(_u20755), _u20756)) = _u20756) )).
% 27.71/27.96 cnf(matrix-8117, plain, ( ( hAPP(c_List_Orev(_u20760), _u20762) != _u20764) | ( _u20762 = hAPP(c_List_Orev(_u20760), _u20764)) )).
% 27.71/27.96 cnf(matrix-8118, plain, ( ( _u20763 != hAPP(c_List_Orev(_u20761), _u20765)) | ( hAPP(c_List_Orev(_u20761), _u20763) = _u20765) )).
% 27.71/27.96 cnf(matrix-8119, plain, ( ( _u20771 = _u20773) | ( hAPP(c_List_Orev(_u20769), _u20771) != hAPP(c_List_Orev(_u20769), _u20773)) )).
% 27.71/27.96 cnf(matrix-8120, plain, ( ( _u20772 != _u20774) | ( hAPP(c_List_Orev(_u20770), _u20772) = hAPP(c_List_Orev(_u20770), _u20774)) )).
% 27.71/27.96 cnf(matrix-8121, plain, ( ( hAPP(c_List_Ofoldl(_u20775, _u20776, _u20777, _u20778), _u20779) = c_List_Ofoldr(_u20776, _u20775, hAPP(c_COMBC(_u20775, _u20776, _u20775), _u20777), hAPP(c_List_Orev(_u20776), _u20779), _u20778)) )).
% 27.71/27.96 cnf(matrix-8122, plain, ( ( c_List_Ofoldr(_u20780, _u20781, _u20782, _u20783, _u20784) = hAPP(c_List_Ofoldl(_u20781, _u20780, hAPP(c_COMBC(_u20780, _u20781, _u20781), _u20782), _u20784), hAPP(c_List_Orev(_u20780), _u20783))) )).
% 27.71/27.96 cnf(matrix-8123, plain, ( ( hAPP(c_List_Oset(_u20785), c_List_Oconcat(_u20785, _u20786)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u20785), tc_fun(_u20785, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u20785)), _u20786)), c_List_Oset(_u20785))) )).
% 27.71/27.96 cnf(matrix-8124, plain, ( ( hAPP(c_List_Oset(_u20787), hAPP(c_List_Orev(_u20787), _u20788)) = hAPP(c_List_Oset(_u20787), _u20788)) )).
% 27.71/27.96 cnf(matrix-8125, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20789)), _u20790) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20791)), _u20792)) | ( hAPP(hAPP(c_List_Ozip(_u20789, _u20791), hAPP(c_List_Orev(_u20789), _u20790)), hAPP(c_List_Orev(_u20791), _u20792)) = hAPP(c_List_Orev(tc_prod(_u20789, _u20791)), hAPP(hAPP(c_List_Ozip(_u20789, _u20791), _u20790), _u20792))) )).
% 27.71/27.96 cnf(matrix-8126, plain, ( ( hAPP(c_List_Orev(_u20793), hAPP(c_List_Ofilter(_u20793, _u20794), _u20795)) = hAPP(c_List_Ofilter(_u20793, _u20794), hAPP(c_List_Orev(_u20793), _u20795))) )).
% 27.71/27.96 cnf(matrix-8127, plain, ( ( _u20796 = c_List_Olist_ONil(_u20797)) | ( hAPP(c_List_Ohd(_u20797), hAPP(c_List_Orev(_u20797), _u20796)) = c_List_Olast(_u20797, _u20796)) )).
% 27.71/27.96 cnf(matrix-8128, plain, ( ( _u20798 = c_List_Olist_ONil(_u20799)) | ( c_List_Olast(_u20799, hAPP(c_List_Orev(_u20799), _u20798)) = hAPP(c_List_Ohd(_u20799), _u20798)) )).
% 27.71/27.96 cnf(matrix-8129, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20800), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20800))), c_List_Otranspose(_u20800, _u20801)))) )).
% 27.71/27.96 cnf(matrix-8130, plain, ( ( hAPP(c_List_Orev(_u20802), hAPP(hAPP(c_List_Odrop(_u20802), _u20803), _u20804)) = hAPP(hAPP(c_List_Otake(_u20802), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20802)), _u20804)), _u20803)), hAPP(c_List_Orev(_u20802), _u20804))) )).
% 27.71/27.96 cnf(matrix-8131, plain, ( ( hAPP(c_List_Orev(_u20805), hAPP(hAPP(c_List_Otake(_u20805), _u20806), _u20807)) = hAPP(hAPP(c_List_Odrop(_u20805), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20805)), _u20807)), _u20806)), hAPP(c_List_Orev(_u20805), _u20807))) )).
% 27.71/27.96 cnf(matrix-8132, plain, ( ( hAPP(c_List_Orotate(_u20808, _u20809), hAPP(c_List_Orev(_u20808), _u20810)) = hAPP(c_List_Orev(_u20808), hAPP(c_List_Orotate(_u20808, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20808)), _u20810)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u20809, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20808)), _u20810)))), _u20810))) )).
% 27.71/27.96 cnf(matrix-8133, plain, ( ( c_List_Otranspose(_u20811, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20811)), hAPP(hAPP(c_List_Olist_OCons(_u20811), _u20812), _u20813)), _u20814)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20811)), hAPP(hAPP(c_List_Olist_OCons(_u20811), _u20812), c_List_Oconcat(_u20811, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20811), tc_List_Olist(_u20811)), c_List_Olist_Olist__case(tc_List_Olist(_u20811), _u20811, c_List_Olist_ONil(_u20811), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20811), tc_fun(tc_List_Olist(_u20811), tc_List_Olist(_u20811)), _u20811), c_COMBK(tc_List_Olist(_u20811), tc_List_Olist(_u20811))), hAPP(hAPP(c_COMBC(_u20811, tc_List_Olist(_u20811), tc_List_Olist(_u20811)), c_List_Olist_OCons(_u20811)), c_List_Olist_ONil(_u20811))))), _u20814)))), c_List_Otranspose(_u20811, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20811)), _u20813), c_List_Oconcat(tc_List_Olist(_u20811), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20811), tc_List_Olist(tc_List_Olist(_u20811))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20811)), _u20811, c_List_Olist_ONil(tc_List_Olist(_u20811)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20811), tc_List_Olist(tc_List_Olist(_u20811))), _u20811), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20811), tc_List_Olist(tc_List_Olist(_u20811)), tc_List_Olist(tc_List_Olist(_u20811))), c_List_Olist_OCons(tc_List_Olist(_u20811))), c_List_Olist_ONil(tc_List_Olist(_u20811)))))), _u20814)))))) )).
% 27.71/27.96 cnf(matrix-8134, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20815), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20816)), _u20817))) | ( hAPP(hAPP(c_List_Onth(_u20816), hAPP(c_List_Orev(_u20816), _u20817)), _u20815) = hAPP(hAPP(c_List_Onth(_u20816), _u20817), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20816)), _u20817)), hAPP(c_Nat_OSuc, _u20815)))) )).
% 27.71/27.96 cnf(matrix-8135, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20819), tc_List_Olist(_u20819))), skolem503(_u20821, _u20820, _u20819)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20819), tc_List_Olist(_u20819))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20819), tc_List_Olist(_u20819)), _u20820), _u20821)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20820) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20821)) | ( c_List_Oconcat(_u20819, _u20820) != c_List_Oconcat(_u20819, _u20821)) | ( _u20820 = _u20821) )).
% 27.71/27.96 cnf(matrix-8136, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20819), tc_List_Olist(_u20819))), skolem503(_u20821, _u20820, _u20819)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20819), tc_List_Olist(_u20819))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20819), tc_List_Olist(_u20819)), _u20820), _u20821)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20820) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20821)) | ( _u20820 != _u20821) | ( c_List_Oconcat(_u20819, _u20820) = c_List_Oconcat(_u20819, _u20821)) )).
% 27.71/27.96 cnf(matrix-8137, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20819), tc_List_Olist(_u20819), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20819), tc_fun(tc_List_Olist(_u20819), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20819), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20819), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20819), tc_HOL_Obool)), tc_List_Olist(_u20819)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20819))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20819)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20819))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20819)))), skolem503(_u20821, _u20820, _u20819))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20820) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20821)) | ( c_List_Oconcat(_u20819, _u20820) != c_List_Oconcat(_u20819, _u20821)) | ( _u20820 = _u20821) )).
% 27.71/27.96 cnf(matrix-8138, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20819), tc_List_Olist(_u20819), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20819), tc_fun(tc_List_Olist(_u20819), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20819), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20819), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20819), tc_HOL_Obool)), tc_List_Olist(_u20819)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20819))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20819)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20819))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20819)))), skolem503(_u20821, _u20820, _u20819))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20820) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20819))), _u20821)) | ( _u20820 != _u20821) | ( c_List_Oconcat(_u20819, _u20820) = c_List_Oconcat(_u20819, _u20821)) )).
% 27.71/27.96 cnf(matrix-8139, plain, ( ( c_List_Oconcat(_u20823, _u20824) != c_List_Oconcat(_u20823, _u20825)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20823))), _u20824) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20823))), _u20825)) | ( _u20824 = _u20825) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20823), tc_List_Olist(_u20823))), skolem504(_u20825, _u20824, _u20823)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20823), tc_List_Olist(_u20823))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20823), tc_List_Olist(_u20823)), _u20824), _u20825)))) )).
% 27.71/27.96 cnf(matrix-8140, plain, ( ( c_List_Oconcat(_u20823, _u20824) != c_List_Oconcat(_u20823, _u20825)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20823))), _u20824) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20823))), _u20825)) | ( _u20824 = _u20825) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20823), tc_List_Olist(_u20823), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20823), tc_fun(tc_List_Olist(_u20823), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20823), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20823), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20823), tc_HOL_Obool)), tc_List_Olist(_u20823)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20823))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20823)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20823))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20823)))), skolem504(_u20825, _u20824, _u20823))) )).
% 27.71/27.96 cnf(matrix-8141, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20826), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20827)), _u20828))) | ( hAPP(c_List_Orev(_u20827), hAPP(hAPP(c_List_Olist__update(_u20827, _u20828), _u20826), _u20829)) = hAPP(hAPP(c_List_Olist__update(_u20827, hAPP(c_List_Orev(_u20827), _u20828)), 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(_u20827)), _u20828)), _u20826)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20829)) )).
% 27.71/27.96 cnf(matrix-8142, plain, ( ( c_List_Oconcat(_u20830, hAPP(hAPP(c_List_Omap(_u20831, tc_List_Olist(_u20830)), hAPP(hAPP(c_COMBC(_u20831, tc_List_Olist(_u20830), tc_List_Olist(_u20830)), hAPP(hAPP(c_COMBB(_u20830, tc_fun(tc_List_Olist(_u20830), tc_List_Olist(_u20830)), _u20831), c_List_Olist_OCons(_u20830)), _u20832)), c_List_Olist_ONil(_u20830))), _u20833)) = hAPP(hAPP(c_List_Omap(_u20831, _u20830), _u20832), _u20833)) )).
% 27.71/27.96 cnf(matrix-8143, plain, ( ~class_Orderings_Olinorder(_u20834) | ~c_List_Olinorder__class_Osorted(_u20834, hAPP(c_List_Orev(_u20834), _u20835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20836), _u20837)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20837), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20834)), _u20835))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20834), hAPP(hAPP(c_List_Onth(_u20834), _u20835), _u20837)), hAPP(hAPP(c_List_Onth(_u20834), _u20835), _u20836))) )).
% 27.71/27.96 cnf(matrix-8144, plain, ( ~class_Orderings_Olinorder(_u20838) | ~c_List_Olinorder__class_Osorted(_u20838, hAPP(c_List_Orev(_u20838), _u20839)) | ( _u20839 != c_List_Olist_ONil(_u20838)) | ( c_List_Ofoldr(_u20838, _u20838, c_Orderings_Oord__class_Omax(_u20838), _u20839, _u20840) = _u20840) )).
% 27.71/27.96 cnf(matrix-8145, plain, ( ~class_Orderings_Olinorder(_u20838) | ~c_List_Olinorder__class_Osorted(_u20838, hAPP(c_List_Orev(_u20838), _u20839)) | ( _u20839 = c_List_Olist_ONil(_u20838)) | ( c_List_Ofoldr(_u20838, _u20838, c_Orderings_Oord__class_Omax(_u20838), _u20839, _u20840) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20838), hAPP(hAPP(c_List_Onth(_u20838), _u20839), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20840)) )).
% 27.71/27.96 cnf(matrix-8146, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20841)), c_List_Otranspose__rel(_u20841)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20841)), hAPP(hAPP(c_List_Olist_OCons(_u20841), _u20842), _u20843)), _u20844))) | ( c_List_Otranspose(_u20841, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20841)), hAPP(hAPP(c_List_Olist_OCons(_u20841), _u20842), _u20843)), _u20844)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20841)), hAPP(hAPP(c_List_Olist_OCons(_u20841), _u20842), c_List_Oconcat(_u20841, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20841), tc_List_Olist(_u20841)), c_List_Olist_Olist__case(tc_List_Olist(_u20841), _u20841, c_List_Olist_ONil(_u20841), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20841), tc_fun(tc_List_Olist(_u20841), tc_List_Olist(_u20841)), _u20841), c_COMBK(tc_List_Olist(_u20841), tc_List_Olist(_u20841))), hAPP(hAPP(c_COMBC(_u20841, tc_List_Olist(_u20841), tc_List_Olist(_u20841)), c_List_Olist_OCons(_u20841)), c_List_Olist_ONil(_u20841))))), _u20844)))), c_List_Otranspose(_u20841, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20841)), _u20843), c_List_Oconcat(tc_List_Olist(_u20841), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20841), tc_List_Olist(tc_List_Olist(_u20841))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20841)), _u20841, c_List_Olist_ONil(tc_List_Olist(_u20841)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20841), tc_List_Olist(tc_List_Olist(_u20841))), _u20841), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20841), tc_List_Olist(tc_List_Olist(_u20841)), tc_List_Olist(tc_List_Olist(_u20841))), c_List_Olist_OCons(tc_List_Olist(_u20841))), c_List_Olist_ONil(tc_List_Olist(_u20841)))))), _u20844)))))) )).
% 27.71/27.96 cnf(matrix-8147, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20845), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20845))), _u20846))) | ( _u20846 != c_List_Olist_ONil(tc_List_Olist(_u20845))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20845))), c_List_Otranspose(_u20845, _u20846)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 27.71/27.96 cnf(matrix-8148, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20845), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20845))), _u20846))) | ( _u20846 = c_List_Olist_ONil(tc_List_Olist(_u20845))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20845))), c_List_Otranspose(_u20845, _u20846)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20845)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20845)), _u20846), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 27.71/27.96 cnf(matrix-8149, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20847), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20847))), _u20848))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20849), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20847))), _u20848))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20847))), hAPP(c_List_Ofilter(tc_List_Olist(_u20847), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20847)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20849)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20847)))), c_List_Otranspose(_u20847, _u20848))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20847)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20847)), _u20848), _u20849))) )).
% 27.71/27.96 cnf(matrix-8150, plain, ( ( c_List_Oconcat(tc_List_Olist(_u20850), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20850), tc_List_Olist(tc_List_Olist(_u20850))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20850)), _u20850, c_List_Olist_ONil(tc_List_Olist(_u20850)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20850), tc_List_Olist(tc_List_Olist(_u20850))), _u20850), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20850), tc_List_Olist(tc_List_Olist(_u20850)), tc_List_Olist(tc_List_Olist(_u20850))), c_List_Olist_OCons(tc_List_Olist(_u20850))), c_List_Olist_ONil(tc_List_Olist(_u20850)))))), _u20851)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20850), tc_List_Olist(_u20850)), c_List_Otl(_u20850)), hAPP(c_List_Ofilter(tc_List_Olist(_u20850), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20850)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20850), tc_List_Olist(_u20850), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20850)))), _u20851))) )).
% 27.71/27.96 cnf(matrix-8151, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20852), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20852))), _u20853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20854), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20852))), c_List_Otranspose(_u20852, _u20853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20855), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20852))), hAPP(c_List_Ofilter(tc_List_Olist(_u20852), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20852)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20854)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20852)))), _u20853)))) | ( hAPP(hAPP(c_List_Onth(_u20852), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20852)), c_List_Otranspose(_u20852, _u20853)), _u20854)), _u20855) = hAPP(hAPP(c_List_Onth(_u20852), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20852)), _u20853), _u20855)), _u20854)) )).
% 27.71/27.96 cnf(matrix-8152, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20856), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20856))), _u20857))) | ( c_List_Otranspose(_u20856, c_List_Otranspose(_u20856, _u20857)) = c_List_OtakeWhile(tc_List_Olist(_u20856), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20856)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20856), tc_List_Olist(_u20856), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20856))), _u20857)) )).
% 27.71/27.96 cnf(matrix-8153, plain, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 27.71/27.96 cnf(matrix-8154, plain, ( ( c_List_OtakeWhile(_u20858, _u20859, hAPP(hAPP(c_List_Omap(_u20860, _u20858), _u20861), _u20862)) = hAPP(hAPP(c_List_Omap(_u20860, _u20858), _u20861), c_List_OtakeWhile(_u20860, hAPP(c_Fun_Ocomp(_u20858, tc_HOL_Obool, _u20860, _u20859), _u20861), _u20862))) )).
% 27.71/27.96 cnf(matrix-8155, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8156, plain, ( ~class_Lattices_Obounded__lattice(_u20863) | class_Lattices_Obounded__lattice(tc_fun(_u20864, _u20863)) )).
% 27.71/27.96 cnf(matrix-8157, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20865) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20866, _u20865)) )).
% 27.71/27.96 cnf(matrix-8158, plain, ( ~class_Lattices_Obounded__lattice(_u20867) | class_Lattices_Obounded__lattice__top(tc_fun(_u20868, _u20867)) )).
% 27.71/27.96 cnf(matrix-8159, plain, ( ~class_Lattices_Obounded__lattice(_u20869) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20870, _u20869)) )).
% 27.71/27.96 cnf(matrix-8160, plain, ( ~class_Lattices_Olattice(_u20871) | class_Lattices_Osemilattice__sup(tc_fun(_u20872, _u20871)) )).
% 27.71/27.96 cnf(matrix-8161, plain, ( ~class_Lattices_Olattice(_u20873) | class_Lattices_Osemilattice__inf(tc_fun(_u20874, _u20873)) )).
% 27.71/27.96 cnf(matrix-8162, plain, ( ~class_Lattices_Odistrib__lattice(_u20875) | class_Lattices_Odistrib__lattice(tc_fun(_u20876, _u20875)) )).
% 27.71/27.96 cnf(matrix-8163, plain, ( ~class_Lattices_Oboolean__algebra(_u20877) | class_Lattices_Oboolean__algebra(tc_fun(_u20878, _u20877)) )).
% 27.71/27.96 cnf(matrix-8164, plain, ( ~class_Orderings_Opreorder(_u20879) | class_Orderings_Opreorder(tc_fun(_u20880, _u20879)) )).
% 27.71/27.96 cnf(matrix-8165, plain, ( ~class_Finite__Set_Ofinite(_u20881) | ~class_Finite__Set_Ofinite(_u20882) | class_Finite__Set_Ofinite(tc_fun(_u20881, _u20882)) )).
% 27.71/27.96 cnf(matrix-8166, plain, ( ~class_Lattices_Olattice(_u20883) | class_Lattices_Olattice(tc_fun(_u20884, _u20883)) )).
% 27.71/27.96 cnf(matrix-8167, plain, ( ~class_Orderings_Oorder(_u20885) | class_Orderings_Oorder(tc_fun(_u20886, _u20885)) )).
% 27.71/27.96 cnf(matrix-8168, plain, ( ~class_Orderings_Otop(_u20887) | class_Orderings_Otop(tc_fun(_u20888, _u20887)) )).
% 27.71/27.96 cnf(matrix-8169, plain, ( ~class_Orderings_Oord(_u20889) | class_Orderings_Oord(tc_fun(_u20890, _u20889)) )).
% 27.71/27.96 cnf(matrix-8170, plain, ( ~class_Orderings_Obot(_u20891) | class_Orderings_Obot(tc_fun(_u20892, _u20891)) )).
% 27.71/27.96 cnf(matrix-8171, plain, ( ~class_Groups_Ouminus(_u20893) | class_Groups_Ouminus(tc_fun(_u20894, _u20893)) )).
% 27.71/27.96 cnf(matrix-8172, plain, ( ~class_Groups_Ominus(_u20895) | class_Groups_Ominus(tc_fun(_u20896, _u20895)) )).
% 27.71/27.96 cnf(matrix-8173, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8174, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8175, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8176, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8177, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8178, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8179, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8180, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8181, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8182, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8183, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8184, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8185, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8186, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8187, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8188, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8189, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8190, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8191, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8192, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8193, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8194, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8195, plain, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8196, plain, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8197, plain, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8198, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8199, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8200, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8201, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8202, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8203, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8204, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8205, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8206, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8207, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8208, plain, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8209, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8210, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8211, plain, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8212, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8213, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8214, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8215, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8216, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8217, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8218, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8219, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8220, plain, ( class_Smallcheck_Osmall(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8221, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8222, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8223, plain, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8224, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8225, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8226, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8227, plain, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8228, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8229, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8230, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8231, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8232, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8233, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8234, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8235, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8236, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8237, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8238, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8239, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8240, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8241, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8242, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8243, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8244, plain, ( class_Rings_Odvd(tc_Int_Oint) )).
% 27.71/27.96 cnf(matrix-8245, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8246, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8247, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8248, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8249, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8250, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8251, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8252, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8253, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8254, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8255, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8256, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8257, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8258, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8259, plain, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8260, plain, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8261, plain, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8262, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8263, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8264, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8265, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8266, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8267, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8268, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8269, plain, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8270, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8271, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8272, plain, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8273, plain, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8274, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8275, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8276, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8277, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8278, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8279, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8280, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8281, plain, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8282, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8283, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8284, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8285, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8286, plain, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8287, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8288, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8289, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8290, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8291, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8292, plain, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 27.71/27.96 cnf(matrix-8293, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8294, plain, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8295, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8296, plain, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8297, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8298, plain, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8299, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8300, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8301, plain, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8302, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8303, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8304, plain, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8305, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8306, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8307, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8308, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 27.71/27.96 cnf(matrix-8309, plain, ( class_Finite__Set_Ofinite(tc_String_Ochar) )).
% 27.71/27.96 cnf(matrix-8310, plain, ( ~class_Finite__Set_Ofinite(_u20897) | ~class_Finite__Set_Ofinite(_u20898) | class_Finite__Set_Ofinite(tc_sum(_u20897, _u20898)) )).
% 27.71/27.96 cnf(matrix-8311, plain, ( ~class_Finite__Set_Ofinite(_u20899) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20899)) )).
% 27.71/27.96 cnf(matrix-8312, plain, ( class_Finite__Set_Ofinite(tc_String_Onibble) )).
% 27.71/27.96 cnf(matrix-8313, plain, ( ~class_Finite__Set_Ofinite(_u20900) | ~class_Finite__Set_Ofinite(_u20901) | class_Finite__Set_Ofinite(tc_prod(_u20900, _u20901)) )).
% 27.71/27.96 cnf(matrix-8314, plain, ( ~class_Smallcheck_Osmall(_u20902) | ~class_Smallcheck_Osmall(_u20903) | class_Smallcheck_Osmall(tc_prod(_u20902, _u20903)) )).
% 27.71/27.96 cnf(matrix-8315, plain, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 27.71/27.96 cnf(matrix-8316, plain, ( class_Smallcheck_Osmall(tc_Product__Type_Ounit) )).
% 27.71/27.96 cnf(matrix-8317, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8318, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8319, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8320, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8321, plain, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8322, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8323, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8324, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8325, plain, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8326, plain, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8327, plain, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8328, plain, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8329, plain, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8330, plain, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8331, plain, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8332, plain, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8333, plain, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8334, plain, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8335, plain, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8336, plain, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8337, plain, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8338, plain, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8339, plain, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8340, plain, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8341, plain, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8342, plain, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8343, plain, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8344, plain, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8345, plain, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8346, plain, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8347, plain, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8348, plain, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8349, plain, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8350, plain, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8351, plain, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8352, plain, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8353, plain, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8354, plain, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8355, plain, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8356, plain, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8357, plain, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 27.71/27.96 cnf(matrix-8358, plain, ( ( hAPP(c_COMBI(_u20904), _u20905) = _u20905) )).
% 27.71/27.96 cnf(matrix-8359, plain, ( ( hAPP(hAPP(c_COMBK(_u20906, _u20907), _u20908), _u20909) = _u20908) )).
% 27.71/27.96 cnf(matrix-8360, plain, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20910, _u20911, _u20912), _u20913), _u20914), _u20915) = hAPP(_u20913, hAPP(_u20914, _u20915))) )).
% 27.71/27.96 cnf(matrix-8361, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20916, _u20917, _u20918), _u20919), _u20920), _u20921) = hAPP(hAPP(_u20919, _u20921), _u20920)) )).
% 27.71/27.96 cnf(matrix-8362, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20922, _u20923, _u20924), _u20925), _u20926), _u20927) = hAPP(hAPP(_u20925, _u20927), hAPP(_u20926, _u20927))) )).
% 27.71/27.96 cnf(matrix-8363, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20928), _u20929)) | ( _u20928 = _u20929) )).
% 27.71/27.96 cnf(matrix-8364, plain, ( ( _u20930 != _u20931) | hBOOL(hAPP(hAPP(c_fequal, _u20930), _u20931)) )).
% 27.71/27.96 cnf(matrix-8365, plain, ( ~hBOOL(c_fFalse) )).
% 27.71/27.96 cnf(matrix-8366, plain, ( hBOOL(c_fTrue) )).
% 27.71/27.96 cnf(matrix-8367, plain, ( ~hBOOL(hAPP(c_fNot, _u20932)) | ~hBOOL(_u20932) )).
% 27.71/27.96 cnf(matrix-8368, plain, ( hBOOL(_u20933) | hBOOL(hAPP(c_fNot, _u20933)) )).
% 27.71/27.96 cnf(matrix-8369, plain, ( ~hBOOL(_u20935) | ~hBOOL(_u20934) | hBOOL(hAPP(hAPP(c_fconj, _u20934), _u20935)) )).
% 27.71/27.96 cnf(matrix-8370, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20936), _u20937)) | hBOOL(_u20936) )).
% 27.71/27.96 cnf(matrix-8371, plain, ( hBOOL(_u20939) | ~hBOOL(hAPP(hAPP(c_fconj, _u20938), _u20939)) )).
% 27.71/27.96 cnf(matrix-8372, plain, ( ~hBOOL(_u20940) | hBOOL(hAPP(hAPP(c_fdisj, _u20940), _u20941)) )).
% 27.71/27.96 cnf(matrix-8373, plain, ( ~hBOOL(_u20942) | hBOOL(hAPP(hAPP(c_fdisj, _u20943), _u20942)) )).
% 27.71/27.96 cnf(matrix-8374, plain, ( hBOOL(_u20945) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20944), _u20945)) | hBOOL(_u20944) )).
% 27.71/27.96 cnf(matrix-8375, plain, ( hBOOL(_u20946) | hBOOL(hAPP(hAPP(c_fimplies, _u20946), _u20947)) )).
% 27.71/27.96 cnf(matrix-8376, plain, ( ~hBOOL(_u20948) | hBOOL(hAPP(hAPP(c_fimplies, _u20949), _u20948)) )).
% 27.71/27.96 cnf(matrix-8377, plain, ( hBOOL(_u20951) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20950), _u20951)) | ~hBOOL(_u20950) )).
% 27.71/27.96 cnf(matrix-8378, plain, ( v_P(skolem505, skolem506) )).
% 27.71/27.96 cnf(matrix-8379, plain, ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, v_pn), skolem506, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), skolem507) )).
% 27.71/27.96 cnf(matrix-8380, plain, ( ~v_Q(skolem505, skolem507) )).
% 27.71/27.96
% 27.71/27.96 % Proof stack:
% 27.71/27.96 cnf(proof-stack, plain,
% 27.71/27.96 proof_stack(
% 27.71/27.96 start(8379),
% 27.71/27.96 left_branch(0, 1265, 0, 2),
% 27.71/27.96 left_branch(0, 1285, 0, 3),
% 27.71/27.96 right_branch(3),
% 27.71/27.96 right_branch(2)
% 27.71/27.96 )).
% 27.71/27.96 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------